Finite Group Databasebeta

← #156250

Subgroups — #156250

Order 512.

3730 conjugacy classes of subgroups.

The subgroup lattice has 2048 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#393C211yesmaximal, characteristic
2C2×#1446C211yesmaximal, characteristic, complemented
3C2×#1446C211yesmaximal, characteristic, complemented
4C2×#1443C211yesmaximal, characteristic, complemented
5C2×#1439C211yesmaximal, characteristic
6C2×#1437C211yesmaximal, characteristic
7C2×#1436C211yesmaximal, characteristic, complemented
8#7557C211yesmaximal, characteristic, complemented
9#7556C211yesmaximal, characteristic, complemented
10#7556C211yesmaximal, characteristic, complemented
11#7555C211yesmaximal, characteristic
12#7555C211yesmaximal, characteristic
13#7555C211yesmaximal, characteristic
14#7555C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic, complemented
16C24×Q8C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C22⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C42C2211yescharacteristic
26C2×#393—24no—
27C2×#393—24no—
28C2×#393C418yescomplemented
29C22×#95C2211yescharacteristic
30C22×#95C2211yescharacteristic
31C22×#95C2211yescharacteristic
32C22×#95C2211yescharacteristic
33C22×#95C2211yescharacteristic
34C22×#95C2211yescharacteristic
35C22×#95C2211yescharacteristic
36C22×#95C2211yescharacteristic
37C22×#95C2211yescharacteristic
38C22×#95C2211yescharacteristic
39C22×#95C2211yescharacteristic
40C22×#95C2211yescharacteristic
41C22×#95C2211yescharacteristic
42C22×#95C2211yescharacteristic
43C22×#95C2211yescharacteristic
44C22×#95C2211yescharacteristic
45C22×#95C2211yescharacteristic
46C22×#95C2211yescharacteristic
47C22×#95C2211yescharacteristic
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50C22×#95C2211yescharacteristic
51C22×#95C2211yescharacteristic
52C22×#95C2211yescharacteristic
53C22×#95C2211yescharacteristic
54#1446—24no—
55#1446—24no—
56#1443—24no—
57#1439—24no—
58#1437—24no—
59#1436—24no—
60C26C2311yescharacteristic
61C23×Q8—22no—
62C23×Q8—22no—
63C23×Q8—22no—
64C23×Q8—22no—
65C23×Q8—22no—
66C23×Q8—22no—
67C23×Q8—41no—
68C23×Q8—41no—
69C23×Q8—41no—
70C23×Q8—41no—
71C23×Q8—41no—
72C23×Q8—41no—
73C23×Q8—41no—
74C23×Q8—41no—
75C23×Q8C2×C414yes—
76C24×C4C2311yescharacteristic
77C24×C4C2311yescharacteristic
78C24×C4C2311yescharacteristic
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C22×C4⋊C4—22no—
91C22×C4⋊C4—22no—
92C22×C4⋊C4—22no—
93C22×C4⋊C4—22no—
94C22×C4⋊C4—22no—
95C22×C4⋊C4—41no—
96C22×C4⋊C4—41no—
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—22no—
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⋊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⋊C4C2×C414yes—
143C22×C22⋊C4C2×C414yes—
144C22×C22⋊C4C2×C414yes—
145C22×C22⋊C4Q814yescomplemented
146C22×C42—22no—
147C22×C42—22no—
148C22×C42—22no—
149C22×C42—41no—
150C22×C42—41no—
151C22×C42—41no—
152C22×C42—41no—
153#393—232no—
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—41no—
193C2×#95—41no—
194C2×#95—41no—
195C2×#95—41no—
196C2×#95—41no—
197C2×#95—41no—
198C2×#95—41no—
199C2×#95—41no—
