Finite Group Databasebeta

← #6669083

Subgroups — #6669083

Order 512.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3266C211yesmaximal, characteristic
2C2×#3044C211yesmaximal, characteristic, complemented
3#42943C211yesmaximal, characteristic
4#35723C211yesmaximal, characteristic, complemented
5#33015C211yesmaximal, characteristic, complemented
6#31221C211yesmaximal, characteristic, complemented
7#31215C211yesmaximal, characteristic, complemented
8#31012C211yesmaximal, characteristic, complemented
9#30996C211yesmaximal, characteristic, complemented
10#30764C211yesmaximal, characteristic, complemented
11#30764C211yesmaximal, characteristic, complemented
12#30604C211yesmaximal, characteristic, complemented
13#30600C211yesmaximal, characteristic, complemented
14#29787C211yesmaximal, characteristic, complemented
15#29633C211yesmaximal, characteristic, complemented
16#28359C211yesmaximal, characteristic, complemented
17#28102C211yesmaximal, characteristic, complemented
18#26181C211yesmaximal, characteristic, complemented
19#26177C211yesmaximal, characteristic, complemented
20#25173C211yesmaximal, characteristic, complemented
21#25161C211yesmaximal, characteristic, complemented
22#24741C211yesmaximal, characteristic, complemented
23#24736C211yesmaximal, characteristic, complemented
24#24534C211yesmaximal, characteristic, complemented
25#24361C211yesmaximal, characteristic, complemented
26#24357C211yesmaximal, characteristic, complemented
27#24357C211yesmaximal, characteristic, complemented
28#24037C211yesmaximal, characteristic
29#23856C211yesmaximal, characteristic, complemented
30#22445C211yesmaximal, characteristic, complemented
31#22072C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C23×Q16C2211yescharacteristic, complemented
34C23×SD16C2211yescharacteristic
35C2×D4×Q8C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#519C2211yescharacteristic, complemented
39#3266—28no—
40C2×#497C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#468C2211yescharacteristic
43C2×#467C2211yescharacteristic
44#3044—28no—
45C2×#464C2211yescharacteristic
46C2×#464C2211yescharacteristic
47C2×#464C2211yescharacteristic
48C2×#464C2211yescharacteristic
49C2×#464C2211yescharacteristic
50C2×#464C2211yescharacteristic
51C2×#464C2211yescharacteristic
52C2×#462C2211yescharacteristic, complemented
53C2×#462C2211yescharacteristic, complemented
54C2×#462C2211yescharacteristic, complemented
55C2×#462C2211yescharacteristic, complemented
56C2×#461C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#451C2211yescharacteristic
59C2×#451C2211yescharacteristic
60C2×#451C2211yescharacteristic
61C2×#451C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#441C2211yescharacteristic, complemented
65C2×#440C2211yescharacteristic
66C2×C4×Q16C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic
68C2×#424C2211yescharacteristic, complemented
69C2×#419C2211yescharacteristic, complemented
70C2×#416C2211yescharacteristic
71#2814—21no—
72#2701—21no—
73#2701—21no—
74#2697—21no—
75#2697—21no—
76#2663—21no—
77#2626—21no—
78#2625—21no—
79#2625C2211yescharacteristic, complemented
80#2624C2211yescharacteristic
81#2561—21no—
82#2545C2211yescharacteristic
83#2545C2211yescharacteristic
84#2499—21no—
85#2499C2211yescharacteristic, complemented
86#2485—21no—
87#2485C2211yescharacteristic
88#2447C2211yescharacteristic
89#2447C2211yescharacteristic
90#2446—21no—
91#2446—21no—
92#2446C2211yescharacteristic, complemented
93#2446C2211yescharacteristic, complemented
94#2436C2211yescharacteristic
95#2435C2211yescharacteristic
96#2435C2211yescharacteristic
97#2429C2211yescharacteristic
98#2429C2211yescharacteristic
99#2423—21no—
100#2423C2211yescharacteristic
101#2421—21no—
102#2421C2211yescharacteristic
103#2409C2211yescharacteristic
104#2395—21no—
105#2395C2211yescharacteristic
106#2351C2211yescharacteristic, complemented
107Q8×C4⋊C4C2211yescharacteristic, complemented
108#2341C2211yescharacteristic
109Q8×C22⋊C4C2211yescharacteristic
110Q8×C22⋊C4C2211yescharacteristic
111Q8×C22⋊C4C2211yescharacteristic, complemented
