Finite Group Databasebeta

← #6682899

Subgroups — #6682899

Order 512.

2173 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3323C211yesmaximal, characteristic, complemented
2C2×#3322C211yesmaximal, characteristic, complemented
3#42674C211yesmaximal, characteristic, complemented
4#35728C211yesmaximal, characteristic, complemented
5#32919C211yesmaximal, characteristic, complemented
6#30889C211yesmaximal, characteristic, complemented
7#30887C211yesmaximal, characteristic, complemented
8#30863C211yesmaximal, characteristic, complemented
9#30861C211yesmaximal, characteristic, complemented
10#30644C211yesmaximal, characteristic, complemented
11#30642C211yesmaximal, characteristic, complemented
12#30580C211yesmaximal, characteristic, complemented
13#30578C211yesmaximal, characteristic, complemented
14#30251C211yesmaximal, characteristic, complemented
15#29763C211yesmaximal, characteristic, complemented
16#26378C211yesmaximal, characteristic, complemented
17#26370C211yesmaximal, characteristic, complemented
18#25976C211yesmaximal, characteristic, complemented
19#25968C211yesmaximal, characteristic, complemented
20#25539C211yesmaximal, characteristic, complemented
21#25537C211yesmaximal, characteristic, complemented
22#25160C211yesmaximal, characteristic, complemented
23#25152C211yesmaximal, characteristic, complemented
24#24794C211yesmaximal, characteristic, complemented
25#24792C211yesmaximal, characteristic, complemented
26#24448C211yesmaximal, characteristic, complemented
27#24440C211yesmaximal, characteristic, complemented
28#24436C211yesmaximal, characteristic, complemented
29#24428C211yesmaximal, characteristic, complemented
30#22179C211yesmaximal, characteristic, complemented
31#20878C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#520C2211yescharacteristic
38#3323—28no—
39#3322—28no—
40C2×#488C2211yescharacteristic, complemented
41C2×#488C2211yescharacteristic, complemented
42C2×#481C2211yescharacteristic, complemented
43C2×#485C2211yescharacteristic, complemented
44C2×#485C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic
47C2×#478C2211yescharacteristic
48C2×#470C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic
59C2×#463C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#450C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×C4×SD16C2211yescharacteristic
67C2×C4×D8C2211yescharacteristic
68C2×#436C2211yescharacteristic, complemented
69C2×#436C2211yescharacteristic, complemented
70C2×#428C2211yescharacteristic, complemented
71C2×#417C2211yescharacteristic
72C2×#418C2211yescharacteristic
73C2×#418C2211yescharacteristic
74C2×#416C2211yescharacteristic
75#2813—21no—
76#2727—21no—
77#2725—21no—
78#2707—21no—
79#2705—21no—
80#2630—21no—
81#2624—21no—
82#2620C2211yescharacteristic, complemented
83#2619C2211yescharacteristic
84#2618—21no—
85#2548C2211yescharacteristic
86#2543—21no—
87#2536C2211yescharacteristic
88#2485—21no—
89#2454C2211yescharacteristic, complemented
90#2453C2211yescharacteristic, complemented
91#2441C2211yescharacteristic, complemented
92#2441C2211yescharacteristic, complemented
93#2427C2211yescharacteristic, complemented
94#2426C2211yescharacteristic
95#2426C2211yescharacteristic
96#2426C2211yescharacteristic, complemented
97#2424—21no—
98#2424—21no—
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic
101#2415C2211yescharacteristic
102#2415C2211yescharacteristic, complemented
103#2414C2211yescharacteristic
104#2414C2211yescharacteristic, complemented
105#2411—21no—
106#2411—21no—
107#2408—21no—
108#2392C2211yescharacteristic
109C2×#394—21no—
110#2349C2211yescharacteristic
111D4×C22⋊C4C2211yescharacteristic
112D4×C22⋊C4C2211yescharacteristic
113#2316C2211yescharacteristic, complemented
114#2097C2211yescharacteristic, complemented
115#2094C2211yescharacteristic, complemented
116#2093C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2085C2211yescharacteristic, complemented
