Finite Group Databasebeta

← #155295

Subgroups — #155295

Order 512.

3570 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#388C211yesmaximal, characteristic
2C2×#1442C211yesmaximal, characteristic, complemented
3C2×#1440C211yesmaximal, characteristic
4C2×#1439C211yesmaximal, characteristic
5C2×#1439C211yesmaximal, characteristic
6C2×#1437C211yesmaximal, characteristic
7C2×#1436C211yesmaximal, characteristic, complemented
8C2×#1436C211yesmaximal, characteristic, complemented
9C2×C4⋊#95C211yesmaximal, characteristic, complemented
10#7557C211yesmaximal, characteristic, complemented
11#7556C211yesmaximal, characteristic, complemented
12#7556C211yesmaximal, characteristic, complemented
13#7555C211yesmaximal, characteristic
14#7555C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic, complemented
16C23×C4⋊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×C22⋊C4C2211yescharacteristic
26C23×C42C2211yescharacteristic
27C23×C42C2211yescharacteristic
28C2×#388—24no—
29C2×#388—24no—
30C2×#388—24no—
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#1439—24no—
57#1439C418yescomplemented
58#1437—24no—
59#1436—24no—
60#1436—24no—
61C4⋊#95—24no—
62C26C2311yescharacteristic
63C24×C4C2311yescharacteristic
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2311yescharacteristic
67C24×C4C2311yescharacteristic
68C24×C4C2311yescharacteristic
69C24×C4C2311yescharacteristic
70C24×C4C2311yescharacteristic
71C24×C4C2311yescharacteristic
72C24×C4C2311yescharacteristic
73C24×C4C2311yescharacteristic
74C24×C4C2311yescharacteristic
75C24×C4C2311yescharacteristic
76C24×C4C2311yescharacteristic
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—22no—
85C22×C4⋊C4—22no—
86C22×C4⋊C4—22no—
87C22×C4⋊C4—22no—
88C22×C4⋊C4—22no—
89C22×C4⋊C4—22no—
90C22×C4⋊C4—41no—
91C22×C4⋊C4—41no—
92C22×C4⋊C4—41no—
93C22×C4⋊C4—41no—
94C22×C4⋊C4—41no—
95C22×C4⋊C4—41no—
96C22×C4⋊C4C2×C414yes—
97C22×C4⋊C4D414yes—
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—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—41no—
130C22×C22⋊C4—41no—
131C22×C22⋊C4—41no—
132C22×C22⋊C4—41no—
133C22×C22⋊C4—41no—
134C22×C22⋊C4—41no—
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×C42—22no—
148C22×C42—22no—
149C22×C42—22no—
150C22×C42—22no—
151C22×C42—22no—
152C22×C42—22no—
153C22×C42—22no—
154C22×C42—22no—
155C22×C42—22no—
156C22×C42—22no—
157C22×C42—41no—
158C22×C42—41no—
159C22×C42—41no—
160C22×C42—41no—
161#388—232no—
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—22no—
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×#95C2×C414yes—
226C2×#95C2×C414yes—
227C2×#95C2×C414yes—
228C2×#95D414yes—
229C2×#95D414yes—
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—
255C25—21no—
256C25—21no—
257C25—21no—
258C25—21no—
259C25C22×C412yes—
260C25C2×D412yes—
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—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×C4—21no—
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—21no—
441C23×C4C22×C412yes—
442C23×C4C22×C412yes—
443C23×C4C22×C412yes—
444C23×C4C22×C412yes—
445C23×C4C22×C412yes—
446C23×C4C22×C412yes—
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×C4C2×D412yes—
456C23×C4C2×D412yes—
457C23×C4C2×D412yes—
458C23×C4C2×D412yes—
459C23×C4C2×D412yes—
460C23×C4C2×D412yes—
461C23×C4#4112yes—
462C23×C4#4112yes—
