Finite Group Databasebeta

← #6997729

Subgroups — #6997729

Order 512.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1467 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59131C211yesmaximal, characteristic
2#39376C211yesmaximal, characteristic, complemented
3#32104C211yesmaximal, characteristic, complemented
4#32081C211yesmaximal, characteristic, complemented
5#32043C211yesmaximal, characteristic, complemented
6#32032C211yesmaximal, characteristic, complemented
7#31307C211yesmaximal, characteristic, complemented
8#31306C211yesmaximal, characteristic, complemented
9#30657C211yesmaximal, characteristic, complemented
10#30655C211yesmaximal, characteristic, complemented
11#29156C211yesmaximal, characteristic, complemented
12#29059C211yesmaximal, characteristic, complemented
13#29054C211yesmaximal, characteristic, complemented
14#28107C211yesmaximal, characteristic, complemented
15#28098C211yesmaximal, characteristic, complemented
16#27282C211yesmaximal, characteristic, complemented
17#27262C211yesmaximal, characteristic, complemented
18#26780C211yesmaximal, characteristic, complemented
19#26761C211yesmaximal, characteristic, complemented
20#25864C211yesmaximal, characteristic, complemented
21#24865C211yesmaximal, characteristic, complemented
22#24863C211yesmaximal, characteristic, complemented
23#24048C211yesmaximal, characteristic, complemented
24#24038C211yesmaximal, characteristic, complemented
25#24035C211yesmaximal, characteristic, complemented
26#24032C211yesmaximal, characteristic, complemented
27C2×#2042C211yesmaximal, characteristic, complemented
28#23117C211yesmaximal, characteristic, complemented
29#22421C211yesmaximal, characteristic, complemented
30D4×#102C211yesmaximal, characteristic, complemented
31#22081C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#539—21no—
36C22×#124C2211yescharacteristic
37C2×#489C2211yescharacteristic
38C2×#489C2211yescharacteristic, complemented
39C2×#481C2211yescharacteristic
40C2×#483C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic
42C2×#435C2211yescharacteristic, complemented
43C2×C8×D4C2211yescharacteristic
44C2×#417C2211yescharacteristic, complemented
45C22×#103C2211yescharacteristic, complemented
46C22×#103C2211yescharacteristic, complemented
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C22×#102C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2726—21no—
52#2724—21no—
53#2689—21no—
54#2689—21no—
55#2672—21no—
56#2670—21no—
57#2627—21no—
58#2555—21no—
59#2544C2211yescharacteristic
60#2540C2211yescharacteristic
61#2506C2211yescharacteristic, complemented
62#2506C2211yescharacteristic, complemented
63#2496C2211yescharacteristic, complemented
64#2496C2211yescharacteristic, complemented
65#2486C2211yescharacteristic
66#2486C2211yescharacteristic, complemented
67#2486C2211yescharacteristic, complemented
68#2486C2211yescharacteristic, complemented
69#2472—21no—
70#2440C2211yescharacteristic, complemented
71#2440C2211yescharacteristic, complemented
72#2435C2211yescharacteristic
73#2431C2211yescharacteristic
74#2427C2211yescharacteristic
75#2426C2211yescharacteristic
76#2424—21no—
77#2419—21no—
78#2419—21no—
79#2418—21no—
80#2410—21no—
81#2409C2211yescharacteristic
82#2408C2211yescharacteristic
83#2367C2211yescharacteristic
84D4×C4⋊C4C2211yescharacteristic
85D4×C4⋊C4C2211yescharacteristic, complemented
86D4×C22⋊C4—21no—
87C4×#121C2211yescharacteristic
88C4×#121C2211yescharacteristic
89C2×#389C2211yescharacteristic, complemented
90#2100C2211yescharacteristic, complemented
91#2096C2211yescharacteristic, complemented
92#2094C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2072C2211yescharacteristic, complemented
95#2071C2211yescharacteristic
96#2066C2211yescharacteristic, complemented
97#2066C2211yescharacteristic, complemented
98#2065C2211yescharacteristic
99#2065C2211yescharacteristic, complemented
100#2058C2211yescharacteristic, complemented
101#2042C2211yescharacteristic
102#2042C2211yescharacteristic
103#2042C2211yescharacteristic
104#2042C2211yescharacteristic
