Finite Group Databasebeta

← #155539

Subgroups — #155539

Order 512.

4622 conjugacy classes of subgroups.

The subgroup lattice has 2100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#389C211yesmaximal, characteristic, complemented
2C22×#385C211yesmaximal, characteristic
3C22×#385C211yesmaximal, characteristic
4C2×#1444C211yesmaximal, characteristic, complemented
5C2×#1439C211yesmaximal, characteristic
6C2×#1439C211yesmaximal, characteristic
7C2×#1437C211yesmaximal, characteristic
8C2×#1436C211yesmaximal, characteristic, complemented
9C2×C22⋊#95C211yesmaximal, characteristic
10#7557C211yesmaximal, characteristic, complemented
11#7557C211yesmaximal, characteristic, complemented
12#7557C211yesmaximal, characteristic, complemented
13#7557C211yesmaximal, characteristic, complemented
14#7556C211yesmaximal, characteristic, complemented
15#7555C211yesmaximal, characteristic
16C25×C4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28C23×C22⋊C4C2211yescharacteristic
29C23×C42C2211yescharacteristic
30C2×#389—24no—
31C2×#389—24no—
32C2×#389—24no—
33C2×#385—24no—
34C2×#385—24no—
35C2×#385—24no—
36C2×#385—24no—
37C2×#385—24no—
38C2×#385—24no—
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
54C22×#95C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57C22×#95C2211yescharacteristic
58C22×#95C2211yescharacteristic
59C22×#95C2211yescharacteristic
60#1444—24no—
61#1439—24no—
62#1439C418yescomplemented
63#1437—24no—
64#1436—24no—
65C22⋊#95—24no—
66C26C2311yescharacteristic
67C24×C4—22no—
68C24×C4—22no—
69C24×C4—22no—
70C24×C4—22no—
71C24×C4—22no—
72C24×C4—22no—
73C24×C4—22no—
74C24×C4—22no—
75C24×C4—22no—
76C24×C4—41no—
77C24×C4—41no—
78C24×C4—41no—
79C24×C4—41no—
80C24×C4—41no—
81C24×C4—41no—
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C22×C4⋊C4—22no—
97C22×C4⋊C4—22no—
98C22×C4⋊C4—22no—
99C22×C4⋊C4—22no—
100C22×C4⋊C4—22no—
101C22×C4⋊C4—22no—
102C22×C4⋊C4—22no—
103C22×C4⋊C4—22no—
104C22×C4⋊C4—22no—
105C22×C4⋊C4—22no—
106C22×C4⋊C4—22no—
107C22×C4⋊C4—22no—
108C22×C4⋊C4—22no—
109C22×C4⋊C4—22no—
110C22×C4⋊C4—22no—
111C22×C4⋊C4—22no—
112C22×C4⋊C4—22no—
113C22×C4⋊C4—22no—
114C22×C4⋊C4—22no—
115C22×C4⋊C4—22no—
116C22×C4⋊C4—22no—
117C22×C4⋊C4—22no—
118C22×C4⋊C4—22no—
119C22×C4⋊C4—22no—
120C22×C4⋊C4—22no—
121C22×C4⋊C4—22no—
122C22×C4⋊C4—22no—
123C22×C4⋊C4—22no—
124C22×C4⋊C4—41no—
125C22×C4⋊C4—41no—
126C22×C4⋊C4—41no—
127C22×C4⋊C4—41no—
128C22×C4⋊C4—41no—
129C22×C4⋊C4—41no—
130C22×C4⋊C4—41no—
131C22×C4⋊C4—41no—
132C22×C4⋊C4—41no—
133C22×C4⋊C4—41no—
134C22×C4⋊C4C2×C414yescomplemented
135C22×C4⋊C4D414yes—
136C22×C4⋊C4D414yes—
137C22×C4⋊C4D414yes—
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—22no—
148C22×C22⋊C4—22no—
149C22×C22⋊C4—22no—
150C22×C22⋊C4—22no—
151C22×C22⋊C4—22no—
152C22×C22⋊C4—22no—
153C22×C22⋊C4—22no—
154C22×C22⋊C4—22no—
155C22×C22⋊C4—22no—
156C22×C22⋊C4—22no—
157C22×C22⋊C4—22no—
158C22×C22⋊C4—22no—
159C22×C22⋊C4—22no—
160C22×C22⋊C4—22no—
161C22×C22⋊C4—22no—
162C22×C22⋊C4—22no—
163C22×C22⋊C4—22no—
164C22×C22⋊C4—22no—
165C22×C22⋊C4—41no—
166C22×C22⋊C4—41no—
167C22×C22⋊C4—41no—
168C22×C22⋊C4—41no—
169C22×C22⋊C4—41no—
170C22×C22⋊C4—41no—
171C22×C22⋊C4—41no—
172C22×C22⋊C4—41no—
173C22×C22⋊C4C2×C414yes—
174C22×C22⋊C4C2×C414yes—
