Finite Group Databasebeta

← C2×#47572 #7701489

Subgroups — C2×#47572 #7701489

Order 512.

6792 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2803C211yesmaximal, characteristic, complemented
2C2×#2800C211yesmaximal, characteristic, complemented
3C2×#2752C211yesmaximal, characteristic, complemented
4C2×#2742C211yesmaximal, characteristic, complemented
5C2×#2703C211yesmaximal, characteristic, complemented
6C2×#2696C211yesmaximal, characteristic, complemented
7C2×#2688C211yesmaximal, characteristic, complemented
8C2×#2686C211yesmaximal, characteristic, complemented
9C2×#2673C211yesmaximal, characteristic, complemented
10C2×#2672C211yesmaximal, characteristic, complemented
11C2×#2670C211yesmaximal, characteristic, complemented
12C2×#2669C211yesmaximal, characteristic, complemented
13#47572C2132yesmaximal, direct product factor
14C2×#2828C211yesmaximal, characteristic, complemented
15C2×#2610C211yesmaximal, characteristic, complemented
16C2×#2596C211yesmaximal, characteristic, complemented
17C2×#2539C211yesmaximal, characteristic, complemented
18C2×#2534C211yesmaximal, characteristic, complemented
19C2×#2526C211yesmaximal, characteristic, complemented
20C2×#2470C211yesmaximal, characteristic, complemented
21C2×#2470C211yesmaximal, characteristic, complemented
22C2×#2414C211yesmaximal, characteristic, complemented
23C2×#2414C211yesmaximal, characteristic, complemented
24C2×#2457C211yesmaximal, characteristic, complemented
25C2×#2445C211yesmaximal, characteristic, complemented
26C2×#2461C211yesmaximal, characteristic, complemented
27C2×#2412C211yesmaximal, characteristic, complemented
28C2×#2456C211yesmaximal, characteristic, complemented
29C2×#2424C211yesmaximal, characteristic, complemented
30C2×#2324C211yesmaximal, characteristic, complemented
31C2×#2321C211yesmaximal, characteristic, complemented
32C2×#2319C211yesmaximal, characteristic, complemented
33C22×#127C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic, complemented
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic
55C22×C4×D4C2211yescharacteristic, complemented
56C22×#117C2211yescharacteristic, complemented
57C22×#117C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60#2828C22116yescomplemented
61#2803C22116yescomplemented
62#2800C22116yescomplemented
63#2752C22116yescomplemented
64#2742C22116yescomplemented
65#2703C22116yescomplemented
66#2696C22116yescomplemented
67#2688C22116yescomplemented
68#2686C22116yescomplemented
69#2673C22116yescomplemented
70#2672C22116yescomplemented
71#2670C22116yescomplemented
72#2669C22116yescomplemented
73#2610C22116yescomplemented
74#2596C22116yescomplemented
75#2539C22116yescomplemented
76#2534C22116yescomplemented
77#2526C22116yescomplemented
78#2470C22116yescomplemented
79#2470C22116yescomplemented
80#2461C22116yescomplemented
81#2457C22116yescomplemented
82#2456C22116yescomplemented
83#2445C22116yescomplemented
84#2424C22116yescomplemented
85#2414C22116yescomplemented
86#2414C22116yescomplemented
87#2412C22116yescomplemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic
93C2×#399C2211yescharacteristic
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic
101C2×#396C2211yescharacteristic
102C2×#396C2211yescharacteristic
103C2×#396C2211yescharacteristic, complemented
104C2×#395C2211yescharacteristic, complemented
105C2×#395C2211yescharacteristic, complemented
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#393C2211yescharacteristic
123C2×#393C2211yescharacteristic, complemented
124C2×#392C2211yescharacteristic
125C2×#392C2211yescharacteristic
126C2×#392C2211yescharacteristic
127C2×#392C2211yescharacteristic
128C2×#392C2211yescharacteristic
129C2×#392C2211yescharacteristic
130C2×#392C2211yescharacteristic
131C2×#392C2211yescharacteristic
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic
