Finite Group Databasebeta

← #6668461

Subgroups — #6668461

Order 512.

2873 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3333C211yesmaximal, characteristic, complemented
2C2×#3012C211yesmaximal, characteristic, complemented
3#42434C211yesmaximal, characteristic, complemented
4#36091C211yesmaximal, characteristic, complemented
5#32886C211yesmaximal, characteristic, complemented
6#31040C211yesmaximal, characteristic, complemented
7#31016C211yesmaximal, characteristic, complemented
8#30527C211yesmaximal, characteristic, complemented
9#30519C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30510C211yesmaximal, characteristic, complemented
12#30472C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#29747C211yesmaximal, characteristic, complemented
15#29607C211yesmaximal, characteristic, complemented
16#27252C211yesmaximal, characteristic, complemented
17#27231C211yesmaximal, characteristic, complemented
18#25791C211yesmaximal, characteristic, complemented
19#25765C211yesmaximal, characteristic, complemented
20#25755C211yesmaximal, characteristic, complemented
21#25163C211yesmaximal, characteristic, complemented
22#25151C211yesmaximal, characteristic, complemented
23#24476C211yesmaximal, characteristic, complemented
24#24451C211yesmaximal, characteristic, complemented
25#24443C211yesmaximal, characteristic, complemented
26#24363C211yesmaximal, characteristic, complemented
27#24277C211yesmaximal, characteristic, complemented
28#23969C211yesmaximal, characteristic, complemented
29#23857C211yesmaximal, characteristic, complemented
30#22583C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C2×#554C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#537C2211yescharacteristic
40#3333—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#492C2211yescharacteristic, complemented
43C2×#486C2211yescharacteristic, complemented
44C2×#480C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#477C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#462C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54#3012—28no—
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#450C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×C4×Q16C2211yescharacteristic, complemented
74C2×#436C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic
76C2×#417C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic
78C2×#408C2211yescharacteristic
79#2816—21no—
80#2720—21no—
81#2711—21no—
82#2692—21no—
83#2676—21no—
84#2635—21no—
85#2620—21no—
86#2616C2211yescharacteristic
87#2615—21no—
88#2615C2211yescharacteristic
89#2542C2211yescharacteristic, complemented
90#2540C2211yescharacteristic, complemented
91#2492C2211yescharacteristic, complemented
92#2491C2211yescharacteristic, complemented
93#2433—21no—
94#2433—21no—
95#2433—21no—
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic
98#2433C2211yescharacteristic
99#2432C2211yescharacteristic, complemented
100#2429C2211yescharacteristic, complemented
101#2426C2211yescharacteristic, complemented
102#2417C2211yescharacteristic, complemented
103#2416C2211yescharacteristic, complemented
104#2414—21no—
105#2408—21no—
106#2408—21no—
107#2408—21no—
108#2408C2211yescharacteristic
109#2408C2211yescharacteristic
110#2408C2211yescharacteristic
111#2407C2211yescharacteristic, complemented
112#2388—21no—
113#2388C2211yescharacteristic
114#2344C2211yescharacteristic, complemented
115#2341C2211yescharacteristic
116#2341C2211yescharacteristic
117#2341C2211yescharacteristic
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2023C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1982C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1780C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—42no—
207C2×H(5,𝔽2)—42no—
208C2×H(5,𝔽2)—42no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C22×#41—21no—
212C22×#41C2311yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×#135—24no—
228C2×#135—42no—
229C2×#135—42no—
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C23×C8C2311yescharacteristic
248#554—24no—
249#554—42no—
250#550—24no—
251#550—42no—
252#550—42no—
253#550—42no—
254#550—42no—
255#550—42no—
256#537—24no—
257#537—42no—
258C2×C4⋊Q8C2311yescharacteristic
259C2×C4⋊Q8C2311yescharacteristic
260C2×#127—21no—
261C2×#127—21no—
262C2×#127—21no—
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#125—21no—
267C2×#124—21no—
268C2×#124C2311yescharacteristic
269C2×C22⋊Q8—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×#117—21no—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321#496—42no—
322#492—42no—
323#486—24no—
324#480—24no—
325#480—24no—
326#477—24no—
327#469—42no—
328#468—24no—
329#468—24no—
330#468—42no—
331#464—42no—
332#462—42no—
333#460—24no—
334#452—24no—
335#452—24no—
336#452—24no—
337#452—24no—
338#452—42no—
339#452—42no—
340#452—42no—
341#450—24no—
342#450—24no—
343#450—42no—
344#450—42no—
345#450—42no—
346#449—24no—
347#449—24no—
348#449—42no—
349#449—42no—
350#447—24no—
351#447—24no—
352C4×Q16—24no—
353#436—24no—
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362#417—24no—
363#417D418yescomplemented
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#102—24no—
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
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
399#408—24no—
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416#400—21no—
417#399—21no—
418#399—21no—
419#399—21no—
420#398—21no—
421#398—21no—
422#396—21no—
423#396—21no—
424#396—21no—
425#396—21no—
426#395—21no—
427#395D411yescharacteristic
428#394—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#394—21no—
440#394D411yescharacteristic
441#394D411yescharacteristic
