Finite Group Databasebeta

← #154754

Subgroups — #154754

Order 512.

3458 conjugacy classes of subgroups.

The subgroup lattice has 2008 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#388C211yesmaximal, characteristic
2C2×#1443C211yesmaximal, characteristic, complemented
3C2×#1441C211yesmaximal, characteristic, complemented
4C2×#1439C211yesmaximal, characteristic
5C2×#1437C211yesmaximal, characteristic
6C2×#1436C211yesmaximal, characteristic, complemented
7C2×#1434C211yesmaximal, characteristic, complemented
8#7557C211yesmaximal, characteristic, complemented
9#7556C211yesmaximal, characteristic, complemented
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
26C23×C42C2211yescharacteristic
27C2×#388—24no—
28C2×#388—24no—
29C2×#388C418yescomplemented
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#1443—24no—
55#1441—24no—
56#1439—24no—
57#1437—24no—
58#1436—24no—
59#1434—24no—
60C26C2311yescharacteristic
61C24×C4C2311yescharacteristic
62C24×C4C2311yescharacteristic
63C24×C4C2311yescharacteristic
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2311yescharacteristic
67C24×C4C2311yescharacteristic
68C24×C4C2311yescharacteristic
69C24×C4C2311yescharacteristic
70C24×C4C2311yescharacteristic
71C24×C4C2311yescharacteristic
72C24×C4C2311yescharacteristic
73C24×C4C2311yescharacteristic
74C24×C4C2311yescharacteristic
75C22×C4⋊C4—22no—
76C22×C4⋊C4—22no—
77C22×C4⋊C4—22no—
78C22×C4⋊C4—22no—
79C22×C4⋊C4—22no—
80C22×C4⋊C4—22no—
81C22×C4⋊C4—22no—
82C22×C4⋊C4—22no—
83C22×C4⋊C4—22no—
84C22×C4⋊C4—41no—
85C22×C4⋊C4—41no—
86C22×C4⋊C4—41no—
87C22×C4⋊C4—41no—
88C22×C4⋊C4C2×C414yes—
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—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—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⋊C4—41no—
134C22×C22⋊C4—41no—
135C22×C22⋊C4C2×C414yes—
136C22×C22⋊C4C2×C414yes—
137C22×C22⋊C4C2×C414yes—
138C22×C42—22no—
139C22×C42—22no—
140C22×C42—22no—
141C22×C42—22no—
142C22×C42—22no—
143C22×C42—22no—
144C22×C42—22no—
145C22×C42—41no—
146C22×C42—41no—
147C22×C42—41no—
148C22×C42—41no—
149C22×C42—41no—
150C22×C42—41no—
151C22×C42C2×C414yes—
152#388—232no—
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—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—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×#95—41no—
215C2×#95—41no—
216C2×#95—41no—
217C2×#95—41no—
218C2×#95—41no—
219C2×#95C2×C414yes—
220C2×#95C2×C414yes—
221C2×#95D414yes—
222C2×#95D414yes—
223C2×#95D414yes—
224C2×#95D414yes—
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—
247C25—21no—
248C25—21no—
249C25—21no—
250C25—21no—
251C25—21no—
252C25—21no—
253C25C22×C412yes—
254C25#4112yes—
255C25#4112yes—
256C25C2411yescharacteristic
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×C4C2×D412yes—
453C23×C4C2×D412yes—
454C23×C4C2×D412yes—
455C23×C4#4112yes—
456C23×C4#4112yes—
457C23×C4#4112yes—
458C23×C4#4112yes—
459C23×C4#4112yes—
460C23×C4#4112yes—
461C23×C4#4112yes—
462C23×C4#4112yes—
463C23×C4#4112yes—
464C23×C4#4112yes—
465C23×C4#4112yes—
466C23×C4#4112yes—
467C2×C4⋊C4—28no—
468C2×C4⋊C4—28no—
469C2×C4⋊C4—28no—
470C2×C4⋊C4—44no—
471C2×C4⋊C4—44no—
472C2×C4⋊C4—44no—
473C2×C4⋊C4—44no—
