Finite Group Databasebeta

← #7516606

Subgroups — #7516606

Order 512.

2127 conjugacy classes of subgroups.

The subgroup lattice has 1501 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3282C211yesmaximal, characteristic, complemented
2C2×#3122C211yesmaximal, characteristic, complemented
3#45094C211yesmaximal, characteristic, complemented
4#35791C211yesmaximal, characteristic, complemented
5#31154C211yesmaximal, characteristic, complemented
6#31011C211yesmaximal, characteristic, complemented
7#30737C211yesmaximal, characteristic, complemented
8#30667C211yesmaximal, characteristic, complemented
9#28359C211yesmaximal, characteristic, complemented
10#27251C211yesmaximal, characteristic, complemented
11#26960C211yesmaximal, characteristic, complemented
12#26592C211yesmaximal, characteristic, complemented
13#26378C211yesmaximal, characteristic, complemented
14#26262C211yesmaximal, characteristic, complemented
15#26164C211yesmaximal, characteristic, complemented
16#25507C211yesmaximal, characteristic, complemented
17#25235C211yesmaximal, characteristic, complemented
18#25211C211yesmaximal, characteristic, complemented
19#25170C211yesmaximal, characteristic, complemented
20#24915C211yesmaximal, characteristic, complemented
21#24735C211yesmaximal, characteristic, complemented
22#24514C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24364C211yesmaximal, characteristic, complemented
25#24359C211yesmaximal, characteristic, complemented
26#24047C211yesmaximal, characteristic, complemented
27#23007C211yesmaximal, characteristic, complemented
28#22901C211yesmaximal, characteristic, complemented
29#22880C211yesmaximal, characteristic, complemented
30#22448C211yesmaximal, characteristic, complemented
31#20933C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#540C2211yescharacteristic
37C2×#518C2211yescharacteristic
38#3282—28no—
39C2×#495C2211yescharacteristic
40#3122—28no—
41C2×#482C2211yescharacteristic
42C2×#482C2211yescharacteristic
43C2×#478C2211yescharacteristic
44C2×#478C2211yescharacteristic
45C2×#468C2211yescharacteristic
46C2×#465C2211yescharacteristic
47C2×#465C2211yescharacteristic
48C2×#464C2211yescharacteristic
49C2×#463C2211yescharacteristic
50C2×#463C2211yescharacteristic
51C2×#463C2211yescharacteristic
52C2×#459C2211yescharacteristic
53C2×#459C2211yescharacteristic
54C2×#452C2211yescharacteristic
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#451C2211yescharacteristic
58C2×#447C2211yescharacteristic
59C2×#447C2211yescharacteristic
60C2×#442C2211yescharacteristic
61C2×#442C2211yescharacteristic
62C2×C4×SD16C2211yescharacteristic
63C2×C4×D8C2211yescharacteristic
64C2×C4×D8C2211yescharacteristic
65C2×C4×D8C2211yescharacteristic
66C2×C8×D4C2211yescharacteristic
67C2×#433C2211yescharacteristic
68C2×#419C2211yescharacteristic
69C2×#418C2211yescharacteristic
70#2710—21no—
71#2699—21no—
72#2688—21no—
73#2687—21no—
74#2625C2211yescharacteristic
75#2622—21no—
76#2557—21no—
77#2544C2211yescharacteristic, complemented
78#2499C2211yescharacteristic
79#2489C2211yescharacteristic, complemented
80#2488—21no—
81#2485C2211yescharacteristic
82#2483—21no—
83#2453C2211yescharacteristic, complemented
84#2447C2211yescharacteristic
85#2447C2211yescharacteristic
86#2447C2211yescharacteristic, complemented
87#2444—21no—
88#2444—21no—
89#2443—21no—
90#2436C2211yescharacteristic
91#2431C2211yescharacteristic, complemented
92#2427C2211yescharacteristic, complemented
93#2422C2211yescharacteristic
94#2420—21no—
95#2420C2211yescharacteristic
96#2419—21no—
97#2419—21no—
98#2414C2211yescharacteristic
99#2412—21no—
100#2395C2211yescharacteristic
101C2×#397—21no—
102#2367C2211yescharacteristic, complemented
103#2363C2211yescharacteristic
104#2349C2211yescharacteristic
105D4×C4⋊C4C2211yescharacteristic
106#2339C2211yescharacteristic
107#2339C2211yescharacteristic
108#2339C2211yescharacteristic, complemented
109D4×C22⋊C4C2211yescharacteristic
110#2310C2211yescharacteristic
111#2097C2211yescharacteristic, complemented
112#2095C2211yescharacteristic, complemented
113#2087C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2071C2211yescharacteristic, complemented
117#2068C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2066C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2055C2211yescharacteristic
125#2055C2211yescharacteristic
126#2055C2211yescharacteristic, complemented
127#2042C2211yescharacteristic
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic
135#2026C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2015C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#1999C2211yescharacteristic
143#1972C2211yescharacteristic
144#1971C2211yescharacteristic, complemented
145#1971C2211yescharacteristic, complemented
146#1969C2211yescharacteristic, complemented
