Finite Group Databasebeta

← #6809384

Subgroups — #6809384

Order 512.

2521 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3197C211yesmaximal, characteristic, complemented
2C2×#3191C211yesmaximal, characteristic, complemented
3#36101C211yesmaximal, characteristic, complemented
4#34936C211yesmaximal, characteristic, complemented
5#33113C211yesmaximal, characteristic, complemented
6#30732C211yesmaximal, characteristic, complemented
7#30728C211yesmaximal, characteristic, complemented
8#30714C211yesmaximal, characteristic, complemented
9#30710C211yesmaximal, characteristic, complemented
10#30515C211yesmaximal, characteristic, complemented
11#30514C211yesmaximal, characteristic, complemented
12#30505C211yesmaximal, characteristic, complemented
13#30504C211yesmaximal, characteristic, complemented
14#29600C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28493C211yesmaximal, characteristic, complemented
18#26245C211yesmaximal, characteristic, complemented
19#26243C211yesmaximal, characteristic, complemented
20#25765C211yesmaximal, characteristic, complemented
21#25765C211yesmaximal, characteristic, complemented
22#25729C211yesmaximal, characteristic, complemented
23#25403C211yesmaximal, characteristic, complemented
24#25399C211yesmaximal, characteristic, complemented
25#24388C211yesmaximal, characteristic, complemented
26#24382C211yesmaximal, characteristic, complemented
27#24216C211yesmaximal, characteristic, complemented
28#23923C211yesmaximal, characteristic, complemented
29#23923C211yesmaximal, characteristic, complemented
30#22399C211yesmaximal, characteristic, complemented
31#21583C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#532C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#3197—28no—
42#3191—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#496C2211yescharacteristic, complemented
45C2×#485C2211yescharacteristic
46C2×#485C2211yescharacteristic, complemented
47C2×#485C2211yescharacteristic, complemented
48C2×#482C2211yescharacteristic
49C2×#482C2211yescharacteristic
50C2×#482C2211yescharacteristic, complemented
51C2×#482C2211yescharacteristic, complemented
52C2×#470C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#468C2211yescharacteristic, complemented
57C2×#468C2211yescharacteristic, complemented
58C2×#467C2211yescharacteristic, complemented
59C2×#466C2211yescharacteristic, complemented
60C2×#466C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic, complemented
62C2×#465C2211yescharacteristic, complemented
63C2×#465C2211yescharacteristic, complemented
64C2×#464C2211yescharacteristic, complemented
65C2×#464C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic, complemented
69C2×#452C2211yescharacteristic, complemented
70C2×#452C2211yescharacteristic, complemented
71C2×#452C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic
74C2×#449C2211yescharacteristic
75C2×#449C2211yescharacteristic
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#435C2211yescharacteristic
81C2×#435C2211yescharacteristic
82C2×#407C2211yescharacteristic
83C22×C22⋊C8C2211yescharacteristic
84#2856C2211yescharacteristic
85#2847C2211yescharacteristic
86#2847C2211yescharacteristic
87#2542C2211yescharacteristic
88#2542C2211yescharacteristic
89#2541C2211yescharacteristic
90#2541C2211yescharacteristic
91#2541C2211yescharacteristic
92#2540C2211yescharacteristic
93#2540C2211yescharacteristic
94#2540C2211yescharacteristic
95#2540C2211yescharacteristic
96#2539—21no—
97#2539—21no—
98#2538C2211yescharacteristic
99#2501—21no—
100#2456—21no—
101#2456—21no—
102#2445—21no—
103#2433—21no—
104#2433—21no—
105#2424—21no—
106#2424—21no—
107#2414C2211yescharacteristic
108#2414C2211yescharacteristic
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic
111#2397—21no—
112#2397—21no—
113#2366—21no—
114#2361—21no—
115#2354C2211yescharacteristic
116C4×#127—21no—
117C4×#127—21no—
118C4×C22⋊Q8C2211yescharacteristic
119C4×#117C2211yescharacteristic
120#2043C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2016C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1983C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1959C2211yescharacteristic, complemented
166#1955C2211yescharacteristic
167#1955C2211yescharacteristic
168#1948C2211yescharacteristic, complemented
169#1947C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1927C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1921C2211yescharacteristic, complemented
177#1920C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1873C2211yescharacteristic
187#1873C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1870C2211yescharacteristic