200C2×#95—41no—
201C2×#95—41no—
202C2×#95—41no—
203C2×#95—41no—
204C2×#95—41no—
205C2×#95—41no—
206C2×#95—41no—
207C2×#95—41no—
208C2×#95—41no—
209C2×#95—41no—
210C2×#95—41no—
211C2×#95—41no—
212C2×#95—41no—
213C2×#95—41no—
214C2×#95—41no—
215C2×#95—41no—
216C2×#95—41no—
217C2×#95—41no—
218C2×#95—41no—
219C2×#95—41no—
220C2×#95—41no—
221C2×#95—41no—
222C2×#95C2×C414yes—
223C2×#95C2×C414yes—
224C2×#95C2×C414yes—
225C2×#95D414yes—
226C2×#95D414yes—
227C2×#95D414yes—
228C2×#95D414yes—
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—
253C25—21no—
254C25—21no—
255C25—21no—
256C25—21no—
257C25C22×C412yes—
258C25C2×Q812yes—
259C25#4112yes—
260C25C2411yescharacteristic
261C22×Q8—28no—
262C22×Q8—28no—
263C22×Q8—28no—
264C22×Q8—44no—
265C22×Q8—44no—
266C22×Q8—44no—
267C22×Q8—44no—
268C22×Q8—44no—
269C22×Q8—44no—
270C22×Q8—44no—
271C22×Q8—44no—
272C22×Q8—44no—
273C22×Q8—44no—
274C22×Q8—44no—
275C22×Q8—44no—
276C22×Q8—44no—
277C22×Q8—44no—
278C22×Q8—44no—
279C22×Q8—44no—
280C22×Q8—44no—
281C22×Q8—44no—
282C22×Q8—44no—
283C22×Q8—44no—
284C22×Q8—44no—
285C22×Q8—44no—
286C22×Q8—44no—
287C22×Q8—44no—
288C22×Q8—44no—
289C22×Q8—44no—
290C22×Q8—44no—
291C22×Q8—44no—
292C22×Q8—44no—
293C22×Q8—44no—
294C22×Q8—44no—
295C22×Q8—44no—
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×C4—21no—
442C23×C4—21no—
443C23×C4—21no—
444C23×C4—21no—
445C23×C4—21no—
446C23×C4—21no—
447C23×C4—21no—
448C23×C4—21no—
449C23×C4—21no—
450C23×C4—21no—
451C23×C4—21no—
452C23×C4—21no—
453C23×C4—21no—
454C23×C4—21no—
455C23×C4—21no—
456C23×C4—21no—
457C23×C4—21no—
458C23×C4—21no—
459C23×C4—21no—
460C23×C4—21no—
461C23×C4—21no—
462C23×C4—21no—
463C23×C4—21no—
464C23×C4—21no—
465C23×C4—21no—
466C23×C4—21no—
467C23×C4—21no—
468C23×C4—21no—
469C23×C4—21no—
470C23×C4—21no—
471C23×C4—21no—
472C23×C4—21no—
473C23×C4—21no—
474C23×C4—21no—
475C23×C4—21no—
476C23×C4—21no—
477C23×C4—21no—
478C23×C4C22×C412yes—
479C23×C4C22×C412yes—
480C23×C4C22×C412yes—
481C23×C4C22×C412yes—
482C23×C4C22×C412yes—
483C23×C4C22×C412yes—
484C23×C4C2×D412yes—
485C23×C4C2×D412yes—
486C23×C4C2×D412yes—
487C23×C4C2×D412yes—
488C23×C4C2×D412yes—
489C23×C4C2×D412yes—
490C23×C4C2×D412yes—
491C23×C4C2×D412yes—
492C23×C4C2×D412yes—
493C23×C4C2×D412yes—
494C23×C4C2×D412yes—
495C23×C4C2×D412yes—
496C23×C4C2×Q812yes—
497C23×C4C2×Q812yes—
498C23×C4#4112yes—
499C23×C4#4112yes—
500C23×C4#4112yes—
501C23×C4#4112yes—
502C23×C4#4112yes—
503C23×C4#4112yes—
504C23×C4#4112yes—
505C23×C4#4112yes—
506C2×C4⋊C4—28no—
507C2×C4⋊C4—44no—
508C2×C4⋊C4—44no—
509C2×C4⋊C4—44no—
510C2×C4⋊C4—44no—
511C2×C4⋊C4—44no—
512C2×C4⋊C4—44no—
513C2×C22⋊C4—28no—
514C2×C22⋊C4—28no—
515C2×C22⋊C4—28no—
516C2×C22⋊C4—28no—
517C2×C22⋊C4—28no—
518C2×C22⋊C4—28no—
519C2×C22⋊C4—28no—
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×C22⋊C4—44no—
544C2×C22⋊C4—44no—
545C2×C22⋊C4—44no—
546C2×C22⋊C4—44no—
547C2×C22⋊C4—44no—
548C2×C22⋊C4—44no—
549C2×C22⋊C4—44no—
550C2×C22⋊C4—44no—
551C2×C22⋊C4—44no—
552C2×C22⋊C4—44no—
553C2×C22⋊C4—44no—
554C2×C22⋊C4—44no—
555C2×C22⋊C4—44no—
556C2×C22⋊C4—44no—
557C2×C22⋊C4—44no—
558C2×C22⋊C4—44no—
