Finite Group Databasebeta

← #7055107

Subgroups — #7055107

Order 512.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59022C211yesmaximal, characteristic, complemented
2#39120C211yesmaximal, characteristic, complemented
3#32119C211yesmaximal, characteristic, complemented
4#32046C211yesmaximal, characteristic, complemented
5#31864C211yesmaximal, characteristic, complemented
6#31718C211yesmaximal, characteristic, complemented
7#31386C211yesmaximal, characteristic, complemented
8#30729C211yesmaximal, characteristic, complemented
9#30708C211yesmaximal, characteristic, complemented
10#30602C211yesmaximal, characteristic, complemented
11#28981C211yesmaximal, characteristic, complemented
12#28912C211yesmaximal, characteristic, complemented
13#28557C211yesmaximal, characteristic, complemented
14#27271C211yesmaximal, characteristic, complemented
15#26933C211yesmaximal, characteristic, complemented
16#26741C211yesmaximal, characteristic, complemented
17#26018C211yesmaximal, characteristic, complemented
18#25576C211yesmaximal, characteristic, complemented
19#25560C211yesmaximal, characteristic, complemented
20#25399C211yesmaximal, characteristic, complemented
21#24890C211yesmaximal, characteristic, complemented
22#24559C211yesmaximal, characteristic, complemented
23#24383C211yesmaximal, characteristic, complemented
24#24371C211yesmaximal, characteristic, complemented
25#24277C211yesmaximal, characteristic, complemented
26#23981C211yesmaximal, characteristic, complemented
27#23391C211yesmaximal, characteristic, complemented
28#22848C211yesmaximal, characteristic, complemented
29#22579C211yesmaximal, characteristic, complemented
30#22502C211yesmaximal, characteristic, complemented
31#21758C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#554C2211yescharacteristic
34C2×#552C2211yescharacteristic, complemented
35C2×#525C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C2×#488C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#483C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic, complemented
41C2×#468C2211yescharacteristic, complemented
42C2×#467C2211yescharacteristic, complemented
43C2×#465C2211yescharacteristic, complemented
44C2×#464C2211yescharacteristic, complemented
45C2×#464C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic
47C2×#436C2211yescharacteristic
48C2×#435C2211yescharacteristic, complemented
49C2×#417C2211yescharacteristic
50C2×#418C2211yescharacteristic
51C2×#407C2211yescharacteristic
52C22×C22⋊C8C2211yescharacteristic
53#2848C2211yescharacteristic
54#2711—21no—
55#2711—21no—
56#2705—21no—
57#2694—21no—
58#2676—21no—
59#2676—21no—
60#2626—21no—
61#2540C2211yescharacteristic
62#2540C2211yescharacteristic
63#2539—21no—
64#2538C2211yescharacteristic, complemented
65#2501C2211yescharacteristic, complemented
66#2491C2211yescharacteristic
67#2491C2211yescharacteristic
68#2490C2211yescharacteristic, complemented
69#2467—21no—
70#2454—21no—
71#2441C2211yescharacteristic
72#2435—21no—
73#2435C2211yescharacteristic
74#2426C2211yescharacteristic
75#2426C2211yescharacteristic
76#2425—21no—
77#2423C2211yescharacteristic, complemented
78#2416C2211yescharacteristic
79#2416C2211yescharacteristic
80#2416C2211yescharacteristic, complemented
81#2414C2211yescharacteristic, complemented
82#2411—21no—
83#2408—21no—
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2360C2211yescharacteristic, complemented
87#2359—21no—
88#2354C2211yescharacteristic
89#2345C2211yescharacteristic
90#2341C2211yescharacteristic
91#2321—21no—
92C4×#120C2211yescharacteristic
93C2×#380C2211yescharacteristic
94#2100C2211yescharacteristic, complemented
95#2093C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2086C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2059C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2054C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2036C2211yescharacteristic, complemented
110#2036C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2025C2211yescharacteristic, complemented
116#2024C2211yescharacteristic, complemented
117#2023C2211yescharacteristic, complemented
118#2012C2211yescharacteristic, complemented
119#2012C2211yescharacteristic, complemented
120#2001C2211yescharacteristic, complemented
121#2001C2211yescharacteristic, complemented
122#2000C2211yescharacteristic
123#2000C2211yescharacteristic
124#2000C2211yescharacteristic
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic, complemented
127#2000C2211yescharacteristic, complemented
128#2000C2211yescharacteristic, complemented
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic, complemented
134#1990C2211yescharacteristic, complemented
135#1989C2211yescharacteristic, complemented