191#1869C2211yescharacteristic
192#1869C2211yescharacteristic
193#1854C2211yescharacteristic
194#1825C2211yescharacteristic
195#1797C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1779C2211yescharacteristic
199#1779C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1749C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4D411yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#550—42no—
229#550—42no—
230#532—42no—
231#532—42no—
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127—21no—
234C2×#127—21no—
235C2×#127—21no—
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241#525—24no—
242#525—24no—
243#525—24no—
244#525—24no—
245#525—42no—
246#525—42no—
247#525—42no—
248#525—42no—
249#525—42no—
250#525—42no—
251#525—42no—
252#525—42no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×#123—21no—
257C2×#123—21no—
258C2×#123—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4—42no—
317C2×C4×D4—42no—
318C2×C4×D4D411yescharacteristic
319C2×C4×D4D411yescharacteristic
320C2×C4×D4D411yescharacteristic
321C2×C4×D4D411yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C22×C4⋊C4D411yescharacteristic
331C22×C22⋊C4D411yescharacteristic
332C22×C22⋊C4D411yescharacteristic
333C22×C42C2311yescharacteristic
334#496—42no—
335#496—42no—
336#485—24no—
337#485—24no—
338#485D418yescomplemented
339#482—24no—
340#482—24no—
341#482—24no—
342#482—24no—
343#470—24no—
344#469—24no—
345#469—42no—
346#468—24no—
347#468—24no—
348#468—42no—
349#467—24no—
350#466—24no—
351#466—42no—
352#465—24no—
353#465—24no—
354#465—42no—
355#464—42no—
356#464—42no—
357#452—24no—
358#452—24no—
359#452—24no—
360#452—24no—
361#452—42no—
362#452—42no—
363#449—24no—
364#449—24no—
365#449—24no—
366#449—24no—
367#449—42no—
368#449—42no—
369#449—42no—
370#449—42no—
371#435—42no—
372#435—42no—
373C2×#107C2311yescharacteristic
374C2×#107C2311yescharacteristic
375C2×#107C2311yescharacteristic
376C2×#107C2311yescharacteristic
377C2×#106C2311yescharacteristic
378C2×#106C2311yescharacteristic
379C2×#106C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×C4⋊C8C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
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×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
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
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415#407—24no—
416C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×#97C2311yescharacteristic
434C2×#97C2311yescharacteristic
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#396—21no—
444#396—21no—
445#394—21no—
446#394—21no—
447#394—21no—
448#394—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#391C2311yescharacteristic
464#390—21no—
465#390—21no—
466#390—21no—
467#390—21no—
468#390—21no—
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#390C2311yescharacteristic
484#390C2311yescharacteristic
485#389—21no—
486#389C2311yescharacteristic
487#388—21no—
488#388—21no—
489#388—21no—
490#388—21no—
491#387—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#384—21no—
504#384—21no—
505#384C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511C4×C4⋊C4—21no—
512C4×C4⋊C4—21no—
513C4×C4⋊C4C2311yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4—21no—
521#376—21no—
522C43—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
539C25C2×D411yescharacteristic
540C25C2×D411yescharacteristic
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
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—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C22×Q8C2411yescharacteristic
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
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—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C23×C4—22no—
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—41no—
612C23×C4—41no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4C2×D411yescharacteristic
620C23×C4C2×D411yescharacteristic
621C23×C4C2×D411yescharacteristic
622C23×C4C2×D411yescharacteristic
623C23×C4C2×D411yescharacteristic
624C23×C4C2×D411yescharacteristic
625C23×C4C2×D411yescharacteristic
626C23×C4C2×D411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C2×Q16—22no—
633C2×Q16—22no—
634C2×Q16—41no—
635C2×Q16—41no—
636C2×Q16—41no—
637C2×Q16—41no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
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×SD16—41no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×M16—22no—
669C2×M16—22no—
670C2×M16—41no—
671C2×M16—41no—
672C2×M16—41no—
673C2×M16—41no—
674C22×C8—22no—
675C22×C8—22no—
676C22×C8—41no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C4⋊Q8—41no—