474C2×C4⋊C4—44no—
475C2×C4⋊C4—44no—
476C2×C4⋊C4—44no—
477C2×C4⋊C4—44no—
478C2×C4⋊C4—44no—
479C2×C4⋊C4—44no—
480C2×C4⋊C4—44no—
481C2×C22⋊C4—28no—
482C2×C22⋊C4—28no—
483C2×C22⋊C4—28no—
484C2×C22⋊C4—28no—
485C2×C22⋊C4—28no—
486C2×C22⋊C4—28no—
487C2×C22⋊C4—28no—
488C2×C22⋊C4—28no—
489C2×C22⋊C4—28no—
490C2×C22⋊C4—28no—
491C2×C22⋊C4—28no—
492C2×C22⋊C4—28no—
493C2×C22⋊C4—28no—
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×C22⋊C4—44no—
525C2×C22⋊C4—44no—
526C2×C22⋊C4—44no—
527C2×C22⋊C4—44no—
528C2×C22⋊C4—44no—
529C2×C22⋊C4—44no—
530C2×C42—28no—
531C2×C42—28no—
532C2×C42—44no—
533C2×C42—44no—
534C2×C42—44no—
535C2×C42—44no—
536C2×C42—44no—
537C2×C42—44no—
538C2×C42—44no—
539C2×C42—44no—
540C2×C42—44no—
541C2×C42—44no—
542C2×C42—44no—
543C2×C42—44no—
544#95—28no—
545#95—28no—
546#95—28no—
547#95—28no—
548#95—44no—
549#95—44no—
550#95—44no—
551#95—44no—
552#95—44no—
553#95—44no—
554#95—44no—
555#95—44no—
556#95—44no—
557#95—44no—
558#95—44no—
559#95—44no—
560#95—44no—
561#95—44no—
562#95—44no—
563#95—44no—
564#95—44no—
565#95—44no—
566#95—44no—
567#95C22⋊C4116yescomplemented
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—22no—
599C24—22no—
600C24—22no—
601C24—22no—
602C24—22no—
603C24—22no—
604C24—22no—
605C24—22no—
606C24—22no—
607C24—22no—
608C24—22no—
609C24—22no—
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—41no—
711C24—41no—
712C24—41no—
713C24—41no—
714C24—41no—
715C24—41no—
716C24—41no—
717C24—41no—
718C24—41no—
719C24—41no—
720C24—41no—
721C24—41no—
722C24#11714yes—
723C24C23×C411yescharacteristic
724C24C22×D411yescharacteristic
725C24C22×D411yescharacteristic
726C24C22×D411yescharacteristic
727C24C22×D411yescharacteristic
728C24C2×#4111yescharacteristic
729C24C2×#4111yescharacteristic
730C24C2×#4111yescharacteristic
731C24C2×#4111yescharacteristic
732C24C2×#4111yescharacteristic
733C24C2×#4111yescharacteristic
734C24C2×#4111yescharacteristic
735C24C2×#4111yescharacteristic
736C24C2×#4111yescharacteristic
737C24C2×#4111yescharacteristic
738C24C2×#4111yescharacteristic
739C24C2×#4111yescharacteristic
740C24C2×#4111yescharacteristic
741C24C2×#4111yescharacteristic
742C24H(5,𝔽2)11yescharacteristic
743C24H(5,𝔽2)11yescharacteristic
744C24H(5,𝔽2)11yescharacteristic
745C24H(5,𝔽2)11yescharacteristic
746C24H(5,𝔽2)11yescharacteristic
747C24H(5,𝔽2)11yescharacteristic
748C24H(5,𝔽2)11yescharacteristic
749C24H(5,𝔽2)11yescharacteristic
750C242−1+411yescharacteristic
751C242−1+411yescharacteristic
752C242−1+411yescharacteristic
753C242−1+411yescharacteristic
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—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—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×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×C4C2×C22⋊C414yes—
1237C22×C4C2×C22⋊C414yes—
1238C22×C4C2×C22⋊C414yes—
1239C22×C4#11714yes—
1240C22×C4C4×D414yes—
1241C22×C4C4×D414yes—
1242C22×C4#12114yes—
1243C22×C4#12614yes—
1244C4⋊C4—416no—
1245C4⋊C4—416no—
1246C22⋊C4—232no—
1247C22⋊C4—416no—
1248C22⋊C4—416no—
1249C22⋊C4—416no—
1250C22⋊C4—416no—
1251C22⋊C4—416no—
1252C22⋊C4—416no—
1253C42—416no—
1254C42—416no—
1255C23—24no—
1256C23—24no—
1257C23—24no—
1258C23—24no—
