Finite Group Databasebeta

← #6502906

Subgroups — #6502906

Order 512.

2111 conjugacy classes of subgroups.

The subgroup lattice has 1515 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3201C211yesmaximal, characteristic, complemented
2C2×#2977C211yesmaximal, characteristic, complemented
3#37374C211yesmaximal, characteristic, complemented
4#35518C211yesmaximal, characteristic
5#28560C211yesmaximal, characteristic, complemented
6#28558C211yesmaximal, characteristic, complemented
7#28555C211yesmaximal, characteristic, complemented
8#28553C211yesmaximal, characteristic, complemented
9#25247C211yesmaximal, characteristic, complemented
10#25243C211yesmaximal, characteristic, complemented
11#25237C211yesmaximal, characteristic, complemented
12#25233C211yesmaximal, characteristic, complemented
13#25122C211yesmaximal, characteristic, complemented
14#25118C211yesmaximal, characteristic, complemented
15#25114C211yesmaximal, characteristic, complemented
16#25110C211yesmaximal, characteristic, complemented
17#24791C211yesmaximal, characteristic, complemented
18#24789C211yesmaximal, characteristic, complemented
19#24779C211yesmaximal, characteristic, complemented
20#24777C211yesmaximal, characteristic, complemented
21#24616C211yesmaximal, characteristic, complemented
22#24614C211yesmaximal, characteristic, complemented
23#24552C211yesmaximal, characteristic, complemented
24#24551C211yesmaximal, characteristic, complemented
25#24517C211yesmaximal, characteristic, complemented
26#24515C211yesmaximal, characteristic, complemented
27#24383C211yesmaximal, characteristic, complemented
28#24383C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#20913C211yesmaximal, characteristic, complemented
31#20849C211yesmaximal, characteristic, complemented
32C2×#537C2211yescharacteristic
33C2×#536C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#520C2211yescharacteristic
37#3201—28no—
38C2×#484C2211yescharacteristic
39C2×#485C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic, complemented
41C2×#483C2211yescharacteristic
42C2×#470C2211yescharacteristic, complemented
43C2×#468C2211yescharacteristic, complemented
44C2×#467C2211yescharacteristic
45C2×#467C2211yescharacteristic
46C2×#467C2211yescharacteristic, complemented
47C2×#465C2211yescharacteristic
48C2×#465C2211yescharacteristic
49C2×#465C2211yescharacteristic, complemented
50C2×#452C2211yescharacteristic
51C2×#452C2211yescharacteristic
52C2×#451C2211yescharacteristic, complemented
53C2×#448C2211yescharacteristic, complemented
54#2977—28no—
55C2×#435C2211yescharacteristic
56C2×#435C2211yescharacteristic
57C2×#435C2211yescharacteristic
58C2×#435C2211yescharacteristic
59C2×C8×D4C2211yescharacteristic
60C2×C8×D4C2211yescharacteristic
61C2×C8×D4C2211yescharacteristic
62C2×C8×D4C2211yescharacteristic
63C2×#433C2211yescharacteristic
64C2×#433C2211yescharacteristic
65C2×#428C2211yescharacteristic, complemented
66C2×#427C2211yescharacteristic, complemented
67C2×#419C2211yescharacteristic, complemented
68C22×#103C2211yescharacteristic, complemented
69C2×#408C2211yescharacteristic
70C2×#408C2211yescharacteristic
71C22×C22⋊C8C2211yescharacteristic
72C22×C22⋊C8C2211yescharacteristic
73#2848C2211yescharacteristic
74#2848C2211yescharacteristic
75#2729—21no—
76#2729—21no—
77#2724—21no—
78#2717—21no—
79#2708—21no—
80#2708—21no—
81#2697—21no—
82#2684—21no—
83#2625C2211yescharacteristic
84#2625C2211yescharacteristic
85#2538—21no—
86#2537—21no—
87#2536—21no—
88#2535—21no—
89#2485C2211yescharacteristic
90#2485C2211yescharacteristic
91#2425—21no—
92#2425—21no—
93#2424—21no—
94#2424—21no—
95#2417C2211yescharacteristic
96#2417C2211yescharacteristic
97#2417C2211yescharacteristic
98#2417C2211yescharacteristic
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic
101#2415C2211yescharacteristic
102#2415C2211yescharacteristic
103#2415C2211yescharacteristic
104#2415C2211yescharacteristic
105#2414C2211yescharacteristic
106#2414C2211yescharacteristic
107#2409C2211yescharacteristic
108#2409C2211yescharacteristic