175C22×C22⋊C4C2×C414yes—
176C22×C22⋊C4D414yes—
177C22×C22⋊C4D414yes—
178C22×C22⋊C4Q814yes—
179C22×C22⋊C4Q814yes—
180C22×C42—22no—
181C22×C42—22no—
182C22×C42—22no—
183C22×C42—22no—
184C22×C42—22no—
185C22×C42—41no—
186C22×C42—41no—
187#389—232no—
188#385—232no—
189#385—232no—
190C2×#95—22no—
191C2×#95—22no—
192C2×#95—22no—
193C2×#95—22no—
194C2×#95—22no—
195C2×#95—22no—
196C2×#95—22no—
197C2×#95—22no—
198C2×#95—22no—
199C2×#95—22no—
200C2×#95—22no—
201C2×#95—22no—
202C2×#95—22no—
203C2×#95—22no—
204C2×#95—22no—
205C2×#95—22no—
206C2×#95—22no—
207C2×#95—22no—
208C2×#95—22no—
209C2×#95—22no—
210C2×#95—22no—
211C2×#95—22no—
212C2×#95—22no—
213C2×#95—22no—
214C2×#95—22no—
215C2×#95—22no—
216C2×#95—22no—
217C2×#95—22no—
218C2×#95—22no—
219C2×#95—22no—
220C2×#95—22no—
221C2×#95—22no—
222C2×#95—22no—
223C2×#95—22no—
224C2×#95—22no—
225C2×#95—22no—
226C2×#95—22no—
227C2×#95—22no—
228C2×#95—22no—
229C2×#95—22no—
230C2×#95—22no—
231C2×#95—22no—
232C2×#95—41no—
233C2×#95—41no—
234C2×#95—41no—
235C2×#95—41no—
236C2×#95—41no—
237C2×#95—41no—
238C2×#95—41no—
239C2×#95—41no—
240C2×#95—41no—
241C2×#95—41no—
242C2×#95—41no—
243C2×#95—41no—
244C2×#95—41no—
245C2×#95—41no—
246C2×#95—41no—
247C2×#95—41no—
248C2×#95C2×C414yescomplemented
249C2×#95C2×C414yescomplemented
250C2×#95C2×C414yescomplemented
251C2×#95D414yes—
252C2×#95D414yes—
253C25—21no—
254C25—21no—
255C25—21no—
256C25—21no—
257C25—21no—
258C25—21no—
259C25—21no—
260C25—21no—
261C25—21no—
262C25—21no—
263C25—21no—
264C25—21no—
265C25—21no—
266C25—21no—
267C25—21no—
268C25—21no—
269C25—21no—
270C25—21no—
271C25—21no—
272C25—21no—
273C25—21no—
274C25—21no—
275C25—21no—
276C25—21no—
277C25C22×C412yes—
278C25C2×D412yes—
279C25C2×D412yes—
280C25C2×Q812yes—
281C25C2×Q812yes—
282C25#4112yes—
283C25#4112yes—
284C25C2411yescharacteristic
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—28no—
390C23×C4—28no—
391C23×C4—28no—
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—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×C4—44no—
479C23×C4—44no—
480C23×C4—44no—
481C23×C4—44no—
482C23×C4—44no—
483C23×C4—44no—
484C23×C4—44no—
485C23×C4—44no—
486C23×C4—44no—
487C23×C4—44no—
488C23×C4—44no—
489C23×C4—44no—
490C23×C4—44no—
491C23×C4—44no—
492C23×C4—44no—
493C23×C4—44no—
494C23×C4C22×C412yes—
495C23×C4C22×C412yes—
496C23×C4C22×C412yes—
497C23×C4C22×C412yes—
498C23×C4C22×C412yes—
499C23×C4C22×C412yes—
500C23×C4C2×D412yes—
501C23×C4C2×D412yes—
502C23×C4C2×D412yes—
503C23×C4C2×D412yes—
504C23×C4C2×D412yes—
505C23×C4C2×D412yes—
506C23×C4C2×D412yes—
507C23×C4C2×D412yes—
508C23×C4C2×D412yes—
509C23×C4C2×D412yes—
510C23×C4C2×D412yes—
511C23×C4C2×D412yes—
512C23×C4C2×D412yes—
513C23×C4C2×D412yes—
514C23×C4C2×D412yes—
515C23×C4C2×D412yes—
516C23×C4C2×D412yes—
517C23×C4C2×D412yes—
518C23×C4C2×D412yes—
519C23×C4C2×Q812yes—
520C23×C4C2×Q812yes—
521C23×C4C2×Q812yes—
522C23×C4C2×Q812yes—
523C23×C4#4112yes—
524C23×C4#4112yes—
525C23×C4#4112yes—
526C23×C4#4112yes—
527C23×C4#4112yes—
528C23×C4#4112yes—
529C23×C4#4112yes—
530C2×C4⋊C4—28no—
531C2×C4⋊C4—28no—
532C2×C4⋊C4—28no—
533C2×C4⋊C4—28no—
534C2×C4⋊C4—28no—
535C2×C4⋊C4—28no—
536C2×C4⋊C4—28no—
537C2×C4⋊C4—28no—
538C2×C4⋊C4—28no—
539C2×C4⋊C4—28no—
540C2×C4⋊C4—28no—
541C2×C4⋊C4—28no—
