Finite Group Databasebeta

← #7025360

Subgroups — #7025360

Order 512.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59627C211yesmaximal, characteristic, complemented
2#59095C211yesmaximal, characteristic, complemented
3#32120C211yesmaximal, characteristic, complemented
4#31790C211yesmaximal, characteristic, complemented
5#31177C211yesmaximal, characteristic, complemented
6#30752C211yesmaximal, characteristic, complemented
7#30725C211yesmaximal, characteristic, complemented
8#30547C211yesmaximal, characteristic, complemented
9#30539C211yesmaximal, characteristic, complemented
10#30539C211yesmaximal, characteristic, complemented
11#28914C211yesmaximal, characteristic, complemented
12#28114C211yesmaximal, characteristic, complemented
13#27227C211yesmaximal, characteristic, complemented
14#27022C211yesmaximal, characteristic, complemented
15#26808C211yesmaximal, characteristic, complemented
16#26802C211yesmaximal, characteristic, complemented
17#26736C211yesmaximal, characteristic, complemented
18#26697C211yesmaximal, characteristic, complemented
19#26619C211yesmaximal, characteristic, complemented
20#26585C211yesmaximal, characteristic, complemented
21#26258C211yesmaximal, characteristic, complemented
22#25763C211yesmaximal, characteristic, complemented
23#25288C211yesmaximal, characteristic, complemented
24#25093C211yesmaximal, characteristic, complemented
25#24154C211yesmaximal, characteristic, complemented
26#24044C211yesmaximal, characteristic, complemented
27#23567C211yesmaximal, characteristic, complemented
28#23231C211yesmaximal, characteristic, complemented
29#22880C211yesmaximal, characteristic, complemented
30#22369C211yesmaximal, characteristic, complemented
31#22043C211yesmaximal, characteristic, complemented
32C2×#546—21no—
33C2×D42C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#490C2211yescharacteristic
37C2×#490C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic
39C2×#480C2211yescharacteristic, complemented
40C2×#475C2211yescharacteristic, complemented
41C2×#478C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic, complemented
43C2×#460C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#450C2211yescharacteristic
46C2×#450C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×C4×D8C2211yescharacteristic, complemented
50C2×C4×D8C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic
52#2797—21no—
53#2796—21no—
54#2676—21no—
55#2670—21no—
56#2602—21no—
57#2596—21no—
58#2541C2211yescharacteristic
59#2540C2211yescharacteristic
60#2517—21no—
61#2516—21no—
62#2513—21no—
63#2491C2211yescharacteristic
64#2490C2211yescharacteristic, complemented
65#2490C2211yescharacteristic, complemented
66#2489C2211yescharacteristic, complemented
67#2489C2211yescharacteristic, complemented
68#2485C2211yescharacteristic
69#2456—21no—
70#2452C2211yescharacteristic
71#2448C2211yescharacteristic, complemented
72#2447C2211yescharacteristic, complemented
73#2445C2211yescharacteristic
74#2433C2211yescharacteristic
75#2433C2211yescharacteristic
76#2428C2211yescharacteristic
77#2424—21no—
78#2424—21no—
79#2416C2211yescharacteristic
80#2410—21no—
81#2404—21no—
82#2370C2211yescharacteristic, complemented
83#2370C2211yescharacteristic, complemented
84#2366C2211yescharacteristic
85#2363C2211yescharacteristic, complemented
86#2362C2211yescharacteristic, complemented
87#2361C2211yescharacteristic
88#2357—21no—
89D4×C22⋊C4C2211yescharacteristic
90C4×C22⋊Q8C2211yescharacteristic, complemented
91C4×#123C2211yescharacteristic
92C4×#121C2211yescharacteristic, complemented
93C2×#390C2211yescharacteristic
94#2088C2211yescharacteristic, complemented
95#2077C2211yescharacteristic, complemented
96#2067C2211yescharacteristic
97#2067C2211yescharacteristic, complemented
98#2065C2211yescharacteristic, complemented
99#2065C2211yescharacteristic, complemented
100#2059C2211yescharacteristic, complemented
101#2057C2211yescharacteristic, complemented
102#2055C2211yescharacteristic
103#2055C2211yescharacteristic, complemented
104#2054C2211yescharacteristic
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2041C2211yescharacteristic
109#2041C2211yescharacteristic
110#2041C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic, complemented
117#2025C2211yescharacteristic
118#2025C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2023C2211yescharacteristic, complemented
121#2014C2211yescharacteristic
122#2014C2211yescharacteristic, complemented
123#2012C2211yescharacteristic, complemented
124#2011C2211yescharacteristic
125#2011C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic, complemented
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1989C2211yescharacteristic, complemented