109#2317C2211yescharacteristic
110#2311C2211yescharacteristic
111#2311C2211yescharacteristic
112C2×#380C2211yescharacteristic
113#2088C2211yescharacteristic, complemented
114#2088C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2086C2211yescharacteristic, complemented
117#2077C2211yescharacteristic
118#2077C2211yescharacteristic
119#2076C2211yescharacteristic
120#2076C2211yescharacteristic
121#2068C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2068C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2066C2211yescharacteristic, complemented
126#2066C2211yescharacteristic, complemented
127#2066C2211yescharacteristic, complemented
128#2065C2211yescharacteristic, complemented
129#2056C2211yescharacteristic, complemented
130#2056C2211yescharacteristic, complemented
131#2055C2211yescharacteristic, complemented
132#2055C2211yescharacteristic, complemented
133#2036C2211yescharacteristic
134#2036C2211yescharacteristic
135#2035C2211yescharacteristic
136#2035C2211yescharacteristic
137#2035C2211yescharacteristic
138#2035C2211yescharacteristic
139#2033C2211yescharacteristic
140#2033C2211yescharacteristic
141#2001C2211yescharacteristic
142#2001C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#1973C2211yescharacteristic, complemented
146#1971C2211yescharacteristic, complemented
147#1969C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1944C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1942C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1935C2211yescharacteristic, complemented
155#1935C2211yescharacteristic, complemented
156#1935C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1933C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1894C2211yescharacteristic, complemented
163#1893C2211yescharacteristic
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic, complemented
166#1892C2211yescharacteristic
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic
169#1892C2211yescharacteristic
170#1892C2211yescharacteristic
171#1892C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1873C2211yescharacteristic
176#1873C2211yescharacteristic
177#1873C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic
181#1872C2211yescharacteristic
182#1872C2211yescharacteristic, complemented
183#1872C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1854C2211yescharacteristic
186#1854C2211yescharacteristic
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1853C2211yescharacteristic
190#1853C2211yescharacteristic, complemented
191#1852C2211yescharacteristic
192#1852C2211yescharacteristic, complemented
193#1824C2211yescharacteristic
194#1823C2211yescharacteristic
195#1808C2211yescharacteristic
196#1808C2211yescharacteristic
197#1807C2211yescharacteristic
198#1807C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic
201#1736C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#537—24no—
222#537—24no—
223#536—24no—
224#536—24no—
225C2×C4⋊Q8—21no—
226C2×#124—21no—
227#525—24no—
228#525—24no—
229#525—42no—
230#525—42no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×#123D411yescharacteristic
235C2×#123D411yescharacteristic
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8D411yescharacteristic
238C2×C22⋊Q8D411yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121D411yescharacteristic
257C2×#121D411yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120D411yescharacteristic
264C2×#120D411yescharacteristic
265#520—42no—
266#520—42no—
267C2×C4×Q8—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C2×#117C2311yescharacteristic
282C2×#117C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C22⋊C4—21no—
289#485—24no—
290#484—24no—
291#483—24no—
292#482—24no—
293#470—24no—
294#468—24no—
295#467—24no—
296#467—42no—
297#467—42no—
298#465—24no—
299#465—42no—
300#465—42no—
301#452—24no—
302#452—24no—
303#451—24no—
304#448—24no—
305#435—24no—
306#435—24no—
307#435—24no—
308#435—24no—
309C8×D4—24no—
310C8×D4—24no—
311C8×D4—24no—
312C8×D4—24no—
313#433—24no—
314#433—24no—
315#428—42no—
