Finite Group Databasebeta

← #6815771

Subgroups — #6815771

Order 512.

1939 conjugacy classes of subgroups.

The subgroup lattice has 1462 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3371C211yesmaximal, characteristic, complemented
2C2×#3310C211yesmaximal, characteristic, complemented
3#42888C211yesmaximal, characteristic, complemented
4#42484C211yesmaximal, characteristic
5#33228C211yesmaximal, characteristic, complemented
6#31140C211yesmaximal, characteristic, complemented
7#31137C211yesmaximal, characteristic, complemented
8#31124C211yesmaximal, characteristic, complemented
9#31121C211yesmaximal, characteristic, complemented
10#31012C211yesmaximal, characteristic, complemented
11#31004C211yesmaximal, characteristic, complemented
12#30996C211yesmaximal, characteristic, complemented
13#30988C211yesmaximal, characteristic, complemented
14#29874C211yesmaximal, characteristic, complemented
15#29803C211yesmaximal, characteristic, complemented
16#28650C211yesmaximal, characteristic, complemented
17#28612C211yesmaximal, characteristic, complemented
18#27279C211yesmaximal, characteristic, complemented
19#27271C211yesmaximal, characteristic, complemented
20#27264C211yesmaximal, characteristic, complemented
21#27256C211yesmaximal, characteristic, complemented
22#26989C211yesmaximal, characteristic, complemented
23#26980C211yesmaximal, characteristic, complemented
24#26971C211yesmaximal, characteristic, complemented
25#26962C211yesmaximal, characteristic, complemented
26#25935C211yesmaximal, characteristic, complemented
27#25881C211yesmaximal, characteristic, complemented
28#25653C211yesmaximal, characteristic, complemented
29#25576C211yesmaximal, characteristic, complemented
30#21637C211yesmaximal, characteristic, complemented
31#21291C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#552C2211yescharacteristic
35C2×D42C2211yescharacteristic
36#3371—28no—
37#3310—28no—
38C2×#490C2211yescharacteristic
39C2×#490C2211yescharacteristic
40C2×#489C2211yescharacteristic, complemented
41C2×#488C2211yescharacteristic
42C2×#488C2211yescharacteristic, complemented
43C2×#486C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#480C2211yescharacteristic
46C2×#479C2211yescharacteristic, complemented
47C2×#478C2211yescharacteristic
48C2×#478C2211yescharacteristic, complemented
49C2×#476C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#465C2211yescharacteristic
52C2×#464C2211yescharacteristic
53C2×#464C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic
55C2×#460C2211yescharacteristic
56C2×#450C2211yescharacteristic
57C2×#450C2211yescharacteristic
58C2×#446C2211yescharacteristic, complemented
59C2×#441C2211yescharacteristic, complemented
60C2×#440C2211yescharacteristic
61C2×C4×SD16C2211yescharacteristic, complemented
62C2×#435C2211yescharacteristic
63C2×#418C2211yescharacteristic
64C22×#102C2211yescharacteristic
65#2821—21no—
66#2813—21no—
67#2719—21no—
68#2719—21no—
69#2694—21no—
70#2694—21no—
71#2678—21no—
72#2678—21no—
73#2670—21no—
74#2670—21no—
75#2660C2211yescharacteristic, complemented
76#2657C2211yescharacteristic
77#2637—21no—
78#2635—21no—
79#2628—21no—
80#2613—21no—
81#2599—21no—
82#2584C2211yescharacteristic, complemented
83#2563C2211yescharacteristic
84#2548C2211yescharacteristic
85#2540C2211yescharacteristic
86#2442C2211yescharacteristic, complemented
87#2442C2211yescharacteristic, complemented
88#2441C2211yescharacteristic, complemented
89#2441C2211yescharacteristic, complemented
90#2435C2211yescharacteristic
91#2435C2211yescharacteristic
92#2433C2211yescharacteristic
93#2433C2211yescharacteristic
94#2428C2211yescharacteristic
95#2428C2211yescharacteristic
96#2426C2211yescharacteristic
97#2426C2211yescharacteristic
98#2423C2211yescharacteristic, complemented
99#2423C2211yescharacteristic, complemented
100#2421C2211yescharacteristic, complemented
101#2421C2211yescharacteristic, complemented
102#2408—21no—
103#2398C2211yescharacteristic
104#2320C2211yescharacteristic, complemented
105#2319C2211yescharacteristic
106#2085C2211yescharacteristic, complemented
107#2085C2211yescharacteristic, complemented
108#2084C2211yescharacteristic, complemented
109#2084C2211yescharacteristic, complemented
110#2073C2211yescharacteristic
111#2073C2211yescharacteristic
112#2071C2211yescharacteristic
113#2071C2211yescharacteristic
114#2067C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2042C2211yescharacteristic
119#2042C2211yescharacteristic
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2041C2211yescharacteristic
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2025C2211yescharacteristic, complemented
