Finite Group Databasebeta

← #6502890

Subgroups — #6502890

Order 512.

2122 conjugacy classes of subgroups.

The subgroup lattice has 1539 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3197C211yesmaximal, characteristic, complemented
2C2×#2976C211yesmaximal, characteristic, complemented
3#37444C211yesmaximal, characteristic, complemented
4#35150C211yesmaximal, characteristic, complemented
5#28570C211yesmaximal, characteristic, complemented
6#28569C211yesmaximal, characteristic, complemented
7#28558C211yesmaximal, characteristic, complemented
8#28557C211yesmaximal, characteristic, complemented
9#25251C211yesmaximal, characteristic, complemented
10#25249C211yesmaximal, characteristic, complemented
11#25239C211yesmaximal, characteristic, complemented
12#25237C211yesmaximal, characteristic, complemented
13#25131C211yesmaximal, characteristic, complemented
14#25129C211yesmaximal, characteristic, complemented
15#25111C211yesmaximal, characteristic, complemented
16#25109C211yesmaximal, characteristic, complemented
17#24795C211yesmaximal, characteristic, complemented
18#24794C211yesmaximal, characteristic, complemented
19#24791C211yesmaximal, characteristic, complemented
20#24790C211yesmaximal, characteristic, complemented
21#24615C211yesmaximal, characteristic, complemented
22#24613C211yesmaximal, characteristic, complemented
23#24569C211yesmaximal, characteristic, complemented
24#24567C211yesmaximal, characteristic, complemented
25#24519C211yesmaximal, characteristic, complemented
26#24517C211yesmaximal, characteristic, complemented
27#24393C211yesmaximal, characteristic, complemented
28#24391C211yesmaximal, characteristic, complemented
29#21763C211yesmaximal, characteristic, complemented
30#20908C211yesmaximal, characteristic, complemented
31#20846C211yesmaximal, characteristic, complemented
32C2×#537C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C22×#117C2211yescharacteristic
37#3197—28no—
38C2×#485C2211yescharacteristic
39C2×#485C2211yescharacteristic
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#470C2211yescharacteristic
43C2×#469C2211yescharacteristic
44C2×#468C2211yescharacteristic
45C2×#468C2211yescharacteristic
46C2×#468C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#467C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic, complemented
50C2×#452C2211yescharacteristic
51C2×#452C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#449C2211yescharacteristic
54#2976—28no—
55C2×#436C2211yescharacteristic
56C2×#436C2211yescharacteristic
57C2×#435C2211yescharacteristic
58C2×#435C2211yescharacteristic
59C2×#435C2211yescharacteristic
60C2×#435C2211yescharacteristic
61C2×C8×D4C2211yescharacteristic
62C2×C8×D4C2211yescharacteristic
63C2×#433C2211yescharacteristic
64C2×#433C2211yescharacteristic
65C2×#428C2211yescharacteristic
66C2×#428C2211yescharacteristic
67C2×#416C2211yescharacteristic
68C2×#416C2211yescharacteristic
69C2×#408C2211yescharacteristic
70C2×#408C2211yescharacteristic
71C2×#407C2211yescharacteristic
72C22×C22⋊C8C2211yescharacteristic
73#2854—21no—
74#2854—21no—
75#2814—21no—
76#2813—21no—
77#2630—21no—
78#2630—21no—
79#2625C2211yescharacteristic
80#2624C2211yescharacteristic
81#2617—21no—
82#2617—21no—
83#2617—21no—
84#2617—21no—
85#2616C2211yescharacteristic
86#2615C2211yescharacteristic
87#2564—21no—
88#2543—21no—
89#2485C2211yescharacteristic
90#2485C2211yescharacteristic
91#2417C2211yescharacteristic
92#2417C2211yescharacteristic
93#2416C2211yescharacteristic
94#2416C2211yescharacteristic
95#2415—21no—
96#2415—21no—
97#2415C2211yescharacteristic
98#2415C2211yescharacteristic
99#2415C2211yescharacteristic
100#2415C2211yescharacteristic
101#2414—21no—
102#2414—21no—
103#2414C2211yescharacteristic
104#2414C2211yescharacteristic
105#2414C2211yescharacteristic