316#427—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#419—42no—
334C2×#103—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×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359#408—24no—
360#408D418yescomplemented
361C2×C22⋊C8—24no—
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#400—21no—
381#398—21no—
382#398—21no—
383#398—21no—
384#398—21no—
385#398—21no—
386#398—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397—21no—
396#397—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#395—21no—
404#395—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#393—21no—
416#393—21no—
417#392—21no—
418#392—21no—
419#391—21no—
420#391C2311yescharacteristic
421#391C2311yescharacteristic
422#391C2311yescharacteristic
423#391C2311yescharacteristic
424#391C2311yescharacteristic
425#391C2311yescharacteristic
426#390—21no—
427#390—21no—
428#390—21no—
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#389—21no—
432#389—21no—
433#389—21no—
434#389—21no—
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#387—21no—
452#387—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#385—21no—
472#385—21no—
473#385—21no—
474#385—21no—
475#384—21no—
476#382—21no—
477#380—21no—
478#380—21no—
479#380—21no—
480#380—21no—
481#380—21no—
482#380—21no—
483#380—21no—
484#380—21no—
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498#379—21no—
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—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41C2×D414yes—
536C2×#41#4114yes—
537C22×Q8—21no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—41no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8C2×D411yescharacteristic
545C22×Q8C2411yescharacteristic
546C22×Q8C2411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2411yescharacteristic
561C23×C4—22no—
562C23×C4—22no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4C2×D411yescharacteristic
575C23×C4C2×D411yescharacteristic
576C23×C4C2×D411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C2×Q16—22no—
583C2×Q16—22no—
584C2×Q16—41no—
585C2×Q16—41no—
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×M16—22no—
595C2×M16—41no—
596C2×M16—41no—
597C2×M16—41no—
598C2×M16—41no—
599C2×M16C2×D414yes—
600C22×C8—22no—
601C22×C8—22no—
602C22×C8—22no—
603C22×C8—22no—
604C22×C8—22no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8C2×D414yes—
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C4⋊Q8—44no—
627#124—44no—
628#123—24no—
629#123—24no—
630#123—44no—
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—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—22no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—44no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—41no—
659C22⋊Q8—41no—
660#121—24no—
661#121—24no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—41no—
669#121—41no—
670#121—44no—
671#121—44no—
672#121—44no—
673#121—82no—
674#121—82no—
675#120—24no—
676#120—24no—
677#120—44no—
678C4×Q8—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—
691C4×D4—44no—
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—41no—
701#117—41no—
702#117—41no—
703#117—41no—
704C2×C4⋊C4—22no—
705C2×C4⋊C4—22no—
706C2×C4⋊C4—22no—
707C2×C4⋊C4—22no—
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—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—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—41no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4—41no—
736C2×C4⋊C4—41no—
737C2×C4⋊C4—41no—
738C2×C4⋊C4—41no—
739C2×C4⋊C4C2×D411yescharacteristic
740C2×C4⋊C4C2×D411yescharacteristic
741C2×C4⋊C4C2×D411yescharacteristic
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
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—82no—
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
806C2×C42—21no—
807C2×C42—21no—
808C2×C42—21no—
809C2×C42—21no—
810C2×C42C2411yescharacteristic
811C2×C42C2411yescharacteristic
812#107—22no—
813#107—22no—
814#107—22no—
815#107—22no—
816#107—41no—
817#107—41no—
818#106—22no—
819#106—22no—
820#106—22no—
821#106—22no—
