Finite Group Databasebeta

← C2×#56606 #8099413

Subgroups — C2×#56606 #8099413

Order 512.

7326 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#56606C2132yesmaximal, direct product factor
2C2×#2808C211yesmaximal, characteristic, complemented
3C2×#2795C211yesmaximal, characteristic, complemented
4C2×#2744C211yesmaximal, characteristic, complemented
5C2×#2736C211yesmaximal, characteristic, complemented
6C2×#2703C211yesmaximal, characteristic, complemented
7C2×#2696C211yesmaximal, characteristic, complemented
8C2×#2696C211yesmaximal, characteristic, complemented
9C2×#2684C211yesmaximal, characteristic, complemented
10C2×#2681C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2678C211yesmaximal, characteristic, complemented
13C2×#2676C211yesmaximal, characteristic, complemented
14C2×#2673C211yesmaximal, characteristic, complemented
15C2×#2673C211yesmaximal, characteristic, complemented
16C2×#2670C211yesmaximal, characteristic, complemented
17C2×#2669C211yesmaximal, characteristic, complemented
18C2×#2819C211yesmaximal, characteristic, complemented
19C2×#2828C211yesmaximal, characteristic, complemented
20C2×#2824C211yesmaximal, characteristic, complemented
21C2×#2557C211yesmaximal, characteristic, complemented
22C2×#2500C211yesmaximal, characteristic, complemented
23C2×#2411C211yesmaximal, characteristic, complemented
24C2×#2476C211yesmaximal, characteristic, complemented
25C2×#2422C211yesmaximal, characteristic, complemented
26C2×#2408C211yesmaximal, characteristic, complemented
27C2×#2459C211yesmaximal, characteristic, complemented
28C2×#2472C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2661C211yesmaximal, characteristic, complemented
31C2×#2661C211yesmaximal, characteristic, complemented
32C2×#2613C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#127C2211yescharacteristic, complemented
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic, complemented
40C22×#123C2211yescharacteristic, complemented
41C22×#123C2211yescharacteristic, complemented
42C22×#123C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C22⋊Q8C2211yescharacteristic, complemented
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×#120C2211yescharacteristic
58C22×C4×D4C2211yescharacteristic
59C22×#117C2211yescharacteristic, complemented
60C23×C22⋊C4C2211yescharacteristic
61#2828C22116yescomplemented
62#2824C22116yescomplemented
63#2819C22116yescomplemented
64#2808C22116yescomplemented
65#2795C22116yescomplemented
66#2744C22116yescomplemented
67#2736C22116yescomplemented
68#2703C22116yescomplemented
69#2696C22116yescomplemented
70#2696C22116yescomplemented
71#2684C22116yescomplemented
72#2681C22116yescomplemented
73#2678C22116yescomplemented
74#2678C22116yescomplemented
75#2676C22116yescomplemented
76#2673C22116yescomplemented
77#2673C22116yescomplemented
78#2670C22116yescomplemented
79#2669C22116yescomplemented
80#2661C22116yescomplemented
81#2661C22116yescomplemented
82#2613C22116yescomplemented
83#2557C22116yescomplemented
84#2500C22116yescomplemented
85#2476C22116yescomplemented
86#2472C22116yescomplemented
87#2459C22116yescomplemented
88#2422C22116yescomplemented
89#2411C22116yescomplemented
90#2410C22116yescomplemented
91#2408C22116yescomplemented
92C2×#400C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic, complemented
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, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#394C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#393C2211yescharacteristic
132C2×#393C2211yescharacteristic, complemented
133C2×#393C2211yescharacteristic, complemented
134C2×#393C2211yescharacteristic, complemented
135C2×#393C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic, complemented
137C2×#393C2211yescharacteristic, complemented
138C2×#393C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic, complemented