136#2025C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2014C2211yescharacteristic, complemented
142#2001C2211yescharacteristic, complemented
143#2001C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1989C2211yescharacteristic, complemented
147#1988C2211yescharacteristic, complemented
148#1984C2211yescharacteristic, complemented
149#1983C2211yescharacteristic, complemented
150#1982C2211yescharacteristic
151#1973C2211yescharacteristic
152#1968C2211yescharacteristic
153#1961C2211yescharacteristic, complemented
154#1961C2211yescharacteristic, complemented
155#1959C2211yescharacteristic, complemented
156#1959C2211yescharacteristic, complemented
157#1958C2211yescharacteristic, complemented
158#1958C2211yescharacteristic, complemented
159#1957C2211yescharacteristic, complemented
160#1957C2211yescharacteristic, complemented
161#1954C2211yescharacteristic
162#1943C2211yescharacteristic, complemented
163#1942C2211yescharacteristic, complemented
164#1936C2211yescharacteristic
165#1936C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1935C2211yescharacteristic, complemented
168#1934C2211yescharacteristic
169#1934C2211yescharacteristic, complemented
170#1934C2211yescharacteristic, complemented
171#1933C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1892C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1862C2211yescharacteristic, complemented
192#1832C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1776C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1726C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#559—24no—
216#559—42no—
217#557—24no—
218#557—42no—
219#552—24no—
220#552—42no—
221D42—24no—
222D42—42no—
223C2×C4⋊Q8—21no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#126—21no—
230C2×#125—21no—
231C2×#125—21no—
232C2×#125—21no—
233C2×#125C2311yescharacteristic
234C2×#125C2311yescharacteristic
235C2×#125C2311yescharacteristic
236C2×#124—21no—
237C2×#124—21no—
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×C4×Q8—21no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117—21no—
273C2×#117C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275#490—24no—
276#490—24no—
277#489—24no—
278#488—24no—
279#488—42no—
280#486—42no—
281#482—24no—
282#480—24no—
283#479—24no—
284#478—24no—
285#478—24no—
286#476—24no—
287#468—24no—
288#465—24no—
289#464—24no—
290#464—24no—
291#460—24no—
292#460—24no—
293#450—24no—
294#450—24no—
295#446—24no—
296#441—24no—
297#440D418yescomplemented
298C4×SD16—24no—
299#435—24no—
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311#418—24no—
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#102—24no—
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×#97C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×C4×C8C2311yescharacteristic
362C2×C4×C8C2311yescharacteristic
363C2×C4×C8C2311yescharacteristic
364C2×C4×C8C2311yescharacteristic
365#400—21no—
366#400—21no—
367#400—21no—
368#400—21no—
369#400D411yescharacteristic
370#400D411yescharacteristic
371#399—21no—
372#399—21no—
373#399—21no—
374#399—21no—
375#399—21no—
376#398—21no—
377#398—21no—
378#398—21no—
379#398—21no—
380#398—21no—
381#398—21no—
382#398—21no—
383#397—21no—
384#397—21no—
385#397D411yescharacteristic
386#397D411yescharacteristic
387#396—21no—
388#396—21no—
389#396—21no—
390#396—21no—
391#395—21no—
392#395—21no—
393#395—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394D411yescharacteristic
405#394D411yescharacteristic
406#393—21no—
407#393—21no—
408#393D411yescharacteristic
409#393D411yescharacteristic
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#391C2311yescharacteristic
422#391C2311yescharacteristic
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#390—21no—
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#389—21no—
436#389—21no—
437#389—21no—
438#389—21no—
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#389C2311yescharacteristic
445#389C2311yescharacteristic
446#389C2311yescharacteristic
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#387—21no—
456#387—21no—
457#387—21no—
458#387—21no—
459#387—21no—
460#387—21no—
461#387—21no—
462#387—21no—
463#386—21no—
464#386—21no—
465#385—21no—
466#385—21no—
467#384C2311yescharacteristic
468#384C2311yescharacteristic
469#383—21no—
470#382—21no—
471#382—21no—
472#382C2311yescharacteristic
473#382C2311yescharacteristic
474#381—21no—
475#380—21no—
476#380—21no—
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#379—21no—
483#379—21no—
484#379—21no—
485#379—21no—
486C4×C4⋊C4C2311yescharacteristic
487C4×C4⋊C4C2311yescharacteristic
488C4×C22⋊C4C2311yescharacteristic
