Finite Group Databasebeta

← #6503429

Subgroups — #6503429

Order 512.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1495 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35044C211yesmaximal, characteristic, complemented
2#34310C211yesmaximal, characteristic, complemented
3#29552C211yesmaximal, characteristic, complemented
4#29492C211yesmaximal, characteristic, complemented
5#29461C211yesmaximal, characteristic, complemented
6#29432C211yesmaximal, characteristic, complemented
7#28369C211yesmaximal, characteristic, complemented
8#28303C211yesmaximal, characteristic, complemented
9#27504C211yesmaximal, characteristic, complemented
10#27245C211yesmaximal, characteristic, complemented
11#27206C211yesmaximal, characteristic, complemented
12#27080C211yesmaximal, characteristic, complemented
13#26943C211yesmaximal, characteristic, complemented
14#26803C211yesmaximal, characteristic, complemented
15#26600C211yesmaximal, characteristic, complemented
16#26352C211yesmaximal, characteristic, complemented
17#26146C211yesmaximal, characteristic, complemented
18#25966C211yesmaximal, characteristic, complemented
19#25168C211yesmaximal, characteristic, complemented
20#25092C211yesmaximal, characteristic, complemented
21#24883C211yesmaximal, characteristic, complemented
22#24654C211yesmaximal, characteristic, complemented
23#24500C211yesmaximal, characteristic, complemented
24#24440C211yesmaximal, characteristic, complemented
25#24366C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#22045C211yesmaximal, characteristic, complemented
28#22040C211yesmaximal, characteristic, complemented
29#21538C211yesmaximal, characteristic, complemented
30#21236C211yesmaximal, characteristic, complemented
31#21102C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#518—21no—
35C2×#484C2211yescharacteristic, complemented
36C2×#481C2211yescharacteristic, complemented
37C2×#474C2211yescharacteristic, complemented
38C2×#474C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic
40C2×#463C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic, complemented
42C2×#459C2211yescharacteristic, complemented
43C2×#449C2211yescharacteristic
44C2×#450C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#442C2211yescharacteristic, complemented
49C2×#431C2211yescharacteristic, complemented
50C2×#428C2211yescharacteristic, complemented
51C2×#417C2211yescharacteristic, complemented
52C2×#418C2211yescharacteristic
53C2×C4×M16C2211yescharacteristic, complemented
54#2863C2211yescharacteristic, complemented
55#2858C2211yescharacteristic, complemented
56#2854C2211yescharacteristic, complemented
57#2850C2211yescharacteristic, complemented
58#2648—21no—
59#2631—21no—
60#2597—21no—
61#2557—21no—
62#2513C2211yescharacteristic, complemented
63#2492C2211yescharacteristic, complemented
64#2459—21no—
65#2456—21no—
66#2447C2211yescharacteristic, complemented
67#2439C2211yescharacteristic, complemented
68#2431C2211yescharacteristic, complemented
69#2428C2211yescharacteristic, complemented
70#2414C2211yescharacteristic
71#2407C2211yescharacteristic
72#2366C2211yescharacteristic
73#2363—21no—
74#2361C2211yescharacteristic
75#2361C2211yescharacteristic
76#2358—21no—
77#2358—21no—
78#2354C2211yescharacteristic
79D4×C4⋊C4C2211yescharacteristic
80D4×C22⋊C4—21no—
81D4×C22⋊C4C2211yescharacteristic
82D4×C22⋊C4C2211yescharacteristic
83#2337—21no—
84#2333—21no—
85#2324—21no—
86#2321—21no—
87#2321—21no—
88C4×#127C2211yescharacteristic
89C4×#121C2211yescharacteristic
90C4×#121C2211yescharacteristic
91C4×#121C2211yescharacteristic, complemented
92#2297C2211yescharacteristic, complemented
93#2293C2211yescharacteristic
94C2×#390C2211yescharacteristic
95C2×#390C2211yescharacteristic
96C42×D4C2211yescharacteristic
97#2093C2211yescharacteristic, complemented
98#2093C2211yescharacteristic, complemented
99#2092C2211yescharacteristic
100#2092C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2084C2211yescharacteristic, complemented
103#2076C2211yescharacteristic, complemented