542C2×C4⋊C4—28no—
543C2×C4⋊C4—28no—
544C2×C4⋊C4—28no—
545C2×C4⋊C4—44no—
546C2×C4⋊C4—44no—
547C2×C4⋊C4—44no—
548C2×C4⋊C4—44no—
549C2×C4⋊C4—44no—
550C2×C4⋊C4—44no—
551C2×C4⋊C4—44no—
552C2×C4⋊C4—44no—
553C2×C4⋊C4—44no—
554C2×C4⋊C4—44no—
555C2×C4⋊C4—44no—
556C2×C4⋊C4—44no—
557C2×C4⋊C4—44no—
558C2×C4⋊C4—44no—
559C2×C4⋊C4—44no—
560C2×C4⋊C4—44no—
561C2×C4⋊C4—44no—
562C2×C4⋊C4—44no—
563C2×C4⋊C4—44no—
564C2×C4⋊C4—44no—
565C2×C4⋊C4—44no—
566C2×C4⋊C4—44no—
567C2×C4⋊C4—44no—
568C2×C4⋊C4—44no—
569C2×C4⋊C4—44no—
570C2×C4⋊C4—44no—
571C2×C4⋊C4—44no—
572C2×C22⋊C4—28no—
573C2×C22⋊C4—28no—
574C2×C22⋊C4—28no—
575C2×C22⋊C4—28no—
576C2×C22⋊C4—28no—
577C2×C22⋊C4—28no—
578C2×C22⋊C4—28no—
579C2×C22⋊C4—28no—
580C2×C22⋊C4—28no—
581C2×C22⋊C4—28no—
582C2×C22⋊C4—28no—
583C2×C22⋊C4—28no—
584C2×C22⋊C4—28no—
585C2×C22⋊C4—28no—
586C2×C22⋊C4—28no—
587C2×C22⋊C4—28no—
588C2×C22⋊C4—28no—
589C2×C22⋊C4—28no—
590C2×C22⋊C4—28no—
591C2×C22⋊C4—28no—
592C2×C22⋊C4—44no—
593C2×C22⋊C4—44no—
594C2×C22⋊C4—44no—
595C2×C22⋊C4—44no—
596C2×C22⋊C4—44no—
597C2×C22⋊C4—44no—
598C2×C22⋊C4—44no—
599C2×C22⋊C4—44no—
600C2×C22⋊C4—44no—
601C2×C22⋊C4—44no—
602C2×C22⋊C4—44no—
603C2×C22⋊C4—44no—
604C2×C22⋊C4—44no—
605C2×C22⋊C4—44no—
606C2×C22⋊C4—44no—
607C2×C22⋊C4—44no—
608C2×C22⋊C4—44no—
609C2×C22⋊C4—44no—
610C2×C22⋊C4—44no—
611C2×C22⋊C4—44no—
612C2×C22⋊C4—44no—
613C2×C22⋊C4C4⋊C4116yescomplemented
614C2×C42—28no—
615C2×C42—44no—
616C2×C42—44no—
617C2×C42—44no—
618C2×C42—44no—
619C2×C42—44no—
620C2×C42—44no—
621#95—28no—
622#95—28no—
623#95—28no—
624#95—28no—
625#95—28no—
626#95—28no—
627#95—28no—
628#95—28no—
629#95—28no—
630#95—44no—
631#95—44no—
632#95—44no—
633#95—44no—
634#95—44no—
635#95—44no—
636#95—44no—
637#95—44no—
638#95—44no—
639#95—44no—
640#95—44no—
641#95—44no—
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—22no—
679C24—22no—
680C24—22no—
681C24—22no—
682C24—22no—
683C24—22no—
684C24—22no—
685C24—22no—
686C24—22no—
687C24—22no—
688C24—22no—
689C24—22no—
690C24—22no—
691C24—22no—
692C24—22no—
693C24—22no—
694C24—22no—
695C24—22no—
696C24—22no—
697C24—22no—
698C24—22no—
699C24—22no—
700C24—22no—
701C24—22no—
702C24—22no—
703C24—22no—
704C24—22no—
705C24—22no—
706C24—22no—
707C24—22no—
708C24—22no—
709C24—22no—
710C24—22no—
711C24—22no—
712C24—22no—
713C24—22no—
714C24—22no—
715C24—22no—
716C24—22no—
717C24—22no—
718C24—22no—
719C24—22no—
720C24—22no—
721C24—22no—
722C24—22no—
723C24—22no—
724C24—22no—
725C24—22no—
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—
748C24—41no—
749C24—41no—
750C24—41no—
751C24—41no—
752C24—41no—
753C24—41no—
754C24—41no—
755C24—41no—
756C24—41no—
757C24—41no—
758C24—41no—
759C24—41no—
760C24—41no—
761C24—41no—
762C24—41no—
763C24—41no—
764C24—41no—
765C24—41no—
766C24—41no—
767C24—41no—
768C24—41no—
769C24—41no—
770C24—41no—
771C24—41no—
772C24—41no—
773C24—41no—
774C24—41no—
775C24—41no—
776C24—41no—
777C24—41no—
778C24—41no—
779C24—41no—
780C24—41no—
781C24—41no—
782C24—41no—
783C24—41no—
784C24—41no—
785C24—41no—
786C24—41no—
787C24—41no—
788C24—41no—
789C24—41no—
790C24C2×C4⋊C414yes—
791C24C4×D414yes—
792C24C4×Q814yes—
793C24#12114yes—
794C24C22⋊Q814yes—
795C24#12514yes—
796C24C4⋊Q814yes—
797C24C23×C411yescharacteristic
798C24C22×D411yescharacteristic
