Finite Group Databasebeta

← #7560779

Subgroups — #7560779

Order 512.

2153 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3294C211yesmaximal, characteristic, complemented
2C2×#3179C211yesmaximal, characteristic, complemented
3#44875C211yesmaximal, characteristic, complemented
4#44872C211yesmaximal, characteristic, complemented
5#30962C211yesmaximal, characteristic, complemented
6#30797C211yesmaximal, characteristic, complemented
7#30749C211yesmaximal, characteristic, complemented
8#30460C211yesmaximal, characteristic, complemented
9#28906C211yesmaximal, characteristic, complemented
10#28556C211yesmaximal, characteristic, complemented
11#28332C211yesmaximal, characteristic, complemented
12#27767C211yesmaximal, characteristic, complemented
13#27254C211yesmaximal, characteristic, complemented
14#26961C211yesmaximal, characteristic, complemented
15#26912C211yesmaximal, characteristic, complemented
16#26819C211yesmaximal, characteristic, complemented
17#26816C211yesmaximal, characteristic, complemented
18#26644C211yesmaximal, characteristic, complemented
19#26174C211yesmaximal, characteristic, complemented
20#25549C211yesmaximal, characteristic, complemented
21#25223C211yesmaximal, characteristic, complemented
22#25097C211yesmaximal, characteristic, complemented
23#24913C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24069C211yesmaximal, characteristic, complemented
26#23945C211yesmaximal, characteristic, complemented
27#23130C211yesmaximal, characteristic, complemented
28#22995C211yesmaximal, characteristic, complemented
29#22874C211yesmaximal, characteristic, complemented
30#21566C211yesmaximal, characteristic, complemented
31#21091C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#542C2211yescharacteristic, complemented
35C2×#540C2211yescharacteristic
36#3294—28no—
37#3179—28no—
38C2×#501C2211yescharacteristic, complemented
39C2×#496C2211yescharacteristic, complemented
40C2×#488C2211yescharacteristic, complemented
41C2×#486C2211yescharacteristic
42C2×#486C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic, complemented
44C2×#480C2211yescharacteristic
45C2×#480C2211yescharacteristic
46C2×#474C2211yescharacteristic
47C2×#469C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#465C2211yescharacteristic, complemented
52C2×#459C2211yescharacteristic
53C2×#459C2211yescharacteristic
54C2×#450C2211yescharacteristic
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×#442C2211yescharacteristic, complemented
59C2×#440C2211yescharacteristic, complemented
60C2×C4×SD16C2211yescharacteristic, complemented
61C2×C4×D8C2211yescharacteristic
62C2×C4×D8C2211yescharacteristic, complemented
63C2×C8×D4C2211yescharacteristic
64C2×#418C2211yescharacteristic
65C22×#102C2211yescharacteristic
66C22×#102C2211yescharacteristic
67C2×#405C2211yescharacteristic, complemented
68#2724—21no—
69#2717—21no—
70#2703—21no—
71#2698—21no—
72#2680—21no—
73#2678—21no—
74#2678—21no—
75#2668—21no—
76#2553—21no—
77#2551C2211yescharacteristic, complemented
78#2541C2211yescharacteristic
79#2539—21no—
80#2502C2211yescharacteristic, complemented
81#2490C2211yescharacteristic
82#2464—21no—
83#2454C2211yescharacteristic
84#2451C2211yescharacteristic, complemented
85#2447C2211yescharacteristic, complemented
86#2445C2211yescharacteristic
87#2440—21no—
88#2440C2211yescharacteristic, complemented
89#2433C2211yescharacteristic
90#2433C2211yescharacteristic
91#2432—21no—
92#2428C2211yescharacteristic
93#2427C2211yescharacteristic, complemented
94#2422C2211yescharacteristic, complemented
95#2415C2211yescharacteristic
96#2414C2211yescharacteristic
97#2410—21no—
98#2408—21no—
99#2406—21no—
100#2395C2211yescharacteristic
101#2366C2211yescharacteristic
102#2363C2211yescharacteristic
103#2363C2211yescharacteristic, complemented
104#2360C2211yescharacteristic, complemented
105D4×C4⋊C4C2211yescharacteristic, complemented
106D4×C22⋊C4C2211yescharacteristic
107#2317C2211yescharacteristic, complemented
108#2309C2211yescharacteristic
109#2094C2211yescharacteristic
110#2094C2211yescharacteristic, complemented
111#2088C2211yescharacteristic, complemented
112#2083C2211yescharacteristic, complemented
113#2077C2211yescharacteristic, complemented
114#2071C2211yescharacteristic, complemented
115#2068C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2059C2211yescharacteristic, complemented
119#2058C2211yescharacteristic, complemented
120#2055C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic
129#2023C2211yescharacteristic
130#2023C2211yescharacteristic, complemented
131#2023C2211yescharacteristic, complemented
132#2014C2211yescharacteristic
133#2014C2211yescharacteristic
