Finite Group Databasebeta

← #155649

Subgroups — #155649

Order 512.

3546 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#388C211yesmaximal, characteristic
2C2×#1444C211yesmaximal, characteristic, complemented
3C2×#1442C211yesmaximal, characteristic, complemented
4C2×#1441C211yesmaximal, characteristic, complemented
5C2×#1439C211yesmaximal, characteristic
6C2×#1439C211yesmaximal, characteristic
7C2×#1439C211yesmaximal, characteristic
8C2×#1439C211yesmaximal, characteristic
9C2×C4⋊#95C211yesmaximal, characteristic, complemented
10#7557C211yesmaximal, characteristic, complemented
11#7557C211yesmaximal, characteristic, complemented
12#7556C211yesmaximal, characteristic, complemented
13#7555C211yesmaximal, characteristic
14#7555C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic, complemented
16C23×C4⋊C4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28C23×C42C2211yescharacteristic
29C2×#388—24no—
30C2×#388—24no—
31C2×#388C418yescomplemented
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#1444—24no—
55#1442—24no—
56#1441—24no—
57#1439—24no—
58#1439—24no—
59#1439—24no—
60#1439—24no—
61C4⋊#95—24no—
62C26C2311yescharacteristic
63C24×C4C2311yescharacteristic
64C24×C4C2311yescharacteristic
65C24×C4C2311yescharacteristic
66C24×C4C2311yescharacteristic
67C24×C4C2311yescharacteristic
68C24×C4C2311yescharacteristic
69C24×C4C2311yescharacteristic
70C24×C4C2311yescharacteristic
71C24×C4C2311yescharacteristic
72C24×C4C2311yescharacteristic
73C24×C4C2311yescharacteristic
74C24×C4C2311yescharacteristic
75C24×C4C2311yescharacteristic
76C24×C4C2311yescharacteristic
77C22×C4⋊C4—22no—
78C22×C4⋊C4—22no—
79C22×C4⋊C4—22no—
80C22×C4⋊C4—22no—
81C22×C4⋊C4—22no—
82C22×C4⋊C4—22no—
83C22×C4⋊C4—22no—
84C22×C4⋊C4—22no—
85C22×C4⋊C4—22no—
86C22×C4⋊C4—22no—
87C22×C4⋊C4—22no—
88C22×C4⋊C4—22no—
89C22×C4⋊C4—22no—
90C22×C4⋊C4—22no—
91C22×C4⋊C4—22no—
92C22×C4⋊C4—22no—
93C22×C4⋊C4—22no—
94C22×C4⋊C4—22no—
95C22×C4⋊C4—22no—
96C22×C4⋊C4—22no—
97C22×C4⋊C4—41no—
98C22×C4⋊C4—41no—
99C22×C4⋊C4—41no—
100C22×C4⋊C4—41no—
101C22×C4⋊C4—41no—
102C22×C4⋊C4—41no—
103C22×C4⋊C4—41no—
104C22×C4⋊C4—41no—
105C22×C4⋊C4—41no—
106C22×C4⋊C4—41no—
107C22×C4⋊C4—41no—
108C22×C4⋊C4—41no—
109C22×C4⋊C4—41no—
110C22×C4⋊C4—41no—
111C22×C4⋊C4C2×C414yes—
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—22no—
133C22×C22⋊C4—22no—
134C22×C22⋊C4—22no—
135C22×C22⋊C4—22no—
136C22×C22⋊C4—41no—
137C22×C22⋊C4—41no—
138C22×C22⋊C4—41no—
139C22×C22⋊C4—41no—
140C22×C22⋊C4—41no—
141C22×C22⋊C4—41no—
142C22×C22⋊C4—41no—
143C22×C22⋊C4—41no—
144C22×C22⋊C4—41no—
145C22×C22⋊C4—41no—
146C22×C22⋊C4—41no—
147C22×C22⋊C4—41no—
148C22×C22⋊C4—41no—
149C22×C22⋊C4—41no—
150C22×C22⋊C4—41no—
151C22×C22⋊C4—41no—
152C22×C22⋊C4—41no—
153C22×C22⋊C4—41no—
154C22×C22⋊C4—41no—
155C22×C22⋊C4—41no—
156C22×C22⋊C4C2×C414yes—
157C22×C22⋊C4C2×C414yes—
158C22×C22⋊C4C2×C414yes—
159C22×C22⋊C4D414yes—
160C22×C22⋊C4Q814yes—
161C22×C42—22no—
162C22×C42—22no—
163C22×C42—22no—
164C22×C42—22no—
165C22×C42—41no—
166C22×C42—41no—
167C22×C42C2×C414yes—
168#388—232no—
169C2×#95—22no—
170C2×#95—22no—
171C2×#95—22no—
172C2×#95—22no—
173C2×#95—22no—
174C2×#95—22no—
175C2×#95—22no—
176C2×#95—22no—
177C2×#95—22no—
178C2×#95—22no—
179C2×#95—22no—
180C2×#95—22no—
181C2×#95—22no—
182C2×#95—22no—
183C2×#95—22no—
184C2×#95—22no—
185C2×#95—22no—
186C2×#95—22no—
187C2×#95—22no—
188C2×#95—22no—
189C2×#95—22no—
190C2×#95—22no—
191C2×#95—22no—
192C2×#95—22no—
193C2×#95—22no—
194C2×#95—22no—
195C2×#95—22no—
196C2×#95—22no—
197C2×#95—22no—
198C2×#95—22no—
199C2×#95—22no—
200C2×#95—22no—
201C2×#95—22no—
202C2×#95—22no—
203C2×#95—22no—
204C2×#95—22no—
205C2×#95—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×#95—41no—
225C2×#95—41no—
