Finite Group Databasebeta

← #155111

Subgroups — #155111

Order 512.

4534 conjugacy classes of subgroups.

The subgroup lattice has 2099 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#385C211yesmaximal, characteristic
2C22×#385C211yesmaximal, characteristic
3C2×#1444C211yesmaximal, characteristic, complemented
4C2×#1444C211yesmaximal, characteristic, complemented
5C2×#1442C211yesmaximal, characteristic, complemented
6C2×#1441C211yesmaximal, characteristic, complemented
7C2×#1439C211yesmaximal, characteristic
8C2×#1439C211yesmaximal, characteristic
9C2×#1437C211yesmaximal, characteristic
10C2×C4⋊#95C211yesmaximal, characteristic, complemented
11C2×C22⋊#95C211yesmaximal, characteristic
12#7557C211yesmaximal, characteristic, complemented
13#7556C211yesmaximal, characteristic, complemented
14#7555C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic, complemented
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×#385—24no—
31C2×#385—24no—
32C2×#385—24no—
33C2×#385—24no—
34C2×#385—24no—
35C2×#385—24no—
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
54C22×#95C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1444—24no—
58#1444—24no—
59#1442—24no—
60#1441—24no—
61#1439—24no—
62#1439C418yescomplemented
63#1437—24no—
64C4⋊#95—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—41no—
123C22×C4⋊C4—41no—
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⋊C4—41no—
135C22×C4⋊C4—41no—
136C22×C4⋊C4C2×C414yescomplemented
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#385—232no—
188#385—232no—
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—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—22no—
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×#95C2×C414yescomplemented
246C2×#95C2×C414yescomplemented
247C2×#95C2×C414yescomplemented
248C2×#95D414yes—
249C2×#95D414yes—
250C2×#95D414yes—
251C2×#95D414yes—
252C25—21no—
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—
276C25C22×C412yes—
277C25C2×D412yes—
278C25C2×D412yes—
279C25C2×Q812yes—
280C25C2×Q812yes—
281C25#4112yes—
282C25#4112yes—
283C25C2411yescharacteristic
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—28no—
389C23×C4—28no—
390C23×C4—28no—
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—21no—
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—21no—
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4—21no—
437C23×C4—21no—
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—21no—
442C23×C4—21no—
443C23×C4—21no—
444C23×C4—21no—
445C23×C4—21no—
446C23×C4—21no—
447C23×C4—21no—
448C23×C4—21no—
449C23×C4—21no—
450C23×C4—21no—
451C23×C4—21no—
452C23×C4—21no—
453C23×C4—21no—
454C23×C4—21no—
455C23×C4—21no—
456C23×C4—21no—
457C23×C4—21no—
458C23×C4—21no—
459C23×C4—21no—
460C23×C4—21no—
461C23×C4—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×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×C4C22×C412yes—
494C23×C4C22×C412yes—
495C23×C4C22×C412yes—
496C23×C4C22×C412yes—
497C23×C4C22×C412yes—
498C23×C4C22×C412yes—
499C23×C4C2×D412yes—
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×Q812yes—
519C23×C4C2×Q812yes—
520C23×C4C2×Q812yes—
521C23×C4C2×Q812yes—
522C23×C4#4112yes—
523C23×C4#4112yes—
524C23×C4#4112yes—
525C23×C4#4112yes—
526C23×C4#4112yes—
527C23×C4#4112yes—
528C23×C4#4112yes—
529C2×C4⋊C4—28no—
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—44no—
537C2×C4⋊C4—44no—
538C2×C4⋊C4—44no—
539C2×C4⋊C4—44no—
540C2×C4⋊C4—44no—
