Finite Group Databasebeta

← #7029140

Subgroups — #7029140

Order 512.

2089 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59808C211yesmaximal, characteristic, complemented
2#59040C211yesmaximal, characteristic, complemented
3#32032C211yesmaximal, characteristic, complemented
4#31798C211yesmaximal, characteristic, complemented
5#31040C211yesmaximal, characteristic, complemented
6#30899C211yesmaximal, characteristic, complemented
7#30755C211yesmaximal, characteristic, complemented
8#30705C211yesmaximal, characteristic, complemented
9#30501C211yesmaximal, characteristic, complemented
10#30500C211yesmaximal, characteristic, complemented
11#29409C211yesmaximal, characteristic, complemented
12#28933C211yesmaximal, characteristic, complemented
13#27015C211yesmaximal, characteristic, complemented
14#26944C211yesmaximal, characteristic, complemented
15#26741C211yesmaximal, characteristic, complemented
16#26705C211yesmaximal, characteristic, complemented
17#26644C211yesmaximal, characteristic, complemented
18#25763C211yesmaximal, characteristic, complemented
19#25577C211yesmaximal, characteristic, complemented
20#25533C211yesmaximal, characteristic, complemented
21#25531C211yesmaximal, characteristic, complemented
22#25422C211yesmaximal, characteristic, complemented
23#25164C211yesmaximal, characteristic, complemented
24#24432C211yesmaximal, characteristic, complemented
25#23960C211yesmaximal, characteristic, complemented
26#23933C211yesmaximal, characteristic, complemented
27#23574C211yesmaximal, characteristic, complemented
28#23134C211yesmaximal, characteristic, complemented
29#22854C211yesmaximal, characteristic, complemented
30#22339C211yesmaximal, characteristic, complemented
31#22046C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic, complemented
34C2×#546—21no—
35C2×D42C2211yescharacteristic
36C2×#533C2211yescharacteristic, complemented
37C2×#496C2211yescharacteristic
38C2×#489C2211yescharacteristic, complemented
39C2×#483C2211yescharacteristic, complemented
40C2×#480C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic, complemented
42C2×#465C2211yescharacteristic
43C2×#465C2211yescharacteristic
44C2×#465C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic
46C2×#463C2211yescharacteristic, complemented
47C2×#450C2211yescharacteristic
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#447C2211yescharacteristic
53C2×#440C2211yescharacteristic, complemented
54C2×#440C2211yescharacteristic, complemented
55C22×#102C2211yescharacteristic
56#2694—21no—
57#2694—21no—
58#2681—21no—
59#2678—21no—
60#2547C2211yescharacteristic, complemented
61#2542C2211yescharacteristic, complemented
62#2540C2211yescharacteristic
63#2540C2211yescharacteristic, complemented
64#2538—21no—
65#2534—21no—
66#2491C2211yescharacteristic
67#2486C2211yescharacteristic
68#2472—21no—
69#2471—21no—
70#2471—21no—
71#2464—21no—
72#2452C2211yescharacteristic
73#2445C2211yescharacteristic
74#2428C2211yescharacteristic
75#2426C2211yescharacteristic, complemented
76#2426C2211yescharacteristic, complemented
77#2423—21no—
78#2417C2211yescharacteristic
79#2417C2211yescharacteristic, complemented
80#2416C2211yescharacteristic
81#2408C2211yescharacteristic
82#2408C2211yescharacteristic
83#2407—21no—
84#2405—21no—
85#2404—21no—
86#2365C2211yescharacteristic, complemented
87#2361C2211yescharacteristic
88#2360C2211yescharacteristic, complemented
89#2360C2211yescharacteristic, complemented
90#2341—21no—
91D4×C22⋊C4C2211yescharacteristic
92C4×#121C2211yescharacteristic
93C4×#121C2211yescharacteristic
94C4×#121C2211yescharacteristic, complemented
95C2×#390C2211yescharacteristic
96#2088C2211yescharacteristic, complemented
97#2076C2211yescharacteristic, complemented
98#2068C2211yescharacteristic, complemented
99#2067C2211yescharacteristic
100#2058C2211yescharacteristic, complemented
101#2057C2211yescharacteristic, complemented
102#2055C2211yescharacteristic, complemented
103#2043C2211yescharacteristic, complemented
104#2042C2211yescharacteristic, complemented
105#2042C2211yescharacteristic, complemented
106#2041C2211yescharacteristic
107#2036C2211yescharacteristic, complemented
108#2036C2211yescharacteristic, complemented
109#2035C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2024C2211yescharacteristic, complemented
116#2023C2211yescharacteristic
117#2023C2211yescharacteristic, complemented
118#2023C2211yescharacteristic, complemented
119#2014C2211yescharacteristic
120#2013C2211yescharacteristic
121#2013C2211yescharacteristic, complemented
122#2013C2211yescharacteristic, complemented