442#394D411yescharacteristic
443#393—21no—
444#393—21no—
445#393—21no—
446#393D411yescharacteristic
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#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392D411yescharacteristic
462#392D411yescharacteristic
463#392D411yescharacteristic
464#391—21no—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
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#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#389—21no—
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#388—21no—
489#388—21no—
490#388—21no—
491#388—21no—
492#387—21no—
493#387—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#384—21no—
501#381—21no—
502#380—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
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—
541C25—21no—
542H(5,𝔽2)—416no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—44no—
578C2×#41—44no—
579C2×#41—44no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41C2×D414yes—
585C22×Q8—21no—
586C22×Q8C2×D411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—22no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—22no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—44no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2411yescharacteristic
647C22×D4C2411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662AGL(1,ℤ/8)—416no—
663#135—416no—
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×M16—22no—
710C2×M16—41no—
711C2×M16—41no—
712C2×M16—41no—
713C2×M16—41no—
714C2×M16C2×D414yes—
715C22×C8—22no—
716C22×C8—41no—
717C22×C8—41no—
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C4⋊Q8—22no—
727C4⋊Q8—41no—
728C4⋊Q8—41no—
729C4⋊Q8—41no—
730#127—22no—
731#127—22no—
732#127—22no—
733#127—41no—
734#127—41no—
735#127—41no—
736#127—44no—
737#127—44no—
738#127—44no—
739#125—44no—
740#124—41no—
741#124—41no—
742#124—82no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—44no—
749C22⋊Q8—44no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—44no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—44no—
768#121—44no—
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—44no—
783#121—44no—
784#121—44no—
785#121—41no—
786#121—41no—
787#121—82no—
788#120—82no—
789#120—82no—
790#120—82no—
791#120—82no—
792#120—82no—
793#120—82no—
794#120—82no—
795#120—82no—
796#120—82no—
797C4×Q8—22no—
798C4×Q8—22no—
799C4×Q8—22no—
800C4×Q8—22no—
801C4×Q8—41no—
802C4×Q8—41no—
803C4×Q8—41no—
804C4×Q8—41no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—44no—
814C4×D4—44no—
815#117—82no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—22no—
818C2×C4⋊C4—22no—
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—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—41no—
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D414yes—
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
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×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C42—21no—
902C2×C42—21no—
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910#107—22no—
911#107—22no—
912#107—22no—
913#107—41no—
914#106—41no—
915C4⋊C8—22no—
916C4⋊C8—41no—
917C4⋊C8—41no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
927#103C2×D414yes—
928#103C2×D414yes—
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—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102C2×D414yes—
951#102C2×D414yes—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965#97—41no—
966C4×C8—22no—
967C4×C8—41no—
968#95—21no—
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#95—21no—
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017C24C22×D411yescharacteristic
1018#41—28no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—432no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041#41—82no—
1042#41—82no—
1043C2×Q8—22no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—41no—
1060C2×Q8—41no—
1061C2×Q8—42no—
1062C2×Q8—81no—
1063C2×Q8—81no—
1064C2×Q8C22×D412yes—
1065C2×Q8H(5,𝔽2)12yes—
1066C2×Q8H(5,𝔽2)12yes—
1067C2×D4—28no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—24no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—22no—
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—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
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—44no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—432no—
1152C2×D4—432no—
1153C2×D4—432no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
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—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4C22×D412yes—
1197C2×D4H(5,𝔽2)12yes—
1198C2×D4H(5,𝔽2)12yes—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—24no—
1209C22×C4—24no—
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—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
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—42no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D412yes—
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4H(5,𝔽2)12yes—
1265C22×C4C2511yescharacteristic
1266Q16—44no—
1267Q16—44no—
1268SD16—44no—
1269SD16—44no—
1270SD16—44no—
1271SD16—44no—
1272SD16—82no—
1273SD16—82no—
1274SD16—82no—
1275SD16—82no—
1276SD16—82no—
1277D8—44no—
1278D8—44no—
1279D8—44no—
1280D8—82no—
1281M16—44no—
1282M16—82no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
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—44no—
1306C2×C8C22×D412yes—
1307C2×C8C22×D412yes—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—81no—
1338C4⋊C4—81no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4—81no—
1343C4⋊C4C22×D412yes—
1344C4⋊C4C22×D412yes—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