226C2×#95—41no—
227C2×#95—41no—
228C2×#95—41no—
229C2×#95C2×C414yes—
230C2×#95C2×C414yes—
231C2×#95D414yes—
232C2×#95D414yes—
233C2×#95D414yes—
234C2×#95D414yes—
235C25—21no—
236C25—21no—
237C25—21no—
238C25—21no—
239C25—21no—
240C25—21no—
241C25—21no—
242C25—21no—
243C25—21no—
244C25—21no—
245C25—21no—
246C25—21no—
247C25—21no—
248C25—21no—
249C25—21no—
250C25—21no—
251C25—21no—
252C25—21no—
253C25—21no—
254C25—21no—
255C25—21no—
256C25—21no—
257C25—21no—
258C25—21no—
259C25—21no—
260C25—21no—
261C25—21no—
262C25—21no—
263C25C22×C412yes—
264C25C2×D412yes—
265C25C2×Q812yes—
266C25C2411yescharacteristic
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C23×C4—21no—
291C23×C4—21no—
292C23×C4—21no—
293C23×C4—21no—
294C23×C4—21no—
295C23×C4—21no—
296C23×C4—21no—
297C23×C4—21no—
298C23×C4—21no—
299C23×C4—21no—
300C23×C4—21no—
301C23×C4—21no—
302C23×C4—21no—
303C23×C4—21no—
304C23×C4—21no—
305C23×C4—21no—
306C23×C4—21no—
307C23×C4—21no—
308C23×C4—21no—
309C23×C4—21no—
310C23×C4—21no—
311C23×C4—21no—
312C23×C4—21no—
313C23×C4—21no—
314C23×C4—21no—
315C23×C4—21no—
316C23×C4—21no—
317C23×C4—21no—
318C23×C4—21no—
319C23×C4—21no—
320C23×C4—21no—
321C23×C4—21no—
322C23×C4—21no—
323C23×C4—21no—
324C23×C4—21no—
325C23×C4—21no—
326C23×C4—21no—
327C23×C4—21no—
328C23×C4—21no—
329C23×C4—21no—
330C23×C4—21no—
331C23×C4—21no—
332C23×C4—21no—
333C23×C4—21no—
334C23×C4—21no—
335C23×C4—21no—
336C23×C4—21no—
337C23×C4—21no—
338C23×C4—21no—
339C23×C4—21no—
340C23×C4—21no—
341C23×C4—21no—
342C23×C4—21no—
343C23×C4—21no—
344C23×C4—21no—
345C23×C4—21no—
346C23×C4—21no—
347C23×C4—21no—
348C23×C4—21no—
349C23×C4—21no—
350C23×C4—21no—
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—21no—
356C23×C4—21no—
357C23×C4—21no—
358C23×C4—21no—
359C23×C4—21no—
360C23×C4—21no—
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—21no—
364C23×C4—21no—
365C23×C4—21no—
366C23×C4—21no—
367C23×C4—21no—
368C23×C4—21no—
369C23×C4—21no—
370C23×C4—21no—
371C23×C4—21no—
372C23×C4—21no—
373C23×C4—21no—
374C23×C4—21no—
375C23×C4—21no—
376C23×C4—21no—
377C23×C4—21no—
378C23×C4—21no—
379C23×C4—21no—
380C23×C4—21no—
381C23×C4—21no—
382C23×C4—21no—
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—21no—
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—21no—
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4—21no—
437C23×C4—21no—
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—21no—
442C23×C4—21no—
443C23×C4—21no—
444C23×C4—21no—
445C23×C4—21no—
446C23×C4—21no—
447C23×C4C22×C412yes—
448C23×C4C22×C412yes—
449C23×C4C22×C412yes—
450C23×C4C22×C412yes—
451C23×C4C22×C412yes—
452C23×C4C22×C412yes—
453C23×C4C2×D412yes—
454C23×C4C2×D412yes—
455C23×C4C2×D412yes—
456C23×C4C2×D412yes—
457C23×C4C2×D412yes—
458C23×C4C2×D412yes—
459C23×C4C2×D412yes—
460C23×C4C2×D412yes—
461C23×C4C2×D412yes—
462C23×C4C2×D412yes—
463C23×C4C2×D412yes—
464C23×C4C2×D412yes—
465C23×C4C2×D412yes—
466C23×C4C2×D412yes—
467C23×C4C2×Q812yes—
468C23×C4C2×Q812yes—
469C23×C4#4112yes—
470C23×C4#4112yes—
471C23×C4#4112yes—
472C23×C4#4112yes—
473C23×C4#4112yes—
474C23×C4#4112yes—
475C23×C4#4112yes—
476C23×C4#4112yes—
477C2×C4⋊C4—28no—
478C2×C4⋊C4—28no—
479C2×C4⋊C4—28no—
480C2×C4⋊C4—28no—
481C2×C4⋊C4—44no—
482C2×C4⋊C4—44no—
483C2×C4⋊C4—44no—
484C2×C4⋊C4—44no—
485C2×C4⋊C4—44no—
486C2×C4⋊C4—44no—
487C2×C4⋊C4—44no—
488C2×C4⋊C4—44no—
489C2×C4⋊C4—44no—
490C2×C4⋊C4—44no—
491C2×C4⋊C4—44no—
492C2×C4⋊C4—44no—
493C2×C4⋊C4—44no—
494C2×C4⋊C4—44no—
495C2×C4⋊C4—44no—
496C2×C4⋊C4—44no—
497C2×C4⋊C4—44no—
498C2×C4⋊C4—44no—
499C2×C4⋊C4—44no—
500C2×C4⋊C4—44no—
501C2×C4⋊C4—44no—
502C2×C4⋊C4—44no—
503C2×C4⋊C4—44no—
504C2×C4⋊C4—44no—
505C2×C4⋊C4—44no—
506C2×C4⋊C4—44no—
507C2×C4⋊C4—44no—
508C2×C4⋊C4—44no—
509C2×C4⋊C4—44no—