106#2414C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2316C2211yescharacteristic
110#2311C2211yescharacteristic
111#2311C2211yescharacteristic
112C2×#380C2211yescharacteristic
113#2088C2211yescharacteristic, complemented
114#2088C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2086C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2068C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2066C2211yescharacteristic, complemented
126#2066C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2065C2211yescharacteristic, complemented
129#2056C2211yescharacteristic, complemented
130#2055C2211yescharacteristic, complemented
131#2055C2211yescharacteristic, complemented
132#2054C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2036C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1972C2211yescharacteristic, complemented
146#1971C2211yescharacteristic, complemented
147#1968C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1943C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1942C2211yescharacteristic, complemented
152#1942C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1935C2211yescharacteristic, complemented
156#1935C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1933C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1892C2211yescharacteristic
170#1892C2211yescharacteristic
171#1892C2211yescharacteristic, complemented
172#1892C2211yescharacteristic, complemented
173#1875C2211yescharacteristic
174#1875C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1873C2211yescharacteristic
180#1873C2211yescharacteristic
181#1872C2211yescharacteristic
182#1872C2211yescharacteristic
183#1872C2211yescharacteristic
184#1872C2211yescharacteristic
185#1854C2211yescharacteristic
186#1854C2211yescharacteristic
187#1854C2211yescharacteristic
188#1854C2211yescharacteristic
189#1853C2211yescharacteristic
190#1853C2211yescharacteristic
191#1852C2211yescharacteristic
192#1852C2211yescharacteristic
193#1825C2211yescharacteristic
194#1825C2211yescharacteristic
195#1809C2211yescharacteristic, complemented
196#1809C2211yescharacteristic, complemented
197#1807C2211yescharacteristic, complemented
198#1807C2211yescharacteristic, complemented
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic
201#1736C2211yescharacteristic
202#1736C2211yescharacteristic
203#1735C2211yescharacteristic
204#1735C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#537—42no—
222#537—42no—
223#525—24no—
224#525—24no—
225#525—24no—
226#525—24no—
227#525—24no—
228#525—24no—
229C2×#123—21no—
230C2×#123—21no—
231C2×#123D411yescharacteristic
232C2×#123D411yescharacteristic
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8D411yescharacteristic
235C2×C22⋊Q8D411yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121D411yescharacteristic
250C2×#121D411yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×#120D411yescharacteristic
262C2×#120D411yescharacteristic
263C2×C4×D4—21no—
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×#117—21no—
272C2×#117—21no—
273C2×#117—42no—
274C2×#117—42no—
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C2×#117C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C22⋊C4—21no—
287C22×C22⋊C4—21no—
288C22×C42—21no—
289#485—24no—
290#485—24no—
291#482—24no—
292#482—24no—
293#470—24no—
294#469—24no—
295#468—24no—
296#468—24no—
297#468—42no—
298#468—42no—
299#467—42no—
300#466—42no—
301#452—24no—
302#452—24no—
303#449—24no—
304#449—24no—
305#436—24no—
306#436—24no—
307#435—24no—
308#435—24no—
309#435—24no—
310#435—24no—
311C8×D4—24no—
312C8×D4—24no—
313#433—24no—
314#433—24no—
315#428—42no—
316#428—42no—
317C2×#107C2311yescharacteristic
318C2×#107C2311yescharacteristic
319C2×#107C2311yescharacteristic
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#106C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333#416—42no—
