Finite Group Databasebeta

← #155662

Subgroups — #155662

Order 512.

3254 conjugacy classes of subgroups.

The subgroup lattice has 1995 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#388C211yesmaximal, characteristic
2C2×#1445C211yesmaximal, characteristic, complemented
3C2×#1443C211yesmaximal, characteristic, complemented
4C2×#1442C211yesmaximal, characteristic, complemented
5C2×#1439C211yesmaximal, characteristic
6#7557C211yesmaximal, characteristic, complemented
7#7557C211yesmaximal, characteristic, complemented
8#7556C211yesmaximal, characteristic, complemented
9#7555C211yesmaximal, characteristic
10#7555C211yesmaximal, characteristic
11#7555C211yesmaximal, characteristic
12#7555C211yesmaximal, characteristic
13#7555C211yesmaximal, characteristic
14#7554C211yesmaximal, characteristic, complemented
15#7554C211yesmaximal, characteristic, complemented
16C23×C4⋊C4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C22⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C42C2211yescharacteristic
26C2×#388—24no—
27C2×#388—24no—
28C2×#388C418yescomplemented
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#1445—24no—
55#1443—24no—
56#1442—24no—
57#1439—24no—
58C26C2311yescharacteristic
59C24×C4C2311yescharacteristic
60C24×C4C2311yescharacteristic
61C24×C4C2311yescharacteristic
62C24×C4C2311yescharacteristic
63C24×C4C2311yescharacteristic
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2311yescharacteristic
67C24×C4C2311yescharacteristic
68C24×C4C2311yescharacteristic
69C24×C4C2311yescharacteristic
70C24×C4C2311yescharacteristic
71C24×C4C2311yescharacteristic
72C24×C4C2311yescharacteristic
73C22×C4⋊C4—22no—
74C22×C4⋊C4—22no—
75C22×C4⋊C4—22no—
76C22×C4⋊C4—22no—
77C22×C4⋊C4—22no—
78C22×C4⋊C4—22no—
79C22×C4⋊C4—22no—
80C22×C4⋊C4—41no—
81C22×C4⋊C4—41no—
82C22×C4⋊C4—41no—
83C22×C4⋊C4—41no—
84C22×C4⋊C4—41no—
85C22×C4⋊C4—41no—
86C22×C4⋊C4C2×C414yes—
87C22×C22⋊C4—22no—
88C22×C22⋊C4—22no—
89C22×C22⋊C4—22no—
90C22×C22⋊C4—22no—
91C22×C22⋊C4—22no—
92C22×C22⋊C4—22no—
93C22×C22⋊C4—22no—
94C22×C22⋊C4—22no—
95C22×C22⋊C4—22no—
96C22×C22⋊C4—22no—
97C22×C22⋊C4—22no—
98C22×C22⋊C4—22no—
99C22×C22⋊C4—22no—
100C22×C22⋊C4—22no—
101C22×C22⋊C4—22no—
102C22×C22⋊C4—22no—
103C22×C22⋊C4—22no—
104C22×C22⋊C4—22no—
105C22×C22⋊C4—22no—
106C22×C22⋊C4—22no—
107C22×C22⋊C4—22no—
108C22×C22⋊C4—22no—
109C22×C22⋊C4—22no—
110C22×C22⋊C4—22no—
111C22×C22⋊C4—41no—
112C22×C22⋊C4—41no—
113C22×C22⋊C4—41no—
114C22×C22⋊C4—41no—
115C22×C22⋊C4—41no—
116C22×C22⋊C4—41no—
117C22×C22⋊C4—41no—
118C22×C22⋊C4—41no—
119C22×C22⋊C4—41no—
120C22×C22⋊C4—41no—
121C22×C22⋊C4—41no—
122C22×C22⋊C4—41no—
123C22×C22⋊C4—41no—
124C22×C22⋊C4—41no—
125C22×C22⋊C4—41no—
126C22×C22⋊C4—41no—
127C22×C22⋊C4—41no—
128C22×C22⋊C4—41no—
129C22×C22⋊C4—41no—
130C22×C22⋊C4—41no—
131C22×C22⋊C4—41no—
132C22×C22⋊C4—41no—
133C22×C22⋊C4C2×C414yes—
134C22×C22⋊C4C2×C414yes—
135C22×C22⋊C4C2×C414yes—
136C22×C42—22no—
137C22×C42—22no—
138C22×C42—41no—
139C22×C42—41no—
140C22×C42—41no—
141C22×C42—41no—
142C22×C42C2×C414yes—
143#388—232no—
144C2×#95—22no—
145C2×#95—22no—
146C2×#95—22no—
147C2×#95—22no—
148C2×#95—22no—
149C2×#95—22no—
150C2×#95—22no—
151C2×#95—22no—
152C2×#95—22no—
153C2×#95—22no—
154C2×#95—22no—
155C2×#95—22no—
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—41no—
181C2×#95—41no—
