Finite Group Databasebeta

← #7080676

Subgroups — #7080676

Order 512.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1427 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59279C211yesmaximal, characteristic, complemented
2#59030C211yesmaximal, characteristic, complemented
3#32163C211yesmaximal, characteristic, complemented
4#32129C211yesmaximal, characteristic, complemented
5#31913C211yesmaximal, characteristic, complemented
6#31865C211yesmaximal, characteristic, complemented
7#31830C211yesmaximal, characteristic, complemented
8#31637C211yesmaximal, characteristic, complemented
9#30618C211yesmaximal, characteristic, complemented
10#30523C211yesmaximal, characteristic, complemented
11#27588C211yesmaximal, characteristic, complemented
12#27423C211yesmaximal, characteristic, complemented
13#27271C211yesmaximal, characteristic, complemented
14#27072C211yesmaximal, characteristic, complemented
15#26734C211yesmaximal, characteristic, complemented
16#26436C211yesmaximal, characteristic, complemented
17#26227C211yesmaximal, characteristic, complemented
18#25329C211yesmaximal, characteristic, complemented
19#25135C211yesmaximal, characteristic, complemented
20#25105C211yesmaximal, characteristic, complemented
21#24917C211yesmaximal, characteristic, complemented
22#24639C211yesmaximal, characteristic, complemented
23#24539C211yesmaximal, characteristic, complemented
24#24371C211yesmaximal, characteristic, complemented
25#23938C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic
27#23546C211yesmaximal, characteristic, complemented
28#22863C211yesmaximal, characteristic, complemented
29#22428C211yesmaximal, characteristic, complemented
30#22073C211yesmaximal, characteristic, complemented
31#21895C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#529C2211yescharacteristic
35C2×#488C2211yescharacteristic
36C2×#470C2211yescharacteristic, complemented
37C2×#464C2211yescharacteristic
38C2×#464C2211yescharacteristic, complemented
39C2×#452C2211yescharacteristic, complemented
40C2×#449C2211yescharacteristic
41C2×#450C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#440C2211yescharacteristic, complemented
44C2×#436C2211yescharacteristic
45C2×#423C2211yescharacteristic, complemented
46C2×#417C2211yescharacteristic, complemented
47C2×#418C2211yescharacteristic
48C2×#418C2211yescharacteristic
49#2761—21no—
50#2752—21no—
51#2691—21no—
52#2685—21no—
53#2577—21no—
54#2565C2211yescharacteristic, complemented
55#2554—21no—
56#2544C2211yescharacteristic
57#2534—21no—
58#2531—21no—
59#2518—21no—
60#2516—21no—
61#2513C2211yescharacteristic, complemented
62#2512C2211yescharacteristic, complemented
63#2500C2211yescharacteristic, complemented
64#2490C2211yescharacteristic
65#2490C2211yescharacteristic, complemented
66#2476—21no—
67#2454C2211yescharacteristic
68#2445C2211yescharacteristic
69#2441C2211yescharacteristic, complemented
70#2435C2211yescharacteristic
71#2435C2211yescharacteristic
72#2426C2211yescharacteristic
73#2421C2211yescharacteristic, complemented
74#2418—21no—
75#2417C2211yescharacteristic
76#2411—21no—
77#2407C2211yescharacteristic
78#2405—21no—
79#2373—21no—
80#2367C2211yescharacteristic
81#2362C2211yescharacteristic, complemented
82#2361C2211yescharacteristic
83#2355C2211yescharacteristic, complemented
84#2354C2211yescharacteristic
85#2341C2211yescharacteristic, complemented
86D4×C22⋊C4—21no—
87D4×C22⋊C4C2211yescharacteristic
88C4×#123C2211yescharacteristic
89#2297C2211yescharacteristic, complemented
90C2×#390C2211yescharacteristic
91#2283C2211yescharacteristic, complemented