822#106—41no—
823#106—41no—
824C4⋊C8—22no—
825C4⋊C8—22no—
826C4⋊C8—22no—
827C4⋊C8—22no—
828#103—22no—
829#103—22no—
830#103—22no—
831#103—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#103—41no—
845#103—41no—
846#102—22no—
847#102—22no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852C22⋊C8—22no—
853C22⋊C8—22no—
854C22⋊C8—22no—
855C22⋊C8—22no—
856C22⋊C8—22no—
857C22⋊C8—22no—
858C22⋊C8—22no—
859C22⋊C8—22no—
860C22⋊C8C2×D414yes—
861C22⋊C8C2×D414yes—
862C22⋊C8C2×D414yes—
863C22⋊C8C2×D414yes—
864#97—22no—
865#97—22no—
866C4×C8—22no—
867C4×C8—22no—
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#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—22no—
901C24—22no—
902C24—22no—
903C24—21no—
904C24—41no—
905C24—41no—
906C24—41no—
907C24—41no—
908C24C22×D411yescharacteristic
909C24C22×D411yescharacteristic
910C24C22×D411yescharacteristic
911C24C22×D411yescharacteristic
912C24C22×D411yescharacteristic
913#41—44no—
914#41—44no—
915#41—44no—
916#41—44no—
917#41—82no—
918#41—82no—
919#41—82no—
920#41—82no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
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×Q8—44no—
942C2×Q8—44no—
943C2×Q8—42no—
944C2×Q8—81no—
945C2×Q8—81no—
946C2×Q8—82no—
947C2×Q8—82no—
948C2×Q8#12114yes—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
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—42no—
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—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4#12114yes—
989C2×D4#12114yes—
990C2×D4#12114yes—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—22no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—22no—
1019C22×C4—22no—
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—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
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—82no—
1048C22×C4—82no—
1049C22×C4—82no—
1050C22×C4—82no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D412yes—
1074C22×C4C22×D412yes—
1075C22×C4C22×D412yes—
1076C22×C4C2×#4112yes—
1077C22×C4C2×#4112yes—
1078C22×C4C2×#4112yes—
1079C22×C4C2511yescharacteristic
1080Q16—82no—
1081Q16—82no—
1082SD16—82no—
1083SD16—82no—
1084M16—44no—
1085M16—82no—
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—21no—
1105C2×C8—21no—
1106C2×C8—44no—
1107C2×C8—82no—
1108C2×C8—82no—
1109C2×C8—82no—
1110C2×C8—82no—
1111C2×C8—82no—
1112C2×C8C22×D412yes—
1113C2×C8C22×D412yes—
1114C2×C8C22×D412yes—
1115C2×C8C22×D412yes—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
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—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
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⋊C4H(5,𝔽2)12yes—
1170C4⋊C4H(5,𝔽2)12yes—
1171C22⋊C4—24no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
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—81no—
1202C22⋊C4—81no—
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—
1218C42—24no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—42no—
1224C42—42no—
1225C42—42no—
1226C42—81no—
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—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—44no—
1258C23—44no—
1259C23—44no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—82no—
1268C23—82no—
1269C23—82no—
1270C23—82no—
1271C23C2×#12112yes—
1272C23C2×#12112yes—
1273C23C2×#12112yes—
1274C23#57712yes—
1275C23#57812yes—
1276C23C23×D411yescharacteristic
1277Q8—44no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—84no—
1291D4—44no—
1292D4—44no—
1293D4—44no—
1294D4—44no—
1295D4—44no—
1296D4—44no—
1297D4—44no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—162no—
1306D4—162no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—21no—
1326C2×C4—21no—
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—22no—
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—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—82no—
1397C2×C4—82no—
1398C2×C4—84no—
1399C2×C4—82no—
1400C2×C4—84no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4—162no—
1405C2×C4—162no—