112#2097C2211yescharacteristic, complemented
113#2095C2211yescharacteristic, complemented
114#2087C2211yescharacteristic, complemented
115#2086C2211yescharacteristic, complemented
116#2073C2211yescharacteristic
117#2071C2211yescharacteristic
118#2068C2211yescharacteristic, complemented
119#2068C2211yescharacteristic, complemented
120#2067C2211yescharacteristic
121#2066C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2065C2211yescharacteristic
124#2056C2211yescharacteristic, complemented
125#2056C2211yescharacteristic, complemented
126#2055C2211yescharacteristic
127#2055C2211yescharacteristic
128#2055C2211yescharacteristic
129#2055C2211yescharacteristic
130#2043C2211yescharacteristic, complemented
131#2043C2211yescharacteristic, complemented
132#2042C2211yescharacteristic
133#2042C2211yescharacteristic
134#2042C2211yescharacteristic
135#2042C2211yescharacteristic
136#2036C2211yescharacteristic
137#2036C2211yescharacteristic
138#2035C2211yescharacteristic
139#2035C2211yescharacteristic
140#2016C2211yescharacteristic, complemented
141#2016C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic
145#2015C2211yescharacteristic
146#2015C2211yescharacteristic
147#2015C2211yescharacteristic
148#2015C2211yescharacteristic
149#2015C2211yescharacteristic
150#2001C2211yescharacteristic
151#2001C2211yescharacteristic
152#1973C2211yescharacteristic
153#1971C2211yescharacteristic, complemented
154#1969C2211yescharacteristic, complemented
155#1968C2211yescharacteristic
156#1959C2211yescharacteristic
157#1958C2211yescharacteristic
158#1940C2211yescharacteristic, complemented
159#1939C2211yescharacteristic, complemented
160#1935C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1924C2211yescharacteristic
163#1923C2211yescharacteristic
164#1917C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic
169#1892C2211yescharacteristic, complemented
170#1880C2211yescharacteristic
171#1880C2211yescharacteristic
172#1880C2211yescharacteristic
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic
175#1880C2211yescharacteristic
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1869C2211yescharacteristic
185#1865C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1864C2211yescharacteristic
188#1863C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic
191#1850C2211yescharacteristic
192#1850C2211yescharacteristic
193#1850C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1818C2211yescharacteristic, complemented
196#1809C2211yescharacteristic, complemented
197#1805C2211yescharacteristic, complemented
198#1803C2211yescharacteristic, complemented
199#1788C2211yescharacteristic
200#1787C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1786C2211yescharacteristic
204#1753C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×#137—42no—
211C2×#137—42no—
212C2×#137D418yes—
213C22×Q16—24no—
214C22×Q16—42no—
215C22×Q16—42no—
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×Q16C2311yescharacteristic
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×Q16C2311yescharacteristic
225C22×SD16—24no—
226C22×SD16—42no—
227C22×SD16—42no—
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237D4×Q8—24no—
238D4×Q8—42no—
239#546—24no—
240#546—42no—
241#536—24no—
242#536—42no—
243C2×C4⋊Q8—21no—
244C2×C4⋊Q8C2311yescharacteristic
245C2×C4⋊Q8C2311yescharacteristic
246C2×C4⋊Q8C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121C2311yescharacteristic
266C2×#120—21no—
267#519—24no—
268#519—42no—
269C2×C4×Q8—21no—
270C2×C4×Q8—21no—
271C2×C4×Q8C2311yescharacteristic
272C2×C4×Q8C2311yescharacteristic
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×Q8C2311yescharacteristic
277C2×C4×Q8C2311yescharacteristic
278C2×C4×Q8C2311yescharacteristic
279C2×C4×Q8C2311yescharacteristic
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×#117—21no—
284C2×#117—21no—
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C22⋊C4—21no—
288#497—24no—
289#482—42no—
290#468—24no—
291#467—24no—
292#464—24no—
293#464—24no—
294#464—24no—
295#464—24no—
296#464—24no—
297#464—42no—
298#464—42no—
299#462—24no—
300#462—24no—
301#462—24no—
