Finite Group Databasebeta

← #155294

Subgroups — #155294

Order 512.

4102 conjugacy classes of subgroups.

The subgroup lattice has 2050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#385C211yesmaximal, characteristic
2C2×#1442C211yesmaximal, characteristic, complemented
3C2×#1440C211yesmaximal, characteristic
4C2×#1440C211yesmaximal, characteristic
5C2×#1437C211yesmaximal, characteristic
6C2×#1436C211yesmaximal, characteristic, complemented
7C2×#1436C211yesmaximal, characteristic, complemented
8C2×C22⋊#95C211yesmaximal, characteristic
9C2×C22⋊#95C211yesmaximal, characteristic
10#7557C211yesmaximal, characteristic, complemented
11#7556C211yesmaximal, characteristic, complemented
12#7556C211yesmaximal, characteristic, complemented
13#7556C211yesmaximal, characteristic, complemented
14#7556C211yesmaximal, characteristic, complemented
15#7555C211yesmaximal, characteristic
16C25×C4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C42C2211yescharacteristic
26C2×#385—24no—
27C2×#385—24no—
28C2×#385—24no—
29C22×#95C2211yescharacteristic
30C22×#95C2211yescharacteristic
31C22×#95C2211yescharacteristic
32C22×#95C2211yescharacteristic
33C22×#95C2211yescharacteristic
34C22×#95C2211yescharacteristic
35C22×#95C2211yescharacteristic
36C22×#95C2211yescharacteristic
37C22×#95C2211yescharacteristic
38C22×#95C2211yescharacteristic
39C22×#95C2211yescharacteristic
40C22×#95C2211yescharacteristic
41C22×#95C2211yescharacteristic
42C22×#95C2211yescharacteristic
43C22×#95C2211yescharacteristic
44C22×#95C2211yescharacteristic
45C22×#95C2211yescharacteristic
46C22×#95C2211yescharacteristic
47C22×#95C2211yescharacteristic
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50C22×#95C2211yescharacteristic
51C22×#95C2211yescharacteristic
52C22×#95C2211yescharacteristic
53C22×#95C2211yescharacteristic
54#1442—24no—
55#1440—24no—
56#1440C418yescomplemented
57#1437—24no—
58#1436—24no—
59#1436—24no—
60C22⋊#95—24no—
61C22⋊#95—24no—
62C26C2311yescharacteristic
63C24×C4—22no—
64C24×C4—22no—
65C24×C4—22no—
66C24×C4—22no—
67C24×C4—22no—
68C24×C4—22no—
69C24×C4—22no—
70C24×C4—22no—
71C24×C4—22no—
72C24×C4—41no—
73C24×C4—41no—
74C24×C4—41no—
75C24×C4—41no—
76C24×C4—41no—
77C24×C4—41no—
78C24×C4C2311yescharacteristic
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C22×C4⋊C4—22no—
93C22×C4⋊C4—22no—
94C22×C4⋊C4—22no—
95C22×C4⋊C4—22no—
96C22×C4⋊C4—22no—
97C22×C4⋊C4—22no—
98C22×C4⋊C4—22no—
99C22×C4⋊C4—22no—
100C22×C4⋊C4—41no—
101C22×C4⋊C4—41no—
102C22×C4⋊C4—41no—
103C22×C4⋊C4—41no—
104C22×C4⋊C4D414yes—
105C22×C4⋊C4D414yes—
106C22×C22⋊C4—22no—
107C22×C22⋊C4—22no—
108C22×C22⋊C4—22no—
109C22×C22⋊C4—22no—
110C22×C22⋊C4—22no—
111C22×C22⋊C4—22no—
112C22×C22⋊C4—22no—
113C22×C22⋊C4—22no—
114C22×C22⋊C4—22no—
115C22×C22⋊C4—22no—
116C22×C22⋊C4—22no—
117C22×C22⋊C4—22no—
118C22×C22⋊C4—22no—
119C22×C22⋊C4—22no—
120C22×C22⋊C4—22no—
121C22×C22⋊C4—22no—
122C22×C22⋊C4—22no—
123C22×C22⋊C4—22no—
124C22×C22⋊C4—22no—
125C22×C22⋊C4—22no—
126C22×C22⋊C4—22no—
127C22×C22⋊C4—22no—
128C22×C22⋊C4—22no—
129C22×C22⋊C4—22no—
130C22×C22⋊C4—22no—
131C22×C22⋊C4—22no—
132C22×C22⋊C4—22no—
133C22×C22⋊C4—22no—
134C22×C22⋊C4—22no—
135C22×C22⋊C4—41no—
136C22×C22⋊C4—41no—
137C22×C22⋊C4—41no—
138C22×C22⋊C4—41no—
139C22×C22⋊C4—41no—
140C22×C22⋊C4—41no—
141C22×C22⋊C4—41no—
142C22×C22⋊C4—41no—
143C22×C22⋊C4C2×C414yes—
144C22×C22⋊C4C2×C414yes—
145C22×C22⋊C4C2×C414yes—
146C22×C22⋊C4D414yes—
147C22×C22⋊C4D414yes—
148C22×C42—22no—
149C22×C42—22no—
150C22×C42—22no—
151C22×C42—41no—
152C22×C42—41no—
153C22×C42—41no—
154C22×C42—41no—
155#385—232no—
156C2×#95—22no—
157C2×#95—22no—
158C2×#95—22no—
159C2×#95—22no—
160C2×#95—22no—
161C2×#95—22no—
162C2×#95—22no—
163C2×#95—22no—
164C2×#95—22no—
165C2×#95—22no—
166C2×#95—22no—
167C2×#95—22no—
168C2×#95—22no—
169C2×#95—22no—
170C2×#95—22no—
171C2×#95—22no—
172C2×#95—22no—
173C2×#95—22no—
174C2×#95—22no—
175C2×#95—22no—
176C2×#95—22no—
177C2×#95—22no—