541C2×C4⋊C4—44no—
542C2×C4⋊C4—44no—
543C2×C4⋊C4—44no—
544C2×C4⋊C4—44no—
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×C22⋊C4—28no—
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—44no—
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⋊C4C4⋊C4116yescomplemented
613C2×C42—28no—
614C2×C42—44no—
615C2×C42—44no—
616C2×C42—44no—
617C2×C42—44no—
618C2×C42—44no—
619C2×C42—44no—
620#95—28no—
621#95—28no—
622#95—28no—
623#95—28no—
624#95—28no—
625#95—28no—
626#95—28no—
627#95—44no—
628#95—44no—
629#95—44no—
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—
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—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—41no—
726C24—41no—
727C24—41no—
728C24—41no—
729C24—41no—
730C24—41no—
731C24—41no—
732C24—41no—
733C24—41no—
734C24—41no—
735C24—41no—
736C24—41no—
737C24—41no—
738C24—41no—
739C24—41no—
740C24—41no—
741C24—41no—
742C24—41no—
743C24—41no—
744C24—41no—
745C24—41no—
746C24—41no—
747C24—41no—
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—
789C24C2×C4⋊C414yes—
790C24C4×D414yes—
791C24C4×Q814yes—
792C24#12114yes—
793C24C22⋊Q814yes—
794C24#12514yes—
795C24C4⋊Q814yes—
796C24C23×C411yescharacteristic
797C24C22×D411yescharacteristic
798C24C22×D411yescharacteristic
799C24C22×D411yescharacteristic
800C24C22×D411yescharacteristic
801C24C22×D411yescharacteristic
802C24C22×D411yescharacteristic
803C24C22×D411yescharacteristic
804C24C22×Q811yescharacteristic
805C24C22×Q811yescharacteristic
806C24C2×#4111yescharacteristic
807C24C2×#4111yescharacteristic
808C24C2×#4111yescharacteristic
809C24C2×#4111yescharacteristic
810C24C2×#4111yescharacteristic
811C24C2×#4111yescharacteristic
812C24C2×#4111yescharacteristic
813C24C2×#4111yescharacteristic
814C24C2×#4111yescharacteristic
815C24H(5,𝔽2)11yescharacteristic
816C24H(5,𝔽2)11yescharacteristic
817C24H(5,𝔽2)11yescharacteristic
818C24H(5,𝔽2)11yescharacteristic
819C24H(5,𝔽2)11yescharacteristic
820C24H(5,𝔽2)11yescharacteristic
821C24H(5,𝔽2)11yescharacteristic
822C242−1+411yescharacteristic
823C242−1+411yescharacteristic
824C242−1+411yescharacteristic
825C242−1+411yescharacteristic
826C242−1+411yescharacteristic
827C22×C4—22no—
828C22×C4—22no—
829C22×C4—22no—
830C22×C4—22no—
831C22×C4—22no—
832C22×C4—22no—
833C22×C4—22no—
834C22×C4—22no—
835C22×C4—22no—
836C22×C4—22no—
837C22×C4—22no—
838C22×C4—22no—
839C22×C4—22no—
840C22×C4—22no—
841C22×C4—22no—
842C22×C4—22no—
843C22×C4—22no—
844C22×C4—22no—
845C22×C4—22no—
846C22×C4—22no—
847C22×C4—22no—
848C22×C4—22no—
849C22×C4—22no—
850C22×C4—22no—
851C22×C4—22no—
852C22×C4—22no—
853C22×C4—22no—
854C22×C4—22no—
855C22×C4—22no—
856C22×C4—22no—
857C22×C4—22no—
858C22×C4—22no—
859C22×C4—22no—
860C22×C4—22no—
861C22×C4—22no—
862C22×C4—22no—
863C22×C4—22no—
864C22×C4—22no—
865C22×C4—22no—
866C22×C4—22no—
867C22×C4—22no—
868C22×C4—22no—
869C22×C4—22no—
870C22×C4—22no—
871C22×C4—22no—
872C22×C4—22no—
873C22×C4—22no—
874C22×C4—22no—
875C22×C4—22no—
876C22×C4—22no—
877C22×C4—22no—
878C22×C4—22no—
879C22×C4—22no—
880C22×C4—22no—
881C22×C4—22no—
882C22×C4—22no—
883C22×C4—22no—
884C22×C4—22no—
885C22×C4—22no—
886C22×C4—22no—
887C22×C4—22no—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—22no—
891C22×C4—22no—
892C22×C4—22no—
893C22×C4—22no—
894C22×C4—22no—
895C22×C4—22no—
896C22×C4—22no—
897C22×C4—22no—
898C22×C4—22no—
899C22×C4—22no—
900C22×C4—22no—
901C22×C4—22no—
902C22×C4—22no—
903C22×C4—22no—
904C22×C4—22no—