510C2×C4⋊C4—44no—
511C2×C4⋊C4—44no—
512C2×C22⋊C4—28no—
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—28no—
521C2×C22⋊C4—28no—
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⋊C4C4⋊C4116yescomplemented
561C2×C42—28no—
562C2×C42—28no—
563C2×C42—44no—
564C2×C42—44no—
565C2×C42—44no—
566C2×C42—44no—
567C2×C42—44no—
568#95—28no—
569#95—44no—
570#95—44no—
571#95—44no—
572#95—44no—
573#95—44no—
574#95—44no—
575#95—44no—
576#95—44no—
577#95—44no—
578#95—44no—
579#95—44no—
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#95C22⋊C4116yescomplemented
590C24—22no—
591C24—22no—
592C24—22no—
593C24—22no—
594C24—22no—
595C24—22no—
596C24—22no—
597C24—22no—
598C24—22no—
599C24—22no—
600C24—22no—
601C24—22no—
602C24—22no—
603C24—22no—
604C24—22no—
605C24—22no—
606C24—22no—
607C24—22no—
608C24—22no—
609C24—22no—
610C24—22no—
611C24—22no—
612C24—22no—
613C24—22no—
614C24—22no—
615C24—22no—
616C24—22no—
617C24—22no—
618C24—22no—
619C24—22no—
620C24—22no—
621C24—22no—
622C24—22no—
623C24—22no—
624C24—22no—
625C24—22no—
626C24—22no—
627C24—22no—
628C24—22no—
629C24—22no—
630C24—22no—
631C24—22no—
632C24—41no—
633C24—41no—
634C24—41no—
635C24—41no—
636C24—41no—
637C24—41no—
638C24—41no—
639C24—41no—
640C24—41no—
641C24—41no—
642C24—41no—
643C24—41no—
644C24—41no—
645C24—41no—
646C24—41no—
647C24—41no—
648C24—41no—
649C24—41no—
650C24—41no—
651C24—41no—
652C24—41no—
653C24—41no—
654C24—41no—
655C24—41no—
656C24—41no—
657C24—41no—
658C24—41no—
659C24—41no—
660C24—41no—
661C24—41no—
662C24—41no—
663C24—41no—
664C24—41no—
665C24—41no—
666C24—41no—
667C24—41no—
668C24—41no—
669C24—41no—
670C24—41no—
671C24—41no—
672C24—41no—
673C24—41no—
674C24—41no—
675C24—41no—
676C24—41no—
677C24—41no—
678C24—41no—
679C24—41no—
680C24—41no—
681C24—41no—
682C24—41no—
683C24—41no—
684C24—41no—
685C24—41no—
686C24—41no—
687C24—41no—
688C24—41no—
689C24—41no—
690C24—41no—
691C24—41no—
692C24—41no—
693C24—41no—
694C24—41no—
695C24—41no—
696C24—41no—
697C24—41no—
698C24—41no—
699C24—41no—
700C24—41no—
701C24—41no—
702C24—41no—
703C24—41no—
704C24—41no—
705C24—41no—
706C24—41no—
707C24—41no—
708C24—41no—
709C24—41no—
710C24—41no—
711C24—41no—
712C24—41no—
713C24—41no—
714C24—41no—
715C24—41no—
716C24—41no—
717C24—41no—
718C24—41no—
719C24—41no—
720C24—41no—
721C24—41no—
722C24—41no—
723C24—41no—
724C24—41no—
725C24—41no—
726C24—41no—
727C24—41no—
728C24—41no—
729C24—41no—
730C24—41no—
731C24—41no—
732C24—41no—
733C24—41no—
734C24—41no—
735C24—41no—
736C24—41no—
737C24—41no—
738C24—41no—
739C24—41no—
740C24—41no—
741C24—41no—
742C24—41no—
743C24—41no—
744C24C2×C4⋊C414yes—
745C24C23×C411yescharacteristic
746C24C22×D411yescharacteristic
747C24C22×D411yescharacteristic
748C24C22×D411yescharacteristic
749C24C22×D411yescharacteristic
750C24C22×D411yescharacteristic
751C24C22×Q811yescharacteristic
752C24C2×#4111yescharacteristic
753C24C2×#4111yescharacteristic
754C24C2×#4111yescharacteristic
755C24C2×#4111yescharacteristic
756C24C2×#4111yescharacteristic
757C24C2×#4111yescharacteristic
758C24C2×#4111yescharacteristic
759C24C2×#4111yescharacteristic
760C24H(5,𝔽2)11yescharacteristic
761C24H(5,𝔽2)11yescharacteristic
762C24H(5,𝔽2)11yescharacteristic
763C24H(5,𝔽2)11yescharacteristic
764C24H(5,𝔽2)11yescharacteristic
765C24H(5,𝔽2)11yescharacteristic
766C24H(5,𝔽2)11yescharacteristic
767C24H(5,𝔽2)11yescharacteristic
768C24H(5,𝔽2)11yescharacteristic
769C24H(5,𝔽2)11yescharacteristic
770C242−1+411yescharacteristic
771C242−1+411yescharacteristic
772C242−1+411yescharacteristic
773C242−1+411yescharacteristic
774C242−1+411yescharacteristic
775C242−1+411yescharacteristic
776C22×C4—22no—
777C22×C4—22no—
778C22×C4—22no—
779C22×C4—22no—
780C22×C4—22no—
781C22×C4—22no—