689C4⋊Q8—41no—
690#127—22no—
691#127—22no—
692#127—41no—
693#127—41no—
694#127—44no—
695#127—44no—
696#127—44no—
697#127—44no—
698#124—22no—
699#124—22no—
700#124—22no—
701#124—22no—
702#123—44no—
703#123—44no—
704#123—44no—
705#123—44no—
706#123—44no—
707#123—44no—
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—22no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
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⋊Q8C2×D414yes—
730#121—22no—
731#121—22no—
732#121—22no—
733#121—22no—
734#121—22no—
735#121—22no—
736#121—22no—
737#121—22no—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—44no—
745#121—44no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—41no—
750#121—41no—
751#121—41no—
752#121—41no—
753#121—41no—
754#121—41no—
755#121—41no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—44no—
761#121—44no—
762#121—44no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—82no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—44no—
772#120—44no—
773#120—44no—
774#120—82no—
775#120—82no—
776C4×Q8—22no—
777C4×Q8—22no—
778C4×D4—22no—
779C4×D4—22no—
780C4×D4—22no—
781C4×D4—22no—
782C4×D4—42no—
783C4×D4—42no—
784C4×D4—42no—
785C4×D4—42no—
786C4×D4—41no—
787C4×D4—41no—
788C4×D4—41no—
789C4×D4—41no—
790C4×D4—44no—
791C4×D4—44no—
792C4×D4—44no—
793C4×D4—44no—
794C4×D4—44no—
795C4×D4—44no—
796C4×D4—44no—
797C4×D4—44no—
798C4×D4—44no—
799C4×D4—44no—
800C4×D4—44no—
801C4×D4—44no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—44no—
805#117—22no—
806#117—22no—
807#117—22no—
808#117—22no—
809#117—22no—
810#117—41no—
811#117—41no—
812#117C2×D414yes—
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—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
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—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—22no—
901C2×C42—22no—
902C2×C42—21no—
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42C2×D411yescharacteristic
911C2×C42C2×D411yescharacteristic
912C2×C42C2411yescharacteristic
913C2×C42C2411yescharacteristic
914#107—22no—
915#107—22no—
916#107—22no—
917#107C2×D414yescomplemented
918#106—22no—
919#106—22no—
920#106—22no—
921#106C2×D414yescomplemented
922C4⋊C8—22no—
923C4⋊C8—22no—
924#103—22no—
925#103—22no—
926#103—22no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—41no—
931#103—41no—
932#103—41no—
933#103—41no—
934#103—41no—
935#103—41no—
936#103C2×D414yescomplemented
937#103C2×D414yescomplemented
938#102—22no—
939#102—22no—
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—22no—
949#102—22no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102—41no—
955#102—41no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8C2×D414yes—
972#97—22no—
973#97—22no—
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—
984#95—21no—
985#95—21no—
986#95—21no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—41no—
1000C24—41no—
1001C24—41no—
1002C24—41no—
1003C24—41no—
1004C24—41no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010#41—82no—
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025#41—82no—
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×Q8C22×D412yes—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—22no—
1048C2×D4—22no—
1049C2×D4—22no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
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—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—41no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—416no—
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—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
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—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
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—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
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—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—82no—
1228C22×C4—82no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4—82no—
1233C22×C4—82no—
1234C22×C4—82no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D412yes—
1246C22×C4C22×D411yescharacteristic
1247C22×C4H(5,𝔽2)12yes—
1248C22×C4C2511yescharacteristic
1249Q16—82no—
1250Q16—82no—
1251SD16—82no—
1252SD16—82no—
1253SD16—82no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257D8—82no—
1258D8—82no—
1259D8—82no—
1260D8—82no—
1261M16—82no—
1262M16—82no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—82no—
1286C2×C8—82no—
1287C2×C8C22×D412yes—
1288C2×C8C22×D412yes—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4C22×D412yes—