147#1969C2211yescharacteristic, complemented
148#1959C2211yescharacteristic, complemented
149#1958C2211yescharacteristic, complemented
150#1948C2211yescharacteristic, complemented
151#1941C2211yescharacteristic, complemented
152#1939C2211yescharacteristic, complemented
153#1935C2211yescharacteristic, complemented
154#1934C2211yescharacteristic
155#1934C2211yescharacteristic, complemented
156#1933C2211yescharacteristic, complemented
157#1928C2211yescharacteristic, complemented
158#1925C2211yescharacteristic
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1916C2211yescharacteristic, complemented
163#1895C2211yescharacteristic
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic, complemented
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1873C2211yescharacteristic
183#1870C2211yescharacteristic
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic
189#1862C2211yescharacteristic, complemented
190#1854C2211yescharacteristic
191#1850C2211yescharacteristic
192#1850C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic
199#1771C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201#1753C2211yescharacteristic
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1735C2211yescharacteristic
204#1729C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×#135—24no—
210C2×#135—24no—
211C2×#135—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16—24no—
215C22×SD16—24no—
216C22×SD16—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230#548—24no—
231#548—42no—
232#546—24no—
233#546—42no—
234#540—24no—
235#540—42no—
236C2×#127C2311yescharacteristic
237C2×#125C2311yescharacteristic
238C2×#124—21no—
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#120—21no—
259#518—24no—
260#518—42no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C22×C4⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282C22×C22⋊C4—21no—
283C22×C22⋊C4—21no—
284#495—24no—
285#482—24no—
286#482—24no—
287#478—24no—
288#478—24no—
289#468—42no—
290#465—24no—
291#465—24no—
292#464—24no—
293#463—24no—
294#463—24no—
295#463—42no—
296#459—24no—
297#459—24no—
298#452—24no—
299#451—24no—
300#449—24no—
301#449—42no—
302#447—24no—
303#447D418yescomplemented
304#442—24no—
305#442—24no—
306C4×SD16—24no—
307C4×D8—24no—
308C4×D8—24no—
309C4×D8—42no—
310C8×D4—24no—
311#433—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
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325#419—42no—
326#418—42no—
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×#97C2311yescharacteristic
365C2×#97C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368C2×C4×C8C2311yescharacteristic
369#400—21no—
370#400—21no—
371#400—21no—
372#400D411yescharacteristic
373#399D411yescharacteristic
374#398—21no—
375#398—21no—
376#398D411yescharacteristic
377#397—21no—
378#397—21no—
379#397—21no—
380#397—21no—
381#397—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397D411yescharacteristic
393#397D411yescharacteristic
394#397D411yescharacteristic
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394D411yescharacteristic
403#394D411yescharacteristic
404#393—21no—
405#393—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#391—21no—
410#391—21no—
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#391C2311yescharacteristic
420#391C2311yescharacteristic
421#390—21no—
422#390—21no—
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#389—21no—
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—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#386—21no—
459#386—21no—
460#386—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#385—21no—
470#384C2311yescharacteristic
471#382—21no—
472#382C2311yescharacteristic
473#381—21no—
474#381—21no—
475#381—21no—
476#381—21no—
477#381—21no—
478#381—21no—
479#381—21no—
480#381—21no—
481#381—21no—
482#380—21no—
483#380—21no—
484#380—21no—
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#379—21no—
490C4×C4⋊C4C2311yescharacteristic
491C4×C4⋊C4C2311yescharacteristic
492C4×C4⋊C4C2311yescharacteristic
493C4×C22⋊C4—21no—
494C4×C22⋊C4—21no—
495C4×C22⋊C4C2311yescharacteristic
496C4×C22⋊C4C2311yescharacteristic
497C4×C22⋊C4C2311yescharacteristic
498C2×#95—21no—
499C2×#95—21no—
500C2×#95—21no—
501C2×#95—21no—
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C22×Q8—21no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—22no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8C2411yescharacteristic
545C22×Q8C2411yescharacteristic
546C22×Q8C2411yescharacteristic
547C22×D4—22no—
548C22×D4—22no—
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—22no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4C2×D414yes—
562C22×D4C2×D411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
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×C4—21no—