334#416—42no—
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359#408—24no—
360#408—24no—
361#407D418yescomplemented
362C2×C22⋊C8—24no—
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×C4×C8C2311yescharacteristic
378C2×C4×C8C2311yescharacteristic
379#400—21no—
380#399—21no—
381#398—21no—
382#398—21no—
383#398—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#396—21no—
394#396—21no—
395#396—21no—
396#396—21no—
397#395—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#393—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#391—21no—
428#391C2311yescharacteristic
429#391C2311yescharacteristic
430#391C2311yescharacteristic
431#391C2311yescharacteristic
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#389—21no—
442#389—21no—
443#389—21no—
444#389—21no—
445#389—21no—
446#389—21no—
447#389C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#387—21no—
466#387—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#385—21no—
478#385—21no—
479#380—21no—
480#380—21no—
481#380—21no—
482#380—21no—
483#380—21no—
484#380—21no—
485#380—21no—
486#380—21no—
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499C2×#95—21no—
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524C25C2×D411yescharacteristic
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C22×Q8C2×D411yescharacteristic
544C22×Q8C2411yescharacteristic
545C22×Q8C2411yescharacteristic
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2×D411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4C2×D411yescharacteristic
576C23×C4C2×D411yescharacteristic
577C23×C4C2×D411yescharacteristic
578C23×C4C2×D414yes—
579C23×C4#4114yes—
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C2×Q16—22no—
586C2×Q16—41no—
587C2×Q16—41no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×D8—22no—
595C2×D8—41no—
596C2×D8—41no—
597C2×M16—22no—
598C2×M16—22no—
599C2×M16—41no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16—41no—
605C2×M16—41no—
606C2×M16—41no—
607C2×M16C2×D414yes—
608C2×M16C2×D414yes—
609C22×C8—22no—
610C22×C8—22no—
611C22×C8—22no—
612C22×C8—22no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629#123—24no—
630#123—24no—
631#123—44no—
632#123—44no—
633C22⋊Q8—24no—
634C22⋊Q8—24no—
635C22⋊Q8—22no—
636C22⋊Q8—22no—
637C22⋊Q8—22no—
638C22⋊Q8—22no—
639C22⋊Q8—22no—
640C22⋊Q8—22no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—44no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652#121—24no—
653#121—24no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—41no—
665#121—41no—
666#121—44no—
667#121—44no—
668#121—44no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—82no—
674#121—82no—
675#120—24no—
676#120—24no—
677#120—44no—
678#120—44no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—22no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—22no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—44no—
688C4×D4—44no—
689C4×D4—44no—
690C4×D4—44no—
691#117—22no—
692#117—22no—
693#117—22no—
694#117—22no—
695#117—22no—
696#117—22no—
697#117—22no—
698#117—22no—
699#117—22no—
700#117—22no—
701#117—41no—
702#117—41no—
703#117—41no—
704#117—41no—
705#117—44no—
706#117—44no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—22no—
709C2×C4⋊C4—22no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—41no—
730C2×C4⋊C4—41no—
731C2×C4⋊C4—41no—
732C2×C4⋊C4—41no—
733C2×C4⋊C4—41no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4C2×D411yescharacteristic
736C2×C4⋊C4C2×D411yescharacteristic
737C2×C4⋊C4C2×D411yescharacteristic
738C2×C4⋊C4C2×D411yescharacteristic
739C2×C4⋊C4C2×D411yescharacteristic
740C2×C4⋊C4C2×D411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
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—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—44no—
796C2×C22⋊C4—82no—
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C42—21no—
