Finite Group Databasebeta

← #6488369

Subgroups — #6488369

Order 512.

2106 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
1#35171C211yesmaximal, characteristic, complemented
2C4×#546C211yesmaximal, characteristic, complemented
3#33006C211yesmaximal, characteristic, complemented
4#33002C211yesmaximal, characteristic, complemented
5#32904C211yesmaximal, characteristic, complemented
6#32902C211yesmaximal, characteristic, complemented
7#30112C211yesmaximal, characteristic, complemented
8#30108C211yesmaximal, characteristic, complemented
9#30015C211yesmaximal, characteristic, complemented
10#30010C211yesmaximal, characteristic, complemented
11#26954C211yesmaximal, characteristic, complemented
12#26947C211yesmaximal, characteristic, complemented
13#26684C211yesmaximal, characteristic, complemented
14#26677C211yesmaximal, characteristic, complemented
15#26544C211yesmaximal, characteristic, complemented
16#26248C211yesmaximal, characteristic, complemented
17#26124C211yesmaximal, characteristic, complemented
18#25770C211yesmaximal, characteristic, complemented
19#25380C211yesmaximal, characteristic, complemented
20#25174C211yesmaximal, characteristic, complemented
21#25168C211yesmaximal, characteristic, complemented
22#24982C211yesmaximal, characteristic, complemented
23#24913C211yesmaximal, characteristic, complemented
24#24911C211yesmaximal, characteristic, complemented
25#24744C211yesmaximal, characteristic, complemented
26#24257C211yesmaximal, characteristic, complemented
27#22272C211yesmaximal, characteristic, complemented
28#22155C211yesmaximal, characteristic, complemented
29#22014C211yesmaximal, characteristic, complemented
30#21503C211yesmaximal, characteristic, complemented
31#21122C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×#540—21no—
34C2×C4×#41C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#482C2211yescharacteristic, complemented
38C2×#480C2211yescharacteristic
39C2×#460C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#442C2211yescharacteristic
52C2×#442C2211yescharacteristic
53C2×#442C2211yescharacteristic
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic, complemented
56#2854C2211yescharacteristic
57#2854C2211yescharacteristic, complemented
58#2661—21no—
59#2661—21no—
60#2552C2211yescharacteristic, complemented
61#2541C2211yescharacteristic
62#2541C2211yescharacteristic, complemented
63#2537C2211yescharacteristic
64#2490—21no—
65#2464—21no—
66#2464—21no—
67#2428—21no—
68#2428C2211yescharacteristic
69#2428C2211yescharacteristic, complemented
70#2422C2211yescharacteristic
71#2422C2211yescharacteristic, complemented
72#2367C2211yescharacteristic
73#2364—21no—
74#2363C2211yescharacteristic
75#2360C2211yescharacteristic
76#2359—21no—
77#2358—21no—
78#2352C2211yescharacteristic
79#2349C2211yescharacteristic
80#2342—21no—
81#2339C2211yescharacteristic
82D4×C22⋊C4C2211yescharacteristic
83#2324—21no—
84C4×#127C2211yescharacteristic, complemented
85C4×#124C2211yescharacteristic
86C4×C22⋊Q8C2211yescharacteristic
87C4×#123—21no—
88C4×#121—21no—
89C4×#121C2211yescharacteristic
90C4×#120—21no—
91#2293C2211yescharacteristic, complemented
92C42×D4C2211yescharacteristic
93C42×D4C2211yescharacteristic
94C2×C4×C22⋊C4—21no—
95#2100C2211yescharacteristic, complemented
96#2099C2211yescharacteristic, complemented
97#2096C2211yescharacteristic, complemented
98#2094C2211yescharacteristic
99#2088C2211yescharacteristic, complemented
100#2087C2211yescharacteristic, complemented
101#2077C2211yescharacteristic
102#2077C2211yescharacteristic, complemented
103#2066C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2065C2211yescharacteristic, complemented
106#2065C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2054C2211yescharacteristic
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2035C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2014C2211yescharacteristic, complemented
120#2011C2211yescharacteristic
121#2000C2211yescharacteristic
122#2000C2211yescharacteristic
123#2000C2211yescharacteristic
124#1999C2211yescharacteristic
125#1999C2211yescharacteristic
126#1999C2211yescharacteristic
127#1983C2211yescharacteristic
128#1982C2211yescharacteristic, complemented
129#1973C2211yescharacteristic, complemented
130#1972C2211yescharacteristic
131#1961C2211yescharacteristic, complemented
132#1959C2211yescharacteristic
133#1955C2211yescharacteristic
134#1955C2211yescharacteristic
135#1949C2211yescharacteristic, complemented
136#1948C2211yescharacteristic, complemented
137#1940C2211yescharacteristic, complemented
138#1940C2211yescharacteristic, complemented
139#1936C2211yescharacteristic
140#1935C2211yescharacteristic, complemented
141#1926C2211yescharacteristic, complemented
142#1926C2211yescharacteristic, complemented
143#1926C2211yescharacteristic, complemented
144#1925C2211yescharacteristic, complemented
145#1924C2211yescharacteristic
146#1924C2211yescharacteristic
