Finite Group Databasebeta

← #154694

Subgroups — #154694

Order 512.

4066 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×#385C211yesmaximal, characteristic
2C2×#1445C211yesmaximal, characteristic, complemented
3C2×#1443C211yesmaximal, characteristic, complemented
4C2×#1437C211yesmaximal, characteristic
5C2×#1434C211yesmaximal, characteristic, complemented
6C2×C22⋊#95C211yesmaximal, characteristic
7C2×C22⋊#95C211yesmaximal, characteristic
8#7557C211yesmaximal, characteristic, complemented
9#7557C211yesmaximal, characteristic, complemented
10#7557C211yesmaximal, characteristic, complemented
11#7556C211yesmaximal, characteristic, complemented
12#7555C211yesmaximal, characteristic
13#7555C211yesmaximal, characteristic
14#7555C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic, complemented
16C25×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×C42C2211yescharacteristic
26C2×#385—24no—
27C2×#385—24no—
28C2×#385C418yescomplemented
29C22×#95C2211yescharacteristic
30C22×#95C2211yescharacteristic
31C22×#95C2211yescharacteristic
32C22×#95C2211yescharacteristic
33C22×#95C2211yescharacteristic
34C22×#95C2211yescharacteristic
35C22×#95C2211yescharacteristic
36C22×#95C2211yescharacteristic
37C22×#95C2211yescharacteristic
38C22×#95C2211yescharacteristic
39C22×#95C2211yescharacteristic
40C22×#95C2211yescharacteristic
41C22×#95C2211yescharacteristic
42C22×#95C2211yescharacteristic
43C22×#95C2211yescharacteristic
44C22×#95C2211yescharacteristic
45C22×#95C2211yescharacteristic
46C22×#95C2211yescharacteristic
47C22×#95C2211yescharacteristic
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50C22×#95C2211yescharacteristic
51C22×#95C2211yescharacteristic
52C22×#95C2211yescharacteristic
53C22×#95C2211yescharacteristic
54#1445—24no—
55#1443—24no—
56#1437—24no—
57#1434—24no—
58C22⋊#95—24no—
59C22⋊#95—24no—
60C26C2311yescharacteristic
61C24×C4—22no—
62C24×C4—22no—
63C24×C4—22no—
64C24×C4—22no—
65C24×C4—22no—
66C24×C4—22no—
67C24×C4—41no—
68C24×C4—41no—
69C24×C4—41no—
70C24×C4—41no—
71C24×C4—41no—
72C24×C4—41no—
73C24×C4—41no—
74C24×C4—41no—
75C24×C4C2×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—22no—
96C22×C4⋊C4—41no—
97C22×C4⋊C4—41no—
98C22×C4⋊C4—41no—
99C22×C4⋊C4—41no—
100C22×C4⋊C4—41no—
101C22×C4⋊C4—41no—
102C22×C4⋊C4C2×C414yes—
103C22×C4⋊C4C2×C414yes—
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—22no—
130C22×C22⋊C4—22no—
131C22×C22⋊C4—22no—
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⋊C4D414yes—
145C22×C22⋊C4Q814yes—
146C22×C42—22no—
147C22×C42—22no—
148C22×C42—22no—
149C22×C42—22no—
150C22×C42—22no—
151C22×C42—41no—
152C22×C42—41no—
153#385—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—22no—
193C2×#95—22no—
194C2×#95—22no—
195C2×#95—22no—
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×#95—41no—
223C2×#95—41no—
224C2×#95C2×C414yes—
225C2×#95C2×C414yes—
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—
253C25C22×C412yes—
254C25C2×D412yes—
255C25C2×Q812yes—
256C25#4112yes—
257C25#4112yes—
258C25#4112yes—
259C25#4112yes—
260C25C2411yescharacteristic
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—28no—
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—28no—
445C23×C4—28no—
446C23×C4—44no—
447C23×C4—44no—
448C23×C4—44no—
449C23×C4—44no—
450C23×C4—44no—
