Finite Group Databasebeta

← #6809433

Subgroups — #6809433

Order 512.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3204C211yesmaximal, characteristic, complemented
2C2×#3187C211yesmaximal, characteristic, complemented
3#37648C211yesmaximal, characteristic, complemented
4#35634C211yesmaximal, characteristic, complemented
5#33121C211yesmaximal, characteristic, complemented
6#30721C211yesmaximal, characteristic, complemented
7#30713C211yesmaximal, characteristic, complemented
8#30711C211yesmaximal, characteristic, complemented
9#30705C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30504C211yesmaximal, characteristic, complemented
12#30503C211yesmaximal, characteristic, complemented
13#30500C211yesmaximal, characteristic, complemented
14#29606C211yesmaximal, characteristic, complemented
15#29599C211yesmaximal, characteristic, complemented
16#28492C211yesmaximal, characteristic, complemented
17#28483C211yesmaximal, characteristic, complemented
18#26242C211yesmaximal, characteristic, complemented
19#26234C211yesmaximal, characteristic, complemented
20#25769C211yesmaximal, characteristic, complemented
21#25762C211yesmaximal, characteristic, complemented
22#25737C211yesmaximal, characteristic, complemented
23#25401C211yesmaximal, characteristic, complemented
24#25385C211yesmaximal, characteristic, complemented
25#24396C211yesmaximal, characteristic, complemented
26#24383C211yesmaximal, characteristic, complemented
27#24219C211yesmaximal, characteristic, complemented
28#23927C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#22398C211yesmaximal, characteristic, complemented
31#21584C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×#537C2211yescharacteristic
34C2×#537C2211yescharacteristic, complemented
35C2×#536C2211yescharacteristic, complemented
36C2×#536C2211yescharacteristic, complemented
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3204—28no—
42#3187—28no—
43C2×#497C2211yescharacteristic, complemented
44C2×#495C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic
46C2×#481C2211yescharacteristic
47C2×#481C2211yescharacteristic, complemented
48C2×#483C2211yescharacteristic
49C2×#483C2211yescharacteristic
50C2×#483C2211yescharacteristic, complemented
51C2×#483C2211yescharacteristic, complemented
52C2×#470C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#467C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic
59C2×#465C2211yescharacteristic
60C2×#465C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic, complemented
63C2×#465C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic, complemented
65C2×#461C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#452C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic
75C2×#448C2211yescharacteristic
76C2×#450C2211yescharacteristic
77C2×#450C2211yescharacteristic
78C2×#450C2211yescharacteristic
79C2×#447C2211yescharacteristic
80C2×#435C2211yescharacteristic, complemented
81C2×C8×D4C2211yescharacteristic, complemented
82C2×#408C2211yescharacteristic, complemented
83C22×C22⋊C8C2211yescharacteristic
84#2848C2211yescharacteristic
85#2682—21no—
86#2681—21no—
87#2675—21no—
88#2671—21no—
89#2620C2211yescharacteristic
90#2615C2211yescharacteristic
91#2542—21no—
92#2542—21no—
93#2542C2211yescharacteristic
94#2542C2211yescharacteristic
95#2542C2211yescharacteristic, complemented
96#2542C2211yescharacteristic, complemented
97#2540—21no—
98#2540—21no—
99#2540C2211yescharacteristic
100#2540C2211yescharacteristic
101#2540C2211yescharacteristic
102#2540C2211yescharacteristic, complemented
103#2540C2211yescharacteristic, complemented
104#2539—21no—
105#2539—21no—
106#2537C2211yescharacteristic
107#2501—21no—
108#2501—21no—
109#2437—21no—
110#2424—21no—
111#2417C2211yescharacteristic
112#2416C2211yescharacteristic
113#2410—21no—
114#2408—21no—
115#2408C2211yescharacteristic
116#2407C2211yescharacteristic
117D4×C4⋊C4C2211yescharacteristic
118#2324C2211yescharacteristic
119#2274C2211yescharacteristic, complemented
120#2043C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2035C2211yescharacteristic
124#2035C2211yescharacteristic
125#2035C2211yescharacteristic
126#2035C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic
134#2016C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2001C2211yescharacteristic
141#2001C2211yescharacteristic
142#2001C2211yescharacteristic
143#2001C2211yescharacteristic, complemented
144#2001C2211yescharacteristic, complemented
145#2001C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1983C2211yescharacteristic, complemented
162#1983C2211yescharacteristic, complemented
163#1981C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1956C2211yescharacteristic, complemented