799C24C22×D411yescharacteristic
800C24C22×D411yescharacteristic
801C24C22×D411yescharacteristic
802C24C22×D411yescharacteristic
803C24C22×D411yescharacteristic
804C24C22×D411yescharacteristic
805C24C22×Q811yescharacteristic
806C24C22×Q811yescharacteristic
807C24C2×#4111yescharacteristic
808C24C2×#4111yescharacteristic
809C24C2×#4111yescharacteristic
810C24C2×#4111yescharacteristic
811C24C2×#4111yescharacteristic
812C24C2×#4111yescharacteristic
813C24C2×#4111yescharacteristic
814C24C2×#4111yescharacteristic
815C24C2×#4111yescharacteristic
816C24H(5,𝔽2)11yescharacteristic
817C24H(5,𝔽2)11yescharacteristic
818C24H(5,𝔽2)11yescharacteristic
819C24H(5,𝔽2)11yescharacteristic
820C24H(5,𝔽2)11yescharacteristic
821C24H(5,𝔽2)11yescharacteristic
822C24H(5,𝔽2)11yescharacteristic
823C242−1+411yescharacteristic
824C242−1+411yescharacteristic
825C242−1+411yescharacteristic
826C242−1+411yescharacteristic
827C242−1+411yescharacteristic
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—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—416no—
1036C22×C4—416no—
1037C22×C4—416no—
1038C22×C4—416no—
1039C22×C4—416no—
1040C22×C4—416no—
1041C22×C4—416no—
1042C22×C4—416no—
1043C22×C4—416no—
1044C22×C4—416no—
1045C22×C4—416no—
1046C22×C4—416no—
1047C22×C4—416no—
1048C22×C4—416no—
1049C22×C4—416no—
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×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4C2×C4⋊C414yes—
1319C22×C4C2×C4⋊C414yes—
1320C22×C4C4×D414yes—
1321C22×C4C4×D414yes—
1322C22×C4C4×D414yes—
1323C22×C4C4×D414yes—
1324C22×C4C4×D414yes—
1325C22×C4#12014yes—
1326C22×C4#12014yes—
1327C22×C4#12014yes—
1328C22×C4#12114yes—
1329C22×C4C22⋊Q814yes—
1330C22×C4C22⋊Q814yes—
1331C22×C4C22⋊Q814yes—
1332C22×C4#12314yes—
1333C4⋊C4—232no—
1334C4⋊C4—416no—
1335C4⋊C4—416no—
1336C4⋊C4—416no—
1337C4⋊C4—416no—
1338C4⋊C4—416no—
1339C22⋊C4—232no—
1340C22⋊C4—232no—
1341C22⋊C4—416no—
1342C22⋊C4—416no—
1343C22⋊C4—416no—
1344C22⋊C4—416no—
1345C42—416no—
1346C23—24no—
1347C23—24no—
1348C23—24no—
1349C23—24no—
1350C23—24no—
1351C23—24no—
1352C23—24no—
1353C23—24no—
1354C23—24no—
1355C23—24no—
1356C23—24no—
1357C23—24no—
1358C23—24no—
1359C23—24no—
1360C23—24no—
1361C23—24no—
1362C23—24no—
1363C23—24no—
1364C23—24no—
1365C23—24no—
1366C23—24no—
1367C23—24no—
1368C23—24no—
1369C23—24no—
1370C23—24no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
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—42no—
1449C23—42no—
1450C23—42no—
1451C23—42no—
1452C23—42no—
1453C23—42no—
1454C23—42no—
1455C23—42no—
1456C23—42no—
1457C23—42no—
1458C23—42no—
1459C23—42no—
1460C23—42no—
1461C23—42no—
1462C23—42no—
1463C23—42no—
1464C23—42no—
1465C23—42no—
1466C23—42no—
1467C23—42no—
1468C23—42no—
1469C23—42no—
1470C23—42no—
1471C23—42no—
1472C23—42no—
1473C23—42no—
1474C23—42no—
1475C23—42no—
1476C23—42no—
1477C23—42no—
1478C23—42no—
1479C23—42no—
1480C23—42no—
1481C23—42no—
1482C23—42no—
1483C23—42no—
1484C23—42no—
1485C23—42no—
1486C23—42no—
1487C23—42no—
1488C23—42no—
1489C23—42no—
1490C23—42no—
1491C23—42no—
1492C23—42no—
1493C23—42no—
1494C23—42no—
1495C23—42no—
1496C23—42no—
1497C23—42no—
1498C23—42no—
1499C23—42no—
1500C23#38918yescomplemented
1501C23C22×C4⋊C411yescharacteristic