302#462—24no—
303#461—24no—
304#452—24no—
305#451—24no—
306#451—42no—
307#451—42no—
308#451—42no—
309#450—24no—
310#448—24no—
311#441—42no—
312#440—24no—
313C4×Q16—42no—
314#435—24no—
315C2×#107C2311yescharacteristic
316C2×#107C2311yescharacteristic
317C2×#107C2311yescharacteristic
318C2×#106C2311yescharacteristic
319C2×#106C2311yescharacteristic
320#424—24no—
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328#419—24no—
329#416—24no—
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×#97C2311yescharacteristic
370C2×#97C2311yescharacteristic
371C2×C4×C8C2311yescharacteristic
372#400—21no—
373#400—21no—
374#400—21no—
375#400—21no—
376#400D411yescharacteristic
377#399—21no—
378#399—21no—
379#399D411yescharacteristic
380#398—21no—
381#398—21no—
382#398—21no—
383#398—21no—
384#398—21no—
385#398—21no—
386#398D411yescharacteristic
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#397—21no—
398#397D411yescharacteristic
399#397D411yescharacteristic
400#397D411yescharacteristic
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#395—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394D411yescharacteristic
416#394D411yescharacteristic
417#393—21no—
418#393—21no—
419#393—21no—
420#391—21no—
421#391—21no—
422#391—21no—
423#391—21no—
424#391—21no—
425#391—21no—
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#391C2311yescharacteristic
429#391C2311yescharacteristic
430#391C2311yescharacteristic
431#391C2311yescharacteristic
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#389—21no—
443#389—21no—
444#389—21no—
445#389—21no—
446#389—21no—
447#389—21no—
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#388—21no—
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#387—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#387—21no—
468#387—21no—
469#387—21no—
470#387—21no—
471#387—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#385—21no—
476#385—21no—
477#385—21no—
478#384—21no—
479#384C2311yescharacteristic
480#382—21no—
481#382C2311yescharacteristic
482#381—21no—
483#381—21no—
484#380—21no—
485#380—21no—
486#380—21no—
487#380—21no—
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#379—21no—
493#379—21no—
494#379—21no—
495#379—21no—
496C4×C4⋊C4—21no—
497C4×C4⋊C4—21no—
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41C2×D414yes—
534C22×Q8—21no—
535C22×Q8—21no—
536C22×Q8—21no—
537C22×Q8—22no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—22no—
541C22×Q8—22no—
542C22×Q8—22no—
543C22×Q8—22no—
544C22×Q8—22no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8—41no—
552C22×Q8—41no—
553C22×Q8—41no—
554C22×Q8C2×D414yes—
555C22×Q8C2411yescharacteristic
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×Q8C2411yescharacteristic
561C22×D4—21no—
562C22×D4—22no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4C2×D411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580#137—416no—
581C2×Q16—22no—
582C2×Q16—22no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—22no—
586C2×Q16—22no—
587C2×Q16—22no—
588C2×Q16—22no—
589C2×Q16—22no—
590C2×Q16—22no—
591C2×Q16—22no—
592C2×Q16—41no—
593C2×Q16—41no—
594C2×Q16—41no—
595C2×Q16—41no—
596C2×Q16—41no—
597C2×Q16—41no—
598C2×Q16—41no—
599C2×Q16—41no—
600C2×Q16—41no—
601C2×Q16—41no—
602C2×Q16—41no—
603C2×Q16—41no—
604C2×Q16—41no—
605C2×Q16—41no—
606C2×Q16—416no—
607C2×Q16C2×D414yes—
608C2×Q16C2×D414yes—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—416no—
626C2×SD16C2×D414yes—
627C2×SD16C2×D414yes—
628C2×M16—41no—
629C2×M16—41no—
630C2×M16C2×D414yes—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C4⋊Q8—22no—
646C4⋊Q8—22no—
647C4⋊Q8—22no—
648C4⋊Q8—41no—
649C4⋊Q8—41no—
650C4⋊Q8—41no—
651C4⋊Q8—44no—
652#124—22no—
653#124—22no—
654#124—22no—
655#124—41no—
656#124—41no—
657#124—41no—
658#124—41no—
659#124—41no—
660#124—41no—
661#124—41no—
662#123—44no—
663#123—44no—
664#123—44no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—22no—
668C22⋊Q8—22no—
669C22⋊Q8—44no—
670C22⋊Q8—44no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—44no—
674C22⋊Q8—44no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678C22⋊Q8—41no—