150C2×#392C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic, complemented
152C2×#392C2211yescharacteristic, complemented
153C2×#392C2211yescharacteristic, complemented
154C2×#392C2211yescharacteristic, complemented
155C2×#392C2211yescharacteristic, complemented
156C2×#391C2211yescharacteristic, complemented
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#390C2211yescharacteristic, complemented
164C2×#390C2211yescharacteristic, complemented
165C2×#390C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#387C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#384C2211yescharacteristic, complemented
207C2×#382C2211yescharacteristic, complemented
208C2×#381C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic, complemented
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—44no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2318yes—
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C2×#127—44no—
256C2×#127C2318yescomplemented
257C2×#124—44no—
258C2×#124—44no—
259C2×#124—44no—
260C2×#124C2318yes—
261C2×#124C2318yescomplemented
262C2×#124C2318yescomplemented
263C2×#123—44no—
264C2×#123—44no—
265C2×#123—44no—
266C2×#123—44no—
267C2×#123—44no—
268C2×#123C2318yes—
269C2×#123C2318yescomplemented
270C2×#123C2318yescomplemented
271C2×#123C2318yescomplemented
272C2×#123C2318yescomplemented
273C2×C22⋊Q8—44no—
274C2×C22⋊Q8—44no—
275C2×C22⋊Q8C2318yescomplemented
276C2×C22⋊Q8C2318yescomplemented
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×#121C2318yescomplemented
290C2×#121C2318yescomplemented
291C2×#120—44no—
292C2×#120—44no—
293C2×#120—44no—
294C2×#120—44no—
295C2×#120—44no—
296C2×#120—44no—
297C2×#120C2318yes—
298C2×#120C2318yes—
299C2×#120C2318yes—
300C2×#120C2318yes—
301C2×#120C2318yes—
302C2×#120C2318yes—
303C2×C4×D4—44no—
304C2×C4×D4C2318yes—
305C2×#117—44no—
306C2×#117C2318yescomplemented
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C22⋊C4—44no—
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊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⋊C4C2318yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400#400C2318yescomplemented
401#400C2318yescomplemented
402#400C2318yescomplemented
403#398C2318yescomplemented
404#398C2318yescomplemented
405#397C2318yes—
406#397C2318yes—
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#397C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#396C2318yes—
414#396C2318yescomplemented
415#396C2318yescomplemented
416#394C2318yes—
417#394C2318yes—
418#394C2318yes—
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yescomplemented
427#394C2318yescomplemented
428#394C2318yescomplemented
429#394C2318yescomplemented
430#394C2318yescomplemented
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#394C2318yescomplemented
437#394C2318yescomplemented
438#394C2318yescomplemented
439#393C2318yes—
440#393C2318yescomplemented
441#393C2318yescomplemented
442#393C2318yescomplemented
443#393C2318yescomplemented
444#393C2318yescomplemented
445#393C2318yescomplemented
446#393C2318yescomplemented
447#392C2318yes—
448#392C2318yes—
449#392C2318yes—
450#392C2318yes—
451#392C2318yes—
452#392C2318yes—
453#392C2318yes—
454#392C2318yes—
455#392C2318yes—
456#392C2318yes—
457#392C2318yescomplemented
458#392C2318yescomplemented
459#392C2318yescomplemented
460#392C2318yescomplemented
461#392C2318yescomplemented
462#392C2318yescomplemented
463#392C2318yescomplemented
464#391C2318yescomplemented
465#390C2318yes—
466#390C2318yes—
467#390C2318yes—
468#390C2318yes—
469#390C2318yescomplemented
470#390C2318yescomplemented
471#390C2318yescomplemented
472#390C2318yescomplemented
473#390C2318yescomplemented
474#389C2318yescomplemented
475#388C2318yes—
476#388C2318yes—
477#388C2318yes—
478#388C2318yescomplemented
479#388C2318yescomplemented
480#388C2318yescomplemented
481#388C2318yescomplemented
482#388C2318yescomplemented
483#388C2318yescomplemented
484#388C2318yescomplemented
