Finite Group Databasebeta

← #6996616

Subgroups — #6996616

Order 512.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3268C211yesmaximal, characteristic, complemented
2C2×#3194C211yesmaximal, characteristic, complemented
3#59003C211yesmaximal, characteristic, complemented
4#59003C211yesmaximal, characteristic, complemented
5#31033C211yesmaximal, characteristic, complemented
6#31030C211yesmaximal, characteristic, complemented
7#30714C211yesmaximal, characteristic, complemented
8#30701C211yesmaximal, characteristic, complemented
9#30475C211yesmaximal, characteristic, complemented
10#30472C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30444C211yesmaximal, characteristic, complemented
13#28557C211yesmaximal, characteristic, complemented
14#26954C211yesmaximal, characteristic, complemented
15#26933C211yesmaximal, characteristic, complemented
16#26644C211yesmaximal, characteristic, complemented
17#26643C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25770C211yesmaximal, characteristic, complemented
20#25759C211yesmaximal, characteristic, complemented
21#25097C211yesmaximal, characteristic, complemented
22#25096C211yesmaximal, characteristic, complemented
23#24451C211yesmaximal, characteristic, complemented
24#24450C211yesmaximal, characteristic, complemented
25#23923C211yesmaximal, characteristic, complemented
26#23918C211yesmaximal, characteristic, complemented
27#23857C211yesmaximal, characteristic, complemented
28#23850C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#23142C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#135C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic, complemented
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42#3268—28no—
43#3194—28no—
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#493C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic, complemented
48C2×#482C2211yescharacteristic, complemented
49C2×#483C2211yescharacteristic, complemented
50C2×#480C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#466C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic
74C2×#447C2211yescharacteristic
75C2×#447C2211yescharacteristic, complemented
76C2×#440C2211yescharacteristic, complemented
77C2×#435C2211yescharacteristic, complemented
78C2×#417C2211yescharacteristic, complemented
79C2×#418C2211yescharacteristic, complemented
80C2×#407C2211yescharacteristic
81#2682—21no—
82#2682—21no—
83#2673—21no—
84#2673—21no—
85#2541C2211yescharacteristic
86#2541C2211yescharacteristic, complemented
87#2456—21no—
88#2456—21no—
89#2433—21no—
90#2433—21no—
91#2433C2211yescharacteristic, complemented
92#2433C2211yescharacteristic, complemented
93#2431C2211yescharacteristic
94#2431C2211yescharacteristic, complemented
95#2428—21no—
96#2428—21no—
97#2428C2211yescharacteristic
98#2428C2211yescharacteristic, complemented
99#2426C2211yescharacteristic
100#2426C2211yescharacteristic, complemented
101#2424—21no—
102#2424—21no—
103#2416C2211yescharacteristic, complemented
104#2416C2211yescharacteristic, complemented
105#2414C2211yescharacteristic
106#2414C2211yescharacteristic, complemented
107#2410—21no—
108#2410—21no—
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic, complemented
111#2363C2211yescharacteristic
112#2363C2211yescharacteristic, complemented
113#2360C2211yescharacteristic, complemented
114#2360C2211yescharacteristic, complemented
115#2358—21no—
116#2358—21no—
117C4×#120C2211yescharacteristic
118#2088C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2012C2211yescharacteristic, complemented
134#2012C2211yescharacteristic, complemented
135#2011C2211yescharacteristic, complemented
136#2011C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1935C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1924C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1918C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic
187#1874C2211yescharacteristic
188#1874C2211yescharacteristic
189#1874C2211yescharacteristic
190#1873C2211yescharacteristic, complemented
191#1873C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1779C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#103C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×#135—24no—
218C2×#135—42no—
219C2×#135—42no—
220C22×Q16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#550—24no—
240#550—42no—
241#550—42no—
242#550—42no—
243#546—24no—
244#546—42no—
245#546—42no—
246#546—42no—
247C2×#127—21no—
248C2×#127—21no—
249C2×#127—21no—