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
492#376C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25—21no—
517C22×Q8—21no—
518C22×Q8C2×D411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—44no—
548C22×D4—82no—
549C22×D4—82no—
550C22×D4C2×D411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C2×Q16—22no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16C2×D414yes—
575C2×M16—22no—
576C2×M16—41no—
577C2×M16—41no—
578C22×C8—22no—
579C22×C8—41no—
580C22×C8—41no—
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C4⋊Q8—22no—
590C4⋊Q8—22no—
591C4⋊Q8—44no—
592#127—22no—
593#127—22no—
594#127—22no—
595#127—41no—
596#127—41no—
597#127—41no—
598#127—41no—
599#127—41no—
600#126—44no—
601#125—22no—
602#125—22no—
603#125—22no—
604#125—22no—
605#125—41no—
606#125—41no—
607#125—44no—
608#125—44no—
609#125—44no—
610#124—22no—
611#124—22no—
612#124—22no—
613#124—41no—
614#124—41no—
615#124—41no—
616#124—41no—
617#124—41no—
618#124—44no—
619#124—82no—
620#123—44no—
621#123—44no—
622#123—44no—
623C22⋊Q8—22no—
624C22⋊Q8—22no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631#121—22no—
632#121—22no—
633#121—41no—
634#121—41no—
635#121—44no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—82no—
641#121—82no—
642#120—44no—
643#120—44no—
644#120—82no—
645#120—82no—
646#120—82no—
647#120—82no—
648C4×Q8—22no—
649C4×Q8—22no—
650C4×Q8—22no—
651C4×Q8—22no—
652C4×Q8—22no—
653C4×Q8—22no—
654C4×Q8—41no—
655C4×Q8—41no—
656C4×Q8—41no—
657C4×Q8—44no—
658C4×Q8C2×D414yes—
659C4×D4—22no—
660C4×D4—22no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—41no—
664C4×D4—44no—
665C4×D4C2×D414yes—
666#117—22no—
667#117—44no—
668#117—41no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—22no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—41no—
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770#107—22no—
771#107—41no—
772#107C2×D414yes—
773#106—22no—
774#106—22no—
775#106—22no—
776#106—41no—
777C4⋊C8—22no—
778C4⋊C8—22no—
779C4⋊C8—22no—
780C4⋊C8—22no—
781#103—22no—
782#103—22no—
783#103—22no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103C2×D414yes—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102C2×D414yes—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825#97—22no—
826#97—41no—
827#97—41no—
828#97C2×D414yes—
829C4×C8—22no—
830C4×C8—22no—
831C4×C8—41no—
832C4×C8—41no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—42no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887C2×Q8—22no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—41no—
900C2×Q8—41no—
901C2×Q8—42no—
902C2×Q8—81no—
903C2×Q8—81no—
904C2×Q8C22×D412yes—
905C2×D4—22no—
906C2×D4—22no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—41no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—816no—
982C2×D4C22×D412yes—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—24no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C2511yescharacteristic
1029Q16—44no—
1030SD16—44no—
1031SD16—44no—
1032SD16—82no—
1033SD16—82no—
1034M16—82no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—82no—
1058C2×C8C22×D412yes—
1059C2×C8C22×D412yes—
1060C4⋊C4—24no—
1061C4⋊C4—22no—
1062C4⋊C4—22no—
1063C4⋊C4—22no—
1064C4⋊C4—22no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—42no—
1084C4⋊C4—42no—
1085C4⋊C4—42no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4C22×D412yes—
1111C4⋊C4C22×D412yes—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—24no—
1115C22⋊C4—22no—
1116C22⋊C4—22no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C42—24no—
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—42no—
1167C42—42no—
1168C42—42no—
1169C42—42no—
1170C42—81no—
1171C42—81no—
1172C42C22×D412yes—
1173C42H(5,𝔽2)12yes—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—22no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—84no—
1216C23—84no—
1217C23—84no—
1218C23—84no—
1219C23—162no—
1220C23—162no—
1221C23—162no—
1222C23—162no—
1223C23—162no—
1224C23—162no—
1225C23—162no—
1226C23—162no—
1227C23—162no—
1228C23—162no—
1229C23#57712yes—
1230C23C23×D411yescharacteristic
1231Q8—22no—
1232Q8—22no—
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—82no—
1240Q8—84no—
1241D4—22no—
1242D4—22no—
1243D4—44no—
1244D4—41no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—84no—
1259D4—84no—
1260D4—84no—
1261D4—84no—
1262D4—84no—
1263D4—84no—
1264D4—162no—
1265D4—162no—
1266D4—162no—
1267D4—162no—
1268D4—162no—
1269D4—162no—
1270D4—162no—
1271D4—162no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—22no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—22no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—22no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—84no—