485#388C2318yescomplemented
486#388C2318yescomplemented
487#388C2318yescomplemented
488#388C2318yescomplemented
489#388C2318yescomplemented
490#388C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#387C2318yescomplemented
494#387C2318yescomplemented
495#387C2318yescomplemented
496#387C2318yescomplemented
497#387C2318yescomplemented
498#386C2318yes—
499#386C2318yes—
500#386C2318yes—
501#386C2318yes—
502#386C2318yescomplemented
503#386C2318yescomplemented
504#386C2318yescomplemented
505#386C2318yescomplemented
506#386C2318yescomplemented
507#386C2318yescomplemented
508#386C2318yescomplemented
509#386C2318yescomplemented
510#386C2318yescomplemented
511#385C2318yes—
512#385C2318yescomplemented
513#385C2318yescomplemented
514#384C2318yescomplemented
515#382C2318yescomplemented
516#381C2318yes—
517#380C2318yes—
518#380C2318yescomplemented
519#379C2318yes—
520#379C2318yes—
521#379C2318yes—
522#379C2318yes—
523#379C2318yes—
524C4×C22⋊C4C2318yescomplemented
525C4×C22⋊C4C2318yescomplemented
526C4×C22⋊C4C2318yescomplemented
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C25—24no—
560C25—24no—
561C25—24no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2414yes—
582C25C2414yes—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8—42no—
587C22×Q8—42no—
588C22×Q8—42no—
589C22×Q8C2414yes—
590C22×Q8C2414yes—
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—416no—
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—416no—
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—416no—
660C22×D4—464no—
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—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2414yes—
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2414yes—
730#127—416no—
731#124—416no—
732#124—416no—
733#124—416no—
734#123—416no—
735#123—416no—
736#123—416no—
737#123—416no—
738#123—416no—
739C22⋊Q8—416no—
740C22⋊Q8—416no—
741#121—416no—
742#121—416no—
743#121—416no—
744#121—416no—
745#121—416no—
746#121—416no—
747#121—416no—
748#120—416no—
749#120—416no—
750#120—416no—
751#120—416no—
752#120—416no—
753#120—416no—
754C4×D4—416no—
755#117—416no—
756C2×C4⋊C4—24no—
757C2×C4⋊C4—24no—
758C2×C4⋊C4—24no—
759C2×C4⋊C4—24no—
760C2×C4⋊C4—24no—
761C2×C4⋊C4—24no—
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×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
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—416no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
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⋊C4C2414yes—
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×C22⋊C4C2414yes—
925C2×C42—24no—
926C2×C42—42no—
927C2×C42—42no—
928C2×C42—42no—
929C2×C42—42no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935C2×C42C2414yes—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—28no—
1026C24—28no—
1027C24—28no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—416no—
1040C24—416no—
1041C24—416no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24—88no—
1048C24—88no—
1049C24—88no—
1050C24—88no—
1051C24—88no—
1052C24—88no—
1053C24H(5,𝔽2)14yes—
1054C24H(5,𝔽2)14yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C2×Q8—44no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—88no—
1071C2×Q8—88no—
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—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—416no—
1094C2×D4—416no—
1095C2×D4—416no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—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—416no—
1142C2×D4—4128no—
1143C2×D4—416no—
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—
1153C2×D4—88no—
1154C2×D4—88no—
1155C2×D4—88no—
1156C2×D4—88no—
1157C2×D4—88no—
1158C2×D4—88no—
1159C2×D4—88no—
1160C2×D4—88no—
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—28no—
1216C22×C4—28no—
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—28no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—416no—