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—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C42—21no—
1398C42—21no—
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42—21no—
1403C42—42no—
1404C42—42no—
1405C42—42no—
1406C42—42no—
1407C42—42no—
1408C42—81no—
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—22no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—48no—
1440C23—48no—
1441C23—48no—
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—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—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23—162no—
1490C23—162no—
1491C23—162no—
1492C23D4212yes—
1493C23C23×D411yescharacteristic
1494Q8—22no—
1495Q8—22no—
1496Q8—22no—
1497Q8—44no—
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—41no—
1505Q8—41no—
1506Q8—162no—
1507Q8#53514yes—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—22no—
1513D4—22no—
1514D4—44no—
1515D4—48no—
1516D4—48no—
1517D4—44no—
1518D4—48no—
1519D4—48no—
1520D4—44no—
1521D4—44no—
1522D4—48no—
1523D4—48no—
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—41no—
1538D4—82no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—82no—
1543D4—84no—
1544D4—84no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
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—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
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—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—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—162no—
1640C2×C4D4212yes—
1641C2×C4#57612yes—
1642C2×C4#57712yes—
1643C2×C4C23×D411yescharacteristic
1644C2×C4C2×H(5,𝔽2)11yescharacteristic
1645C2×C4C2×H(5,𝔽2)11yescharacteristic
1646C2×C4C2×H(5,𝔽2)11yescharacteristic
1647C2×C4C2×H(5,𝔽2)11yescharacteristic
1648C2×C4C2×H(5,𝔽2)11yescharacteristic
1649C8—22no—
1650C8—22no—
1651C8—41no—
1652C8—41no—
1653C8—41no—
1654C8—41no—
1655C8—41no—
1656C8—41no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
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—168no—
1721C22—168no—
1722C22—168no—
1723C22C2×D4211yescharacteristic
1724C22#348411yescharacteristic
1725C22#348411yescharacteristic
1726C22C2×#57611yescharacteristic
1727C22C2×#57711yescharacteristic
1728C22#358511yescharacteristic
1729C22#358611yescharacteristic
1730C4—22no—
1731C4—24no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4C2×#53511yescharacteristic
1752C4#348411yescharacteristic
1753C4#353211yescharacteristic
1754C4#353211yescharacteristic
1755C2—42no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2—82no—
1760C2—82no—
1761C2—82no—
1762C2—161no—
1763C2—161no—
1764C2#3764511yescharacteristic
1765C2#6107511yescharacteristic
1766C2#6109311yescharacteristic
1767C2#6162411yescharacteristic
1768C2#6165411yescharacteristic
1769C2#6166811yescharacteristic
1770C2#6168911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3333C2semidirect
2. C2×#3012C2semidirect
3. #42434C2semidirect
4. #36091C2semidirect
5. #32886C2semidirect
6. #31040C2semidirect
7. #31016C2semidirect
8. #30527C2semidirect
9. #30519C2semidirect
10. #30511C2semidirect
11. #30510C2semidirect
12. #30472C2semidirect
13. #30456C2semidirect
14. #29747C2semidirect
15. #29607C2semidirect
16. #27252C2semidirect
17. #27231C2semidirect
18. #25791C2semidirect
19. #25765C2semidirect
20. #25755C2semidirect
21. #25163C2semidirect
22. #25151C2semidirect
23. #24476C2semidirect
24. #24451C2semidirect
25. #24443C2semidirect
26. #24363C2semidirect
27. #24277C2semidirect
28. #23969C2semidirect
29. #23857C2semidirect
30. #22583C2semidirect
31. #22039C2semidirect
35. C2×#554C22semidirect
41. C2×#496C22semidirect
42. C2×#492C22semidirect
43. C2×#486C22semidirect
44. C2×#480C22semidirect
45. C2×#480C22semidirect
46. C2×#477C22semidirect
47. C2×#469C22semidirect
48. C2×#468C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
51. C2×#464C22semidirect
52. C2×#462C22semidirect
53. C2×#460C22semidirect
60. C2×#452C22semidirect
61. C2×#452C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
73. C2×C4×Q16C22semidirect
74. C2×#436C22semidirect
76. C2×#417C22semidirect
89. #2542C22semidirect
90. #2540C22semidirect
91. #2492C22semidirect
92. #2491C22semidirect
99. #2432C22semidirect
100. #2429C22semidirect
101. #2426C22semidirect
102. #2417C22semidirect
103. #2416C22semidirect
111. #2407C22semidirect
114. #2344C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2067C22semidirect
121. #2067C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2036C22semidirect
131. #2035C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2023C22semidirect
137. #2023C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2013C22semidirect
141. #2013C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1982C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1970C22semidirect
162. #1970C22semidirect
163. #1968C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1926C22semidirect
169. #1925C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1893C22semidirect
177. #1892C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1869C22semidirect
189. #1865C22semidirect
190. #1863C22semidirect
191. #1850C22semidirect
192. #1824C22semidirect
193. #1809C22semidirect
197. #1788C22semidirect
202. #1763C22semidirect
203. C4×#103C22semidirect
204. #1753C22semidirect
363. #417D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33332
C2×#30122
#424342
#360912
#328862
#310402
#310162
#305272
#305192
#305112
#305102
#304722
#304562
#297472
#296072
#272522
#272312
#257912
#257652
#257552
#251632
#251512
#244762
#244512
#244432
#243632
#242772
#239692
#238572
#225832
#220392