1502C23C2×C4×D411yescharacteristic
1503C23C2×C4×D411yescharacteristic
1504C23C2×C4×D411yescharacteristic
1505C23C2×C4×D411yescharacteristic
1506C23C2×C4×D411yescharacteristic
1507C23C2×C4×D411yescharacteristic
1508C23C2×C4×Q811yescharacteristic
1509C23C4×#4111yescharacteristic
1510C23#51811yescharacteristic
1511C23#52011yescharacteristic
1512C23#52011yescharacteristic
1513C23#52011yescharacteristic
1514C23#52011yescharacteristic
1515C23#52011yescharacteristic
1516C23C2×#12011yescharacteristic
1517C23C2×#12011yescharacteristic
1518C23C2×#12011yescharacteristic
1519C23C2×#12111yescharacteristic
1520C23C2×#12111yescharacteristic
1521C23C2×C22⋊Q811yescharacteristic
1522C23C2×C22⋊Q811yescharacteristic
1523C23C2×C22⋊Q811yescharacteristic
1524C23C2×C22⋊Q811yescharacteristic
1525C23C2×#12311yescharacteristic
1526C23#52511yescharacteristic
1527C23#52511yescharacteristic
1528C23#52511yescharacteristic
1529C23#52511yescharacteristic
1530C23#52511yescharacteristic
1531C23#52511yescharacteristic
1532C23#52511yescharacteristic
1533C23#52511yescharacteristic
1534C23C2×#12511yescharacteristic
1535C23#52911yescharacteristic
1536C23#52911yescharacteristic
1537C23C2×C4⋊Q811yescharacteristic
1538C23#53211yescharacteristic
1539C23#53311yescharacteristic
1540C23#53411yescharacteristic
1541C23#53411yescharacteristic
1542C23#53411yescharacteristic
1543C23#53411yescharacteristic
1544C23#53511yescharacteristic
1545C23#53511yescharacteristic
1546C23#53511yescharacteristic
1547C23#53611yescharacteristic
1548C23#53611yescharacteristic
1549C23#53611yescharacteristic
1550C23#53611yescharacteristic
1551C23#53611yescharacteristic
1552C23#53711yescharacteristic
1553C23#53711yescharacteristic
1554C23#53811yescharacteristic
1555C23#53811yescharacteristic
1556C23#53811yescharacteristic
1557C23#53911yescharacteristic
1558C23#53911yescharacteristic
1559C23#53911yescharacteristic
1560C23#53911yescharacteristic
1561C23#53911yescharacteristic
1562C23#53911yescharacteristic
1563C23#53911yescharacteristic
1564C23#53911yescharacteristic
1565C23#53911yescharacteristic
1566C23#54011yescharacteristic
1567C23#54111yescharacteristic
1568C23#54211yescharacteristic
1569C23#54211yescharacteristic
1570C23#54211yescharacteristic
1571C23#54211yescharacteristic
1572C23#54311yescharacteristic
1573C23#54411yescharacteristic
1574C23#54411yescharacteristic
1575C23#54411yescharacteristic
1576C23D4211yescharacteristic
1577C23D4211yescharacteristic
1578C23D4211yescharacteristic
1579C23D4211yescharacteristic
1580C23D4211yescharacteristic
1581C23D4211yescharacteristic
1582C23D4211yescharacteristic
1583C23D4211yescharacteristic
1584C23D4211yescharacteristic
1585C23D4211yescharacteristic
1586C23#54611yescharacteristic
1587C23#54611yescharacteristic
1588C23#54611yescharacteristic
1589C23#54611yescharacteristic
1590C23#54611yescharacteristic
1591C23#54611yescharacteristic
1592C23#54611yescharacteristic
1593C23#54611yescharacteristic
1594C23#54611yescharacteristic
1595C23#54611yescharacteristic
1596C23#54611yescharacteristic
1597C23#54711yescharacteristic
1598C23#54711yescharacteristic
1599C23#54711yescharacteristic
1600C23#54711yescharacteristic
1601C23#54711yescharacteristic
1602C23#54711yescharacteristic
1603C23#54711yescharacteristic
