Finite Group Databasebeta

← #155698

Subgroups — #155698

Order 512.

3190 conjugacy classes of subgroups.

The subgroup lattice has 1994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#1442C211yesmaximal, characteristic, complemented
2C2×#1440C211yesmaximal, characteristic
3C2×#1439C211yesmaximal, characteristic
4C2×#1439C211yesmaximal, characteristic
5C2×#1437C211yesmaximal, characteristic
6C2×C4⋊#95C211yesmaximal, characteristic, complemented
7C2×#1434C211yesmaximal, characteristic, complemented
8#7557C211yesmaximal, characteristic, complemented
9#7556C211yesmaximal, characteristic, complemented
10#7556C211yesmaximal, characteristic, complemented
11#7556C211yesmaximal, characteristic, complemented
12#7556C211yesmaximal, characteristic, complemented
13#7555C211yesmaximal, characteristic
14#7555C211yesmaximal, characteristic
15#7555C211yesmaximal, characteristic
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
26C22×#95C2211yescharacteristic
27C22×#95C2211yescharacteristic
28C22×#95C2211yescharacteristic
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
51#1442—24no—
52#1440—24no—
53#1439—24no—
54#1439—24no—
55#1437C418yescomplemented
56C4⋊#95—24no—
57#1434—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—22no—
81C22×C4⋊C4—22no—
82C22×C4⋊C4—22no—
83C22×C4⋊C4—41no—
84C22×C4⋊C4—41no—
85C22×C4⋊C4—41no—
86C22×C4⋊C4—41no—
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—22no—
139C22×C42—22no—
140C22×C42—41no—
141C22×C42—41no—
142C22×C42C2×C414yes—
143C2×#95—22no—
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—41no—
175C2×#95—41no—
176C2×#95—41no—
177C2×#95—41no—
178C2×#95—41no—
179C2×#95—41no—
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×#95C2×C414yes—
213C2×#95C2×C414yes—
214C2×#95C2×C414yes—
215C2×#95D414yes—
216C2×#95D414yes—
217C2×#95D414yes—
218C25—21no—
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—
246C25C22×C412yes—
247C25#4112yes—
248C25#4112yes—
249C25C2411yescharacteristic
250C23×C4—21no—
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×C4C22×C412yes—
437C23×C4C22×C412yes—
438C23×C4C22×C412yes—
439C23×C4C22×C412yes—
440C23×C4C22×C412yes—
441C23×C4C22×C412yes—
442C23×C4C2×D412yes—
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×C4#4112yes—
452C23×C4#4112yes—
453C23×C4#4112yes—
454C23×C4#4112yes—
455C23×C4#4112yes—
456C23×C4#4112yes—
457C23×C4#4112yes—
458C23×C4#4112yes—
459C23×C4#4112yes—
460C2×C4⋊C4—28no—
461C2×C4⋊C4—28no—
462C2×C4⋊C4—44no—
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×C22⋊C4—28no—
475C2×C22⋊C4—28no—
476C2×C22⋊C4—28no—
477C2×C22⋊C4—28no—
478C2×C22⋊C4—28no—
479C2×C22⋊C4—28no—
480C2×C22⋊C4—44no—
481C2×C22⋊C4—44no—
482C2×C22⋊C4—44no—
483C2×C22⋊C4—44no—
484C2×C22⋊C4—44no—
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×C42—28no—
524C2×C42—28no—
525C2×C42—44no—
526C2×C42—44no—
527C2×C42—44no—
528C2×C42—44no—
529C2×C42—44no—
530#95—28no—
531#95—28no—
532#95—28no—
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—
555C24—22no—
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—41no—
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#11714yes—
710C24C23×C411yescharacteristic
711C24C22×D411yescharacteristic
712C24C22×D411yescharacteristic
713C24C22×D411yescharacteristic
714C24C2×#4111yescharacteristic
715C24C2×#4111yescharacteristic
716C24C2×#4111yescharacteristic
717C24C2×#4111yescharacteristic
718C24C2×#4111yescharacteristic
719C24C2×#4111yescharacteristic
720C24C2×#4111yescharacteristic
721C24C2×#4111yescharacteristic
722C24C2×#4111yescharacteristic
723C24C2×#4111yescharacteristic
724C24C2×#4111yescharacteristic
725C24H(5,𝔽2)11yescharacteristic
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
736C242−1+411yescharacteristic
737C242−1+411yescharacteristic
738C242−1+411yescharacteristic
739C242−1+411yescharacteristic
740C242−1+411yescharacteristic
741C22×C4—22no—
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—41no—
883C22×C4—41no—
884C22×C4—41no—
885C22×C4—41no—
886C22×C4—41no—
887C22×C4—41no—
