Finite Group Databasebeta

← #6997737

Subgroups — #6997737

Order 512.

1857 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59131C211yesmaximal, characteristic
2#39504C211yesmaximal, characteristic, complemented
3#32095C211yesmaximal, characteristic, complemented
4#32086C211yesmaximal, characteristic, complemented
5#32040C211yesmaximal, characteristic, complemented
6#32030C211yesmaximal, characteristic, complemented
7#31303C211yesmaximal, characteristic, complemented
8#31302C211yesmaximal, characteristic, complemented
9#30660C211yesmaximal, characteristic, complemented
10#30654C211yesmaximal, characteristic, complemented
11#29157C211yesmaximal, characteristic, complemented
12#29061C211yesmaximal, characteristic, complemented
13#29052C211yesmaximal, characteristic, complemented
14#28105C211yesmaximal, characteristic, complemented
15#28094C211yesmaximal, characteristic, complemented
16#27281C211yesmaximal, characteristic, complemented
17#27269C211yesmaximal, characteristic, complemented
18#26777C211yesmaximal, characteristic, complemented
19#26764C211yesmaximal, characteristic, complemented
20#25864C211yesmaximal, characteristic, complemented
21#24875C211yesmaximal, characteristic, complemented
22#24869C211yesmaximal, characteristic, complemented
23#24050C211yesmaximal, characteristic, complemented
24#24037C211yesmaximal, characteristic, complemented
25#24035C211yesmaximal, characteristic, complemented
26#24032C211yesmaximal, characteristic, complemented
27C2×#2042C211yesmaximal, characteristic, complemented
28#23117C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#22416C211yesmaximal, characteristic, complemented
31#22081C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C2×#489C2211yescharacteristic
37C2×#489C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#482C2211yescharacteristic
40C2×#480C2211yescharacteristic
41C2×#435C2211yescharacteristic
42C2×C8×D4C2211yescharacteristic, complemented
43C2×#418C2211yescharacteristic
44C2×#416C2211yescharacteristic, complemented
45C22×#103C2211yescharacteristic, complemented
46C22×#103C2211yescharacteristic, complemented
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2809—21no—
51#2808—21no—
52#2783—21no—
53#2783—21no—
54#2672—21no—
55#2670—21no—
56#2618—21no—
57#2555—21no—
58#2544C2211yescharacteristic
59#2540C2211yescharacteristic
60#2508C2211yescharacteristic, complemented
61#2508C2211yescharacteristic, complemented
62#2497C2211yescharacteristic, complemented
63#2497C2211yescharacteristic, complemented
64#2488—21no—
65#2488—21no—
66#2486C2211yescharacteristic
67#2486C2211yescharacteristic, complemented
68#2485C2211yescharacteristic, complemented
69#2485C2211yescharacteristic, complemented
70#2472—21no—
71#2439C2211yescharacteristic, complemented
72#2439C2211yescharacteristic, complemented
73#2435C2211yescharacteristic
74#2431C2211yescharacteristic
75#2427C2211yescharacteristic
76#2426C2211yescharacteristic
77#2424—21no—
78#2418—21no—
79#2410—21no—
80#2409C2211yescharacteristic
81#2408C2211yescharacteristic
82#2367C2211yescharacteristic
83#2352C2211yescharacteristic
84#2352C2211yescharacteristic, complemented
85D4×C22⋊C4—21no—
86#2313—21no—
87C4×#121C2211yescharacteristic
88C4×#121C2211yescharacteristic
89C2×#389C2211yescharacteristic, complemented
90#2099C2211yescharacteristic, complemented
91#2097C2211yescharacteristic, complemented
92#2093C2211yescharacteristic, complemented
93#2092C2211yescharacteristic, complemented
94#2074C2211yescharacteristic, complemented
95#2073C2211yescharacteristic
96#2068C2211yescharacteristic, complemented