1259C23—24no—
1260C23—24no—
1261C23—24no—
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—42no—
1334C23—42no—
1335C23—42no—
1336C23—42no—
1337C23—42no—
1338C23—42no—
1339C23—42no—
1340C23—42no—
1341C23—42no—
1342C23—42no—
1343C23—42no—
1344C23—42no—
1345C23—42no—
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—
1397C23—81no—
1398C23—81no—
1399C23—81no—
1400C23—81no—
1401C23—81no—
1402C23—81no—
1403C23—81no—
1404C23—81no—
1405C23—81no—
1406C23—81no—
1407C23—81no—
1408C23—81no—
1409C23—81no—
1410C23C22×C22⋊C411yescharacteristic
1411C23C2×#11711yescharacteristic
1412C23C2×#11711yescharacteristic
1413C23C2×C4×D411yescharacteristic
1414C23C2×C4×D411yescharacteristic
1415C23C4×#4111yescharacteristic
1416C23C4×#4111yescharacteristic
1417C23C4×#4111yescharacteristic
1418C23C4×#4111yescharacteristic
1419C23#51811yescharacteristic
1420C23#51811yescharacteristic
1421C23#52011yescharacteristic
1422C23#52011yescharacteristic
1423C23#52011yescharacteristic
1424C23#52011yescharacteristic
1425C23C2×#12111yescharacteristic
1426C23#52511yescharacteristic
1427C23#52511yescharacteristic
1428C23#52511yescharacteristic
1429C23#52511yescharacteristic
1430C23#52511yescharacteristic
1431C23#52511yescharacteristic
1432C23#52511yescharacteristic
1433C23#52511yescharacteristic
1434C23#52511yescharacteristic
1435C23C2×#12611yescharacteristic
1436C23#52911yescharacteristic
1437C23#52911yescharacteristic
1438C23#52911yescharacteristic
1439C23#52911yescharacteristic
1440C23#52911yescharacteristic
1441C23#52911yescharacteristic
1442C23#52911yescharacteristic
1443C23#52911yescharacteristic
1444C23#53211yescharacteristic
1445C23#53211yescharacteristic
1446C23#53211yescharacteristic
1447C23#53211yescharacteristic
1448C23#53211yescharacteristic
1449C23#53411yescharacteristic
1450C23#53511yescharacteristic
1451C23#53511yescharacteristic
1452C23#53611yescharacteristic
1453C23#53611yescharacteristic
1454C23#53611yescharacteristic
1455C23#53711yescharacteristic
1456C23#53711yescharacteristic
1457C23#53811yescharacteristic
1458C23#53811yescharacteristic
1459C23#53811yescharacteristic
1460C23#53811yescharacteristic
1461C23#53811yescharacteristic
1462C23#53811yescharacteristic
1463C23#53811yescharacteristic
1464C23#53811yescharacteristic
1465C23#53911yescharacteristic
1466C23#53911yescharacteristic
1467C23#53911yescharacteristic
1468C23#53911yescharacteristic
1469C23#53911yescharacteristic
1470C23#53911yescharacteristic
1471C23#54011yescharacteristic
1472C23#54011yescharacteristic
1473C23#54011yescharacteristic
1474C23#54011yescharacteristic
1475C23#54011yescharacteristic
1476C23#54111yescharacteristic
1477C23#54211yescharacteristic
1478C23#54211yescharacteristic
1479C23#54211yescharacteristic
1480C23#54211yescharacteristic
1481C23#54211yescharacteristic
1482C23#54211yescharacteristic
1483C23#54211yescharacteristic
1484C23#54211yescharacteristic
1485C23D4211yescharacteristic
1486C23D4211yescharacteristic
1487C23D4211yescharacteristic
1488C23D4211yescharacteristic
1489C23#54611yescharacteristic
1490C23#54611yescharacteristic
1491C23#54611yescharacteristic
1492C23#54611yescharacteristic
1493C23#54611yescharacteristic