182C2×#95—41no—
183C2×#95—41no—
184C2×#95—41no—
185C2×#95—41no—
186C2×#95—41no—
187C2×#95—41no—
188C2×#95—41no—
189C2×#95—41no—
190C2×#95—41no—
191C2×#95—41no—
192C2×#95—41no—
193C2×#95—41no—
194C2×#95—41no—
195C2×#95—41no—
196C2×#95—41no—
197C2×#95—41no—
198C2×#95—41no—
199C2×#95—41no—
200C2×#95—41no—
201C2×#95—41no—
202C2×#95—41no—
203C2×#95—41no—
204C2×#95—41no—
205C2×#95—41no—
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×#95C2×C414yes—
215C2×#95C2×C414yes—
216C2×#95D414yes—
217C2×#95D414yes—
218C2×#95D414yes—
219C25—21no—
220C25—21no—
221C25—21no—
222C25—21no—
223C25—21no—
224C25—21no—
225C25—21no—
226C25—21no—
227C25—21no—
228C25—21no—
229C25—21no—
230C25—21no—
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—
247C25C22×C412yes—
248C25#4112yes—
249C25#4112yes—
250C25C2411yescharacteristic
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—21no—
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—21no—
348C23×C4—21no—
349C23×C4—21no—
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×C4C22×C412yes—
438C23×C4C22×C412yes—
439C23×C4C22×C412yes—
440C23×C4C22×C412yes—
441C23×C4C22×C412yes—
442C23×C4C22×C412yes—
443C23×C4C2×D412yes—
444C23×C4C2×D412yes—
445C23×C4C2×D412yes—
446C23×C4C2×D412yes—
447C23×C4C2×D412yes—
448C23×C4C2×D412yes—
449C23×C4C2×D412yes—
450C23×C4C2×D412yes—
451C23×C4C2×D412yes—
452C23×C4#4112yes—
453C23×C4#4112yes—
454C23×C4#4112yes—
455C23×C4#4112yes—
456C23×C4#4112yes—
457C23×C4#4112yes—
458C23×C4#4112yes—
459C23×C4#4112yes—
460C23×C4#4112yes—
461C2×C4⋊C4—28no—
462C2×C4⋊C4—28no—
463C2×C4⋊C4—44no—
464C2×C4⋊C4—44no—
465C2×C4⋊C4—44no—
466C2×C4⋊C4—44no—
467C2×C4⋊C4—44no—
468C2×C4⋊C4—44no—
469C2×C4⋊C4—44no—
470C2×C4⋊C4—44no—
471C2×C4⋊C4—44no—
472C2×C4⋊C4—44no—
473C2×C4⋊C4—44no—
474C2×C4⋊C4—44no—
475C2×C22⋊C4—28no—
476C2×C22⋊C4—28no—
477C2×C22⋊C4—28no—
478C2×C22⋊C4—28no—
479C2×C22⋊C4—28no—
480C2×C22⋊C4—28no—
481C2×C22⋊C4—28no—
482C2×C22⋊C4—28no—
483C2×C22⋊C4—28no—
484C2×C22⋊C4—28no—
485C2×C22⋊C4—44no—
486C2×C22⋊C4—44no—
487C2×C22⋊C4—44no—
488C2×C22⋊C4—44no—
489C2×C22⋊C4—44no—
490C2×C22⋊C4—44no—
491C2×C22⋊C4—44no—
492C2×C22⋊C4—44no—
493C2×C22⋊C4—44no—
494C2×C22⋊C4—44no—
495C2×C22⋊C4—44no—
496C2×C22⋊C4—44no—
497C2×C22⋊C4—44no—
498C2×C22⋊C4—44no—
499C2×C22⋊C4—44no—
500C2×C22⋊C4—44no—
501C2×C22⋊C4—44no—
502C2×C22⋊C4—44no—
503C2×C22⋊C4—44no—
504C2×C22⋊C4—44no—
505C2×C22⋊C4—44no—
506C2×C22⋊C4—44no—
507C2×C22⋊C4—44no—
508C2×C22⋊C4—44no—
509C2×C22⋊C4—44no—
510C2×C22⋊C4—44no—
511C2×C22⋊C4—44no—
512C2×C22⋊C4—44no—
513C2×C22⋊C4—44no—
514C2×C22⋊C4—44no—
515C2×C22⋊C4—44no—
516C2×C22⋊C4—44no—
517C2×C22⋊C4—44no—
518C2×C22⋊C4—44no—
519C2×C22⋊C4—44no—
520C2×C22⋊C4—44no—
521C2×C22⋊C4—44no—
522C2×C22⋊C4—44no—
523C2×C22⋊C4—44no—
524C2×C42—28no—
525C2×C42—44no—
526C2×C42—44no—
527C2×C42—44no—
528C2×C42—44no—
529C2×C42—44no—
530C2×C42—44no—
531#95—28no—
532#95—44no—
533#95—44no—
534#95—44no—
535#95—44no—
536#95—44no—
537#95—44no—
538#95—44no—
539#95—44no—
540#95—44no—
541#95—44no—
542#95—44no—
543#95—44no—
544#95—44no—
545#95—44no—
546#95—44no—
547#95—44no—
548#95—44no—
549#95—44no—
550#95—44no—
551#95—44no—
552#95—44no—
553#95—44no—
554#95—44no—
555#95C22⋊C4116yescomplemented
556C24—22no—
557C24—22no—
558C24—22no—
559C24—22no—
560C24—22no—
561C24—22no—
562C24—22no—
563C24—22no—
564C24—22no—