119#2085C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2066C2211yescharacteristic, complemented
125#2065C2211yescharacteristic, complemented
126#2065C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2059C2211yescharacteristic, complemented
129#2059C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2042C2211yescharacteristic, complemented
132#2041C2211yescharacteristic
133#2041C2211yescharacteristic
134#2036C2211yescharacteristic, complemented
135#2036C2211yescharacteristic, complemented
136#2036C2211yescharacteristic, complemented
137#2035C2211yescharacteristic, complemented
138#2034C2211yescharacteristic
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic
142#2025C2211yescharacteristic, complemented
143#2025C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2014C2211yescharacteristic
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2011C2211yescharacteristic
150#2001C2211yescharacteristic, complemented
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1970C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1942C2211yescharacteristic, complemented
157#1941C2211yescharacteristic, complemented
158#1923C2211yescharacteristic, complemented
159#1923C2211yescharacteristic, complemented
160#1916C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic, complemented
167#1878C2211yescharacteristic, complemented
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic
172#1875C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1872C2211yescharacteristic, complemented
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic
178#1869C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1865C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1864C2211yescharacteristic
183#1864C2211yescharacteristic
184#1864C2211yescharacteristic
185#1864C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic
190#1862C2211yescharacteristic
191#1862C2211yescharacteristic
192#1854C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1851C2211yescharacteristic, complemented
196#1809C2211yescharacteristic, complemented
197#1809C2211yescharacteristic, complemented
198#1803C2211yescharacteristic, complemented
199#1802C2211yescharacteristic
200#1798C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203C2×#340C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#553—24no—
222#553—42no—
223#552—24no—
224#552—42no—
225#546—24no—
226#546—24no—
227#546—42no—
228#546—42no—
229D42—42no—
230D42—42no—
231C2×#127C2311yescharacteristic
232C2×#126—21no—
233C2×#126—21no—
234C2×#125—21no—
235C2×#125C2311yescharacteristic
236C2×#125C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
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—
266#520—42no—
267#520—42no—
268C2×C4×Q8C2311yescharacteristic
269C2×C4×Q8C2311yescharacteristic
270C2×C4×Q8C2311yescharacteristic
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×#117—21no—
283C2×#117—21no—
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C22×C4⋊C4—21no—
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C22⋊C4—21no—
292C22×C22⋊C4—21no—
293C22×C22⋊C4—21no—
294C22×C22⋊C4—21no—
295#488—24no—
296#488—24no—
297#485—24no—
298#485—24no—
299#481—24no—
300#480—24no—
301#478—24no—
302#478—24no—
303#470—24no—
304#469—24no—
305#469—42no—
306#468—24no—
307#468—24no—
308#468—42no—
309#466—42no—
310#465—42no—
311#464—24no—
312#464—42no—
313#463—24no—
314#463—42no—
315#452—24no—
316#450—24no—
317#450—42no—
318#449—24no—
319#447—24no—
320#447—42no—
321C4×SD16—24no—
322C4×D8—24no—
323#436—24no—
324#436—24no—
325#428—42no—
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—24no—
343#418—24no—
344#417D418yescomplemented
345#416—42no—
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387C2×C4×C8C2311yescharacteristic
388#400—21no—
389#399—21no—
390#399—21no—
391#399—21no—
392#398—21no—
393#398—21no—
394#398D411yescharacteristic
395#397—21no—
396#397—21no—
397#397—21no—