134C2×#392C2211yescharacteristic, complemented
135C2×#392C2211yescharacteristic, complemented
136#2324C22116yescomplemented
137#2321C22116yescomplemented
138#2319C22116yescomplemented
139C2×#390C2211yescharacteristic
140C2×#390C2211yescharacteristic
141C2×#390C2211yescharacteristic
142C2×#390C2211yescharacteristic
143C2×#390C2211yescharacteristic
144C2×#390C2211yescharacteristic
145C2×#390C2211yescharacteristic
146C2×#390C2211yescharacteristic
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic, complemented
149C2×#390C2211yescharacteristic, complemented
150C2×#390C2211yescharacteristic, complemented
151C2×#389C2211yescharacteristic, complemented
152C2×#389C2211yescharacteristic, complemented
153C2×#389C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
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×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#387C2211yescharacteristic, complemented
183C2×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic
206C2×#381C2211yescharacteristic
207C2×#381C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×#376C2211yescharacteristic, 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
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C2×#127—44no—
248C2×#127C2318yes—
249C2×#124—44no—
250C2×#124—44no—
251C2×#124C2318yes—
252C2×#124C2318yes—
253C2×#123—44no—
254C2×#123—44no—
255C2×#123—44no—
256C2×#123—44no—
257C2×#123—44no—
258C2×#123C2318yes—
259C2×#123C2318yes—
260C2×#123C2318yes—
261C2×#123C2318yes—
262C2×#123C2318yescomplemented
263C2×C22⋊Q8—44no—
264C2×C22⋊Q8C2318yescomplemented
265C2×#121—28no—
266C2×#121—44no—
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121C2318yes—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#121C2318yes—
276C2×#121C2318yescomplemented
277C2×#120—28no—
278C2×#120—44no—
279C2×#120—44no—
280C2×#120—44no—
281C2×#120C2318yes—
282C2×#120C2318yes—
283C2×#120C2318yes—
284C2×#120C2318yes—
285C2×C4×D4—28no—
286C2×C4×D4—44no—
287C2×C4×D4—44no—
288C2×C4×D4—44no—
289C2×C4×D4C2318yes—
290C2×C4×D4C2318yes—
291C2×C4×D4C2318yes—
292C2×C4×D4C2318yescomplemented
293C2×#117—44no—
294C2×#117—44no—
295C2×#117C2318yescomplemented
296C2×#117C2318yescomplemented
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C22⋊C4—44no—
323C22×C22⋊C4—44no—
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
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⋊C4C2318yes—
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⋊C4C2318yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394#400C2318yescomplemented
395#400C2318yescomplemented
396#400C2318yescomplemented
397#400C2318yescomplemented
398#399C2318yes—
399#399C2318yes—
400#397C2318yes—
401#397C2318yes—
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#396C2318yes—
407#396C2318yes—
408#396C2318yes—
409#396C2318yescomplemented
410#395C2318yescomplemented
411#395C2318yescomplemented
412#394C2318yes—
413#394C2318yes—
414#394C2318yes—
415#394C2318yes—
416#394C2318yes—
417#394C2318yes—
418#394C2318yes—
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yescomplemented
423#394C2318yescomplemented
424#394C2318yescomplemented
425#394C2318yescomplemented
426#394C2318yescomplemented
427#394C2318yescomplemented
428#393C2318yes—
429#393C2318yescomplemented
430#392C2318yes—
431#392C2318yes—
432#392C2318yes—
433#392C2318yes—
434#392C2318yes—
435#392C2318yes—
436#392C2318yes—
437#392C2318yes—
438#392C2318yes—
439#392C2318yes—
440#392C2318yescomplemented
441#392C2318yescomplemented
442#390C2318yes—
443#390C2318yes—
444#390C2318yes—
445#390C2318yes—
446#390C2318yes—
447#390C2318yes—
448#390C2318yes—
449#390C2318yes—
450#390C2318yes—
451#390C2318yescomplemented
452#390C2318yescomplemented
453#390C2318yescomplemented
454#389C2318yescomplemented
455#389C2318yescomplemented
456#389C2318yescomplemented
457#389C2318yescomplemented