147#1924C2211yescharacteristic, complemented
148#1924C2211yescharacteristic, complemented
149#1920C2211yescharacteristic, complemented
150#1919C2211yescharacteristic, complemented
151#1880C2211yescharacteristic, complemented
152#1880C2211yescharacteristic, complemented
153#1880C2211yescharacteristic, complemented
154#1880C2211yescharacteristic, complemented
155#1879C2211yescharacteristic
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic
158#1879C2211yescharacteristic
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic
173#1865C2211yescharacteristic, complemented
174#1864C2211yescharacteristic
175#1864C2211yescharacteristic
176#1863C2211yescharacteristic, complemented
177#1862C2211yescharacteristic
178#1862C2211yescharacteristic
179#1862C2211yescharacteristic
180#1862C2211yescharacteristic
181#1836C2211yescharacteristic, complemented
182#1825C2211yescharacteristic, complemented
183#1823C2211yescharacteristic
184#1817C2211yescharacteristic
185#1817C2211yescharacteristic, complemented
186#1804C2211yescharacteristic, complemented
187#1803C2211yescharacteristic, complemented
188#1802C2211yescharacteristic
189#1802C2211yescharacteristic
190#1802C2211yescharacteristic
191#1802C2211yescharacteristic
192#1797C2211yescharacteristic
193#1797C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1786C2211yescharacteristic
196#1776C2211yescharacteristic, complemented
197#1767C2211yescharacteristic, complemented
198#1762C2211yescharacteristic
199#1762C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1745C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C24×C4—21no—
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215#546—24no—
216#546—24no—
217#540—48no—
218C2×#127—21no—
219C2×#127C2311yescharacteristic
220C2×#127C2311yescharacteristic
221C2×#127C2311yescharacteristic
222C2×#125—21no—
223C2×#124C2311yescharacteristic
224C2×#123—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×C22⋊Q8C2311yescharacteristic
230C2×#121—21no—
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#120—21no—
248C4×#41—42no—
249C4×#41—42no—
250C2×C4×Q8C2311yescharacteristic
251C2×C4×Q8C2311yescharacteristic
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4—21no—
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—42no—
260C2×C4×D4—42no—
261C2×C4×D4D411yescharacteristic
262C2×C4×D4D411yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
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×#117—21no—
275C2×#117—21no—
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C42—21no—
282C22×C42—21no—
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285#496—24no—
286#482—42no—
287#480—42no—
288#463—24no—
289#460—42no—
290#459—24no—
291#459—42no—
292#459—42no—
293#459—42no—
294#449—42no—
295#449—42no—
296#449—42no—
297#447—42no—
298#447—42no—
299#447—42no—
300#442—24no—
301#442—42no—
302#442—42no—
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×C4⋊C8C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×#97C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×#97C2311yescharacteristic
357C2×#97C2311yescharacteristic
358#398—21no—
359#398—21no—
360#397—21no—
361#397—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#392—21no—
369#392—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#391C2311yescharacteristic
375#391C2311yescharacteristic
376#390—21no—
377#390—21no—
378#390—21no—
379#390—21no—
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#389—21no—
393#389—21no—
394#389C2311yescharacteristic
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
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#388—21no—
412#388—21no—
413#387—21no—
414#387—21no—
415#387—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#386—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#384C2311yescharacteristic
435#384C2311yescharacteristic
436#384C2311yescharacteristic
437#382C2311yescharacteristic
438#381—21no—
439#380—21no—
440#380—21no—
441#380C2311yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#379—21no—
446C4×C4⋊C4—21no—
447C4×C4⋊C4D411yescharacteristic
448C4×C4⋊C4D411yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C4⋊C4C2311yescharacteristic
451C4×C4⋊C4C2311yescharacteristic
452C4×C4⋊C4C2311yescharacteristic
453C4×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466C4×C22⋊C4D411yescharacteristic
467C4×C22⋊C4D411yescharacteristic
468C4×C22⋊C4D411yescharacteristic
469C4×C22⋊C4D411yescharacteristic
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C2×#95—21no—
473C2×#95—21no—
474C43C2311yescharacteristic
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#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25—21no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8C2411yescharacteristic
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—21no—
518C22×D4—21no—
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—21no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4C2×D411yescharacteristic