679#121—22no—
680#121—22no—
681#121—44no—
682#120—44no—
683C4×Q8—22no—
684C4×Q8—22no—
685C4×Q8—22no—
686C4×Q8—22no—
687C4×Q8—22no—
688C4×Q8—22no—
689C4×Q8—22no—
690C4×Q8—41no—
691C4×Q8—41no—
692C4×Q8—41no—
693C4×Q8—41no—
694C4×Q8—41no—
695C4×Q8—41no—
696C4×Q8—41no—
697C4×Q8—41no—
698C4×Q8—41no—
699C4×Q8—41no—
700C4×Q8—41no—
701C4×Q8—44no—
702C4×Q8—44no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—41no—
707C4×D4—44no—
708#117—22no—
709#117—22no—
710#117—22no—
711#117—22no—
712#117—44no—
713#117—44no—
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—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
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—44no—
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C42—21no—
799C2×C42—21no—
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—21no—
804C2×C42—21no—
805C2×C42—21no—
806C2×C42—21no—
807C2×C42—21no—
808C2×C42C2411yescharacteristic
809C2×C42C2411yescharacteristic
810C2×C42C2411yescharacteristic
811C2×C42C2411yescharacteristic
812C2×C42C2411yescharacteristic
813#107—22no—
814#107—41no—
815#107—41no—
816#106—41no—
817#106—41no—
818C4⋊C8—22no—
819C4⋊C8—22no—
820C4⋊C8—22no—
821C4⋊C8—22no—
822C4⋊C8—22no—
823C4⋊C8—41no—
824C4⋊C8—41no—
825#103—22no—
826#103—22no—
827#103—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—41no—
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#103—41no—
847#103—41no—
848#103—41no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859C22⋊C8—22no—
860C22⋊C8—22no—
861C22⋊C8—22no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864#97—22no—
865#97—41no—
866C4×C8—41no—
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#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901#95C2×D411yescharacteristic
902#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909C24—21no—
910C24—21no—
911C24—42no—
912C24—42no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920#41—44no—
921#41—44no—
922#41—82no—
923#41—82no—
924C2×Q8—24no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—28no—
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—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—42no—
958C2×Q8—42no—
959C2×Q8—42no—
960C2×Q8—42no—
961C2×Q8—42no—
962C2×Q8—44no—
963C2×Q8—44no—
964C2×Q8—44no—
965C2×Q8—44no—
966C2×Q8—44no—
967C2×Q8—42no—
968C2×Q8—44no—
969C2×Q8—81no—
970C2×Q8—81no—
971C2×Q8—82no—
972C2×Q8—82no—
973C2×Q8—82no—
974C2×Q8—82no—
975C2×Q8—82no—
976C2×Q8C22×D412yes—
977C2×Q8C22×D412yes—
978C2×Q8C22×D412yes—
979C2×Q8H(5,𝔽2)12yes—
980C2×Q8H(5,𝔽2)12yes—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—24no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—41no—
996C2×D4—42no—
997C2×D4—44no—
998C2×D4—42no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—82no—
1002C2×D4—82no—
1003C2×D4—82no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4C22×D412yes—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—24no—
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—24no—
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—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D412yes—
1061C22×C4H(5,𝔽2)12yes—
1062C22×C4C2511yescharacteristic
1063Q16—28no—
1064Q16—44no—
1065Q16—44no—
1066Q16—44no—
1067Q16—44no—
1068Q16—44no—
1069Q16—82no—
1070Q16—82no—
1071Q16—82no—
1072SD16—28no—
1073SD16—44no—
1074SD16—44no—
1075SD16—44no—
1076SD16—44no—
1077SD16—82no—
1078M16—44no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—44no—
1102C2×C8—44no—
1103C2×C8C22×D412yes—
1104C2×C8C22×D412yes—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—42no—
1207C42—42no—
1208C42—42no—
1209C42—42no—
1210C42—42no—
1211C42—42no—
1212C42—42no—
1213C42—42no—
1214C42—81no—
1215C42—81no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—22no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—84no—
1243C23—84no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23D4212yes—
1250C23#57812yes—
1251C23C23×D411yescharacteristic
1252Q8—22no—
1253Q8—22no—
1254Q8—22no—
1255Q8—22no—
1256Q8—22no—
1257Q8—22no—
1258Q8—22no—