888C22×C4—41no—
889C22×C4—41no—
890C22×C4—41no—
891C22×C4—41no—
892C22×C4—41no—
893C22×C4—41no—
894C22×C4—41no—
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#11714yes—
1223C22×C4#11714yes—
1224C22×C4C4×D414yes—
1225C22×C4C4×D414yes—
1226C22×C4C4×D414yes—
1227C22×C4#12114yes—
1228C22×C4#12314yes—
1229C22×C4#12414yes—
1230C22×C4#12614yes—
1231C4⋊C4—416no—
1232C4⋊C4—416no—
1233C22⋊C4—416no—
1234C22⋊C4—416no—
1235C22⋊C4—416no—
1236C22⋊C4—416no—
1237C22⋊C4—416no—
1238C22⋊C4—416no—
1239C22⋊C4—416no—
1240C42—416no—
1241C23—24no—
1242C23—24no—
1243C23—24no—
1244C23—24no—
1245C23—24no—
1246C23—24no—
1247C23—24no—
1248C23—42no—
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—81no—
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—
1396C23C2×#11711yescharacteristic
1397C23C2×#11711yescharacteristic
1398C23C2×#11711yescharacteristic
1399C23C2×C4×D411yescharacteristic
1400C23C2×C4×D411yescharacteristic
1401C23C2×C4×D411yescharacteristic
1402C23C4×#4111yescharacteristic
1403C23#51811yescharacteristic
1404C23#51811yescharacteristic
1405C23#51811yescharacteristic
1406C23#52011yescharacteristic
1407C23#52011yescharacteristic
1408C23#52011yescharacteristic
1409C23#52011yescharacteristic
1410C23#52011yescharacteristic
1411C23C2×#12111yescharacteristic
1412C23C2×#12311yescharacteristic
1413C23#52511yescharacteristic
1414C23#52511yescharacteristic
1415C23C2×#12411yescharacteristic
1416C23C2×#12611yescharacteristic
1417C23#52911yescharacteristic
1418C23#52911yescharacteristic
1419C23#52911yescharacteristic
1420C23#52911yescharacteristic
1421C23#52911yescharacteristic
1422C23#52911yescharacteristic
1423C23#53411yescharacteristic
1424C23#53511yescharacteristic
1425C23#53511yescharacteristic
1426C23#53511yescharacteristic
1427C23#53511yescharacteristic
1428C23#53511yescharacteristic
1429C23#53511yescharacteristic
1430C23#53611yescharacteristic
1431C23#53611yescharacteristic
1432C23#53711yescharacteristic
1433C23#53711yescharacteristic
1434C23#53711yescharacteristic
1435C23#53811yescharacteristic
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#53911yescharacteristic
1449C23#53911yescharacteristic
1450C23#53911yescharacteristic
1451C23#53911yescharacteristic
1452C23#53911yescharacteristic
1453C23#53911yescharacteristic
1454C23#53911yescharacteristic
1455C23#53911yescharacteristic
1456C23#53911yescharacteristic
1457C23#54011yescharacteristic
1458C23#54011yescharacteristic
1459C23#54011yescharacteristic
1460C23#54011yescharacteristic
1461C23#54011yescharacteristic
1462C23#54011yescharacteristic
1463C23#54011yescharacteristic
1464C23#54011yescharacteristic
1465C23#54011yescharacteristic
1466C23#54011yescharacteristic
1467C23#54011yescharacteristic
1468C23#54111yescharacteristic
1469C23#54111yescharacteristic
1470C23#54111yescharacteristic
1471C23#54211yescharacteristic
1472C23#54211yescharacteristic
1473C23#54211yescharacteristic
1474C23#54211yescharacteristic
1475C23#54211yescharacteristic
1476C23#54211yescharacteristic
1477C23#54211yescharacteristic
1478C23#54211yescharacteristic
1479C23#54211yescharacteristic
1480C23#54211yescharacteristic
1481C23#54211yescharacteristic
1482C23#54211yescharacteristic
1483C23#54211yescharacteristic
1484C23#54211yescharacteristic
1485C23#54211yescharacteristic
1486C23#54211yescharacteristic
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#54711yescharacteristic
1501C23#54711yescharacteristic
1502C23#54711yescharacteristic
1503C23#54811yescharacteristic
1504C23#54811yescharacteristic
1505C23#54811yescharacteristic
1506C23#54811yescharacteristic
1507C23#54811yescharacteristic
1508C23#55011yescharacteristic
1509C23#55111yescharacteristic
1510C23#55111yescharacteristic
1511C23#55111yescharacteristic
1512C23#55111yescharacteristic
1513C23#55111yescharacteristic
1514C23#55111yescharacteristic
1515C23#55211yescharacteristic
1516C23#55211yescharacteristic
1517C23#55211yescharacteristic
1518C23#55211yescharacteristic
1519C23#55211yescharacteristic
1520C23#55211yescharacteristic