458#389C2318yescomplemented
459#389C2318yescomplemented
460#388C2318yes—
461#388C2318yes—
462#388C2318yes—
463#388C2318yes—
464#388C2318yes—
465#388C2318yes—
466#388C2318yes—
467#388C2318yes—
468#388C2318yes—
469#388C2318yes—
470#388C2318yes—
471#388C2318yescomplemented
472#388C2318yescomplemented
473#388C2318yescomplemented
474#388C2318yescomplemented
475#388C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#388C2318yescomplemented
480#388C2318yescomplemented
481#388C2318yescomplemented
482#387C2318yescomplemented
483#387C2318yescomplemented
484#387C2318yescomplemented
485#387C2318yescomplemented
486#387C2318yescomplemented
487#387C2318yescomplemented
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yes—
497#386C2318yes—
498#386C2318yes—
499#386C2318yescomplemented
500#386C2318yescomplemented
501#386C2318yescomplemented
502#386C2318yescomplemented
503#385C2318yes—
504#385C2318yes—
505#385C2318yes—
506#385C2318yescomplemented
507#385C2318yescomplemented
508#381C2318yes—
509#381C2318yes—
510#381C2318yescomplemented
511#380C2318yes—
512#380C2318yes—
513#380C2318yes—
514#380C2318yescomplemented
515#380C2318yescomplemented
516#379C2318yes—
517C4×C4⋊C4C2318yescomplemented
518C4×C4⋊C4C2318yescomplemented
519C4×C22⋊C4C2318yes—
520C4×C22⋊C4C2318yes—
521#376C2318yescomplemented
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C25—24no—
557C25—24no—
558C25—42no—
559C25—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2414yes—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8—42no—
574C22×Q8C2414yes—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
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×D4C2414yes—
630C22×D4C2414yes—
631C22×D4C2414yes—
632C22×D4C2414yes—
633C22×D4C2414yes—
634C22×D4C2414yes—
635C22×D4C2414yes—
636C22×D4C2414yes—
637C22×D4C2414yes—
638C22×D4C2414yes—
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C23×C4—24no—
648C23×C4—24no—
649C23×C4—24no—
650C23×C4—24no—
651C23×C4—24no—
652C23×C4—24no—
653C23×C4—24no—
654C23×C4—24no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4—42no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2414yes—
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703#127—416no—
704#124—416no—
705#124—416no—
706#123—416no—
707#123—416no—
708#123—416no—
709#123—416no—
710#123—416no—
711C22⋊Q8—416no—
712#121—232no—
713#121—416no—
714#121—416no—
715#121—416no—
716#121—416no—
717#121—416no—
718#120—232no—
719#120—416no—
720#120—416no—
721#120—416no—
722C4×D4—232no—
723C4×D4—416no—
724C4×D4—416no—
725C4×D4—416no—
726#117—416no—
727#117—416no—
728C2×C4⋊C4—24no—
729C2×C4⋊C4—24no—
730C2×C4⋊C4—24no—
731C2×C4⋊C4—24no—
732C2×C4⋊C4—24no—
733C2×C4⋊C4—24no—
734C2×C4⋊C4—24no—
735C2×C4⋊C4—24no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—416no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—416no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
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#4118yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
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×C42—24no—
897C2×C42—24no—
898C2×C42—24no—
899C2×C42—42no—
900C2×C42—42no—
901C2×C42—42no—
902C2×C42—42no—
903C2×C42—42no—
904C2×C42—42no—
905C2×C42—42no—
906C2×C42C2414yes—
907C2×C42C2414yes—
908C2×C42C2414yes—
909C2×C42C2414yes—
910C2×C42C2414yes—
911C2×C42C2414yes—
912C2×C42C2414yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
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—28no—
998C24—28no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—416no—
1005C24—416no—
1006C24—88no—
1007C24—88no—
1008C24—88no—
1009C24—88no—
1010C24—88no—
1011C24C2×#4114yes—
1012C24H(5,𝔽2)14yes—
1013C24C2512yes—
1014C24C2512yes—
1015C24C2512yes—
1016C24C2512yes—
1017C24C2512yes—
1018C24C2512yes—
1019C24C2512yes—
1020C24C2511yescharacteristic
1021C2×Q8—44no—