97#2068C2211yescharacteristic, complemented
98#2067C2211yescharacteristic
99#2067C2211yescharacteristic, complemented
100#2057C2211yescharacteristic, 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#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2034C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#1983C2211yescharacteristic, complemented
131#1982C2211yescharacteristic
132#1961C2211yescharacteristic
133#1959C2211yescharacteristic
134#1959C2211yescharacteristic, complemented
135#1958C2211yescharacteristic, complemented
136#1943C2211yescharacteristic, complemented
137#1943C2211yescharacteristic, complemented
138#1936C2211yescharacteristic, complemented
139#1936C2211yescharacteristic, complemented
140#1935C2211yescharacteristic, complemented
141#1935C2211yescharacteristic, complemented
142#1934C2211yescharacteristic
143#1934C2211yescharacteristic, complemented
144#1928C2211yescharacteristic, complemented
145#1927C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1925C2211yescharacteristic
148#1924C2211yescharacteristic, complemented
149#1924C2211yescharacteristic, complemented
150#1921C2211yescharacteristic, complemented
151#1921C2211yescharacteristic, complemented
152#1918C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1917C2211yescharacteristic, complemented
155#1916C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1894C2211yescharacteristic, complemented
158#1894C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1892C2211yescharacteristic, complemented
164#1875C2211yescharacteristic
165#1875C2211yescharacteristic, complemented
166#1874C2211yescharacteristic
167#1873C2211yescharacteristic, complemented
168#1873C2211yescharacteristic, complemented
169#1870C2211yescharacteristic, complemented
170#1869C2211yescharacteristic
171#1869C2211yescharacteristic, complemented
172#1869C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1863C2211yescharacteristic, complemented
176#1863C2211yescharacteristic, complemented
177#1862C2211yescharacteristic
178#1862C2211yescharacteristic
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1823C2211yescharacteristic, complemented
183#1808C2211yescharacteristic, complemented
184#1808C2211yescharacteristic, complemented
185#1805C2211yescharacteristic, complemented
186#1804C2211yescharacteristic
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#1762C2211yescharacteristic
198C4×#103C2211yescharacteristic, complemented
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—
218C2×C4⋊Q8C2311yescharacteristic
219C2×#127C2311yescharacteristic
220C2×#124—21no—
221C2×#124—21no—
222C2×#124—21no—
223C2×#124—42no—
224C2×#124—42no—
225C2×#124C2311yescharacteristic
226C2×#124C2311yescharacteristic
227C2×#124C2311yescharacteristic
228C2×#124C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121D411yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#120—21no—
247C2×#120—21no—
248C2×#120—21no—
249C2×#120—21no—
250C2×C4×Q8C2311yescharacteristic
251C2×C4×D4—21no—
252C2×C4×D4—21no—
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×#117C2311yescharacteristic
259C2×#117C2311yescharacteristic
260C22×C4⋊C4—21no—
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265C22×C22⋊C4—21no—
266C22×C42C2311yescharacteristic
267#489—42no—
268#489—42no—
269#485—42no—
270#482—42no—
271#480—24no—
272#435—42no—
273C8×D4—42no—
274C2×#107C2311yescharacteristic
275C2×#107C2311yescharacteristic
276C2×#107C2311yescharacteristic
277C2×#107C2311yescharacteristic
278C2×#107C2311yescharacteristic
279C2×#107C2311yescharacteristic
280C2×#106C2311yescharacteristic