134#2014C2211yescharacteristic, complemented
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1982C2211yescharacteristic, complemented
142#1968C2211yescharacteristic
143#1968C2211yescharacteristic, complemented
144#1957C2211yescharacteristic
145#1957C2211yescharacteristic, complemented
146#1947C2211yescharacteristic, complemented
147#1936C2211yescharacteristic
148#1936C2211yescharacteristic
149#1936C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1934C2211yescharacteristic
152#1934C2211yescharacteristic
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1928C2211yescharacteristic, complemented
160#1926C2211yescharacteristic
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1921C2211yescharacteristic, complemented
164#1921C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1917C2211yescharacteristic, complemented
167#1893C2211yescharacteristic, complemented
168#1892C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1873C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1818C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196C8×C4⋊C4C2211yescharacteristic, complemented
197C8×C4⋊C4C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200C8×C22⋊C4C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41—21no—
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#547—24no—
221#547—42no—
222D42—24no—
223D42—42no—
224#542—24no—
225#542—42no—
226#540—24no—
227#540—42no—
228C2×C4⋊Q8—21no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×C4⋊Q8C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#126—21no—
236C2×#125C2311yescharacteristic
237C2×#124—21no—
238C2×#124C2311yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×C4×Q8C2311yescharacteristic
270C2×C4×D4—21no—
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C2×#117C2311yescharacteristic
282C22×C4⋊C4—21no—
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C22⋊C4—21no—
286#501—24no—
287#496—24no—
288#488—24no—
289#486—24no—
290#486—24no—
291#481—42no—
292#480—24no—
293#480—24no—
294#474—24no—
295#469—24no—
296#468—24no—
297#466—24no—
298#466D418yescomplemented
299#465—24no—
300#459—24no—
301#459—24no—
302#450—24no—
303#450—42no—
304#447—24no—
305#447—24no—
306#442—24no—
307#440—24no—
308C4×SD16—24no—
309C4×D8—24no—
310C4×D8—24no—
311C8×D4—24no—
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#107C2311yescharacteristic
315C2×#107C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×#106C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323#418—24no—
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#102—24no—
329C2×#102—24no—
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363#405—24no—
364C2×#97C2311yescharacteristic
365C2×#97C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368C2×C4×C8C2311yescharacteristic
369C2×C4×C8C2311yescharacteristic
370C2×C4×C8C2311yescharacteristic
371#400D411yescharacteristic
372#399—21no—
373#399D411yescharacteristic
374#398—21no—
375#398—21no—
376#398—21no—
377#398—21no—
378#398D411yescharacteristic
379#397—21no—
380#397—21no—
381#397—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#397D411yescharacteristic
386#397D411yescharacteristic
387#397D411yescharacteristic
388#396—21no—
389#395—21no—
390#395—21no—
391#395—21no—
392#395—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394D411yescharacteristic
402#394D411yescharacteristic
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#391—21no—
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390—21no—
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#389—21no—
432#389—21no—
433#389—21no—
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#387—21no—
448#387—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#384—21no—
470#384C2311yescharacteristic
471#384C2311yescharacteristic
472#382—21no—
473#381—21no—
474#380—21no—
475#380—21no—
476#380—21no—
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#379—21no—
480#379—21no—
481#379—21no—
482C4×C4⋊C4C2311yescharacteristic
483C4×C4⋊C4C2311yescharacteristic
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518C25—21no—
519C25—21no—
520C2×#41—44no—
521C2×#41—82no—
522C2×#41—82no—
523C22×Q8—21no—
524C22×Q8—21no—
525C22×Q8C2411yescharacteristic
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—22no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—44no—
555C22×D4—82no—
556C22×D4—82no—
557C22×D4C2×D411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8C2×D414yes—
598C2×M16—22no—
599C2×M16—22no—
600C2×M16—41no—
601C22×C8—22no—
602C22×C8—41no—
603C22×C8—41no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8C2×D414yes—
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C4⋊Q8—22no—