92#2099C2211yescharacteristic, complemented
93#2099C2211yescharacteristic, complemented
94#2092C2211yescharacteristic
95#2092C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2075C2211yescharacteristic, complemented
98#2073C2211yescharacteristic
99#2073C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic
102#2065C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2056C2211yescharacteristic, complemented
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2054C2211yescharacteristic
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2042C2211yescharacteristic
116#2042C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2035C2211yescharacteristic, complemented
119#2026C2211yescharacteristic, complemented
120#2025C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2014C2211yescharacteristic
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic, complemented
127#2012C2211yescharacteristic, complemented
128#2011C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1989C2211yescharacteristic, complemented
133#1989C2211yescharacteristic, complemented
134#1989C2211yescharacteristic, complemented
135#1983C2211yescharacteristic, complemented
136#1983C2211yescharacteristic, complemented
137#1982C2211yescharacteristic
138#1970C2211yescharacteristic, complemented
139#1968C2211yescharacteristic, complemented
140#1959C2211yescharacteristic, complemented
141#1957C2211yescharacteristic
142#1940C2211yescharacteristic, complemented
143#1939C2211yescharacteristic, complemented
144#1936C2211yescharacteristic
145#1936C2211yescharacteristic, complemented
146#1934C2211yescharacteristic, complemented
147#1933C2211yescharacteristic, complemented
148#1928C2211yescharacteristic, complemented
149#1926C2211yescharacteristic
150#1926C2211yescharacteristic, complemented
151#1925C2211yescharacteristic
152#1925C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1919C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1916C2211yescharacteristic, complemented
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1895C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic, complemented
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic
178#1873C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1864C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1817C2211yescharacteristic, complemented
190#1805C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1802C2211yescharacteristic
195#1802C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199C4×#103C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221D42—24no—
222D42—42no—
223C2×#127C2311yescharacteristic
224#529—24no—
225#529—42no—
226C2×#126—21no—
227C2×#126—21no—
228C2×#125C2311yescharacteristic
229C2×#125C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#123—21no—
234C2×#123—21no—
235C2×#123D411yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—21no—
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#120—21no—
244C2×#120—21no—
245C2×C4×Q8C2311yescharacteristic
246C2×C4×Q8C2311yescharacteristic
247C2×C4×Q8C2311yescharacteristic
248C2×C4×D4—21no—
249C2×C4×D4—21no—
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×#117—21no—
255C2×#117C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C22⋊C4—21no—
259C22×C22⋊C4—21no—
260C22×C22⋊C4—21no—
261C22×C42C2311yescharacteristic
262#488—42no—
263#470—42no—
264#464—42no—
265#464—42no—
266#452—42no—
267#450—42no—
268#449—24no—
269#447—42no—
270#440—42no—
271#436—42no—
272C2×#107C2311yescharacteristic
273C2×#107C2311yescharacteristic
274C2×#106C2311yescharacteristic