451C23×C4—44no—
452C23×C4—44no—
453C23×C4—44no—
454C23×C4—44no—
455C23×C4—44no—
456C23×C4—44no—
457C23×C4—44no—
458C23×C4—44no—
459C23×C4—44no—
460C23×C4—44no—
461C23×C4—44no—
462C23×C4—44no—
463C23×C4—44no—
464C23×C4—44no—
465C23×C4—44no—
466C23×C4—44no—
467C23×C4—44no—
468C23×C4—44no—
469C23×C4—44no—
470C23×C4—44no—
471C23×C4—44no—
472C23×C4—44no—
473C23×C4—44no—
474C23×C4—44no—
475C23×C4—44no—
476C23×C4—44no—
477C23×C4—44no—
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×Q812yes—
496C23×C4C2×Q812yes—
497C23×C4#4112yes—
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—28no—
508C2×C4⋊C4—28no—
509C2×C4⋊C4—44no—
510C2×C4⋊C4—44no—
511C2×C4⋊C4—44no—
512C2×C4⋊C4—44no—
513C2×C4⋊C4—44no—
514C2×C4⋊C4—44no—
515C2×C4⋊C4—44no—
516C2×C4⋊C4—44no—
517C2×C4⋊C4—44no—
518C2×C4⋊C4—44no—
519C2×C4⋊C4—44no—
520C2×C22⋊C4—28no—
521C2×C22⋊C4—28no—
522C2×C22⋊C4—28no—
523C2×C22⋊C4—28no—
524C2×C22⋊C4—28no—
525C2×C22⋊C4—28no—
526C2×C22⋊C4—28no—
527C2×C22⋊C4—28no—
528C2×C22⋊C4—28no—
529C2×C22⋊C4—28no—
530C2×C22⋊C4—28no—
531C2×C22⋊C4—28no—
532C2×C22⋊C4—28no—
533C2×C22⋊C4—28no—
534C2×C22⋊C4—28no—
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—28no—
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—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—
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—22no—
637C24—22no—
638C24—22no—
639C24—22no—
640C24—22no—
641C24—22no—
642C24—22no—
643C24—22no—
644C24—22no—
645C24—22no—
646C24—22no—
647C24—22no—
648C24—22no—
649C24—22no—
650C24—22no—
651C24—22no—
652C24—22no—
653C24—22no—
654C24—22no—
655C24—22no—
656C24—22no—
657C24—22no—
658C24—22no—
659C24—22no—
660C24—22no—
661C24—22no—
662C24—22no—
663C24—22no—
664C24—22no—
665C24—22no—
666C24—22no—
667C24—22no—
668C24—22no—
669C24—22no—
670C24—22no—
671C24—22no—
672C24—22no—
673C24—22no—
674C24—22no—
675C24—22no—
676C24—22no—
677C24—22no—
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#11714yes—
743C24C4×D414yes—
744C24C4×Q814yes—
745C24C22⋊Q814yes—
746C24#12314yes—
747C24#12514yes—
748C24#12614yes—
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
764C24C2×#4111yescharacteristic
765C24C2×#4111yescharacteristic
766C24C2×#4111yescharacteristic
767C24C2×#4111yescharacteristic
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
775C24H(5,𝔽2)11yescharacteristic
776C24H(5,𝔽2)11yescharacteristic
777C242−1+411yescharacteristic
778C242−1+411yescharacteristic
779C242−1+411yescharacteristic
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—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—416no—
956C22×C4—416no—
957C22×C4—416no—
958C22×C4—416no—
959C22×C4—416no—
960C22×C4—416no—
961C22×C4—416no—
962C22×C4—416no—
963C22×C4—416no—
964C22×C4—416no—
965C22×C4—416no—
966C22×C4—416no—
967C22×C4—416no—
968C22×C4—416no—
969C22×C4—416no—
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×C4#11714yes—
1282C22×C4C4×D414yes—
1283C22×C4C22⋊Q814yes—
1284C22×C4#12314yes—
1285C4⋊C4—416no—
1286C4⋊C4—416no—
1287C22⋊C4—232no—
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—24no—
1302C23—24no—
1303C23—24no—
1304C23—24no—
1305C23—24no—
1306C23—24no—
1307C23—24no—
1308C23—24no—
1309C23—24no—
1310C23—24no—
1311C23—24no—
1312C23—24no—
1313C23—24no—
1314C23—24no—
1315C23—24no—
1316C23—24no—
1317C23—24no—
1318C23—24no—
1319C23—24no—