281C2×#106C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284#418—42no—
285#416—42no—
286C2×#103—42no—
287C2×#103—42no—
288C2×#103C2311yescharacteristic
289C2×#103C2311yescharacteristic
290C2×#103C2311yescharacteristic
291C2×#103C2311yescharacteristic
292C2×#103C2311yescharacteristic
293C2×#103C2311yescharacteristic
294C2×#103C2311yescharacteristic
295C2×#103C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#103C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#102—42no—
305C2×#102—42no—
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×#97C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×C4×C8C2311yescharacteristic
342#400—21no—
343#400—21no—
344#400—21no—
345#400—21no—
346#399—21no—
347#398—21no—
348#398—21no—
349#398—21no—
350#398—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#396—21no—
361#395—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#393—21no—
372#393—21no—
373#393—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#391—21no—
379#391—21no—
380#391—21no—
381#391C2311yescharacteristic
382#391C2311yescharacteristic
383#390—21no—
384#390—21no—
385#390—21no—
386#390D411yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#389—21no—
391#389—21no—
392#389—21no—
393#389D411yescharacteristic
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#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388D411yescharacteristic
416#388D411yescharacteristic
417#387—21no—
418#387—21no—
419#387—21no—
420#387—21no—
421#387—21no—
422#387—21no—
423#387—21no—
424#387—21no—
425#387—21no—
426#387—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386D411yescharacteristic
437#386D411yescharacteristic
438#385—21no—
439#385—21no—
440#384C2311yescharacteristic
441#382—21no—
442#382—21no—
443#382C2311yescharacteristic
444#382C2311yescharacteristic
445#381—21no—
446#381—21no—
447#380—21no—
448#380—21no—
449#380D411yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#379—21no—
460#379—21no—
461#379—21no—
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C22⋊C4—21no—
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C2×#95—21no—
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499C25—21no—
500C25—21no—
501C2×#41—22no—
502C2×#41—22no—
503C2×#41—41no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C22×Q8—21no—
508C22×Q8—21no—
509C22×Q8—22no—
510C22×Q8—22no—
511C22×Q8—22no—
512C22×Q8—41no—
513C22×Q8—41no—
514C22×Q8—41no—
515C22×Q8C2411yescharacteristic
516C22×Q8C2411yescharacteristic
517C22×D4—21no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—44no—
539C22×D4—44no—
540C22×D4—82no—
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4C2×D411yescharacteristic
554C23×C4C2×D411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C2×M16—41no—
559C2×M16—41no—
560C2×M16—41no—
561C22×C8—22no—
562C22×C8—22no—
563C22×C8—41no—
564C22×C8—41no—
565C22×C8—41no—
566C22×C8—41no—
567C22×C8—41no—
568C22×C8—41no—
569C22×C8—41no—
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C4⋊Q8—41no—
579C4⋊Q8—41no—
580#127—22no—
581#127—41no—
582#124—22no—
583#124—22no—
584#124—22no—
585#124—22no—
586#124—22no—
587#124—41no—
588#124—41no—
589#124—41no—
590#124—41no—
591#124—41no—
592#124—44no—
593#124—44no—
594#124—44no—
595#123—44no—
596#123—82no—
597#123—82no—
598C22⋊Q8—22no—
599C22⋊Q8—22no—
600C22⋊Q8—44no—
601C22⋊Q8—41no—
602C22⋊Q8—41no—
603C22⋊Q8—41no—
604C22⋊Q8—41no—
605C22⋊Q8—82no—
606#121—22no—
607#121—22no—
608#121—22no—
609#121—44no—
610#121—44no—
611#121—41no—
612#121—41no—
613#121—42no—
614#121—44no—
615#121—41no—
616#121—41no—
617#121#4114yes—
618#120—44no—
619#120—44no—
620#120—44no—