559C2×C22⋊C4—44no—
560C2×C22⋊C4—44no—
561C2×C22⋊C4—44no—
562C2×C42—44no—
563C2×C42—44no—
564C2×C42—44no—
565C2×C42—44no—
566C2×C42—44no—
567C2×C42—44no—
568C2×C42—44no—
569#95—28no—
570#95—28no—
571#95—28no—
572#95—44no—
573#95—44no—
574#95—44no—
575#95—44no—
576#95—44no—
577#95—44no—
578#95—44no—
579#95—44no—
580#95—44no—
581#95—44no—
582#95—44no—
583#95—44no—
584#95—44no—
585#95—44no—
586#95—44no—
587#95—44no—
588#95—44no—
589#95—44no—
590#95—44no—
591#95—44no—
592#95—44no—
593#95C22⋊C4116yescomplemented
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—22no—
623C24—22no—
624C24—22no—
625C24—22no—
626C24—22no—
627C24—22no—
628C24—22no—
629C24—22no—
630C24—22no—
631C24—22no—
632C24—22no—
633C24—22no—
634C24—22no—
635C24—22no—
636C24—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—
734C24—41no—
735C24—41no—
736C24—41no—
737C24—41no—
738C24—41no—
739C24—41no—
740C24—41no—
741C24—41no—
742C24—41no—
743C24—41no—
744C24—41no—
745C24—41no—
746C24—41no—
747C24—41no—
748C24C4×Q814yes—
749C24C23×C411yescharacteristic
750C24C22×D411yescharacteristic
751C24C22×D411yescharacteristic
752C24C22×D411yescharacteristic
753C24C22×D411yescharacteristic
754C24C22×Q811yescharacteristic
755C24C2×#4111yescharacteristic
756C24C2×#4111yescharacteristic
757C24C2×#4111yescharacteristic
758C24C2×#4111yescharacteristic
759C24C2×#4111yescharacteristic
760C24C2×#4111yescharacteristic
761C24C2×#4111yescharacteristic
762C24C2×#4111yescharacteristic
763C24C2×#4111yescharacteristic
764C24H(5,𝔽2)11yescharacteristic
765C24H(5,𝔽2)11yescharacteristic
766C24H(5,𝔽2)11yescharacteristic
767C24H(5,𝔽2)11yescharacteristic
768C24H(5,𝔽2)11yescharacteristic
769C24H(5,𝔽2)11yescharacteristic
770C24H(5,𝔽2)11yescharacteristic
771C24H(5,𝔽2)11yescharacteristic
772C24H(5,𝔽2)11yescharacteristic
773C24H(5,𝔽2)11yescharacteristic
774C24H(5,𝔽2)11yescharacteristic
775C242−1+411yescharacteristic
776C242−1+411yescharacteristic
777C242−1+411yescharacteristic
778C242−1+411yescharacteristic
779C242−1+411yescharacteristic
780C2×Q8—416no—
781C2×Q8—416no—
782C2×Q8—416no—
783C2×Q8—416no—
784C2×Q8—416no—
785C2×Q8—416no—
786C2×Q8—416no—
787C2×Q8—416no—
788C2×Q8—416no—
789C2×Q8—416no—
790C2×Q8—416no—
791C2×Q8—416no—
792C2×Q8—416no—
793C2×Q8—416no—
794C2×Q8—416no—
795C22×C4—22no—
796C22×C4—22no—
797C22×C4—22no—
798C22×C4—22no—
799C22×C4—22no—
800C22×C4—22no—
801C22×C4—22no—
802C22×C4—22no—
803C22×C4—22no—
804C22×C4—22no—
805C22×C4—22no—
806C22×C4—22no—
807C22×C4—22no—
808C22×C4—22no—
809C22×C4—22no—
810C22×C4—22no—
811C22×C4—22no—
812C22×C4—22no—
813C22×C4—22no—
814C22×C4—22no—
815C22×C4—22no—
816C22×C4—22no—
817C22×C4—22no—
818C22×C4—22no—
819C22×C4—22no—
820C22×C4—22no—
821C22×C4—22no—
822C22×C4—22no—
823C22×C4—22no—
824C22×C4—22no—
825C22×C4—22no—
826C22×C4—22no—
827C22×C4—22no—
828C22×C4—22no—
829C22×C4—22no—
830C22×C4—22no—
831C22×C4—22no—
832C22×C4—22no—
833C22×C4—22no—
834C22×C4—22no—
835C22×C4—22no—
836C22×C4—22no—
837C22×C4—22no—
838C22×C4—22no—
839C22×C4—22no—
840C22×C4—22no—
841C22×C4—22no—
842C22×C4—22no—
843C22×C4—22no—
844C22×C4—22no—
845C22×C4—22no—