782C22×C4—22no—
783C22×C4—22no—
784C22×C4—22no—
785C22×C4—22no—
786C22×C4—22no—
787C22×C4—22no—
788C22×C4—22no—
789C22×C4—22no—
790C22×C4—22no—
791C22×C4—22no—
792C22×C4—22no—
793C22×C4—22no—
794C22×C4—22no—
795C22×C4—22no—
796C22×C4—22no—
797C22×C4—22no—
798C22×C4—22no—
799C22×C4—22no—
800C22×C4—22no—
801C22×C4—22no—
802C22×C4—22no—
803C22×C4—22no—
804C22×C4—22no—
805C22×C4—22no—
806C22×C4—22no—
807C22×C4—22no—
808C22×C4—22no—
809C22×C4—22no—
810C22×C4—22no—
811C22×C4—22no—
812C22×C4—22no—
813C22×C4—22no—
814C22×C4—22no—
815C22×C4—22no—
816C22×C4—22no—
817C22×C4—22no—
818C22×C4—22no—
819C22×C4—22no—
820C22×C4—22no—
821C22×C4—22no—
822C22×C4—22no—
823C22×C4—22no—
824C22×C4—22no—
825C22×C4—22no—
826C22×C4—22no—
827C22×C4—22no—
828C22×C4—22no—
829C22×C4—22no—
830C22×C4—22no—
831C22×C4—22no—
832C22×C4—22no—
833C22×C4—22no—
834C22×C4—22no—
835C22×C4—22no—
836C22×C4—22no—
837C22×C4—22no—
838C22×C4—22no—
839C22×C4—22no—
840C22×C4—22no—
841C22×C4—22no—
842C22×C4—22no—
843C22×C4—22no—
844C22×C4—22no—
845C22×C4—22no—
846C22×C4—22no—
847C22×C4—22no—
848C22×C4—22no—
849C22×C4—22no—
850C22×C4—22no—
851C22×C4—22no—
852C22×C4—22no—
853C22×C4—22no—
854C22×C4—22no—
855C22×C4—22no—
856C22×C4—22no—
857C22×C4—22no—
858C22×C4—22no—
859C22×C4—22no—
860C22×C4—22no—
861C22×C4—22no—
862C22×C4—22no—
863C22×C4—22no—
864C22×C4—22no—
865C22×C4—22no—
866C22×C4—22no—
867C22×C4—22no—
868C22×C4—22no—
869C22×C4—22no—
870C22×C4—22no—
871C22×C4—22no—
872C22×C4—22no—
873C22×C4—22no—
874C22×C4—22no—
875C22×C4—22no—
876C22×C4—22no—
877C22×C4—22no—
878C22×C4—22no—
879C22×C4—22no—
880C22×C4—22no—
881C22×C4—22no—
882C22×C4—22no—
883C22×C4—22no—
884C22×C4—22no—
885C22×C4—22no—
886C22×C4—22no—
887C22×C4—22no—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—22no—
891C22×C4—22no—
892C22×C4—22no—
893C22×C4—22no—
894C22×C4—22no—
895C22×C4—22no—
896C22×C4—22no—
897C22×C4—22no—
898C22×C4—22no—
899C22×C4—22no—
900C22×C4—22no—
901C22×C4—22no—
902C22×C4—22no—
903C22×C4—22no—
904C22×C4—22no—
905C22×C4—22no—
906C22×C4—22no—
907C22×C4—22no—
908C22×C4—22no—
909C22×C4—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—22no—
914C22×C4—22no—
915C22×C4—22no—
916C22×C4—22no—
917C22×C4—22no—
918C22×C4—22no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
929C22×C4—22no—
930C22×C4—22no—
931C22×C4—22no—
932C22×C4—22no—
933C22×C4—22no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—22no—
950C22×C4—41no—
951C22×C4—41no—
952C22×C4—41no—
953C22×C4—41no—
954C22×C4—41no—
955C22×C4—41no—
956C22×C4—41no—
957C22×C4—41no—
958C22×C4—41no—
959C22×C4—41no—
960C22×C4—41no—
961C22×C4—41no—
962C22×C4—41no—
963C22×C4—41no—
964C22×C4—41no—
965C22×C4—41no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—41no—
969C22×C4—41no—
970C22×C4—41no—
971C22×C4—41no—
972C22×C4—41no—
973C22×C4—41no—
974C22×C4—41no—
975C22×C4—41no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—41no—
980C22×C4—41no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
987C22×C4—41no—
988C22×C4—41no—
989C22×C4—41no—
990C22×C4—41no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×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×C4C2×C22⋊C414yes—
1255C22×C4C2×C22⋊C414yes—
1256C22×C4C2×C22⋊C414yes—
1257C22×C4C2×C4⋊C414yes—
1258C22×C4C2×C4⋊C414yes—
1259C22×C4#11714yes—
1260C22×C4C4×D414yes—
1261C22×C4C4×D414yes—
1262C22×C4#12114yes—
1263C22×C4#12114yes—
1264C22×C4C22⋊Q814yes—
1265C22×C4C22⋊Q814yes—
1266C4⋊C4—416no—
1267C4⋊C4—416no—
1268C4⋊C4—416no—
1269C4⋊C4—416no—
1270C4⋊C4—416no—
1271C22⋊C4—232no—
1272C22⋊C4—416no—
1273C22⋊C4—416no—
1274C22⋊C4—416no—
1275C22⋊C4—416no—
1276C22⋊C4—416no—
1277C22⋊C4—416no—
1278C42—416no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—24no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—42no—