616C4⋊Q8—22no—
617C4⋊Q8—41no—
618C4⋊Q8—41no—
619C4⋊Q8—82no—
620#127—22no—
621#127—22no—
622#127—22no—
623#127—41no—
624#127—41no—
625#127—41no—
626#127—41no—
627#127—41no—
628#126—44no—
629#125—22no—
630#125—41no—
631#124—22no—
632#124—41no—
633#124—44no—
634#123—44no—
635#123—44no—
636#123—44no—
637#123—44no—
638#123—44no—
639#123—82no—
640#123—82no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—22no—
644C22⋊Q8—44no—
645C22⋊Q8—44no—
646C22⋊Q8—41no—
647C22⋊Q8—82no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—22no—
653#121—22no—
654#121—44no—
655#121—44no—
656#121—44no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—82no—
662#121—82no—
663#121—82no—
664#121C2×D414yes—
665#121C2×D414yes—
666#120—44no—
667#120—44no—
668#120—82no—
669#120—82no—
670#120—82no—
671#120—82no—
672C4×Q8—22no—
673C4×Q8—41no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—22no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—22no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—82no—
691#117—22no—
692#117—22no—
693#117—22no—
694#117—41no—
695#117—41no—
696#117—41no—
697C2×C4⋊C4—22no—
698C2×C4⋊C4—22no—
699C2×C4⋊C4—22no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4—82no—
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2×D411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—82no—
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800#107—22no—
801#107—22no—
802#107—22no—
803#107C2×D414yes—
804#106—22no—
805#106—22no—
806#106—41no—
807#106—41no—
808C4⋊C8—22no—
809C4⋊C8—22no—
810C4⋊C8—41no—
811#103—22no—
812#103—22no—
813#103—41no—
814#103—41no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102C2×D414yes—
841#102C2×D414yes—
842#102#4114yescomplemented
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—41no—
848#97—22no—
849#97—22no—
850C4×C8—22no—
851C4×C8—22no—
852C4×C8—22no—
853C4×C8—41no—
854C4×C8—41no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—42no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24C22×D411yescharacteristic
903C24C22×D411yescharacteristic
904#41—816no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—42no—
912C2×Q8—42no—
913C2×Q8—42no—
914C2×Q8—81no—
915C2×Q8—81no—
916C2×Q8—81no—
917C2×D4—22no—
918C2×D4—22no—
919C2×D4—24no—
920C2×D4—24no—
921C2×D4—22no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—44no—
950C2×D4—44no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—44no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—82no—
991C2×D4—82no—
992C2×D4—82no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—816no—
1004C2×D4C22×D412yes—
1005C2×D4C22×D412yes—
1006C2×D4C2×#4112yes—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D412yes—
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4H(5,𝔽2)12yes—
1069C22×C4C2511yescharacteristic
1070SD16—44no—
1071SD16—44no—
1072SD16—82no—
1073SD16—82no—
1074D8—44no—
1075D8—44no—
1076D8—44no—
1077D8—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—44no—
1101C2×C8—82no—
1102C2×C8C22×D412yes—
1103C2×C8C22×D412yes—
1104C2×C8C2×#4112yes—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
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—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
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—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4C22×D412yes—
1151C4⋊C4C22×D412yes—
1152C4⋊C4C2×#4112yes—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—24no—
1159C22⋊C4—24no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—42no—
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—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
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—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—21no—
1212C42—42no—
1213C42—42no—
1214C42—81no—
1215C42—81no—
1216C42—81no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—84no—
1265C23—84no—
1266C23—84no—
1267C23—84no—
1268C23—84no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23D4212yes—
1279C23#57612yes—
1280C23C23×D411yescharacteristic
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—84no—
1286Q8—162no—
1287D4—28no—
1288D4—22no—
1289D4—22no—
1290D4—22no—
1291D4—22no—
1292D4—22no—
1293D4—22no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—84no—
1309D4—84no—
1310D4—84no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
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—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—21no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—84no—
1400C2×C4—84no—
1401C2×C4—84no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4—162no—
1405C2×C4—162no—
1406C2×C4D4212yes—