1246C22×C4—416no—
1247C22×C4—88no—
1248C22×C4—88no—
1249C22×C4—88no—
1250C22×C4—88no—
1251C22×C4H(5,𝔽2)14yes—
1252C22×C4H(5,𝔽2)14yes—
1253C22×C4H(5,𝔽2)14yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
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—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
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—
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—
1361C42—28no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
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—28no—
1381C23—28no—
1382C23—28no—
1383C23—28no—
1384C23—28no—
1385C23—28no—
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—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—416no—
1429C23—416no—
1430C23—416no—
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—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—88no—
1482C23—88no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—864no—
1493C23—864no—
1494C23C2×H(5,𝔽2)14yes—
1495C23C2×H(5,𝔽2)14yes—
1496C23C2×H(5,𝔽2)12yes—
1497C23C2×H(5,𝔽2)12yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23#58512yes—
1502C23#58512yes—
1503C23C2611yescharacteristic
1504Q8—88no—
1505Q8—88no—
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—416no—
1510D4—416no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—28no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—416no—
1598C2×C4—416no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4C2×H(5,𝔽2)14yes—
1624C2×C4C2×H(5,𝔽2)14yes—
1625C2×C4C2×H(5,𝔽2)14yes—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—416no—
1638C22—416no—
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—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—832no—
1685C22—832no—
1686C22—88no—
1687C22—88no—
1688C22—88no—
1689C22—88no—
1690C22—88no—
1691C22—88no—
1692C22#353214yes—
1693C22#353414yes—
1694C22#353414yes—
1695C22#354214yes—
1696C22#354914yes—
1697C22#355814yes—
1698C22#356214yes—
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C22×H(5,𝔽2)11yescharacteristic
1702C22C22×H(5,𝔽2)11yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C4—24no—
1707C4—24no—
1708C4—24no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C2—44no—
1730C2—44no—
1731C2—82no—
1732C2—82no—
1733C2—82no—
1734C2—82no—
1735C2—82no—
1736C2—82no—
1737C2#5660618yesdirect product factor
1738C2C2×#353211yescharacteristic
1739C2C2×#354211yescharacteristic
1740C2C2×#353411yescharacteristic
1741C2C2×#353411yescharacteristic
1742C2C2×#355811yescharacteristic
1743C2C2×#356211yescharacteristic
1744C2C2×#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. #56606C2direct (N × H)
2. C2×#2808C2semidirect
3. C2×#2795C2semidirect
4. C2×#2744C2semidirect
5. C2×#2736C2semidirect
6. C2×#2703C2semidirect
7. C2×#2696C2semidirect
8. C2×#2696C2semidirect
9. C2×#2684C2semidirect
10. C2×#2681C2semidirect
11. C2×#2678C2semidirect
12. C2×#2678C2semidirect
13. C2×#2676C2semidirect
14. C2×#2673C2semidirect
15. C2×#2673C2semidirect
16. C2×#2670C2semidirect
17. C2×#2669C2semidirect
18. C2×#2819C2semidirect
19. C2×#2828C2semidirect
20. C2×#2824C2semidirect
21. C2×#2557C2semidirect
22. C2×#2500C2semidirect
23. C2×#2411C2semidirect
24. C2×#2476C2semidirect
25. C2×#2422C2semidirect
26. C2×#2408C2semidirect
27. C2×#2459C2semidirect
28. C2×#2472C2semidirect
29. C2×#2410C2semidirect
30. C2×#2661C2semidirect
31. C2×#2661C2semidirect
32. C2×#2613C2semidirect
34. C22×#127C22semidirect
36. C22×#124C22semidirect
37. C22×#124C22semidirect
39. C22×#123C22semidirect
40. C22×#123C22semidirect
41. C22×#123C22semidirect
42. C22×#123C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×C22⋊Q8C22semidirect
50. C22×#121C22semidirect
51. C22×#121C22semidirect
59. C22×#117C22semidirect
61. #2828C22semidirect
62. #2824C22semidirect
63. #2819C22semidirect
64. #2808C22semidirect
65. #2795C22semidirect