1287C23—42no—
1288C23—42no—
1289C23—42no—
1290C23—42no—
1291C23—42no—
1292C23—42no—
1293C23—42no—
1294C23—42no—
1295C23—42no—
1296C23—42no—
1297C23—42no—
1298C23—42no—
1299C23—42no—
1300C23—42no—
1301C23—42no—
1302C23—42no—
1303C23—42no—
1304C23—42no—
1305C23—42no—
1306C23—42no—
1307C23—42no—
1308C23—42no—
1309C23—42no—
1310C23—42no—
1311C23—42no—
1312C23—42no—
1313C23—42no—
1314C23—42no—
1315C23—42no—
1316C23—42no—
1317C23—42no—
1318C23—42no—
1319C23—42no—
1320C23—42no—
1321C23—42no—
1322C23—42no—
1323C23—42no—
1324C23—42no—
1325C23—42no—
1326C23—42no—
1327C23—42no—
1328C23—42no—
1329C23—42no—
1330C23—42no—
1331C23—42no—
1332C23—42no—
1333C23—42no—
1334C23—42no—
1335C23—42no—
1336C23—42no—
1337C23—42no—
1338C23—42no—
1339C23—42no—
1340C23—42no—
1341C23—42no—
1342C23—42no—
1343C23—42no—
1344C23—42no—
1345C23—42no—
1346C23—42no—
1347C23—42no—
1348C23—42no—
1349C23—42no—
1350C23—42no—
1351C23—42no—
1352C23—42no—
1353C23—42no—
1354C23—42no—
1355C23—42no—
1356C23—42no—
1357C23—42no—
1358C23—42no—
1359C23—42no—
1360C23—42no—
1361C23—42no—
1362C23—42no—
1363C23—42no—
1364C23—42no—
1365C23—42no—
1366C23—42no—
1367C23—42no—
1368C23—42no—
1369C23—42no—
1370C23—81no—
1371C23—81no—
1372C23—81no—
1373C23—81no—
1374C23—81no—
1375C23—81no—
1376C23—81no—
1377C23—81no—
1378C23—81no—
1379C23—81no—
1380C23—81no—
1381C23—81no—
1382C23—81no—
1383C23—81no—
1384C23—81no—
1385C23—81no—
1386C23—81no—
1387C23—81no—
1388C23—81no—
1389C23—81no—
1390C23—81no—
1391C23—81no—
1392C23—81no—
1393C23—81no—
1394C23—81no—
1395C23—81no—
1396C23—81no—
1397C23—81no—
1398C23—81no—
1399C23—81no—
1400C23—81no—
1401C23—81no—
1402C23—81no—
1403C23—81no—
1404C23—81no—
1405C23—81no—
1406C23—81no—
1407C23—81no—
1408C23—81no—
1409C23—81no—
1410C23—81no—
1411C23—81no—
1412C23—81no—
1413C23—81no—
1414C23—81no—
1415C23—81no—
1416C23—81no—
1417C23—81no—
1418C23—81no—
1419C23—81no—
1420C23—81no—
1421C23—81no—
1422C23—81no—
1423C23—81no—
1424C23—81no—
1425C23—81no—
1426C23—81no—
1427C23—81no—
1428C23—81no—
1429C23—81no—
1430C23—81no—
1431C23—81no—
1432C23—81no—
1433C23—81no—
1434C23C22×C22⋊C411yescharacteristic
1435C23C22×C4⋊C411yescharacteristic
1436C23C2×#11711yescharacteristic
1437C23C2×C4×D411yescharacteristic
1438C23C2×C4×D411yescharacteristic
1439C23C4×#4111yescharacteristic
1440C23C4×#4111yescharacteristic
1441C23#51811yescharacteristic
1442C23#51811yescharacteristic
1443C23#52011yescharacteristic
1444C23#52011yescharacteristic
1445C23#52011yescharacteristic
1446C23#52011yescharacteristic
1447C23#52011yescharacteristic
1448C23#52011yescharacteristic
1449C23C2×#12111yescharacteristic
1450C23C2×#12111yescharacteristic
1451C23C2×C22⋊Q811yescharacteristic
1452C23C2×C22⋊Q811yescharacteristic
1453C23#52511yescharacteristic
1454C23#52511yescharacteristic
1455C23#52911yescharacteristic
1456C23#52911yescharacteristic
1457C23#52911yescharacteristic
1458C23#52911yescharacteristic
1459C23#53211yescharacteristic
1460C23#53211yescharacteristic
1461C23#53411yescharacteristic
1462C23#53411yescharacteristic
1463C23#53511yescharacteristic
1464C23#53511yescharacteristic
1465C23#53511yescharacteristic
1466C23#53511yescharacteristic
1467C23#53511yescharacteristic
1468C23#53511yescharacteristic
1469C23#53611yescharacteristic
1470C23#53611yescharacteristic
1471C23#53611yescharacteristic
1472C23#53611yescharacteristic
1473C23#53611yescharacteristic
1474C23#53611yescharacteristic
1475C23#53711yescharacteristic
1476C23#53711yescharacteristic
1477C23#53711yescharacteristic
1478C23#53711yescharacteristic
1479C23#53711yescharacteristic
1480C23#53711yescharacteristic
1481C23#53811yescharacteristic
1482C23#53811yescharacteristic
1483C23#53811yescharacteristic