565C24—22no—
566C24—22no—
567C24—22no—
568C24—22no—
569C24—22no—
570C24—22no—
571C24—22no—
572C24—22no—
573C24—22no—
574C24—22no—
575C24—22no—
576C24—22no—
577C24—22no—
578C24—22no—
579C24—22no—
580C24—22no—
581C24—22no—
582C24—22no—
583C24—22no—
584C24—22no—
585C24—22no—
586C24—22no—
587C24—22no—
588C24—22no—
589C24—22no—
590C24—22no—
591C24—22no—
592C24—22no—
593C24—22no—
594C24—22no—
595C24—22no—
596C24—22no—
597C24—22no—
598C24—41no—
599C24—41no—
600C24—41no—
601C24—41no—
602C24—41no—
603C24—41no—
604C24—41no—
605C24—41no—
606C24—41no—
607C24—41no—
608C24—41no—
609C24—41no—
610C24—41no—
611C24—41no—
612C24—41no—
613C24—41no—
614C24—41no—
615C24—41no—
616C24—41no—
617C24—41no—
618C24—41no—
619C24—41no—
620C24—41no—
621C24—41no—
622C24—41no—
623C24—41no—
624C24—41no—
625C24—41no—
626C24—41no—
627C24—41no—
628C24—41no—
629C24—41no—
630C24—41no—
631C24—41no—
632C24—41no—
633C24—41no—
634C24—41no—
635C24—41no—
636C24—41no—
637C24—41no—
638C24—41no—
639C24—41no—
640C24—41no—
641C24—41no—
642C24—41no—
643C24—41no—
644C24—41no—
645C24—41no—
646C24—41no—
647C24—41no—
648C24—41no—
649C24—41no—
650C24—41no—
651C24—41no—
652C24—41no—
653C24—41no—
654C24—41no—
655C24—41no—
656C24—41no—
657C24—41no—
658C24—41no—
659C24—41no—
660C24—41no—
661C24—41no—
662C24—41no—
663C24—41no—
664C24—41no—
665C24—41no—
666C24—41no—
667C24—41no—
668C24—41no—
669C24—41no—
670C24—41no—
671C24—41no—
672C24—41no—
673C24—41no—
674C24—41no—
675C24—41no—
676C24—41no—
677C24—41no—
678C24—41no—
679C24—41no—
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#11714yes—
711C24C23×C411yescharacteristic
712C24C22×D411yescharacteristic
713C24C22×D411yescharacteristic
714C24C22×D411yescharacteristic
715C24C2×#4111yescharacteristic
716C24C2×#4111yescharacteristic
717C24C2×#4111yescharacteristic
718C24C2×#4111yescharacteristic
719C24C2×#4111yescharacteristic
720C24C2×#4111yescharacteristic
721C24C2×#4111yescharacteristic
722C24C2×#4111yescharacteristic
723C24C2×#4111yescharacteristic
724C24C2×#4111yescharacteristic
725C24C2×#4111yescharacteristic
726C24H(5,𝔽2)11yescharacteristic
727C24H(5,𝔽2)11yescharacteristic
728C24H(5,𝔽2)11yescharacteristic
729C24H(5,𝔽2)11yescharacteristic
730C24H(5,𝔽2)11yescharacteristic
731C24H(5,𝔽2)11yescharacteristic
732C24H(5,𝔽2)11yescharacteristic
733C24H(5,𝔽2)11yescharacteristic
734C24H(5,𝔽2)11yescharacteristic
735C24H(5,𝔽2)11yescharacteristic
736C24H(5,𝔽2)11yescharacteristic
737C242−1+411yescharacteristic
738C242−1+411yescharacteristic
739C242−1+411yescharacteristic
740C242−1+411yescharacteristic
741C242−1+411yescharacteristic
742C22×C4—22no—
743C22×C4—22no—
744C22×C4—22no—
745C22×C4—22no—
746C22×C4—22no—
747C22×C4—22no—
748C22×C4—22no—
749C22×C4—22no—
750C22×C4—22no—
751C22×C4—22no—
752C22×C4—22no—
753C22×C4—22no—
754C22×C4—22no—
755C22×C4—22no—
756C22×C4—22no—
757C22×C4—22no—
758C22×C4—22no—
759C22×C4—22no—
760C22×C4—22no—
761C22×C4—22no—
762C22×C4—22no—
763C22×C4—22no—
764C22×C4—22no—
765C22×C4—22no—
766C22×C4—22no—
767C22×C4—22no—
768C22×C4—22no—
769C22×C4—22no—
770C22×C4—22no—
771C22×C4—22no—
772C22×C4—22no—
773C22×C4—22no—
774C22×C4—22no—
775C22×C4—22no—
776C22×C4—22no—
777C22×C4—22no—
778C22×C4—22no—
779C22×C4—22no—
780C22×C4—22no—
781C22×C4—22no—
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—41no—
896C22×C4—41no—
897C22×C4—41no—