275C2×#106C2311yescharacteristic
276#423—42no—
277C2×C4⋊C8C2311yescharacteristic
278C2×C4⋊C8C2311yescharacteristic
279C2×C4⋊C8C2311yescharacteristic
280C2×C4⋊C8C2311yescharacteristic
281C2×C4⋊C8C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284#418—42no—
285#418—42no—
286#417—42no—
287C2×#103C2311yescharacteristic
288C2×#103C2311yescharacteristic
289C2×#103C2311yescharacteristic
290C2×#103C2311yescharacteristic
291C2×#103C2311yescharacteristic
292C2×#103C2311yescharacteristic
293C2×#103C2311yescharacteristic
294C2×#103C2311yescharacteristic
295C2×#103C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×#97C2311yescharacteristic
325C2×C4×C8C2311yescharacteristic
326C2×C4×C8C2311yescharacteristic
327#400—21no—
328#399—21no—
329#399—21no—
330#398—21no—
331#398—21no—
332#398—21no—
333#397—21no—
334#397—21no—
335#397—21no—
336#397—21no—
337#397—21no—
338#397—21no—
339#396—21no—
340#396—21no—
341#396—21no—
342#396—21no—
343#396—21no—
344#394—21no—
345#394—21no—
346#394—21no—
347#394—21no—
348#394—21no—
349#394—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#392—21no—
359#391C2311yescharacteristic
360#391C2311yescharacteristic
361#391C2311yescharacteristic
362#391C2311yescharacteristic
363#390—21no—
364#390—21no—
365#390—21no—
366#390—21no—
367#390—21no—
368#390—21no—
369#390—21no—
370#390—21no—
371#390C2311yescharacteristic
372#390C2311yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#389—21no—
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#388—21no—
389#388—21no—
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#388—21no—
401#388—21no—
402#388—21no—
403#388—21no—
404#388D411yescharacteristic
405#388D411yescharacteristic
406#387—21no—
407#387—21no—
408#387—21no—
409#387—21no—
410#387—21no—
411#387—21no—
412#387—21no—
413#387D411yescharacteristic
414#387D411yescharacteristic
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#386D411yescharacteristic
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385D411yescharacteristic
431#384C2311yescharacteristic
432#384C2311yescharacteristic
433#383—21no—
434#382—21no—
435#382C2311yescharacteristic
436#382C2311yescharacteristic
437#381—21no—
438#381D411yescharacteristic
439#380—21no—
440#380—21no—
441#380—21no—
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#379—21no—
447#379—21no—
448#379—21no—
449#379—21no—
450#379—21no—
451C4×C4⋊C4—21no—
452C4×C4⋊C4—21no—
453C4×C4⋊C4—21no—
454C4×C4⋊C4C2311yescharacteristic
455C4×C4⋊C4C2311yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468#376—21no—
469#340C2311yescharacteristic
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#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—22no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C22×Q8C2411yescharacteristic
508C22×Q8C2411yescharacteristic
509C22×D4—21no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—44no—
530C22×D4—44no—
531C22×D4—82no—
532C22×D4C2×D411yescharacteristic
533C22×D4C2411yescharacteristic
534C22×D4C2411yescharacteristic
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4C2×D411yescharacteristic
543C23×C4C2×D411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546AGL(1,ℤ/8)—416no—
547C2×Q16—22no—
548C2×Q16—41no—
549C2×Q16—41no—
550C2×SD16—22no—
551C2×SD16—22no—
552C2×SD16—22no—
553C2×SD16—22no—
554C2×SD16—22no—
555C2×SD16—41no—
556C2×SD16—41no—
557C2×SD16—41no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×M16—22no—
572C2×M16—22no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588#127—22no—
589#127—41no—
590#126—44no—
591#126—44no—
592#125—22no—