123#2012C2211yescharacteristic
124#2012C2211yescharacteristic, complemented
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic, complemented
136#1987C2211yescharacteristic, complemented
137#1982C2211yescharacteristic
138#1973C2211yescharacteristic
139#1972C2211yescharacteristic
140#1972C2211yescharacteristic, complemented
141#1955C2211yescharacteristic
142#1955C2211yescharacteristic, complemented
143#1943C2211yescharacteristic, complemented
144#1936C2211yescharacteristic
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1935C2211yescharacteristic, complemented
148#1926C2211yescharacteristic
149#1926C2211yescharacteristic, complemented
150#1926C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1926C2211yescharacteristic, complemented
153#1925C2211yescharacteristic
154#1924C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1919C2211yescharacteristic, complemented
160#1917C2211yescharacteristic, complemented
161#1917C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1892C2211yescharacteristic, complemented
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic, complemented
174#1874C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1869C2211yescharacteristic
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1864C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1852C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1763C2211yescharacteristic, complemented
196#1763C2211yescharacteristic, complemented
197#1762C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199#1752C2211yescharacteristic, complemented
200#1752C2211yescharacteristic, complemented
201#1749C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41—21no—
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219#547—42no—
220#547—42no—
221#547—42no—
222#547—42no—
223#546—48no—
224D42—42no—
225D42—42no—
226#533—42no—
227#533—42no—
228C2×C4⋊Q8C2311yescharacteristic
229C2×C4⋊Q8C2311yescharacteristic
230C2×C4⋊Q8C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#125—21no—
233C2×#124—21no—
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121D411yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×C4×Q8—21no—
269C2×C4×Q8—21no—
270C2×C4×Q8C2311yescharacteristic
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×#117—21no—
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C22⋊C4—21no—
288C22×C22⋊C4—21no—
289C22×C22⋊C4—21no—
290C22×C42C2311yescharacteristic
291#496—42no—
292#489—42no—
293#483—42no—
294#480—42no—
295#466—42no—
296#465—24no—
297#465—42no—
298#465—42no—
299#463—42no—
300#463—42no—
301#450—24no—
302#450—42no—
303#450—42no—
304#450—42no—
305#447—24no—
306#447—42no—
307#440—42no—
308#440—42no—
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#106C2311yescharacteristic
313C2×#106C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#102—42no—
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×#97C2311yescharacteristic
363#399—21no—
364#399—21no—
365#399—21no—
366#399—21no—
367#398—21no—
368#398—21no—
369#398—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#396—21no—
374#396—21no—
375#396—21no—
376#396—21no—
377#396—21no—
378#396—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#393—21no—
389#393—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#391—21no—
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390D411yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#389—21no—
417#389—21no—
418#389D411yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388D411yescharacteristic
432#388D411yescharacteristic
433#387—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386D411yescharacteristic
448#386D411yescharacteristic
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#384—21no—
454#381—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380D411yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#379—21no—
465#379—21no—
466#379—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506C25—21no—
507C25—21no—
508C2×#41—44no—
509C2×#41—44no—
510C2×#41—44no—
511C2×#41—44no—
512C2×#41—82no—
513C2×#41—82no—
514C22×Q8—21no—
515C22×Q8—21no—
516C22×Q8C2411yescharacteristic
517C22×Q8C2411yescharacteristic
518C22×D4—21no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—44no—
543C22×D4—44no—
544C22×D4—82no—
545C22×D4C2×D411yescharacteristic
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4C2×D411yescharacteristic
561C23×C4C2×D411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C22×C8—22no—
593C22×C8—41no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C4⋊Q8—22no—
607C4⋊Q8—22no—
608C4⋊Q8—22no—
