Finite Group Databasebeta

← #6806616

Subgroups — #6806616

Order 512.

2191 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3309C211yesmaximal, characteristic, complemented
2C2×#3054C211yesmaximal, characteristic, complemented
3#39862C211yesmaximal, characteristic, complemented
4#39861C211yesmaximal, characteristic, complemented
5#32936C211yesmaximal, characteristic, complemented
6#30857C211yesmaximal, characteristic, complemented
7#30855C211yesmaximal, characteristic, complemented
8#30690C211yesmaximal, characteristic, complemented
9#30686C211yesmaximal, characteristic, complemented
10#30581C211yesmaximal, characteristic, complemented
11#30573C211yesmaximal, characteristic, complemented
12#30515C211yesmaximal, characteristic, complemented
13#30512C211yesmaximal, characteristic, complemented
14#29600C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28916C211yesmaximal, characteristic, complemented
17#28914C211yesmaximal, characteristic, complemented
18#28337C211yesmaximal, characteristic, complemented
19#28109C211yesmaximal, characteristic, complemented
20#26987C211yesmaximal, characteristic, complemented
21#26986C211yesmaximal, characteristic, complemented
22#25392C211yesmaximal, characteristic, complemented
23#25390C211yesmaximal, characteristic, complemented
24#25139C211yesmaximal, characteristic, complemented
25#25135C211yesmaximal, characteristic, complemented
26#24587C211yesmaximal, characteristic, complemented
27#24364C211yesmaximal, characteristic, complemented
28#24090C211yesmaximal, characteristic, complemented
29#23857C211yesmaximal, characteristic, complemented
30#22572C211yesmaximal, characteristic, complemented
31#21441C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C23×M16C2211yescharacteristic
34C2×#553C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38#3309—28no—
39C2×#490C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#480C2211yescharacteristic, complemented
43C2×#479C2211yescharacteristic, complemented
44#3054—28no—
45C2×#470C2211yescharacteristic
46C2×#470C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#468C2211yescharacteristic
56C2×#466C2211yescharacteristic
57C2×#463C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#440C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic
67C2×#436C2211yescharacteristic
68C2×#435C2211yescharacteristic
69C2×#427C2211yescharacteristic
70C2×#417C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic
72C2×#416C2211yescharacteristic
73#2847C2211yescharacteristic
74#2847C2211yescharacteristic
75#2709—21no—
76#2708—21no—
77#2706—21no—
78#2703—21no—
79#2678—21no—
80#2669—21no—
81#2669—21no—
82#2668—21no—
83#2636—21no—
84#2635—21no—
85#2603—21no—
86#2600—21no—
87#2543—21no—
88#2541C2211yescharacteristic
89#2540C2211yescharacteristic
90#2537C2211yescharacteristic
91#2535—21no—
92#2535C2211yescharacteristic
93#2500C2211yescharacteristic
94#2490C2211yescharacteristic
95#2489C2211yescharacteristic
96#2485C2211yescharacteristic
97#2431C2211yescharacteristic
98#2428C2211yescharacteristic
99#2428C2211yescharacteristic
100#2428C2211yescharacteristic
101#2427C2211yescharacteristic
102#2423C2211yescharacteristic
103#2421C2211yescharacteristic
104#2417C2211yescharacteristic
105#2416C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2346C2211yescharacteristic
110#2339C2211yescharacteristic
111#2328—21no—
112#2325—21no—
113C4×#120C2211yescharacteristic
114#2095C2211yescharacteristic, complemented
115#2092C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2083C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2059C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2036C2211yescharacteristic
127#2036C2211yescharacteristic
128#2035C2211yescharacteristic
129#2035C2211yescharacteristic
130#2035C2211yescharacteristic, complemented
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic, complemented
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1970C2211yescharacteristic, complemented
155#1968C2211yescharacteristic, complemented
156#1958C2211yescharacteristic, complemented
157#1957C2211yescharacteristic, complemented
158#1949C2211yescharacteristic, complemented