593#125—41no—
594#125—41no—
595#125—41no—
596#124—22no—
597#124—22no—
598#124—41no—
599#124—41no—
600#124—41no—
601#124—41no—
602#123—42no—
603#123—44no—
604#123—82no—
605C22⋊Q8—22no—
606C22⋊Q8—22no—
607C22⋊Q8—22no—
608C22⋊Q8—41no—
609C22⋊Q8—41no—
610C22⋊Q8—41no—
611#121—22no—
612#121—22no—
613#121—44no—
614#121—41no—
615#121—41no—
616#121—41no—
617#121#4114yes—
618#120—44no—
619#120—44no—
620C4×Q8—22no—
621C4×Q8—22no—
622C4×Q8—41no—
623C4×Q8—41no—
624C4×Q8—41no—
625C4×Q8—41no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—22no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—44no—
635C4×D4—82no—
636#117—44no—
637#117—41no—
638#117—41no—
639#117—41no—
640#117—41no—
641C2×C4⋊C4—21no—
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—41no—
661C2×C4⋊C4—41no—
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2×D411yescharacteristic
665C2×C4⋊C4C2×D411yescharacteristic
666C2×C4⋊C4C2×D411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
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—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—82no—
723C2×C22⋊C4—82no—
724C2×C22⋊C4—82no—
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C22⋊C4C2×D411yescharacteristic
727C2×C22⋊C4C2×D411yescharacteristic
728C2×C22⋊C4C2×D411yescharacteristic
729C2×C22⋊C4C2×D411yescharacteristic
730C2×C22⋊C4C2×D411yescharacteristic
731C2×C22⋊C4C2×D411yescharacteristic
732C2×C22⋊C4C2×D411yescharacteristic
733C2×C42—22no—
734C2×C42—22no—
735C2×C42—21no—
736C2×C42—21no—
737C2×C42—21no—
738C2×C42—21no—
739C2×C42—21no—
740C2×C42—21no—
741C2×C42—21no—
742C2×C42—21no—
743C2×C42—21no—
744C2×C42C2×D411yescharacteristic
745C2×C42C2×D411yescharacteristic
746C2×C42C2411yescharacteristic
747C2×C42C2411yescharacteristic
748C2×C42C2411yescharacteristic
749C2×C42C2411yescharacteristic
750C2×C42C2411yescharacteristic
751#107—41no—
752#107—41no—
753#106—41no—
754#106—41no—
755C4⋊C8—41no—
756C4⋊C8—41no—
757C4⋊C8—41no—
758C4⋊C8—41no—
759C4⋊C8—41no—
760C4⋊C8—41no—
761C4⋊C8—41no—
762#103—22no—
763#103—22no—
764#103—22no—
765#103—41no—
766#103—41no—
767#103—41no—
768#103—41no—
769#103—41no—
770#103—41no—
771#103—41no—
772#102—22no—
773#102—22no—
774#102—22no—
775#102—22no—
776#102—22no—
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—
799#97—41no—
800C4×C8—41no—
801C4×C8—41no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
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#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829#95C2×D411yescharacteristic
830#95C2×D411yescharacteristic
831#95C2×D411yescharacteristic
832#95C2×D411yescharacteristic
833#95C2×D411yescharacteristic
834#95C2×D411yescharacteristic
835#95C2×D411yescharacteristic
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—42no—
841C24—42no—
842C24—42no—
843C24—42no—
844C24—42no—
845C24—42no—
846C24—42no—
847C24—81no—
848C24—81no—
849C24—81no—
850C24—81no—
851C24—81no—
852C24—81no—
853C24—81no—
854C24C22×D411yescharacteristic
855C24C22×D411yescharacteristic
856#41—44no—
857#41—44no—
858#41—82no—
859#41—82no—
860C2×Q8—21no—
861C2×Q8—21no—
862C2×Q8—21no—
863C2×Q8—21no—
864C2×Q8—21no—
865C2×Q8—21no—
866C2×Q8—21no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—21no—
871C2×Q8H(5,𝔽2)12yes—
872C2×D4—22no—
873C2×D4—24no—
874C2×D4—22no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
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—44no—
898C2×D4—44no—
899C2×D4—41no—
900C2×D4—42no—
901C2×D4—42no—
902C2×D4—42no—
903C2×D4—42no—
904C2×D4—42no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—44no—