104#2072C2211yescharacteristic, complemented
105#2067C2211yescharacteristic
106#2067C2211yescharacteristic, complemented
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2057C2211yescharacteristic, complemented
110#2055C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic, complemented
113#2041C2211yescharacteristic
114#2041C2211yescharacteristic, complemented
115#2036C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2023C2211yescharacteristic
120#2014C2211yescharacteristic
121#2012C2211yescharacteristic
122#2012C2211yescharacteristic, complemented
123#2011C2211yescharacteristic
124#2011C2211yescharacteristic
125#2011C2211yescharacteristic
126#2000C2211yescharacteristic
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1983C2211yescharacteristic, complemented
130#1973C2211yescharacteristic
131#1973C2211yescharacteristic, complemented
132#1972C2211yescharacteristic
133#1972C2211yescharacteristic, complemented
134#1970C2211yescharacteristic
135#1970C2211yescharacteristic
136#1970C2211yescharacteristic, complemented
137#1970C2211yescharacteristic, complemented
138#1970C2211yescharacteristic, complemented
139#1970C2211yescharacteristic, complemented
140#1968C2211yescharacteristic
141#1968C2211yescharacteristic, complemented
142#1968C2211yescharacteristic, complemented
143#1949C2211yescharacteristic, complemented
144#1941C2211yescharacteristic, complemented
145#1934C2211yescharacteristic
146#1934C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1934C2211yescharacteristic, complemented
149#1934C2211yescharacteristic, complemented
150#1933C2211yescharacteristic, complemented
151#1928C2211yescharacteristic, complemented
152#1927C2211yescharacteristic, complemented
153#1926C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1925C2211yescharacteristic
156#1925C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1921C2211yescharacteristic, complemented
162#1920C2211yescharacteristic, complemented
163#1917C2211yescharacteristic, complemented
164#1917C2211yescharacteristic, complemented
165#1895C2211yescharacteristic
166#1895C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1875C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic
182#1864C2211yescharacteristic
183#1864C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1852C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1776C2211yescharacteristic, complemented
197C4×C4⋊C8C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×C22⋊C8C2211yescharacteristic, complemented
201C4×C22⋊C8C2211yescharacteristic, complemented
202#1744C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221D42—24no—
222D42—24no—
223C2×C4⋊Q8C2311yescharacteristic
224C2×#127C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#124—21no—
227C2×#124—21no—
228C2×#124C2311yescharacteristic
229C2×#123—21no—
230C2×C22⋊Q8C2311yescharacteristic
231C2×#121—21no—
232C2×#121—21no—
233C2×#121C2311yescharacteristic
234C2×#121C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#120—21no—
239C2×#120—21no—
240#518—48no—
241C2×C4×D4—21no—
242C2×C4×D4—21no—
243C2×C4×D4—21no—
244C2×C4×D4—21no—
245C2×C4×D4—21no—
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4—21no—
249C2×C4×D4—21no—
250C2×C4×D4D411yescharacteristic
251C2×C4×D4D411yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×#117—21no—
260C2×#117—21no—
261C2×#117C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C22⋊C4—21no—
265C22×C22⋊C4—21no—
266C22×C22⋊C4—21no—
267C22×C22⋊C4—21no—
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272#484—42no—
273#481—42no—
274#474—42no—
275#474—42no—
276#469—24no—
277#463—42no—
278#459—42no—
279#459—42no—
280#450—42no—
281#449—24no—
282#447—24no—
283#447—42no—
284#447—42no—
285#442—42no—
286#431—42no—
287#428—42no—
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#418—42no—
304#417—42no—
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C4×M16—42no—
342C2×#97C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348#400—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#396—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#393—21no—
