Finite Group Databasebeta

← #6690328

Subgroups — #6690328

Order 512.

2035 conjugacy classes of subgroups.

The subgroup lattice has 1455 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39376C211yesmaximal, characteristic, complemented
2#36214C211yesmaximal, characteristic
3#32956C211yesmaximal, characteristic, complemented
4#32104C211yesmaximal, characteristic, complemented
5#32081C211yesmaximal, characteristic, complemented
6#32020C211yesmaximal, characteristic, complemented
7#32002C211yesmaximal, characteristic, complemented
8#31514C211yesmaximal, characteristic, complemented
9#31494C211yesmaximal, characteristic, complemented
10#31136C211yesmaximal, characteristic, complemented
11#31118C211yesmaximal, characteristic, complemented
12#30188C211yesmaximal, characteristic, complemented
13#29760C211yesmaximal, characteristic, complemented
14#27539C211yesmaximal, characteristic, complemented
15#27531C211yesmaximal, characteristic, complemented
16#27318C211yesmaximal, characteristic, complemented
17#27307C211yesmaximal, characteristic, complemented
18#26130C211yesmaximal, characteristic, complemented
19#26128C211yesmaximal, characteristic, complemented
20#25978C211yesmaximal, characteristic, complemented
21#25958C211yesmaximal, characteristic, complemented
22#25250C211yesmaximal, characteristic, complemented
23#25236C211yesmaximal, characteristic, complemented
24#24048C211yesmaximal, characteristic, complemented
25#24038C211yesmaximal, characteristic, complemented
26#24038C211yesmaximal, characteristic, complemented
27#24032C211yesmaximal, characteristic, complemented
28#22419C211yesmaximal, characteristic, complemented
29D4×#102C211yesmaximal, characteristic, complemented
30#22172C211yesmaximal, characteristic, complemented
31C2×#1864C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#539—21no—
36C22×C4×D4C2211yescharacteristic
37C2×#481C2211yescharacteristic, complemented
38C2×#483C2211yescharacteristic, complemented
39C2×#483C2211yescharacteristic, complemented
40C2×#480C2211yescharacteristic
41C2×#476C2211yescharacteristic
42C2×#476C2211yescharacteristic, complemented
43C2×#435C2211yescharacteristic, complemented
44C2×C8×D4C2211yescharacteristic
45C22×#106C2211yescharacteristic, complemented
46C2×#417C2211yescharacteristic
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C22×#102C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2850C2211yescharacteristic
52#2847—21no—
53#2726—21no—
54#2724—21no—
55#2689—21no—
56#2689—21no—
57#2627—21no—
58#2544C2211yescharacteristic
59#2543—21no—
60#2535C2211yescharacteristic
61#2534—21no—
62#2506C2211yescharacteristic, complemented
63#2506C2211yescharacteristic, complemented
64#2496C2211yescharacteristic, complemented
65#2496C2211yescharacteristic, complemented
66#2486C2211yescharacteristic
67#2486C2211yescharacteristic, complemented
68#2486C2211yescharacteristic, complemented
69#2486C2211yescharacteristic, complemented
70#2440C2211yescharacteristic, complemented
71#2440C2211yescharacteristic, complemented
72#2428C2211yescharacteristic
73#2427C2211yescharacteristic
74#2425—21no—
75#2424—21no—
76#2419—21no—
77#2419—21no—
78#2417C2211yescharacteristic
79#2416C2211yescharacteristic
80#2412—21no—
81#2410—21no—
82#2349C2211yescharacteristic
83D4×C4⋊C4C2211yescharacteristic
84D4×C4⋊C4C2211yescharacteristic, complemented
85#2339C2211yescharacteristic
86D4×C22⋊C4C2211yescharacteristic
87C4×#121C2211yescharacteristic
88C2×#389C2211yescharacteristic, complemented
89C2×#386—21no—
90#2101C2211yescharacteristic, complemented
91#2101C2211yescharacteristic, complemented
92#2096C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2088C2211yescharacteristic, complemented
95#2087C2211yescharacteristic, complemented
96#2085C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2084C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2076C2211yescharacteristic, complemented
104#2072C2211yescharacteristic, complemented
105#2071C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2066C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2065C2211yescharacteristic, complemented
112#2042C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2041C2211yescharacteristic
119#2041C2211yescharacteristic