905C22×C4—22no—
906C22×C4—22no—
907C22×C4—22no—
908C22×C4—22no—
909C22×C4—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—22no—
914C22×C4—22no—
915C22×C4—22no—
916C22×C4—22no—
917C22×C4—22no—
918C22×C4—22no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
929C22×C4—22no—
930C22×C4—22no—
931C22×C4—22no—
932C22×C4—22no—
933C22×C4—22no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—22no—
950C22×C4—22no—
951C22×C4—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—22no—
958C22×C4—22no—
959C22×C4—22no—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—22no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
970C22×C4—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—416no—
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—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×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×C4C2×C4⋊C414yes—
1318C22×C4C2×C4⋊C414yes—
1319C22×C4C4×D414yes—
1320C22×C4C4×D414yes—
1321C22×C4C4×D414yes—
1322C22×C4C4×D414yes—
1323C22×C4C4×D414yes—
1324C22×C4#12014yes—
1325C22×C4#12014yes—
1326C22×C4#12114yes—
1327C22×C4C22⋊Q814yes—
1328C22×C4C22⋊Q814yes—
1329C22×C4C22⋊Q814yes—
1330C22×C4#12314yes—
1331C22×C4#12714yes—
1332C4⋊C4—416no—
1333C4⋊C4—416no—
1334C4⋊C4—416no—
1335C4⋊C4—416no—
1336C4⋊C4—416no—
1337C4⋊C4—416no—
1338C22⋊C4—232no—
1339C22⋊C4—232no—
1340C22⋊C4—416no—
1341C22⋊C4—416no—
1342C22⋊C4—416no—
1343C22⋊C4—416no—
1344C42—416no—
1345C23—24no—
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—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—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#38918yes—
1500C23C22×C4⋊C411yescharacteristic
1501C23C2×C4×D411yescharacteristic
1502C23C2×C4×D411yescharacteristic
1503C23C2×C4×D411yescharacteristic
1504C23C2×C4×D411yescharacteristic
1505C23C2×C4×D411yescharacteristic
1506C23C2×C4×D411yescharacteristic
1507C23C2×C4×Q811yescharacteristic
1508C23C4×#4111yescharacteristic
1509C23#51811yescharacteristic
1510C23#52011yescharacteristic
1511C23#52011yescharacteristic
1512C23#52011yescharacteristic
1513C23#52011yescharacteristic
1514C23#52011yescharacteristic
1515C23C2×#12011yescharacteristic
1516C23C2×#12011yescharacteristic
1517C23C2×#12111yescharacteristic
1518C23C2×#12111yescharacteristic
1519C23C2×C22⋊Q811yescharacteristic
1520C23C2×C22⋊Q811yescharacteristic
1521C23C2×C22⋊Q811yescharacteristic
1522C23C2×C22⋊Q811yescharacteristic
1523C23C2×#12311yescharacteristic
1524C23#52511yescharacteristic
1525C23#52511yescharacteristic
1526C23#52511yescharacteristic
1527C23#52511yescharacteristic
1528C23#52511yescharacteristic
1529C23C2×#12511yescharacteristic
1530C23#52911yescharacteristic
1531C23#52911yescharacteristic
1532C23C2×#12711yescharacteristic
1533C23C2×C4⋊Q811yescharacteristic
1534C23#53211yescharacteristic
1535C23#53211yescharacteristic
1536C23#53211yescharacteristic
1537C23#53211yescharacteristic
1538C23#53311yescharacteristic
1539C23#53411yescharacteristic
1540C23#53411yescharacteristic
1541C23#53411yescharacteristic
1542C23#53511yescharacteristic
1543C23#53511yescharacteristic
1544C23#53511yescharacteristic
1545C23#53511yescharacteristic
1546C23#53611yescharacteristic
1547C23#53611yescharacteristic
1548C23#53611yescharacteristic
1549C23#53611yescharacteristic
1550C23#53611yescharacteristic
1551C23#53711yescharacteristic
1552C23#53711yescharacteristic
1553C23#53811yescharacteristic
1554C23#53811yescharacteristic
1555C23#53811yescharacteristic