463C23×C4#4112yes—
464C23×C4#4112yes—
465C23×C4#4112yes—
466C23×C4#4112yes—
467C23×C4#4112yes—
468C23×C4#4112yes—
469C23×C4#4112yes—
470C23×C4#4112yes—
471C23×C4#4112yes—
472C23×C4#4112yes—
473C2×C4⋊C4—28no—
474C2×C4⋊C4—28no—
475C2×C4⋊C4—28no—
476C2×C4⋊C4—28no—
477C2×C4⋊C4—28no—
478C2×C4⋊C4—44no—
479C2×C4⋊C4—44no—
480C2×C4⋊C4—44no—
481C2×C4⋊C4—44no—
482C2×C4⋊C4—44no—
483C2×C4⋊C4—44no—
484C2×C4⋊C4—44no—
485C2×C4⋊C4—44no—
486C2×C4⋊C4—44no—
487C2×C4⋊C4—44no—
488C2×C4⋊C4—44no—
489C2×C4⋊C4—44no—
490C2×C4⋊C4—44no—
491C2×C4⋊C4—44no—
492C2×C4⋊C4—44no—
493C2×C4⋊C4—44no—
494C2×C22⋊C4—28no—
495C2×C22⋊C4—28no—
496C2×C22⋊C4—28no—
497C2×C22⋊C4—28no—
498C2×C22⋊C4—28no—
499C2×C22⋊C4—28no—
500C2×C22⋊C4—28no—
501C2×C22⋊C4—28no—
502C2×C22⋊C4—28no—
503C2×C22⋊C4—28no—
504C2×C22⋊C4—28no—
505C2×C22⋊C4—28no—
506C2×C22⋊C4—28no—
507C2×C22⋊C4—28no—
508C2×C22⋊C4—28no—
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×C22⋊C4—44no—
531C2×C22⋊C4—44no—
532C2×C22⋊C4—44no—
533C2×C22⋊C4—44no—
534C2×C22⋊C4—44no—
535C2×C22⋊C4—44no—
536C2×C22⋊C4—44no—
537C2×C22⋊C4—44no—
538C2×C22⋊C4—44no—
539C2×C22⋊C4—44no—
540C2×C22⋊C4—44no—
541C2×C22⋊C4—44no—
542C2×C22⋊C4—44no—
543C2×C42—28no—
544C2×C42—28no—
545C2×C42—44no—
546C2×C42—44no—
547C2×C42—44no—
548C2×C42—44no—
549C2×C42—44no—
550C2×C42—44no—
551C2×C42—44no—
552C2×C42—44no—
553C2×C42—44no—
554C2×C42—44no—
555C2×C42—44no—
556C2×C42—44no—
557#95—28no—
558#95—28no—
559#95—28no—
560#95—28no—
561#95—28no—
562#95—28no—
563#95—28no—
564#95—44no—
565#95—44no—
566#95—44no—
567#95—44no—
568#95—44no—
569#95—44no—
570#95—44no—
571#95—44no—
572#95—44no—
573#95—44no—
574#95—44no—
575#95—44no—
576#95—44no—
577#95—44no—
578#95—44no—
579#95—44no—
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—22no—
611C24—22no—
612C24—22no—
613C24—22no—
614C24—22no—
615C24—22no—
616C24—22no—
617C24—22no—
618C24—22no—
619C24—22no—
620C24—22no—
621C24—22no—
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—41no—
723C24—41no—
724C24—41no—
725C24—41no—
726C24—41no—
727C24—41no—
728C24—41no—
729C24—41no—
730C24—41no—
731C24—41no—
732C24—41no—
733C24—41no—
734C24C4×D414yes—
735C24C23×C411yescharacteristic
736C24C22×D411yescharacteristic
737C24C22×D411yescharacteristic
738C24C22×D411yescharacteristic
739C24C22×D411yescharacteristic
740C24C22×D411yescharacteristic
741C24C2×#4111yescharacteristic
742C24C2×#4111yescharacteristic
743C24C2×#4111yescharacteristic
744C24C2×#4111yescharacteristic
745C24C2×#4111yescharacteristic
746C24C2×#4111yescharacteristic
747C24C2×#4111yescharacteristic
748C24C2×#4111yescharacteristic
749C24C2×#4111yescharacteristic
750C24C2×#4111yescharacteristic
751C24C2×#4111yescharacteristic
752C24C2×#4111yescharacteristic
753C24C2×#4111yescharacteristic
754C24H(5,𝔽2)11yescharacteristic
755C24H(5,𝔽2)11yescharacteristic
756C24H(5,𝔽2)11yescharacteristic
757C24H(5,𝔽2)11yescharacteristic
758C24H(5,𝔽2)11yescharacteristic
759C24H(5,𝔽2)11yescharacteristic
760C24H(5,𝔽2)11yescharacteristic
761C242−1+411yescharacteristic
762C242−1+411yescharacteristic
763C242−1+411yescharacteristic
764C242−1+411yescharacteristic
765C242−1+411yescharacteristic
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—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—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×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4#11714yes—
