Finite Group Databasebeta

← #7304957

Subgroups — #7304957

Order 512.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1535 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59131C211yesmaximal, characteristic, complemented
2#39537C211yesmaximal, characteristic, complemented
3#32170C211yesmaximal, characteristic, complemented
4#32041C211yesmaximal, characteristic, complemented
5#31517C211yesmaximal, characteristic, complemented
6#31294C211yesmaximal, characteristic, complemented
7#31277C211yesmaximal, characteristic, complemented
8#31067C211yesmaximal, characteristic, complemented
9#31028C211yesmaximal, characteristic, complemented
10#30915C211yesmaximal, characteristic, complemented
11#30891C211yesmaximal, characteristic, complemented
12#30541C211yesmaximal, characteristic, complemented
13#30502C211yesmaximal, characteristic, complemented
14#30400C211yesmaximal, characteristic, complemented
15#30016C211yesmaximal, characteristic, complemented
16#29626C211yesmaximal, characteristic, complemented
17#29412C211yesmaximal, characteristic, complemented
18#27087C211yesmaximal, characteristic, complemented
19#26955C211yesmaximal, characteristic, complemented
20#26900C211yesmaximal, characteristic, complemented
21#25891C211yesmaximal, characteristic, complemented
22#25158C211yesmaximal, characteristic, complemented
23#25087C211yesmaximal, characteristic, complemented
24#24433C211yesmaximal, characteristic, complemented
25#24373C211yesmaximal, characteristic, complemented
26#24244C211yesmaximal, characteristic, complemented
27#24215C211yesmaximal, characteristic, complemented
28#24037C211yesmaximal, characteristic, complemented
29#23863C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23331C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C2×#490C2211yescharacteristic
38C2×#482C2211yescharacteristic
39C2×#478C2211yescharacteristic
40C2×#467C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic
43C2×#463C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic, complemented
45C2×#452C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#452C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic, complemented
50C2×#451C2211yescharacteristic, complemented
51C2×#448C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×C4×SD16C2211yescharacteristic, complemented
55C2×#416C2211yescharacteristic, complemented
56#2855C2211yescharacteristic, complemented
57#2797—21no—
58#2778—21no—
59#2771—21no—
60#2749—21no—
61#2672—21no—
62#2670—21no—
63#2635—21no—
64#2562C2211yescharacteristic
65#2555—21no—
66#2544C2211yescharacteristic
67#2540C2211yescharacteristic
68#2535C2211yescharacteristic, complemented
69#2518—21no—
70#2514C2211yescharacteristic, complemented
71#2510—21no—
72#2495C2211yescharacteristic, complemented
73#2489C2211yescharacteristic, complemented
74#2485C2211yescharacteristic, complemented
75#2472—21no—
76#2454C2211yescharacteristic, complemented
77#2435C2211yescharacteristic
78#2431C2211yescharacteristic
79#2427C2211yescharacteristic
80#2426C2211yescharacteristic
81#2424—21no—
82#2418—21no—
83#2415C2211yescharacteristic, complemented
84#2410—21no—
85#2409C2211yescharacteristic
86#2408C2211yescharacteristic
87#2407C2211yescharacteristic
88#2407C2211yescharacteristic, complemented
89#2367C2211yescharacteristic
90#2363C2211yescharacteristic, complemented
91#2339C2211yescharacteristic, complemented
92D4×C22⋊C4—21no—
93#2318—21no—
94C4×#121C2211yescharacteristic
95C4×#121C2211yescharacteristic
96C4×#121C2211yescharacteristic, complemented
97#2092C2211yescharacteristic
98#2086C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2076C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2066C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2042C2211yescharacteristic
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2036C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2034C2211yescharacteristic
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2026C2211yescharacteristic, complemented
129#2026C2211yescharacteristic, complemented
130#2015C2211yescharacteristic
131#2015C2211yescharacteristic
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1983C2211yescharacteristic
146#1983C2211yescharacteristic, complemented
147#1982C2211yescharacteristic
148#1973C2211yescharacteristic, complemented
149#1971C2211yescharacteristic, complemented
150#1968C2211yescharacteristic, complemented
151#1958C2211yescharacteristic, complemented
152#1955C2211yescharacteristic