898C22×C4—41no—
899C22×C4—41no—
900C22×C4—41no—
901C22×C4—41no—
902C22×C4—41no—
903C22×C4—41no—
904C22×C4—41no—
905C22×C4—41no—
906C22×C4—41no—
907C22×C4—41no—
908C22×C4—41no—
909C22×C4—41no—
910C22×C4—41no—
911C22×C4—41no—
912C22×C4—41no—
913C22×C4—41no—
914C22×C4—41no—
915C22×C4—41no—
916C22×C4—41no—
917C22×C4—41no—
918C22×C4—41no—
919C22×C4—41no—
920C22×C4—41no—
921C22×C4—41no—
922C22×C4—41no—
923C22×C4—41no—
924C22×C4—41no—
925C22×C4—41no—
926C22×C4—41no—
927C22×C4—41no—
928C22×C4—41no—
929C22×C4—41no—
930C22×C4—41no—
931C22×C4—41no—
932C22×C4—41no—
933C22×C4—41no—
934C22×C4—41no—
935C22×C4—41no—
936C22×C4—41no—
937C22×C4—41no—
938C22×C4—41no—
939C22×C4—41no—
940C22×C4—41no—
941C22×C4—41no—
942C22×C4—41no—
943C22×C4—41no—
944C22×C4—41no—
945C22×C4—41no—
946C22×C4—41no—
947C22×C4—41no—
948C22×C4—41no—
949C22×C4—41no—
950C22×C4—41no—
951C22×C4—41no—
952C22×C4—41no—
953C22×C4—41no—
954C22×C4—41no—
955C22×C4—41no—
956C22×C4—41no—
957C22×C4—41no—
958C22×C4—41no—
959C22×C4—41no—
960C22×C4—41no—
961C22×C4—41no—
962C22×C4—41no—
963C22×C4—41no—
964C22×C4—41no—
965C22×C4—41no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—41no—
969C22×C4—41no—
970C22×C4—41no—
971C22×C4—41no—
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×C4C2×C22⋊C414yes—
1228C22×C4C2×C22⋊C414yes—
1229C22×C4C2×C22⋊C414yes—
1230C22×C4#11714yes—
1231C22×C4C4×D414yes—
1232C4⋊C4—416no—
1233C4⋊C4—416no—
1234C22⋊C4—232no—
1235C22⋊C4—416no—
1236C22⋊C4—416no—
1237C22⋊C4—416no—
1238C22⋊C4—416no—
1239C22⋊C4—416no—
1240C22⋊C4—416no—
1241C42—416no—
1242C23—24no—
1243C23—24no—
1244C23—24no—
1245C23—24no—
1246C23—24no—
1247C23—24no—
1248C23—24no—
1249C23—42no—
1250C23—42no—
1251C23—42no—
1252C23—42no—
1253C23—42no—
1254C23—42no—
1255C23—42no—
1256C23—42no—
1257C23—42no—
1258C23—42no—
1259C23—42no—
1260C23—42no—
1261C23—42no—
1262C23—42no—
1263C23—42no—
1264C23—42no—
1265C23—42no—
1266C23—42no—
1267C23—42no—
1268C23—42no—
1269C23—42no—
1270C23—42no—
1271C23—42no—
1272C23—42no—
1273C23—42no—
1274C23—42no—
1275C23—42no—
1276C23—42no—
1277C23—42no—
1278C23—42no—
1279C23—42no—
1280C23—42no—
1281C23—42no—
1282C23—42no—
1283C23—42no—
1284C23—42no—
1285C23—42no—
1286C23—42no—
1287C23—42no—
1288C23—42no—
1289C23—42no—
1290C23—42no—
1291C23—42no—
1292C23—42no—
1293C23—42no—
1294C23—42no—
1295C23—42no—
1296C23—42no—
1297C23—42no—
1298C23—42no—
1299C23—42no—
1300C23—42no—
1301C23—42no—
1302C23—42no—
1303C23—42no—
1304C23—42no—
1305C23—42no—
1306C23—42no—
1307C23—42no—
1308C23—42no—
1309C23—42no—
1310C23—42no—
1311C23—42no—
1312C23—42no—
1313C23—42no—
1314C23—42no—
1315C23—42no—
1316C23—42no—
1317C23—42no—
1318C23—42no—
1319C23—42no—
1320C23—42no—
1321C23—42no—
1322C23—42no—
1323C23—42no—
1324C23—42no—
1325C23—42no—
1326C23—42no—
1327C23—42no—
1328C23—42no—
1329C23—42no—
1330C23—42no—
1331C23—42no—
1332C23—42no—
1333C23—81no—
1334C23—81no—
1335C23—81no—
1336C23—81no—
1337C23—81no—
1338C23—81no—
1339C23—81no—
1340C23—81no—
1341C23—81no—
1342C23—81no—
1343C23—81no—
1344C23—81no—
1345C23—81no—
1346C23—81no—
1347C23—81no—
1348C23—81no—
1349C23—81no—
1350C23—81no—
1351C23—81no—
1352C23—81no—
1353C23—81no—
1354C23—81no—
1355C23—81no—
1356C23—81no—
1357C23—81no—
1358C23—81no—
1359C23—81no—
1360C23—81no—
1361C23—81no—
1362C23—81no—
1363C23—81no—
1364C23—81no—
1365C23—81no—