846C22×C4—22no—
847C22×C4—22no—
848C22×C4—22no—
849C22×C4—22no—
850C22×C4—22no—
851C22×C4—22no—
852C22×C4—22no—
853C22×C4—22no—
854C22×C4—22no—
855C22×C4—22no—
856C22×C4—22no—
857C22×C4—22no—
858C22×C4—22no—
859C22×C4—22no—
860C22×C4—22no—
861C22×C4—22no—
862C22×C4—22no—
863C22×C4—22no—
864C22×C4—22no—
865C22×C4—22no—
866C22×C4—22no—
867C22×C4—22no—
868C22×C4—22no—
869C22×C4—22no—
870C22×C4—22no—
871C22×C4—22no—
872C22×C4—22no—
873C22×C4—22no—
874C22×C4—22no—
875C22×C4—22no—
876C22×C4—22no—
877C22×C4—22no—
878C22×C4—22no—
879C22×C4—22no—
880C22×C4—22no—
881C22×C4—22no—
882C22×C4—22no—
883C22×C4—22no—
884C22×C4—22no—
885C22×C4—22no—
886C22×C4—22no—
887C22×C4—22no—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—22no—
891C22×C4—22no—
892C22×C4—22no—
893C22×C4—22no—
894C22×C4—22no—
895C22×C4—22no—
896C22×C4—22no—
897C22×C4—22no—
898C22×C4—22no—
899C22×C4—22no—
900C22×C4—22no—
901C22×C4—22no—
902C22×C4—22no—
903C22×C4—22no—
904C22×C4—22no—
905C22×C4—22no—
906C22×C4—22no—
907C22×C4—22no—
908C22×C4—22no—
909C22×C4—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—22no—
914C22×C4—22no—
915C22×C4—22no—
916C22×C4—22no—
917C22×C4—22no—
918C22×C4—22no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
929C22×C4—22no—
930C22×C4—22no—
931C22×C4—22no—
932C22×C4—22no—
933C22×C4—22no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—22no—
950C22×C4—22no—
951C22×C4—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—22no—
958C22×C4—22no—
959C22×C4—22no—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—22no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
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—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4C2×C22⋊C414yes—
1279C22×C4C2×C22⋊C414yes—
1280C22×C4C2×C22⋊C414yes—
1281C22×C4C4×D414yes—
1282C22×C4C4×D414yes—
1283C22×C4C22⋊Q814yes—
1284C22×C4#12414yes—
1285C4⋊C4—416no—
1286C22⋊C4—416no—
1287C22⋊C4—416no—
1288C22⋊C4—416no—
1289C22⋊C4—416no—
1290C22⋊C4—416no—
1291C22⋊C4—416no—
1292C22⋊C4—416no—
1293C42—416no—
1294C23—24no—
1295C23—24no—
1296C23—24no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
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—42no—
1360C23—42no—
1361C23—42no—
1362C23—42no—
1363C23—42no—
1364C23—42no—
1365C23—42no—
1366C23—42no—
1367C23—42no—
1368C23—42no—
1369C23—42no—
1370C23—42no—
1371C23—42no—
1372C23—42no—
1373C23—42no—
1374C23—42no—
1375C23—42no—
1376C23—42no—
1377C23—42no—
1378C23—42no—
1379C23—42no—
1380C23—42no—
1381C23—42no—
1382C23—42no—
1383C23—42no—
1384C23—42no—
1385C23—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—
1423C23—81no—
1424C23—81no—
1425C23—81no—
1426C23—81no—
1427C23—81no—
1428C23—81no—
1429C23—81no—
1430C23—81no—
1431C23—81no—
1432C23—81no—
1433C23—81no—
1434C23—81no—
1435C23—81no—
1436C23—81no—
1437C23—81no—
1438C23—81no—
1439C23—81no—
1440C23—81no—
1441C23—81no—
1442C23—81no—
1443C23—81no—
1444C23—81no—
1445C23—81no—
1446C23—81no—
1447C23—81no—
1448C23—81no—
1449C23C22×C22⋊C411yescharacteristic
1450C23C2×C4×D411yescharacteristic
1451C23C2×C4×D411yescharacteristic