120#2035C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2024C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#1983C2211yescharacteristic, complemented
131#1982C2211yescharacteristic
132#1959C2211yescharacteristic, complemented
133#1957C2211yescharacteristic
134#1944C2211yescharacteristic, complemented
135#1941C2211yescharacteristic, complemented
136#1936C2211yescharacteristic, complemented
137#1933C2211yescharacteristic, complemented
138#1927C2211yescharacteristic, complemented
139#1926C2211yescharacteristic, complemented
140#1924C2211yescharacteristic, complemented
141#1923C2211yescharacteristic, complemented
142#1920C2211yescharacteristic, complemented
143#1919C2211yescharacteristic, complemented
144#1917C2211yescharacteristic, complemented
145#1916C2211yescharacteristic, complemented
146#1895C2211yescharacteristic, complemented
147#1895C2211yescharacteristic, complemented
148#1893C2211yescharacteristic
149#1893C2211yescharacteristic
150#1893C2211yescharacteristic
151#1892C2211yescharacteristic, complemented
152#1892C2211yescharacteristic, complemented
153#1892C2211yescharacteristic, complemented
154#1874C2211yescharacteristic
155#1874C2211yescharacteristic
156#1874C2211yescharacteristic, complemented
157#1872C2211yescharacteristic, complemented
158#1870C2211yescharacteristic, complemented
159#1869C2211yescharacteristic
160#1869C2211yescharacteristic, complemented
161#1869C2211yescharacteristic, complemented
162#1864C2211yescharacteristic
163#1864C2211yescharacteristic
164#1864C2211yescharacteristic
165#1864C2211yescharacteristic
166#1864C2211yescharacteristic
167#1864C2211yescharacteristic
168#1864C2211yescharacteristic
169#1864C2211yescharacteristic
170#1864C2211yescharacteristic, complemented
171#1864C2211yescharacteristic, complemented
172#1864C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1864C2211yescharacteristic, complemented
176#1862C2211yescharacteristic
177#1862C2211yescharacteristic
178#1853C2211yescharacteristic, complemented
179#1853C2211yescharacteristic, complemented
180#1853C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1851C2211yescharacteristic, complemented
183#1850C2211yescharacteristic, complemented
184#1809C2211yescharacteristic, complemented
185#1807C2211yescharacteristic, complemented
186#1802C2211yescharacteristic
187#1802C2211yescharacteristic
188#1802C2211yescharacteristic
189#1802C2211yescharacteristic, complemented
190#1797C2211yescharacteristic, complemented
191#1788C2211yescharacteristic
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1762C2211yescharacteristic
200C4×#102C2211yescharacteristic
201C2×#340C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4—21no—
208C22×M16C2311yescharacteristic
209C23×C8C2311yescharacteristic
210C23×C8C2311yescharacteristic
211C23×C8C2311yescharacteristic
212#546—24no—
213#546—42no—
214#546—42no—
215#546—42no—
216D42—24no—
217D42—42no—
218#539—48no—
219C2×C4⋊Q8C2311yescharacteristic
220C2×#127C2311yescharacteristic
221C2×#126—21no—
222C2×#126—21no—
223C2×#125—21no—
224C2×#125—21no—
225C2×#124C2311yescharacteristic
226C2×#124C2311yescharacteristic
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121D411yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#120—21no—
249C2×#120—21no—
250C2×#120—21no—
251C2×#120—21no—
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4—21no—
255C2×C4×D4—21no—
256C2×C4×D4—42no—
257C2×C4×D4—42no—
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C22×C4⋊C4—21no—
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276C22×C22⋊C4—21no—
277C22×C42C2311yescharacteristic
278#483—42no—
279#483—42no—
280#481—42no—
281#480—42no—
282#476—42no—
283#476—42no—
284#435—42no—
285C8×D4—42no—
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#106—42no—
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#417—42no—
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#102—24no—
313C2×#102—42no—
314C2×#102—42no—
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#400—21no—
350#400—21no—
351#400—21no—
352#400—21no—
353#398—21no—
354#398—21no—
355#398—21no—
356#398—21no—
357#398—21no—
358#398—21no—
359#398—21no—
360#398—21no—
361#398—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#396—21no—
371#396—21no—
372#395—21no—
373#395—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#392—21no—
380#392—21no—
381#391—21no—