398#397D411yescharacteristic
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#396—21no—
408#396—21no—
409#396D411yescharacteristic
410#396D411yescharacteristic
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394D411yescharacteristic
429#394D411yescharacteristic
430#394D411yescharacteristic
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392D411yescharacteristic
436#391C2311yescharacteristic
437#391C2311yescharacteristic
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#389—21no—
452#389—21no—
453#389—21no—
454#389—21no—
455#389—21no—
456#389—21no—
457#389—21no—
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#387—21no—
476#387—21no—
477#387—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#384C2311yescharacteristic
489#382C2311yescharacteristic
490#380—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380—21no—
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500#379—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C2×#95—21no—
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#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C25—21no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41C2×D414yes—
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—21no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—44no—
562C22×D4—82no—
563C22×D4—82no—
564C22×D4C2×D411yescharacteristic
565C22×D4C2×D411yescharacteristic
566C22×D4C2×D411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C2×Q16—22no—
583C2×Q16—41no—
584C2×Q16—41no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×M16—22no—
607C2×M16—22no—
608C2×M16—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16C2×D414yescomplemented
615C22×C8—22no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626#127—41no—
627#127—41no—
628#126—44no—
629#126—44no—
630#125—22no—
631#125—22no—
632#125—41no—
633#125—41no—
634#125—44no—
635#124—22no—
636#124—22no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—41no—
641#123—44no—
642#123—44no—
643#123—44no—
644#123—44no—
645C22⋊Q8—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—44no—
670#121—44no—
671#121—41no—
672#121—41no—
673#121—82no—
674#121—82no—
675#120—44no—
676#120—44no—
677#120—44no—
678#120—44no—
679C4×Q8—22no—
680C4×Q8—22no—
681C4×Q8—41no—
682C4×Q8—41no—
683C4×Q8—41no—
684C4×Q8—41no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—22no—
688C4×D4—22no—
689C4×D4—22no—
690C4×D4—22no—
691C4×D4—22no—
692C4×D4—22no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—44no—
702C4×D4—44no—
703C4×D4—44no—
704#117—22no—
705#117—22no—
706#117—41no—
707#117—41no—
708#117—44no—
709#117—44no—
710#117—41no—
711#117—41no—
712#117—41no—
713#117—41no—
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⋊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—41no—
741C2×C4⋊C4—44no—
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⋊C4C2×D414yescomplemented
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—44no—
803C2×C22⋊C4—44no—
804C2×C22⋊C4—82no—
805C2×C22⋊C4—82no—
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42—21no—
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827C2×C42C2411yescharacteristic
828#107—22no—
829#107—22no—
830#107—22no—
831#107—22no—
832#107—41no—
833#107—41no—
834#106—22no—
835#106—22no—
836#106—22no—
837#106—22no—
838#106—41no—
839#106—41no—
840C4⋊C8—22no—
841C4⋊C8—22no—
842C4⋊C8—41no—
843C4⋊C8—41no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103C2×D414yescomplemented
853#103C2×D414yescomplemented
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102C2×D414yes—
875#102C2×D414yes—
876C22⋊C8—22no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C4×C8—22no—
885C4×C8—22no—
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—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—42no—
921C24—42no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24—81no—
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931#41—28no—
932#41—44no—