1259Q8—48no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—84no—
1277Q8—84no—
1278Q8#53414yes—
1279D4—22no—
1280D4—22no—
1281D4—44no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—84no—
1289D4—84no—
1290D4—162no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—22no—
1322C2×C4—21no—
1323C2×C4—22no—
1324C2×C4—21no—
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—48no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
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—84no—
1378C2×C4—84no—
1379C2×C4—84no—
1380C2×C4—162no—
1381C2×C4D4212yes—
1382C2×C4C23×D411yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4#58511yescharacteristic
1387C2×C4#58511yescharacteristic
1388C8—22no—
1389C8—22no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—168no—
1425C22C2×D4211yescharacteristic
1426C22#348811yescharacteristic
1427C22#348811yescharacteristic
1428C22C2×#57811yescharacteristic
1429C22#358411yescharacteristic
1430C22#358611yescharacteristic
1431C22#358611yescharacteristic
1432C4—22no—
1433C4—24no—
1434C4—41no—
1435C4—42no—
1436C4—42no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4C2×#53411yescharacteristic
1459C4#348511yescharacteristic
1460C4#353411yescharacteristic
1461C4#353411yescharacteristic
1462C2—42no—
1463C2—42no—
1464C2—82no—
1465C2—161no—
1466C2#3764611yescharacteristic
1467C2#6107611yescharacteristic
1468C2#6109611yescharacteristic
1469C2#6201311yescharacteristic
1470C2#6202011yescharacteristic
1471C2#6206511yescharacteristic
1472C2#6207711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#546C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3044C2semidirect
4. #35723C2semidirect
5. #33015C2semidirect
6. #31221C2semidirect
7. #31215C2semidirect
8. #31012C2semidirect
9. #30996C2semidirect
10. #30764C2semidirect
11. #30764C2semidirect
12. #30604C2semidirect
13. #30600C2semidirect
14. #29787C2semidirect
15. #29633C2semidirect
16. #28359C2semidirect
17. #28102C2semidirect
18. #26181C2semidirect
19. #26177C2semidirect
20. #25173C2semidirect
21. #25161C2semidirect
22. #24741C2semidirect
23. #24736C2semidirect
24. #24534C2semidirect
25. #24361C2semidirect
26. #24357C2semidirect
27. #24357C2semidirect
29. #23856C2semidirect
30. #22445C2semidirect
31. #22072C2semidirect
33. C23×Q16C22semidirect
38. C2×#519C22semidirect
52. C2×#462C22semidirect
53. C2×#462C22semidirect
54. C2×#462C22semidirect
55. C2×#462C22semidirect
61. C2×#451C22semidirect
64. C2×#441C22semidirect
66. C2×C4×Q16C22semidirect
68. C2×#424C22semidirect
69. C2×#419C22semidirect
79. #2625C22semidirect
85. #2499C22semidirect
92. #2446C22semidirect
93. #2446C22semidirect
106. #2351C22semidirect
107. Q8×C4⋊C4C22semidirect
111. Q8×C22⋊C4C22semidirect
112. #2097C22semidirect
113. #2095C22semidirect
114. #2087C22semidirect
115. #2086C22semidirect
118. #2068C22semidirect
119. #2068C22semidirect
121. #2066C22semidirect
122. #2066C22semidirect
124. #2056C22semidirect
125. #2056C22semidirect
130. #2043C22semidirect
131. #2043C22semidirect
140. #2016C22semidirect
141. #2016C22semidirect
142. #2016C22semidirect
143. #2016C22semidirect
153. #1971C22semidirect
154. #1969C22semidirect
158. #1940C22semidirect
159. #1939C22semidirect
160. #1935C22semidirect
161. #1935C22semidirect
164. #1917C22semidirect
165. #1917C22semidirect
169. #1892C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1878C22semidirect
179. #1878C22semidirect
180. #1878C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
185. #1865C22semidirect
186. #1865C22semidirect
188. #1863C22semidirect
189. #1863C22semidirect
193. #1850C22semidirect
194. #1825C22semidirect
195. #1818C22semidirect
196. #1809C22semidirect
197. #1805C22semidirect
198. #1803C22semidirect
200. #1787C22semidirect
201. #1787C22semidirect
204. #1753C22semidirect

Maximal subgroups

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

subgroupindex
C2×#32662
C2×#30442
#429432
#357232
#330152
#312212
#312152
#310122
#309962
#307642
#306042
#306002
#297872
#296332
#283592
#281022
#261812
#261772
#251732
#251612
#247412
#247362
#245342
#243612
#243572
#240372
#238562
#224452
#220722