105#2042C2211yescharacteristic
106#2042C2211yescharacteristic
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2042C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2041C2211yescharacteristic
116#2041C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic
129#2023C2211yescharacteristic, complemented
130#1983C2211yescharacteristic, complemented
131#1982C2211yescharacteristic
132#1959C2211yescharacteristic
133#1959C2211yescharacteristic, complemented
134#1959C2211yescharacteristic, complemented
135#1957C2211yescharacteristic
136#1943C2211yescharacteristic, complemented
137#1943C2211yescharacteristic, complemented
138#1936C2211yescharacteristic
139#1936C2211yescharacteristic, complemented
140#1936C2211yescharacteristic, complemented
141#1936C2211yescharacteristic, complemented
142#1933C2211yescharacteristic, complemented
143#1933C2211yescharacteristic, complemented
144#1927C2211yescharacteristic, complemented
145#1927C2211yescharacteristic, complemented
146#1926C2211yescharacteristic
147#1926C2211yescharacteristic, complemented
148#1924C2211yescharacteristic, complemented
149#1924C2211yescharacteristic, complemented
150#1921C2211yescharacteristic, complemented
151#1921C2211yescharacteristic, complemented
152#1920C2211yescharacteristic, complemented
153#1920C2211yescharacteristic, complemented
154#1917C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic, complemented
158#1894C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic
162#1892C2211yescharacteristic, complemented
163#1892C2211yescharacteristic, complemented
164#1874C2211yescharacteristic
165#1874C2211yescharacteristic
166#1874C2211yescharacteristic, complemented
167#1872C2211yescharacteristic, complemented
168#1872C2211yescharacteristic, complemented
169#1870C2211yescharacteristic, complemented
170#1869C2211yescharacteristic
171#1869C2211yescharacteristic, complemented
172#1869C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1864C2211yescharacteristic, complemented
176#1864C2211yescharacteristic, complemented
177#1863C2211yescharacteristic, complemented
178#1863C2211yescharacteristic, complemented
179#1862C2211yescharacteristic
180#1862C2211yescharacteristic
181#1853C2211yescharacteristic, complemented
182#1823C2211yescharacteristic, complemented
183#1807C2211yescharacteristic, complemented
184#1807C2211yescharacteristic, complemented
185#1803C2211yescharacteristic, complemented
186#1802C2211yescharacteristic
187#1788C2211yescharacteristic, complemented
188#1788C2211yescharacteristic, complemented
189#1788C2211yescharacteristic, complemented
190#1787C2211yescharacteristic, complemented
191#1787C2211yescharacteristic, complemented
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1763C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic
199#1753C2211yescharacteristic, complemented
200#1752C2211yescharacteristic, complemented
201#1749C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×M16C2311yescharacteristic
209C23×C8C2311yescharacteristic
210C23×C8C2311yescharacteristic
211C23×C8C2311yescharacteristic
212#548—24no—
213#548—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×#124—21no—
226C2×#124—21no—
227C2×#124—21no—
228C2×#124—42no—
229C2×#124—42no—
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121D411yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×C4×Q8C2311yescharacteristic
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C22×C4⋊C4—21no—
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276C22×C22⋊C4—21no—
277C22×C42C2311yescharacteristic
278#489—42no—
279#489—42no—
280#483—42no—
281#481—42no—
282#480—24no—
283#435—42no—
284C8×D4—42no—
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295#417—42no—
296C2×#103—42no—
297C2×#103—42no—
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#102—42no—
315C2×#102—42no—
316C2×#102—42no—
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×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353#400—21no—
354#400—21no—
355#400—21no—
356#400—21no—
357#399—21no—
358#398—21no—
359#398—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#398—21no—