178C2×#95—22no—
179C2×#95—22no—
180C2×#95—22no—
181C2×#95—22no—
182C2×#95—22no—
183C2×#95—22no—
184C2×#95—22no—
185C2×#95—22no—
186C2×#95—22no—
187C2×#95—22no—
188C2×#95—22no—
189C2×#95—22no—
190C2×#95—22no—
191C2×#95—22no—
192C2×#95—22no—
193C2×#95—22no—
194C2×#95—22no—
195C2×#95—22no—
196C2×#95—22no—
197C2×#95—22no—
198C2×#95—22no—
199C2×#95—22no—
200C2×#95—22no—
201C2×#95—22no—
202C2×#95—22no—
203C2×#95—22no—
204C2×#95—22no—
205C2×#95—22no—
206C2×#95—41no—
207C2×#95—41no—
208C2×#95—41no—
209C2×#95—41no—
210C2×#95—41no—
211C2×#95—41no—
212C2×#95—41no—
213C2×#95—41no—
214C2×#95—41no—
215C2×#95—41no—
216C2×#95—41no—
217C2×#95—41no—
218C2×#95—41no—
219C2×#95—41no—
220C2×#95—41no—
221C2×#95—41no—
222C2×#95—41no—
223C2×#95—41no—
224C2×#95—41no—
225C2×#95—41no—
226C2×#95C2×C414yescomplemented
227C2×#95C2×C414yescomplemented
228C2×#95C2×C414yescomplemented
229C2×#95C2×C414yescomplemented
230C2×#95D414yes—
231C25—21no—
232C25—21no—
233C25—21no—
234C25—21no—
235C25—21no—
236C25—21no—
237C25—21no—
238C25—21no—
239C25—21no—
240C25—21no—
241C25—21no—
242C25—21no—
243C25—21no—
244C25—21no—
245C25—21no—
246C25—21no—
247C25—21no—
248C25—21no—
249C25—21no—
250C25—21no—
251C25—21no—
252C25—21no—
253C25—21no—
254C25—21no—
255C25C22×C412yes—
256C25C2×D412yes—
257C25C2×D412yes—
258C25#4112yes—
259C25#4112yes—
260C25#4112yes—
261C25#4112yes—
262C25C2411yescharacteristic
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C23×C4—21no—
291C23×C4—21no—
292C23×C4—21no—
293C23×C4—21no—
294C23×C4—21no—
295C23×C4—21no—
296C23×C4—21no—
297C23×C4—21no—
298C23×C4—21no—
299C23×C4—21no—
300C23×C4—21no—
301C23×C4—21no—
302C23×C4—21no—
303C23×C4—21no—
304C23×C4—21no—
305C23×C4—21no—
306C23×C4—21no—
307C23×C4—21no—
308C23×C4—21no—
309C23×C4—21no—
310C23×C4—21no—
311C23×C4—21no—
312C23×C4—21no—
313C23×C4—21no—
314C23×C4—21no—
315C23×C4—21no—
316C23×C4—21no—
317C23×C4—21no—
318C23×C4—21no—
319C23×C4—21no—
320C23×C4—21no—
321C23×C4—21no—
322C23×C4—21no—
323C23×C4—21no—
324C23×C4—21no—
325C23×C4—21no—
326C23×C4—21no—
327C23×C4—21no—
328C23×C4—21no—
329C23×C4—21no—
330C23×C4—21no—
331C23×C4—21no—
332C23×C4—21no—
333C23×C4—21no—
334C23×C4—21no—
335C23×C4—21no—
336C23×C4—21no—
337C23×C4—21no—
338C23×C4—21no—
339C23×C4—21no—
340C23×C4—21no—
341C23×C4—21no—
342C23×C4—21no—
343C23×C4—21no—
344C23×C4—21no—
345C23×C4—21no—
346C23×C4—21no—
347C23×C4—28no—
348C23×C4—28no—
349C23×C4—28no—
350C23×C4—21no—
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—21no—
356C23×C4—21no—
357C23×C4—21no—
358C23×C4—21no—
359C23×C4—21no—
360C23×C4—21no—
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—21no—
364C23×C4—21no—
365C23×C4—21no—
366C23×C4—21no—
367C23×C4—21no—
368C23×C4—21no—
369C23×C4—21no—
370C23×C4—21no—
371C23×C4—21no—
372C23×C4—21no—
373C23×C4—21no—
374C23×C4—21no—
375C23×C4—21no—
376C23×C4—21no—
377C23×C4—21no—
378C23×C4—21no—
379C23×C4—21no—
380C23×C4—21no—
381C23×C4—21no—
382C23×C4—21no—
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—21no—
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—21no—
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4—21no—
437C23×C4—21no—
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—21no—
442C23×C4—21no—
443C23×C4—21no—
444C23×C4—21no—
445C23×C4—21no—
446C23×C4—21no—
447C23×C4—21no—
448C23×C4—44no—
449C23×C4—44no—
450C23×C4—44no—
451C23×C4—44no—
452C23×C4—44no—
453C23×C4—44no—
454C23×C4—44no—
455C23×C4—44no—
456C23×C4—44no—
457C23×C4—44no—
458C23×C4—44no—
459C23×C4—44no—
460C23×C4—44no—
461C23×C4—44no—
462C23×C4—44no—
463C23×C4—44no—
464C23×C4—44no—
465C23×C4—44no—
466C23×C4—44no—
467C23×C4—44no—
468C23×C4—44no—
469C23×C4—44no—
470C23×C4—44no—
471C23×C4—44no—
472C23×C4—44no—
473C23×C4—44no—
474C23×C4—44no—
475C23×C4—44no—
476C23×C4—44no—
477C23×C4—44no—
478C23×C4—44no—
479C23×C4—44no—
480C23×C4C22×C412yes—
481C23×C4C22×C412yes—
482C23×C4C22×C412yes—
483C23×C4C22×C412yes—
484C23×C4C22×C412yes—