66. #2744C22semidirect
67. #2736C22semidirect
68. #2703C22semidirect
69. #2696C22semidirect
70. #2696C22semidirect
71. #2684C22semidirect
72. #2681C22semidirect
73. #2678C22semidirect
74. #2678C22semidirect
75. #2676C22semidirect
76. #2673C22semidirect
77. #2673C22semidirect
78. #2670C22semidirect
79. #2669C22semidirect
80. #2661C22semidirect
81. #2661C22semidirect
82. #2613C22semidirect
83. #2557C22semidirect
84. #2500C22semidirect
85. #2476C22semidirect
86. #2472C22semidirect
87. #2459C22semidirect
88. #2422C22semidirect
89. #2411C22semidirect
90. #2410C22semidirect
91. #2408C22semidirect
92. C2×#400C22semidirect
93. C2×#400C22semidirect
94. C2×#400C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
106. C2×#396C22semidirect
107. C2×#396C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
122. C2×#394C22semidirect
123. C2×#394C22semidirect
124. C2×#394C22semidirect
125. C2×#394C22semidirect
126. C2×#394C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
132. C2×#393C22semidirect
133. C2×#393C22semidirect
134. C2×#393C22semidirect
135. C2×#393C22semidirect
136. C2×#393C22semidirect
137. C2×#393C22semidirect
138. C2×#393C22semidirect
149. C2×#392C22semidirect
150. C2×#392C22semidirect
151. C2×#392C22semidirect
152. C2×#392C22semidirect
153. C2×#392C22semidirect
154. C2×#392C22semidirect
155. C2×#392C22semidirect
156. C2×#391C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#390C22semidirect
164. C2×#390C22semidirect
165. C2×#390C22semidirect
166. C2×#389C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#387C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
189. C2×#387C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#384C22semidirect
207. C2×#382C22semidirect
210. C2×#380C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
256. C2×#127C23semidirect
261. C2×#124C23semidirect
262. C2×#124C23semidirect
269. C2×#123C23semidirect
270. C2×#123C23semidirect
271. C2×#123C23semidirect
272. C2×#123C23semidirect
275. C2×C22⋊Q8C23semidirect
276. C2×C22⋊Q8C23semidirect
289. C2×#121C23semidirect
290. C2×#121C23semidirect
306. C2×#117C23semidirect
400. #400C23semidirect
401. #400C23semidirect
402. #400C23semidirect
403. #398C23semidirect
404. #398C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
410. #397C23semidirect
411. #397C23semidirect
412. #397C23semidirect
414. #396C23semidirect
415. #396C23semidirect
426. #394C23semidirect
427. #394C23semidirect
428. #394C23semidirect
429. #394C23semidirect
430. #394C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
435. #394C23semidirect
436. #394C23semidirect
437. #394C23semidirect
438. #394C23semidirect
440. #393C23semidirect
441. #393C23semidirect
442. #393C23semidirect
443. #393C23semidirect
444. #393C23semidirect
445. #393C23semidirect
446. #393C23semidirect
457. #392C23semidirect
458. #392C23semidirect
459. #392C23semidirect
460. #392C23semidirect
461. #392C23semidirect
462. #392C23semidirect
463. #392C23semidirect
464. #391C23semidirect
469. #390C23semidirect
470. #390C23semidirect
471. #390C23semidirect
472. #390C23semidirect
473. #390C23semidirect
474. #389C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #387C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
507. #386C23semidirect
508. #386C23semidirect
509. #386C23semidirect
510. #386C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #384C23semidirect
515. #382C23semidirect
518. #380C23semidirect
524. C4×C22⋊C4C23semidirect
525. C4×C22⋊C4C23semidirect
526. C4×C22⋊C4C23semidirect
1737. C2#56606direct (N × H)

Maximal subgroups

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

subgroupindex
#566062
C2×#28082
C2×#27952
C2×#27442
C2×#27362
C2×#27032
C2×#26962
C2×#26842
C2×#26812
C2×#26782
C2×#26762
C2×#26732
C2×#26702
C2×#26692
C2×#28192
C2×#28282
C2×#28242
C2×#25572
C2×#25002
C2×#24112
C2×#24762
C2×#24222
C2×#24082
C2×#24592
C2×#24722
C2×#24102
C2×#26612
C2×#26132