1494C23#54611yescharacteristic
1495C23#54611yescharacteristic
1496C23#54611yescharacteristic
1497C23#54611yescharacteristic
1498C23#54611yescharacteristic
1499C23#54611yescharacteristic
1500C23#54611yescharacteristic
1501C23#54611yescharacteristic
1502C23#54711yescharacteristic
1503C23#54711yescharacteristic
1504C23#54711yescharacteristic
1505C23#54811yescharacteristic
1506C23#54811yescharacteristic
1507C23#54811yescharacteristic
1508C23#54811yescharacteristic
1509C23#54811yescharacteristic
1510C23#55011yescharacteristic
1511C23#55011yescharacteristic
1512C23#55011yescharacteristic
1513C23#55111yescharacteristic
1514C23#55111yescharacteristic
1515C23#55111yescharacteristic
1516C23#55111yescharacteristic
1517C23#55111yescharacteristic
1518C23#55111yescharacteristic
1519C23#55111yescharacteristic
1520C23#55111yescharacteristic
1521C23#55111yescharacteristic
1522C23#55111yescharacteristic
1523C23#55111yescharacteristic
1524C23#55211yescharacteristic
1525C23#55211yescharacteristic
1526C23#55211yescharacteristic
1527C23#55211yescharacteristic
1528C23#55211yescharacteristic
1529C23#55211yescharacteristic
1530C23#55211yescharacteristic
1531C23#55211yescharacteristic
1532C23#55211yescharacteristic
1533C23#55311yescharacteristic
1534C23#55311yescharacteristic
1535C23#55311yescharacteristic
1536C23#55311yescharacteristic
1537C23#55311yescharacteristic
1538C23#55311yescharacteristic
1539C23#55311yescharacteristic
1540C23#55311yescharacteristic
1541C23#55311yescharacteristic
1542C23#55311yescharacteristic
1543C23#55311yescharacteristic
1544C23#55311yescharacteristic
1545C23#55311yescharacteristic
1546C23#55311yescharacteristic
1547C23#55311yescharacteristic
1548C23#55511yescharacteristic
1549C23#55611yescharacteristic
1550C23#55611yescharacteristic
1551C23#55611yescharacteristic
1552C23#55611yescharacteristic
1553C23#55611yescharacteristic
1554C23#55611yescharacteristic
1555C23#55611yescharacteristic
1556C23#55911yescharacteristic
1557C23#56011yescharacteristic
1558C23H(3,𝔽4)11yescharacteristic
1559C23#56211yescharacteristic
1560C23#56211yescharacteristic
1561C23#56211yescharacteristic
1562C23#56211yescharacteristic
1563C23#56311yescharacteristic
1564C23#56311yescharacteristic
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
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—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—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—
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—
1775C22—44no—
1776C22—44no—
1777C22—44no—
1778C22—44no—
1779C22—44no—
1780C22—44no—
1781C22—44no—
1782C22—82no—
1783C22—82no—
1784C22—82no—
1785C22—82no—
1786C22—82no—
1787C22—82no—
1788C22—82no—
1789C22—82no—
1790C22—82no—
1791C22—82no—
1792C22—82no—
1793C22—82no—
1794C22—82no—
1795C22—82no—
1796C22—82no—
1797C22—82no—
1798C22—82no—
1799C22—82no—
1800C22—82no—
1801C22—82no—
1802C22—82no—
1803C22—82no—
1804C22—82no—
1805C22—82no—
1806C22#228011yescharacteristic
1807C22#229011yescharacteristic
1808C22#229311yescharacteristic
1809C22#229711yescharacteristic
1810C22C4×#12111yescharacteristic
1811C22C4×#12611yescharacteristic
1812C22#231111yescharacteristic
1813C22#231811yescharacteristic