166#1955C2211yescharacteristic
167#1954C2211yescharacteristic
168#1948C2211yescharacteristic, complemented
169#1948C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1927C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1920C2211yescharacteristic, complemented
177#1919C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic
184#1874C2211yescharacteristic
185#1873C2211yescharacteristic, complemented
186#1872C2211yescharacteristic
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1869C2211yescharacteristic
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1823C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1780C2211yescharacteristic, complemented
199#1779C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#106C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#546—42no—
229#546—42no—
230#537—24no—
231#537—24no—
232#537—42no—
233#537—42no—
234#536—42no—
235#536—42no—
236#536—42no—
237#536—42no—
238C2×C4⋊Q8—21no—
239C2×C4⋊Q8C2311yescharacteristic
240C2×C4⋊Q8C2311yescharacteristic
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245#525—42no—
246#525—42no—
247#525—42no—
248#525—42no—
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123D411yescharacteristic
256C2×#123D411yescharacteristic
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8—24no—
264C2×C22⋊Q8—42no—
265C2×C22⋊Q8D411yescharacteristic
266C2×C22⋊Q8D411yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—24no—
295C2×#121—42no—
296C2×#121D411yescharacteristic
297C2×#121D411yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120D411yescharacteristic
313C2×#120D411yescharacteristic
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×#117C2311yescharacteristic
323C2×#117C2311yescharacteristic
324C22×C4⋊C4—21no—
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C22⋊C4—21no—
329C22×C22⋊C4—21no—
330C22×C22⋊C4—21no—
331#497—42no—
332#495—42no—
333#483—24no—
334#483—24no—
335#483—24no—
336#483—24no—
337#481—24no—
338#481—24no—
339#481D418yescomplemented
340#470—24no—
341#469—24no—
342#468—42no—
343#467—42no—
344#465—24no—
345#465—24no—
346#465—24no—
347#465—24no—
348#465—24no—
349#465—24no—
350#465—42no—
351#465—42no—
352#463—42no—
353#461—42no—
354#452—24no—
355#452—24no—
356#452—42no—
357#452—42no—
358#451—42no—
359#450—24no—
360#450—24no—
361#450—42no—
362#449—24no—
363#449—24no—
364#449—42no—
365#448—24no—
366#448—24no—
367#447—42no—
368#435—42no—
369C8×D4—42no—
370C2×#107C2311yescharacteristic
371C2×#106C2311yescharacteristic
372C2×#106C2311yescharacteristic
373C2×#106C2311yescharacteristic
374C2×#106C2311yescharacteristic
375C2×#106C2311yescharacteristic
376C2×#106C2311yescharacteristic
377C2×#106C2311yescharacteristic
378C2×C4⋊C8C2311yescharacteristic
379C2×C4⋊C8C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#103C2311yescharacteristic
393C2×#103C2311yescharacteristic
394C2×#103C2311yescharacteristic
395C2×#103C2311yescharacteristic
396C2×#103C2311yescharacteristic
397C2×#103C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412#408—24no—
413C2×C22⋊C8—24no—
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×#97C2311yescharacteristic
431C2×C4×C8C2311yescharacteristic
432#399—21no—
433#399—21no—
434#399—21no—
435#399—21no—
436#399—21no—
437#399—21no—
438#399—21no—
439#399—21no—
440#399—21no—
441#399—21no—
442#399—21no—
443#399—21no—
444#399—21no—
445#398—21no—
446#396—21no—
447#396—21no—
448#396—21no—
449#396—21no—
450#394—21no—
451#394—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#393—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#391C2311yescharacteristic
469#390—21no—
470#390—21no—
471#390—21no—
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#389—21no—
487#389C2311yescharacteristic
488#388—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#384—21no—
501#384—21no—
502#384—21no—
503#384—21no—
504#384C2311yescharacteristic
505#380—21no—
506#380—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C4⋊C4C2311yescharacteristic
521C4×C22⋊C4—21no—
522C4×C22⋊C4—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25C2×D411yescharacteristic
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C22×Q8—21no—
560C22×Q8—22no—
561C22×Q8—22no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8C2×D411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×Q8C2411yescharacteristic
571C22×D4—21no—
572C22×D4—22no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—44no—
592C22×D4—82no—
593C22×D4—82no—
594C22×D4C2×D411yescharacteristic
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C23×C4—21no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4—41no—
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C2×Q16—22no—