933#41—44no—
934#41—44no—
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×Q8C22×D412yes—
947C2×D4—24no—
948C2×D4—22no—
949C2×D4—22no—
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—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—41no—
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—42no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—82no—
1003C2×D4—82no—
1004C2×D4—82no—
1005C2×D4—82no—
1006C2×D4—82no—
1007C2×D4—82no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—816no—
1022C2×D4C22×D412yes—
1023C2×D4H(5,𝔽2)12yes—
1024C2×D42−1+412yes—
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—24no—
1034C22×C4—24no—
1035C22×C4—24no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—42no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4C22×D411yescharacteristic
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×D411yescharacteristic
1088C22×C4C22×D412yes—
1089C22×C4H(5,𝔽2)12yes—
1090C22×C4C2511yescharacteristic
1091Q16—82no—
1092SD16—44no—
1093SD16—82no—
1094SD16—82no—
1095SD16—82no—
1096D8—44no—
1097D8—82no—
1098D8—82no—
1099M16—44no—
1100M16—82no—
1101M16—82no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—82no—
1125C2×C8C22×D412yes—
1126C2×C8C22×D412yes—
1127C4⋊C4—24no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
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—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C4⋊C4—81no—
1169C4⋊C4—81no—
1170C4⋊C4—81no—
1171C4⋊C4—81no—
1172C4⋊C4—81no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4C22×D412yes—
1176C4⋊C4C22×D412yes—
1177C4⋊C4H(5,𝔽2)12yes—
1178C22⋊C4—24no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C42—21no—
1233C42—21no—
1234C42—21no—
1235C42—21no—
1236C42—21no—
1237C42—21no—
1238C42—21no—
1239C42—21no—
1240C42—42no—
1241C42—42no—
1242C42—42no—
1243C42—42no—
1244C42—42no—
1245C42—81no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—22no—
1251C23—22no—
1252C23—21no—
1253C23—21no—
1254C23—22no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—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—41no—
1293C23—41no—
1294C23—84no—
1295C23—84no—
1296C23—84no—
1297C23—84no—
1298C23—84no—
1299C23—84no—
1300C23—84no—
1301C23—84no—
1302C23—162no—
1303C23—162no—
1304C23—162no—
1305C23—162no—
1306C23—162no—
1307C23—162no—
1308C23D4212yes—
1309C23C23×D411yescharacteristic
1310Q8—22no—
1311Q8—22no—
1312Q8—41no—
1313Q8—41no—
1314Q8—41no—
1315Q8—41no—
1316Q8—41no—
1317Q8—41no—
1318D4—22no—
1319D4—22no—
1320D4—22no—
1321D4—48no—
1322D4—44no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—82no—
1336D4—82no—
1337D4—84no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—162no—
1344D4—162no—
1345D4—162no—
1346D4—162no—
1347D4—162no—
1348D4#53714yes—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—48no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—84no—
1431C2×C4—84no—
1432C2×C4—162no—
1433C2×C4—162no—
1434C2×C4—162no—
1435C2×C4—162no—
1436C2×C4—162no—
1437C2×C4D4212yes—
1438C2×C4C23×D411yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C2×C4C2×H(5,𝔽2)11yescharacteristic
1441C2×C4C2×H(5,𝔽2)11yescharacteristic
1442C2×C4C2×2−1+411yescharacteristic
1443C2×C4#58511yescharacteristic
1444C8—22no—
1445C8—22no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C22—22no—
1453C22—24no—
1454C22—22no—
1455C22—22no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—41no—
1460C22—41no—
1461C22—42no—
1462C22—41no—
1463C22—42no—
1464C22—41no—
1465C22—42no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
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—168no—
1502C22—168no—
1503C22C2×D4211yescharacteristic
1504C22#348411yescharacteristic
1505C22#348911yescharacteristic
1506C22#358411yescharacteristic
1507C22#358411yescharacteristic
1508C22#358511yescharacteristic
1509C22#358511yescharacteristic
1510C4—22no—
1511C4—41no—
1512C4—41no—
1513C4—42no—
1514C4—41no—
1515C4—41no—
1516C4—42no—