1320C23—24no—
1321C23—24no—
1322C23—24no—
1323C23—24no—
1324C23—24no—
1325C23—24no—
1326C23—24no—
1327C23—24no—
1328C23—24no—
1329C23—24no—
1330C23—24no—
1331C23—24no—
1332C23—24no—
1333C23—24no—
1334C23—24no—
1335C23—24no—
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—42no—
1386C23—42no—
1387C23—42no—
1388C23—42no—
1389C23—42no—
1390C23—42no—
1391C23—42no—
1392C23—42no—
1393C23—42no—
1394C23—42no—
1395C23—42no—
1396C23—42no—
1397C23—42no—
1398C23—42no—
1399C23—42no—
1400C23—42no—
1401C23—42no—
1402C23—42no—
1403C23—42no—
1404C23—42no—
1405C23—42no—
1406C23—42no—
1407C23—42no—
1408C23—42no—
1409C23—42no—
1410C23—42no—
1411C23—42no—
1412C23—42no—
1413C23—42no—
1414C23—42no—
1415C23—42no—
1416C23—42no—
1417C23—42no—
1418C23—42no—
1419C23—42no—
1420C23—42no—
1421C23—42no—
1422C23—42no—
1423C23—42no—
1424C23—42no—
1425C23—42no—
1426C23—42no—
1427C23—42no—
1428C23—42no—
1429C23—42no—
1430C23—42no—
1431C23—42no—
1432C23—42no—
1433C23—42no—
1434C23—42no—
1435C23—42no—
1436C23—42no—
1437C23—42no—
1438C23—42no—
1439C23—42no—
1440C23—42no—
1441C23—42no—
1442C23—42no—
1443C23—42no—
1444C23—42no—
1445C23—42no—
1446C23—42no—
1447C23—42no—
1448C23#38718yes—
1449C23C22×C22⋊C411yescharacteristic
1450C23C2×#11711yescharacteristic
1451C23C2×#11711yescharacteristic
1452C23C2×C4×D411yescharacteristic
1453C23C2×C4×D411yescharacteristic
1454C23C2×C4×Q811yescharacteristic
1455C23C4×#4111yescharacteristic
1456C23C4×#4111yescharacteristic
1457C23C4×#4111yescharacteristic
1458C23#51811yescharacteristic
1459C23#51811yescharacteristic
1460C23#51811yescharacteristic
1461C23#51811yescharacteristic
1462C23#51911yescharacteristic
1463C23#52011yescharacteristic
1464C23C2×C22⋊Q811yescharacteristic
1465C23C2×C22⋊Q811yescharacteristic
1466C23C2×#12311yescharacteristic
1467C23C2×#12311yescharacteristic
1468C23#52511yescharacteristic
1469C23#52511yescharacteristic
1470C23#52511yescharacteristic
1471C23#52511yescharacteristic
1472C23#52511yescharacteristic
1473C23#52511yescharacteristic
1474C23#52511yescharacteristic
1475C23#52511yescharacteristic
1476C23C2×#12511yescharacteristic
1477C23C2×#12611yescharacteristic
1478C23#52911yescharacteristic
1479C23#52911yescharacteristic
1480C23#52911yescharacteristic
1481C23#52911yescharacteristic
1482C23#52911yescharacteristic
1483C23#53211yescharacteristic
1484C23#53211yescharacteristic
1485C23#53211yescharacteristic
1486C23#53211yescharacteristic
1487C23#53311yescharacteristic
1488C23#53411yescharacteristic
1489C23#53411yescharacteristic
1490C23#53511yescharacteristic
1491C23#53511yescharacteristic
1492C23#53511yescharacteristic
1493C23#53511yescharacteristic
1494C23#53511yescharacteristic
1495C23#53511yescharacteristic
1496C23#53811yescharacteristic
1497C23#53811yescharacteristic
1498C23#53811yescharacteristic
1499C23#53811yescharacteristic
1500C23#53811yescharacteristic
1501C23#53811yescharacteristic
1502C23#53911yescharacteristic
1503C23#53911yescharacteristic
1504C23#53911yescharacteristic
1505C23#53911yescharacteristic
1506C23#53911yescharacteristic
1507C23#53911yescharacteristic
1508C23#53911yescharacteristic
1509C23#53911yescharacteristic
1510C23#53911yescharacteristic
1511C23#53911yescharacteristic
1512C23#54011yescharacteristic
1513C23#54011yescharacteristic
1514C23#54011yescharacteristic