485C23×C4C22×C412yes—
486C23×C4C2×D412yes—
487C23×C4C2×D412yes—
488C23×C4C2×D412yes—
489C23×C4C2×D412yes—
490C23×C4C2×D412yes—
491C23×C4C2×D412yes—
492C23×C4C2×D412yes—
493C23×C4C2×D412yes—
494C23×C4C2×D412yes—
495C23×C4C2×D412yes—
496C23×C4C2×D412yes—
497C23×C4C2×D412yes—
498C23×C4C2×D412yes—
499C23×C4#4112yes—
500C23×C4#4112yes—
501C23×C4#4112yes—
502C23×C4#4112yes—
503C23×C4#4112yes—
504C23×C4#4112yes—
505C23×C4#4112yes—
506C23×C4#4112yes—
507C23×C4#4112yes—
508C2×C4⋊C4—28no—
509C2×C4⋊C4—28no—
510C2×C4⋊C4—28no—
511C2×C4⋊C4—28no—
512C2×C4⋊C4—44no—
513C2×C4⋊C4—44no—
514C2×C4⋊C4—44no—
515C2×C4⋊C4—44no—
516C2×C4⋊C4—44no—
517C2×C4⋊C4—44no—
518C2×C4⋊C4—44no—
519C2×C4⋊C4—44no—
520C2×C4⋊C4—44no—
521C2×C4⋊C4—44no—
522C2×C22⋊C4—28no—
523C2×C22⋊C4—28no—
524C2×C22⋊C4—28no—
525C2×C22⋊C4—28no—
526C2×C22⋊C4—28no—
527C2×C22⋊C4—28no—
528C2×C22⋊C4—28no—
529C2×C22⋊C4—28no—
530C2×C22⋊C4—28no—
531C2×C22⋊C4—28no—
532C2×C22⋊C4—28no—
533C2×C22⋊C4—28no—
534C2×C22⋊C4—28no—
535C2×C22⋊C4—28no—
536C2×C22⋊C4—28no—
537C2×C22⋊C4—28no—
538C2×C22⋊C4—28no—
539C2×C22⋊C4—44no—
540C2×C22⋊C4—44no—
541C2×C22⋊C4—44no—
542C2×C22⋊C4—44no—
543C2×C22⋊C4—44no—
544C2×C22⋊C4—44no—
545C2×C22⋊C4—44no—
546C2×C22⋊C4—44no—
547C2×C22⋊C4—44no—
548C2×C22⋊C4—44no—
549C2×C22⋊C4—44no—
550C2×C22⋊C4—44no—
551C2×C22⋊C4—44no—
552C2×C22⋊C4—44no—
553C2×C22⋊C4—44no—
554C2×C22⋊C4—44no—
555C2×C22⋊C4—44no—
556C2×C22⋊C4—44no—
557C2×C22⋊C4—44no—
558C2×C22⋊C4—44no—
559C2×C22⋊C4—44no—
560C2×C22⋊C4—44no—
561C2×C22⋊C4—44no—
562C2×C22⋊C4—44no—
563C2×C22⋊C4—44no—
564C2×C42—44no—
565C2×C42—44no—
566C2×C42—44no—
567C2×C42—44no—
568C2×C42—44no—
569C2×C42—44no—
570C2×C42—44no—
571#95—28no—
572#95—28no—
573#95—28no—
574#95—28no—
575#95—28no—
576#95—28no—
577#95—28no—
578#95—44no—
579#95—44no—
580#95—44no—
581#95—44no—
582#95—44no—
583#95—44no—
584#95—44no—
585#95—44no—
586#95—44no—
587#95—44no—
588#95—44no—
589#95—44no—
590#95—44no—
591#95—44no—
592#95—44no—
593#95—44no—
594#95—44no—
595#95—44no—
596C24—22no—
597C24—22no—
598C24—22no—
599C24—22no—
600C24—22no—
601C24—22no—
602C24—22no—
603C24—22no—
604C24—22no—
605C24—22no—
606C24—22no—
607C24—22no—
608C24—22no—
609C24—22no—
610C24—22no—
611C24—22no—
612C24—22no—
613C24—22no—
614C24—22no—
615C24—22no—
616C24—22no—
617C24—22no—
618C24—22no—
619C24—22no—
620C24—22no—
621C24—22no—
622C24—22no—
623C24—22no—
624C24—22no—
625C24—22no—
626C24—22no—
627C24—22no—
628C24—22no—
629C24—22no—
630C24—22no—
631C24—22no—
632C24—22no—
633C24—22no—
634C24—22no—
635C24—22no—
636C24—22no—
637C24—22no—
638C24—22no—
639C24—22no—
640C24—22no—
641C24—22no—
642C24—22no—
643C24—22no—
644C24—22no—
645C24—22no—
646C24—22no—
647C24—22no—
648C24—22no—
649C24—22no—
650C24—22no—
651C24—22no—
652C24—22no—
653C24—22no—
654C24—22no—
655C24—22no—
656C24—22no—
657C24—22no—
658C24—22no—
659C24—22no—
660C24—22no—
661C24—22no—
662C24—22no—
663C24—22no—
664C24—22no—
665C24—22no—
666C24—22no—
667C24—22no—
668C24—22no—
669C24—22no—
670C24—22no—
671C24—22no—
672C24—22no—
673C24—22no—
674C24—22no—
675C24—22no—
676C24—22no—
677C24—22no—
678C24—22no—
679C24—22no—
680C24—41no—
681C24—41no—
682C24—41no—
683C24—41no—
684C24—41no—
685C24—41no—
686C24—41no—
687C24—41no—
688C24—41no—
689C24—41no—
690C24—41no—
691C24—41no—
692C24—41no—
693C24—41no—
694C24—41no—
695C24—41no—
696C24—41no—
697C24—41no—
698C24—41no—
699C24—41no—
700C24—41no—
701C24—41no—
702C24—41no—
703C24—41no—
704C24—41no—
705C24—41no—
706C24—41no—
707C24—41no—
708C24—41no—
709C24—41no—
710C24—41no—
711C24—41no—
712C24—41no—
713C24—41no—
714C24—41no—
715C24—41no—
716C24—41no—
717C24—41no—
718C24—41no—
719C24—41no—
720C24—41no—
721C24—41no—
722C24—41no—
723C24—41no—
724C24—41no—
725C24—41no—
726C24—41no—
727C24—41no—
728C24—41no—
729C24—41no—
730C24—41no—
731C24—41no—
732C24—41no—
733C24—41no—
734C24—41no—
735C24—41no—
736C24—41no—
737C24—41no—
738C24—41no—
739C24—41no—
740C24—41no—
741C24—41no—
742C24—41no—
743C24—41no—