621#120—82no—
622C4×Q8—22no—
623C4×Q8—41no—
624C4×D4—22no—
625C4×D4—22no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—44no—
635C4×D4—82no—
636#117—41no—
637#117—41no—
638#117—41no—
639#117—41no—
640C2×C4⋊C4—22no—
641C2×C4⋊C4—22no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—21no—
647C2×C4⋊C4—21no—
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—41no—
663C2×C4⋊C4—41no—
664C2×C4⋊C4—44no—
665C2×C4⋊C4C2×D411yescharacteristic
666C2×C4⋊C4C2×D411yescharacteristic
667C2×C4⋊C4C2×D411yescharacteristic
668C2×C4⋊C4C2×D411yescharacteristic
669C2×C4⋊C4C2×D411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C4⋊C4C2411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
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—44no—
718C2×C22⋊C4—44no—
719C2×C22⋊C4—44no—
720C2×C22⋊C4C2×D411yescharacteristic
721C2×C22⋊C4C2×D411yescharacteristic
722C2×C22⋊C4C2×D411yescharacteristic
723C2×C22⋊C4C2×D411yescharacteristic
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C22⋊C4C2×D411yescharacteristic
727C2×C22⋊C4C2×D411yescharacteristic
728C2×C22⋊C4C2×D411yescharacteristic
729C2×C22⋊C4C2×D411yescharacteristic
730C2×C42—21no—
731C2×C42—21no—
732C2×C42—21no—
733C2×C42—21no—
734C2×C42—21no—
735C2×C42—21no—
736C2×C42—41no—
737C2×C42—41no—
738C2×C42C2×D411yescharacteristic
739C2×C42C2×D411yescharacteristic
740C2×C42C2411yescharacteristic
741C2×C42C2411yescharacteristic
742C2×C42C2411yescharacteristic
743C2×C42C2411yescharacteristic
744#107—22no—
745#107—22no—
746#107—41no—
747#107—41no—
748#107—41no—
749#107—41no—
750#106—41no—
751#106—41no—
752C4⋊C8—41no—
753C4⋊C8—41no—
754#103—22no—
755#103—22no—
756#103—22no—
757#103—22no—
758#103—41no—
759#103—41no—
760#103—41no—
761#103—41no—
762#103—41no—
763#103—41no—
764#103—41no—
765#103—41no—
766#103—41no—
767#103—41no—
768#103—41no—
769#103—41no—
770#102—22no—
771#102—22no—
772#102—22no—
773#102—22no—
774#102—22no—
775#102—22no—
776#102—41no—
777#102—41no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794C22⋊C8—22no—
795C22⋊C8—22no—
796C22⋊C8—41no—
797C22⋊C8—41no—
798C22⋊C8—41no—
799C22⋊C8—41no—
800C22⋊C8—41no—
801C22⋊C8—41no—
802#97—41no—
803#97—41no—
804#97—41no—
805C4×C8—41no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
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#95C2×D411yescharacteristic
838#95C2×D411yescharacteristic
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843C24—21no—
844C24—21no—
845C24—21no—
846C24—42no—
847C24—42no—
848C24—42no—
849C24—42no—
850C24—42no—
851C24—42no—
852C24—42no—
853C24—81no—
854C24—81no—
855C24—81no—
856C24—81no—
857C24—81no—
858C24—81no—
859C24—81no—
860C24C22×D411yescharacteristic
861C24C22×D411yescharacteristic
862C24C22×D411yescharacteristic
863#41—44no—
864#41—82no—
865#41—82no—
866#41—82no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—42no—
879C2×Q8—42no—
880C2×Q8—44no—
881C2×Q8—44no—
882C2×Q8—42no—
883C2×Q8—81no—
884C2×Q8—81no—
885C2×Q8—81no—
886C2×Q8—82no—
887C2×Q8—82no—
888C2×Q8H(5,𝔽2)12yes—
889C2×D4—22no—
890C2×D4—22no—
891C2×D4—24no—
892C2×D4—22no—
893C2×D4—22no—
894C2×D4—22no—
895C2×D4—22no—
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—44no—
913C2×D4—44no—
914C2×D4—41no—
915C2×D4—41no—
916C2×D4—41no—
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—44no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—82no—
933C2×D4—82no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—82no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—816no—
950C2×D4C2×#4112yes—
951C2×D4H(5,𝔽2)12yes—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—22no—
959C22×C4—22no—