1515C23#54211yescharacteristic
1516C23#54211yescharacteristic
1517C23#54211yescharacteristic
1518C23#54211yescharacteristic
1519C23#54211yescharacteristic
1520C23#54211yescharacteristic
1521C23#54211yescharacteristic
1522C23#54311yescharacteristic
1523C23#54411yescharacteristic
1524C23D4211yescharacteristic
1525C23D4211yescharacteristic
1526C23D4211yescharacteristic
1527C23D4211yescharacteristic
1528C23D4211yescharacteristic
1529C23#54611yescharacteristic
1530C23#54611yescharacteristic
1531C23#54611yescharacteristic
1532C23#54611yescharacteristic
1533C23#54611yescharacteristic
1534C23#54611yescharacteristic
1535C23#54611yescharacteristic
1536C23#54611yescharacteristic
1537C23#54611yescharacteristic
1538C23#54611yescharacteristic
1539C23#54711yescharacteristic
1540C23#54711yescharacteristic
1541C23#54711yescharacteristic
1542C23#54711yescharacteristic
1543C23#54711yescharacteristic
1544C23#54711yescharacteristic
1545C23#54811yescharacteristic
1546C23#54811yescharacteristic
1547C23#54811yescharacteristic
1548C23#54811yescharacteristic
1549C23D4×Q811yescharacteristic
1550C23D4×Q811yescharacteristic
1551C23#55111yescharacteristic
1552C23#55111yescharacteristic
1553C23#55111yescharacteristic
1554C23#55111yescharacteristic
1555C23#55111yescharacteristic
1556C23#55111yescharacteristic
1557C23#55111yescharacteristic
1558C23#55111yescharacteristic
1559C23#55111yescharacteristic
1560C23#55111yescharacteristic
1561C23#55111yescharacteristic
1562C23#55111yescharacteristic
1563C23#55111yescharacteristic
1564C23#55111yescharacteristic
1565C23#55111yescharacteristic
1566C23#55111yescharacteristic
1567C23#55111yescharacteristic
1568C23#55211yescharacteristic
1569C23#55211yescharacteristic
1570C23#55211yescharacteristic
1571C23#55211yescharacteristic
1572C23#55211yescharacteristic
1573C23#55311yescharacteristic
1574C23#55311yescharacteristic
1575C23#55311yescharacteristic
1576C23#55311yescharacteristic
1577C23#55311yescharacteristic
1578C23#55311yescharacteristic
1579C23#55311yescharacteristic
1580C23#55311yescharacteristic
1581C23#55311yescharacteristic
1582C23#55311yescharacteristic
1583C23#55311yescharacteristic
1584C23#55311yescharacteristic
1585C23#55311yescharacteristic
1586C23#55311yescharacteristic
1587C23#55311yescharacteristic
1588C23#55411yescharacteristic
1589C23#55411yescharacteristic
1590C23#55411yescharacteristic
1591C23#55411yescharacteristic
1592C23#55411yescharacteristic
1593C23#55411yescharacteristic
1594C23#55611yescharacteristic
1595C23#55911yescharacteristic
1596C23#56011yescharacteristic
1597C23#56011yescharacteristic
1598C23#56011yescharacteristic
1599C23H(3,𝔽4)11yescharacteristic
1600C23#56211yescharacteristic
1601C23#56211yescharacteristic
1602C23#56311yescharacteristic
1603C23#56311yescharacteristic
1604C2×C4—24no—
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—464no—
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—28no—
1816C22—28no—
1817C22—28no—
1818C22—44no—
1819C22—44no—
1820C22—44no—
1821C22—44no—
1822C22—44no—
1823C22—44no—
1824C22—44no—
1825C22—44no—
1826C22—44no—
1827C22—44no—
1828C22—44no—
1829C22—44no—
1830C22—44no—
1831C22—44no—
1832C22—44no—
1833C22—44no—
1834C22—44no—
1835C22—44no—
1836C22—44no—
1837C22—44no—
1838C22—44no—
1839C22—44no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—44no—