1452C23C2×C4×Q811yescharacteristic
1453C23C4×#4111yescharacteristic
1454C23C4×#4111yescharacteristic
1455C23C4×#4111yescharacteristic
1456C23#51811yescharacteristic
1457C23#51811yescharacteristic
1458C23#51811yescharacteristic
1459C23#51811yescharacteristic
1460C23#51911yescharacteristic
1461C23#52011yescharacteristic
1462C23#52011yescharacteristic
1463C23#52011yescharacteristic
1464C23C2×C22⋊Q811yescharacteristic
1465C23#52511yescharacteristic
1466C23#52511yescharacteristic
1467C23#52511yescharacteristic
1468C23C2×#12411yescharacteristic
1469C23#52911yescharacteristic
1470C23#52911yescharacteristic
1471C23#52911yescharacteristic
1472C23#53211yescharacteristic
1473C23#53211yescharacteristic
1474C23#53211yescharacteristic
1475C23#53311yescharacteristic
1476C23#53411yescharacteristic
1477C23#53411yescharacteristic
1478C23#53511yescharacteristic
1479C23#53511yescharacteristic
1480C23#53511yescharacteristic
1481C23#53511yescharacteristic
1482C23#53511yescharacteristic
1483C23#53511yescharacteristic
1484C23#53511yescharacteristic
1485C23#53511yescharacteristic
1486C23#53611yescharacteristic
1487C23#53611yescharacteristic
1488C23#53611yescharacteristic
1489C23#53711yescharacteristic
1490C23#53711yescharacteristic
1491C23#53711yescharacteristic
1492C23#53811yescharacteristic
1493C23#53811yescharacteristic
1494C23#53811yescharacteristic
1495C23#53811yescharacteristic
1496C23#53811yescharacteristic
1497C23#53811yescharacteristic
1498C23#53811yescharacteristic
1499C23#53811yescharacteristic
1500C23#53811yescharacteristic
1501C23#53811yescharacteristic
1502C23#53811yescharacteristic
1503C23#53811yescharacteristic
1504C23#53811yescharacteristic
1505C23#53811yescharacteristic
1506C23#53811yescharacteristic
1507C23#53811yescharacteristic
1508C23#53811yescharacteristic
1509C23#53811yescharacteristic
1510C23#53911yescharacteristic
1511C23#53911yescharacteristic
1512C23#53911yescharacteristic
1513C23#53911yescharacteristic
1514C23#53911yescharacteristic
1515C23#53911yescharacteristic
1516C23#54111yescharacteristic
1517C23#54211yescharacteristic
1518C23#54211yescharacteristic
1519C23#54211yescharacteristic
1520C23#54211yescharacteristic
1521C23#54211yescharacteristic
1522C23#54211yescharacteristic
1523C23#54211yescharacteristic
1524C23#54211yescharacteristic
1525C23#54211yescharacteristic
1526C23#54211yescharacteristic
1527C23#54211yescharacteristic
1528C23#54211yescharacteristic
1529C23#54211yescharacteristic
1530C23#54211yescharacteristic
1531C23#54211yescharacteristic
1532C23#54211yescharacteristic
1533C23#54211yescharacteristic
1534C23#54211yescharacteristic
1535C23#54211yescharacteristic
1536C23#54311yescharacteristic
1537C23#54311yescharacteristic
1538C23#54411yescharacteristic
1539C23#54411yescharacteristic
1540C23D4211yescharacteristic
1541C23D4211yescharacteristic
1542C23D4211yescharacteristic
1543C23D4211yescharacteristic
1544C23D4211yescharacteristic
1545C23#54611yescharacteristic
1546C23#54611yescharacteristic
1547C23#54611yescharacteristic
1548C23#54611yescharacteristic
1549C23#54611yescharacteristic
