Finite Group Databasebeta

← #6472008

Subgroups — #6472008

Order 512.

2177 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35007C211yesmaximal, characteristic, complemented
2C4×#546C211yesmaximal, characteristic, complemented
3#33080C211yesmaximal, characteristic, complemented
4#33030C211yesmaximal, characteristic, complemented
5#33002C211yesmaximal, characteristic, complemented
6#32902C211yesmaximal, characteristic, complemented
7#30134C211yesmaximal, characteristic, complemented
8#30108C211yesmaximal, characteristic, complemented
9#30045C211yesmaximal, characteristic, complemented
10#30010C211yesmaximal, characteristic, complemented
11#27574C211yesmaximal, characteristic, complemented
12#27243C211yesmaximal, characteristic, complemented
13#27090C211yesmaximal, characteristic, complemented
14#26741C211yesmaximal, characteristic, complemented
15#26644C211yesmaximal, characteristic, complemented
16#26612C211yesmaximal, characteristic, complemented
17#26427C211yesmaximal, characteristic, complemented
18#26219C211yesmaximal, characteristic, complemented
19#26178C211yesmaximal, characteristic, complemented
20#25978C211yesmaximal, characteristic, complemented
21#25168C211yesmaximal, characteristic, complemented
22#25097C211yesmaximal, characteristic, complemented
23#24882C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24372C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#22187C211yesmaximal, characteristic, complemented
28#22046C211yesmaximal, characteristic, complemented
29#22002C211yesmaximal, characteristic, complemented
30#21456C211yesmaximal, characteristic, complemented
31#20928C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#538—21no—
35C2×C4×#41C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic
38C2×#476C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic
40C2×#459C2211yescharacteristic
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic, complemented
48C2×#442C2211yescharacteristic, complemented
49C2×#440C2211yescharacteristic, complemented
50C2×#417C2211yescharacteristic
51C2×#418C2211yescharacteristic, complemented
52#2860C2211yescharacteristic, complemented
53#2858C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2854C2211yescharacteristic
56#2662—21no—
57#2661—21no—
58#2555—21no—
59#2554—21no—
60#2512C2211yescharacteristic, complemented
61#2491C2211yescharacteristic
62#2472—21no—
63#2445C2211yescharacteristic, complemented
64#2440C2211yescharacteristic, complemented
65#2433C2211yescharacteristic, complemented
66#2428C2211yescharacteristic
67#2424—21no—
68#2416C2211yescharacteristic
69#2408C2211yescharacteristic
70#2367C2211yescharacteristic, complemented
71#2364—21no—
72#2363C2211yescharacteristic
73#2360C2211yescharacteristic, complemented
74#2359—21no—
75#2358—21no—
76#2352C2211yescharacteristic
77#2349C2211yescharacteristic, complemented
78#2342—21no—
79#2339C2211yescharacteristic
80D4×C22⋊C4C2211yescharacteristic, complemented
81#2321—21no—
82C4×#124C2211yescharacteristic, complemented
83C4×C22⋊Q8C2211yescharacteristic, complemented
84C4×#123—21no—
85C4×#121—21no—
86C4×#121C2211yescharacteristic
87C4×#121C2211yescharacteristic, complemented
88C4×#120—21no—
89C2×#390C2211yescharacteristic, complemented
90C42×D4C2211yescharacteristic
91C42×D4C2211yescharacteristic, complemented
92C2×C4×C22⋊C4—21no—
93#2101C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2096C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2073C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2068C2211yescharacteristic, complemented
102#2066C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2042C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2024C2211yescharacteristic, complemented
115#2023C2211yescharacteristic, complemented
116#2014C2211yescharacteristic, complemented
117#2014C2211yescharacteristic, complemented
118#2012C2211yescharacteristic
119#2012C2211yescharacteristic
120#2012C2211yescharacteristic, complemented
121#2011C2211yescharacteristic
122#2000C2211yescharacteristic
123#2000C2211yescharacteristic