1406C2×C4C2×#12112yes—
1407C2×C4C2×#12112yes—
1408C2×C4C2×#12112yes—
1409C2×C4C23×D411yescharacteristic
1410C2×C4C22×#4111yescharacteristic
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4C2×H(5,𝔽2)11yescharacteristic
1413C2×C4#58511yescharacteristic
1414C2×C4#58511yescharacteristic
1415C8—22no—
1416C8—22no—
1417C8—22no—
1418C8—22no—
1419C8—41no—
1420C8—41no—
1421C8—41no—
1422C8—41no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
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—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—88no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22C22×#12111yescharacteristic
1467C22#348411yescharacteristic
1468C22#348511yescharacteristic
1469C22C2×#57711yescharacteristic
1470C22C2×#57811yescharacteristic
1471C22#358411yescharacteristic
1472C22#358411yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—42no—
1483C4—42no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4#349611yescharacteristic
1498C4#349611yescharacteristic
1499C4#350511yescharacteristic
1500C4#350511yescharacteristic
1501C2—42no—
1502C2—42no—
1503C2—42no—
1504C2—42no—
1505C2—42no—
1506C2—161no—
1507C2#3535811yescharacteristic
1508C2#6045711yescharacteristic
1509C2#6045911yescharacteristic
1510C2#6164011yescharacteristic
1511C2#6164211yescharacteristic
1512C2#6176711yescharacteristic
1513C2#6176911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35518C2
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×#3201C2semidirect
2. C2×#2977C2semidirect
3. #37374C2semidirect
5. #28560C2semidirect
6. #28558C2semidirect
7. #28555C2semidirect
8. #28553C2semidirect
9. #25247C2semidirect
10. #25243C2semidirect
11. #25237C2semidirect
12. #25233C2semidirect
13. #25122C2semidirect
14. #25118C2semidirect
15. #25114C2semidirect
16. #25110C2semidirect
17. #24791C2semidirect
18. #24789C2semidirect
19. #24779C2semidirect
20. #24777C2semidirect
21. #24616C2semidirect
22. #24614C2semidirect
23. #24552C2semidirect
24. #24551C2semidirect
25. #24517C2semidirect
26. #24515C2semidirect
27. #24383C2semidirect
28. #24383C2semidirect
29. #21772C2semidirect
30. #20913C2semidirect
31. #20849C2semidirect
39. C2×#485C22semidirect
40. C2×#482C22semidirect
42. C2×#470C22semidirect
43. C2×#468C22semidirect
46. C2×#467C22semidirect
49. C2×#465C22semidirect
52. C2×#451C22semidirect
53. C2×#448C22semidirect
65. C2×#428C22semidirect
66. C2×#427C22semidirect
67. C2×#419C22semidirect
68. C22×#103C22semidirect
113. #2088C22semidirect
114. #2088C22semidirect
115. #2087C22semidirect
116. #2086C22semidirect
121. #2068C22semidirect
122. #2068C22semidirect
123. #2068C22semidirect
124. #2067C22semidirect
125. #2066C22semidirect
126. #2066C22semidirect
127. #2066C22semidirect
128. #2065C22semidirect
129. #2056C22semidirect
130. #2056C22semidirect
131. #2055C22semidirect
132. #2055C22semidirect
145. #1973C22semidirect
146. #1971C22semidirect
147. #1969C22semidirect
148. #1968C22semidirect
149. #1944C22semidirect
150. #1943C22semidirect
151. #1942C22semidirect
152. #1941C22semidirect
153. #1936C22semidirect
154. #1935C22semidirect
155. #1935C22semidirect
156. #1935C22semidirect
157. #1934C22semidirect
158. #1933C22semidirect
159. #1933C22semidirect
160. #1933C22semidirect
161. #1895C22semidirect
162. #1894C22semidirect
165. #1893C22semidirect
172. #1892C22semidirect
173. #1875C22semidirect
174. #1874C22semidirect
177. #1873C22semidirect
178. #1873C22semidirect
179. #1873C22semidirect
182. #1872C22semidirect
183. #1872C22semidirect
184. #1872C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
190. #1853C22semidirect
192. #1852C22semidirect
201. #1736C22semidirect
202. #1736C22semidirect
203. #1735C22semidirect
204. C2×#340C22semidirect
360. #408D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32012
C2×#29772
#373742
#355182
#285602
#285582
#285552
#285532
#252472
#252432
#252372
#252332
#251222
#251182
#251142
#251102
#247912
#247892
#247792
#247772
#246162
#246142
#245522
#245512
#245172
#245152
#243832
#217722
#209132
#208492