250C2×#127—21no—
251C2×#127C2311yescharacteristic
252C2×#127C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257#525—24no—
258#525—42no—
259#525—42no—
260#525—42no—
261C2×#123—21no—
262C2×#123—21no—
263C2×#123—21no—
264C2×#123—21no—
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—24no—
284C2×#121—42no—
285C2×#121—42no—
286C2×#121—42no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120D411yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×D4—21no—
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C22⋊C4—21no—
330C22×C22⋊C4—21no—
331C22×C22⋊C4—21no—
332C22×C22⋊C4—21no—
333#496—24no—
334#496—42no—
335#493—42no—
336#483—24no—
337#482—24no—
338#482—24no—
339#480—24no—
340#469—24no—
341#469—24no—
342#468—24no—
343#468D418yescomplemented
344#466—24no—
345#464—24no—
346#460—42no—
347#459—24no—
348#459—42no—
349#452—24no—
350#452—42no—
351#450—24no—
352#449—24no—
353#449—24no—
354#449—24no—
355#449—24no—
356#449—42no—
357#449—42no—
358#449—42no—
359#449—42no—
360#447—24no—
361#447—24no—
362#447—42no—
363#447—42no—
364#447—42no—
365#440—24no—
366#435—24no—
367C2×#107C2311yescharacteristic
368C2×#107C2311yescharacteristic
369C2×#106C2311yescharacteristic
370C2×#106C2311yescharacteristic
371C2×C4⋊C8C2311yescharacteristic
372C2×C4⋊C8C2311yescharacteristic
373C2×C4⋊C8C2311yescharacteristic
374#418—42no—
375#417—42no—
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408#407—24no—
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
423C2×#97C2311yescharacteristic
424C2×C4×C8C2311yescharacteristic
425#396—21no—
426#396—21no—
427#396—21no—
428#396—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—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#391C2311yescharacteristic
458#391C2311yescharacteristic
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390—21no—
465#390—21no—
466#390—21no—
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#389—21no—
474#389—21no—
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#387—21no—
486#387—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386D411yescharacteristic
500#386D411yescharacteristic
501#386D411yescharacteristic
502#385—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#385D411yescharacteristic
507#385D411yescharacteristic
508#385D411yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#379D411yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C4⋊C4C2311yescharacteristic
514C4×C22⋊C4—21no—
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
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—
565C2×#41—41no—
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—22no—
571C22×D4—22no—
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—22no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—82no—
613C22×D4—82no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4C2×D411yescharacteristic
640C23×C4C2×D411yescharacteristic
641C23×C4C2×D411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646AGL(1,ℤ/8)—416no—
647#135—416no—
648C2×Q16—22no—
649C2×Q16—22no—
650C2×Q16—41no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16C2×D414yescomplemented
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×M16—22no—
697C2×M16—41no—
698C2×M16—41no—
699C2×M16—41no—
700C2×M16—41no—
701C2×M16C2×D414yes—
702C22×C8—22no—
703C22×C8—41no—
704C22×C8—41no—
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713#127—22no—
714#127—22no—
715#127—41no—
716#127—41no—
717#127—41no—
718#127—41no—
719#127—41no—
720#127—41no—
721#127—44no—
722#127—44no—
723#127—82no—
724#127—82no—
725#124—22no—
726#124—22no—
727#124—41no—
728#124—41no—
729#123—44no—
730#123—44no—
731#123—44no—
732#123—44no—
733C22⋊Q8—22no—
734C22⋊Q8—22no—
735C22⋊Q8—22no—
736C22⋊Q8—22no—
737C22⋊Q8—22no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8C2×D414yes—
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—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—44no—
759#121—44no—
760#121—44no—
761#121—44no—
762#121—44no—
763#121—44no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—82no—
783#121—82no—
784#121—82no—
785#121—82no—
786#121C2×D414yes—
787#120—42no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—82no—
795#120—82no—
796C4×Q8—22no—
797C4×Q8—22no—
798C4×Q8—41no—
799C4×Q8—41no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—44no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816#117—22no—
817#117—22no—
818#117—41no—
819#117—41no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—22no—
823C2×C4⋊C4—22no—