1351C2×C4—84no—
1352C2×C4—162no—
1353C2×C4D4212yes—
1354C2×C4D4212yes—
1355C2×C4C23×D411yescharacteristic
1356C2×C4C2×H(5,𝔽2)11yescharacteristic
1357C2×C4#58511yescharacteristic
1358C2×C4#58511yescharacteristic
1359C2×C4#58511yescharacteristic
1360C2×C4#58511yescharacteristic
1361C8—22no—
1362C8—22no—
1363C8—41no—
1364C8—41no—
1365C8—41no—
1366C8—41no—
1367C8—41no—
1368C8—41no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—42no—
1380C22—41no—
1381C22—42no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—42no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—168no—
1412C22—168no—
1413C22C2×D4211yescharacteristic
1414C22#350011yescharacteristic
1415C22#350011yescharacteristic
1416C22C2×#57711yescharacteristic
1417C22#358411yescharacteristic
1418C22#358511yescharacteristic
1419C22#358511yescharacteristic
1420C4—22no—
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—42no—
1428C4—42no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—42no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4#344911yescharacteristic
1445C4#350011yescharacteristic
1446C4#356211yescharacteristic
1447C4#356211yescharacteristic
1448C2—42no—
1449C2—81no—
1450C2—82no—
1451C2—161no—
1452C2—161no—
1453C2—161no—
1454C2#3935711yescharacteristic
1455C2#6107111yescharacteristic
1456C2#6107711yescharacteristic
1457C2#6255611yescharacteristic
1458C2#6256411yescharacteristic
1459C2#6259611yescharacteristic
1460C2#6261411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#42484C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2398 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3371C2semidirect
2. C2×#3310C2semidirect
3. #42888C2semidirect
5. #33228C2semidirect
6. #31140C2semidirect
7. #31137C2semidirect
8. #31124C2semidirect
9. #31121C2semidirect
10. #31012C2semidirect
11. #31004C2semidirect
12. #30996C2semidirect
13. #30988C2semidirect
14. #29874C2semidirect
15. #29803C2semidirect
16. #28650C2semidirect
17. #28612C2semidirect
18. #27279C2semidirect
19. #27271C2semidirect
20. #27264C2semidirect
21. #27256C2semidirect
22. #26989C2semidirect
23. #26980C2semidirect
24. #26971C2semidirect
25. #26962C2semidirect
26. #25935C2semidirect
27. #25881C2semidirect
28. #25653C2semidirect
29. #25576C2semidirect
30. #21637C2semidirect
31. #21291C2semidirect
33. C2×#557C22semidirect
40. C2×#489C22semidirect
42. C2×#488C22semidirect
46. C2×#479C22semidirect
48. C2×#478C22semidirect
53. C2×#464C22semidirect
58. C2×#446C22semidirect
59. C2×#441C22semidirect
61. C2×C4×SD16C22semidirect
75. #2660C22semidirect
82. #2584C22semidirect
86. #2442C22semidirect
87. #2442C22semidirect
88. #2441C22semidirect
89. #2441C22semidirect
98. #2423C22semidirect
99. #2423C22semidirect
100. #2421C22semidirect
101. #2421C22semidirect
104. #2320C22semidirect
106. #2085C22semidirect
107. #2085C22semidirect
108. #2084C22semidirect
109. #2084C22semidirect
114. #2067C22semidirect
115. #2067C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2036C22semidirect
127. #2035C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2025C22semidirect
135. #2025C22semidirect
136. #2025C22semidirect
137. #2025C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2014C22semidirect
141. #2014C22semidirect
142. #2001C22semidirect
143. #2001C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #1989C22semidirect
147. #1988C22semidirect
148. #1984C22semidirect
149. #1983C22semidirect
153. #1961C22semidirect
154. #1961C22semidirect
155. #1959C22semidirect
156. #1959C22semidirect
157. #1958C22semidirect
158. #1958C22semidirect
159. #1957C22semidirect
160. #1957C22semidirect
162. #1943C22semidirect
163. #1942C22semidirect
165. #1936C22semidirect
166. #1936C22semidirect
167. #1935C22semidirect
169. #1934C22semidirect
170. #1934C22semidirect
171. #1933C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1893C22semidirect
179. #1892C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1875C22semidirect
185. #1874C22semidirect
186. #1873C22semidirect
187. #1872C22semidirect
188. #1865C22semidirect
189. #1864C22semidirect
190. #1863C22semidirect
191. #1862C22semidirect
192. #1832C22semidirect
197. #1776C22semidirect
198. C4×#103C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1726C22semidirect
297. #440D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33712
C2×#33102
#428882
#424842
#332282
#311402
#311372
#311242
#311212
#310122
#310042
#309962
#309882
#298742
#298032
#286502
#286122
#272792
#272712
#272642
#272562
#269892
#269802
#269712
#269622
#259352
#258812
#256532
#255762
#216372
#212912