136#1987C2211yescharacteristic, complemented
137#1970C2211yescharacteristic, complemented
138#1968C2211yescharacteristic, complemented
139#1959C2211yescharacteristic, complemented
140#1954C2211yescharacteristic, complemented
141#1947C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1920C2211yescharacteristic, complemented
153#1919C2211yescharacteristic, complemented
154#1894C2211yescharacteristic
155#1894C2211yescharacteristic
156#1894C2211yescharacteristic, complemented
157#1893C2211yescharacteristic
158#1893C2211yescharacteristic
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic, complemented
162#1892C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1880C2211yescharacteristic, complemented
166#1878C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1874C2211yescharacteristic
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic, complemented
173#1873C2211yescharacteristic
174#1873C2211yescharacteristic, complemented
175#1872C2211yescharacteristic, complemented
176#1872C2211yescharacteristic, complemented
177#1870C2211yescharacteristic
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1865C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1854C2211yescharacteristic
183#1852C2211yescharacteristic, complemented
184#1851C2211yescharacteristic
185#1850C2211yescharacteristic, complemented
186#1823C2211yescharacteristic
187#1823C2211yescharacteristic
188#1823C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1809C2211yescharacteristic
191#1809C2211yescharacteristic
192#1803C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1763C2211yescharacteristic, complemented
197C4×#103C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1736C2211yescharacteristic
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#554—24no—
222#554—42no—
223#552—42no—
224#552—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×#126—21no—
227C2×#125—21no—
228C2×#125—21no—
229C2×#125C2311yescharacteristic
230C2×#124—21no—
231C2×#124—21no—
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234#525—42no—
235#525—42no—
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—24no—
255C2×#121—42no—
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120D411yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×Q8C2311yescharacteristic
270C2×C4×Q8C2311yescharacteristic
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117—21no—
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286#488—42no—
287#483—42no—
288#482—42no—
289#469—42no—
290#468—42no—
291#467—42no—
292#465—42no—
293#464—42no—
294#464—42no—
295#452—42no—
296#436—42no—
297#435—42no—
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307#418—42no—
308#417—24no—
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337#407—42no—
338C2×C22⋊C8—42no—
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353#399—21no—
354#399—21no—
355#399—21no—
356#399—21no—
357#399—21no—
358#399—21no—
359#398—21no—
360#397—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#393—21no—
383#393—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#391C2311yescharacteristic
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#389—21no—
410#389—21no—
411#389—21no—
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#387—21no—
426#387—21no—
427#387—21no—
428#387—21no—
429#387—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386D411yescharacteristic
435#386D411yescharacteristic
436#386D411yescharacteristic
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385D411yescharacteristic
443#385D411yescharacteristic
444#385D411yescharacteristic
445#384C2311yescharacteristic
446#384C2311yescharacteristic
447#380—21no—
448#380—21no—
449#380—21no—
450#380—21no—
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#379—21no—
460#379—21no—
461#379—21no—
462#379—21no—
463#379D411yescharacteristic
464C4×C4⋊C4—21no—
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
474C2×#95—21no—
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#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C25C2×D411yescharacteristic
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C22×Q8—21no—
514C22×Q8C2411yescharacteristic
515C22×Q8C2411yescharacteristic
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—21no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—44no—
534C22×D4—82no—
535C22×D4—82no—
536C22×D4C2×D411yescharacteristic
537C22×D4C2×D411yescharacteristic
538C22×D4C2×D411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C23×C4—21no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4C2×D411yescharacteristic
554C23×C4C2×D411yescharacteristic
555C23×C4C2×D411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560AGL(1,ℤ/8)—416no—