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—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—41no—
835C2×C4⋊C4—41no—
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
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—44no—
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×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42—21no—
911C2×C42C2411yescharacteristic
912C2×C42C2411yescharacteristic
913C2×C42C2411yescharacteristic
914#107—22no—
915#107C2×D414yescomplemented
916#106—22no—
917#106—22no—
918C4⋊C8—22no—
919C4⋊C8—41no—
920C4⋊C8—41no—
921#103—22no—
922#103—22no—
923#103—22no—
924#103—22no—
925#103—41no—
926#103—41no—
927#103—41no—
928#103C2×D414yescomplemented
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102C2×D414yescomplemented
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—
966#97—22no—
967#97—41no—
968C4×C8—41no—
969#95—21no—
970#95—21no—
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#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987C24—21no—
988C24—21no—
989C24—22no—
990C24—22no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—41no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017C24C22×D411yescharacteristic
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025#41—82no—
1026#41—82no—
1027#41—82no—
1028#41—82no—
1029#41—82no—
1030#41—82no—
1031#41—82no—
1032#41—82no—
1033#41—82no—
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—21no—
1044C2×Q8C22×D412yes—
1045C2×Q8H(5,𝔽2)12yes—
1046C2×D4—24no—
1047C2×D4—22no—
1048C2×D4—24no—
1049C2×D4—22no—
1050C2×D4—22no—
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—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
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—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—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—82no—
1138C2×D4—82no—
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—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—816no—
1188C2×D4—816no—
1189C2×D4C22×D412yes—
1190C2×D4H(5,𝔽2)12yes—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—22no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—82no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—82no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D412yes—
1270C22×C4C22×D411yescharacteristic
1271C22×C4H(5,𝔽2)12yes—
1272C22×C4C2511yescharacteristic
1273Q16—44no—
1274SD16—28no—
1275SD16—44no—
1276SD16—44no—
1277SD16—82no—
1278SD16—82no—
1279SD16—82no—
1280D8—44no—
1281D8—44no—
1282D8—44no—
1283D8—82no—
1284D8—82no—
1285D8—82no—
1286D8—82no—
1287D8—82no—
1288D8—82no—
1289M16—44no—
1290M16—82no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—44no—
1314C2×C8C22×D412yes—
1315C2×C8C22×D412yes—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4—81no—
1343C4⋊C4C22×D412yes—
1344C4⋊C4C22×D412yes—
1345C4⋊C4H(5,𝔽2)12yes—
1346C4⋊C4H(5,𝔽2)12yes—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
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—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—21no—
1406C42—21no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—81no—
1412C42—81no—
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—22no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—44no—
1442C23—44no—
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—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—82no—
1484C23—82no—
1485C23—82no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—82no—
1491C23—82no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—162no—
1497C23—162no—
1498C23—162no—
1499C23—162no—
1500C23—162no—
1501C23—162no—
1502C23D4212yes—
1503C23#57612yes—
1504C23C23×D411yescharacteristic
1505Q8—22no—
1506Q8—22no—
1507Q8—22no—
1508Q8—22no—
1509Q8—41no—
1510Q8—41no—
1511Q8—41no—
1512Q8—41no—
1513D4—22no—
1514D4—22no—
1515D4—22no—
1516D4—22no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—41no—
1535D4—41no—
1536D4—41no—
1537D4—82no—
1538D4—84no—
1539D4—84no—
1540D4—82no—
1541D4—82no—
1542D4—84no—
1543D4—84no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—84no—
1549D4—84no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—162no—
1561D4—162no—
1562D4—162no—
1563D4—162no—
1564D4—162no—
1565D4—162no—
1566D4—162no—
1567D4—162no—
1568D4—162no—
1569D4—162no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—82no—
1645C2×C4—82no—
1646C2×C4—84no—
1647C2×C4—82no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—162no—
1654C2×C4—162no—