744C24#11714yes—
745C24C4×D414yes—
746C24C4×D414yes—
747C24#12114yes—
748C24#12314yes—
749C24#12414yes—
750C24#12614yes—
751C24C23×C411yescharacteristic
752C24C22×D411yescharacteristic
753C24C22×D411yescharacteristic
754C24C22×D411yescharacteristic
755C24C22×D411yescharacteristic
756C24C22×D411yescharacteristic
757C24C2×#4111yescharacteristic
758C24C2×#4111yescharacteristic
759C24C2×#4111yescharacteristic
760C24C2×#4111yescharacteristic
761C24C2×#4111yescharacteristic
762C24C2×#4111yescharacteristic
763C24C2×#4111yescharacteristic
764C24C2×#4111yescharacteristic
765C24C2×#4111yescharacteristic
766C24C2×#4111yescharacteristic
767C24C2×#4111yescharacteristic
768C24C2×#4111yescharacteristic
769C24C2×#4111yescharacteristic
770C24H(5,𝔽2)11yescharacteristic
771C24H(5,𝔽2)11yescharacteristic
772C24H(5,𝔽2)11yescharacteristic
773C24H(5,𝔽2)11yescharacteristic
774C24H(5,𝔽2)11yescharacteristic
775C24H(5,𝔽2)11yescharacteristic
776C24H(5,𝔽2)11yescharacteristic
777C242−1+411yescharacteristic
778C242−1+411yescharacteristic
779C242−1+411yescharacteristic
780C242−1+411yescharacteristic
781C242−1+411yescharacteristic
782C22×C4—22no—
783C22×C4—22no—
784C22×C4—22no—
785C22×C4—22no—
786C22×C4—22no—
787C22×C4—22no—
788C22×C4—22no—
789C22×C4—22no—
790C22×C4—22no—
791C22×C4—22no—
792C22×C4—22no—
793C22×C4—22no—
794C22×C4—22no—
795C22×C4—22no—
796C22×C4—22no—
797C22×C4—22no—
798C22×C4—22no—
799C22×C4—22no—
800C22×C4—22no—
801C22×C4—22no—
802C22×C4—22no—
803C22×C4—22no—
804C22×C4—22no—
805C22×C4—22no—
806C22×C4—22no—
807C22×C4—22no—
808C22×C4—22no—
809C22×C4—22no—
810C22×C4—22no—
811C22×C4—22no—
812C22×C4—22no—
813C22×C4—22no—
814C22×C4—22no—
815C22×C4—22no—
816C22×C4—22no—
817C22×C4—22no—
818C22×C4—22no—
819C22×C4—22no—
820C22×C4—22no—
821C22×C4—22no—
822C22×C4—22no—
823C22×C4—22no—
824C22×C4—22no—
825C22×C4—22no—
826C22×C4—22no—
827C22×C4—22no—
828C22×C4—22no—
829C22×C4—22no—
830C22×C4—22no—
831C22×C4—22no—
832C22×C4—22no—
833C22×C4—22no—
834C22×C4—22no—
835C22×C4—22no—
836C22×C4—22no—
837C22×C4—22no—
838C22×C4—22no—
839C22×C4—22no—
840C22×C4—22no—
841C22×C4—22no—
842C22×C4—22no—
843C22×C4—22no—
844C22×C4—22no—
845C22×C4—22no—
846C22×C4—22no—
847C22×C4—22no—
848C22×C4—22no—
849C22×C4—22no—
850C22×C4—22no—
851C22×C4—22no—
852C22×C4—22no—
853C22×C4—22no—
854C22×C4—22no—
855C22×C4—22no—
856C22×C4—22no—
857C22×C4—22no—
858C22×C4—22no—
859C22×C4—22no—
860C22×C4—22no—
861C22×C4—22no—
862C22×C4—22no—
863C22×C4—22no—
864C22×C4—22no—
865C22×C4—22no—
866C22×C4—22no—
867C22×C4—22no—
868C22×C4—22no—
869C22×C4—22no—
870C22×C4—22no—
871C22×C4—22no—
872C22×C4—22no—
873C22×C4—22no—
874C22×C4—22no—
875C22×C4—22no—
876C22×C4—22no—
877C22×C4—22no—
878C22×C4—22no—
879C22×C4—22no—
880C22×C4—22no—
881C22×C4—22no—
882C22×C4—22no—
883C22×C4—22no—
884C22×C4—22no—
885C22×C4—22no—
886C22×C4—22no—
887C22×C4—22no—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—22no—
891C22×C4—22no—
892C22×C4—22no—
893C22×C4—22no—
894C22×C4—22no—
895C22×C4—22no—
896C22×C4—22no—
897C22×C4—22no—
898C22×C4—22no—
899C22×C4—22no—
900C22×C4—22no—
901C22×C4—22no—
902C22×C4—22no—
903C22×C4—22no—
904C22×C4—22no—
905C22×C4—22no—
906C22×C4—22no—
907C22×C4—22no—
908C22×C4—22no—
909C22×C4—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—22no—
914C22×C4—22no—
915C22×C4—22no—
916C22×C4—22no—
917C22×C4—22no—
918C22×C4—22no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
929C22×C4—22no—
930C22×C4—22no—
931C22×C4—22no—
932C22×C4—22no—
933C22×C4—22no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—22no—
950C22×C4—22no—
951C22×C4—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—416no—
958C22×C4—416no—
959C22×C4—416no—
960C22×C4—416no—
961C22×C4—416no—
962C22×C4—416no—
963C22×C4—416no—
964C22×C4—416no—
965C22×C4—416no—
966C22×C4—416no—
967C22×C4—416no—
968C22×C4—416no—
969C22×C4—416no—
970C22×C4—416no—
971C22×C4—416no—
972C22×C4—41no—
973C22×C4—41no—
974C22×C4—41no—