358#393—21no—
359#392—21no—
360#392—21no—
361#392—21no—
362#392—21no—
363#392—21no—
364#391—21no—
365#391—21no—
366#391C2311yescharacteristic
367#391C2311yescharacteristic
368#391C2311yescharacteristic
369#391C2311yescharacteristic
370#390—21no—
371#390—21no—
372#390—21no—
373#390—21no—
374#390—21no—
375#390—21no—
376#390—21no—
377#390—21no—
378#390—21no—
379#390—21no—
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#389—21no—
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
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#387—21no—
419#387—21no—
420#387—21no—
421#387—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
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#386—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#384C2311yescharacteristic
449#383—21no—
450#382C2311yescharacteristic
451#381—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#379—21no—
458#379—21no—
459C4×C4⋊C4D411yescharacteristic
460C4×C4⋊C4D411yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C22⋊C4—21no—
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4D411yescharacteristic
473C4×C22⋊C4D411yescharacteristic
474C4×C22⋊C4D411yescharacteristic
475C4×C22⋊C4D411yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C43C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25—21no—
504C25—21no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C22×Q8—21no—
512C22×Q8C2411yescharacteristic
513C22×D4—28no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—22no—
517C22×D4—22no—
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—21no—
527C22×D4—21no—
528C22×D4—22no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—44no—
538C22×D4—44no—
539C22×D4C2×D411yescharacteristic
540C22×D4#4114yes—
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561AGL(1,ℤ/8)—416no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×M16—22no—
590C2×M16—22no—
591C2×M16—22no—
592C2×M16—22no—
593C2×M16—22no—
594C2×M16—41no—
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C4⋊Q8—41no—
604C4⋊Q8—41no—
605#127—22no—
606#127—22no—
607#127—41no—
608#127—41no—
609#124—41no—
610#124—41no—
611#124—44no—
612#124—82no—
613#123—82no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616#121—28no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—44no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121#4114yes—
628#120—28no—
629#120—28no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—22no—
633C4×D4—22no—
634C4×D4—24no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—42no—
646C4×D4—44no—
647C4×D4—44no—
648C4×D4—44no—
649C4×D4—44no—
650C4×D4—44no—
651C4×D4—44no—
652C4×D4—44no—
653C4×D4—82no—
654C4×D4—82no—
655#117—44no—
656#117—44no—
657#117—41no—
658#117—41no—
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—41no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
689C2×C22⋊C4—21no—
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—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—44no—
736C2×C22⋊C4—44no—
737C2×C22⋊C4—44no—
738C2×C22⋊C4—44no—
739C2×C22⋊C4—82no—
740C2×C22⋊C4—82no—
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—41no—
753C2×C42—41no—
754C2×C42—41no—
755C2×C42—41no—
756C2×C42C2×D411yescharacteristic
757C2×C42C2×D411yescharacteristic
758C2×C42C2×D411yescharacteristic
759C2×C42C2×D411yescharacteristic
760C2×C42C2×D411yescharacteristic
761C2×C42C2×D411yescharacteristic
762C2×C42C2×D411yescharacteristic
763C2×C42C2×D411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769#107—22no—
770#107—22no—
771#107—41no—
772#107—41no—
773#107—41no—
774#107—41no—
775#106—22no—
776#106—22no—
777#106—41no—
778#106—41no—
779#106—41no—
780C4⋊C8—22no—
781C4⋊C8—22no—
782C4⋊C8—22no—
783C4⋊C8—41no—
784#103—22no—
785#103—22no—
786#103—41no—
787#103—41no—
788#103—41no—
789#102—22no—
790#102—22no—
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—41no—
802#102—41no—
803#102—41no—