1366C23—81no—
1367C23—81no—
1368C23—81no—
1369C23—81no—
1370C23—81no—
1371C23—81no—
1372C23—81no—
1373C23—81no—
1374C23—81no—
1375C23—81no—
1376C23—81no—
1377C23—81no—
1378C23—81no—
1379C23—81no—
1380C23—81no—
1381C23—81no—
1382C23—81no—
1383C23—81no—
1384C23—81no—
1385C23—81no—
1386C23—81no—
1387C23—81no—
1388C23—81no—
1389C23—81no—
1390C23—81no—
1391C23—81no—
1392C23—81no—
1393C23—81no—
1394C23—81no—
1395C23—81no—
1396C23—81no—
1397C23C22×C22⋊C411yescharacteristic
1398C23C2×#11711yescharacteristic
1399C23C2×#11711yescharacteristic
1400C23C2×C4×D411yescharacteristic
1401C23C4×#4111yescharacteristic
1402C23C4×#4111yescharacteristic
1403C23C4×#4111yescharacteristic
1404C23#51811yescharacteristic
1405C23#51811yescharacteristic
1406C23#51811yescharacteristic
1407C23#52011yescharacteristic
1408C23#52011yescharacteristic
1409C23#52011yescharacteristic
1410C23#52011yescharacteristic
1411C23#52011yescharacteristic
1412C23#52511yescharacteristic
1413C23#52511yescharacteristic
1414C23#52511yescharacteristic
1415C23#52511yescharacteristic
1416C23#52911yescharacteristic
1417C23#52911yescharacteristic
1418C23#52911yescharacteristic
1419C23#52911yescharacteristic
1420C23#52911yescharacteristic
1421C23#52911yescharacteristic
1422C23#53211yescharacteristic
1423C23#53211yescharacteristic
1424C23#53411yescharacteristic
1425C23#53511yescharacteristic
1426C23#53511yescharacteristic
1427C23#53511yescharacteristic
1428C23#53511yescharacteristic
1429C23#53511yescharacteristic
1430C23#53511yescharacteristic
1431C23#53611yescharacteristic
1432C23#53611yescharacteristic
1433C23#53711yescharacteristic
1434C23#53711yescharacteristic
1435C23#53711yescharacteristic
1436C23#53811yescharacteristic
1437C23#53811yescharacteristic
1438C23#53811yescharacteristic
1439C23#53811yescharacteristic
1440C23#53811yescharacteristic
1441C23#53811yescharacteristic
1442C23#53811yescharacteristic
1443C23#53811yescharacteristic
1444C23#53811yescharacteristic
1445C23#53811yescharacteristic
1446C23#53811yescharacteristic
1447C23#53811yescharacteristic
1448C23#53811yescharacteristic
1449C23#53811yescharacteristic
1450C23#53811yescharacteristic
1451C23#53811yescharacteristic
1452C23#53811yescharacteristic
1453C23#53911yescharacteristic
1454C23#53911yescharacteristic
1455C23#53911yescharacteristic
1456C23#53911yescharacteristic
1457C23#53911yescharacteristic
1458C23#53911yescharacteristic
1459C23#53911yescharacteristic
1460C23#53911yescharacteristic
1461C23#53911yescharacteristic
1462C23#53911yescharacteristic
1463C23#53911yescharacteristic
1464C23#53911yescharacteristic
1465C23#53911yescharacteristic
1466C23#54011yescharacteristic
1467C23#54011yescharacteristic
1468C23#54011yescharacteristic
1469C23#54011yescharacteristic
1470C23#54011yescharacteristic
1471C23#54011yescharacteristic
1472C23#54011yescharacteristic
1473C23#54111yescharacteristic
1474C23#54111yescharacteristic
1475C23#54111yescharacteristic
1476C23#54211yescharacteristic
1477C23#54211yescharacteristic
1478C23#54211yescharacteristic
1479C23#54211yescharacteristic
1480C23#54211yescharacteristic
1481C23#54211yescharacteristic
1482C23#54211yescharacteristic
1483C23#54211yescharacteristic
1484C23#54211yescharacteristic
1485C23#54211yescharacteristic
1486C23#54211yescharacteristic
1487C23#54211yescharacteristic