1521C23#55211yescharacteristic
1522C23#55311yescharacteristic
1523C23#55311yescharacteristic
1524C23#55311yescharacteristic
1525C23#55311yescharacteristic
1526C23#55311yescharacteristic
1527C23#55311yescharacteristic
1528C23#55311yescharacteristic
1529C23#55311yescharacteristic
1530C23#55311yescharacteristic
1531C23#55511yescharacteristic
1532C23#55611yescharacteristic
1533C23#55911yescharacteristic
1534C23#55911yescharacteristic
1535C23#56011yescharacteristic
1536C23#56011yescharacteristic
1537C23#56011yescharacteristic
1538C23#56011yescharacteristic
1539C23H(3,𝔽4)11yescharacteristic
1540C23#56211yescharacteristic
1541C23#56211yescharacteristic
1542C23#56211yescharacteristic
1543C23#56211yescharacteristic
1544C23#56211yescharacteristic
1545C23#56211yescharacteristic
1546C23#56311yescharacteristic
1547C23#56311yescharacteristic
1548C23#56311yescharacteristic
1549C23#56311yescharacteristic
1550C23#56311yescharacteristic
1551C2×C4—24no—
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—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—24no—
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—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
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#38818yes—
1761C22—44no—
1762C22—44no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—44no—
1768C22—82no—
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#228311yescharacteristic
1793C22C2×#38811yescharacteristic
1794C22#229011yescharacteristic
1795C22#231211yescharacteristic
1796C22#231411yescharacteristic
1797C22#231411yescharacteristic
1798C22#231811yescharacteristic
1799C22#231811yescharacteristic
1800C22#231811yescharacteristic
1801C22#231911yescharacteristic
1802C22#231911yescharacteristic
1803C22#232211yescharacteristic
1804C22#232411yescharacteristic
1805C22#232411yescharacteristic
1806C22#232411yescharacteristic
1807C22#232611yescharacteristic
1808C22#232811yescharacteristic
1809C22#233411yescharacteristic
1810C22#233711yescharacteristic
1811C22#234211yescharacteristic
1812C22#234311yescharacteristic
1813C22#235211yescharacteristic
1814C22#235211yescharacteristic
1815C22#235211yescharacteristic
1816C22#235211yescharacteristic
1817C22#235411yescharacteristic
1818C22#235711yescharacteristic
1819C22#235811yescharacteristic
1820C22#235911yescharacteristic
1821C22#236111yescharacteristic
1822C22#236411yescharacteristic
1823C22#237611yescharacteristic
1824C22#237711yescharacteristic
1825C22#237911yescharacteristic
1826C22#238311yescharacteristic
1827C22#242011yescharacteristic
1828C22#242111yescharacteristic
1829C22#242411yescharacteristic
1830C22#242511yescharacteristic
1831C22#242611yescharacteristic
1832C22#242711yescharacteristic
1833C22#244311yescharacteristic
1834C22#244411yescharacteristic
1835C22#245711yescharacteristic
1836C22#245711yescharacteristic
1837C22#245811yescharacteristic
1838C22#245811yescharacteristic
1839C22#247211yescharacteristic
1840C22#248111yescharacteristic
1841C22#248811yescharacteristic
1842C22#248911yescharacteristic
1843C22#249011yescharacteristic
1844C22#249411yescharacteristic
1845C22#249511yescharacteristic
1846C22#251011yescharacteristic
1847C22#251511yescharacteristic
1848C22#251511yescharacteristic
1849C22#251611yescharacteristic
1850C22#251611yescharacteristic
1851C22#261911yescharacteristic
1852C22#262011yescharacteristic
1853C22#262411yescharacteristic
1854C22#262411yescharacteristic
1855C22#263011yescharacteristic
1856C22#263211yescharacteristic
1857C22#263511yescharacteristic
1858C22#263711yescharacteristic
1859C22#264011yescharacteristic
1860C22#264111yescharacteristic
1861C22#264411yescharacteristic
1862C22#264411yescharacteristic
1863C22#264811yescharacteristic
1864C22#264811yescharacteristic
1865C22#264911yescharacteristic
1866C22#264911yescharacteristic
1867C22#265011yescharacteristic
1868C22#265111yescharacteristic
1869C22#265111yescharacteristic
1870C22#265211yescharacteristic
1871C22#265211yescharacteristic
1872C22#265311yescharacteristic