533C22×D4C2411yescharacteristic
534C22×D4C2411yescharacteristic
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—44no—
551C23×C4—44no—
552C23×C4—82no—
553C23×C4C2×D411yescharacteristic
554C23×C4C2×D411yescharacteristic
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594#127—22no—
595#127—22no—
596#127—41no—
597#127—41no—
598#127—41no—
599#127—41no—
600#127—44no—
601#125—44no—
602#124—22no—
603#124#4114yes—
604#123—28no—
605#123—44no—
606#123—44no—
607#123—44no—
608#123—44no—
609C22⋊Q8—22no—
610C22⋊Q8—22no—
611#121—28no—
612#121—22no—
613#121—22no—
614#121—44no—
615#121—44no—
616#121—44no—
617#121—44no—
618#121—44no—
619#121—44no—
620#121—44no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—82no—
634#121—82no—
635#120—28no—
636C4×Q8—22no—
637C4×Q8—41no—
638C4×Q8—41no—
639C4×Q8—41no—
640C4×D4—22no—
641C4×D4—24no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—22no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—44no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—42no—
664C4×D4—44no—
665C4×D4—44no—
666C4×D4—44no—
667C4×D4—44no—
668C4×D4—82no—
669C4×D4—82no—
670C4×D4#4114yes—
671#117—22no—
672#117—44no—
673#117—44no—
674#117—41no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—21no—
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—21no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—28no—
707C2×C22⋊C4—21no—
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—44no—
749C2×C22⋊C4—44no—
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42—21no—
763C2×C42—41no—
764C2×C42—41no—
765C2×C42—41no—
766C2×C42—41no—
767C2×C42—44no—
768C2×C42—82no—
769C2×C42C2×D411yescharacteristic
770C2×C42C2×D411yescharacteristic
771C2×C42C2×D411yescharacteristic
772C2×C42C2×D411yescharacteristic
773C2×C42C2×D411yescharacteristic
774C2×C42C2×D411yescharacteristic
775C2×C42C2×D411yescharacteristic
776C2×C42C2×D411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782#107—22no—
783#107—41no—
784#106—22no—
785#106—41no—
786#106—41no—
787#106—41no—
788#106—41no—
789C4⋊C8—22no—
790C4⋊C8—22no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794C4⋊C8—41no—
795#103—22no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833#97—22no—
834#97—22no—
835#97—41no—
836#97—41no—
837#95—21no—
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#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863C24—21no—
864C24—24no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—42no—
870C24—42no—
871C24—42no—
872C24—42no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—44no—
879#41—44no—
880#41—44no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8C2×#4112yes—
887C2×D4—24no—
888C2×D4—24no—
889C2×D4—22no—
890C2×D4—24no—
891C2×D4—22no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
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—41no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—44no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—44no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
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×D4C2×#4112yes—
966C2×D4C2×#4112yes—
967C2×D4H(5,𝔽2)12yes—
968C2×D4H(5,𝔽2)12yes—
969C22×C4—24no—
970C22×C4—24no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—24no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
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—81no—
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—81no—
1039C22×C4—816no—
1040C22×C4AGL(1,ℤ/8)14yes—
1041C22×C4C22×D411yescharacteristic
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×C4C2511yescharacteristic
1054SD16—82no—
1055SD16—82no—
1056SD16—82no—
1057D8—44no—
1058D8—44no—
1059D8—44no—
1060D8—82no—
1061D8—82no—
1062D8—82no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
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—
1087C4⋊C4—24no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
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—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4C2×#4112yes—
1125C4⋊C4H(5,𝔽2)12yes—
1126C22⋊C4—24no—
1127C22⋊C4—24no—
1128C22⋊C4—24no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—24no—
1132C22⋊C4—24no—
1133C22⋊C4—24no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—41no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
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—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C42—22no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—41no—
1183C42—41no—
1184C42—41no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—42no—
1190C42—42no—
1191C42—42no—
1192C42—42no—
1193C42—42no—
1194C42—81no—
1195C42—81no—
1196C42C2×#4112yes—
1197C42C2×#4112yes—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—22no—
1202C23—22no—
1203C23—21no—
1204C23—22no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—22no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—48no—
1216C23—48no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