1484C23#53811yescharacteristic
1485C23#53811yescharacteristic
1486C23#53811yescharacteristic
1487C23#53811yescharacteristic
1488C23#53811yescharacteristic
1489C23#53911yescharacteristic
1490C23#53911yescharacteristic
1491C23#53911yescharacteristic
1492C23#53911yescharacteristic
1493C23#53911yescharacteristic
1494C23#53911yescharacteristic
1495C23#53911yescharacteristic
1496C23#53911yescharacteristic
1497C23#54011yescharacteristic
1498C23#54011yescharacteristic
1499C23#54011yescharacteristic
1500C23#54011yescharacteristic
1501C23#54011yescharacteristic
1502C23#54011yescharacteristic
1503C23#54111yescharacteristic
1504C23#54111yescharacteristic
1505C23#54111yescharacteristic
1506C23#54111yescharacteristic
1507C23#54211yescharacteristic
1508C23#54211yescharacteristic
1509C23#54211yescharacteristic
1510C23#54211yescharacteristic
1511C23#54211yescharacteristic
1512C23#54211yescharacteristic
1513C23#54211yescharacteristic
1514C23#54211yescharacteristic
1515C23#54211yescharacteristic
1516C23#54211yescharacteristic
1517C23#54211yescharacteristic
1518C23#54211yescharacteristic
1519C23#54211yescharacteristic
1520C23#54211yescharacteristic
1521C23#54411yescharacteristic
1522C23#54411yescharacteristic
1523C23#54411yescharacteristic
1524C23#54411yescharacteristic
1525C23D4211yescharacteristic
1526C23D4211yescharacteristic
1527C23D4211yescharacteristic
1528C23D4211yescharacteristic
1529C23D4211yescharacteristic
1530C23D4211yescharacteristic
1531C23D4211yescharacteristic
1532C23#54611yescharacteristic
1533C23#54611yescharacteristic
1534C23#54611yescharacteristic
1535C23#54611yescharacteristic
1536C23#54611yescharacteristic
1537C23#54611yescharacteristic
1538C23#54611yescharacteristic
1539C23#54611yescharacteristic
1540C23#54611yescharacteristic
1541C23#54611yescharacteristic
1542C23#54611yescharacteristic
1543C23#54611yescharacteristic
1544C23#54711yescharacteristic
1545C23#54711yescharacteristic
1546C23#54711yescharacteristic
1547C23#54711yescharacteristic
1548C23#54711yescharacteristic
1549C23#54711yescharacteristic
1550C23#54811yescharacteristic
1551C23#54811yescharacteristic
1552C23#54811yescharacteristic
1553C23#54811yescharacteristic
1554C23D4×Q811yescharacteristic
1555C23D4×Q811yescharacteristic
1556C23#55011yescharacteristic
1557C23#55011yescharacteristic
1558C23#55111yescharacteristic
1559C23#55111yescharacteristic
1560C23#55211yescharacteristic
1561C23#55211yescharacteristic
1562C23#55311yescharacteristic
1563C23#55311yescharacteristic
1564C23#55411yescharacteristic
1565C23#55411yescharacteristic
1566C23#55411yescharacteristic
1567C23#55411yescharacteristic
1568C23#55411yescharacteristic
1569C23#55411yescharacteristic
1570C23#55611yescharacteristic
1571C23#55611yescharacteristic
1572C23#55911yescharacteristic
1573C23#56011yescharacteristic
1574C23#56011yescharacteristic
1575C23#56011yescharacteristic
1576C23#56011yescharacteristic
1577C23H(3,𝔽4)11yescharacteristic
1578C23#56211yescharacteristic
1579C23#56211yescharacteristic
1580C23#56211yescharacteristic
1581C23#56211yescharacteristic
1582C23#56211yescharacteristic
1583C23#56211yescharacteristic
1584C23#56311yescharacteristic
1585C23#56311yescharacteristic
1586C23#56311yescharacteristic
1587C23#56311yescharacteristic
1588C23#56311yescharacteristic
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—42no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—42no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—42no—
1692C2×C4—42no—
1693C2×C4—42no—
1694C2×C4—42no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—42no—
1698C2×C4—42no—
1699C2×C4—42no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—42no—
1713C2×C4—42no—