609C4⋊Q8—41no—
610C4⋊Q8—41no—
611C4⋊Q8—41no—
612#127—22no—
613#127—41no—
614#125—44no—
615#124—41no—
616#124—41no—
617#124—41no—
618#124—41no—
619#124—44no—
620#123—44no—
621#123—44no—
622#123—44no—
623#123—44no—
624#123—44no—
625#123—44no—
626C22⋊Q8—22no—
627C22⋊Q8—22no—
628C22⋊Q8—22no—
629C22⋊Q8—22no—
630C22⋊Q8—44no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635C22⋊Q8—44no—
636C22⋊Q8—44no—
637C22⋊Q8—44no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642#121—24no—
643#121—22no—
644#121—22no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—44no—
652#121—44no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—44no—
660#121—41no—
661#121—41no—
662#120—44no—
663#120—44no—
664#120—44no—
665#120—44no—
666C4×Q8—22no—
667C4×Q8—22no—
668C4×Q8—41no—
669C4×Q8—41no—
670C4×Q8—44no—
671C4×Q8—82no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—44no—
687C4×D4—44no—
688C4×D4—82no—
689#117—44no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—22no—
692C2×C4⋊C4—22no—
693C2×C4⋊C4—22no—
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—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
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—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—44no—
778C2×C22⋊C4—44no—
779C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—21no—
796C2×C42—41no—
797C2×C42—41no—
798C2×C42C2×D411yescharacteristic
799C2×C42C2×D411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804#107—22no—
805#107—22no—
806#107—41no—
807#106—22no—
808#106—22no—
809#106—41no—
810#106—41no—
811C4⋊C8—41no—
812C4⋊C8—41no—
813#103—22no—
814#103—22no—
815#103—22no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102#4114yescomplemented
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853#97—41no—
854#97—41no—
855#97—41no—
856#97—41no—
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#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—42no—
886C24—42no—
887C24—42no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24C22×D411yescharacteristic
900C24C22×D411yescharacteristic
901C24C22×D411yescharacteristic
902#41—816no—
903#41—816no—
904C2×Q8—24no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—42no—
918C2×Q8—42no—
919C2×Q8—42no—
920C2×Q8—42no—
921C2×Q8—81no—
922C2×D4—24no—
923C2×D4—22no—
924C2×D4—22no—
925C2×D4—22no—
926C2×D4—22no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—44no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—82no—
987C2×D4—82no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—816no—
997C2×D4AGL(1,ℤ/8)14yes—
998C2×D4C2×#4112yes—
999C2×D4H(5,𝔽2)12yes—
1000C22×C4—22no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
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—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—22no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C2511yescharacteristic
1072SD16—44no—
1073SD16—44no—
1074SD16—82no—
1075SD16—82no—
1076SD16—82no—
1077SD16—82no—
1078D8—82no—
1079D8—82no—
1080D8—82no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—82no—
1105C2×C8—82no—
1106C2×C8C2×#4112yes—
1107C4⋊C4—24no—
1108C4⋊C4—22no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4C2×#4112yes—
1151C4⋊C4H(5,𝔽2)12yes—
1152C4⋊C4H(5,𝔽2)12yes—
1153C4⋊C4H(5,𝔽2)12yes—
1154C22⋊C4—24no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—21no—
1212C42—21no—
1213C42—21no—
1214C42—41no—
1215C42—41no—
1216C42—42no—
1217C42—42no—
1218C42—42no—
1219C42—42no—
1220C42—81no—
1221C42—81no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—22no—
1241C23—22no—
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—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—84no—
1269C23—84no—
1270C23—84no—
1271C23—84no—
1272C23—84no—
1273C23—84no—
1274C23—84no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23C2×AGL(1,ℤ/8)12yes—
1283C23C2×AGL(1,ℤ/8)12yes—
1284C23#57712yes—
1285C23C23×D411yescharacteristic
1286Q8—48no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—41no—
1293Q8—41no—
1294Q8—41no—
1295Q8—84no—
1296D4—22no—
1297D4—22no—
1298D4—22no—
1299D4—22no—
1300D4—44no—
1301D4—44no—
1302D4—44no—
1303D4—48no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—84no—
1317D4—84no—
1318D4—84no—
1319D4—84no—
1320D4—84no—
1321D4—84no—
1322D4—84no—
1323D4—84no—
1324D4—84no—
1325D4—162no—
1326D4—162no—
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—22no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—21no—
1351C2×C4—22no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—44no—