808C2×C42—21no—
809C2×C42—21no—
810C2×C42—21no—
811C2×C42—21no—
812C2×C42—21no—
813C2×C42—44no—
814C2×C42C2411yescharacteristic
815C2×C42C2411yescharacteristic
816#107—22no—
817#107—22no—
818#107—22no—
819#107—22no—
820#107—22no—
821#107—22no—
822#106—22no—
823#106—22no—
824#106—41no—
825#106—41no—
826#106—41no—
827#106—41no—
828C4⋊C8—22no—
829C4⋊C8—22no—
830C4⋊C8—22no—
831C4⋊C8—22no—
832#103—22no—
833#103—22no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—22no—
838#103—41no—
839#103—41no—
840#103—41no—
841#103—41no—
842#103—41no—
843#103—41no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856C22⋊C8—22no—
857C22⋊C8—22no—
858C22⋊C8—22no—
859C22⋊C8—22no—
860C22⋊C8—22no—
861C22⋊C8—22no—
862C22⋊C8—22no—
863C22⋊C8—22no—
864C22⋊C8C2×D414yes—
865C22⋊C8C2×D414yes—
866C22⋊C8C2×D414yes—
867C22⋊C8C2×D414yes—
868#97—22no—
869#97—22no—
870C4×C8—22no—
871C4×C8—22no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900C24—21no—
901C24—21no—
902C24—41no—
903C24—41no—
904C24—41no—
905C24—41no—
906C24—41no—
907C24—41no—
908C24#12114yes—
909C24C22×D411yescharacteristic
910C24C22×D411yescharacteristic
911C24C22×D411yescharacteristic
912C24C22×D411yescharacteristic
913C24C22×D411yescharacteristic
914#41—44no—
915#41—44no—
916#41—82no—
917#41—82no—
918#41—82no—
919#41—82no—
920#41—82no—
921#41—82no—
922#41—82no—
923#41—82no—
924#41—82no—
925#41—82no—
926C2×Q8—22no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—41no—
940C2×Q8—41no—
941C2×D4—22no—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—22no—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—22no—
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—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
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—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
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—24no—
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—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4—44no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
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#12114yes—
1071C22×C4#12114yes—
1072C22×C4#12114yes—
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×C4C22×D412yes—
1083C22×C4C22×D412yes—
1084C22×C4C22×D412yes—
1085C22×C4C2×#4112yes—
1086C22×C4C2×#4112yes—
1087C22×C4C2×#4112yes—
1088C22×C4C2511yescharacteristic
1089Q16—82no—
1090SD16—82no—
1091SD16—82no—
1092D8—82no—
1093M16—44no—
1094M16—44no—
1095M16—82no—
1096M16—82no—
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—82no—
1118C2×C8—82no—
1119C2×C8—82no—
1120C2×C8—82no—
1121C2×C8C22×D412yes—
1122C2×C8C22×D412yes—
1123C2×C8C22×D412yes—
1124C2×C8C22×D412yes—
1125C4⋊C4—24no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C4⋊C4—81no—
1169C4⋊C4—81no—
1170C4⋊C4—81no—
1171C4⋊C4—81no—
1172C4⋊C4—81no—
1173C4⋊C4H(5,𝔽2)12yes—
1174C4⋊C4H(5,𝔽2)12yes—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C42—21no—
1228C42—21no—
1229C42—21no—
1230C42—21no—
1231C42—42no—
1232C42—42no—
1233C42—42no—
1234C42—42no—
1235C42—42no—
1236C42—42no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—82no—
1287C23—82no—
1288C23—82no—
1289C23—82no—
1290C23C2×#12112yes—
1291C23C2×#12112yes—
1292C23C2×#12112yes—
1293C23C23×D411yescharacteristic
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—82no—
1303D4—44no—
1304D4—44no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—82no—
1314D4—82no—
1315D4—82no—
1316D4—82no—
1317D4—82no—
1318D4—84no—
1319D4—84no—
1320D4—84no—
1321D4—84no—
1322D4—84no—
1323D4—84no—
1324D4—162no—
1325D4—162no—
1326D4—162no—
1327D4—162no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
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—22no—
1361C2×C4—22no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—44no—
1367C2×C4—44no—