1488C23D4211yescharacteristic
1489C23D4211yescharacteristic
1490C23#54611yescharacteristic
1491C23#54611yescharacteristic
1492C23#54611yescharacteristic
1493C23#54611yescharacteristic
1494C23#54611yescharacteristic
1495C23#54611yescharacteristic
1496C23#54611yescharacteristic
1497C23#54611yescharacteristic
1498C23#54611yescharacteristic
1499C23#54611yescharacteristic
1500C23#54711yescharacteristic
1501C23#54711yescharacteristic
1502C23#54711yescharacteristic
1503C23#54711yescharacteristic
1504C23#54811yescharacteristic
1505C23#54811yescharacteristic
1506C23#54811yescharacteristic
1507C23#54811yescharacteristic
1508C23#55011yescharacteristic
1509C23#55011yescharacteristic
1510C23#55111yescharacteristic
1511C23#55111yescharacteristic
1512C23#55111yescharacteristic
1513C23#55111yescharacteristic
1514C23#55111yescharacteristic
1515C23#55111yescharacteristic
1516C23#55111yescharacteristic
1517C23#55111yescharacteristic
1518C23#55211yescharacteristic
1519C23#55211yescharacteristic
1520C23#55211yescharacteristic
1521C23#55211yescharacteristic
1522C23#55211yescharacteristic
1523C23#55211yescharacteristic
1524C23#55311yescharacteristic
1525C23#55311yescharacteristic
1526C23#55311yescharacteristic
1527C23#55311yescharacteristic
1528C23#55311yescharacteristic
1529C23#55311yescharacteristic
1530C23#55311yescharacteristic
1531C23#55311yescharacteristic
1532C23#55611yescharacteristic
1533C23#55611yescharacteristic
1534C23#55911yescharacteristic
1535C23#55911yescharacteristic
1536C23#56011yescharacteristic
1537C23#56011yescharacteristic
1538C23#56011yescharacteristic
1539C23#56011yescharacteristic
1540C23H(3,𝔽4)11yescharacteristic
1541C23#56211yescharacteristic
1542C23#56211yescharacteristic
1543C23#56211yescharacteristic
1544C23#56211yescharacteristic
1545C23#56211yescharacteristic
1546C23#56211yescharacteristic
1547C23#56311yescharacteristic
1548C23#56311yescharacteristic
1549C23#56311yescharacteristic
1550C23#56311yescharacteristic
1551C23#56311yescharacteristic
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—42no—
1568C2×C4—42no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—42no—
1576C2×C4—42no—
1577C2×C4—42no—
1578C2×C4—42no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—42no—
1584C2×C4—42no—
1585C2×C4—42no—
1586C2×C4—42no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—42no—
1593C2×C4—42no—
1594C2×C4—42no—
1595C2×C4—42no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
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—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—81no—
1724C2×C4—81no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—81no—
1728C2×C4—81no—
1729C2×C4—81no—
1730C2×C4—81no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—81no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—81no—
1756C2×C4—81no—
1757C2×C4—81no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C22—44no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—44no—
1768C22—44no—
1769C22—82no—
1770C22—82no—
1771C22—82no—
1772C22—82no—
1773C22—82no—
1774C22—82no—
1775C22—82no—
1776C22—82no—
1777C22—82no—
1778C22—82no—
1779C22—82no—
1780C22—82no—
1781C22—82no—
1782C22—82no—
1783C22—82no—
1784C22—82no—
1785C22—82no—
1786C22—82no—
1787C22—82no—
1788C22—82no—
1789C22—82no—
1790C22—82no—
1791C22—82no—