124#2000C2211yescharacteristic, complemented
125#1987C2211yescharacteristic, complemented
126#1982C2211yescharacteristic, complemented
127#1972C2211yescharacteristic
128#1972C2211yescharacteristic
129#1936C2211yescharacteristic, complemented
130#1936C2211yescharacteristic, complemented
131#1926C2211yescharacteristic, complemented
132#1926C2211yescharacteristic, complemented
133#1926C2211yescharacteristic, complemented
134#1926C2211yescharacteristic, complemented
135#1926C2211yescharacteristic, complemented
136#1926C2211yescharacteristic, complemented
137#1926C2211yescharacteristic, complemented
138#1925C2211yescharacteristic, complemented
139#1924C2211yescharacteristic, complemented
140#1924C2211yescharacteristic, complemented
141#1921C2211yescharacteristic, complemented
142#1920C2211yescharacteristic, complemented
143#1919C2211yescharacteristic, complemented
144#1919C2211yescharacteristic, complemented
145#1917C2211yescharacteristic, complemented
146#1917C2211yescharacteristic, complemented
147#1895C2211yescharacteristic
148#1895C2211yescharacteristic, complemented
149#1880C2211yescharacteristic, complemented
150#1880C2211yescharacteristic, complemented
151#1880C2211yescharacteristic, complemented
152#1880C2211yescharacteristic, complemented
153#1880C2211yescharacteristic, complemented
154#1879C2211yescharacteristic
155#1879C2211yescharacteristic
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic
158#1879C2211yescharacteristic
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1874C2211yescharacteristic
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic, complemented
173#1870C2211yescharacteristic
174#1870C2211yescharacteristic
175#1865C2211yescharacteristic, complemented
176#1864C2211yescharacteristic, complemented
177#1864C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1839C2211yescharacteristic, complemented
188#1831C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1797C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1763C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1749C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4—21no—
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221#546—24no—
222#546—24no—
223#538—48no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#126—21no—
228C2×#126—21no—
229C2×#124—21no—
230C2×#124—21no—
231C2×#124—21no—
232C2×#124C2311yescharacteristic
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#120—21no—
249C2×#120—21no—
250C2×#120—21no—
251C2×#120—21no—
252C4×#41—42no—
253C4×#41—42no—
254C2×C4×Q8C2311yescharacteristic
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—42no—
263C2×C4×D4—42no—
264C2×C4×D4D411yescharacteristic
265C2×C4×D4D411yescharacteristic
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×#117—21no—
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282C22×C22⋊C4—21no—
283C22×C22⋊C4—21no—
284C22×C42—21no—
285C22×C42—21no—
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288#480—42no—
289#476—42no—
290#469—24no—
291#459—42no—
292#459—42no—
293#459—42no—
294#449—24no—
295#447—24no—
296#447—42no—
297#447—42no—
298#447—42no—
299#442—42no—
300#440—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312#418—42no—
313#417—42no—
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352#398—21no—
353#397—21no—
354#396—21no—
355#396—21no—
356#395—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#393—21no—
364#392—21no—
365#392—21no—
366#392—21no—
367#392—21no—
368#391C2311yescharacteristic
369#391C2311yescharacteristic
370#390—21no—
371#390—21no—
372#390—21no—
373#390—21no—
374#390—21no—
375#390—21no—
376#390—21no—
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#389—21no—
390#389C2311yescharacteristic
391#389C2311yescharacteristic
392#389C2311yescharacteristic
393#389C2311yescharacteristic
394#389C2311yescharacteristic
395#389C2311yescharacteristic
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#388—21no—
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#387—21no—
412#387—21no—
413#387—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#384C2311yescharacteristic