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#390D411yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#389—21no—
388#389—21no—
389#389—21no—
390#389—21no—
391#389—21no—
392#389D411yescharacteristic
393#389C2311yescharacteristic
394#389C2311yescharacteristic
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#388—21no—
406#388—21no—
407#388D411yescharacteristic
408#388D411yescharacteristic
409#387—21no—
410#387—21no—
411#387—21no—
412#387—21no—
413#386—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#386—21no—
427#386D411yescharacteristic
428#386D411yescharacteristic
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#384C2311yescharacteristic
438#384C2311yescharacteristic
439#384C2311yescharacteristic
440#382C2311yescharacteristic
441#381—21no—
442#381—21no—
443#381—21no—
444#381—21no—
445#381—21no—
446#380—21no—
447#380—21no—
448#380—21no—
449#380—21no—
450#380D411yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#379—21no—
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C2×#95—21no—
468C2×#95—21no—
469C2×#95—21no—
470#340C2311yescharacteristic
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#340C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C25—21no—
502C2×#41—22no—
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C22×Q8—21no—
509C22×Q8C2411yescharacteristic
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—22no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—44no—
531C22×D4—44no—
532C22×D4—82no—
533C22×D4C2×D411yescharacteristic
534C22×D4C2×D411yescharacteristic
535C22×D4C2×D411yescharacteristic
536C22×D4#4114yes—
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
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—21no—
551C23×C4—21no—
552C23×C4—44no—
553C23×C4—82no—
554C23×C4—82no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C2×M16—41no—
561C2×M16—41no—
562C2×M16—41no—
563C22×C8—22no—
564C22×C8—22no—
565C22×C8—41no—
566C22×C8—41no—
567C22×C8—41no—
568C22×C8—41no—
569C22×C8—41no—
570C22×C8—41no—
571C22×C8—41no—
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C4⋊Q8—41no—
581C4⋊Q8—41no—
582#127—22no—
583#127—41no—
584#126—44no—
585#126—44no—
586#125—44no—
587#125—44no—
588#124—22no—
589#124—41no—
590#124—41no—
591#124—41no—
592#123—44no—
593#123—44no—
594#123—44no—
595#123—44no—
596#123—44no—
597#123—44no—
598C22⋊Q8—22no—
599C22⋊Q8—22no—
600C22⋊Q8—22no—
601C22⋊Q8—44no—
602C22⋊Q8—44no—
603C22⋊Q8—41no—
604C22⋊Q8—44no—
605#121—24no—
606#121—22no—
607#121—22no—
608#121—22no—
609#121—22no—
610#121—22no—
611#121—44no—
612#121—41no—
613#121—41no—
614#121—41no—
615#121—44no—
616#121—44no—
617#121—82no—
618#121—82no—
619#120—44no—
620#120—44no—
621#120—44no—
622#120—44no—
623C4×D4—22no—
624C4×D4—22no—
625C4×D4—22no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—22no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—22no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—44no—
642C4×D4—44no—
643C4×D4—44no—
644C4×D4—44no—
645C2×C4⋊C4—22no—
646C2×C4⋊C4—22no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—21no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—44no—
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
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—44no—
730C2×C22⋊C4—44no—
731C2×C22⋊C4—44no—
732C2×C22⋊C4—82no—
733C2×C22⋊C4C2×D411yescharacteristic
734C2×C22⋊C4C2×D411yescharacteristic
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C42—21no—
744C2×C42—21no—
745C2×C42—41no—
746C2×C42—41no—
747C2×C42C2×D411yescharacteristic
748C2×C42C2×D411yescharacteristic
749C2×C42C2411yescharacteristic
750C2×C42C2411yescharacteristic
751C2×C42C2411yescharacteristic
752C2×C42C2411yescharacteristic
753#107—41no—
754#107—41no—
755#106—22no—
756#106—22no—
757#106—22no—
758#106—22no—
759#106—41no—
760#106—41no—
761#106—41no—
762#106—41no—
763#106—41no—
764#106—41no—
765C4⋊C8—41no—
766C4⋊C8—41no—
767C4⋊C8—41no—
768C4⋊C8—41no—
769#103—41no—
770#103—41no—
771#103—41no—
772#103—41no—
773#103—41no—
774#103—41no—
775#103—41no—
776#103—41no—
777#102—22no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801C22⋊C8—22no—
802C22⋊C8—22no—
803C22⋊C8—41no—
804C22⋊C8—41no—
805C22⋊C8—41no—
806C22⋊C8—41no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809#97—41no—
810C4×C8—41no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95—21no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847C24—21no—