1844C22—44no—
1845C22—44no—
1846C22#228011yescharacteristic
1847C22C2×#38711yescharacteristic
1848C22#229311yescharacteristic
1849C22#229711yescharacteristic
1850C22C4×#12311yescharacteristic
1851C22C4×C22⋊Q811yescharacteristic
1852C22#230911yescharacteristic
1853C22#231311yescharacteristic
1854C22#231911yescharacteristic
1855C22#232111yescharacteristic
1856C22#232111yescharacteristic
1857C22#232911yescharacteristic
1858C22#233211yescharacteristic
1859C22#233211yescharacteristic
1860C22#233511yescharacteristic
1861C22D4×C22⋊C411yescharacteristic
1862C22D4×C22⋊C411yescharacteristic
1863C22#233911yescharacteristic
1864C22Q8×C22⋊C411yescharacteristic
1865C22#234411yescharacteristic
1866C22#234511yescharacteristic
1867C22#235211yescharacteristic
1868C22#235311yescharacteristic
1869C22#235311yescharacteristic
1870C22#235311yescharacteristic
1871C22#235311yescharacteristic
1872C22#235311yescharacteristic
1873C22#235811yescharacteristic
1874C22#235911yescharacteristic
1875C22#236211yescharacteristic
1876C22#236811yescharacteristic
1877C22#236811yescharacteristic
1878C22#237411yescharacteristic
1879C22#237511yescharacteristic
1880C22#237811yescharacteristic
1881C22#241811yescharacteristic
1882C22#241911yescharacteristic
1883C22#242211yescharacteristic
1884C22#242211yescharacteristic
1885C22#243711yescharacteristic
1886C22#243811yescharacteristic
1887C22#244211yescharacteristic
1888C22#244311yescharacteristic
1889C22#244311yescharacteristic
1890C22#244311yescharacteristic
1891C22#244411yescharacteristic
1892C22#244911yescharacteristic
1893C22#244911yescharacteristic
1894C22#244911yescharacteristic
1895C22#245211yescharacteristic
1896C22#245511yescharacteristic
1897C22#245711yescharacteristic
1898C22#245711yescharacteristic
1899C22#245711yescharacteristic
1900C22#246111yescharacteristic
1901C22#246111yescharacteristic
1902C22#246111yescharacteristic
1903C22#246111yescharacteristic
1904C22#246311yescharacteristic
1905C22#246411yescharacteristic
1906C22#246411yescharacteristic
1907C22#246411yescharacteristic
1908C22#246511yescharacteristic
1909C22#246611yescharacteristic
1910C22#246811yescharacteristic
1911C22#246811yescharacteristic
1912C22#247011yescharacteristic
1913C22#247311yescharacteristic
1914C22#247311yescharacteristic
1915C22#247711yescharacteristic
1916C22#248011yescharacteristic
1917C22#248111yescharacteristic
1918C22#248111yescharacteristic
1919C22#248211yescharacteristic
1920C22#248311yescharacteristic
1921C22#248711yescharacteristic
1922C22#249311yescharacteristic
1923C22#250511yescharacteristic
1924C22#250511yescharacteristic
1925C22#251011yescharacteristic
1926C22#251011yescharacteristic
1927C22#251511yescharacteristic
1928C22#252711yescharacteristic
1929C22#255311yescharacteristic
1930C22#255311yescharacteristic
1931C22#255611yescharacteristic
1932C22#255711yescharacteristic
1933C22#255811yescharacteristic
1934C22#256011yescharacteristic
1935C22#256411yescharacteristic
1936C22#256611yescharacteristic
1937C22#256911yescharacteristic
1938C22#257611yescharacteristic
1939C22#257811yescharacteristic
1940C22#257911yescharacteristic
1941C22#258711yescharacteristic
1942C22#258911yescharacteristic
1943C22#259811yescharacteristic
1944C22#259811yescharacteristic
1945C22#259811yescharacteristic