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—84no—
1249C23—84no—
1250C23—84no—
1251C23—84no—
1252C23—84no—
1253C23C2×AGL(1,ℤ/8)12yes—
1254C23C23×D411yescharacteristic
1255Q8—22no—
1256Q8—22no—
1257Q8—41no—
1258Q8—41no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—22no—
1263D4—22no—
1264D4—44no—
1265D4—48no—
1266D4—48no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4#54014yescomplemented
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
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—21no—
1329C2×C4—44no—
1330C2×C4—48no—
1331C2×C4—48no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
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—82no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—84no—
1375C2×C4—84no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—82no—
1379C2×C4—84no—
1380C2×C4—84no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4#52512yes—
1384C2×C4#52512yes—
1385C2×C4C2×AGL(1,ℤ/8)12yes—
1386C2×C4C2×AGL(1,ℤ/8)12yes—
1387C2×C4#57512yes—
1388C2×C4C22×#4111yescharacteristic
1389C2×C4C22×#4111yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4#58511yescharacteristic
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—24no—
1406C22—42no—
1407C22—42no—
1408C22—41no—
1409C22—42no—
1410C22—41no—
1411C22—42no—
1412C22—42no—
1413C22—41no—
1414C22—42no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—42no—
1422C22—41no—
1423C22—42no—
1424C22—41no—
1425C22—42no—
1426C22—816no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
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—81no—
1452C22C2×#52511yescharacteristic
1453C22#348411yescharacteristic
1454C22#348811yescharacteristic
1455C22C22×AGL(1,ℤ/8)11yescharacteristic
1456C22C2×#57511yescharacteristic
1457C22#358511yescharacteristic
1458C22#358511yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—42no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—42no—
1473C4—42no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4C2×#54011yescharacteristic
1483C4#346011yescharacteristic
1484C4#351311yescharacteristic
1485C4#351911yescharacteristic
1486C2—42no—
1487C2—44no—
1488C2—81no—
1489C2—82no—
1490C2—161no—
1491C2—161no—
1492C2—161no—
1493C2#3522611yescharacteristic
1494C2#6056111yescharacteristic
1495C2#6057411yescharacteristic
1496C2#6156911yescharacteristic
1497C2#6157911yescharacteristic
1498C2#6195911yescharacteristic
1499C2#6197411yescharacteristic
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. #35171C2semidirect
2. C4×#546C2semidirect
3. #33006C2semidirect
4. #33002C2semidirect
5. #32904C2semidirect
6. #32902C2semidirect
7. #30112C2semidirect
8. #30108C2semidirect
9. #30015C2semidirect
10. #30010C2semidirect
11. #26954C2semidirect
12. #26947C2semidirect
13. #26684C2semidirect
14. #26677C2semidirect
15. #26544C2semidirect
16. #26248C2semidirect
17. #26124C2semidirect
18. #25770C2semidirect
19. #25380C2semidirect
20. #25174C2semidirect
21. #25168C2semidirect
22. #24982C2semidirect
23. #24913C2semidirect
24. #24911C2semidirect
25. #24744C2semidirect
26. #24257C2semidirect
27. #22272C2semidirect
28. #22155C2semidirect
29. #22014C2semidirect
30. #21503C2semidirect
31. #21122C2semidirect
37. C2×#482C22semidirect
39. C2×#460C22semidirect
55. #2856C22semidirect
57. #2854C22semidirect
60. #2552C22semidirect
62. #2541C22semidirect
69. #2428C22semidirect
71. #2422C22semidirect
84. C4×#127C22semidirect
91. #2293C22semidirect
95. #2100C22semidirect
96. #2099C22semidirect
97. #2096C22semidirect
99. #2088C22semidirect
100. #2087C22semidirect
102. #2077C22semidirect
103. #2066C22semidirect
105. #2065C22semidirect
106. #2065C22semidirect
107. #2055C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2033C22semidirect
119. #2014C22semidirect
128. #1982C22semidirect
129. #1973C22semidirect
131. #1961C22semidirect
135. #1949C22semidirect
136. #1948C22semidirect
137. #1940C22semidirect
138. #1940C22semidirect
140. #1935C22semidirect
141. #1926C22semidirect
142. #1926C22semidirect
143. #1926C22semidirect
144. #1925C22semidirect
147. #1924C22semidirect
148. #1924C22semidirect
149. #1920C22semidirect
150. #1919C22semidirect
151. #1880C22semidirect
152. #1880C22semidirect
153. #1880C22semidirect
154. #1880C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
173. #1865C22semidirect
176. #1863C22semidirect
181. #1836C22semidirect
182. #1825C22semidirect
185. #1817C22semidirect
186. #1804C22semidirect
187. #1803C22semidirect
193. #1797C22semidirect
196. #1776C22semidirect
197. #1767C22semidirect
199. #1762C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. #1745C22semidirect
1294. D4#540semidirect

Maximal subgroups

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

subgroupindex
#351712
C4×#5462
#330062
#330022
#329042
#329022
#301122
#301082
#300152
#300102
#269542
#269472
#266842
#266772
#265442
#262482
#261242
#257702
#253802
#251742
#251682
#249822
#249132
#249112
#247442
#242572
#222722
#221552
#220142
#215032
#211222