1714C2×C4—42no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—42no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—81no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—81no—
1756C2×C4—81no—
1757C2×C4—81no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—81no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—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#38018yes—
1799C22—44no—
1800C22—44no—
1801C22—44no—
1802C22—44no—
1803C22—44no—
1804C22—44no—
1805C22—44no—
1806C22—82no—
1807C22—82no—
1808C22—82no—
1809C22—82no—
1810C22—82no—
1811C22—82no—
1812C22—82no—
1813C22—82no—
1814C22—82no—
1815C22—82no—
1816C22—82no—
1817C22—82no—
1818C22—82no—
1819C22—82no—
1820C22—82no—
1821C22—82no—
1822C22—82no—
1823C22—82no—
1824C22—82no—
1825C22—82no—
1826C22—82no—
1827C22—82no—
1828C22—82no—
1829C22—82no—
1830C22C2×#38011yescharacteristic
1831C22#229011yescharacteristic
1832C22#229311yescharacteristic
1833C22#231111yescharacteristic
1834C22#231111yescharacteristic
1835C22#231411yescharacteristic
1836C22#231411yescharacteristic
1837C22#231711yescharacteristic
1838C22#231711yescharacteristic
1839C22#231811yescharacteristic
1840C22#231911yescharacteristic
1841C22#232211yescharacteristic
1842C22#232411yescharacteristic
1843C22#232511yescharacteristic
1844C22#232611yescharacteristic
1845C22#233411yescharacteristic
1846C22#233411yescharacteristic
1847C22#233511yescharacteristic
1848C22#233711yescharacteristic
1849C22D4×C22⋊C411yescharacteristic
1850C22D4×C22⋊C411yescharacteristic
1851C22#233911yescharacteristic
1852C22#234111yescharacteristic
1853C22D4×C4⋊C411yescharacteristic
1854C22D4×C4⋊C411yescharacteristic
1855C22#234911yescharacteristic
1856C22#234911yescharacteristic
1857C22#235911yescharacteristic
1858C22#236111yescharacteristic
1859C22#236711yescharacteristic
1860C22#237311yescharacteristic
1861C22#237611yescharacteristic
1862C22#237711yescharacteristic
1863C22#237911yescharacteristic
1864C22#238311yescharacteristic
1865C22#242411yescharacteristic
1866C22#242411yescharacteristic
1867C22#242511yescharacteristic
1868C22#242511yescharacteristic
1869C22#242711yescharacteristic
1870C22#242711yescharacteristic
1871C22#242811yescharacteristic
1872C22#242811yescharacteristic
1873C22#244911yescharacteristic
1874C22#244911yescharacteristic
1875C22#245011yescharacteristic
1876C22#245011yescharacteristic
1877C22#245211yescharacteristic
1878C22#245211yescharacteristic
1879C22#245411yescharacteristic
1880C22#245411yescharacteristic
1881C22#245811yescharacteristic
1882C22#246111yescharacteristic
1883C22#246411yescharacteristic
1884C22#246911yescharacteristic
1885C22#251611yescharacteristic
1886C22#251911yescharacteristic
1887C22#252111yescharacteristic
1888C22#252511yescharacteristic
1889C22#261911yescharacteristic
1890C22#262011yescharacteristic
1891C22#262011yescharacteristic
1892C22#262111yescharacteristic
1893C22#262811yescharacteristic
1894C22#262811yescharacteristic
1895C22#262911yescharacteristic
1896C22#262911yescharacteristic
1897C22#263011yescharacteristic
1898C22#263211yescharacteristic
1899C22#263511yescharacteristic
1900C22#263711yescharacteristic
1901C22#264911yescharacteristic
1902C22#265011yescharacteristic
1903C22#265011yescharacteristic
1904C22#265111yescharacteristic
1905C22#265111yescharacteristic
1906C22#265311yescharacteristic
1907C22#265411yescharacteristic
1908C22#265411yescharacteristic
1909C22#266111yescharacteristic
1910C22#266211yescharacteristic
1911C22#266311yescharacteristic
1912C22#266411yescharacteristic
1913C22#266911yescharacteristic
1914C22#266911yescharacteristic
1915C22#267011yescharacteristic
1916C22#267011yescharacteristic
1917C22#267111yescharacteristic
1918C22#267211yescharacteristic
1919C22#267211yescharacteristic