1946C22#259811yescharacteristic
1947C22#260211yescharacteristic
1948C22#260311yescharacteristic
1949C22#260311yescharacteristic
1950C22#260311yescharacteristic
1951C22#260311yescharacteristic
1952C22#260311yescharacteristic
1953C22#266911yescharacteristic
1954C22#266911yescharacteristic
1955C22#267011yescharacteristic
1956C22#267011yescharacteristic
1957C22#267811yescharacteristic
1958C22#267811yescharacteristic
1959C22#268511yescharacteristic
1960C22#268511yescharacteristic
1961C22#269211yescharacteristic
1962C22#269211yescharacteristic
1963C22#269611yescharacteristic
1964C22#269611yescharacteristic
1965C22#270111yescharacteristic
1966C22#270611yescharacteristic
1967C22#270811yescharacteristic
1968C22#271111yescharacteristic
1969C22#271711yescharacteristic
1970C22#271811yescharacteristic
1971C22#272011yescharacteristic
1972C22#272011yescharacteristic
1973C22#272311yescharacteristic
1974C22#272311yescharacteristic
1975C22#272311yescharacteristic
1976C22#272811yescharacteristic
1977C22#274311yescharacteristic
1978C22#274611yescharacteristic
1979C22#274611yescharacteristic
1980C22#274611yescharacteristic
1981C22#274811yescharacteristic
1982C22#274911yescharacteristic
1983C22#275011yescharacteristic
1984C22#275311yescharacteristic
1985C22#275711yescharacteristic
1986C22#275711yescharacteristic
1987C22#275711yescharacteristic
1988C22#276111yescharacteristic
1989C22#276311yescharacteristic
1990C22#276411yescharacteristic
1991C22#276511yescharacteristic
1992C22#277011yescharacteristic
1993C22#278011yescharacteristic
1994C22#278211yescharacteristic
1995C22#278211yescharacteristic
1996C22#278611yescharacteristic
1997C22#278711yescharacteristic
1998C22#279011yescharacteristic
1999C22#279611yescharacteristic
2000C22#279611yescharacteristic
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—48no—
2016C2#1388211yescharacteristic
2017C2#1391211yescharacteristic
2018C2#1395911yescharacteristic
2019C2#1398011yescharacteristic
2020C2#1400811yescharacteristic
2021C2#1404011yescharacteristic
2022C2#1407511yescharacteristic
2023C2#1409611yescharacteristic
2024C2#1409911yescharacteristic
2025C2#1435811yescharacteristic
2026C2#1438311yescharacteristic
2027C2#1441611yescharacteristic
2028C2#1444811yescharacteristic
2029C2#1445611yescharacteristic
2030C2#1451511yescharacteristic
2031C2#1532711yescharacteristic
2032C2#1533011yescharacteristic
2033C2#1534211yescharacteristic
2034C2#1534311yescharacteristic
2035C2#1534511yescharacteristic
2036C2#1535711yescharacteristic
2037C2#1544011yescharacteristic
2038C2#1546111yescharacteristic
2039C2#1551411yescharacteristic
2040C2#1551511yescharacteristic
2041C2#1552711yescharacteristic
2042C2#1552811yescharacteristic
2043C2#1595411yescharacteristic
2044C2#1597311yescharacteristic
2045C2#1599711yescharacteristic
2046C2#1600511yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC25C24
commutatorC24C23×C4
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#1445C2semidirect
3. C2×#1443C2semidirect
5. C2×#1434C2semidirect
8. #7557C2semidirect
9. #7557C2semidirect
10. #7557C2semidirect
11. #7556C2semidirect
15. #7554C2semidirect
28. C2×#385C4semidirect
593. #95C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3852
C2×#14452
C2×#14432
C2×#14372
C2×#14342
C2×C22⋊#952
#75572
#75562
#75552
#75542