153#1954C2211yescharacteristic, complemented
154#1934C2211yescharacteristic
155#1928C2211yescharacteristic, complemented
156#1928C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1926C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1921C2211yescharacteristic, complemented
163#1920C2211yescharacteristic, complemented
164#1919C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1894C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1893C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1817C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1762C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#548—42no—
225#548—42no—
226#546—42no—
227#546—42no—
228D42—42no—
229D42—42no—
230C2×#127C2311yescharacteristic
231C2×#125C2311yescharacteristic
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124—42no—
236C2×#124—42no—
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#123—21no—
243C2×C22⋊Q8—21no—
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×#121D411yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×D4—21no—
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C22×C22⋊C4—21no—
276C22×C22⋊C4—21no—
277C22×C22⋊C4—21no—
278C22×C42C2311yescharacteristic
279#490—42no—
280#482—42no—
281#478—42no—
282#467—42no—
283#466—42no—
284#463—42no—
285#463—42no—
286#463—42no—
287#452—42no—
288#452—42no—
289#452—42no—
290#451—42no—
291#450—42no—
292#449—42no—
293#449—42no—
294#448—42no—
295#447—42no—
296C4×SD16—42no—
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307#416—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×#97C2311yescharacteristic
355C2×C4×C8C2311yescharacteristic
356#401—21no—
357#400—21no—
358#400—21no—
359#400—21no—
360#400—21no—
361#399—21no—
362#399—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#396—21no—
370#396—21no—
371#395—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#394—21no—
383#394—21no—
384#393—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390D411yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389D411yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#388—21no—
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#388—21no—
426#388—21no—
427#388D411yescharacteristic
428#388D411yescharacteristic
429#387—21no—
430#387—21no—
431#387—21no—
432#387—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#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386D411yescharacteristic
449#386D411yescharacteristic
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#383—21no—
457#383—21no—
458#382—21no—
459#382C2311yescharacteristic
460#381—21no—
461#381—21no—
462#380—21no—
463#380—21no—
464#380D411yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#379—21no—
473#379—21no—
474#379—21no—
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C2×#95—21no—
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#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C25—21no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C22×Q8—21no—
523C22×Q8—22no—
524C22×Q8—41no—
525C22×Q8—41no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×D4—21no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—44no—
557C22×D4—44no—
558C22×D4—82no—
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4C2×D411yescharacteristic
574C23×C4C2×D411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578AGL(1,ℤ/8)—416no—
579C2×Q16—22no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×Q16—41no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×D8—22no—
601C2×D8—22no—
602C2×D8—22no—
603C2×D8—22no—
604C2×D8—22no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623#127—22no—
624#127—41no—
625#125—41no—
626#125—41no—
627#124—22no—
628#124—22no—
629#124—22no—
630#124—22no—
631#124—22no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—44no—
638#124—44no—
639#124—44no—
640#123—44no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—44no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—44no—
659#121—44no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—42no—
665#121—44no—
666#121—41no—
667#121—41no—
668#120—44no—
669#120—44no—
670#120—44no—
671#120—82no—
672C4×Q8—22no—
673C4×Q8—41no—
674C4×D4—22no—
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—41no—
687C4×D4—41no—
688C4×D4—44no—
689C4×D4—44no—
690C4×D4—82no—
691#117—41no—
692#117—41no—
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⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊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—44no—