975C22×C4—41no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—41no—
980C22×C4—41no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
987C22×C4—41no—
988C22×C4—41no—
989C22×C4—41no—
990C22×C4—41no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4C4×D414yes—
1281C22×C4C4×D414yes—
1282C22×C4C4×D414yes—
1283C22×C4#12014yes—
1284C22×C4#12114yes—
1285C22×C4#12314yes—
1286C22×C4#12314yes—
1287C4⋊C4—416no—
1288C4⋊C4—416no—
1289C22⋊C4—232no—
1290C22⋊C4—416no—
1291C22⋊C4—416no—
1292C22⋊C4—416no—
1293C22⋊C4—416no—
1294C22⋊C4—416no—
1295C42—416no—
1296C23—24no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
1301C23—24no—
1302C23—24no—
1303C23—24no—
1304C23—24no—
1305C23—24no—
1306C23—24no—
1307C23—24no—
1308C23—24no—
1309C23—24no—
1310C23—24no—
1311C23—24no—
1312C23—24no—
1313C23—24no—
1314C23—24no—
1315C23—24no—
1316C23—24no—
1317C23—24no—
1318C23—24no—
1319C23—24no—
1320C23—24no—
1321C23—24no—
1322C23—24no—
1323C23—24no—
1324C23—24no—
1325C23—24no—
1326C23—24no—
1327C23—24no—
1328C23—24no—
1329C23—24no—
1330C23—24no—
1331C23—24no—
1332C23—24no—
1333C23—24no—
1334C23—24no—
1335C23—24no—
1336C23—24no—
1337C23—24no—
1338C23—42no—
1339C23—42no—
1340C23—42no—
1341C23—42no—
1342C23—42no—
1343C23—42no—
1344C23—42no—
1345C23—42no—
1346C23—42no—
1347C23—42no—
1348C23—42no—
1349C23—42no—
1350C23—42no—
1351C23—42no—
1352C23—42no—
1353C23—42no—
1354C23—42no—
1355C23—42no—
1356C23—42no—
1357C23—42no—
1358C23—42no—
1359C23—42no—
1360C23—42no—
1361C23—42no—
1362C23—42no—
1363C23—42no—
1364C23—42no—
1365C23—42no—
1366C23—42no—
1367C23—42no—
1368C23—42no—
1369C23—42no—
1370C23—42no—
1371C23—42no—
1372C23—42no—
1373C23—42no—
1374C23—42no—
1375C23—42no—
1376C23—42no—
1377C23—42no—
1378C23—42no—
1379C23—42no—
1380C23—42no—
1381C23—42no—
1382C23—42no—
1383C23—42no—
1384C23—42no—
1385C23—42no—
1386C23—42no—
1387C23—42no—
1388C23—42no—
1389C23—42no—
1390C23—42no—
1391C23—42no—
1392C23—42no—
1393C23—42no—
1394C23—42no—
1395C23—42no—
1396C23—42no—
1397C23—42no—
1398C23—42no—
1399C23—42no—
1400C23—42no—
1401C23—42no—
1402C23—42no—
1403C23—42no—
1404C23—42no—
1405C23—42no—
1406C23—42no—
1407C23—42no—
1408C23—42no—
1409C23—42no—
1410C23—42no—
1411C23—42no—
1412C23—42no—
1413C23—42no—
1414C23—42no—
1415C23—42no—
1416C23—42no—
1417C23—42no—
1418C23—42no—
1419C23—42no—
1420C23—42no—
1421C23—42no—
1422C23—42no—
1423C23—42no—
1424C23—42no—
1425C23—42no—
1426C23—42no—
1427C23—42no—
1428C23—42no—
1429C23—42no—
1430C23—42no—
1431C23—42no—
1432C23—42no—
1433C23—42no—
1434C23—42no—
1435C23—42no—
1436C23—42no—
1437C23—42no—
1438C23—42no—
1439C23—42no—
1440C23—42no—
1441C23—42no—
1442C23—42no—
1443C23—42no—
1444C23—42no—
1445C23—42no—
1446C23—42no—
1447C23—42no—
1448C23—42no—
1449C23—42no—
1450C23#38818yes—
1451C23C2×#11711yescharacteristic
1452C23C2×C4×D411yescharacteristic
1453C23C2×C4×D411yescharacteristic
1454C23C2×C4×D411yescharacteristic
1455C23C2×C4×D411yescharacteristic
1456C23C2×C4×D411yescharacteristic
1457C23C4×#4111yescharacteristic
1458C23C4×#4111yescharacteristic
1459C23C4×#4111yescharacteristic
1460C23#51811yescharacteristic
1461C23#52011yescharacteristic
1462C23#52011yescharacteristic
1463C23#52011yescharacteristic
1464C23#52011yescharacteristic
1465C23#52011yescharacteristic
1466C23C2×#12011yescharacteristic
1467C23C2×#12111yescharacteristic
1468C23C2×#12111yescharacteristic
1469C23C2×#12311yescharacteristic
1470C23C2×#12311yescharacteristic
1471C23C2×#12311yescharacteristic
1472C23#52511yescharacteristic
1473C23#52511yescharacteristic
1474C23#52511yescharacteristic
1475C23#52511yescharacteristic
1476C23#52511yescharacteristic
1477C23#52511yescharacteristic
1478C23#52511yescharacteristic
1479C23#52511yescharacteristic
1480C23C2×#12411yescharacteristic
1481C23C2×#12611yescharacteristic
1482C23#52911yescharacteristic
1483C23#52911yescharacteristic
1484C23#52911yescharacteristic
1485C23#52911yescharacteristic
1486C23#52911yescharacteristic