1550C23#54611yescharacteristic
1551C23#54611yescharacteristic
1552C23#54611yescharacteristic
1553C23#54611yescharacteristic
1554C23#54611yescharacteristic
1555C23#54611yescharacteristic
1556C23#54711yescharacteristic
1557C23#54711yescharacteristic
1558C23#54711yescharacteristic
1559C23#54811yescharacteristic
1560C23#54811yescharacteristic
1561C23#54811yescharacteristic
1562C23#54811yescharacteristic
1563C23#54811yescharacteristic
1564C23D4×Q811yescharacteristic
1565C23D4×Q811yescharacteristic
1566C23D4×Q811yescharacteristic
1567C23#55111yescharacteristic
1568C23#55111yescharacteristic
1569C23#55111yescharacteristic
1570C23#55111yescharacteristic
1571C23#55111yescharacteristic
1572C23#55111yescharacteristic
1573C23#55111yescharacteristic
1574C23#55211yescharacteristic
1575C23#55211yescharacteristic
1576C23#55411yescharacteristic
1577C23#55411yescharacteristic
1578C23#55411yescharacteristic
1579C23#55411yescharacteristic
1580C23#55411yescharacteristic
1581C23#55511yescharacteristic
1582C23#55511yescharacteristic
1583C23#55611yescharacteristic
1584C23#55611yescharacteristic
1585C23#55611yescharacteristic
1586C23#55911yescharacteristic
1587C23#55911yescharacteristic
1588C23#56011yescharacteristic
1589C23#56011yescharacteristic
1590C23#56011yescharacteristic
1591C23H(3,𝔽4)11yescharacteristic
1592C23H(3,𝔽4)11yescharacteristic
1593C23#56211yescharacteristic
1594C23#56211yescharacteristic
1595C23#56211yescharacteristic
1596C23#56211yescharacteristic
1597C23#56211yescharacteristic
1598C23#56211yescharacteristic
1599C23#56311yescharacteristic
1600C23#56311yescharacteristic
1601C23#56311yescharacteristic
1602C23#56311yescharacteristic
1603C23#56311yescharacteristic
1604Q8—464no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—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—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—42no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—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—81no—
1788C2×C4—81no—
1789C2×C4—81no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—81no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—81no—
1814C2×C4—81no—
1815C22—44no—
1816C22—44no—
1817C22—44no—
1818C22—44no—
1819C22—44no—
1820C22—44no—
1821C22—44no—
1822C22—82no—
1823C22—82no—
1824C22—82no—
1825C22—82no—
1826C22—82no—
1827C22—82no—
1828C22—82no—
1829C22—82no—
1830C22—82no—
1831C22—82no—
1832C22—82no—
1833C22—82no—
1834C22—82no—
1835C22—82no—
1836C22—82no—
1837C22—82no—
1838C22—82no—
1839C22—82no—
1840C22—82no—
1841C22—82no—
1842C22—82no—
1843C22—82no—
1844C22—82no—
1845C22—82no—
1846C22#229711yescharacteristic
1847C22C4×C22⋊Q811yescharacteristic
1848C22C4×#12411yescharacteristic
1849C22#230911yescharacteristic
1850C22#231111yescharacteristic
1851C22#232111yescharacteristic
1852C22#232111yescharacteristic
1853C22#232311yescharacteristic
1854C22#232611yescharacteristic
1855C22#232911yescharacteristic
1856C22#232911yescharacteristic
1857C22#233211yescharacteristic
1858C22#233211yescharacteristic
1859C22#233711yescharacteristic
1860C22#233711yescharacteristic