561C2×Q16—22no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×D8—22no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×M16—22no—
580C2×M16—22no—
581C2×M16—22no—
582C2×M16—22no—
583C2×M16—41no—
584C2×M16—41no—
585C2×M16—41no—
586C2×M16—41no—
587C2×M16—41no—
588C22×C8—41no—
589C22×C8—41no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8—41no—
593C22×C8—41no—
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C4⋊Q8—22no—
603C4⋊Q8—41no—
604#126—44no—
605#125—22no—
606#125—41no—
607#125—44no—
608#125—44no—
609#124—41no—
610#124—41no—
611#124—41no—
612#124—41no—
613#124—82no—
614#124—82no—
615#123—44no—
616#123—44no—
617#123—44no—
618#123—82no—
619C22⋊Q8—22no—
620C22⋊Q8—22no—
621C22⋊Q8—22no—
622C22⋊Q8—22no—
623C22⋊Q8—22no—
624C22⋊Q8—22no—
625C22⋊Q8—22no—
626C22⋊Q8—44no—
627C22⋊Q8—44no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—44no—
648#121—44no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—41no—
653#121—41no—
654#121—41no—
655#121—82no—
656#121—82no—
657#121—82no—
658#120—42no—
659#120—44no—
660#120—44no—
661C4×Q8—22no—
662C4×Q8—22no—
663C4×Q8—41no—
664C4×Q8—41no—
665C4×Q8—41no—
666C4×Q8—41no—
667C4×D4—22no—
668C4×D4—22no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—44no—
674C4×D4—44no—
675C4×D4—44no—
676#117—22no—
677#117—22no—
678#117—44no—
679#117—41no—
680#117—41no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
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—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4—41no—
711C2×C4⋊C4—41no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4#4114yes—
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—44no—
773C2×C22⋊C4—82no—
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797#107—41no—
798#107—41no—
799#107—41no—
800#106—22no—
801#106—22no—
802#106—41no—
803C4⋊C8—22no—
804C4⋊C8—41no—
805C4⋊C8—41no—
806#103—22no—
807#103—22no—
808#103—22no—
809#103—22no—
810#103—22no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—22no—
837C22⋊C8—22no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845#97—41no—
846C4×C8—41no—
847C4×C8—41no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871C24—22no—
872C24—22no—
873C24—22no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—41no—
878C24—41no—
879C24—41no—
880C24—41no—
881C24—42no—
882C24—42no—
883C24—42no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24C22×D411yescharacteristic
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891C24C22×D411yescharacteristic
892#41—44no—
893#41—44no—
894#41—82no—
895#41—82no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—42no—
908C2×Q8—81no—
909C2×Q8—81no—
910C2×Q8H(5,𝔽2)12yes—
911C2×D4—22no—
912C2×D4—22no—
913C2×D4—22no—
914C2×D4—22no—
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—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—41no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—82no—
959C2×D4—82no—
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—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—816no—
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—22no—
985C22×C4—24no—
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—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—82no—
1029C22×C4—82no—
1030C22×C4—82no—
1031C22×C4—82no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C2×#4112yes—
1050C22×C4H(5,𝔽2)12yes—
1051C22×C4C2511yescharacteristic
1052Q16—82no—
1053SD16—44no—
1054SD16—44no—
1055SD16—82no—
1056D8—44no—
1057D8—44no—
1058M16—44no—
1059M16—82no—
1060M16—82no—
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×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—82no—
1085C2×C8—82no—
1086C2×C8H(5,𝔽2)12yes—
1087C4⋊C4—24no—
1088C4⋊C4—24no—
1089C4⋊C4—22no—
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—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4C2×#4112yes—
1135C4⋊C4C2×#4112yes—
1136C4⋊C4H(5,𝔽2)12yes—
1137C22⋊C4—24no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—42no—
1200C42—42no—
1201C42—42no—
1202C42—42no—
1203C42—81no—
1204C42—81no—
1205C42—81no—
1206C42—81no—
1207C23—28no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—82no—
1255C23—82no—
1256C23—82no—
1257C23—82no—
1258C23—82no—
1259C23—82no—
1260C23—84no—
1261C23—84no—
1262C23—84no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23—162no—
1267C23#54612yes—
1268C23#57612yes—
1269C23#57712yes—
1270C23C23×D411yescharacteristic
1271Q8—22no—
1272Q8—22no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—162no—
1280D4—44no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—84no—
1294D4—82no—
1295D4—82no—
1296D4—84no—
1297D4—84no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—84no—
1302D4—84no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—22no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—22no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—22no—