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—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—41no—
820#97—22no—
821#97—41no—
822C4×C8—22no—
823C4×C8—41no—
824C4×C8—41no—
825C4×C8—41no—
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#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#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856C24—24no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—24no—
861C24—21no—
862C24—21no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—42no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—44no—
879#41—82no—
880#41—82no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—42no—
888C2×Q8—81no—
889C2×Q8—81no—
890C2×D4—22no—
891C2×D4—22no—
892C2×D4—24no—
893C2×D4—24no—
894C2×D4—24no—
895C2×D4—24no—
896C2×D4—24no—
897C2×D4—24no—
898C2×D4—22no—
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—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—44no—
927C2×D4—44no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—432no—
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—42no—
940C2×D4—42no—
941C2×D4—82no—
942C2×D4—82no—
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—82no—
954C2×D4—82no—
955C2×D4—82no—
956C2×D4—82no—
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×D4C2×#4112yes—
966C2×D4C2×#4112yes—
967C2×D4C2×#4112yes—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—24no—
973C22×C4—22no—
974C22×C4—21no—
975C22×C4—22no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
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—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C2×#4112yes—
1041C22×C4C2×#4112yes—
1042C22×C4C2511yescharacteristic
1043SD16—44no—
1044SD16—44no—
1045SD16—82no—
1046D8—44no—
1047D8—44no—
1048D8—44no—
1049D8—82no—
1050D8—82no—
1051D8—82no—
1052M16—28no—
1053M16—44no—
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×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8H(5,𝔽2)12yes—
1076C2×C8H(5,𝔽2)12yes—
1077C2×C8H(5,𝔽2)12yes—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—41no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4C2×#4112yes—
1113C22⋊C4—24no—
1114C22⋊C4—24no—
1115C22⋊C4—22no—
1116C22⋊C4—22no—
1117C22⋊C4—24no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—41no—
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—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
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—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C42—22no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—41no—
1178C42—41no—
1179C42—41no—
1180C42—41no—
1181C42—41no—
1182C42—41no—
1183C42—42no—
1184C42—42no—
1185C42—42no—
1186C42—81no—
1187C42—81no—
1188C42AGL(1,ℤ/8)14yescomplemented
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—48no—
1205C23—48no—
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—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—84no—
1239C23—84no—
1240C23—84no—
1241C23—84no—
1242C23—162no—
1243C23—162no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23#52512yes—
1251C23#57512yes—
1252C23C23×D411yescharacteristic
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—162no—
1258D4—28no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—22no—
1263D4—22no—
1264D4—22no—
1265D4—48no—
1266D4—48no—
1267D4—48no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—84no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—22no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—44no—
1328C2×C4—48no—
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—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4—82no—
1368C2×C4—84no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4—162no—
1373C2×C4—162no—
1374C2×C4—162no—
1375C2×C4—162no—
1376C2×C4#52512yes—
1377C2×C4C2×AGL(1,ℤ/8)12yes—
1378C2×C4C2×AGL(1,ℤ/8)12yes—
1379C2×C4C2×AGL(1,ℤ/8)12yes—
1380C2×C4#57612yes—
1381C2×C4C22×#4111yescharacteristic
1382C2×C4C22×#4111yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4#58511yescharacteristic
1387C8—22no—
1388C8—22no—