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582#135—416no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—22no—
586C2×Q16—41no—
587C2×Q16—41no—
588C2×Q16—41no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—416no—
607C2×SD16#4114yes—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8C2×D414yes—
619C2×D8C2×D414yes—
620C2×M16—22no—
621C2×M16—41no—
622C2×M16—41no—
623C22×C8—22no—
624C22×C8—22no—
625C22×C8—22no—
626C22×C8—22no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637#127—22no—
638#127—41no—
639#125—22no—
640#125—41no—
641#124—22no—
642#124—22no—
643#124—22no—
644#124—41no—
645#124—41no—
646#124—41no—
647#124—41no—
648#124—41no—
649#124—44no—
650#123—44no—
651#123—44no—
652#123—44no—
653#123—82no—
654C22⋊Q8—22no—
655C22⋊Q8—22no—
656C22⋊Q8—22no—
657C22⋊Q8—44no—
658C22⋊Q8—41no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—44no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—44no—
668#121—41no—
669#121—41no—
670#121C2×D414yes—
671#120—44no—
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—22no—
683C4×D4—22no—
684C4×D4—22no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—44no—
697C4×D4—44no—
698C4×D4—44no—
699#117—22no—
700#117—22no—
701#117—22no—
702#117—22no—
703#117—41no—
704#117—41no—
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—82no—
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
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—44no—
774C2×C22⋊C4—44no—
775C2×C22⋊C4—44no—
776C2×C22⋊C4—82no—
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796#107—22no—
797#107—22no—
798#107—41no—
799#107—41no—
800#106—22no—
801#106—22no—
802#106—22no—
803#106—41no—
804C4⋊C8—22no—
805C4⋊C8—22no—
806C4⋊C8—22no—
807C4⋊C8—22no—
808C4⋊C8—41no—
809#103—22no—
810#103—22no—
811#103—22no—
812#103—22no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
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—22no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102C2×D414yes—
840#102C2×D414yes—
841C22⋊C8—22no—
842C22⋊C8—22no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8C2×D414yes—
846#97—22no—
847#97—41no—
848C4×C8—22no—
849C4×C8—22no—
850C4×C8—41no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
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#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890#95C2×D411yescharacteristic
891#95C2×D411yescharacteristic
892#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894C24—21no—
895C24—21no—
896C24—21no—
897C24—24no—
898C24—21no—
899C24—42no—
900C24—42no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24C22×D411yescharacteristic
906C24C22×D411yescharacteristic
907#41—44no—
908#41—44no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—82no—
913#41—82no—
914#41—82no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—42no—
933C2×Q8—44no—
934C2×Q8—44no—
935C2×Q8—42no—
936C2×Q8—81no—
937C2×Q8—82no—
938C2×Q8—82no—
939C2×Q8C2×#4112yes—
940C2×D4—28no—
941C2×D4—22no—
942C2×D4—24no—
943C2×D4—24no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—44no—
964C2×D4—44no—
965C2×D4—44no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—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—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4C22×D412yes—
994C2×D4C22×D412yes—
995C2×D4C22×D412yes—
996C2×D4C2×#4112yes—
997C2×D4H(5,𝔽2)12yes—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
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—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
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—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
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×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D412yes—
1072C22×C4H(5,𝔽2)12yes—
1073C22×C4C2511yescharacteristic
1074Q16—44no—
1075Q16—82no—
1076SD16—28no—
1077SD16—44no—
1078SD16—44no—
1079SD16—44no—
1080SD16—44no—
1081SD16—82no—
1082D8—28no—
1083D8—44no—
1084D8—44no—
1085D8—44no—
1086M16—82no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—44no—
1109C2×C8—44no—
1110C2×C8C22×D412yes—
1111C2×C8C22×D412yes—
1112C2×C8C2×#4112yes—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
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—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4C22×D412yes—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—24no—
1155C22⋊C4—22no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
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—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—42no—
1210C42—42no—
1211C42—81no—
1212C42—81no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—22no—
1218C23—22no—
1219C23—21no—
1220C23—22no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—22no—
1227C23—21no—
1228C23—22no—
1229C23—21no—