1604C23#54711yescharacteristic
1605C23#54711yescharacteristic
1606C23#54811yescharacteristic
1607C23#54811yescharacteristic
1608C23#54811yescharacteristic
1609C23#54811yescharacteristic
1610C23#54811yescharacteristic
1611C23#54811yescharacteristic
1612C23#54811yescharacteristic
1613C23D4×Q811yescharacteristic
1614C23D4×Q811yescharacteristic
1615C23D4×Q811yescharacteristic
1616C23D4×Q811yescharacteristic
1617C23D4×Q811yescharacteristic
1618C23D4×Q811yescharacteristic
1619C23D4×Q811yescharacteristic
1620C23#55011yescharacteristic
1621C23#55011yescharacteristic
1622C23#55111yescharacteristic
1623C23#55111yescharacteristic
1624C23#55211yescharacteristic
1625C23#55211yescharacteristic
1626C23#55211yescharacteristic
1627C23#55211yescharacteristic
1628C23#55211yescharacteristic
1629C23#55311yescharacteristic
1630C23#55311yescharacteristic
1631C23#55311yescharacteristic
1632C23#55311yescharacteristic
1633C23#55311yescharacteristic
1634C23#55411yescharacteristic
1635C23#55411yescharacteristic
1636C23#55411yescharacteristic
1637C23#55411yescharacteristic
1638C23#55411yescharacteristic
1639C23#55411yescharacteristic
1640C23#55411yescharacteristic
1641C23#55411yescharacteristic
1642C23#55411yescharacteristic
1643C23#55611yescharacteristic
1644C23#55611yescharacteristic
1645C23#55911yescharacteristic
1646C23#55911yescharacteristic
1647C23#55911yescharacteristic
1648C23#56011yescharacteristic
1649C23#56011yescharacteristic
1650C23#56211yescharacteristic
1651C23#56211yescharacteristic
1652C23#56311yescharacteristic
1653C23#56311yescharacteristic
1654C23#56311yescharacteristic
1655C23#56311yescharacteristic
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—464no—
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—42no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—42no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—42no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—42no—
1822C2×C4—42no—
1823C2×C4—42no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—81no—
1831C2×C4—81no—
1832C2×C4—81no—
1833C2×C4—81no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4—81no—
1855C2×C4—81no—
1856C2×C4—81no—
1857C2×C4—81no—
1858C2×C4—81no—
1859C2×C4—81no—
1860C2×C4—81no—
1861C2×C4—81no—
1862C2×C4—81no—
1863C2×C4—81no—
1864C2×C4—81no—
1865C2×C4—81no—
1866C2×C4#38518yescomplemented
1867C22—28no—
1868C22—28no—
1869C22—28no—
1870C22—44no—
1871C22—44no—
1872C22—44no—
1873C22—44no—
1874C22—44no—
1875C22—44no—
1876C22—44no—
1877C22—44no—
1878C22—44no—
1879C22—44no—
1880C22—44no—
1881C22—44no—
1882C22—44no—
1883C22—44no—
1884C22—44no—
1885C22—44no—
1886C22—44no—
1887C22—44no—
1888C22—44no—
1889C22—44no—
1890C22—44no—
1891C22—44no—
1892C22—44no—
1893C22—44no—
1894C22—44no—
1895C22—44no—
1896C22—44no—
1897C22—44no—
1898C22C2×#38511yescharacteristic
1899C22C2×#38911yescharacteristic
1900C22C4×#12011yescharacteristic
1901C22C4×#12011yescharacteristic
1902C22C4×#12111yescharacteristic
1903C22C4×C22⋊Q811yescharacteristic
1904C22#231711yescharacteristic
1905C22#232211yescharacteristic
1906C22#232211yescharacteristic
1907C22#232211yescharacteristic
1908C22#232411yescharacteristic
1909C22#232511yescharacteristic
1910C22#232611yescharacteristic