1814C22#231911yescharacteristic
1815C22#232211yescharacteristic
1816C22#232611yescharacteristic
1817C22#233311yescharacteristic
1818C22#233411yescharacteristic
1819C22#233511yescharacteristic
1820C22#233711yescharacteristic
1821C22D4×C22⋊C411yescharacteristic
1822C22D4×C22⋊C411yescharacteristic
1823C22#233911yescharacteristic
1824C22#234111yescharacteristic
1825C22#234311yescharacteristic
1826C22#234311yescharacteristic
1827C22#234711yescharacteristic
1828C22#234711yescharacteristic
1829C22#235211yescharacteristic
1830C22#235211yescharacteristic
1831C22#235311yescharacteristic
1832C22#235311yescharacteristic
1833C22#235911yescharacteristic
1834C22#236311yescharacteristic
1835C22#236411yescharacteristic
1836C22#236711yescharacteristic
1837C22#237311yescharacteristic
1838C22#237311yescharacteristic
1839C22#237611yescharacteristic
1840C22#237911yescharacteristic
1841C22#241111yescharacteristic
1842C22#241511yescharacteristic
1843C22#242411yescharacteristic
1844C22#242811yescharacteristic
1845C22#245611yescharacteristic
1846C22#245611yescharacteristic
1847C22#245611yescharacteristic
1848C22#245711yescharacteristic
1849C22#245711yescharacteristic
1850C22#245711yescharacteristic
1851C22#246011yescharacteristic
1852C22#246011yescharacteristic
1853C22#246011yescharacteristic
1854C22#246111yescharacteristic
1855C22#246111yescharacteristic
1856C22#246311yescharacteristic
1857C22#246311yescharacteristic
1858C22#246411yescharacteristic
1859C22#246411yescharacteristic
1860C22#246411yescharacteristic
1861C22#246411yescharacteristic
1862C22#246711yescharacteristic
1863C22#246711yescharacteristic
1864C22#246711yescharacteristic
1865C22#246811yescharacteristic
1866C22#246811yescharacteristic
1867C22#246911yescharacteristic
1868C22#247011yescharacteristic
1869C22#247611yescharacteristic
1870C22#247711yescharacteristic
1871C22#247711yescharacteristic
1872C22#247911yescharacteristic
1873C22#248011yescharacteristic
1874C22#248111yescharacteristic
1875C22#249411yescharacteristic
1876C22#251011yescharacteristic
1877C22#251211yescharacteristic
1878C22#251211yescharacteristic
1879C22#251611yescharacteristic
1880C22#251811yescharacteristic
1881C22#251911yescharacteristic
1882C22#252111yescharacteristic
1883C22#252511yescharacteristic
1884C22#252711yescharacteristic
1885C22#253011yescharacteristic
1886C22#253211yescharacteristic
1887C22#254311yescharacteristic
1888C22#254511yescharacteristic
1889C22#255411yescharacteristic
1890C22#255411yescharacteristic
1891C22#255511yescharacteristic
1892C22#255811yescharacteristic
1893C22#255911yescharacteristic
1894C22#255911yescharacteristic
1895C22#256011yescharacteristic
1896C22#256011yescharacteristic
1897C22#257311yescharacteristic
1898C22#259411yescharacteristic
1899C22#259611yescharacteristic
1900C22#259711yescharacteristic
1901C22#259811yescharacteristic
1902C22#259811yescharacteristic
1903C22#259911yescharacteristic
1904C22#259911yescharacteristic
1905C22#260111yescharacteristic
1906C22#260111yescharacteristic
1907C22#260111yescharacteristic
1908C22#260111yescharacteristic
1909C22#260211yescharacteristic
1910C22#260311yescharacteristic
1911C22#260411yescharacteristic
