Finite Group Databasebeta

← #6502644

Subgroups — #6502644

Order 512.

2267 conjugacy classes of subgroups.

The subgroup lattice has 1553 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3194C211yesmaximal, characteristic, complemented
2C2×#3054C211yesmaximal, characteristic, complemented
3#35078C211yesmaximal, characteristic, complemented
4#34223C211yesmaximal, characteristic, complemented
5#28582C211yesmaximal, characteristic, complemented
6#28580C211yesmaximal, characteristic, complemented
7#28579C211yesmaximal, characteristic, complemented
8#28578C211yesmaximal, characteristic, complemented
9#25231C211yesmaximal, characteristic, complemented
10#25227C211yesmaximal, characteristic, complemented
11#25223C211yesmaximal, characteristic, complemented
12#25219C211yesmaximal, characteristic, complemented
13#25105C211yesmaximal, characteristic, complemented
14#25101C211yesmaximal, characteristic, complemented
15#25097C211yesmaximal, characteristic, complemented
16#25093C211yesmaximal, characteristic, complemented
17#24761C211yesmaximal, characteristic, complemented
18#24758C211yesmaximal, characteristic, complemented
19#24757C211yesmaximal, characteristic, complemented
20#24756C211yesmaximal, characteristic, complemented
21#24587C211yesmaximal, characteristic, complemented
22#24585C211yesmaximal, characteristic, complemented
23#24537C211yesmaximal, characteristic, complemented
24#24535C211yesmaximal, characteristic, complemented
25#24486C211yesmaximal, characteristic, complemented
26#24484C211yesmaximal, characteristic, complemented
27#24364C211yesmaximal, characteristic, complemented
28#24362C211yesmaximal, characteristic, complemented
29#21766C211yesmaximal, characteristic, complemented
30#20973C211yesmaximal, characteristic, complemented
31#20837C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic, complemented
33C23×M16C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C22×#121C2211yescharacteristic
37#3194—28no—
38C2×#482C2211yescharacteristic
39C2×#482C2211yescharacteristic
40C2×#483C2211yescharacteristic
41C2×#480C2211yescharacteristic
42#3054—28no—
43C2×#470C2211yescharacteristic
44C2×#470C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic
46C2×#469C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#464C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#450C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#427C2211yescharacteristic, complemented
64C2×#423C2211yescharacteristic, complemented
65C2×#423C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic
67C2×#418C2211yescharacteristic
68C2×#416C2211yescharacteristic, complemented
69C2×#416C2211yescharacteristic, complemented
70C2×#407C2211yescharacteristic
71#2856C2211yescharacteristic
72#2856C2211yescharacteristic
73#2850C2211yescharacteristic
74#2850C2211yescharacteristic
75#2661—21no—
76#2661—21no—
77#2543—21no—
78#2543—21no—
79#2504C2211yescharacteristic
80#2502C2211yescharacteristic
81#2500C2211yescharacteristic
82#2500C2211yescharacteristic
83#2435C2211yescharacteristic
84#2433C2211yescharacteristic
85#2431C2211yescharacteristic
86#2431C2211yescharacteristic
87#2410—21no—
88#2410—21no—
89#2374—21no—
90#2374—21no—
91#2363C2211yescharacteristic
92#2363C2211yescharacteristic
93#2362C2211yescharacteristic
94#2362C2211yescharacteristic
95#2357—21no—
96#2353—21no—
97#2347C2211yescharacteristic, complemented
98#2346C2211yescharacteristic, complemented
99#2341C2211yescharacteristic, complemented
100#2339C2211yescharacteristic, complemented
101#2321—21no—
102#2321—21no—
103#2321—21no—
104#2321—21no—
105#2318—21no—
106C4×C22⋊Q8C2211yescharacteristic, complemented
107C4×C22⋊Q8C2211yescharacteristic, complemented
108C4×#121C2211yescharacteristic, complemented
109C4×#121C2211yescharacteristic, complemented
110#2280C2211yescharacteristic
111#2275—21no—
112C2×C4×C22⋊C4C2211yescharacteristic
113#2085C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2084C2211yescharacteristic, complemented
116#2083C2211yescharacteristic, complemented
117#2074C2211yescharacteristic, complemented
118#2073C2211yescharacteristic, complemented
119#2072C2211yescharacteristic, complemented
120#2071C2211yescharacteristic, complemented