135#1988C2211yescharacteristic, complemented
136#1982C2211yescharacteristic
137#1982C2211yescharacteristic
138#1982C2211yescharacteristic, complemented
139#1982C2211yescharacteristic, complemented
140#1973C2211yescharacteristic, complemented
141#1972C2211yescharacteristic
142#1972C2211yescharacteristic, complemented
143#1968C2211yescharacteristic
144#1968C2211yescharacteristic, complemented
145#1955C2211yescharacteristic
146#1944C2211yescharacteristic, complemented
147#1940C2211yescharacteristic, complemented
148#1936C2211yescharacteristic, complemented
149#1935C2211yescharacteristic, complemented
150#1934C2211yescharacteristic
151#1934C2211yescharacteristic, complemented
152#1928C2211yescharacteristic, complemented
153#1926C2211yescharacteristic
154#1926C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic
158#1925C2211yescharacteristic
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1921C2211yescharacteristic, complemented
167#1921C2211yescharacteristic, complemented
168#1917C2211yescharacteristic, complemented
169#1916C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic, complemented
172#1880C2211yescharacteristic
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1864C2211yescharacteristic
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic
187#1854C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1797C2211yescharacteristic, complemented
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1776C2211yescharacteristic, complemented
196#1771C2211yescharacteristic, complemented
197#1762C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216#546—48no—
217D42—42no—
218D42—42no—
219#532—42no—
220#532—42no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#127C2311yescharacteristic
224C2×#127C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#125C2311yescharacteristic
227C2×#125C2311yescharacteristic
228C2×#124—21no—
229C2×#124—21no—
230C2×#124C2311yescharacteristic
231C2×#123—21no—
232C2×#123D411yescharacteristic
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#120—21no—
249C2×#120—21no—
250C2×#120—21no—
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C22⋊C4—21no—
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C42C2311yescharacteristic
271#496—42no—
272#490—24no—
273#490—42no—
274#482—42no—
275#480—42no—
276#478—42no—
277#475—42no—
278#468—42no—
279#463—42no—
280#460—42no—
281#450—24no—
282#450—42no—
283#447—24no—
284#447—42no—
285C4×D8—42no—
286C4×D8—42no—
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300#418—42no—
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#400—21no—
347#399—21no—
348#399—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#396—21no—
358#396—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#393—21no—
368#393—21no—
369#392—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#391C2311yescharacteristic
378#391C2311yescharacteristic
379#391C2311yescharacteristic
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390—21no—
386#390—21no—
387#390—21no—
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#389—21no—
400#389—21no—
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388D411yescharacteristic
421#388D411yescharacteristic
422#387—21no—
423#387—21no—
424#387—21no—
425#387—21no—
426#387—21no—
427#387—21no—
428#387—21no—
429#387D411yescharacteristic
430#387D411yescharacteristic
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386D411yescharacteristic
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385D411yescharacteristic
447#382—21no—
448#382—21no—
449#381—21no—
450#381D411yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#379—21no—
456C4×C4⋊C4—21no—
457C4×C4⋊C4—21no—
458C4×C4⋊C4—21no—
459C4×C4⋊C4—21no—
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C25—21no—
502C2×#41—44no—
503C2×#41—44no—
504C2×#41—82no—
505C22×Q8—21no—
506C22×Q8C2411yescharacteristic
507C22×D4—21no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—44no—
536C22×D4—44no—
537C22×D4—82no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4C2×D411yescharacteristic
551C23×C4C2×D411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554C2×SD16—22no—
555C2×SD16—22no—
556C2×SD16—22no—
557C2×SD16—41no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C4⋊Q8—22no—
590C4⋊Q8—41no—
591#127—22no—
592#127—22no—
593#127—22no—
594#127—41no—
595#127—41no—
596#127—41no—
597#127—41no—
598#127—41no—
599#125—22no—
600#125—22no—
601#125—41no—
602#125—41no—
603#124—41no—
604#124—41no—
605#124—44no—
606#124—44no—
607#123—24no—
608#123—44no—
609C22⋊Q8—22no—
610C22⋊Q8—22no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613C22⋊Q8—44no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—44no—