1655C2×C4D4212yes—
1656C2×C4#57512yes—
1657C2×C4C23×D411yescharacteristic
1658C2×C4C2×H(5,𝔽2)11yescharacteristic
1659C2×C4C2×H(5,𝔽2)11yescharacteristic
1660C2×C4C2×H(5,𝔽2)11yescharacteristic
1661C2×C4C2×H(5,𝔽2)11yescharacteristic
1662C2×C4C2×H(5,𝔽2)11yescharacteristic
1663C8—22no—
1664C8—22no—
1665C8—41no—
1666C8—41no—
1667C8—41no—
1668C8—41no—
1669C8—41no—
1670C8—41no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—88no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—168no—
1743C22—168no—
1744C22C2×D4211yescharacteristic
1745C22#348411yescharacteristic
1746C22#348411yescharacteristic
1747C22C2×#57511yescharacteristic
1748C22C2×#57611yescharacteristic
1749C22#358511yescharacteristic
1750C22#358511yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—41no—
1758C4—41no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—42no—
1767C4—81no—
1768C4—81no—
1769C4—81no—
1770C4—81no—
1771C4#348411yescharacteristic
1772C4#349811yescharacteristic
1773C4#353711yescharacteristic
1774C4#353711yescharacteristic
1775C2—42no—
1776C2—42no—
1777C2—81no—
1778C2—81no—
1779C2—82no—
1780C2—82no—
1781C2—161no—
1782C2—161no—
1783C2—161no—
1784C2—161no—
1785C2#4300111yescharacteristic
1786C2#6107011yescharacteristic
1787C2#6107211yescharacteristic
1788C2#6157911yescharacteristic
1789C2#6160511yescharacteristic
1790C2#6160911yescharacteristic
1791C2#6165311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3268C2semidirect
2. C2×#3194C2semidirect
3. #59003C2semidirect
4. #59003C2semidirect
5. #31033C2semidirect
6. #31030C2semidirect
7. #30714C2semidirect
8. #30701C2semidirect
9. #30475C2semidirect
10. #30472C2semidirect
11. #30462C2semidirect
12. #30444C2semidirect
13. #28557C2semidirect
14. #26954C2semidirect
15. #26933C2semidirect
16. #26644C2semidirect
17. #26643C2semidirect
18. #25794C2semidirect
19. #25770C2semidirect
20. #25759C2semidirect
21. #25097C2semidirect
22. #25096C2semidirect
23. #24451C2semidirect
24. #24450C2semidirect
25. #23923C2semidirect
26. #23918C2semidirect
27. #23857C2semidirect
28. #23850C2semidirect
29. #23391C2semidirect
30. #23142C2semidirect
31. #22036C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×#135C22semidirect
35. C2×#550C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
46. C2×#493C22semidirect
47. C2×#482C22semidirect
48. C2×#482C22semidirect
49. C2×#483C22semidirect
50. C2×#480C22semidirect
55. C2×#466C22semidirect
56. C2×#464C22semidirect
57. C2×#460C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
60. C2×#452C22semidirect
61. C2×#452C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#450C22semidirect
75. C2×#447C22semidirect
76. C2×#440C22semidirect
77. C2×#435C22semidirect
78. C2×#417C22semidirect
79. C2×#418C22semidirect
86. #2541C22semidirect
91. #2433C22semidirect
92. #2433C22semidirect
94. #2431C22semidirect
98. #2428C22semidirect
100. #2426C22semidirect
103. #2416C22semidirect
104. #2416C22semidirect
106. #2414C22semidirect
110. #2407C22semidirect
112. #2363C22semidirect
113. #2360C22semidirect
114. #2360C22semidirect
118. #2088C22semidirect
119. #2077C22semidirect
120. #2068C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2042C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2015C22semidirect
132. #2014C22semidirect
133. #2012C22semidirect
134. #2012C22semidirect
135. #2011C22semidirect
136. #2011C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2001C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1972C22semidirect
161. #1968C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1935C22semidirect
167. #1934C22semidirect
168. #1926C22semidirect
169. #1925C22semidirect
170. #1924C22semidirect
171. #1924C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1921C22semidirect
175. #1918C22semidirect
176. #1893C22semidirect
177. #1893C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
190. #1873C22semidirect
191. #1873C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1862C22semidirect
197. #1851C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
201. #1762C22semidirect
202. C4×#103C22semidirect
203. #1753C22semidirect
204. #1736C22semidirect
343. #468D4semidirect
668. C2×SD16C2×D4semidirect
915. #107C2×D4semidirect
928. #103C2×D4semidirect
952. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32682
C2×#31942
#590032
#310332
#310302
#307142
#307012
#304752
#304722
#304622
#304442
#285572
#269542
#269332
#266442
#266432
#257942
#257702
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