1517C4—42no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—42no—
1523C4—41no—
1524C4—41no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4C2×#53711yescharacteristic
1534C4#349611yescharacteristic
1535C4#353411yescharacteristic
1536C4#353611yescharacteristic
1537C2—42no—
1538C2—44no—
1539C2—81no—
1540C2—81no—
1541C2—161no—
1542C2—161no—
1543C2—161no—
1544C2#3767311yescharacteristic
1545C2#6107411yescharacteristic
1546C2#6107711yescharacteristic
1547C2#6164311yescharacteristic
1548C2#6166311yescharacteristic
1549C2#6217511yescharacteristic
1550C2#6217611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3323C2semidirect
2. C2×#3322C2semidirect
3. #42674C2semidirect
4. #35728C2semidirect
5. #32919C2semidirect
6. #30889C2semidirect
7. #30887C2semidirect
8. #30863C2semidirect
9. #30861C2semidirect
10. #30644C2semidirect
11. #30642C2semidirect
12. #30580C2semidirect
13. #30578C2semidirect
14. #30251C2semidirect
15. #29763C2semidirect
16. #26378C2semidirect
17. #26370C2semidirect
18. #25976C2semidirect
19. #25968C2semidirect
20. #25539C2semidirect
21. #25537C2semidirect
22. #25160C2semidirect
23. #25152C2semidirect
24. #24794C2semidirect
25. #24792C2semidirect
26. #24448C2semidirect
27. #24440C2semidirect
28. #24436C2semidirect
29. #24428C2semidirect
30. #22179C2semidirect
31. #20878C2semidirect
32. C2×#553C22semidirect
33. C2×#552C22semidirect
40. C2×#488C22semidirect
41. C2×#488C22semidirect
42. C2×#481C22semidirect
43. C2×#485C22semidirect
44. C2×#485C22semidirect
45. C2×#480C22semidirect
48. C2×#470C22semidirect
50. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#464C22semidirect
59. C2×#463C22semidirect
68. C2×#436C22semidirect
69. C2×#436C22semidirect
70. C2×#428C22semidirect
82. #2620C22semidirect
89. #2454C22semidirect
90. #2453C22semidirect
91. #2441C22semidirect
92. #2441C22semidirect
93. #2427C22semidirect
96. #2426C22semidirect
102. #2415C22semidirect
104. #2414C22semidirect
113. #2316C22semidirect
114. #2097C22semidirect
115. #2094C22semidirect
116. #2093C22semidirect
117. #2092C22semidirect
118. #2085C22semidirect
119. #2085C22semidirect
120. #2067C22semidirect
121. #2067C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2066C22semidirect
125. #2065C22semidirect
126. #2065C22semidirect
127. #2065C22semidirect
128. #2059C22semidirect
129. #2059C22semidirect
130. #2042C22semidirect
131. #2042C22semidirect
134. #2036C22semidirect
135. #2036C22semidirect
136. #2036C22semidirect
137. #2035C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
142. #2025C22semidirect
143. #2025C22semidirect
144. #2015C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
150. #2001C22semidirect
152. #2000C22semidirect
154. #1970C22semidirect
155. #1968C22semidirect
156. #1942C22semidirect
157. #1941C22semidirect
158. #1923C22semidirect
159. #1923C22semidirect
160. #1916C22semidirect
161. #1916C22semidirect
162. #1880C22semidirect
163. #1880C22semidirect
166. #1879C22semidirect
167. #1878C22semidirect
172. #1875C22semidirect
173. #1875C22semidirect
174. #1874C22semidirect
175. #1872C22semidirect
178. #1869C22semidirect
179. #1869C22semidirect
180. #1865C22semidirect
181. #1865C22semidirect
185. #1864C22semidirect
186. #1863C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
192. #1854C22semidirect
193. #1854C22semidirect
194. #1851C22semidirect
195. #1851C22semidirect
196. #1809C22semidirect
197. #1809C22semidirect
198. #1803C22semidirect
200. #1798C22semidirect
203. C2×#340C22semidirect
204. #1729C22semidirect
344. #417D4semidirect
614. C2×M16C2×D4semidirect
749. C2×C4⋊C4C2×D4semidirect
852. #103C2×D4semidirect
853. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33232
C2×#33222
#426742
#357282
#329192
#308892
#308872
#308632
#308612
#306442
#306422
#305802
#305782
#302512
#297632
#263782
#263702
#259762
#259682
#255392
#255372
#251602
#251522
#247942
#247922
#244482
#244402
#244362
#244282
#221792
#208782