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—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
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×C4C22×D411yescharacteristic
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C2×#4112yes—
1017C22×C4H(5,𝔽2)12yes—
1018C22×C4C2511yescharacteristic
1019M16—82no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
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—82no—
1045C2×C8—82no—
1046C2×C8—82no—
1047C4⋊C4—22no—
1048C4⋊C4—22no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—21no—
1054C4⋊C4—21no—
1055C4⋊C4—21no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
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—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—42no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
1080C4⋊C4—42no—
1081C4⋊C4—81no—
1082C4⋊C4—81no—
1083C4⋊C4—81no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4C2×#4112yes—
1094C22⋊C4—24no—
1095C22⋊C4—24no—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—24no—
1099C22⋊C4—22no—
1100C22⋊C4—22no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—42no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C42—21no—
1141C42—21no—
1142C42—21no—
1143C42—21no—
1144C42—21no—
1145C42—21no—
1146C42—21no—
1147C42—21no—
1148C42—41no—
1149C42—41no—
1150C42—42no—
1151C42—81no—
1152C42—81no—
1153C42—81no—
1154C42—81no—
1155C42—81no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—22no—
1166C23—21no—
1167C23—22no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—84no—
1196C23—84no—
1197C23—84no—
1198C23—84no—
1199C23—84no—
1200C23—84no—
1201C23—84no—
1202C23—162no—
1203C23—162no—
1204C23—162no—
1205C23—162no—
1206C23—162no—
1207C23—162no—
1208C23—162no—
1209C23#54612yes—
1210C23#57512yes—
1211C23#57612yes—
1212C23C23×D411yescharacteristic
1213Q8—22no—
1214Q8—22no—
1215Q8—41no—
1216Q8—41no—
1217Q8—41no—
1218Q8—41no—
1219Q8—41no—
1220Q8—41no—
1221Q8—84no—
1222Q8—162no—
1223D4—22no—
1224D4—22no—
1225D4—22no—
1226D4—22no—
1227D4—44no—
1228D4—44no—
1229D4—48no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—84no—
1239D4—82no—
1240D4—84no—
1241D4—84no—
1242D4—84no—
1243D4—84no—
1244D4—162no—
1245D4—162no—
1246D4—162no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—22no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—22no—
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—41no—
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—82no—
1331C2×C4—82no—
1332C2×C4—84no—
1333C2×C4—84no—
1334C2×C4—84no—
1335C2×C4—84no—
1336C2×C4—162no—
1337C2×C4—162no—
1338C2×C4#54612yes—
1339C2×C4C22×#4111yescharacteristic
1340C2×C4C2×H(5,𝔽2)11yescharacteristic
1341C2×C4C2×H(5,𝔽2)11yescharacteristic
1342C2×C4C2×H(5,𝔽2)11yescharacteristic
1343C2×C4#58511yescharacteristic
1344C2×C4#58511yescharacteristic
1345C8—41no—
1346C8—41no—
1347C8—41no—
1348C8—41no—
1349C8—41no—
1350C8—41no—
1351C8—41no—
1352C8—41no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—22no—
1359C22—42no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—42no—
1369C22—41no—
1370C22—42no—
1371C22—41no—
1372C22—41no—
1373C22—42no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—42no—
1378C22—42no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—168no—
1395C22—168no—
1396C22#331914yes—
1397C22C2×#54611yescharacteristic
1398C22#348411yescharacteristic
1399C22#350011yescharacteristic
1400C22C2×#57511yescharacteristic
1401C22C2×#57611yescharacteristic
1402C22#358411yescharacteristic
1403C22#358611yescharacteristic
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—42no—
1414C4—41no—
1415C4—41no—