1022C2×Q8—44no—
1023C2×Q8—44no—
1024C2×Q8—88no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—416no—
1046C2×D4—416no—
1047C2×D4—416no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
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—416no—
1083C2×D4—88no—
1084C2×D4—88no—
1085C2×D4—88no—
1086C2×D4—88no—
1087C2×D4—88no—
1088C2×D4—88no—
1089C2×D4—88no—
1090C2×D4—88no—
1091C2×D4—88no—
1092C2×D4—88no—
1093C2×D4—88no—
1094C2×D4—88no—
1095C2×D4—88no—
1096C2×D4—88no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
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—28no—
1165C22×C4—28no—
1166C22×C4—28no—
1167C22×C4—28no—
1168C22×C4—28no—
1169C22×C4—28no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—416no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—416no—
1190C22×C4—88no—
1191C22×C4—88no—
1192C22×C4—88no—
1193C22×C4—88no—
1194C22×C4—88no—
1195C22×C4—88no—
1196C22×C4C2×#4114yes—
1197C22×C4C2×#4114yes—
1198C22×C4H(5,𝔽2)14yes—
1199C22×C4H(5,𝔽2)14yes—
1200C22×C4H(5,𝔽2)14yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
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—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4C2×#41116yes—
1308C42—28no—
1309C42—28no—
1310C42—28no—
1311C42—44no—
1312C42—44no—
1313C42—44no—
1314C42—44no—
1315C42—44no—
1316C42—44no—
1317C42—44no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—28no—
1331C23—28no—
1332C23—28no—
1333C23—28no—
1334C23—28no—
1335C23—28no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—416no—
1372C23—416no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—88no—
1417C23—88no—
1418C23—88no—
1419C23—88no—
1420C23—88no—
1421C23—864no—
1422C23C22×#4114yes—
1423C23C22×#4112yes—
1424C23C2×H(5,𝔽2)14yes—
1425C23C2×H(5,𝔽2)12yes—
1426C23C2×H(5,𝔽2)12yes—
1427C23C2×H(5,𝔽2)12yes—
1428C23C2×H(5,𝔽2)12yes—
1429C23#58512yes—
1430C23#58512yes—
1431C23C2611yescharacteristic
1432Q8—88no—
1433D4—416no—
1434D4—416no—
1435D4—416no—
1436D4—416no—
1437D4—88no—
1438D4—88no—
1439D4—88no—
1440D4—88no—
1441D4—88no—
1442D4—88no—
1443D4—88no—
1444D4—88no—
1445D4—88no—
1446D4—88no—
1447D4—88no—
1448D4—88no—
1449D4—88no—
1450D4—88no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—28no—
1462C2×C4—28no—
1463C2×C4—28no—
1464C2×C4—28no—
1465C2×C4—28no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
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—416no—
1524C2×C4—416no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—88no—
1545C2×C4—88no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4C22×#4114yes—
1551C2×C4C22×#4114yes—
1552C2×C4C2×H(5,𝔽2)14yes—
1553C2×C4C2×H(5,𝔽2)14yes—
1554C2×C4C2×H(5,𝔽2)14yes—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—416no—
1567C22—416no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—832no—
1607C22—88no—
1608C22—88no—
1609C22—88no—
1610C22—88no—
1611C22—88no—
1612C22#349414yes—
1613C22#351314yes—
1614C22#351914yes—
1615C22#354014yes—
1616C22#354214yes—
1617C22#354214yes—
1618C22#354314yes—
1619C22C23×#4111yescharacteristic
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C22×H(5,𝔽2)11yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C4—24no—
1627C4—24no—
1628C4—24no—
1629C4—24no—
1630C4—24no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C2—44no—
1651C2—44no—
1652C2—82no—
1653C2—82no—
1654C2—82no—
1655C2—82no—
1656C2—82no—
1657C2#4757218yesdirect product factor
1658C2C2×#354211yescharacteristic
1659C2C2×#354211yescharacteristic
1660C2C2×#354011yescharacteristic
1661C2C2×#354311yescharacteristic
1662C2C2×#351311yescharacteristic
1663C2C2×#351911yescharacteristic
1664C2C2×#349411yescharacteristic
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×#2803C2semidirect
2. C2×#2800C2semidirect
3. C2×#2752C2semidirect
4. C2×#2742C2semidirect
5. C2×#2703C2semidirect
6. C2×#2696C2semidirect