1230C23—21no—
1231C23—48no—
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—84no—
1256C23—84no—
1257C23—162no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23D4212yes—
1262C23C23×D411yescharacteristic
1263Q8—22no—
1264Q8—22no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—84no—
1276D4—22no—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—48no—
1284D4—44no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—84no—
1294D4—84no—
1295D4—84no—
1296D4—162no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301D4#54614yes—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—84no—
1382C2×C4—84no—
1383C2×C4—84no—
1384C2×C4—84no—
1385C2×C4—162no—
1386C2×C4—162no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4—162no—
1390C2×C4—162no—
1391C2×C4—162no—
1392C2×C4—162no—
1393C2×C4—162no—
1394C2×C4D4212yes—
1395C2×C4C23×D411yescharacteristic
1396C2×C4C22×#4111yescharacteristic
1397C2×C4C2×H(5,𝔽2)11yescharacteristic
1398C2×C4C2×H(5,𝔽2)11yescharacteristic
1399C2×C4#58511yescharacteristic
1400C2×C4#58511yescharacteristic
1401C8—22no—
1402C8—22no—
1403C8—22no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C22—22no—
1410C22—24no—
1411C22—22no—
1412C22—22no—
1413C22—41no—
1414C22—42no—
1415C22—42no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—41no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—41no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—41no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—168no—
1452C22C2×D4211yescharacteristic
1453C22D4×#4111yescharacteristic
1454C22#348811yescharacteristic
1455C22#358411yescharacteristic
1456C22#358411yescharacteristic
1457C22#358411yescharacteristic
1458C22#358511yescharacteristic
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—42no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—42no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4C2×#54611yescharacteristic
1484C4#348511yescharacteristic
1485C4#351311yescharacteristic
1486C4#353411yescharacteristic
1487C2—42no—
1488C2—44no—
1489C2—81no—
1490C2—82no—
1491C2—82no—
1492C2—161no—
1493C2#5899411yescharacteristic
1494C2#6105111yescharacteristic
1495C2#6109211yescharacteristic
1496C2#6148611yescharacteristic
1497C2#6153511yescharacteristic
1498C2#6201111yescharacteristic
1499C2#6205911yescharacteristic
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×#3282C2semidirect
2. C2×#3122C2semidirect
3. #45094C2semidirect
4. #35791C2semidirect
5. #31154C2semidirect
6. #31011C2semidirect
7. #30737C2semidirect
8. #30667C2semidirect
9. #28359C2semidirect
10. #27251C2semidirect
11. #26960C2semidirect
12. #26592C2semidirect
13. #26378C2semidirect
14. #26262C2semidirect
15. #26164C2semidirect
16. #25507C2semidirect
17. #25235C2semidirect
18. #25211C2semidirect
19. #25170C2semidirect
20. #24915C2semidirect
21. #24735C2semidirect
22. #24514C2semidirect
23. #24450C2semidirect
24. #24364C2semidirect
25. #24359C2semidirect
26. #24047C2semidirect
27. #23007C2semidirect
28. #22901C2semidirect
29. #22880C2semidirect
30. #22448C2semidirect
31. #20933C2semidirect
77. #2544C22semidirect
79. #2489C22semidirect
83. #2453C22semidirect
86. #2447C22semidirect
91. #2431C22semidirect
92. #2427C22semidirect
102. #2367C22semidirect
108. #2339C22semidirect
111. #2097C22semidirect
112. #2095C22semidirect
113. #2087C22semidirect
114. #2085C22semidirect
115. #2077C22semidirect
116. #2071C22semidirect
117. #2068C22semidirect
118. #2067C22semidirect
119. #2066C22semidirect
120. #2066C22semidirect
121. #2059C22semidirect
122. #2056C22semidirect
123. #2056C22semidirect
126. #2055C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
133. #2034C22semidirect
135. #2026C22semidirect
136. #2015C22semidirect
137. #2015C22semidirect
138. #2014C22semidirect
144. #1971C22semidirect
145. #1971C22semidirect
146. #1969C22semidirect
147. #1969C22semidirect
148. #1959C22semidirect
149. #1958C22semidirect
150. #1948C22semidirect
151. #1941C22semidirect
152. #1939C22semidirect
153. #1935C22semidirect
155. #1934C22semidirect
156. #1933C22semidirect
157. #1928C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1916C22semidirect
162. #1916C22semidirect
165. #1893C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
184. #1865C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
189. #1862C22semidirect
192. #1850C22semidirect
193. #1808C22semidirect
194. #1804C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
199. #1771C22semidirect
202. C8×C22⋊C4C22semidirect
303. #447D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32822
C2×#31222
#450942
#357912
#311542
#310112
#307372
#306672
#283592
#272512
#269602
#265922
#263782
#262622
#261642
#255072
#252352
#252112
#251702
#249152
#247352
#245142
#244502
#243642
#243592
#240472
#230072
#229012
#228802
#224482
#209332