433#382C2311yescharacteristic
434#381—21no—
435#380—21no—
436#380C2311yescharacteristic
437#380C2311yescharacteristic
438#380C2311yescharacteristic
439#380C2311yescharacteristic
440#379—21no—
441#379—21no—
442C4×C4⋊C4—21no—
443C4×C4⋊C4D411yescharacteristic
444C4×C4⋊C4D411yescharacteristic
445C4×C4⋊C4C2311yescharacteristic
446C4×C4⋊C4C2311yescharacteristic
447C4×C4⋊C4C2311yescharacteristic
448C4×C4⋊C4C2311yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C22⋊C4—21no—
451C4×C22⋊C4—21no—
452C4×C22⋊C4—21no—
453C4×C22⋊C4—21no—
454C4×C22⋊C4—21no—
455C4×C22⋊C4—21no—
456C4×C22⋊C4—21no—
457C4×C22⋊C4—21no—
458C4×C22⋊C4—21no—
459C4×C22⋊C4—21no—
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4D411yescharacteristic
463C4×C22⋊C4D411yescharacteristic
464C4×C22⋊C4D411yescharacteristic
465C4×C22⋊C4D411yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468C2×#95—21no—
469C2×#95—21no—
470C43C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25—21no—
504C25—21no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41#4114yes—
511C22×Q8—21no—
512C22×Q8C2411yescharacteristic
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4C2×D411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—44no—
555C23×C4—44no—
556C23×C4—82no—
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D411yescharacteristic
559C23×C4C2×D411yescharacteristic
560C23×C4C2×D411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563AGL(1,ℤ/8)—416no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×M16—22no—
592C2×M16—22no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C2×M16—41no—
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C4⋊Q8—41no—
606C4⋊Q8—41no—
607#127—41no—
608#127—41no—
609#127—41no—
610#127—41no—
611#126—44no—
612#126—44no—
613#124—22no—
614#124—22no—
615#124—44no—
616#124—44no—
617#124—82no—
618#123—28no—
619#123—44no—
620#123—44no—
621C22⋊Q8—22no—
622C22⋊Q8—22no—
623C22⋊Q8—44no—
624#121—28no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—44no—
629#121—44no—
630#121—44no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—82no—
638#121#4114yes—
639#120—28no—
640#120—44no—
641#120—44no—
642#120—44no—
643C4×Q8—22no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—24no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—22no—
658C4×D4—42no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—44no—
668C4×D4—44no—
669C4×D4—44no—
670C4×D4—44no—
671C4×D4—44no—
672C4×D4—82no—
673#117—22no—
674#117—44no—
675#117—41no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—22no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C22⋊C4—28no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
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—44no—
754C2×C22⋊C4—44no—
755C2×C22⋊C4—44no—
756C2×C22⋊C4—82no—
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—41no—
771C2×C42—41no—
772C2×C42—41no—
773C2×C42—41no—
774C2×C42—44no—
775C2×C42—82no—
776C2×C42C2×D411yescharacteristic
777C2×C42C2×D411yescharacteristic
778C2×C42C2×D411yescharacteristic
779C2×C42C2×D411yescharacteristic
780C2×C42C2×D411yescharacteristic
781C2×C42C2×D411yescharacteristic
782C2×C42C2×D411yescharacteristic
783C2×C42C2×D411yescharacteristic
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789#107—22no—
790#107—41no—
791#106—22no—
792#106—41no—
793#106—41no—
794#106—41no—
795#106—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799C4⋊C8—41no—
800#103—22no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836#97—41no—
837#97—41no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864C24—21no—
865C24—24no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—42no—
871C24—42no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—42no—
876C24—42no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885#41—28no—
886#41—44no—
887#41—44no—
888#41—44no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—42no—
895C2×Q8—81no—
896C2×Q8—81no—
897C2×Q8C2×#4112yes—
898C2×D4—24no—
899C2×D4—22no—
900C2×D4—24no—
901C2×D4—22no—