1792C22—82no—
1793C22#228011yescharacteristic
1794C22#229311yescharacteristic
1795C22#229811yescharacteristic
1796C22#230911yescharacteristic
1797C22#231111yescharacteristic
1798C22#231411yescharacteristic
1799C22#231811yescharacteristic
1800C22#231811yescharacteristic
1801C22#231811yescharacteristic
1802C22#231811yescharacteristic
1803C22#231911yescharacteristic
1804C22#232511yescharacteristic
1805C22#232611yescharacteristic
1806C22#233311yescharacteristic
1807C22#233411yescharacteristic
1808C22#233411yescharacteristic
1809C22#233511yescharacteristic
1810C22#233511yescharacteristic
1811C22#233711yescharacteristic
1812C22D4×C22⋊C411yescharacteristic
1813C22#233911yescharacteristic
1814C22#233911yescharacteristic
1815C22#234111yescharacteristic
1816C22#234311yescharacteristic
1817C22#234311yescharacteristic
1818C22#235211yescharacteristic
1819C22#235311yescharacteristic
1820C22#236411yescharacteristic
1821C22#236711yescharacteristic
1822C22#237311yescharacteristic
1823C22#237411yescharacteristic
1824C22#237611yescharacteristic
1825C22#237711yescharacteristic
1826C22#237911yescharacteristic
1827C22#238311yescharacteristic
1828C22#245711yescharacteristic
1829C22#245711yescharacteristic
1830C22#246111yescharacteristic
1831C22#246111yescharacteristic
1832C22#246411yescharacteristic
1833C22#246411yescharacteristic
1834C22#246811yescharacteristic
1835C22#246811yescharacteristic
1836C22#247111yescharacteristic
1837C22#247111yescharacteristic
1838C22#247511yescharacteristic
1839C22#247511yescharacteristic
1840C22#247711yescharacteristic
1841C22#247711yescharacteristic
1842C22#247911yescharacteristic
1843C22#247911yescharacteristic
1844C22#255711yescharacteristic
1845C22#255811yescharacteristic
1846C22#255911yescharacteristic
1847C22#256011yescharacteristic
1848C22#259411yescharacteristic
1849C22#259511yescharacteristic
1850C22#259611yescharacteristic
1851C22#259711yescharacteristic
1852C22#263111yescharacteristic
1853C22#263111yescharacteristic
1854C22#263311yescharacteristic
1855C22#263311yescharacteristic
1856C22#263611yescharacteristic
1857C22#263611yescharacteristic
1858C22#263611yescharacteristic
1859C22#263611yescharacteristic
1860C22#264811yescharacteristic
1861C22#264811yescharacteristic
1862C22#264911yescharacteristic
1863C22#264911yescharacteristic
1864C22#265011yescharacteristic
1865C22#265011yescharacteristic
1866C22#265111yescharacteristic
1867C22#265111yescharacteristic
1868C22#265311yescharacteristic
1869C22#265311yescharacteristic
1870C22#265411yescharacteristic
1871C22#265411yescharacteristic
1872C22#266111yescharacteristic
1873C22#266211yescharacteristic
1874C22#266311yescharacteristic
1875C22#266411yescharacteristic
1876C22#267011yescharacteristic
1877C22#267211yescharacteristic
1878C22#267311yescharacteristic
1879C22#267311yescharacteristic
1880C22#267411yescharacteristic
1881C22#267611yescharacteristic
1882C22#267611yescharacteristic
1883C22#267611yescharacteristic
1884C22#268511yescharacteristic
1885C22#268711yescharacteristic
1886C22#269011yescharacteristic
1887C22#269611yescharacteristic
1888C22#269711yescharacteristic
1889C22#270011yescharacteristic
1890C22#270211yescharacteristic
1891C22#270211yescharacteristic
1892C22#270311yescharacteristic
1893C22#270311yescharacteristic
1894C22#270511yescharacteristic