7. C2×#2688C2semidirect
8. C2×#2686C2semidirect
9. C2×#2673C2semidirect
10. C2×#2672C2semidirect
11. C2×#2670C2semidirect
12. C2×#2669C2semidirect
13. #47572C2direct (N × H)
14. C2×#2828C2semidirect
15. C2×#2610C2semidirect
16. C2×#2596C2semidirect
17. C2×#2539C2semidirect
18. C2×#2534C2semidirect
19. C2×#2526C2semidirect
20. C2×#2470C2semidirect
21. C2×#2470C2semidirect
22. C2×#2414C2semidirect
23. C2×#2414C2semidirect
24. C2×#2457C2semidirect
25. C2×#2445C2semidirect
26. C2×#2461C2semidirect
27. C2×#2412C2semidirect
28. C2×#2456C2semidirect
29. C2×#2424C2semidirect
30. C2×#2324C2semidirect
31. C2×#2321C2semidirect
32. C2×#2319C2semidirect
40. C22×#123C22semidirect
41. C22×C22⋊Q8C22semidirect
47. C22×#121C22semidirect
55. C22×C4×D4C22semidirect
56. C22×#117C22semidirect
57. C22×#117C22semidirect
60. #2828C22semidirect
61. #2803C22semidirect
62. #2800C22semidirect
63. #2752C22semidirect
64. #2742C22semidirect
65. #2703C22semidirect
66. #2696C22semidirect
67. #2688C22semidirect
68. #2686C22semidirect
69. #2673C22semidirect
70. #2672C22semidirect
71. #2670C22semidirect
72. #2669C22semidirect
73. #2610C22semidirect
74. #2596C22semidirect
75. #2539C22semidirect
76. #2534C22semidirect
77. #2526C22semidirect
78. #2470C22semidirect
79. #2470C22semidirect
80. #2461C22semidirect
81. #2457C22semidirect
82. #2456C22semidirect
83. #2445C22semidirect
84. #2424C22semidirect
85. #2414C22semidirect
86. #2414C22semidirect
87. #2412C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
103. C2×#396C22semidirect
104. C2×#395C22semidirect
105. C2×#395C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
123. C2×#393C22semidirect
134. C2×#392C22semidirect
135. C2×#392C22semidirect
136. #2324C22semidirect
137. #2321C22semidirect
138. #2319C22semidirect
148. C2×#390C22semidirect
149. C2×#390C22semidirect
150. C2×#390C22semidirect
151. C2×#389C22semidirect
152. C2×#389C22semidirect
153. C2×#389C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
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×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
207. C2×#381C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
218. C2×#376C22semidirect
262. C2×#123C23semidirect
264. C2×C22⋊Q8C23semidirect
276. C2×#121C23semidirect
292. C2×C4×D4C23semidirect
295. C2×#117C23semidirect
296. C2×#117C23semidirect
394. #400C23semidirect
395. #400C23semidirect
396. #400C23semidirect
397. #400C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
409. #396C23semidirect
410. #395C23semidirect
411. #395C23semidirect
422. #394C23semidirect
423. #394C23semidirect
424. #394C23semidirect
425. #394C23semidirect
426. #394C23semidirect
427. #394C23semidirect
429. #393C23semidirect
440. #392C23semidirect
441. #392C23semidirect
451. #390C23semidirect
452. #390C23semidirect
453. #390C23semidirect
454. #389C23semidirect
455. #389C23semidirect
456. #389C23semidirect
457. #389C23semidirect
458. #389C23semidirect
459. #389C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #388C23semidirect
474. #388C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #387C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
486. #387C23semidirect
487. #387C23semidirect
499. #386C23semidirect
500. #386C23semidirect
501. #386C23semidirect
502. #386C23semidirect
506. #385C23semidirect
507. #385C23semidirect
510. #381C23semidirect
514. #380C23semidirect
515. #380C23semidirect
517. C4×C4⋊C4C23semidirect
518. C4×C4⋊C4C23semidirect
521. #376C23semidirect
1657. C2#47572direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28032
C2×#28002
C2×#27522
C2×#27422
C2×#27032
C2×#26962
C2×#26882
C2×#26862
C2×#26732
C2×#26722
C2×#26702
C2×#26692
#475722
C2×#28282
C2×#26102
C2×#25962
C2×#25392
C2×#25342
C2×#25262
C2×#24702
C2×#24142
C2×#24572
C2×#24452
C2×#24612
C2×#24122
C2×#24562
C2×#24242
C2×#23242
C2×#23212
C2×#23192