1912C22#261111yescharacteristic
1913C22#267011yescharacteristic
1914C22#267211yescharacteristic
1915C22#267311yescharacteristic
1916C22#267411yescharacteristic
1917C22#267411yescharacteristic
1918C22#267611yescharacteristic
1919C22#268111yescharacteristic
1920C22#268211yescharacteristic
1921C22#268411yescharacteristic
1922C22#269011yescharacteristic
1923C22#269411yescharacteristic
1924C22#269411yescharacteristic
1925C22#269611yescharacteristic
1926C22#270011yescharacteristic
1927C22#270011yescharacteristic
1928C22#270311yescharacteristic
1929C22#270511yescharacteristic
1930C22#270711yescharacteristic
1931C22#271011yescharacteristic
1932C22#271111yescharacteristic
1933C22#271211yescharacteristic
1934C22#271511yescharacteristic
1935C22#271611yescharacteristic
1936C22#273011yescharacteristic
1937C22#273511yescharacteristic
1938C22#274011yescharacteristic
1939C22#274111yescharacteristic
1940C22#274111yescharacteristic
1941C22#274311yescharacteristic
1942C22#274411yescharacteristic
1943C22#274511yescharacteristic
1944C22#275311yescharacteristic
1945C22#275311yescharacteristic
1946C22#275911yescharacteristic
1947C22#276111yescharacteristic
1948C22#276511yescharacteristic
1949C22#277011yescharacteristic
1950C22#277211yescharacteristic
1951C22#277711yescharacteristic
1952C22#277811yescharacteristic
1953C22#278111yescharacteristic
1954C22#278211yescharacteristic
1955C22#278611yescharacteristic
1956C22#279311yescharacteristic
1957C22#280011yescharacteristic
1958C22#280011yescharacteristic
1959C22#280011yescharacteristic
1960C22#280111yescharacteristic
1961C4—44no—
1962C4—44no—
1963C4—44no—
1964C4—44no—
1965C4—44no—
1966C4—44no—
1967C4—44no—
1968C4—44no—
1969C4—82no—
1970C4—82no—
1971C4—82no—
1972C4—82no—
1973C4—82no—
1974C4—82no—
1975C2—84no—
1976C2#1389011yescharacteristic
1977C2#1391211yescharacteristic
1978C2#1393811yescharacteristic
1979C2#1401311yescharacteristic
1980C2#1403811yescharacteristic
1981C2#1407711yescharacteristic
1982C2#1408011yescharacteristic
1983C2#1410011yescharacteristic
1984C2#1410111yescharacteristic
1985C2#1436011yescharacteristic
1986C2#1439311yescharacteristic
1987C2#1442111yescharacteristic
1988C2#1443411yescharacteristic
1989C2#1448411yescharacteristic
1990C2#1449711yescharacteristic
1991C2#1541811yescharacteristic
1992C2#1542211yescharacteristic
1993C2#1542711yescharacteristic
1994C2#1544411yescharacteristic
1995C2#1544611yescharacteristic
1996C2#1546111yescharacteristic
1997C2#1566011yescharacteristic
1998C2#1566111yescharacteristic
1999C2#1566511yescharacteristic
2000C2#1566611yescharacteristic
2001C2#1572511yescharacteristic
2002C2#1572611yescharacteristic
2003C2#1573311yescharacteristic
2004C2#1573411yescharacteristic
2005C2#1604611yescharacteristic
2006C2#1608311yescharacteristic
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×#1443C2semidirect
3. C2×#1441C2semidirect
6. C2×#1436C2semidirect
7. C2×#1434C2semidirect
8. #7557C2semidirect
9. #7556C2semidirect
14. #7554C2semidirect
15. #7554C2semidirect
29. C2×#388C4semidirect
567. #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×#14432
C2×#14412
C2×#14392
C2×#14372
C2×#14362
C2×#14342
#75572
#75562
#75552
#75542