1556C23#53911yescharacteristic
1557C23#53911yescharacteristic
1558C23#53911yescharacteristic
1559C23#53911yescharacteristic
1560C23#53911yescharacteristic
1561C23#53911yescharacteristic
1562C23#53911yescharacteristic
1563C23#54011yescharacteristic
1564C23#54111yescharacteristic
1565C23#54211yescharacteristic
1566C23#54211yescharacteristic
1567C23#54211yescharacteristic
1568C23#54211yescharacteristic
1569C23#54211yescharacteristic
1570C23#54211yescharacteristic
1571C23#54311yescharacteristic
1572C23#54411yescharacteristic
1573C23#54411yescharacteristic
1574C23#54411yescharacteristic
1575C23D4211yescharacteristic
1576C23D4211yescharacteristic
1577C23D4211yescharacteristic
1578C23D4211yescharacteristic
1579C23D4211yescharacteristic
1580C23D4211yescharacteristic
1581C23D4211yescharacteristic
1582C23D4211yescharacteristic
1583C23D4211yescharacteristic
1584C23D4211yescharacteristic
1585C23#54611yescharacteristic
1586C23#54611yescharacteristic
1587C23#54611yescharacteristic
1588C23#54611yescharacteristic
1589C23#54611yescharacteristic
1590C23#54611yescharacteristic
1591C23#54611yescharacteristic
1592C23#54611yescharacteristic
1593C23#54611yescharacteristic
1594C23#54611yescharacteristic
1595C23#54611yescharacteristic
1596C23#54611yescharacteristic
1597C23#54611yescharacteristic
1598C23#54711yescharacteristic
1599C23#54711yescharacteristic
1600C23#54711yescharacteristic
1601C23#54711yescharacteristic
1602C23#54711yescharacteristic
1603C23#54711yescharacteristic
1604C23#54711yescharacteristic
1605C23#54711yescharacteristic
1606C23#54711yescharacteristic
1607C23#54711yescharacteristic
1608C23#54711yescharacteristic
1609C23#54811yescharacteristic
1610C23#54811yescharacteristic
1611C23#54811yescharacteristic
1612C23#54811yescharacteristic
1613C23#54811yescharacteristic
1614C23D4×Q811yescharacteristic
1615C23D4×Q811yescharacteristic
1616C23D4×Q811yescharacteristic
1617C23D4×Q811yescharacteristic
1618C23D4×Q811yescharacteristic
1619C23D4×Q811yescharacteristic
1620C23D4×Q811yescharacteristic
1621C23#55111yescharacteristic
1622C23#55111yescharacteristic
1623C23#55111yescharacteristic
1624C23#55111yescharacteristic
1625C23#55111yescharacteristic
1626C23#55211yescharacteristic
1627C23#55211yescharacteristic
1628C23#55211yescharacteristic
1629C23#55211yescharacteristic
1630C23#55211yescharacteristic
1631C23#55211yescharacteristic
1632C23#55211yescharacteristic
1633C23#55311yescharacteristic
1634C23#55311yescharacteristic
1635C23#55311yescharacteristic
1636C23#55311yescharacteristic
1637C23#55311yescharacteristic
1638C23#55411yescharacteristic
1639C23#55411yescharacteristic
1640C23#55411yescharacteristic
1641C23#55411yescharacteristic
1642C23#55411yescharacteristic
1643C23#55411yescharacteristic
1644C23#55411yescharacteristic
1645C23#55411yescharacteristic
1646C23#55411yescharacteristic
1647C23#56011yescharacteristic
1648C23H(3,𝔽4)11yescharacteristic
1649C23#56211yescharacteristic
1650C23#56211yescharacteristic
1651C23#56311yescharacteristic
1652C23#56311yescharacteristic
1653C23#56311yescharacteristic
1654C23#56311yescharacteristic
1655C2×C4—24no—
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—464no—
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—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—81no—
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#38518yescomplemented
1866C22—28no—
1867C22—28no—
1868C22—28no—
1869C22—44no—