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—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—82no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—84no—
1412C2×C4—84no—
1413C2×C4—84no—
1414C2×C4—84no—
1415C2×C4—84no—
1416C2×C4—162no—
1417C2×C4C2×AGL(1,ℤ/8)12yes—
1418C2×C4C22×#4111yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4C2×H(5,𝔽2)11yescharacteristic
1422C2×C4C2×H(5,𝔽2)11yescharacteristic
1423C2×C4#58511yescharacteristic
1424C8—22no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C8—41no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—168no—
1482C22—168no—
1483C22D4×#4111yescharacteristic
1484C22#348411yescharacteristic
1485C22#348411yescharacteristic
1486C22C22×AGL(1,ℤ/8)11yescharacteristic
1487C22C2×#57711yescharacteristic
1488C22#358511yescharacteristic
1489C22#358611yescharacteristic
1490C4—22no—
1491C4—42no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—42no—
1497C4—42no—
1498C4—41no—
1499C4—41no—
1500C4—42no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4#350811yescharacteristic
1514C4#351911yescharacteristic
1515C4#354211yescharacteristic
1516C4#354611yescharacteristic
1517C2—42no—
1518C2—42no—
1519C2—42no—
1520C2—82no—
1521C2—82no—
1522C2—161no—
1523C2—161no—
1524C2#4311311yescharacteristic
1525C2#6145211yescharacteristic
1526C2#6152211yescharacteristic
1527C2#6156911yescharacteristic
1528C2#6160011yescharacteristic
1529C2#6161111yescharacteristic
1530C2#6167711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59808C2semidirect
2. #59040C2semidirect
3. #32032C2semidirect
4. #31798C2semidirect
5. #31040C2semidirect
6. #30899C2semidirect
7. #30755C2semidirect
8. #30705C2semidirect
9. #30501C2semidirect
10. #30500C2semidirect
11. #29409C2semidirect
12. #28933C2semidirect
13. #27015C2semidirect
14. #26944C2semidirect
15. #26741C2semidirect
16. #26705C2semidirect
17. #26644C2semidirect
18. #25763C2semidirect
19. #25577C2semidirect
20. #25533C2semidirect
21. #25531C2semidirect
22. #25422C2semidirect
23. #25164C2semidirect
24. #24432C2semidirect
25. #23960C2semidirect
26. #23933C2semidirect
27. #23574C2semidirect
28. #23134C2semidirect
29. #22854C2semidirect
30. #22339C2semidirect
31. #22046C2semidirect
33. C2×#547C22semidirect
36. C2×#533C22semidirect
38. C2×#489C22semidirect
39. C2×#483C22semidirect
40. C2×#480C22semidirect
41. C2×#466C22semidirect
44. C2×#465C22semidirect
46. C2×#463C22semidirect
53. C2×#440C22semidirect
54. C2×#440C22semidirect
60. #2547C22semidirect
61. #2542C22semidirect
63. #2540C22semidirect
75. #2426C22semidirect
76. #2426C22semidirect
79. #2417C22semidirect
86. #2365C22semidirect
88. #2360C22semidirect
89. #2360C22semidirect
94. C4×#121C22semidirect
96. #2088C22semidirect
97. #2076C22semidirect
98. #2068C22semidirect
100. #2058C22semidirect
101. #2057C22semidirect
102. #2055C22semidirect
103. #2043C22semidirect
104. #2042C22semidirect
105. #2042C22semidirect
107. #2036C22semidirect
108. #2036C22semidirect
109. #2035C22semidirect
110. #2035C22semidirect
111. #2035C22semidirect
113. #2034C22semidirect
114. #2033C22semidirect
115. #2024C22semidirect
117. #2023C22semidirect
118. #2023C22semidirect
121. #2013C22semidirect
122. #2013C22semidirect
124. #2012C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
135. #1999C22semidirect
136. #1987C22semidirect
140. #1972C22semidirect
142. #1955C22semidirect
143. #1943C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1935C22semidirect
149. #1926C22semidirect
150. #1926C22semidirect
151. #1926C22semidirect
152. #1926C22semidirect
154. #1924C22semidirect
155. #1924C22semidirect
156. #1921C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
159. #1919C22semidirect
160. #1917C22semidirect
161. #1917C22semidirect
162. #1893C22semidirect
163. #1892C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
173. #1877C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1874C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1869C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1853C22semidirect
191. #1852C22semidirect
192. #1823C22semidirect
193. #1817C22semidirect
195. #1763C22semidirect
196. #1763C22semidirect
198. #1762C22semidirect
199. #1752C22semidirect
200. #1752C22semidirect
201. #1749C22semidirect
202. C2×#340C22semidirect
842. #102#41semidirect

Maximal subgroups

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

subgroupindex
#598082
#590402
#320322
#317982
#310402
#308992
#307552
#307052
#305012
#305002
#294092
#289332
#270152
#269442
#267412
#267052
#266442
#257632
#255772
#255332
#255312
#254222
#251642
#244322
#239602
#239332
#235742
#231342
#228542
#223392
#220462