764C2×C22⋊C4—44no—
765C2×C22⋊C4—44no—
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—41no—
782C2×C42—41no—
783C2×C42C2×D411yescharacteristic
784C2×C42C2×D411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789#107—22no—
790#107—41no—
791#107—41no—
792#106—22no—
793#106—41no—
794#106—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—41no—
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—
834#102—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
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—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#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#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#95—21no—
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—42no—
887C24—42no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—42no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24C22×D411yescharacteristic
901C24C22×D411yescharacteristic
902C24C22×D411yescharacteristic
903#41—44no—
904#41—44no—
905#41—82no—
906#41—82no—
907#41—82no—
908#41—82no—
909#41—82no—
910#41—82no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—42no—
929C2×Q8—42no—
930C2×Q8—81no—
931C2×Q8—82no—
932C2×Q8—82no—
933C2×Q8—82no—
934C2×Q8—82no—
935C2×Q8H(5,𝔽2)12yes—
936C2×D4—24no—
937C2×D4—22no—
938C2×D4—22no—
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—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
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—44no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—82no—
992C2×D4—82no—
993C2×D4—82no—
994C2×D4—82no—
995C2×D4—82no—
996C2×D4—82no—
997C2×D4—82no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—816no—
1011C2×D4H(5,𝔽2)12yes—
1012C2×D4H(5,𝔽2)12yes—
1013C2×D4H(5,𝔽2)12yes—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—22no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
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—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C2511yescharacteristic
1083Q16—82no—
1084Q16—82no—
1085SD16—44no—
1086SD16—44no—
1087SD16—44no—
1088SD16—82no—
1089SD16—82no—
1090D8—44no—
1091D8—44no—
1092D8—82no—
1093M16—44no—
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—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—82no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
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⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4H(5,𝔽2)12yes—
1155C22⋊C4—24no—
1156C22⋊C4—24no—
1157C22⋊C4—24no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
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—81no—
1188C22⋊C4—81no—
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—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—21no—
1212C42—21no—
1213C42—21no—
1214C42—21no—
1215C42—21no—
1216C42—41no—
1217C42—41no—
1218C42—42no—
1219C42—42no—
1220C42—81no—
1221C42—81no—
1222C42—81no—
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—22no—
1236C23—22no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—22no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
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—41no—
1269C23—41no—
1270C23—41no—
1271C23—84no—
1272C23—84no—
1273C23—84no—
1274C23—84no—
1275C23—84no—
1276C23—84no—
1277C23—84no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23—162no—
1283C23—162no—
1284C23—162no—
1285C23#57512yes—
1286C23C23×D411yescharacteristic
1287Q8—22no—
1288Q8—22no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—41no—
1293Q8—41no—
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—84no—
1300D4—22no—
1301D4—22no—
1302D4—22no—
1303D4—22no—
1304D4—22no—
1305D4—22no—
1306D4—48no—
1307D4—44no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—82no—
1319D4—82no—
1320D4—84no—
1321D4—84no—
1322D4—84no—
1323D4—84no—
1324D4—84no—
1325D4—84no—
1326D4—84no—
1327D4—162no—
1328D4—162no—
1329D4—162no—
1330D4—162no—
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—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—22no—
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—21no—
1364C2×C4—21no—
1365C2×C4—21no—
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—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—82no—
1413C2×C4—82no—
1414C2×C4—84no—
1415C2×C4—84no—
1416C2×C4—84no—
1417C2×C4—84no—
1418C2×C4—162no—
1419C2×C4—162no—
1420C2×C4—162no—
1421C2×C4C2×H(5,𝔽2)11yescharacteristic
1422C2×C4C2×H(5,𝔽2)11yescharacteristic
1423C2×C4C2×H(5,𝔽2)11yescharacteristic