1416C4—42no—
1417C4—81no—
1418C4—81no—
1419C4—81no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4—81no—
1427C4—81no—
1428C4#351311yescharacteristic
1429C4#351311yescharacteristic
1430C4#353411yescharacteristic
1431C4#353411yescharacteristic
1432C2—24no—
1433C2—81no—
1434C2—81no—
1435C2—82no—
1436C2—82no—
1437C2—161no—
1438C2#4300511yescharacteristic
1439C2C2×#331911yescharacteristic
1440C2#6120711yescharacteristic
1441C2#6159711yescharacteristic
1442C2#6162411yescharacteristic
1443C2#6255811yescharacteristic
1444C2#6258511yescharacteristic
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. #39504C2semidirect
3. #32095C2semidirect
4. #32086C2semidirect
5. #32040C2semidirect
6. #32030C2semidirect
7. #31303C2semidirect
8. #31302C2semidirect
9. #30660C2semidirect
10. #30654C2semidirect
11. #29157C2semidirect
12. #29061C2semidirect
13. #29052C2semidirect
14. #28105C2semidirect
15. #28094C2semidirect
16. #27281C2semidirect
17. #27269C2semidirect
18. #26777C2semidirect
19. #26764C2semidirect
20. #25864C2semidirect
21. #24875C2semidirect
22. #24869C2semidirect
23. #24050C2semidirect
24. #24037C2semidirect
25. #24035C2semidirect
26. #24032C2semidirect
27. C2×#2042C2semidirect
28. #23117C2semidirect
29. #22423C2semidirect
30. #22416C2semidirect
31. #22081C2semidirect
37. C2×#489C22semidirect
38. C2×#485C22semidirect
42. C2×C8×D4C22semidirect
44. C2×#416C22semidirect
45. C22×#103C22semidirect
46. C22×#103C22semidirect
49. #2857C22semidirect
60. #2508C22semidirect
61. #2508C22semidirect
62. #2497C22semidirect
63. #2497C22semidirect
67. #2486C22semidirect
68. #2485C22semidirect
69. #2485C22semidirect
71. #2439C22semidirect
72. #2439C22semidirect
84. #2352C22semidirect
89. C2×#389C22semidirect
90. #2099C22semidirect
91. #2097C22semidirect
92. #2093C22semidirect
93. #2092C22semidirect
94. #2074C22semidirect
96. #2068C22semidirect
97. #2068C22semidirect
99. #2067C22semidirect
100. #2057C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
111. #2042C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2036C22semidirect
122. #2035C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2023C22semidirect
130. #1983C22semidirect
134. #1959C22semidirect
135. #1958C22semidirect
136. #1943C22semidirect
137. #1943C22semidirect
138. #1936C22semidirect
139. #1936C22semidirect
140. #1935C22semidirect
141. #1935C22semidirect
143. #1934C22semidirect
144. #1928C22semidirect
145. #1927C22semidirect
146. #1926C22semidirect
148. #1924C22semidirect
149. #1924C22semidirect
150. #1921C22semidirect
151. #1921C22semidirect
152. #1918C22semidirect
153. #1918C22semidirect
154. #1917C22semidirect
155. #1916C22semidirect
157. #1894C22semidirect
158. #1894C22semidirect
162. #1893C22semidirect
163. #1892C22semidirect
165. #1875C22semidirect
167. #1873C22semidirect
168. #1873C22semidirect
169. #1870C22semidirect
171. #1869C22semidirect
172. #1869C22semidirect
173. #1864C22semidirect
174. #1864C22semidirect
175. #1863C22semidirect
176. #1863C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1853C22semidirect
182. #1823C22semidirect
183. #1808C22semidirect
184. #1808C22semidirect
185. #1805C22semidirect
187. #1788C22semidirect
188. #1788C22semidirect
189. #1788C22semidirect
190. #1787C22semidirect
191. #1787C22semidirect
198. C4×#103C22semidirect
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
#395042
#320952
#320862
#320402
#320302
#313032
#313022
#306602
#306542
#291572
#290612
#290522
#281052
#280942
#272812
#272692
#267772
#267642
#258642
#248752
#248692
#240502
#240372
#240352
#240322
C2×#20422
#231172
#224232
#224162
#220812