121#2068C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2066C2211yescharacteristic, complemented
126#2065C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2065C2211yescharacteristic, complemented
129#2056C2211yescharacteristic, complemented
130#2055C2211yescharacteristic, complemented
131#2055C2211yescharacteristic, complemented
132#2055C2211yescharacteristic, complemented
133#2055C2211yescharacteristic, complemented
134#2054C2211yescharacteristic, complemented
135#2054C2211yescharacteristic, complemented
136#2054C2211yescharacteristic, complemented
137#2042C2211yescharacteristic, complemented
138#2042C2211yescharacteristic, complemented
139#2041C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1983C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1982C2211yescharacteristic, complemented
149#1949C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1948C2211yescharacteristic, complemented
152#1947C2211yescharacteristic, complemented
153#1928C2211yescharacteristic, complemented
154#1927C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1895C2211yescharacteristic
164#1895C2211yescharacteristic
165#1895C2211yescharacteristic, complemented
166#1895C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1894C2211yescharacteristic, complemented
169#1893C2211yescharacteristic
170#1893C2211yescharacteristic
171#1893C2211yescharacteristic
172#1893C2211yescharacteristic
173#1880C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1875C2211yescharacteristic
182#1875C2211yescharacteristic
183#1873C2211yescharacteristic
184#1873C2211yescharacteristic
185#1851C2211yescharacteristic
186#1851C2211yescharacteristic
187#1851C2211yescharacteristic
188#1851C2211yescharacteristic
189#1850C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1805C2211yescharacteristic, complemented
196#1804C2211yescharacteristic, complemented
197#1803C2211yescharacteristic, complemented
198#1802C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1736C2211yescharacteristic
202#1736C2211yescharacteristic
203#1728C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C2×#135—24no—
211C2×#135—42no—
212C2×#135—42no—
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16—24no—
222C22×M16—42no—
223C22×M16—42no—
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236#525—24no—
237#525—24no—
238#525—24no—
239#525D418yescomplemented
240C2×#123—21no—
241C2×#123—21no—
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—24no—
253C2×#121—24no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C22⋊C4—21no—
282C22×C22⋊C4D411yescharacteristic
283C22×C22⋊C4D411yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286#483—24no—
287#482—24no—
288#482—24no—
289#480—24no—
290#470—24no—
291#470—24no—
292#469—24no—
293#469—24no—
294#469—24no—
295#469—24no—
296#468—24no—
297#468—24no—
298#468—24no—
299#468—24no—
300#468—24no—
301#468—24no—
302#464—42no—
303#463—42no—
304#460—42no—
305#459—42no—
306#450—24no—
307#449—24no—
308#449—24no—
309#447—24no—
310#427—24no—
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#107C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×#106C2311yescharacteristic
319#423—42no—
320#423—42no—
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329#418—42no—
330#418—42no—
331#416—24no—
332#416—24no—
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365#407—24no—
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370#398—21no—
371#398—21no—
372#397—21no—
373#397—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
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#388—21no—
428#388—21no—
429#388—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#387—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#386—21no—
449#386—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#384C2311yescharacteristic
455#384C2311yescharacteristic
456#383—21no—
457#382—21no—
458#382C2311yescharacteristic
459#382C2311yescharacteristic
460#381—21no—
461#381—21no—
462#380—21no—
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#379—21no—
468#379—21no—
469#379—21no—
470C4×C4⋊C4—21no—
471C4×C4⋊C4—21no—
472C4×C4⋊C4—21no—
473C4×C4⋊C4—21no—
474C4×C4⋊C4—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⋊C4—21no—