620#121—44no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—44no—
627#121—44no—
628#121—44no—
629#121—41no—
630#121—41no—
631#121—82no—
632#120—44no—
633#120—44no—
634#120—44no—
635#120—44no—
636#120—82no—
637#120—82no—
638C4×Q8—41no—
639C4×Q8—41no—
640C4×D4—22no—
641C4×D4—22no—
642C4×D4—22no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—44no—
653C4×D4—44no—
654C4×D4—44no—
655C4×D4—44no—
656#117—41no—
657#117—41no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
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—44no—
733C2×C22⋊C4—44no—
734C2×C22⋊C4—82no—
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C42—21no—
744C2×C42—21no—
745C2×C42—21no—
746C2×C42—21no—
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—41no—
752C2×C42—41no—
753C2×C42C2×D411yescharacteristic
754C2×C42C2×D411yescharacteristic
755C2×C42C2411yescharacteristic
756C2×C42C2411yescharacteristic
757C2×C42C2411yescharacteristic
758C2×C42C2411yescharacteristic
759C2×C42C2411yescharacteristic
760#107—22no—
761#107—22no—
762#107—22no—
763#107—41no—
764#106—22no—
765#106—41no—
766#106—41no—
767#106—41no—
768C4⋊C8—41no—
769C4⋊C8—41no—
770C4⋊C8—41no—
771C4⋊C8—41no—
772C4⋊C8—41no—
773#103—22no—
774#103—41no—
775#103—41no—
776#103—41no—
777#102—22no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102#4114yescomplemented
805C22⋊C8—22no—
806C22⋊C8—22no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809C22⋊C8—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812#97—22no—
813#97—41no—
814#97—41no—
815C4×C8—41no—
816C4×C8—41no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24C22×D411yescharacteristic
869C24C22×D411yescharacteristic
870#41—816no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—42no—
878C2×Q8—42no—
879C2×Q8—81no—
880C2×D4—24no—
881C2×D4—22no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—41no—
911C2×D4—41no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—44no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
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—82no—
955C2×D4—82no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
960C2×D4—82no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—816no—
968C2×D4C2×#4112yes—
969C2×D4H(5,𝔽2)12yes—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
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—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4AGL(1,ℤ/8)14yes—
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×C4C22×D411yescharacteristic
1029C22×C4C2511yescharacteristic
1030SD16—82no—
1031SD16—82no—
1032SD16—82no—
1033SD16—82no—
1034D8—44no—
1035D8—44no—
1036D8—82no—
1037D8—82no—
1038M16—82no—
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—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8C2×#4112yes—
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—41no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
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—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4C2×#4112yes—
1101C4⋊C4H(5,𝔽2)12yes—
1102C4⋊C4H(5,𝔽2)12yes—
1103C22⋊C4—24no—
1104C22⋊C4—22no—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
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—81no—
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—
1153C42—21no—
1154C42—21no—
1155C42—21no—
1156C42—21no—
1157C42—21no—
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—41no—
1164C42—41no—
1165C42—42no—
1166C42—42no—
1167C42—81no—
1168C42—81no—
1169C42—81no—
1170C42—81no—
1171C42—81no—
1172C42—81no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—22no—
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—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—84no—
1222C23—84no—
1223C23—84no—
1224C23—84no—
1225C23—84no—
1226C23—84no—
1227C23—84no—
1228C23—162no—
1229C23—162no—
1230C23—162no—
1231C23—162no—
1232C23—162no—
1233C23—162no—
1234C23—162no—
1235C23C2×AGL(1,ℤ/8)12yes—
1236C23C23×D411yescharacteristic
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—84no—
1242D4—22no—
1243D4—22no—
1244D4—22no—
1245D4—22no—
1246D4—44no—
1247D4—48no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—84no—
1265D4—84no—
1266D4—84no—
1267D4—84no—
1268D4—84no—
1269D4—84no—
1270D4—84no—
1271D4—84no—
1272D4—84no—
1273D4—162no—
1274D4—162no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
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—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—22no—
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—22no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—44no—
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—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—82no—
1358C2×C4—84no—
1359C2×C4—162no—
1360C2×C4—162no—
1361C2×C4—162no—