1487C23#52911yescharacteristic
1488C23#52911yescharacteristic
1489C23#53211yescharacteristic
1490C23#53411yescharacteristic
1491C23#53411yescharacteristic
1492C23#53411yescharacteristic
1493C23#53411yescharacteristic
1494C23#53411yescharacteristic
1495C23#53611yescharacteristic
1496C23#53611yescharacteristic
1497C23#53611yescharacteristic
1498C23#53611yescharacteristic
1499C23#53711yescharacteristic
1500C23#53811yescharacteristic
1501C23#53811yescharacteristic
1502C23#53811yescharacteristic
1503C23#53811yescharacteristic
1504C23#53811yescharacteristic
1505C23#53811yescharacteristic
1506C23#53911yescharacteristic
1507C23#53911yescharacteristic
1508C23#53911yescharacteristic
1509C23#53911yescharacteristic
1510C23#53911yescharacteristic
1511C23#53911yescharacteristic
1512C23#53911yescharacteristic
1513C23#53911yescharacteristic
1514C23#53911yescharacteristic
1515C23#53911yescharacteristic
1516C23#53911yescharacteristic
1517C23#53911yescharacteristic
1518C23#53911yescharacteristic
1519C23#53911yescharacteristic
1520C23#54011yescharacteristic
1521C23#54111yescharacteristic
1522C23#54111yescharacteristic
1523C23#54211yescharacteristic
1524C23#54211yescharacteristic
1525C23#54211yescharacteristic
1526C23D4211yescharacteristic
1527C23D4211yescharacteristic
1528C23D4211yescharacteristic
1529C23D4211yescharacteristic
1530C23D4211yescharacteristic
1531C23#54611yescharacteristic
1532C23#54611yescharacteristic
1533C23#54611yescharacteristic
1534C23#54611yescharacteristic
1535C23#54611yescharacteristic
1536C23#54611yescharacteristic
1537C23#54611yescharacteristic
1538C23#54611yescharacteristic
1539C23#54611yescharacteristic
1540C23#54611yescharacteristic
1541C23#54611yescharacteristic
1542C23#54611yescharacteristic
1543C23#54611yescharacteristic
1544C23#54711yescharacteristic
1545C23#54711yescharacteristic
1546C23#54711yescharacteristic
1547C23#54711yescharacteristic
1548C23#54711yescharacteristic
1549C23#54711yescharacteristic
1550C23#54711yescharacteristic
1551C23#54811yescharacteristic
1552C23#54811yescharacteristic
1553C23#54811yescharacteristic
1554C23#54811yescharacteristic
1555C23#54811yescharacteristic
1556C23#54811yescharacteristic
1557C23#54811yescharacteristic
1558C23#54811yescharacteristic
1559C23#54811yescharacteristic
1560C23#55011yescharacteristic
1561C23#55111yescharacteristic
1562C23#55111yescharacteristic
1563C23#55111yescharacteristic
1564C23#55111yescharacteristic
1565C23#55111yescharacteristic
1566C23#55111yescharacteristic
1567C23#55111yescharacteristic
1568C23#55111yescharacteristic
1569C23#55111yescharacteristic
1570C23#55211yescharacteristic
1571C23#55211yescharacteristic
1572C23#55211yescharacteristic
1573C23#55211yescharacteristic
1574C23#55211yescharacteristic
1575C23#55211yescharacteristic
1576C23#55211yescharacteristic
1577C23#55211yescharacteristic
1578C23#55211yescharacteristic
1579C23#55211yescharacteristic
1580C23#55311yescharacteristic
1581C23#55311yescharacteristic
1582C23#55311yescharacteristic
1583C23#55311yescharacteristic
1584C23#55311yescharacteristic
1585C23#55311yescharacteristic
1586C23#55311yescharacteristic
1587C23#55311yescharacteristic
1588C23#55311yescharacteristic
1589C23#55311yescharacteristic
1590C23#55511yescharacteristic
1591C23#55611yescharacteristic
1592C23#55611yescharacteristic
1593C23#55611yescharacteristic
1594C23#55611yescharacteristic
1595C23#55911yescharacteristic
1596C23#55911yescharacteristic
1597C23#55911yescharacteristic
1598C23#56011yescharacteristic
1599C23H(3,𝔽4)11yescharacteristic
1600C23#56211yescharacteristic
1601C23#56211yescharacteristic
1602C23#56311yescharacteristic
1603C23#56311yescharacteristic
1604C23#56311yescharacteristic
1605C23#56311yescharacteristic
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—464no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—42no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—42no—
1692C2×C4—42no—
1693C2×C4—42no—