1325C2×C4—21no—
1326C2×C4—22no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
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—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—82no—
1390C2×C4—82no—
1391C2×C4—84no—
1392C2×C4—82no—
1393C2×C4—84no—
1394C2×C4—84no—
1395C2×C4—162no—
1396C2×C4—162no—
1397C2×C4#54612yes—
1398C2×C4#57512yes—
1399C2×C4C22×#4111yescharacteristic
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4#58511yescharacteristic
1405C8—22no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—88no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—168no—
1464C22C2×#54611yescharacteristic
1465C22#348411yescharacteristic
1466C22#349611yescharacteristic
1467C22C2×#57511yescharacteristic
1468C22C2×#57611yescharacteristic
1469C22C2×#57711yescharacteristic
1470C22#358611yescharacteristic
1471C4—22no—
1472C4—22no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—42no—
1479C4—41no—
1480C4—41no—
1481C4—42no—
1482C4—41no—
1483C4—42no—
1484C4—42no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4#349411yescharacteristic
1495C4#350811yescharacteristic
1496C4#353211yescharacteristic
1497C4#354211yescharacteristic
1498C2—42no—
1499C2—42no—
1500C2—42no—
1501C2—81no—
1502C2—161no—
1503C2—161no—
1504C2—161no—
1505C2#4388711yescharacteristic
1506C2#6115811yescharacteristic
1507C2#6116711yescharacteristic
1508C2#6160511yescharacteristic
1509C2#6162011yescharacteristic
1510C2#6226211yescharacteristic
1511C2#6231111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59022C2semidirect
2. #39120C2semidirect
3. #32119C2semidirect
4. #32046C2semidirect
5. #31864C2semidirect
6. #31718C2semidirect
7. #31386C2semidirect
8. #30729C2semidirect
9. #30708C2semidirect
10. #30602C2semidirect
11. #28981C2semidirect
12. #28912C2semidirect
13. #28557C2semidirect
14. #27271C2semidirect
15. #26933C2semidirect
16. #26741C2semidirect
17. #26018C2semidirect
18. #25576C2semidirect
19. #25560C2semidirect
20. #25399C2semidirect
21. #24890C2semidirect
22. #24559C2semidirect
23. #24383C2semidirect
24. #24371C2semidirect
25. #24277C2semidirect
26. #23981C2semidirect
27. #23391C2semidirect
28. #22848C2semidirect
29. #22579C2semidirect
30. #22502C2semidirect
31. #21758C2semidirect
34. C2×#552C22semidirect
37. C2×#488C22semidirect
38. C2×#482C22semidirect
39. C2×#483C22semidirect
40. C2×#469C22semidirect
41. C2×#468C22semidirect
42. C2×#467C22semidirect
43. C2×#465C22semidirect
44. C2×#464C22semidirect
45. C2×#464C22semidirect
48. C2×#435C22semidirect
64. #2538C22semidirect
65. #2501C22semidirect
68. #2490C22semidirect
77. #2423C22semidirect
80. #2416C22semidirect
81. #2414C22semidirect
86. #2360C22semidirect
94. #2100C22semidirect
95. #2093C22semidirect
96. #2088C22semidirect
97. #2086C22semidirect
98. #2077C22semidirect
99. #2077C22semidirect
100. #2071C22semidirect
101. #2071C22semidirect
102. #2059C22semidirect
103. #2055C22semidirect
104. #2054C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2036C22semidirect
110. #2036C22semidirect
111. #2035C22semidirect
112. #2034C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2025C22semidirect
116. #2024C22semidirect
117. #2023C22semidirect
118. #2012C22semidirect
119. #2012C22semidirect
120. #2001C22semidirect
121. #2001C22semidirect
126. #2000C22semidirect
127. #2000C22semidirect
128. #2000C22semidirect
133. #1999C22semidirect
134. #1990C22semidirect
135. #1989C22semidirect
136. #1987C22semidirect
137. #1970C22semidirect
138. #1968C22semidirect
139. #1959C22semidirect
140. #1954C22semidirect
141. #1947C22semidirect
142. #1936C22semidirect
143. #1936C22semidirect
144. #1934C22semidirect
145. #1934C22semidirect
146. #1926C22semidirect
147. #1926C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1920C22semidirect
153. #1919C22semidirect
156. #1894C22semidirect
161. #1893C22semidirect
162. #1892C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
165. #1880C22semidirect
166. #1878C22semidirect
167. #1875C22semidirect
172. #1874C22semidirect
174. #1873C22semidirect
175. #1872C22semidirect
176. #1872C22semidirect
178. #1870C22semidirect
179. #1869C22semidirect
180. #1865C22semidirect
181. #1863C22semidirect
183. #1852C22semidirect
185. #1850C22semidirect
188. #1823C22semidirect
189. #1823C22semidirect
192. #1803C22semidirect
196. #1763C22semidirect
197. C4×#103C22semidirect
198. C4×#103C22semidirect
200. C8×C22⋊C4C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#590222
#391202
#321192
#320462
#318642
#317182
#313862
#307292
#307082
#306022
#289812
#289122
#285572
#272712
#269332
#267412
#260182
#255762
#255602
#253992
#248902
#245592
#243832
#243712
#242772
#239812
#233912
#228482
#225792
#225022
#217582