159#1948C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1933C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1925C2211yescharacteristic, complemented
168#1895C2211yescharacteristic
169#1895C2211yescharacteristic
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1893C2211yescharacteristic
175#1893C2211yescharacteristic
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic
182#1869C2211yescharacteristic
183#1864C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1851C2211yescharacteristic
190#1851C2211yescharacteristic
191#1850C2211yescharacteristic
192#1825C2211yescharacteristic
193#1825C2211yescharacteristic
194#1809C2211yescharacteristic
195#1809C2211yescharacteristic
196#1807C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1779C2211yescharacteristic
200C4×#102C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic
203#1753C2211yescharacteristic
204C8×C22⋊C4C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×#135—24no—
210C2×#135—42no—
211C2×#135—42no—
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×D8C2311yescharacteristic
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
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#553—24no—
232#553—42no—
233#550—24no—
234#550—42no—
235C2×#127—21no—
236C2×#127—21no—
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#126—21no—
240C2×#125C2311yescharacteristic
241C2×#124C2311yescharacteristic
242#525—24no—
243#525—24no—
244#525—42no—
245#525—42no—
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120D411yescharacteristic
280C2×C4×Q8C2311yescharacteristic
281C2×C4×D4—21no—
282C2×C4×D4—21no—
283C2×C4×D4—21no—
284C2×C4×D4—21no—
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296#490—24no—
297#482—24no—
298#482—42no—
299#480—24no—
300#479—24no—
301#470—24no—
302#470—24no—
303#469—24no—
304#469—24no—
305#469—24no—
306#469—42no—
307#469—42no—
308#468—24no—
309#468—24no—
310#468—24no—
311#468—24no—
312#466—24no—
313#463—42no—
314#459—24no—
315#459—42no—
316#452—42no—
317#449—24no—
318#449—24no—
319#449—42no—
320#449—42no—
321#440—24no—
322#436—42no—
323#436—42no—
324#435—24no—
325#427—24no—
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340#417—24no—
341#416—24no—
342#416D418yescomplemented
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×#97C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384C2×C4×C8C2311yescharacteristic
385#400—21no—
386#400—21no—
387#399—21no—
388#399—21no—
389#398—21no—
390#398—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397—21no—
396#397—21no—
397#396—21no—
398#396—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#391C2311yescharacteristic
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#387—21no—
451#387—21no—
452#387—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386D411yescharacteristic
475#386D411yescharacteristic
476#386D411yescharacteristic
477#385—21no—
478#385—21no—
479#385—21no—
480#385D411yescharacteristic
481#385D411yescharacteristic
482#385D411yescharacteristic
483#384C2311yescharacteristic
484#382—21no—
485#382—21no—
486#382C2311yescharacteristic
487#381—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379D411yescharacteristic
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505#376—21no—
506C2×#95—21no—
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25C2×D411yescharacteristic
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41C2×D414yes—
546C22×Q8C2411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2×D411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C22×D4C2411yescharacteristic
575C23×C4—22no—
576C23×C4—22no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—41no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4C2×D411yescharacteristic
589C23×C4C2×D411yescharacteristic
590C23×C4C2×D411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595#135—416no—
596C2×Q16—22no—
597C2×Q16—22no—
598C2×Q16—41no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×M16—22no—
624C2×M16—22no—
625C2×M16—22no—
626C2×M16—22no—
627C2×M16—22no—
628C2×M16—22no—
629C2×M16—22no—
630C2×M16—22no—
631C2×M16—22no—
632C2×M16—41no—
633C2×M16—41no—
634C2×M16—41no—
635C2×M16—41no—
636C2×M16—41no—
637C2×M16—41no—
638C2×M16—416no—
639C22×C8—22no—
640C22×C8—22no—