364#398—21no—
365#398—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#396—21no—
374#395—21no—
375#395—21no—
376#395—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#393—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#390—21no—
393#390—21no—
394#390—21no—
395#390D411yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#389—21no—
400#389—21no—
401#389—21no—
402#389—21no—
403#389—21no—
404#389D411yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388D411yescharacteristic
421#388D411yescharacteristic
422#387—21no—
423#387—21no—
424#387—21no—
425#387—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386D411yescharacteristic
434#386D411yescharacteristic
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#384C2311yescharacteristic
444#384C2311yescharacteristic
445#384C2311yescharacteristic
446#381—21no—
447#381—21no—
448#381—21no—
449#381—21no—
450#380—21no—
451#380—21no—
452#380D411yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#379—21no—
463#379—21no—
464#379—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C2×#95—21no—
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—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C22×Q8—21no—
509C22×Q8—21no—
510C22×Q8—22no—
511C22×Q8—22no—
512C22×Q8—22no—
513C22×Q8—41no—
514C22×Q8—41no—
515C22×Q8—41no—
516C22×Q8C2411yescharacteristic
517C22×Q8C2411yescharacteristic
518C22×D4—21no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
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—22no—
531C22×D4—22no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—44no—
540C22×D4—44no—
541C22×D4—82no—
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
544C22×D4C2×D411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C2×M16—41no—
562C2×M16—41no—
563C2×M16—41no—
564C22×C8—22no—
565C22×C8—22no—
566C22×C8—41no—
567C22×C8—41no—
568C22×C8—41no—
569C22×C8—41no—
570C22×C8—41no—
571C22×C8—41no—
572C22×C8—41no—
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C4⋊Q8—41no—
582C4⋊Q8—41no—
583#127—22no—
584#127—41no—
585#126—44no—
586#126—44no—
587#125—44no—
588#125—44no—
589#124—22no—
590#124—22no—
591#124—22no—
592#124—22no—
593#124—22no—
594#124—41no—
595#124—41no—
596#124—41no—
597#124—41no—
598#124—41no—
599#124—44no—
600#124—44no—
601#124—44no—
602#123—44no—
603#123—44no—
604#123—44no—
605#123—44no—
606#123—44no—
607C22⋊Q8—22no—
608C22⋊Q8—22no—
609C22⋊Q8—44no—
610C22⋊Q8—44no—
611C22⋊Q8—44no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—44no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617#121—24no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—44no—
622#121—44no—
623#121—41no—
624#121—41no—
625#121—44no—
626#121—41no—
627#121—41no—
628#121#4114yes—
629#120—44no—
630#120—44no—
631#120—44no—
632#120—82no—
633C4×Q8—22no—
634C4×Q8—41no—
635C4×D4—22no—
636C4×D4—22no—
637C4×D4—22no—
638C4×D4—22no—
639C4×D4—22no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—44no—
646C4×D4—44no—
647C4×D4—44no—
648C4×D4—82no—
649C2×C4⋊C4—22no—
650C2×C4⋊C4—22no—
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—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—44no—
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—44no—
735C2×C22⋊C4—44no—
736C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—41no—
752C2×C42—41no—
753C2×C42C2×D411yescharacteristic
754C2×C42C2×D411yescharacteristic
755C2×C42C2411yescharacteristic
756C2×C42C2411yescharacteristic
757C2×C42C2411yescharacteristic
758C2×C42C2411yescharacteristic
759#107—22no—
760#107—22no—
761#106—41no—
762#106—41no—
763#106—41no—
764#106—41no—
765#106—41no—
766#106—41no—
767C4⋊C8—41no—
768C4⋊C8—41no—
769#103—22no—
770#103—22no—
771#103—22no—
772#103—22no—
773#103—41no—
774#103—41no—
775#103—41no—
776#103—41no—
777#103—41no—
778#103—41no—
779#103—41no—
780#103—41no—
781#103—41no—
782#103—41no—
783#103—41no—
784#103—41no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
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—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809C22⋊C8—22no—