626C2×Q16—41no—
627C2×Q16—41no—
628C2×Q16—41no—
629C2×Q16—41no—
630C2×Q16—41no—
631C2×Q16—41no—
632C2×Q16—41no—
633C2×Q16—41no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×D8—22no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×M16—22no—
662C2×M16—41no—
663C2×M16—41no—
664C22×C8—22no—
665C22×C8—22no—
666C22×C8—22no—
667C22×C8—41no—
668C22×C8—41no—
669C22×C8—41no—
670C22×C8—41no—
671C22×C8—41no—
672C22×C8—41no—
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C4⋊Q8—22no—
682C4⋊Q8—22no—
683C4⋊Q8—41no—
684C4⋊Q8—41no—
685C4⋊Q8—44no—
686#124—22no—
687#124—22no—
688#124—22no—
689#124—22no—
690#124—41no—
691#124—41no—
692#124—44no—
693#123—42no—
694#123—42no—
695#123—44no—
696#123—44no—
697#123—44no—
698#123—44no—
699#123—44no—
700#123—44no—
701C22⋊Q8—22no—
702C22⋊Q8—22no—
703C22⋊Q8—22no—
704C22⋊Q8—22no—
705C22⋊Q8—22no—
706C22⋊Q8—22no—
707C22⋊Q8—22no—
708C22⋊Q8—22no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—22no—
712C22⋊Q8—22no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—22no—
716C22⋊Q8—42no—
717C22⋊Q8—42no—
718C22⋊Q8—44no—
719C22⋊Q8—41no—
720C22⋊Q8—41no—
721C22⋊Q8—41no—
722C22⋊Q8—41no—
723C22⋊Q8—41no—
724C22⋊Q8—41no—
725C22⋊Q8—41no—
726C22⋊Q8—41no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8—44no—
735C22⋊Q8—44no—
736C22⋊Q8—44no—
737C22⋊Q8—44no—
738C22⋊Q8—44no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—42no—
752#121—42no—
753#121—44no—
754#121—44no—
755#121—44no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—44no—
766#121—44no—
767#121—44no—
768#121—44no—
769#121—44no—
770#121—44no—
771#121—41no—
772#121—41no—
773#121—82no—
774#121—82no—
775#121C2×D414yes—
776#120—42no—
777#120—42no—
778#120—44no—
779#120—44no—
780#120—82no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—41no—
788C4×D4—41no—
789C4×D4—41no—
790C4×D4—41no—
791C4×D4—44no—
792C4×D4—44no—
793C4×D4—82no—
794#117—22no—
795#117—22no—
796#117—22no—
797#117—22no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—22no—
800C2×C4⋊C4—22no—
801C2×C4⋊C4—22no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—41no—
828C2×C4⋊C4—41no—
829C2×C4⋊C4—44no—
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D414yes—
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—44no—
891C2×C22⋊C4—44no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911#107—22no—
912#106—22no—
913#106—22no—
914#106—22no—
915#106—22no—
916#106—22no—
917#106C2×D414yes—
918#106C2×D414yes—
919C4⋊C8—22no—
920C4⋊C8—22no—
921#103—22no—
922#103—22no—
923#103—22no—
924#103—22no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—22no—
931#103—41no—
932#103—41no—
933#103—41no—
934#103—41no—
935#103—41no—
936#103—41no—
937#103—41no—
938#103—41no—
939#103—41no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—22no—
946#102—22no—
947#102—22no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102C2×D414yes—
952#102C2×D414yes—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8C2×D414yes—
969#97—22no—
970C4×C8—22no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—41no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004C24C22×D411yescharacteristic
1005C24C22×D411yescharacteristic
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—82no—
1010#41—82no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018C2×Q8—22no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×Q8—42no—
1046C2×Q8—42no—
1047C2×Q8—42no—
1048C2×Q8—82no—
1049C2×Q8—82no—
1050C2×Q8—82no—
1051C2×Q8—82no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—24no—
1055C2×D4—22no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—81no—
1112C2×D4—82no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—816no—
1137C2×D4C22×D412yes—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—82no—
1202C22×C4—82no—
1203C22×C4—82no—
1204C22×C4—82no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D412yes—
1223C22×C4H(5,𝔽2)12yes—
1224C22×C4C2511yescharacteristic
1225Q16—82no—
1226Q16—82no—
1227Q16—82no—
1228SD16—82no—
1229SD16—82no—
1230SD16—82no—
1231SD16—82no—
1232SD16—82no—
1233SD16—82no—
1234SD16—82no—
1235D8—82no—
1236D8—82no—
1237M16—82no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—82no—
1261C2×C8—82no—
1262C2×C8—82no—
1263C2×C8C22×D412yes—
1264C2×C8C22×D412yes—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4—81no—
1309C4⋊C4—81no—
1310C4⋊C4C22×D412yes—
1311C4⋊C4C22×D412yes—
1312C4⋊C4C22×D412yes—
1313C4⋊C4H(5,𝔽2)12yes—
1314C4⋊C4H(5,𝔽2)12yes—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—24no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C42—24no—
1370C42—21no—
1371C42—21no—
1372C42—81no—
1373C42—81no—
1374C42—81no—
1375C42—81no—
1376C42—81no—
1377C42H(5,𝔽2)12yes—