641C22×C8—22no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8C2×D414yes—
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653#127—22no—
654#127—41no—
655#127—41no—
656#127—41no—
657#127—44no—
658#127—44no—
659#126—44no—
660#125—22no—
661#125—41no—
662#124—41no—
663#124—41no—
664#123—44no—
665#123—44no—
666#123—44no—
667C22⋊Q8—22no—
668C22⋊Q8—22no—
669C22⋊Q8—22no—
670C22⋊Q8—22no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—44no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—82no—
708#121—82no—
709#121—82no—
710#121—82no—
711#120—42no—
712#120—44no—
713#120—44no—
714#120—82no—
715#120—82no—
716C4×Q8—22no—
717C4×Q8—41no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—22no—
721C4×D4—44no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—44no—
728C4×D4—44no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—44no—
734C4×D4—44no—
735C4×D4—44no—
736#117—22no—
737#117—22no—
738#117—22no—
739#117C2×D414yes—
740C2×C4⋊C4—22no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
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—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
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×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C42—21no—
824C2×C42—21no—
825C2×C42—21no—
826C2×C42—21no—
827C2×C42—21no—
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830C2×C42C2411yescharacteristic
831#107—22no—
832#107—22no—
833#107—22no—
834#107—22no—
835#107—41no—
836#106—22no—
837#106—22no—
838#106—22no—
839#106—41no—
840#106—41no—
841#106—41no—
842C4⋊C8—22no—
843C4⋊C8—22no—
844C4⋊C8—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103C2×D414yes—
854#103C2×D414yes—
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#102C2×D414yes—
874#102C2×D414yes—
875C22⋊C8—22no—
876C22⋊C8—22no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884#97—22no—
885C4×C8—41no—
886C4×C8—41no—
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#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917C24—21no—
918C24—22no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—41no—
923C24—41no—
924C24—41no—
925C24—41no—
926C24—41no—
927C24—41no—
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931C24C22×D411yescharacteristic
932#41—44no—
933#41—44no—
934#41—44no—
935#41—44no—
936#41—44no—
937#41—82no—
938#41—82no—
939#41—82no—
940#41—82no—
941#41—82no—
942#41—82no—
943#41—82no—
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×Q8C22×D412yes—
956C2×D4—22no—
957C2×D4—24no—
958C2×D4—22no—
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—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
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—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4C22×D412yes—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—22no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—24no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D411yescharacteristic
1126C22×C4C22×D412yes—
1127C22×C4C22×D411yescharacteristic
1128C22×C4H(5,𝔽2)12yes—
1129C22×C4C2511yescharacteristic
1130Q16—44no—
1131SD16—44no—
1132SD16—44no—
1133SD16—44no—
1134SD16—82no—
1135D8—44no—
1136D8—82no—
1137D8—82no—
1138D8—82no—
1139M16—44no—
1140M16—44no—
1141M16—44no—
1142M16—44no—
1143M16—82no—
1144C2×C8—28no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—44no—
1166C2×C8C22×D412yes—
1167C2×C8C22×D412yes—
1168C2×C8H(5,𝔽2)12yes—
1169C2×C8H(5,𝔽2)12yes—
1170C4⋊C4—22no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—81no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4C22×D412yes—
1207C4⋊C4C22×D412yes—
1208C22⋊C4—24no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C42—24no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—42no—
1269C42—42no—
1270C42—42no—
1271C42—81no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—22no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—44no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—82no—
1329C23—82no—
1330C23—82no—
1331C23—82no—
1332C23—82no—
1333C23—82no—
1334C23D4212yes—
1335C23C23×D411yescharacteristic
1336Q8—22no—
1337Q8—22no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344D4—22no—
1345D4—22no—
1346D4—41no—
1347D4—41no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—82no—
1361D4—82no—