1895C22#270611yescharacteristic
1896C22#270611yescharacteristic
1897C22#270711yescharacteristic
1898C22#271011yescharacteristic
1899C22#271011yescharacteristic
1900C22#271011yescharacteristic
1901C22#271111yescharacteristic
1902C22#271111yescharacteristic
1903C22#271211yescharacteristic
1904C22#271411yescharacteristic
1905C22#271411yescharacteristic
1906C22#271411yescharacteristic
1907C22#271511yescharacteristic
1908C22#271611yescharacteristic
1909C22#271811yescharacteristic
1910C22#271811yescharacteristic
1911C22#272111yescharacteristic
1912C22#272311yescharacteristic
1913C22#272511yescharacteristic
1914C22#272711yescharacteristic
1915C22#272811yescharacteristic
1916C22#273511yescharacteristic
1917C22#273611yescharacteristic
1918C22#273811yescharacteristic
1919C22#273911yescharacteristic
1920C22#273911yescharacteristic
1921C22#274011yescharacteristic
1922C22#274111yescharacteristic
1923C22#274511yescharacteristic
1924C22#274611yescharacteristic
1925C22#274711yescharacteristic
1926C22#275011yescharacteristic
1927C22#275011yescharacteristic
1928C22#275111yescharacteristic
1929C22#275311yescharacteristic
1930C22#275711yescharacteristic
1931C22#276511yescharacteristic
1932C22#277111yescharacteristic
1933C22#277811yescharacteristic
1934C22#277911yescharacteristic
1935C22#277911yescharacteristic
1936C22#278711yescharacteristic
1937C22#278711yescharacteristic
1938C22#279611yescharacteristic
1939C22#279711yescharacteristic
1940C22#282811yescharacteristic
1941C22#282911yescharacteristic
1942C22#283111yescharacteristic
1943C22#283211yescharacteristic
1944C22#283611yescharacteristic
1945C22#283711yescharacteristic
1946C22#283711yescharacteristic
1947C22#283811yescharacteristic
1948C4—44no—
1949C4—44no—
1950C4—44no—
1951C4—44no—
1952C4—44no—
1953C4—82no—
1954C4—82no—
1955C4—82no—
1956C4—82no—
1957C4—82no—
1958C4—82no—
1959C4—82no—
1960C4—82no—
1961C4—82no—
1962C2—84no—
1963C2#1391211yescharacteristic
1964C2#1394411yescharacteristic
1965C2#1415811yescharacteristic
1966C2#1427911yescharacteristic
1967C2#1429311yescharacteristic
1968C2#1434511yescharacteristic
1969C2#1441811yescharacteristic
1970C2#1442111yescharacteristic
1971C2#1443311yescharacteristic
1972C2#1443611yescharacteristic
1973C2#1448111yescharacteristic
1974C2#1449311yescharacteristic
1975C2#1450611yescharacteristic
1976C2#1450911yescharacteristic
1977C2#1467111yescharacteristic
1978C2#1653511yescharacteristic
1979C2#1653611yescharacteristic
1980C2#1653911yescharacteristic
1981C2#1654011yescharacteristic
1982C2#1654311yescharacteristic
1983C2#1654411yescharacteristic
1984C2#1654711yescharacteristic
1985C2#1654811yescharacteristic
1986C2#1658011yescharacteristic
1987C2#1658111yescharacteristic
1988C2#1658411yescharacteristic
1989C2#1658511yescharacteristic
1990C2#1658811yescharacteristic
1991C2#1658911yescharacteristic
1992C2#1659211yescharacteristic
1993C2#1659311yescharacteristic
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×#1445C2semidirect
3. C2×#1443C2semidirect
4. C2×#1442C2semidirect
6. #7557C2semidirect
7. #7557C2semidirect
8. #7556C2semidirect
14. #7554C2semidirect
15. #7554C2semidirect
28. C2×#388C4semidirect
555. #95C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3882
C2×#14452
C2×#14432
C2×#14422
C2×#14392
#75572
#75562
#75552
#75542