1920C22#267211yescharacteristic
1921C22#267311yescharacteristic
1922C22#267411yescharacteristic
1923C22#267411yescharacteristic
1924C22#267411yescharacteristic
1925C22#267511yescharacteristic
1926C22#267611yescharacteristic
1927C22#267611yescharacteristic
1928C22#267711yescharacteristic
1929C22#267811yescharacteristic
1930C22#268011yescharacteristic
1931C22#268111yescharacteristic
1932C22#268111yescharacteristic
1933C22#268111yescharacteristic
1934C22#268211yescharacteristic
1935C22#268511yescharacteristic
1936C22#268711yescharacteristic
1937C22#268911yescharacteristic
1938C22#269111yescharacteristic
1939C22#269411yescharacteristic
1940C22#269611yescharacteristic
1941C22#269811yescharacteristic
1942C22#270011yescharacteristic
1943C22#270011yescharacteristic
1944C22#270211yescharacteristic
1945C22#270311yescharacteristic
1946C22#270311yescharacteristic
1947C22#270411yescharacteristic
1948C22#270411yescharacteristic
1949C22#270511yescharacteristic
1950C22#270511yescharacteristic
1951C22#270611yescharacteristic
1952C22#270711yescharacteristic
1953C22#271011yescharacteristic
1954C22#271011yescharacteristic
1955C22#271211yescharacteristic
1956C22#271411yescharacteristic
1957C22#271511yescharacteristic
1958C22#271611yescharacteristic
1959C22#271811yescharacteristic
1960C22#272011yescharacteristic
1961C22#272011yescharacteristic
1962C22#272111yescharacteristic
1963C22#272311yescharacteristic
1964C22#272511yescharacteristic
1965C22#272711yescharacteristic
1966C22#272911yescharacteristic
1967C22#272911yescharacteristic
1968C22#274211yescharacteristic
1969C22#276311yescharacteristic
1970C22#276811yescharacteristic
1971C22#276811yescharacteristic
1972C22#278811yescharacteristic
1973C22#278811yescharacteristic
1974C22#279011yescharacteristic
1975C22#279011yescharacteristic
1976C22#280711yescharacteristic
1977C22#282811yescharacteristic
1978C22#282911yescharacteristic
1979C22#283111yescharacteristic
1980C22#283211yescharacteristic
1981C22#283611yescharacteristic
1982C22#283711yescharacteristic
1983C22#283711yescharacteristic
1984C22#283811yescharacteristic
1985C4—28no—
1986C4—44no—
1987C4—44no—
1988C4—44no—
1989C4—44no—
1990C4—44no—
1991C4—82no—
1992C4—82no—
1993C4—82no—
1994C4—82no—
1995C4—82no—
1996C4—82no—
1997C4—82no—
1998C4—82no—
1999C2—84no—
2000C2#1389911yescharacteristic
2001C2#1392011yescharacteristic
2002C2#1414611yescharacteristic
2003C2#1426811yescharacteristic
2004C2#1427911yescharacteristic
2005C2#1434011yescharacteristic
2006C2#1436011yescharacteristic
2007C2#1436111yescharacteristic
2008C2#1440311yescharacteristic
2009C2#1440511yescharacteristic
2010C2#1442111yescharacteristic
2011C2#1444211yescharacteristic
2012C2#1448811yescharacteristic
2013C2#1449311yescharacteristic
2014C2#1467111yescharacteristic
2015C2#1629011yescharacteristic
2016C2#1629111yescharacteristic
2017C2#1629411yescharacteristic
2018C2#1629511yescharacteristic
2019C2#1632611yescharacteristic
2020C2#1632711yescharacteristic
2021C2#1633011yescharacteristic
2022C2#1633111yescharacteristic
2023C2#1646611yescharacteristic
2024C2#1646711yescharacteristic
2025C2#1646811yescharacteristic
2026C2#1646911yescharacteristic
2027C2#1647711yescharacteristic
2028C2#1647811yescharacteristic
2029C2#1647911yescharacteristic
2030C2#1648011yescharacteristic
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×#1444C2semidirect
3. C2×#1442C2semidirect
4. C2×#1441C2semidirect
9. C2×C4⋊#95C2semidirect
10. #7557C2semidirect
11. #7557C2semidirect
12. #7556C2semidirect
15. #7554C2semidirect
31. C2×#388C4semidirect
560. C2×C22⋊C4C4⋊C4semidirect
589. #95C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3882
C2×#14442
C2×#14422
C2×#14412
C2×#14392
C2×C4⋊#952
#75572
#75562
#75552
#75542