1244C22×C4C4×D414yes—
1245C22×C4C4×D414yes—
1246C22×C4C4×D414yes—
1247C22×C4C4×D414yes—
1248C22×C4#12014yes—
1249C22×C4#12114yes—
1250C22×C4#12114yes—
1251C22×C4#12114yes—
1252C22×C4#12314yes—
1253C22×C4#12414yes—
1254C22×C4#12614yes—
1255C22×C4#12614yes—
1256C4⋊C4—416no—
1257C4⋊C4—416no—
1258C4⋊C4—416no—
1259C22⋊C4—232no—
1260C22⋊C4—416no—
1261C22⋊C4—416no—
1262C22⋊C4—416no—
1263C22⋊C4—416no—
1264C22⋊C4—416no—
1265C22⋊C4—416no—
1266C42—416no—
1267C42—416no—
1268C23—24no—
1269C23—24no—
1270C23—24no—
1271C23—24no—
1272C23—24no—
1273C23—24no—
1274C23—24no—
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—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—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—
1410C23—81no—
1411C23—81no—
1412C23—81no—
1413C23—81no—
1414C23—81no—
1415C23—81no—
1416C23—81no—
1417C23—81no—
1418C23—81no—
1419C23—81no—
1420C23—81no—
1421C23—81no—
1422C23—81no—
1423C23C2×#11711yescharacteristic
1424C23C2×C4×D411yescharacteristic
1425C23C2×C4×D411yescharacteristic
1426C23C2×C4×D411yescharacteristic
1427C23C2×C4×D411yescharacteristic
1428C23C2×C4×D411yescharacteristic
1429C23C4×#4111yescharacteristic
1430C23C4×#4111yescharacteristic
1431C23C4×#4111yescharacteristic
1432C23#51811yescharacteristic
1433C23#51811yescharacteristic
1434C23#51911yescharacteristic
1435C23#52011yescharacteristic
1436C23#52011yescharacteristic
1437C23#52011yescharacteristic
1438C23C2×#12011yescharacteristic
1439C23C2×#12111yescharacteristic
1440C23C2×#12111yescharacteristic
1441C23C2×#12111yescharacteristic
1442C23C2×#12311yescharacteristic
1443C23#52511yescharacteristic
1444C23#52511yescharacteristic
1445C23#52511yescharacteristic
1446C23#52511yescharacteristic
1447C23#52511yescharacteristic
1448C23#52511yescharacteristic
1449C23#52511yescharacteristic
1450C23C2×#12411yescharacteristic
1451C23C2×#12611yescharacteristic
1452C23C2×#12611yescharacteristic
1453C23#52911yescharacteristic
1454C23#52911yescharacteristic
1455C23#52911yescharacteristic
1456C23#52911yescharacteristic
1457C23#52911yescharacteristic
1458C23#52911yescharacteristic
1459C23#52911yescharacteristic
1460C23#53211yescharacteristic
1461C23#53211yescharacteristic
1462C23#53411yescharacteristic
1463C23#53411yescharacteristic
1464C23#53511yescharacteristic
1465C23#53511yescharacteristic
1466C23#53611yescharacteristic
1467C23#53611yescharacteristic
1468C23#53611yescharacteristic
1469C23#53711yescharacteristic
1470C23#53711yescharacteristic
1471C23#53711yescharacteristic
1472C23#53811yescharacteristic
1473C23#53811yescharacteristic
1474C23#53811yescharacteristic
1475C23#53811yescharacteristic
1476C23#53811yescharacteristic
1477C23#53811yescharacteristic
1478C23#53911yescharacteristic
1479C23#53911yescharacteristic
1480C23#53911yescharacteristic
1481C23#53911yescharacteristic
1482C23#53911yescharacteristic
1483C23#53911yescharacteristic
1484C23#53911yescharacteristic
1485C23#53911yescharacteristic
1486C23#54011yescharacteristic
1487C23#54011yescharacteristic
1488C23#54111yescharacteristic
1489C23#54111yescharacteristic
1490C23#54111yescharacteristic
1491C23#54211yescharacteristic
1492C23#54211yescharacteristic
1493C23#54211yescharacteristic
1494C23#54211yescharacteristic
1495C23#54211yescharacteristic
1496C23#54211yescharacteristic
1497C23#54211yescharacteristic