1389C8—22no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—168no—
1445C22—168no—
1446C22C2×#52511yescharacteristic
1447C22#349611yescharacteristic
1448C22#349811yescharacteristic
1449C22C22×AGL(1,ℤ/8)11yescharacteristic
1450C22C2×#57511yescharacteristic
1451C22C2×#57611yescharacteristic
1452C22#358411yescharacteristic
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—42no—
1464C4—41no—
1465C4—41no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4#349011yescharacteristic
1477C4#350511yescharacteristic
1478C4#351411yescharacteristic
1479C4#351911yescharacteristic
1480C2—42no—
1481C2—42no—
1482C2—82no—
1483C2—82no—
1484C2—82no—
1485C2—161no—
1486C2—161no—
1487C2#3536111yescharacteristic
1488C2#6055811yescharacteristic
1489C2#6057011yescharacteristic
1490C2#6225711yescharacteristic
1491C2#6225911yescharacteristic
1492C2#6242311yescharacteristic
1493C2#6242811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35044C2semidirect
2. #34310C2semidirect
3. #29552C2semidirect
4. #29492C2semidirect
5. #29461C2semidirect
6. #29432C2semidirect
7. #28369C2semidirect
8. #28303C2semidirect
9. #27504C2semidirect
10. #27245C2semidirect
11. #27206C2semidirect
12. #27080C2semidirect
13. #26943C2semidirect
14. #26803C2semidirect
15. #26600C2semidirect
16. #26352C2semidirect
17. #26146C2semidirect
18. #25966C2semidirect
19. #25168C2semidirect
20. #25092C2semidirect
21. #24883C2semidirect
22. #24654C2semidirect
23. #24500C2semidirect
24. #24440C2semidirect
25. #24366C2semidirect
26. #23860C2semidirect
27. #22045C2semidirect
28. #22040C2semidirect
29. #21538C2semidirect
30. #21236C2semidirect
31. #21102C2semidirect
35. C2×#484C22semidirect
36. C2×#481C22semidirect
37. C2×#474C22semidirect
38. C2×#474C22semidirect
40. C2×#463C22semidirect
41. C2×#459C22semidirect
42. C2×#459C22semidirect
48. C2×#442C22semidirect
49. C2×#431C22semidirect
50. C2×#428C22semidirect
51. C2×#417C22semidirect
53. C2×C4×M16C22semidirect
54. #2863C22semidirect
55. #2858C22semidirect
56. #2854C22semidirect
57. #2850C22semidirect
62. #2513C22semidirect
63. #2492C22semidirect
66. #2447C22semidirect
67. #2439C22semidirect
68. #2431C22semidirect
69. #2428C22semidirect
91. C4×#121C22semidirect
92. #2297C22semidirect
97. #2093C22semidirect
98. #2093C22semidirect
100. #2092C22semidirect
101. #2088C22semidirect
102. #2084C22semidirect
103. #2076C22semidirect
104. #2072C22semidirect
106. #2067C22semidirect
107. #2066C22semidirect
109. #2057C22semidirect
112. #2054C22semidirect
114. #2041C22semidirect
115. #2036C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
122. #2012C22semidirect
129. #1983C22semidirect
131. #1973C22semidirect
133. #1972C22semidirect
136. #1970C22semidirect
137. #1970C22semidirect
138. #1970C22semidirect
139. #1970C22semidirect
141. #1968C22semidirect
142. #1968C22semidirect
143. #1949C22semidirect
144. #1941C22semidirect
146. #1934C22semidirect
147. #1934C22semidirect
148. #1934C22semidirect
149. #1934C22semidirect
150. #1933C22semidirect
151. #1928C22semidirect
152. #1927C22semidirect
153. #1926C22semidirect
154. #1926C22semidirect
156. #1925C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1921C22semidirect
162. #1920C22semidirect
163. #1917C22semidirect
164. #1917C22semidirect
166. #1895C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
183. #1864C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1854C22semidirect
187. #1852C22semidirect
188. #1852C22semidirect
189. #1851C22semidirect
190. #1851C22semidirect
191. #1809C22semidirect
192. #1804C22semidirect
193. #1788C22semidirect
196. #1776C22semidirect
197. C4×C4⋊C8C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. C4×C22⋊C8C22semidirect
201. C4×C22⋊C8C22semidirect
202. #1744C22semidirect
1188. C42AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
#350442
#343102
#295522
#294922
#294612
#294322
#283692
#283032
#275042
#272452
#272062
#270802
#269432
#268032
#266002
#263522
#261462
#259662
#251682
#250922
#248832
#246542
#245002
#244402
#243662
#238602
#220452
#220402
#215382
#212362
#211022