1694C2×C4—42no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—42no—
1698C2×C4—42no—
1699C2×C4—42no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—42no—
1713C2×C4—42no—
1714C2×C4—42no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—42no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—42no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—81no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—81no—
1788C2×C4—81no—
1789C2×C4—81no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—81no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—81no—
1814C2×C4—81no—
1815C2×C4—81no—
1816C2×C4—81no—
1817C22—28no—
1818C22—28no—
1819C22—28no—
1820C22—44no—
1821C22—44no—
1822C22—44no—
1823C22—44no—
1824C22—44no—
1825C22—44no—
1826C22—44no—
1827C22—44no—
1828C22—44no—
1829C22—44no—
1830C22—44no—
1831C22—44no—
1832C22—44no—
1833C22—44no—
1834C22—44no—
1835C22—44no—
1836C22—44no—
1837C22—44no—
1838C22—44no—
1839C22—44no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—44no—
1844C22—44no—
1845C22—44no—
1846C22—44no—
1847C22—44no—
1848C22C2×#38811yescharacteristic
1849C22#229011yescharacteristic
1850C22C4×#12011yescharacteristic
1851C22C4×#12111yescharacteristic
1852C22C4×#12311yescharacteristic
1853C22C4×#12311yescharacteristic
1854C22#231811yescharacteristic
1855C22#232211yescharacteristic
1856C22#232211yescharacteristic
1857C22#232211yescharacteristic
1858C22#232211yescharacteristic
1859C22#232511yescharacteristic
1860C22#233411yescharacteristic
1861C22#233411yescharacteristic
1862C22#233511yescharacteristic
1863C22#234311yescharacteristic
1864C22#234311yescharacteristic
1865C22#235211yescharacteristic
1866C22#235211yescharacteristic
1867C22#235811yescharacteristic
1868C22#235911yescharacteristic
1869C22#235911yescharacteristic
1870C22#235911yescharacteristic
1871C22#236111yescharacteristic
1872C22#236111yescharacteristic
1873C22#236111yescharacteristic
1874C22#236111yescharacteristic
1875C22#236311yescharacteristic
1876C22#236411yescharacteristic
1877C22#236711yescharacteristic
1878C22#236711yescharacteristic
1879C22#236711yescharacteristic
1880C22#237311yescharacteristic
1881C22#237911yescharacteristic
1882C22#238311yescharacteristic
1883C22#240511yescharacteristic
1884C22#240711yescharacteristic
1885C22#241011yescharacteristic
1886C22#241011yescharacteristic
1887C22#241311yescharacteristic
1888C22#241511yescharacteristic
1889C22#241811yescharacteristic
1890C22#241811yescharacteristic
1891C22#242111yescharacteristic
1892C22#242111yescharacteristic
1893C22#242411yescharacteristic
1894C22#242411yescharacteristic
1895C22#242511yescharacteristic
1896C22#242611yescharacteristic
1897C22#243211yescharacteristic
1898C22#243611yescharacteristic
1899C22#244311yescharacteristic
1900C22#244311yescharacteristic
1901C22#244311yescharacteristic
1902C22#244311yescharacteristic
1903C22#244311yescharacteristic
1904C22#244411yescharacteristic
1905C22#244511yescharacteristic
1906C22#244711yescharacteristic
1907C22#245511yescharacteristic
1908C22#245811yescharacteristic
1909C22#245911yescharacteristic
1910C22#246011yescharacteristic
1911C22#246011yescharacteristic
1912C22#246311yescharacteristic
1913C22#246311yescharacteristic
1914C22#246611yescharacteristic
1915C22#246611yescharacteristic
1916C22#246711yescharacteristic
1917C22#246811yescharacteristic
1918C22#247211yescharacteristic
1919C22#247411yescharacteristic
1920C22#247511yescharacteristic
1921C22#247611yescharacteristic
1922C22#247711yescharacteristic
1923C22#247811yescharacteristic
1924C22#248111yescharacteristic
1925C22#248111yescharacteristic
1926C22#248111yescharacteristic
1927C22#248311yescharacteristic
1928C22#248411yescharacteristic
1929C22#248511yescharacteristic
1930C22#248611yescharacteristic
1931C22#248811yescharacteristic
1932C22#248811yescharacteristic
1933C22#248811yescharacteristic
1934C22#249311yescharacteristic
1935C22#249311yescharacteristic