1498C23D4211yescharacteristic
1499C23D4211yescharacteristic
1500C23D4211yescharacteristic
1501C23D4211yescharacteristic
1502C23#54611yescharacteristic
1503C23#54611yescharacteristic
1504C23#54611yescharacteristic
1505C23#54611yescharacteristic
1506C23#54611yescharacteristic
1507C23#54611yescharacteristic
1508C23#54611yescharacteristic
1509C23#54611yescharacteristic
1510C23#54611yescharacteristic
1511C23#54611yescharacteristic
1512C23#54611yescharacteristic
1513C23#54611yescharacteristic
1514C23#54711yescharacteristic
1515C23#54711yescharacteristic
1516C23#54711yescharacteristic
1517C23#54711yescharacteristic
1518C23#54711yescharacteristic
1519C23#54711yescharacteristic
1520C23#54711yescharacteristic
1521C23#54711yescharacteristic
1522C23#54711yescharacteristic
1523C23#54711yescharacteristic
1524C23#54811yescharacteristic
1525C23#54811yescharacteristic
1526C23#54811yescharacteristic
1527C23#54811yescharacteristic
1528C23#54811yescharacteristic
1529C23#54811yescharacteristic
1530C23#55011yescharacteristic
1531C23#55011yescharacteristic
1532C23#55011yescharacteristic
1533C23#55011yescharacteristic
1534C23#55111yescharacteristic
1535C23#55111yescharacteristic
1536C23#55111yescharacteristic
1537C23#55111yescharacteristic
1538C23#55211yescharacteristic
1539C23#55211yescharacteristic
1540C23#55211yescharacteristic
1541C23#55211yescharacteristic
1542C23#55211yescharacteristic
1543C23#55211yescharacteristic
1544C23#55211yescharacteristic
1545C23#55211yescharacteristic
1546C23#55211yescharacteristic
1547C23#55311yescharacteristic
1548C23#55311yescharacteristic
1549C23#55311yescharacteristic
1550C23#55311yescharacteristic
1551C23#55311yescharacteristic
1552C23#55311yescharacteristic
1553C23#55311yescharacteristic
1554C23#55311yescharacteristic
1555C23#55311yescharacteristic
1556C23#55511yescharacteristic
1557C23#55511yescharacteristic
1558C23#55511yescharacteristic
1559C23#55511yescharacteristic
1560C23#55611yescharacteristic
1561C23#55611yescharacteristic
1562C23#55611yescharacteristic
1563C23#55611yescharacteristic
1564C23#55611yescharacteristic
1565C23#55911yescharacteristic
1566C23#55911yescharacteristic
1567C23#55911yescharacteristic
1568C23#55911yescharacteristic
1569C23#55911yescharacteristic
1570C23H(3,𝔽4)11yescharacteristic
1571C23#56211yescharacteristic
1572C23#56211yescharacteristic
1573C23#56211yescharacteristic
1574C23#56211yescharacteristic
1575C23#56311yescharacteristic
1576C23#56311yescharacteristic
1577C23#56311yescharacteristic
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—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
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—42no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
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—
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#38818yescomplemented
1788C22—44no—
1789C22—44no—
1790C22—44no—
1791C22—44no—
1792C22—44no—
1793C22—44no—
1794C22—44no—
1795C22—82no—
1796C22—82no—
1797C22—82no—
1798C22—82no—
1799C22—82no—
1800C22—82no—
1801C22—82no—
1802C22—82no—
1803C22—82no—
1804C22—82no—
1805C22—82no—
1806C22—82no—
1807C22—82no—
1808C22—82no—
1809C22—82no—
1810C22—82no—
1811C22—82no—
1812C22—82no—
1813C22—82no—
1814C22—82no—
1815C22—82no—
1816C22—82no—
1817C22—82no—
1818C22—82no—
1819C22C2×#38811yescharacteristic