902C2×D4—24no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—41no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—44no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—44no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—82no—
952C2×D4—82no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4C2×#4112yes—
972C2×D4C2×#4112yes—
973C2×D4H(5,𝔽2)12yes—
974C2×D4H(5,𝔽2)12yes—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—24no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—24no—
984C22×C4—24no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—22no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
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—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—816no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4AGL(1,ℤ/8)14yescomplemented
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C2×#4112yes—
1055C22×C4C2×#4112yes—
1056C22×C4C2511yescharacteristic
1057SD16—44no—
1058SD16—44no—
1059SD16—44no—
1060D8—44no—
1061D8—44no—
1062D8—44no—
1063D8—82no—
1064D8—82no—
1065D8—82no—
1066M16—44no—
1067M16—82no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
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—
1092C4⋊C4—24no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—41no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4C2×#4112yes—
1128C4⋊C4H(5,𝔽2)12yes—
1129C22⋊C4—24no—
1130C22⋊C4—24no—
1131C22⋊C4—24no—
1132C22⋊C4—24no—
1133C22⋊C4—24no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—24no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C42—22no—
1181C42—22no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—41no—
1193C42—41no—
1194C42—41no—
1195C42—41no—
1196C42—41no—
1197C42—41no—
1198C42—42no—
1199C42—42no—
1200C42—42no—
1201C42—42no—
1202C42—42no—
1203C42—81no—
1204C42—81no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—22no—
1212C23—21no—
1213C23—21no—
1214C23—22no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—22no—
1221C23—48no—
1222C23—48no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—84no—
1255C23—84no—
1256C23—84no—
1257C23—84no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—84no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23#52512yes—
1267C23C2×AGL(1,ℤ/8)12yes—
1268C23C23×D411yescharacteristic
1269Q8—22no—
1270Q8—22no—
1271Q8—41no—
1272Q8—41no—
1273Q8—162no—
1274D4—22no—
1275D4—22no—
1276D4—22no—
1277D4—22no—
1278D4—22no—
1279D4—44no—
1280D4—48no—
1281D4—48no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—84no—
1297D4—84no—
1298D4—84no—
1299D4—162no—
1300D4—162no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4#53814yescomplemented
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
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—22no—
1329C2×C4—22no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—22no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—44no—
1347C2×C4—48no—
1348C2×C4—48no—
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—41no—
1382C2×C4—41no—
1383C2×C4—82no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—84no—
1387C2×C4—84no—
1388C2×C4—84no—
1389C2×C4—82no—
1390C2×C4—82no—
1391C2×C4—84no—
1392C2×C4—84no—
1393C2×C4—162no—
1394C2×C4—162no—
1395C2×C4#52512yes—
1396C2×C4C2×AGL(1,ℤ/8)12yes—
1397C2×C4C2×AGL(1,ℤ/8)12yes—
1398C2×C4#57512yes—
1399C2×C4C22×#4111yescharacteristic
1400C2×C4C22×#4111yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4#58511yescharacteristic
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—24no—
1420C22—41no—
1421C22—42no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—42no—
1428C22—41no—
1429C22—41no—
1430C22—42no—
1431C22—42no—
1432C22—41no—
1433C22—41no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—816no—
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—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—168no—
1464C22C2×#52511yescharacteristic
1465C22#348411yescharacteristic
1466C22#348811yescharacteristic
1467C22C22×AGL(1,ℤ/8)11yescharacteristic
1468C22C2×#57511yescharacteristic
1469C22#358511yescharacteristic
1470C22#358511yescharacteristic
1471C4—22no—
1472C4—22no—
1473C4—22no—
1474C4—22no—
1475C4—41no—