1936C22#251011yescharacteristic
1937C22#253411yescharacteristic
1938C22#253411yescharacteristic
1939C22#253611yescharacteristic
1940C22#255811yescharacteristic
1941C22#256011yescharacteristic
1942C22#256011yescharacteristic
1943C22#257311yescharacteristic
1944C22#257511yescharacteristic
1945C22#257711yescharacteristic
1946C22#257711yescharacteristic
1947C22#259111yescharacteristic
1948C22#259511yescharacteristic
1949C22#259511yescharacteristic
1950C22#259711yescharacteristic
1951C22#259911yescharacteristic
1952C22#260011yescharacteristic
1953C22#260011yescharacteristic
1954C22#260211yescharacteristic
1955C22#266811yescharacteristic
1956C22#266811yescharacteristic
1957C22#267411yescharacteristic
1958C22#267411yescharacteristic
1959C22#267911yescharacteristic
1960C22#268011yescharacteristic
1961C22#268111yescharacteristic
1962C22#268111yescharacteristic
1963C22#268411yescharacteristic
1964C22#268411yescharacteristic
1965C22#268711yescharacteristic
1966C22#268911yescharacteristic
1967C22#268911yescharacteristic
1968C22#268911yescharacteristic
1969C22#269011yescharacteristic
1970C22#269011yescharacteristic
1971C22#269011yescharacteristic
1972C22#269411yescharacteristic
1973C22#269711yescharacteristic
1974C22#270111yescharacteristic
1975C22#270211yescharacteristic
1976C22#270711yescharacteristic
1977C22#270811yescharacteristic
1978C22#270811yescharacteristic
1979C22#272411yescharacteristic
1980C22#272411yescharacteristic
1981C22#272811yescharacteristic
1982C22#272811yescharacteristic
1983C22#272811yescharacteristic
1984C22#272811yescharacteristic
1985C22#273011yescharacteristic
1986C22#274411yescharacteristic
1987C22#274511yescharacteristic
1988C22#274711yescharacteristic
1989C22#276511yescharacteristic
1990C22#277011yescharacteristic
1991C22#277111yescharacteristic
1992C22#278111yescharacteristic
1993C22#278211yescharacteristic
1994C22#278211yescharacteristic
1995C22#278211yescharacteristic
1996C22#278611yescharacteristic
1997C22#278711yescharacteristic
1998C22#278711yescharacteristic
1999C22#278711yescharacteristic
2000C22#279611yescharacteristic
2001C22#279611yescharacteristic
2002C22#279711yescharacteristic
2003C4—44no—
2004C4—44no—
2005C4—44no—
2006C4—44no—
2007C4—44no—
2008C4—44no—
2009C4—44no—
2010C4—82no—
2011C4—82no—
2012C4—82no—
2013C4—82no—
2014C4—82no—
2015C4—82no—
2016C4—82no—
2017C2—48no—
2018C2#1399211yescharacteristic
2019C2#1401911yescharacteristic
2020C2#1403211yescharacteristic
2021C2#1407011yescharacteristic
2022C2#1414011yescharacteristic
2023C2#1417311yescharacteristic
2024C2#1417711yescharacteristic
2025C2#1418511yescharacteristic
2026C2#1419511yescharacteristic
2027C2#1439311yescharacteristic
2028C2#1443611yescharacteristic
2029C2#1452511yescharacteristic
2030C2#1452611yescharacteristic
2031C2#1452611yescharacteristic
2032C2#1453511yescharacteristic
2033C2#1526611yescharacteristic
2034C2#1527111yescharacteristic
2035C2#1527511yescharacteristic
2036C2#1533911yescharacteristic
2037C2#1534411yescharacteristic
2038C2#1539811yescharacteristic
2039C2#1540511yescharacteristic
2040C2#1546511yescharacteristic
2041C2#1552511yescharacteristic
2042C2#1552911yescharacteristic
2043C2#1556011yescharacteristic
2044C2#1557911yescharacteristic
2045C2#1595611yescharacteristic
2046C2#1596011yescharacteristic
2047C2#1596611yescharacteristic
2048C2#1600611yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC25C24
commutatorC24C23×C4
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#1442C2semidirect
6. C2×#1436C2semidirect
7. C2×#1436C2semidirect
10. #7557C2semidirect
11. #7556C2semidirect
12. #7556C2semidirect
13. #7556C2semidirect
14. #7556C2semidirect
56. #1440C4semidirect
226. C2×#95C2×C4semidirect
227. C2×#95C2×C4semidirect
228. C2×#95C2×C4semidirect
229. C2×#95C2×C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3852
C2×#14422
C2×#14402
C2×#14372
C2×#14362
C2×C22⋊#952
#75572
#75562
#75552