484C4×C22⋊C4—21no—
485C4×C22⋊C4—21no—
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4D411yescharacteristic
489C4×C22⋊C4D411yescharacteristic
490C4×C22⋊C4D411yescharacteristic
491C4×C22⋊C4D411yescharacteristic
492C4×C22⋊C4C2311yescharacteristic
493C4×C22⋊C4C2311yescharacteristic
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496#376—21no—
497C2×#95—21no—
498C2×#95D411yescharacteristic
499C2×#95D411yescharacteristic
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#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C25C2×D411yescharacteristic
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41C2×D414yes—
538C22×Q8C2411yescharacteristic
539C22×Q8C2411yescharacteristic
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—22no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—22no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—44no—
562C22×D4—82no—
563C22×D4—82no—
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4C2×D411yescharacteristic
578C23×C4C2×D411yescharacteristic
579C23×C4C2×D411yescharacteristic
580C23×C4C2×D411yescharacteristic
581C23×C4C2×D411yescharacteristic
582C23×C4C2×D411yescharacteristic
583C23×C4C2×D411yescharacteristic
584C23×C4C2×D414yes—
585C23×C4#4114yes—
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589#135—416no—
590C2×Q16—22no—
591C2×Q16—22no—
592C2×Q16—41no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×D8—22no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×M16—22no—
615C2×M16—22no—
616C2×M16—22no—
617C2×M16—22no—
618C2×M16—22no—
619C2×M16—22no—
620C2×M16—22no—
621C2×M16—22no—
622C2×M16—22no—
623C2×M16—22no—
624C2×M16—41no—
625C2×M16—41no—
626C2×M16—41no—
627C2×M16—41no—
628C2×M16—41no—
629C2×M16—41no—
630C2×M16—41no—
631C2×M16—41no—
632C2×M16—416no—
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—22no—
636C22×C8—22no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647#127—41no—
648#127—41no—
649#127—41no—
650#127—41no—
651#124—41no—
652#124—41no—
653#124—41no—
654#124—41no—
655#123—28no—
656#123—44no—
657C22⋊Q8—22no—
658C22⋊Q8—22no—
659C22⋊Q8—22no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8C2×D414yes—
664C22⋊Q8C2×D414yes—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—44no—
680#121—44no—
681#121—82no—
682#121—82no—
683#121—82no—
684#121—82no—
685#121C2×D414yes—
686#121C2×D414yes—
687#120—28no—
688#120—44no—
689#120—44no—
690#120—44no—
691C4×Q8—41no—
692C4×Q8—41no—
693C4×Q8—41no—
694C4×Q8—41no—
695C4×D4—28no—
696C4×D4—28no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—44no—
702C4×D4—44no—
703C4×D4—44no—
704C4×D4—44no—
705#117—22no—
706#117—22no—
707#117—22no—
708#117—41no—
709#117—41no—
710#117—41no—
711#117—41no—
712#117C2×D414yes—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—22no—
716C2×C4⋊C4—22no—
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⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—44no—
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—21no—
796C2×C42—21no—
797C2×C42—21no—
798C2×C42—21no—
799C2×C42—21no—
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—41no—
804C2×C42—41no—
805C2×C42—41no—
806C2×C42—41no—
807C2×C42C2×D411yescharacteristic
808C2×C42C2×D411yescharacteristic
809C2×C42C2×D411yescharacteristic
810C2×C42C2×D411yescharacteristic
811C2×C42C2411yescharacteristic
812C2×C42C2411yescharacteristic
813C2×C42C2411yescharacteristic
814C2×C42C2411yescharacteristic
815#107—22no—
816#107—22no—
817#107—22no—
818#107—22no—
819#106—22no—
820#106—22no—
821#106—22no—
822#106—22no—
823C4⋊C8—22no—
824C4⋊C8—22no—
825C4⋊C8—22no—
826C4⋊C8—22no—
827C4⋊C8—41no—
828C4⋊C8—41no—
829C4⋊C8—41no—
830C4⋊C8—41no—
831#103—22no—
832#103—22no—
833#103—22no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—41no—
838#103—41no—
839#103—41no—
840#103—41no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863C22⋊C8—22no—
864C22⋊C8—22no—
865C22⋊C8—22no—
866C22⋊C8—22no—
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#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#95C2×D411yescharacteristic
892#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—41no—
904C24—41no—
905C24—41no—
906C24—41no—
907C24—41no—
908C24—41no—
909C24—42no—