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—
1897C22C2×#38511yescharacteristic
1898C22C2×#38911yescharacteristic
1899C22C4×#12011yescharacteristic
1900C22C4×#12111yescharacteristic
1901C22C4×C22⋊Q811yescharacteristic
1902C22C4×#12711yescharacteristic
1903C22#231711yescharacteristic
1904C22#232211yescharacteristic
1905C22#232211yescharacteristic
1906C22#232411yescharacteristic
1907C22#232511yescharacteristic
1908C22#232611yescharacteristic
1909C22#232611yescharacteristic
1910C22#232911yescharacteristic
1911C22#233411yescharacteristic
1912C22D4×C4⋊C411yescharacteristic
1913C22D4×C4⋊C411yescharacteristic
1914C22D4×C4⋊C411yescharacteristic
1915C22#234911yescharacteristic
1916C22#235811yescharacteristic
1917C22#235811yescharacteristic
1918C22#235911yescharacteristic
1919C22#235911yescharacteristic
1920C22#235911yescharacteristic
1921C22#236011yescharacteristic
1922C22#236011yescharacteristic
1923C22#236011yescharacteristic
1924C22#236011yescharacteristic
1925C22#236111yescharacteristic
1926C22#236111yescharacteristic
1927C22#236111yescharacteristic
1928C22#236111yescharacteristic
1929C22#236111yescharacteristic
1930C22#237911yescharacteristic
1931C22#238311yescharacteristic
1932C22#240611yescharacteristic
1933C22#240811yescharacteristic
1934C22#240811yescharacteristic
1935C22#240911yescharacteristic
1936C22#241011yescharacteristic
1937C22#241011yescharacteristic
1938C22#241311yescharacteristic
1939C22#241711yescharacteristic
1940C22#241811yescharacteristic
1941C22#241911yescharacteristic
1942C22#242211yescharacteristic
1943C22#242211yescharacteristic
1944C22#242411yescharacteristic
1945C22#242411yescharacteristic
1946C22#242511yescharacteristic
1947C22#242911yescharacteristic
1948C22#243011yescharacteristic
1949C22#243011yescharacteristic
1950C22#243211yescharacteristic
1951C22#243311yescharacteristic
1952C22#243311yescharacteristic
1953C22#243411yescharacteristic
1954C22#243711yescharacteristic
1955C22#243811yescharacteristic
1956C22#244011yescharacteristic
1957C22#244011yescharacteristic
1958C22#244011yescharacteristic
1959C22#244211yescharacteristic
1960C22#244211yescharacteristic
1961C22#244911yescharacteristic
1962C22#244911yescharacteristic
1963C22#244911yescharacteristic
1964C22#244911yescharacteristic
1965C22#245011yescharacteristic
1966C22#245211yescharacteristic
1967C22#245211yescharacteristic
1968C22#245211yescharacteristic
1969C22#246111yescharacteristic
1970C22#246111yescharacteristic
1971C22#246111yescharacteristic
1972C22#246111yescharacteristic
1973C22#246411yescharacteristic
1974C22#246411yescharacteristic
1975C22#246811yescharacteristic
1976C22#246811yescharacteristic
1977C22#247011yescharacteristic
1978C22#247311yescharacteristic
1979C22#247311yescharacteristic
1980C22#247311yescharacteristic
1981C22#247511yescharacteristic
1982C22#248611yescharacteristic
1983C22#248711yescharacteristic
1984C22#250511yescharacteristic
1985C22#253611yescharacteristic
1986C22#253911yescharacteristic
1987C22#254011yescharacteristic
1988C22#254211yescharacteristic
1989C22#254211yescharacteristic
1990C22#254911yescharacteristic
1991C22#255311yescharacteristic
1992C22#255311yescharacteristic
1993C22#255611yescharacteristic
1994C22#255611yescharacteristic
1995C22#255811yescharacteristic
1996C22#256411yescharacteristic
1997C22#256411yescharacteristic
1998C22#256611yescharacteristic
1999C22#258311yescharacteristic
2000C22#258711yescharacteristic
2001C22#259811yescharacteristic