1362C2×C4C2×AGL(1,ℤ/8)12yes—
1363C2×C4C2×AGL(1,ℤ/8)12yes—
1364C2×C4C22×#4111yescharacteristic
1365C2×C4C2×H(5,𝔽2)11yescharacteristic
1366C2×C4C2×H(5,𝔽2)11yescharacteristic
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4#58511yescharacteristic
1369C2×C4#58511yescharacteristic
1370C8—22no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—42no—
1388C22—41no—
1389C22—42no—
1390C22—42no—
1391C22—41no—
1392C22—42no—
1393C22—41no—
1394C22—42no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
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—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—168no—
1428C22—168no—
1429C22D4×#4111yescharacteristic
1430C22#348411yescharacteristic
1431C22#348811yescharacteristic
1432C22C22×AGL(1,ℤ/8)11yescharacteristic
1433C22#358411yescharacteristic
1434C22#358511yescharacteristic
1435C22#358511yescharacteristic
1436C4—22no—
1437C4—22no—
1438C4—41no—
1439C4—42no—
1440C4—41no—
1441C4—42no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—42no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4#350811yescharacteristic
1460C4#351311yescharacteristic
1461C4#354011yescharacteristic
1462C4#355811yescharacteristic
1463C2—42no—
1464C2—81no—
1465C2—82no—
1466C2—82no—
1467C2—161no—
1468C2—161no—
1469C2—161no—
1470C2#4310511yescharacteristic
1471C2#6143911yescharacteristic
1472C2#6150611yescharacteristic
1473C2#6157111yescharacteristic
1474C2#6162811yescharacteristic
1475C2#6195911yescharacteristic
1476C2#6204911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59627C2semidirect
2. #59095C2semidirect
3. #32120C2semidirect
4. #31790C2semidirect
5. #31177C2semidirect
6. #30752C2semidirect
7. #30725C2semidirect
8. #30547C2semidirect
9. #30539C2semidirect
10. #30539C2semidirect
11. #28914C2semidirect
12. #28114C2semidirect
13. #27227C2semidirect
14. #27022C2semidirect
15. #26808C2semidirect
16. #26802C2semidirect
17. #26736C2semidirect
18. #26697C2semidirect
19. #26619C2semidirect
20. #26585C2semidirect
21. #26258C2semidirect
22. #25763C2semidirect
23. #25288C2semidirect
24. #25093C2semidirect
25. #24154C2semidirect
26. #24044C2semidirect
27. #23567C2semidirect
28. #23231C2semidirect
29. #22880C2semidirect
30. #22369C2semidirect
31. #22043C2semidirect
37. C2×#490C22semidirect
39. C2×#480C22semidirect
40. C2×#475C22semidirect
41. C2×#478C22semidirect
42. C2×#468C22semidirect
43. C2×#460C22semidirect
49. C2×C4×D8C22semidirect
50. C2×C4×D8C22semidirect
64. #2490C22semidirect
65. #2490C22semidirect
66. #2489C22semidirect
67. #2489C22semidirect
71. #2448C22semidirect
72. #2447C22semidirect
82. #2370C22semidirect
83. #2370C22semidirect
85. #2363C22semidirect
86. #2362C22semidirect
90. C4×C22⋊Q8C22semidirect
92. C4×#121C22semidirect
94. #2088C22semidirect
95. #2077C22semidirect
97. #2067C22semidirect
98. #2065C22semidirect
99. #2065C22semidirect
100. #2059C22semidirect
101. #2057C22semidirect
103. #2055C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2042C22semidirect
110. #2041C22semidirect
111. #2036C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
116. #2033C22semidirect
118. #2025C22semidirect
119. #2025C22semidirect
120. #2023C22semidirect
122. #2014C22semidirect
123. #2012C22semidirect
125. #2011C22semidirect
126. #2011C22semidirect
129. #2000C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1989C22semidirect
135. #1988C22semidirect
138. #1982C22semidirect
139. #1982C22semidirect
140. #1973C22semidirect
142. #1972C22semidirect
144. #1968C22semidirect
146. #1944C22semidirect
147. #1940C22semidirect
148. #1936C22semidirect
149. #1935C22semidirect
151. #1934C22semidirect
152. #1928C22semidirect
154. #1926C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1924C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
165. #1923C22semidirect
166. #1921C22semidirect
167. #1921C22semidirect
168. #1917C22semidirect
169. #1916C22semidirect
171. #1895C22semidirect
173. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1875C22semidirect
181. #1872C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
187. #1854C22semidirect
188. #1853C22semidirect
189. #1851C22semidirect
190. #1823C22semidirect
191. #1797C22semidirect
195. #1776C22semidirect
196. #1771C22semidirect
198. #1762C22semidirect
199. C4×#102C22semidirect
200. C4×#102C22semidirect
201. #1753C22semidirect
202. C4×C22⋊C8C22semidirect
804. #102#41semidirect

Maximal subgroups

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

subgroupindex
#596272
#590952
#321202
#317902
#311772
#307522
#307252
#305472
#305392
#289142
#281142
#272272
#270222
#268082
#268022
#267362
#266972
#266192
#265852
#262582
#257632
#252882
#250932
#241542
#240442
#235672
#232312
#228802
#223692
#220432