1911C22#232911yescharacteristic
1912C22#233411yescharacteristic
1913C22D4×C4⋊C411yescharacteristic
1914C22D4×C4⋊C411yescharacteristic
1915C22D4×C4⋊C411yescharacteristic
1916C22#234911yescharacteristic
1917C22#235811yescharacteristic
1918C22#235911yescharacteristic
1919C22#236011yescharacteristic
1920C22#236011yescharacteristic
1921C22#236011yescharacteristic
1922C22#236011yescharacteristic
1923C22#236111yescharacteristic
1924C22#236111yescharacteristic
1925C22#236111yescharacteristic
1926C22#236111yescharacteristic
1927C22#236111yescharacteristic
1928C22#236611yescharacteristic
1929C22#236711yescharacteristic
1930C22#236711yescharacteristic
1931C22#237611yescharacteristic
1932C22#238311yescharacteristic
1933C22#240311yescharacteristic
1934C22#240311yescharacteristic
1935C22#240411yescharacteristic
1936C22#240611yescharacteristic
1937C22#240711yescharacteristic
1938C22#240711yescharacteristic
1939C22#240711yescharacteristic
1940C22#240811yescharacteristic
1941C22#240811yescharacteristic
1942C22#240911yescharacteristic
1943C22#240911yescharacteristic
1944C22#240911yescharacteristic
1945C22#241011yescharacteristic
1946C22#241011yescharacteristic
1947C22#241311yescharacteristic
1948C22#241511yescharacteristic
1949C22#242411yescharacteristic
1950C22#242411yescharacteristic
1951C22#242511yescharacteristic
1952C22#242911yescharacteristic
1953C22#243211yescharacteristic
1954C22#243411yescharacteristic
1955C22#243711yescharacteristic
1956C22#243811yescharacteristic
1957C22#244011yescharacteristic
1958C22#244011yescharacteristic
1959C22#244011yescharacteristic
1960C22#244211yescharacteristic
1961C22#244211yescharacteristic
1962C22#244311yescharacteristic
1963C22#244311yescharacteristic
1964C22#244511yescharacteristic
1965C22#244711yescharacteristic
1966C22#244911yescharacteristic
1967C22#244911yescharacteristic
1968C22#244911yescharacteristic
1969C22#244911yescharacteristic
1970C22#244911yescharacteristic
1971C22#245211yescharacteristic
1972C22#245211yescharacteristic
1973C22#245411yescharacteristic
1974C22#245511yescharacteristic
1975C22#245511yescharacteristic
1976C22#245611yescharacteristic
1977C22#245611yescharacteristic
1978C22#245811yescharacteristic
1979C22#245811yescharacteristic
1980C22#246011yescharacteristic
1981C22#246311yescharacteristic
1982C22#246311yescharacteristic
1983C22#246511yescharacteristic
1984C22#246511yescharacteristic
1985C22#246611yescharacteristic
1986C22#247011yescharacteristic
1987C22#247311yescharacteristic
1988C22#247311yescharacteristic
1989C22#247311yescharacteristic
1990C22#247511yescharacteristic
1991C22#248611yescharacteristic
1992C22#248711yescharacteristic
1993C22#250511yescharacteristic
1994C22#253811yescharacteristic
1995C22#254911yescharacteristic
1996C22#255811yescharacteristic
1997C22#257911yescharacteristic
1998C22#258011yescharacteristic
1999C22#258011yescharacteristic
2000C22#258311yescharacteristic
2001C22#258711yescharacteristic
2002C22#259911yescharacteristic
2003C22#260011yescharacteristic
2004C22#260211yescharacteristic
2005C22#266811yescharacteristic
2006C22#266811yescharacteristic
2007C22#266911yescharacteristic
2008C22#266911yescharacteristic
2009C22#267211yescharacteristic
2010C22#267411yescharacteristic