848C24—21no—
849C24—24no—
850C24—21no—
851C24—42no—
852C24—42no—
853C24—42no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—81no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24C22×D411yescharacteristic
865C24C22×D411yescharacteristic
866C24C22×D411yescharacteristic
867#41—44no—
868#41—82no—
869#41—82no—
870#41—82no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—42no—
878C2×Q8—81no—
879C2×Q8—81no—
880C2×D4—22no—
881C2×D4—22no—
882C2×D4—28no—
883C2×D4—22no—
884C2×D4—22no—
885C2×D4—22no—
886C2×D4—22no—
887C2×D4—24no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
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—44no—
903C2×D4—44no—
904C2×D4—44no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—41no—
908C2×D4—41no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—44no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—81no—
927C2×D4—81no—
928C2×D4—81no—
929C2×D4—82no—
930C2×D4—82no—
931C2×D4—82no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—816no—
938C2×D4AGL(1,ℤ/8)14yes—
939C2×D4C2×#4112yes—
940C2×D4C2×#4112yes—
941C2×D4H(5,𝔽2)12yes—
942C2×D42−1+412yes—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—22no—
948C22×C4—21no—
949C22×C4—24no—
950C22×C4—22no—
951C22×C4—22no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—42no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—816no—
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C2×#4112yes—
1027C22×C4H(5,𝔽2)12yes—
1028C22×C4C2511yescharacteristic
1029M16—82no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—44no—
1055C2×C8—82no—
1056C2×C8—82no—
1057C4⋊C4—22no—
1058C4⋊C4—22no—
1059C4⋊C4—22no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
1085C4⋊C4—42no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4H(5,𝔽2)12yes—
1112C22⋊C4—24no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—22no—
1116C22⋊C4—22no—
1117C22⋊C4—22no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
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—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—21no—
1156C42—21no—
1157C42—21no—
1158C42—21no—
1159C42—21no—
1160C42—41no—
1161C42—41no—
1162C42—42no—
1163C42—42no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—22no—
1171C23—22no—
1172C23—21no—
1173C23—21no—
1174C23—22no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—22no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—48no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—48no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—84no—
1205C23—84no—
1206C23—84no—
1207C23—84no—
1208C23—84no—
1209C23—84no—
1210C23—84no—
1211C23—84no—
1212C23—84no—
1213C23—162no—
1214C23—162no—
1215C23—162no—
1216C23#54612yes—
1217C23C2×AGL(1,ℤ/8)12yes—
1218C23C2×AGL(1,ℤ/8)12yes—
1219C23#57712yes—
1220C23C23×D411yescharacteristic
1221Q8—41no—
1222Q8—41no—
1223Q8—41no—
1224Q8—41no—
1225Q8—162no—
1226D4—28no—
1227D4—22no—
1228D4—22no—
1229D4—22no—
1230D4—22no—
1231D4—22no—
1232D4—48no—
1233D4—44no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—41no—
1239D4—41no—
1240D4—84no—
1241D4—82no—
1242D4—84no—
1243D4—84no—
1244D4—84no—
1245D4—84no—
1246D4—162no—
1247D4—162no—
1248D4—162no—
1249D4#53914yescomplemented
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—22no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—44no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—84no—
1333C2×C4—84no—
1334C2×C4—84no—
1335C2×C4—82no—
1336C2×C4—84no—
1337C2×C4—84no—
1338C2×C4—84no—
1339C2×C4—84no—
1340C2×C4—84no—
1341C2×C4—162no—
1342C2×C4—162no—
1343C2×C4—162no—
1344C2×C4—162no—
1345C2×C4#54612yes—
1346C2×C4C2×AGL(1,ℤ/8)12yes—
1347C2×C4#57712yes—
1348C2×C4C22×#4111yescharacteristic
1349C2×C4C2×H(5,𝔽2)11yescharacteristic
1350C2×C4C2×H(5,𝔽2)11yescharacteristic
1351C2×C4C2×H(5,𝔽2)11yescharacteristic
1352C2×C4C2×2−1+411yescharacteristic
1353C2×C4#58511yescharacteristic
1354C8—41no—
1355C8—41no—
1356C8—41no—
1357C8—41no—
1358C8—41no—
1359C8—41no—
1360C8—41no—
1361C8—41no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—24no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—41no—
1373C22—42no—
1374C22—42no—
1375C22—41no—
1376C22—41no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—41no—
1381C22—42no—
1382C22—41no—
1383C22—41no—
1384C22—42no—
1385C22—41no—