1362D4—84no—
1363D4—82no—
1364D4—84no—
1365D4—84no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—84no—
1370D4—84no—
1371D4—84no—
1372D4—162no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
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—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—84no—
1467C2×C4—84no—
1468C2×C4—84no—
1469C2×C4—162no—
1470C2×C4—162no—
1471C2×C4—162no—
1472C2×C4—162no—
1473C2×C4D4212yes—
1474C2×C4#57512yes—
1475C2×C4C23×D411yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C2×C4C2×H(5,𝔽2)11yescharacteristic
1479C2×C4#58511yescharacteristic
1480C2×C4#58511yescharacteristic
1481C8—22no—
1482C8—22no—
1483C8—22no—
1484C8—22no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—42no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—42no—
1520C22—88no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22C2×D4211yescharacteristic
1547C22#349611yescharacteristic
1548C22#349611yescharacteristic
1549C22C2×#57511yescharacteristic
1550C22#358411yescharacteristic
1551C22#358511yescharacteristic
1552C22#358511yescharacteristic
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—42no—
1559C4—41no—
1560C4—41no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—42no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4#344911yescharacteristic
1576C4#348411yescharacteristic
1577C4#354211yescharacteristic
1578C4#354211yescharacteristic
1579C2—42no—
1580C2—81no—
1581C2—81no—
1582C2—81no—
1583C2—82no—
1584C2—161no—
1585C2—161no—
1586C2—161no—
1587C2#3933211yescharacteristic
1588C2#6103811yescharacteristic
1589C2#6106311yescharacteristic
1590C2#6230111yescharacteristic
1591C2#6230411yescharacteristic
1592C2#6231311yescharacteristic
1593C2#6232011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3309C2semidirect
2. C2×#3054C2semidirect
3. #39862C2semidirect
4. #39861C2semidirect
5. #32936C2semidirect
6. #30857C2semidirect
7. #30855C2semidirect
8. #30690C2semidirect
9. #30686C2semidirect
10. #30581C2semidirect
11. #30573C2semidirect
12. #30515C2semidirect
13. #30512C2semidirect
14. #29600C2semidirect
15. #29600C2semidirect
16. #28916C2semidirect
17. #28914C2semidirect
18. #28337C2semidirect
19. #28109C2semidirect
20. #26987C2semidirect
21. #26986C2semidirect
22. #25392C2semidirect
23. #25390C2semidirect
24. #25139C2semidirect
25. #25135C2semidirect
26. #24587C2semidirect
27. #24364C2semidirect
28. #24090C2semidirect
29. #23857C2semidirect
30. #22572C2semidirect
31. #21441C2semidirect
39. C2×#490C22semidirect
42. C2×#480C22semidirect
43. C2×#479C22semidirect
51. C2×#469C22semidirect
57. C2×#463C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
60. C2×#452C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#440C22semidirect
70. C2×#417C22semidirect
114. #2095C22semidirect
115. #2092C22semidirect
116. #2085C22semidirect
117. #2083C22semidirect
118. #2067C22semidirect
119. #2066C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2059C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
130. #2035C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
137. #2033C22semidirect
138. #2015C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2012C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
148. #2000C22semidirect
153. #1999C22semidirect
154. #1970C22semidirect
155. #1968C22semidirect
156. #1958C22semidirect
157. #1957C22semidirect
158. #1949C22semidirect
159. #1948C22semidirect
160. #1936C22semidirect
161. #1935C22semidirect
162. #1933C22semidirect
163. #1933C22semidirect
164. #1927C22semidirect
165. #1927C22semidirect
166. #1926C22semidirect
167. #1925C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
176. #1880C22semidirect
177. #1879C22semidirect
178. #1878C22semidirect
179. #1877C22semidirect
183. #1864C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
187. #1853C22semidirect
188. #1852C22semidirect
200. C4×#102C22semidirect
201. C4×#102C22semidirect
342. #416D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33092
C2×#30542
#398622
#398612
#329362
#308572
#308552
#306902
#306862
#305812
#305732
#305152
#305122
#296002
#289162
#289142
#283372
#281092
#269872
#269862
#253922
#253902
#251392
#251352
#245872
#243642
#240902
#238572
#225722
#214412