2011C22#267411yescharacteristic
2012C22#267411yescharacteristic
2013C22#267711yescharacteristic
2014C22#267711yescharacteristic
2015C22#267811yescharacteristic
2016C22#267811yescharacteristic
2017C22#268011yescharacteristic
2018C22#268111yescharacteristic
2019C22#268111yescharacteristic
2020C22#268311yescharacteristic
2021C22#268911yescharacteristic
2022C22#268911yescharacteristic
2023C22#269011yescharacteristic
2024C22#269411yescharacteristic
2025C22#269411yescharacteristic
2026C22#269511yescharacteristic
2027C22#270111yescharacteristic
2028C22#270411yescharacteristic
2029C22#270711yescharacteristic
2030C22#271011yescharacteristic
2031C22#271111yescharacteristic
2032C22#271811yescharacteristic
2033C22#272011yescharacteristic
2034C22#272011yescharacteristic
2035C22#272311yescharacteristic
2036C22#272411yescharacteristic
2037C22#272811yescharacteristic
2038C22#272911yescharacteristic
2039C22#272911yescharacteristic
2040C22#272911yescharacteristic
2041C22#273211yescharacteristic
2042C22#273211yescharacteristic
2043C22#275711yescharacteristic
2044C22#276511yescharacteristic
2045C22#277111yescharacteristic
2046C22#278011yescharacteristic
2047C22#278711yescharacteristic
2048C22#278811yescharacteristic
2049C22#279011yescharacteristic
2050C22#279611yescharacteristic
2051C22#280711yescharacteristic
2052C22#280711yescharacteristic
2053C4—28no—
2054C4—44no—
2055C4—44no—
2056C4—44no—
2057C4—44no—
2058C4—44no—
2059C4—44no—
2060C4—44no—
2061C4—44no—
2062C4—82no—
2063C4—82no—
2064C4—82no—
2065C4—82no—
2066C4—82no—
2067C2—48no—
2068C2#1400411yescharacteristic
2069C2#1401511yescharacteristic
2070C2#1401811yescharacteristic
2071C2#1404311yescharacteristic
2072C2#1413011yescharacteristic
2073C2#1417111yescharacteristic
2074C2#1417211yescharacteristic
2075C2#1418511yescharacteristic
2076C2#1420411yescharacteristic
2077C2#1440511yescharacteristic
2078C2#1444211yescharacteristic
2079C2#1451811yescharacteristic
2080C2#1452611yescharacteristic
2081C2#1454911yescharacteristic
2082C2#1455111yescharacteristic
2083C2#1525711yescharacteristic
2084C2#1526511yescharacteristic
2085C2#1527111yescharacteristic
2086C2#1527611yescharacteristic
2087C2#1535411yescharacteristic
2088C2#1535811yescharacteristic
2089C2#1539711yescharacteristic
2090C2#1539811yescharacteristic
2091C2#1540611yescharacteristic
2092C2#1542111yescharacteristic
2093C2#1544111yescharacteristic
2094C2#1546211yescharacteristic
2095C2#1595111yescharacteristic
2096C2#1597211yescharacteristic
2097C2#1597511yescharacteristic
2098C2#1599611yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC25C24
commutatorC24C23×C4
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#389C2semidirect
4. C2×#1444C2semidirect
8. C2×#1436C2semidirect
10. #7557C2semidirect
11. #7557C2semidirect
12. #7557C2semidirect
13. #7557C2semidirect
14. #7556C2semidirect
62. #1439C4semidirect
134. C22×C4⋊C4C2×C4semidirect
248. C2×#95C2×C4semidirect
249. C2×#95C2×C4semidirect
250. C2×#95C2×C4semidirect
613. C2×C22⋊C4C4⋊C4semidirect
1500. C23#389semidirect
1866. C2×C4#385semidirect

Maximal subgroups

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

subgroupindex
C22×#3892
C22×#3852
C2×#14442
C2×#14392
C2×#14372
C2×#14362
C2×C22⋊#952
#75572
#75562
#75552