1368C2×C4—44no—
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—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—84no—
1418C2×C4—84no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—162no—
1422C2×C4—162no—
1423C2×C4C2×#12112yes—
1424C2×C4C2×#12112yes—
1425C2×C4C2×#12112yes—
1426C2×C4C23×D411yescharacteristic
1427C2×C4C22×#4111yescharacteristic
1428C2×C4C2×H(5,𝔽2)11yescharacteristic
1429C2×C4C2×H(5,𝔽2)11yescharacteristic
1430C2×C4#58511yescharacteristic
1431C2×C4#58511yescharacteristic
1432C8—22no—
1433C8—22no—
1434C8—22no—
1435C8—22no—
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—88no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22C22×#12111yescharacteristic
1491C22#348411yescharacteristic
1492C22#348511yescharacteristic
1493C22#358411yescharacteristic
1494C22#358411yescharacteristic
1495C22#358511yescharacteristic
1496C22#358611yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—42no—
1507C4—42no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4#349611yescharacteristic
1521C4#349611yescharacteristic
1522C4#350511yescharacteristic
1523C4#350511yescharacteristic
1524C2—42no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2—81no—
1529C2—161no—
1530C2—161no—
1531C2#3535811yescharacteristic
1532C2#6045311yescharacteristic
1533C2#6045611yescharacteristic
1534C2#6161411yescharacteristic
1535C2#6161511yescharacteristic
1536C2#6174911yescharacteristic
1537C2#6175011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3197C2semidirect
2. C2×#2976C2semidirect
3. #37444C2semidirect
4. #35150C2semidirect
5. #28570C2semidirect
6. #28569C2semidirect
7. #28558C2semidirect
8. #28557C2semidirect
9. #25251C2semidirect
10. #25249C2semidirect
11. #25239C2semidirect
12. #25237C2semidirect
13. #25131C2semidirect
14. #25129C2semidirect
15. #25111C2semidirect
16. #25109C2semidirect
17. #24795C2semidirect
18. #24794C2semidirect
19. #24791C2semidirect
20. #24790C2semidirect
21. #24615C2semidirect
22. #24613C2semidirect
23. #24569C2semidirect
24. #24567C2semidirect
25. #24519C2semidirect
26. #24517C2semidirect
27. #24393C2semidirect
28. #24391C2semidirect
29. #21763C2semidirect
30. #20908C2semidirect
31. #20846C2semidirect
46. C2×#468C22semidirect
47. C2×#468C22semidirect
48. C2×#467C22semidirect
49. C2×#466C22semidirect
113. #2088C22semidirect
114. #2088C22semidirect
115. #2087C22semidirect
116. #2086C22semidirect
117. #2077C22semidirect
118. #2077C22semidirect
119. #2076C22semidirect
120. #2075C22semidirect
121. #2068C22semidirect
122. #2068C22semidirect
123. #2067C22semidirect
124. #2067C22semidirect
125. #2066C22semidirect
126. #2066C22semidirect
127. #2065C22semidirect
128. #2065C22semidirect
129. #2056C22semidirect
130. #2055C22semidirect
131. #2055C22semidirect
132. #2054C22semidirect
133. #2036C22semidirect
134. #2036C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2001C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #1999C22semidirect
145. #1972C22semidirect
146. #1971C22semidirect
147. #1968C22semidirect
148. #1968C22semidirect
149. #1943C22semidirect
150. #1943C22semidirect
151. #1942C22semidirect
152. #1942C22semidirect
153. #1936C22semidirect
154. #1936C22semidirect
155. #1935C22semidirect
156. #1935C22semidirect
157. #1934C22semidirect
158. #1934C22semidirect
159. #1933C22semidirect
160. #1933C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
171. #1892C22semidirect
172. #1892C22semidirect
195. #1809C22semidirect
196. #1809C22semidirect
197. #1807C22semidirect
198. #1807C22semidirect
361. #407D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31972
C2×#29762
#374442
#351502
#285702
#285692
#285582
#285572
#252512
#252492
#252392
#252372
#251312
#251292
#251112
#251092
#247952
#247942
#247912
#247902
#246152
#246132
#245692
#245672
#245192
#245172
#243932
#243912
#217632
#209082
#208462