2002C22#260311yescharacteristic
2003C22#261111yescharacteristic
2004C22#266911yescharacteristic
2005C22#267011yescharacteristic
2006C22#267011yescharacteristic
2007C22#267211yescharacteristic
2008C22#267411yescharacteristic
2009C22#267711yescharacteristic
2010C22#267711yescharacteristic
2011C22#267811yescharacteristic
2012C22#267811yescharacteristic
2013C22#267911yescharacteristic
2014C22#268011yescharacteristic
2015C22#268011yescharacteristic
2016C22#268011yescharacteristic
2017C22#268111yescharacteristic
2018C22#268111yescharacteristic
2019C22#268311yescharacteristic
2020C22#268711yescharacteristic
2021C22#268711yescharacteristic
2022C22#269011yescharacteristic
2023C22#269211yescharacteristic
2024C22#269211yescharacteristic
2025C22#269511yescharacteristic
2026C22#269811yescharacteristic
2027C22#269811yescharacteristic
2028C22#270411yescharacteristic
2029C22#270611yescharacteristic
2030C22#270711yescharacteristic
2031C22#270811yescharacteristic
2032C22#270811yescharacteristic
2033C22#271711yescharacteristic
2034C22#271811yescharacteristic
2035C22#272011yescharacteristic
2036C22#272011yescharacteristic
2037C22#272011yescharacteristic
2038C22#272311yescharacteristic
2039C22#272811yescharacteristic
2040C22#272911yescharacteristic
2041C22#272911yescharacteristic
2042C22#274611yescharacteristic
2043C22#276311yescharacteristic
2044C22#276311yescharacteristic
2045C22#276411yescharacteristic
2046C22#276511yescharacteristic
2047C22#276811yescharacteristic
2048C22#277011yescharacteristic
2049C22#278011yescharacteristic
2050C22#278211yescharacteristic
2051C22#279011yescharacteristic
2052C4—28no—
2053C4—44no—
2054C4—44no—
2055C4—44no—
2056C4—44no—
2057C4—44no—
2058C4—44no—
2059C4—44no—
2060C4—44no—
2061C4—82no—
2062C4—82no—
2063C4—82no—
2064C4—82no—
2065C4—82no—
2066C2—48no—
2067C2#1397511yescharacteristic
2068C2#1397711yescharacteristic
2069C2#1400411yescharacteristic
2070C2#1404311yescharacteristic
2071C2#1413011yescharacteristic
2072C2#1417611yescharacteristic
2073C2#1418911yescharacteristic
2074C2#1420411yescharacteristic
2075C2#1423011yescharacteristic
2076C2#1440311yescharacteristic
2077C2#1440511yescharacteristic
2078C2#1453511yescharacteristic
2079C2#1454111yescharacteristic
2080C2#1454911yescharacteristic
2081C2#1457511yescharacteristic
2082C2#1526711yescharacteristic
2083C2#1526911yescharacteristic
2084C2#1527911yescharacteristic
2085C2#1529811yescharacteristic
2086C2#1530611yescharacteristic
2087C2#1532511yescharacteristic
2088C2#1532711yescharacteristic
2089C2#1535711yescharacteristic
2090C2#1543011yescharacteristic
2091C2#1544011yescharacteristic
2092C2#1551311yescharacteristic
2093C2#1551511yescharacteristic
2094C2#1559311yescharacteristic
2095C2#1561211yescharacteristic
2096C2#1561411yescharacteristic
2097C2#1562211yescharacteristic
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
3. C2×#1444C2semidirect
4. C2×#1444C2semidirect
5. C2×#1442C2semidirect
6. C2×#1441C2semidirect
10. C2×C4⋊#95C2semidirect
12. #7557C2semidirect
13. #7556C2semidirect
15. #7554C2semidirect
62. #1439C4semidirect
136. C22×C4⋊C4C2×C4semidirect
245. C2×#95C2×C4semidirect
246. C2×#95C2×C4semidirect
247. C2×#95C2×C4semidirect
612. C2×C22⋊C4C4⋊C4semidirect
1865. C2×C4#385semidirect

Maximal subgroups

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

subgroupindex
C22×#3852
C2×#14442
C2×#14422
C2×#14412
C2×#14392
C2×#14372
C2×C4⋊#952
C2×C22⋊#952
#75572
#75562
#75552
#75542