1424C2×C4C2×H(5,𝔽2)11yescharacteristic
1425C2×C4C2×H(5,𝔽2)11yescharacteristic
1426C2×C4#58511yescharacteristic
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C8—41no—
1432C8—41no—
1433C8—41no—
1434C8—41no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—42no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—42no—
1447C22—41no—
1448C22—41no—
1449C22—42no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—42no—
1454C22—41no—
1455C22—42no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—41no—
1464C22—41no—
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—81no—
1482C22—81no—
1483C22—81no—
1484C22—168no—
1485C22—168no—
1486C22#348411yescharacteristic
1487C22#348411yescharacteristic
1488C22#348811yescharacteristic
1489C22C2×#57511yescharacteristic
1490C22#358411yescharacteristic
1491C22#358411yescharacteristic
1492C22#358511yescharacteristic
1493C4—41no—
1494C4—41no—
1495C4—42no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—42no—
1504C4—41no—
1505C4—41no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4#353211yescharacteristic
1517C4#353411yescharacteristic
1518C4#353711yescharacteristic
1519C4#355811yescharacteristic
1520C2—42no—
1521C2—81no—
1522C2—81no—
1523C2—82no—
1524C2—82no—
1525C2—82no—
1526C2—161no—
1527C2#4783811yescharacteristic
1528C2#6157611yescharacteristic
1529C2#6160611yescharacteristic
1530C2#6162811yescharacteristic
1531C2#6166611yescharacteristic
1532C2#6199011yescharacteristic
1533C2#6204711yescharacteristic
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. #59131C2semidirect
2. #39537C2semidirect
3. #32170C2semidirect
4. #32041C2semidirect
5. #31517C2semidirect
6. #31294C2semidirect
7. #31277C2semidirect
8. #31067C2semidirect
9. #31028C2semidirect
10. #30915C2semidirect
11. #30891C2semidirect
12. #30541C2semidirect
13. #30502C2semidirect
14. #30400C2semidirect
15. #30016C2semidirect
16. #29626C2semidirect
17. #29412C2semidirect
18. #27087C2semidirect
19. #26955C2semidirect
20. #26900C2semidirect
21. #25891C2semidirect
22. #25158C2semidirect
23. #25087C2semidirect
24. #24433C2semidirect
25. #24373C2semidirect
26. #24244C2semidirect
27. #24215C2semidirect
28. #24037C2semidirect
29. #23863C2semidirect
30. #23860C2semidirect
31. #23331C2semidirect
40. C2×#467C22semidirect
41. C2×#466C22semidirect
43. C2×#463C22semidirect
44. C2×#463C22semidirect
45. C2×#452C22semidirect
46. C2×#452C22semidirect
47. C2×#452C22semidirect
49. C2×#449C22semidirect
50. C2×#451C22semidirect
51. C2×#448C22semidirect
54. C2×C4×SD16C22semidirect
55. C2×#416C22semidirect
56. #2855C22semidirect
68. #2535C22semidirect
70. #2514C22semidirect
72. #2495C22semidirect
73. #2489C22semidirect
74. #2485C22semidirect
76. #2454C22semidirect
83. #2415C22semidirect
88. #2407C22semidirect
90. #2363C22semidirect
91. #2339C22semidirect
96. C4×#121C22semidirect
98. #2086C22semidirect
99. #2077C22semidirect
100. #2076C22semidirect
101. #2073C22semidirect
102. #2067C22semidirect
103. #2067C22semidirect
104. #2066C22semidirect
105. #2056C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2036C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2035C22semidirect
120. #2035C22semidirect
121. #2035C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
128. #2026C22semidirect
129. #2026C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
137. #2012C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
146. #1983C22semidirect
148. #1973C22semidirect
149. #1971C22semidirect
150. #1968C22semidirect
151. #1958C22semidirect
153. #1954C22semidirect
155. #1928C22semidirect
156. #1928C22semidirect
157. #1927C22semidirect
158. #1926C22semidirect
159. #1925C22semidirect
160. #1924C22semidirect
161. #1923C22semidirect
162. #1921C22semidirect
163. #1920C22semidirect
164. #1919C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
168. #1894C22semidirect
169. #1894C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1878C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1873C22semidirect
182. #1870C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1850C22semidirect
191. #1817C22semidirect
192. #1805C22semidirect
193. #1797C22semidirect
194. #1788C22semidirect
195. #1787C22semidirect
196. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#591312
#395372
#321702
#320412
#315172
#312942
#312772
#310672
#310282
#309152
#308912
#305412
#305022
#304002
#300162
#296262
#294122
#270872
#269552
#269002
#258912
#251582
#250872
#244332
#243732
#242442
#242152
#240372
#238632
#238602
#233312