810C22⋊C8—22no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817#97—41no—
818#97—41no—
819#97—41no—
820C4×C8—41no—
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#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854C24—21no—
855C24—21no—
856C24—21no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874#41—44no—
875#41—82no—
876#41—82no—
877#41—82no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—42no—
890C2×Q8—42no—
891C2×Q8—44no—
892C2×Q8—44no—
893C2×Q8—42no—
894C2×Q8—81no—
895C2×Q8—81no—
896C2×Q8—81no—
897C2×Q8—82no—
898C2×Q8—82no—
899C2×Q8H(5,𝔽2)12yes—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—22no—
903C2×D4—24no—
904C2×D4—22no—
905C2×D4—22no—
906C2×D4—22no—
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—44no—
924C2×D4—44no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—44no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—82no—
950C2×D4—82no—
951C2×D4—82no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—816no—
960C2×D4AGL(1,ℤ/8)14yes—
961C2×D4C2×#4112yes—
962C2×D4H(5,𝔽2)12yes—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—22no—
970C22×C4—22no—
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—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C2×#4112yes—
1034C22×C4H(5,𝔽2)12yes—
1035C22×C4C2511yescharacteristic
1036M16—82no—
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—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—82no—
1062C2×C8—82no—
1063C2×C8—82no—
1064C4⋊C4—22no—
1065C4⋊C4—22no—
1066C4⋊C4—22no—
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—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
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—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4C2×#4112yes—
1117C22⋊C4—24no—
1118C22⋊C4—24no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—24no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
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—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—41no—
1170C42—41no—
1171C42—42no—
1172C42—42no—
1173C42—42no—
1174C42—81no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—22no—
1189C23—22no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—84no—
1214C23—84no—
1215C23—84no—
1216C23—84no—
1217C23—84no—
1218C23—84no—
1219C23—84no—
1220C23—162no—
1221C23—162no—
1222C23—162no—
1223C23—162no—
1224C23—162no—
1225C23—162no—
1226C23—162no—
1227C23#54612yes—
1228C23C2×AGL(1,ℤ/8)12yes—
1229C23C2×AGL(1,ℤ/8)12yes—
1230C23#57712yes—
1231C23C23×D411yescharacteristic
1232Q8—22no—
1233Q8—22no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—84no—
1241Q8—162no—
1242D4—28no—
1243D4—22no—
1244D4—22no—
1245D4—22no—
1246D4—22no—
1247D4—44no—
1248D4—48no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—84no—
1258D4—84no—
1259D4—82no—
1260D4—84no—
1261D4—84no—
1262D4—84no—
1263D4—162no—
1264D4—162no—
1265D4—162no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
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—22no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—22no—
1293C2×C4—21no—
1294C2×C4—21no—
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—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—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—84no—
1349C2×C4—82no—
1350C2×C4—82no—
1351C2×C4—84no—
1352C2×C4—84no—
1353C2×C4—84no—
1354C2×C4—162no—
1355C2×C4—162no—
1356C2×C4—162no—
1357C2×C4—162no—
1358C2×C4#54612yes—
1359C2×C4C2×AGL(1,ℤ/8)12yes—
1360C2×C4C22×#4111yescharacteristic
1361C2×C4C2×H(5,𝔽2)11yescharacteristic
1362C2×C4C2×H(5,𝔽2)11yescharacteristic
1363C2×C4C2×H(5,𝔽2)11yescharacteristic
1364C2×C4#58511yescharacteristic
1365C2×C4#58511yescharacteristic
1366C8—41no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—42no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—42no—
1393C22—41no—
1394C22—42no—
1395C22—42no—
1396C22—41no—
1397C22—41no—
1398C22—42no—
1399C22—42no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—168no—
1416C22—168no—
1417C22#330614yes—
1418C22C2×#54611yescharacteristic
1419C22#348411yescharacteristic