1378C42H(5,𝔽2)12yes—
1379C23—28no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23D4212yes—
1447C23#57712yes—
1448C23#57712yes—
1449C23C23×D411yescharacteristic
1450Q8—41no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—82no—
1467Q8—84no—
1468D4—22no—
1469D4—22no—
1470D4—44no—
1471D4—44no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—162no—
1497D4—162no—
1498D4—162no—
1499D4—162no—
1500D4—162no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—84no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—162no—
1593C2×C4—162no—
1594C2×C4#53412yes—
1595C2×C4#53412yes—
1596C2×C4D4212yes—
1597C2×C4C23×D411yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C2×C4C2×H(5,𝔽2)11yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C8—22no—
1604C8—22no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—88no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—168no—
1669C22C2×#53411yescharacteristic
1670C22C2×D4211yescharacteristic
1671C22#348411yescharacteristic
1672C22C2×#57711yescharacteristic
1673C22C2×#57711yescharacteristic
1674C22#358411yescharacteristic
1675C22#358611yescharacteristic
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4—81no—
1696C4—81no—
1697C4—81no—
1698C4#349811yescharacteristic
1699C4#349811yescharacteristic
1700C4#354311yescharacteristic
1701C4#354311yescharacteristic
1702C2—42no—
1703C2—42no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—82no—
1708C2—161no—
1709C2—161no—
1710C2#3933611yescharacteristic
1711C2#6076311yescharacteristic
1712C2#6076911yescharacteristic
1713C2#6105011yescharacteristic
1714C2#6107311yescharacteristic
1715C2#6162011yescharacteristic
1716C2#6164111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3204C2semidirect
2. C2×#3187C2semidirect
3. #37648C2semidirect
4. #35634C2semidirect
5. #33121C2semidirect
6. #30721C2semidirect
7. #30713C2semidirect
8. #30711C2semidirect
9. #30705C2semidirect
10. #30511C2semidirect
11. #30504C2semidirect
12. #30503C2semidirect
13. #30500C2semidirect
14. #29606C2semidirect
15. #29599C2semidirect
16. #28492C2semidirect
17. #28483C2semidirect
18. #26242C2semidirect
19. #26234C2semidirect
20. #25769C2semidirect
21. #25762C2semidirect
22. #25737C2semidirect
23. #25401C2semidirect
24. #25385C2semidirect
25. #24396C2semidirect
26. #24383C2semidirect
27. #24219C2semidirect
28. #23927C2semidirect
29. #23920C2semidirect
30. #22398C2semidirect
31. #21584C2semidirect
34. C2×#537C22semidirect
35. C2×#536C22semidirect
36. C2×#536C22semidirect
43. C2×#497C22semidirect
44. C2×#495C22semidirect
47. C2×#481C22semidirect
50. C2×#483C22semidirect
51. C2×#483C22semidirect
52. C2×#470C22semidirect
53. C2×#469C22semidirect
54. C2×#468C22semidirect
55. C2×#467C22semidirect
60. C2×#465C22semidirect
61. C2×#465C22semidirect
62. C2×#465C22semidirect
63. C2×#465C22semidirect
64. C2×#463C22semidirect
65. C2×#461C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
72. C2×#449C22semidirect
73. C2×#451C22semidirect
80. C2×#435C22semidirect
81. C2×C8×D4C22semidirect
82. C2×#408C22semidirect
95. #2542C22semidirect
96. #2542C22semidirect
102. #2540C22semidirect
103. #2540C22semidirect
119. #2274C22semidirect
120. #2043C22semidirect
121. #2042C22semidirect
122. #2036C22semidirect
126. #2035C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
129. #2035C22semidirect
130. #2035C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
134. #2016C22semidirect
135. #2015C22semidirect
136. #2013C22semidirect
137. #2013C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
143. #2001C22semidirect
144. #2001C22semidirect
145. #2001C22semidirect
146. #2001C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1983C22semidirect
162. #1983C22semidirect
163. #1981C22semidirect
164. #1959C22semidirect
165. #1956C22semidirect
168. #1948C22semidirect
169. #1948C22semidirect
170. #1927C22semidirect
171. #1927C22semidirect
172. #1926C22semidirect
173. #1926C22semidirect
174. #1926C22semidirect
175. #1925C22semidirect
176. #1920C22semidirect
177. #1919C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1892C22semidirect
181. #1892C22semidirect
185. #1873C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1854C22semidirect
194. #1823C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
198. #1780C22semidirect
200. #1776C22semidirect
201. C4×#106C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
339. #481D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32042
C2×#31872
#376482
#356342
#331212
#307212
#307132
#307112
#307052
#305112
#305042
#305032
#305002
#296062
#295992
#284922
#284832
#262422
#262342
#257692
#257622
#257372
#254012
#253852
#243962
#243832
#242192
#239272
#239202
#223982
#215842