1476C4—41no—
1477C4—42no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—42no—
1484C4—41no—
1485C4—42no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4C2×#53811yescharacteristic
1495C4#345911yescharacteristic
1496C4#351311yescharacteristic
1497C4#351911yescharacteristic
1498C2—42no—
1499C2—42no—
1500C2—44no—
1501C2—82no—
1502C2—161no—
1503C2—161no—
1504C2—161no—
1505C2#3499011yescharacteristic
1506C2#6056111yescharacteristic
1507C2#6057411yescharacteristic
1508C2#6156911yescharacteristic
1509C2#6159011yescharacteristic
1510C2#6195911yescharacteristic
1511C2#6197111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35007C2semidirect
2. C4×#546C2semidirect
3. #33080C2semidirect
4. #33030C2semidirect
5. #33002C2semidirect
6. #32902C2semidirect
7. #30134C2semidirect
8. #30108C2semidirect
9. #30045C2semidirect
10. #30010C2semidirect
11. #27574C2semidirect
12. #27243C2semidirect
13. #27090C2semidirect
14. #26741C2semidirect
15. #26644C2semidirect
16. #26612C2semidirect
17. #26427C2semidirect
18. #26219C2semidirect
19. #26178C2semidirect
20. #25978C2semidirect
21. #25168C2semidirect
22. #25097C2semidirect
23. #24882C2semidirect
24. #24444C2semidirect
25. #24372C2semidirect
26. #23861C2semidirect
27. #22187C2semidirect
28. #22046C2semidirect
29. #22002C2semidirect
30. #21456C2semidirect
31. #20928C2semidirect
36. C22×C4×D4C22semidirect
38. C2×#476C22semidirect
47. C2×#447C22semidirect
48. C2×#442C22semidirect
49. C2×#440C22semidirect
51. C2×#418C22semidirect
52. #2860C22semidirect
53. #2858C22semidirect
60. #2512C22semidirect
63. #2445C22semidirect
64. #2440C22semidirect
65. #2433C22semidirect
70. #2367C22semidirect
73. #2360C22semidirect
77. #2349C22semidirect
80. D4×C22⋊C4C22semidirect
82. C4×#124C22semidirect
83. C4×C22⋊Q8C22semidirect
87. C4×#121C22semidirect
89. C2×#390C22semidirect
91. C42×D4C22semidirect
93. #2101C22semidirect
94. #2099C22semidirect
95. #2096C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2077C22semidirect
99. #2073C22semidirect
100. #2073C22semidirect
101. #2068C22semidirect
102. #2066C22semidirect
103. #2065C22semidirect
104. #2065C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
108. #2042C22semidirect
109. #2041C22semidirect
110. #2035C22semidirect
113. #2034C22semidirect
114. #2024C22semidirect
115. #2023C22semidirect
116. #2014C22semidirect
117. #2014C22semidirect
120. #2012C22semidirect
124. #2000C22semidirect
125. #1987C22semidirect
126. #1982C22semidirect
129. #1936C22semidirect
130. #1936C22semidirect
131. #1926C22semidirect
132. #1926C22semidirect
133. #1926C22semidirect
134. #1926C22semidirect
135. #1926C22semidirect
136. #1926C22semidirect
137. #1926C22semidirect
138. #1925C22semidirect
139. #1924C22semidirect
140. #1924C22semidirect
141. #1921C22semidirect
142. #1920C22semidirect
143. #1919C22semidirect
144. #1919C22semidirect
145. #1917C22semidirect
146. #1917C22semidirect
148. #1895C22semidirect
149. #1880C22semidirect
150. #1880C22semidirect
151. #1880C22semidirect
152. #1880C22semidirect
153. #1880C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1875C22semidirect
172. #1874C22semidirect
175. #1865C22semidirect
176. #1864C22semidirect
177. #1864C22semidirect
178. #1862C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1853C22semidirect
185. #1851C22semidirect
186. #1851C22semidirect
187. #1839C22semidirect
188. #1831C22semidirect
189. #1823C22semidirect
190. #1817C22semidirect
191. #1809C22semidirect
192. #1802C22semidirect
193. #1802C22semidirect
194. #1797C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1763C22semidirect
199. #1762C22semidirect
200. #1749C22semidirect
201. #1736C22semidirect
202. #1728C22semidirect
1041. C22×C4AGL(1,ℤ/8)semidirect
1306. D4#538semidirect

Maximal subgroups

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

subgroupindex
#350072
C4×#5462
#330802
#330302
#330022
#329022
#301342
#301082
#300452
#300102
#275742
#272432
#270902
#267412
#266442
#266122
#264272
#262192
#261782
#259782
#251682
#250972
#248822
#244442
#243722
#238612
#221872
#220462
#220022
#214562
#209282