1324C4⋊C4C22×D412yes—
1325C4⋊C4C22×D412yes—
1326C4⋊C4H(5,𝔽2)12yes—
1327C4⋊C4H(5,𝔽2)12yes—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
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—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C42—24no—
1381C42—22no—
1382C42—22no—
1383C42—24no—
1384C42—21no—
1385C42—21no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—42no—
1392C42—81no—
1393C42—81no—
1394C42H(5,𝔽2)12yes—
1395C42H(5,𝔽2)12yes—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—82no—
1461C23—82no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—82no—
1471C23D4212yes—
1472C23#57512yes—
1473C23C23×D411yescharacteristic
1474Q8—22no—
1475Q8—22no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
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—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—82no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—82no—
1618C2×C4—82no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4#53412yes—
1622C2×C4#53412yes—
1623C2×C4D4212yes—
1624C2×C4#57512yes—
1625C2×C4C23×D411yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4C2×H(5,𝔽2)11yescharacteristic
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C8—22no—
1632C8—22no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—88no—
1675C22—88no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22C2×#53411yescharacteristic
1705C22C2×D4211yescharacteristic
1706C22#348411yescharacteristic
1707C22C2×#57511yescharacteristic
1708C22C2×#57511yescharacteristic
1709C22#358411yescharacteristic
1710C22#358511yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4#349811yescharacteristic
1733C4#349811yescharacteristic
1734C4#354311yescharacteristic
1735C4#354311yescharacteristic
1736C2—42no—
1737C2—42no—
1738C2—81no—
1739C2—81no—
1740C2—81no—
1741C2—161no—
1742C2—161no—
1743C2—161no—
1744C2—161no—
1745C2#3933611yescharacteristic
1746C2#6075211yescharacteristic
1747C2#6076711yescharacteristic
1748C2#6103011yescharacteristic
1749C2#6107011yescharacteristic
1750C2#6157911yescharacteristic
1751C2#6159911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3197C2semidirect
2. C2×#3191C2semidirect
3. #36101C2semidirect
4. #34936C2semidirect
5. #33113C2semidirect
6. #30732C2semidirect
7. #30728C2semidirect
8. #30714C2semidirect
9. #30710C2semidirect
10. #30515C2semidirect
11. #30514C2semidirect
12. #30505C2semidirect
13. #30504C2semidirect
14. #29600C2semidirect
15. #29600C2semidirect
16. #28493C2semidirect
17. #28493C2semidirect
18. #26245C2semidirect
19. #26243C2semidirect
20. #25765C2semidirect
21. #25765C2semidirect
22. #25729C2semidirect
23. #25403C2semidirect
24. #25399C2semidirect
25. #24388C2semidirect
26. #24382C2semidirect
27. #24216C2semidirect
28. #23923C2semidirect
29. #23923C2semidirect
30. #22399C2semidirect
31. #21583C2semidirect
43. C2×#496C22semidirect
44. C2×#496C22semidirect
46. C2×#485C22semidirect
47. C2×#485C22semidirect
50. C2×#482C22semidirect
51. C2×#482C22semidirect
52. C2×#470C22semidirect
53. C2×#469C22semidirect
54. C2×#469C22semidirect
55. C2×#468C22semidirect
56. C2×#468C22semidirect
57. C2×#468C22semidirect
58. C2×#467C22semidirect
59. C2×#466C22semidirect
60. C2×#466C22semidirect
61. C2×#465C22semidirect
62. C2×#465C22semidirect
63. C2×#465C22semidirect
64. C2×#464C22semidirect
65. C2×#464C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
70. C2×#452C22semidirect
71. C2×#452C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
120. #2043C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
126. #2035C22semidirect
127. #2035C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2016C22semidirect
135. #2014C22semidirect
136. #2013C22semidirect
137. #2013C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1983C22semidirect
162. #1982C22semidirect
163. #1982C22semidirect
164. #1959C22semidirect
165. #1959C22semidirect
168. #1948C22semidirect
169. #1947C22semidirect
170. #1928C22semidirect
171. #1927C22semidirect
172. #1926C22semidirect
173. #1926C22semidirect
174. #1925C22semidirect
175. #1925C22semidirect
176. #1921C22semidirect
177. #1920C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
200. #1776C22semidirect
201. #1776C22semidirect
202. #1763C22semidirect
203. #1763C22semidirect
338. #485D4semidirect
917. #107C2×D4semidirect
921. #106C2×D4semidirect
936. #103C2×D4semidirect
937. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31972
C2×#31912
#361012
#349362
#331132
#307322
#307282
#307142
#307102
#305152
#305142
#305052
#305042
#296002
#284932
#262452
#262432
#257652
#257292
#254032
#253992
#243882
#243822
#242162
#239232
#223992
#215832