1820C22#229011yescharacteristic
1821C22C4×#12011yescharacteristic
1822C22C4×#12111yescharacteristic
1823C22C4×#12111yescharacteristic
1824C22C4×#12611yescharacteristic
1825C22#231811yescharacteristic
1826C22#232111yescharacteristic
1827C22#232211yescharacteristic
1828C22#232311yescharacteristic
1829C22#232311yescharacteristic
1830C22#232411yescharacteristic
1831C22#233211yescharacteristic
1832C22#233411yescharacteristic
1833C22#233511yescharacteristic
1834C22#234411yescharacteristic
1835C22#234611yescharacteristic
1836C22#235411yescharacteristic
1837C22#235711yescharacteristic
1838C22#235811yescharacteristic
1839C22#235911yescharacteristic
1840C22#235911yescharacteristic
1841C22#235911yescharacteristic
1842C22#236111yescharacteristic
1843C22#236111yescharacteristic
1844C22#236211yescharacteristic
1845C22#236211yescharacteristic
1846C22#236311yescharacteristic
1847C22#236411yescharacteristic
1848C22#236411yescharacteristic
1849C22#236611yescharacteristic
1850C22#236711yescharacteristic
1851C22#236711yescharacteristic
1852C22#237811yescharacteristic
1853C22#237911yescharacteristic
1854C22#240611yescharacteristic
1855C22#240711yescharacteristic
1856C22#241011yescharacteristic
1857C22#241011yescharacteristic
1858C22#241411yescharacteristic
1859C22#241411yescharacteristic
1860C22#241511yescharacteristic
1861C22#241611yescharacteristic
1862C22#242411yescharacteristic
1863C22#242511yescharacteristic
1864C22#242511yescharacteristic
1865C22#242511yescharacteristic
1866C22#242611yescharacteristic
1867C22#242711yescharacteristic
1868C22#243111yescharacteristic
1869C22#243211yescharacteristic
1870C22#244311yescharacteristic
1871C22#244411yescharacteristic
1872C22#244511yescharacteristic
1873C22#244811yescharacteristic
1874C22#245511yescharacteristic
1875C22#245611yescharacteristic
1876C22#245611yescharacteristic
1877C22#245811yescharacteristic
1878C22#245911yescharacteristic
1879C22#245911yescharacteristic
1880C22#246011yescharacteristic
1881C22#246311yescharacteristic
1882C22#246611yescharacteristic
1883C22#246711yescharacteristic
1884C22#247211yescharacteristic
1885C22#247411yescharacteristic
1886C22#247411yescharacteristic
1887C22#247511yescharacteristic
1888C22#247511yescharacteristic
1889C22#247611yescharacteristic
1890C22#247811yescharacteristic
1891C22#247911yescharacteristic
1892C22#248011yescharacteristic
1893C22#248111yescharacteristic
1894C22#248111yescharacteristic
1895C22#248111yescharacteristic
1896C22#248511yescharacteristic
1897C22#248611yescharacteristic
1898C22#248811yescharacteristic
1899C22#248911yescharacteristic
1900C22#249111yescharacteristic
1901C22#249511yescharacteristic
1902C22#249611yescharacteristic
1903C22#249611yescharacteristic
1904C22#251011yescharacteristic
1905C22#251211yescharacteristic
1906C22#251211yescharacteristic
1907C22#251311yescharacteristic
1908C22#251311yescharacteristic
1909C22#252511yescharacteristic
1910C22#252711yescharacteristic
1911C22#252911yescharacteristic
1912C22#253611yescharacteristic
1913C22#253711yescharacteristic
1914C22#254811yescharacteristic
1915C22#255711yescharacteristic
1916C22#255811yescharacteristic
1917C22#257511yescharacteristic
1918C22#259211yescharacteristic
1919C22#259311yescharacteristic
1920C22#259411yescharacteristic
1921C22#259611yescharacteristic