910C24—42no—
911C24—42no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24#12114yes—
917C24C22×D411yescharacteristic
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920#41—44no—
921#41—44no—
922#41—44no—
923#41—44no—
924#41—82no—
925#41—82no—
926#41—82no—
927#41—82no—
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×Q8C22×D412yes—
940C2×D4—24no—
941C2×D4—24no—
942C2×D4—24no—
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—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—44no—
967C2×D4—44no—
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—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—42no—
987C2×D4—42no—
988C2×D4—42no—
989C2×D4—42no—
990C2×D4—82no—
991C2×D4—82no—
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—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—816no—
1013C2×D4C22×D412yes—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—24no—
1030C22×C4—22no—
1031C22×C4—22no—
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—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—42no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4#12114yes—
1076C22×C4#12114yes—
1077C22×C4#12114yes—
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D412yes—
1088C22×C4C22×D412yes—
1089C22×C4C22×D412yes—
1090C22×C4C22×D411yescharacteristic
1091C22×C4C22×D411yescharacteristic
1092C22×C4C2×#4112yes—
1093C22×C4C2×#4112yes—
1094C22×C4C2×#4112yes—
1095C22×C4C2511yescharacteristic
1096Q16—44no—
1097SD16—44no—
1098SD16—44no—
1099SD16—82no—
1100SD16—82no—
1101D8—44no—
1102D8—82no—
1103D8—82no—
1104M16—44no—
1105M16—44no—
1106M16—44no—
1107M16—44no—
1108M16—82no—
1109M16—82no—
1110C2×C8—28no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—44no—
1134C2×C8H(5,𝔽2)12yes—
1135C2×C8H(5,𝔽2)12yes—
1136C4⋊C4—24no—
1137C4⋊C4—24no—
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—21no—
1155C4⋊C4—21no—
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⋊C4C22×D412yes—
1170C4⋊C4C22×D412yes—
1171C22⋊C4—24no—
1172C22⋊C4—24no—
1173C22⋊C4—24no—
1174C22⋊C4—24no—
1175C22⋊C4—24no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
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—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C42—24no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—21no—
1230C42—41no—
1231C42—41no—
1232C42—41no—
1233C42—41no—
1234C42—42no—
1235C42—42no—
1236C42—42no—
1237C42—81no—
1238C42—81no—
1239C42—81no—
1240C42—81no—
1241C42—81no—
1242C42—81no—
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—22no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
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—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—84no—
1293C23—84no—
1294C23—84no—
1295C23—82no—
1296C23—82no—
1297C23—82no—
1298C23—82no—
1299C23—162no—
1300C23—162no—
1301C23—162no—
1302C23—162no—
1303C23C2×#12112yes—
1304C23C2×#12112yes—
1305C23C2×#12112yes—
1306C23C23×D411yescharacteristic
1307Q8—22no—
1308Q8—22no—
1309Q8—41no—
1310Q8—41no—
1311Q8—41no—
1312Q8—41no—
1313Q8—41no—
1314Q8—41no—
1315D4—22no—
1316D4—22no—
1317D4—48no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—84no—
1333D4—84no—
1334D4—84no—
1335D4—84no—
1336D4—84no—
1337D4—84no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—162no—
1343D4—162no—
1344D4—162no—
1345D4—162no—
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—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—44no—
1390C2×C4—44no—
1391C2×C4—44no—
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—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—82no—
1426C2×C4—82no—
1427C2×C4—84no—
1428C2×C4—84no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4—84no—
1432C2×C4—162no—
1433C2×C4—162no—
1434C2×C4C2×#12112yes—
1435C2×C4C2×#12112yes—
1436C2×C4C2×#12112yes—
1437C2×C4#57512yes—
1438C2×C4#57512yes—
1439C2×C4C23×D411yescharacteristic
1440C2×C4C22×#4111yescharacteristic
1441C2×C4C2×H(5,𝔽2)11yescharacteristic
1442C2×C4C2×H(5,𝔽2)11yescharacteristic
1443C2×C4#58511yescharacteristic
1444C2×C4#58511yescharacteristic
1445C8—22no—
1446C8—22no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
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—42no—
1475C22—42no—