1873C22#265311yescharacteristic
1874C22#265411yescharacteristic
1875C22#267011yescharacteristic
1876C22#267311yescharacteristic
1877C22#267411yescharacteristic
1878C22#267611yescharacteristic
1879C22#267611yescharacteristic
1880C22#267611yescharacteristic
1881C22#267811yescharacteristic
1882C22#268111yescharacteristic
1883C22#268511yescharacteristic
1884C22#268511yescharacteristic
1885C22#268711yescharacteristic
1886C22#268711yescharacteristic
1887C22#268811yescharacteristic
1888C22#269011yescharacteristic
1889C22#269311yescharacteristic
1890C22#269511yescharacteristic
1891C22#269611yescharacteristic
1892C22#269611yescharacteristic
1893C22#270211yescharacteristic
1894C22#270211yescharacteristic
1895C22#270211yescharacteristic
1896C22#270311yescharacteristic
1897C22#270311yescharacteristic
1898C22#270611yescharacteristic
1899C22#270711yescharacteristic
1900C22#271011yescharacteristic
1901C22#271011yescharacteristic
1902C22#271011yescharacteristic
1903C22#271111yescharacteristic
1904C22#271111yescharacteristic
1905C22#271211yescharacteristic
1906C22#271411yescharacteristic
1907C22#271411yescharacteristic
1908C22#271611yescharacteristic
1909C22#271811yescharacteristic
1910C22#272111yescharacteristic
1911C22#272311yescharacteristic
1912C22#272311yescharacteristic
1913C22#272511yescharacteristic
1914C22#273111yescharacteristic
1915C22#273811yescharacteristic
1916C22#273911yescharacteristic
1917C22#274111yescharacteristic
1918C22#274111yescharacteristic
1919C22#274311yescharacteristic
1920C22#274611yescharacteristic
1921C22#274911yescharacteristic
1922C22#275311yescharacteristic
1923C22#275311yescharacteristic
1924C22#275411yescharacteristic
1925C22#275711yescharacteristic
1926C22#276111yescharacteristic
1927C22#276411yescharacteristic
1928C22#276511yescharacteristic
1929C22#277011yescharacteristic
1930C22#277211yescharacteristic
1931C22#277311yescharacteristic
1932C22#277911yescharacteristic
1933C22#279311yescharacteristic
1934C22#279511yescharacteristic
1935C22#280011yescharacteristic
1936C22#280011yescharacteristic
1937C22#280311yescharacteristic
1938C22#280311yescharacteristic
1939C22#282811yescharacteristic
1940C22#282911yescharacteristic
1941C22#283111yescharacteristic
1942C22#283211yescharacteristic
1943C22#283611yescharacteristic
1944C22#283711yescharacteristic
1945C22#283711yescharacteristic
1946C22#283811yescharacteristic
1947C4—28no—
1948C4—44no—
1949C4—44no—
1950C4—82no—
1951C4—82no—
1952C4—82no—
1953C4—82no—
1954C4—82no—
1955C4—82no—
1956C4—82no—
1957C4—82no—
1958C4—82no—
1959C4—82no—
1960C4—82no—
1961C2—84no—
1962C2#1387511yescharacteristic
1963C2#1388711yescharacteristic
1964C2#1414011yescharacteristic
1965C2#1426011yescharacteristic
1966C2#1426811yescharacteristic
1967C2#1435111yescharacteristic
1968C2#1437311yescharacteristic
1969C2#1437711yescharacteristic
1970C2#1438911yescharacteristic
1971C2#1441011yescharacteristic
1972C2#1441211yescharacteristic
1973C2#1441311yescharacteristic
1974C2#1443311yescharacteristic
1975C2#1444411yescharacteristic
1976C2#1467111yescharacteristic
1977C2#1628911yescharacteristic
1978C2#1629411yescharacteristic
1979C2#1631011yescharacteristic
1980C2#1631511yescharacteristic
1981C2#1637311yescharacteristic
1982C2#1637811yescharacteristic
1983C2#1642011yescharacteristic
1984C2#1642511yescharacteristic
1985C2#1644211yescharacteristic
1986C2#1644511yescharacteristic
1987C2#1646811yescharacteristic
1988C2#1647211yescharacteristic
1989C2#1672311yescharacteristic
1990C2#1672811yescharacteristic
1991C2#1675811yescharacteristic
1992C2#1676211yescharacteristic
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
1. C2×#1442C2semidirect
6. C2×C4⋊#95C2semidirect
7. C2×#1434C2semidirect
8. #7557C2semidirect
9. #7556C2semidirect
10. #7556C2semidirect
11. #7556C2semidirect
12. #7556C2semidirect
55. #1437C4semidirect

Maximal subgroups

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

subgroupindex
C2×#14422
C2×#14402
C2×#14392
C2×#14372
C2×C4⋊#952
C2×#14342
#75572
#75562
#75552