1386C22—42no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—42no—
1392C22—816no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—168no—
1405C22#330614yes—
1406C22C2×#54611yescharacteristic
1407C22#348411yescharacteristic
1408C22#348911yescharacteristic
1409C22C22×AGL(1,ℤ/8)11yescharacteristic
1410C22C2×#57711yescharacteristic
1411C22C2×#57711yescharacteristic
1412C22#358411yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—42no—
1424C4—41no—
1425C4—81no—
1426C4—81no—
1427C4—81no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4—81no—
1432C4—81no—
1433C4—81no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4C2×#53911yescharacteristic
1438C4#350511yescharacteristic
1439C4#353411yescharacteristic
1440C4#353611yescharacteristic
1441C2—24no—
1442C2—42no—
1443C2—44no—
1444C2—81no—
1445C2—82no—
1446C2—161no—
1447C2#3769211yescharacteristic
1448C2C2×#330611yescharacteristic
1449C2#6121211yescharacteristic
1450C2#6159811yescharacteristic
1451C2#6163111yescharacteristic
1452C2#6212811yescharacteristic
1453C2#6221211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36214C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39376C2semidirect
3. #32956C2semidirect
4. #32104C2semidirect
5. #32081C2semidirect
6. #32020C2semidirect
7. #32002C2semidirect
8. #31514C2semidirect
9. #31494C2semidirect
10. #31136C2semidirect
11. #31118C2semidirect
12. #30188C2semidirect
13. #29760C2semidirect
14. #27539C2semidirect
15. #27531C2semidirect
16. #27318C2semidirect
17. #27307C2semidirect
18. #26130C2semidirect
19. #26128C2semidirect
20. #25978C2semidirect
21. #25958C2semidirect
22. #25250C2semidirect
23. #25236C2semidirect
24. #24048C2semidirect
25. #24038C2semidirect
26. #24038C2semidirect
27. #24032C2semidirect
28. #22419C2semidirect
29. D4×#102C2semidirect
30. #22172C2semidirect
31. C2×#1864C2semidirect
37. C2×#481C22semidirect
38. C2×#483C22semidirect
39. C2×#483C22semidirect
42. C2×#476C22semidirect
43. C2×#435C22semidirect
45. C22×#106C22semidirect
50. #2857C22semidirect
62. #2506C22semidirect
63. #2506C22semidirect
64. #2496C22semidirect
65. #2496C22semidirect
67. #2486C22semidirect
68. #2486C22semidirect
69. #2486C22semidirect
70. #2440C22semidirect
71. #2440C22semidirect
84. D4×C4⋊C4C22semidirect
88. C2×#389C22semidirect
90. #2101C22semidirect
91. #2101C22semidirect
92. #2096C22semidirect
93. #2094C22semidirect
94. #2088C22semidirect
95. #2087C22semidirect
96. #2085C22semidirect
97. #2085C22semidirect
98. #2084C22semidirect
99. #2084C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
103. #2076C22semidirect
104. #2072C22semidirect
105. #2071C22semidirect
106. #2068C22semidirect
107. #2068C22semidirect
108. #2066C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2065C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
120. #2035C22semidirect
121. #2035C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
128. #2024C22semidirect
129. #2023C22semidirect
130. #1983C22semidirect
132. #1959C22semidirect
134. #1944C22semidirect
135. #1941C22semidirect
136. #1936C22semidirect
137. #1933C22semidirect
138. #1927C22semidirect
139. #1926C22semidirect
140. #1924C22semidirect
141. #1923C22semidirect
142. #1920C22semidirect
143. #1919C22semidirect
144. #1917C22semidirect
145. #1916C22semidirect
146. #1895C22semidirect
147. #1895C22semidirect
151. #1892C22semidirect
152. #1892C22semidirect
153. #1892C22semidirect
156. #1874C22semidirect
157. #1872C22semidirect
158. #1870C22semidirect
160. #1869C22semidirect
161. #1869C22semidirect
170. #1864C22semidirect
171. #1864C22semidirect
172. #1864C22semidirect
173. #1864C22semidirect
174. #1864C22semidirect
175. #1864C22semidirect
178. #1853C22semidirect
179. #1853C22semidirect
180. #1853C22semidirect
181. #1853C22semidirect
182. #1851C22semidirect
183. #1850C22semidirect
184. #1809C22semidirect
185. #1807C22semidirect
189. #1802C22semidirect
190. #1797C22semidirect
201. C2×#340C22semidirect
202. C2×#336C22semidirect
1249. D4#539semidirect

Maximal subgroups

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

subgroupindex
#393762
#362142
#329562
#321042
#320812
#320202
#320022
#315142
#314942
#311362
#311182
#301882
#297602
#275392
#275312
#273182
#273072
#261302
#261282
#259782
#259582
#252502
#252362
#240482
#240382
#240322
#224192
D4×#1022
#221722
C2×#18642