1407C2×C4#57612yes—
1408C2×C4#57712yes—
1409C2×C4#57712yes—
1410C2×C4C23×D411yescharacteristic
1411C2×C4C22×#4111yescharacteristic
1412C2×C4C2×H(5,𝔽2)11yescharacteristic
1413C2×C4#58511yescharacteristic
1414C2×C4#58511yescharacteristic
1415C2×C4#58511yescharacteristic
1416C8—22no—
1417C8—22no—
1418C8—22no—
1419C8—41no—
1420C8—41no—
1421C8—41no—
1422C8—41no—
1423C8—41no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—168no—
1474C22—168no—
1475C22C2×D4211yescharacteristic
1476C22D4×#4111yescharacteristic
1477C22#350011yescharacteristic
1478C22C2×#57611yescharacteristic
1479C22C2×#57611yescharacteristic
1480C22C2×#57711yescharacteristic
1481C22C2×#57711yescharacteristic
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—42no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—42no—
1492C4—42no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4D4×#4111yescharacteristic
1506C4#348511yescharacteristic
1507C4#349411yescharacteristic
1508C4#356011yescharacteristic
1509C2—42no—
1510C2—42no—
1511C2—82no—
1512C2—82no—
1513C2—82no—
1514C2—161no—
1515C2—161no—
1516C2#5912211yescharacteristic
1517C2#6104911yescharacteristic
1518C2#6108711yescharacteristic
1519C2#6149611yescharacteristic
1520C2#6149811yescharacteristic
1521C2#6255011yescharacteristic
1522C2#6255211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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
1. C2×#3294C2semidirect
2. C2×#3179C2semidirect
3. #44875C2semidirect
4. #44872C2semidirect
5. #30962C2semidirect
6. #30797C2semidirect
7. #30749C2semidirect
8. #30460C2semidirect
9. #28906C2semidirect
10. #28556C2semidirect
11. #28332C2semidirect
12. #27767C2semidirect
13. #27254C2semidirect
14. #26961C2semidirect
15. #26912C2semidirect
16. #26819C2semidirect
17. #26816C2semidirect
18. #26644C2semidirect
19. #26174C2semidirect
20. #25549C2semidirect
21. #25223C2semidirect
22. #25097C2semidirect
23. #24913C2semidirect
24. #24448C2semidirect
25. #24069C2semidirect
26. #23945C2semidirect
27. #23130C2semidirect
28. #22995C2semidirect
29. #22874C2semidirect
30. #21566C2semidirect
31. #21091C2semidirect
34. C2×#542C22semidirect
38. C2×#501C22semidirect
39. C2×#496C22semidirect
40. C2×#488C22semidirect
42. C2×#486C22semidirect
43. C2×#481C22semidirect
47. C2×#469C22semidirect
51. C2×#465C22semidirect
58. C2×#442C22semidirect
59. C2×#440C22semidirect
60. C2×C4×SD16C22semidirect
62. C2×C4×D8C22semidirect
67. C2×#405C22semidirect
77. #2551C22semidirect
80. #2502C22semidirect
84. #2451C22semidirect
85. #2447C22semidirect
88. #2440C22semidirect
93. #2427C22semidirect
94. #2422C22semidirect
103. #2363C22semidirect
104. #2360C22semidirect
105. D4×C4⋊C4C22semidirect
107. #2317C22semidirect
110. #2094C22semidirect
111. #2088C22semidirect
112. #2083C22semidirect
113. #2077C22semidirect
114. #2071C22semidirect
115. #2068C22semidirect
116. #2065C22semidirect
117. #2059C22semidirect
118. #2059C22semidirect
119. #2058C22semidirect
120. #2055C22semidirect
121. #2055C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2034C22semidirect
130. #2023C22semidirect
131. #2023C22semidirect
134. #2014C22semidirect
136. #2012C22semidirect
137. #2011C22semidirect
139. #2000C22semidirect
140. #1999C22semidirect
141. #1982C22semidirect
143. #1968C22semidirect
145. #1957C22semidirect
146. #1947C22semidirect
149. #1936C22semidirect
150. #1936C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1934C22semidirect
156. #1934C22semidirect
157. #1934C22semidirect
158. #1933C22semidirect
159. #1928C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1921C22semidirect
164. #1921C22semidirect
165. #1917C22semidirect
166. #1917C22semidirect
167. #1893C22semidirect
168. #1892C22semidirect
170. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
178. #1877C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1874C22semidirect
183. #1873C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1853C22semidirect
192. #1851C22semidirect
193. #1818C22semidirect
194. #1802C22semidirect
196. C8×C4⋊C4C22semidirect
197. C8×C4⋊C4C22semidirect
198. C4×#102C22semidirect
199. C4×#102C22semidirect
200. C8×C22⋊C4C22semidirect
201. C8×C22⋊C4C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1736C22semidirect
204. #1735C22semidirect
298. #466D4semidirect
842. #102#41semidirect

Maximal subgroups

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

subgroupindex
C2×#32942
C2×#31792
#448752
#448722
#309622
#307972
#307492
#304602
#289062
#285562
#283322
#277672
#272542
#269612
#269122
#268192
#268162
#266442
#261742
#255492
#252232
#250972
#249132
#244482
#240692
#239452
#231302
#229952
#228742
#215662
#210912