1922C22#259911yescharacteristic
1923C22#260211yescharacteristic
1924C22#260211yescharacteristic
1925C22#260911yescharacteristic
1926C22#267011yescharacteristic
1927C22#267111yescharacteristic
1928C22#267111yescharacteristic
1929C22#267211yescharacteristic
1930C22#267411yescharacteristic
1931C22#267611yescharacteristic
1932C22#268111yescharacteristic
1933C22#268111yescharacteristic
1934C22#268611yescharacteristic
1935C22#269411yescharacteristic
1936C22#269411yescharacteristic
1937C22#269611yescharacteristic
1938C22#270111yescharacteristic
1939C22#270211yescharacteristic
1940C22#270711yescharacteristic
1941C22#270811yescharacteristic
1942C22#271011yescharacteristic
1943C22#271211yescharacteristic
1944C22#271211yescharacteristic
1945C22#271611yescharacteristic
1946C22#271611yescharacteristic
1947C22#271611yescharacteristic
1948C22#271811yescharacteristic
1949C22#271811yescharacteristic
1950C22#271811yescharacteristic
1951C22#272111yescharacteristic
1952C22#272111yescharacteristic
1953C22#272411yescharacteristic
1954C22#272511yescharacteristic
1955C22#272711yescharacteristic
1956C22#273011yescharacteristic
1957C22#273311yescharacteristic
1958C22#275011yescharacteristic
1959C22#275111yescharacteristic
1960C22#275311yescharacteristic
1961C22#276511yescharacteristic
1962C22#277111yescharacteristic
1963C22#277211yescharacteristic
1964C22#277311yescharacteristic
1965C22#277511yescharacteristic
1966C22#277911yescharacteristic
1967C22#278111yescharacteristic
1968C22#278311yescharacteristic
1969C22#278511yescharacteristic
1970C22#279811yescharacteristic
1971C22#279811yescharacteristic
1972C22#279811yescharacteristic
1973C22#280011yescharacteristic
1974C4—28no—
1975C4—44no—
1976C4—44no—
1977C4—44no—
1978C4—44no—
1979C4—44no—
1980C4—44no—
1981C4—82no—
1982C4—82no—
1983C4—82no—
1984C4—82no—
1985C4—82no—
1986C4—82no—
1987C4—82no—
1988C2—84no—
1989C2#1399411yescharacteristic
1990C2#1402211yescharacteristic
1991C2#1403711yescharacteristic
1992C2#1406311yescharacteristic
1993C2#1414011yescharacteristic
1994C2#1418511yescharacteristic
1995C2#1418711yescharacteristic
1996C2#1420611yescharacteristic
1997C2#1420911yescharacteristic
1998C2#1438411yescharacteristic
1999C2#1439911yescharacteristic
2000C2#1452911yescharacteristic
2001C2#1453711yescharacteristic
2002C2#1454011yescharacteristic
2003C2#1455611yescharacteristic
2004C2#1527111yescharacteristic
2005C2#1527411yescharacteristic
2006C2#1531711yescharacteristic
2007C2#1544511yescharacteristic
2008C2#1544711yescharacteristic
2009C2#1545211yescharacteristic
2010C2#1545911yescharacteristic
2011C2#1553211yescharacteristic
2012C2#1558411yescharacteristic
2013C2#1560511yescharacteristic
2014C2#1578011yescharacteristic
2015C2#1584011yescharacteristic
2016C2#1584511yescharacteristic
2017C2#1592811yescharacteristic
2018C2#1597011yescharacteristic
2019C2#1603611yescharacteristic
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
7. C2×#1436C2semidirect
8. C2×#1436C2semidirect
9. C2×C4⋊#95C2semidirect
10. #7557C2semidirect
11. #7556C2semidirect
12. #7556C2semidirect
15. #7554C2semidirect
57. #1439C4semidirect
1787. C2×C4#388semidirect

Maximal subgroups

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

subgroupindex
C22×#3882
C2×#14422
C2×#14402
C2×#14392
C2×#14372
C2×#14362
C2×C4⋊#952
#75572
#75562
#75552
#75542