1476C22—42no—
1477C22—88no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—168no—
1504C22C22×#12111yescharacteristic
1505C22#349611yescharacteristic
1506C22#349611yescharacteristic
1507C22C2×#57511yescharacteristic
1508C22C2×#57511yescharacteristic
1509C22#358511yescharacteristic
1510C22#358511yescharacteristic
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—22no—
1515C4—22no—
1516C4—42no—
1517C4—42no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—42no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4#348411yescharacteristic
1535C4#348511yescharacteristic
1536C4#350511yescharacteristic
1537C4#350511yescharacteristic
1538C2—42no—
1539C2—42no—
1540C2—42no—
1541C2—82no—
1542C2—161no—
1543C2—161no—
1544C2—161no—
1545C2#3535811yescharacteristic
1546C2#6041511yescharacteristic
1547C2#6042611yescharacteristic
1548C2#6229811yescharacteristic
1549C2#6230111yescharacteristic
1550C2#6230411yescharacteristic
1551C2#6230511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3194C2semidirect
2. C2×#3054C2semidirect
3. #35078C2semidirect
4. #34223C2semidirect
5. #28582C2semidirect
6. #28580C2semidirect
7. #28579C2semidirect
8. #28578C2semidirect
9. #25231C2semidirect
10. #25227C2semidirect
11. #25223C2semidirect
12. #25219C2semidirect
13. #25105C2semidirect
14. #25101C2semidirect
15. #25097C2semidirect
16. #25093C2semidirect
17. #24761C2semidirect
18. #24758C2semidirect
19. #24757C2semidirect
20. #24756C2semidirect
21. #24587C2semidirect
22. #24585C2semidirect
23. #24537C2semidirect
24. #24535C2semidirect
25. #24486C2semidirect
26. #24484C2semidirect
27. #24364C2semidirect
28. #24362C2semidirect
29. #21766C2semidirect
30. #20973C2semidirect
31. #20837C2semidirect
32. C22×#135C22semidirect
44. C2×#470C22semidirect
48. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#464C22semidirect
56. C2×#460C22semidirect
57. C2×#463C22semidirect
58. C2×#459C22semidirect
63. C2×#427C22semidirect
64. C2×#423C22semidirect
65. C2×#423C22semidirect
68. C2×#416C22semidirect
69. C2×#416C22semidirect
97. #2347C22semidirect
98. #2346C22semidirect
99. #2341C22semidirect
100. #2339C22semidirect
106. C4×C22⋊Q8C22semidirect
107. C4×C22⋊Q8C22semidirect
108. C4×#121C22semidirect
109. C4×#121C22semidirect
113. #2085C22semidirect
114. #2085C22semidirect
115. #2084C22semidirect
116. #2083C22semidirect
117. #2074C22semidirect
118. #2073C22semidirect
119. #2072C22semidirect
120. #2071C22semidirect
121. #2068C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2067C22semidirect
125. #2066C22semidirect
126. #2065C22semidirect
127. #2065C22semidirect
128. #2065C22semidirect
129. #2056C22semidirect
130. #2055C22semidirect
131. #2055C22semidirect
132. #2055C22semidirect
133. #2055C22semidirect
134. #2054C22semidirect
135. #2054C22semidirect
136. #2054C22semidirect
137. #2042C22semidirect
138. #2042C22semidirect
139. #2041C22semidirect
140. #2041C22semidirect
141. #2015C22semidirect
142. #2014C22semidirect
143. #2012C22semidirect
144. #2011C22semidirect
145. #1983C22semidirect
146. #1983C22semidirect
147. #1982C22semidirect
148. #1982C22semidirect
149. #1949C22semidirect
150. #1949C22semidirect
151. #1948C22semidirect
152. #1947C22semidirect
153. #1928C22semidirect
154. #1927C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
157. #1926C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
165. #1895C22semidirect
166. #1895C22semidirect
167. #1894C22semidirect
168. #1894C22semidirect
173. #1880C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1878C22semidirect
180. #1877C22semidirect
189. #1850C22semidirect
190. #1850C22semidirect
191. #1850C22semidirect
192. #1850C22semidirect
193. #1825C22semidirect
194. #1825C22semidirect
195. #1805C22semidirect
196. #1804C22semidirect
197. #1803C22semidirect
198. #1802C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
203. #1728C22semidirect
204. #1728C22semidirect
239. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31942
C2×#30542
#350782
#342232
#285822
#285802
#285792
#285782
#252312
#252272
#252232
#252192
#251052
#251012
#250972
#250932
#247612
#247582
#247572
#247562
#245872
#245852
#245372
#245352
#244862
#244842
#243642
#243622
#217662
#209732
#208372