1861C22#233711yescharacteristic
1862C22#233711yescharacteristic
1863C22#233711yescharacteristic
1864C22#233711yescharacteristic
1865C22D4×C22⋊C411yescharacteristic
1866C22D4×C22⋊C411yescharacteristic
1867C22#233911yescharacteristic
1868C22Q8×C22⋊C411yescharacteristic
1869C22#235811yescharacteristic
1870C22#236011yescharacteristic
1871C22#236211yescharacteristic
1872C22#236711yescharacteristic
1873C22#236711yescharacteristic
1874C22#236811yescharacteristic
1875C22#236811yescharacteristic
1876C22#237211yescharacteristic
1877C22#237511yescharacteristic
1878C22#237811yescharacteristic
1879C22#237811yescharacteristic
1880C22#237911yescharacteristic
1881C22#244911yescharacteristic
1882C22#245011yescharacteristic
1883C22#245211yescharacteristic
1884C22#245211yescharacteristic
1885C22#245911yescharacteristic
1886C22#246111yescharacteristic
1887C22#246111yescharacteristic
1888C22#246311yescharacteristic
1889C22#246511yescharacteristic
1890C22#247211yescharacteristic
1891C22#247211yescharacteristic
1892C22#247411yescharacteristic
1893C22#247711yescharacteristic
1894C22#247711yescharacteristic
1895C22#249111yescharacteristic
1896C22#249211yescharacteristic
1897C22#252111yescharacteristic
1898C22#252711yescharacteristic
1899C22#255511yescharacteristic
1900C22#255611yescharacteristic
1901C22#255711yescharacteristic
1902C22#255711yescharacteristic
1903C22#256011yescharacteristic
1904C22#258911yescharacteristic
1905C22#262611yescharacteristic
1906C22#262811yescharacteristic
1907C22#263111yescharacteristic
1908C22#263111yescharacteristic
1909C22#263111yescharacteristic
1910C22#263211yescharacteristic
1911C22#263211yescharacteristic
1912C22#263811yescharacteristic
1913C22#263911yescharacteristic
1914C22#264011yescharacteristic
1915C22#265011yescharacteristic
1916C22#265011yescharacteristic
1917C22#265311yescharacteristic
1918C22#265311yescharacteristic
1919C22#265311yescharacteristic
1920C22#265311yescharacteristic
1921C22#266211yescharacteristic
1922C22#266211yescharacteristic
1923C22#266211yescharacteristic
1924C22#266211yescharacteristic
1925C22#266211yescharacteristic
1926C22#266311yescharacteristic
1927C22#266511yescharacteristic
1928C22#266511yescharacteristic
1929C22#266911yescharacteristic
1930C22#266911yescharacteristic
1931C22#267011yescharacteristic
1932C22#267011yescharacteristic
1933C22#267011yescharacteristic
1934C22#267211yescharacteristic
1935C22#267411yescharacteristic
1936C22#267411yescharacteristic
1937C22#267611yescharacteristic
1938C22#267611yescharacteristic
1939C22#267611yescharacteristic
1940C22#267711yescharacteristic
1941C22#267811yescharacteristic
1942C22#267811yescharacteristic
1943C22#268111yescharacteristic
1944C22#268311yescharacteristic
1945C22#268411yescharacteristic
1946C22#268511yescharacteristic
1947C22#268511yescharacteristic
1948C22#268611yescharacteristic
1949C22#269011yescharacteristic
1950C22#269211yescharacteristic
1951C22#269211yescharacteristic
1952C22#269211yescharacteristic
1953C22#269211yescharacteristic
1954C22#269611yescharacteristic
1955C22#269611yescharacteristic