1420C22#350011yescharacteristic
1421C22C22×AGL(1,ℤ/8)11yescharacteristic
1422C22C2×#57711yescharacteristic
1423C22#358411yescharacteristic
1424C22#358611yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—42no—
1435C4—41no—
1436C4—41no—
1437C4—42no—
1438C4—81no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4#351311yescharacteristic
1450C4#351311yescharacteristic
1451C4#353411yescharacteristic
1452C4#353411yescharacteristic
1453C2—24no—
1454C2—42no—
1455C2—81no—
1456C2—82no—
1457C2—82no—
1458C2—161no—
1459C2#4300511yescharacteristic
1460C2C2×#330611yescharacteristic
1461C2#6120711yescharacteristic
1462C2#6159811yescharacteristic
1463C2#6161811yescharacteristic
1464C2#6255611yescharacteristic
1465C2#6258311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#59131C2
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
2. #39376C2semidirect
3. #32104C2semidirect
4. #32081C2semidirect
5. #32043C2semidirect
6. #32032C2semidirect
7. #31307C2semidirect
8. #31306C2semidirect
9. #30657C2semidirect
10. #30655C2semidirect
11. #29156C2semidirect
12. #29059C2semidirect
13. #29054C2semidirect
14. #28107C2semidirect
15. #28098C2semidirect
16. #27282C2semidirect
17. #27262C2semidirect
18. #26780C2semidirect
19. #26761C2semidirect
20. #25864C2semidirect
21. #24865C2semidirect
22. #24863C2semidirect
23. #24048C2semidirect
24. #24038C2semidirect
25. #24035C2semidirect
26. #24032C2semidirect
27. C2×#2042C2semidirect
28. #23117C2semidirect
29. #22421C2semidirect
30. D4×#102C2semidirect
31. #22081C2semidirect
38. C2×#489C22semidirect
40. C2×#483C22semidirect
42. C2×#435C22semidirect
44. C2×#417C22semidirect
45. C22×#103C22semidirect
46. C22×#103C22semidirect
50. #2857C22semidirect
61. #2506C22semidirect
62. #2506C22semidirect
63. #2496C22semidirect
64. #2496C22semidirect
66. #2486C22semidirect
67. #2486C22semidirect
68. #2486C22semidirect
70. #2440C22semidirect
71. #2440C22semidirect
85. D4×C4⋊C4C22semidirect
89. C2×#389C22semidirect
90. #2100C22semidirect
91. #2096C22semidirect
92. #2094C22semidirect
93. #2094C22semidirect
94. #2072C22semidirect
96. #2066C22semidirect
97. #2066C22semidirect
99. #2065C22semidirect
100. #2058C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
111. #2042C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2035C22semidirect
120. #2035C22semidirect
121. #2035C22semidirect
122. #2035C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
129. #2023C22semidirect
130. #1983C22semidirect
133. #1959C22semidirect
134. #1959C22semidirect
136. #1943C22semidirect
137. #1943C22semidirect
139. #1936C22semidirect
140. #1936C22semidirect
141. #1936C22semidirect
142. #1933C22semidirect
143. #1933C22semidirect
144. #1927C22semidirect
145. #1927C22semidirect
147. #1926C22semidirect
148. #1924C22semidirect
149. #1924C22semidirect
150. #1921C22semidirect
151. #1921C22semidirect
152. #1920C22semidirect
153. #1920C22semidirect
154. #1917C22semidirect
155. #1916C22semidirect
157. #1895C22semidirect
158. #1894C22semidirect
162. #1892C22semidirect
163. #1892C22semidirect
166. #1874C22semidirect
167. #1872C22semidirect
168. #1872C22semidirect
169. #1870C22semidirect
171. #1869C22semidirect
172. #1869C22semidirect
173. #1864C22semidirect
174. #1864C22semidirect
175. #1864C22semidirect
176. #1864C22semidirect
177. #1863C22semidirect
178. #1863C22semidirect
181. #1853C22semidirect
182. #1823C22semidirect
183. #1807C22semidirect
184. #1807C22semidirect
185. #1803C22semidirect
187. #1788C22semidirect
188. #1788C22semidirect
189. #1788C22semidirect
190. #1787C22semidirect
191. #1787C22semidirect
197. #1763C22semidirect
199. #1753C22semidirect
200. #1752C22semidirect
201. #1749C22semidirect
202. C2×#336C22semidirect

Maximal subgroups

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

subgroupindex
#591312
#393762
#321042
#320812
#320432
#320322
#313072
#313062
#306572
#306552
#291562
#290592
#290542
#281072
#280982
#272822
#272622
#267802
#267612
#258642
#248652
#248632
#240482
#240382
#240352
#240322
C2×#20422
#231172
#224212
D4×#1022
#220812