1956C22#269611yescharacteristic
1957C22#269611yescharacteristic
1958C22#270011yescharacteristic
1959C22#270011yescharacteristic
1960C22#270211yescharacteristic
1961C22#270211yescharacteristic
1962C22#270411yescharacteristic
1963C22#271011yescharacteristic
1964C22#271011yescharacteristic
1965C22#271211yescharacteristic
1966C22#271511yescharacteristic
1967C22#271611yescharacteristic
1968C22#272011yescharacteristic
1969C22#272011yescharacteristic
1970C22#272311yescharacteristic
1971C22#272311yescharacteristic
1972C22#272311yescharacteristic
1973C22#272911yescharacteristic
1974C22#273111yescharacteristic
1975C22#273611yescharacteristic
1976C22#273711yescharacteristic
1977C22#273711yescharacteristic
1978C22#274211yescharacteristic
1979C22#274511yescharacteristic
1980C22#275111yescharacteristic
1981C22#275111yescharacteristic
1982C22#275411yescharacteristic
1983C22#275911yescharacteristic
1984C22#275911yescharacteristic
1985C22#276011yescharacteristic
1986C22#276311yescharacteristic
1987C22#277511yescharacteristic
1988C22#278411yescharacteristic
1989C22#278411yescharacteristic
1990C22#278811yescharacteristic
1991C22#280411yescharacteristic
1992C22#280811yescharacteristic
1993C22#282411yescharacteristic
1994C22#282411yescharacteristic
1995C22#283011yescharacteristic
1996C22#283011yescharacteristic
1997C22#283211yescharacteristic
1998C22#283211yescharacteristic
1999C22#283811yescharacteristic
2000C22#283811yescharacteristic
2001C4—44no—
2002C4—44no—
2003C4—44no—
2004C4—44no—
2005C4—44no—
2006C4—44no—
2007C4—44no—
2008C4—82no—
2009C4—82no—
2010C4—82no—
2011C4—82no—
2012C4—82no—
2013C4—82no—
2014C4—82no—
2015C2—84no—
2016C2#1409811yescharacteristic
2017C2#1409911yescharacteristic
2018C2#1422011yescharacteristic
2019C2#1428811yescharacteristic
2020C2#1431911yescharacteristic
2021C2#1432311yescharacteristic
2022C2#1435811yescharacteristic
2023C2#1436211yescharacteristic
2024C2#1442111yescharacteristic
2025C2#1444811yescharacteristic
2026C2#1452211yescharacteristic
2027C2#1455311yescharacteristic
2028C2#1456011yescharacteristic
2029C2#1459611yescharacteristic
2030C2#1464911yescharacteristic
2031C2#1632011yescharacteristic
2032C2#1632711yescharacteristic
2033C2#1635311yescharacteristic
2034C2#1635711yescharacteristic
2035C2#1637411yescharacteristic
2036C2#1637511yescharacteristic
2037C2#1645211yescharacteristic
2038C2#1648011yescharacteristic
2039C2#1654411yescharacteristic
2040C2#1654411yescharacteristic
2041C2#1655611yescharacteristic
2042C2#1661411yescharacteristic
2043C2#1674111yescharacteristic
2044C2#1683711yescharacteristic
2045C2#1684511yescharacteristic
2046C2#1688211yescharacteristic
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×#1446C2semidirect
3. C2×#1446C2semidirect
4. C2×#1443C2semidirect
7. C2×#1436C2semidirect
8. #7557C2semidirect
9. #7556C2semidirect
10. #7556C2semidirect
15. #7554C2semidirect
28. C2×#393C4semidirect
145. C22×C22⋊C4Q8semidirect
593. #95C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3932
C2×#14462
C2×#14432
C2×#14392
C2×#14372
C2×#14362
#75572
#75562
#75552
#75542