908C2×D4—42no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—82no—
915C2×D4—82no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—82no—
922C2×D4—82no—
923C2×D4—82no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—81no—
928C2×D4—81no—
929C2×D4—816no—
930C2×D4C2×#4112yes—
931C2×D4H(5,𝔽2)12yes—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—41no—
957C22×C4—41no—
958C22×C4—41no—
959C22×C4—41no—
960C22×C4—42no—
961C22×C4—42no—
962C22×C4—42no—
963C22×C4—42no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—81no—
968C22×C4—81no—
969C22×C4—81no—
970C22×C4—81no—
971C22×C4—81no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4C22×D411yescharacteristic
976C22×C4C22×D411yescharacteristic
977C22×C4C22×D411yescharacteristic
978C22×C4C22×D411yescharacteristic
979C22×C4C22×D411yescharacteristic
980C22×C4C22×D411yescharacteristic
981C22×C4C22×D411yescharacteristic
982C22×C4C22×D411yescharacteristic
983C22×C4C22×D411yescharacteristic
984C22×C4C22×D411yescharacteristic
985C22×C4C22×D411yescharacteristic
986C22×C4C22×D411yescharacteristic
987C22×C4C2×#4112yes—
988C22×C4H(5,𝔽2)12yes—
989C22×C4C2511yescharacteristic
990Q16—82no—
991SD16—44no—
992SD16—44no—
993SD16—44no—
994SD16—82no—
995D8—44no—
996D8—44no—
997D8—82no—
998M16—44no—
999M16—82no—
1000M16—82no—
1001C2×C8—21no—
1002C2×C8—21no—
1003C2×C8—21no—
1004C2×C8—21no—
1005C2×C8—21no—
1006C2×C8—21no—
1007C2×C8—21no—
1008C2×C8—21no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C4⋊C4—22no—
1026C4⋊C4—22no—
1027C4⋊C4—22no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—21no—
1031C4⋊C4—21no—
1032C4⋊C4—21no—
1033C4⋊C4—21no—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—41no—
1048C4⋊C4—41no—
1049C4⋊C4—42no—
1050C4⋊C4—42no—
1051C4⋊C4—42no—
1052C4⋊C4—42no—
1053C4⋊C4—42no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—42no—
1057C4⋊C4—81no—
1058C4⋊C4—81no—
1059C4⋊C4—81no—
1060C4⋊C4—81no—
1061C4⋊C4—81no—
1062C4⋊C4—81no—
1063C4⋊C4—81no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4—81no—
1068C4⋊C4C2×#4112yes—
1069C22⋊C4—22no—
1070C22⋊C4—24no—
1071C22⋊C4—22no—
1072C22⋊C4—41no—
1073C22⋊C4—41no—
1074C22⋊C4—41no—
1075C22⋊C4—41no—
1076C22⋊C4—41no—
1077C22⋊C4—41no—
1078C22⋊C4—42no—
1079C22⋊C4—42no—
1080C22⋊C4—42no—
1081C22⋊C4—42no—
1082C22⋊C4—42no—
1083C22⋊C4—42no—
1084C22⋊C4—42no—
1085C22⋊C4—42no—
1086C22⋊C4—42no—
1087C22⋊C4—42no—
1088C22⋊C4—42no—
1089C22⋊C4—42no—
1090C22⋊C4—42no—
1091C22⋊C4—42no—
1092C22⋊C4—81no—
1093C22⋊C4—81no—
1094C22⋊C4—81no—
1095C22⋊C4—81no—
1096C22⋊C4—81no—
1097C22⋊C4—81no—
1098C22⋊C4—81no—
1099C22⋊C4—81no—
1100C22⋊C4—81no—
1101C22⋊C4—81no—
1102C22⋊C4—81no—
1103C22⋊C4—81no—
1104C22⋊C4—81no—
1105C22⋊C4—81no—
1106C22⋊C4—81no—
1107C22⋊C4—81no—
1108C22⋊C4—81no—
1109C22⋊C4—81no—
1110C22⋊C4—81no—
1111C22⋊C4—81no—
1112C22⋊C4—81no—
1113C22⋊C4—81no—
1114C22⋊C4—81no—
1115C22⋊C4—81no—
1116C22⋊C4—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C42—22no—
1123C42—22no—
1124C42—21no—
1125C42—21no—
1126C42—21no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—21no—
1132C42—21no—
1133C42—21no—
1134C42—42no—
1135C42—42no—
1136C42—42no—
1137C42—81no—
1138C42—81no—
1139C42—81no—
1140C42—81no—
1141C42—81no—
1142C42—81no—
1143C23—21no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—22no—
1153C23—21no—
1154C23—21no—
1155C23—22no—
1156C23—21no—
1157C23—21no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—84no—
1185C23—84no—
1186C23—84no—
1187C23—84no—
1188C23—84no—
1189C23—84no—
1190C23—84no—
1191C23—162no—
1192C23—162no—
1193C23—162no—
1194C23—162no—
1195C23—162no—
1196C23—162no—
1197C23—162no—
1198C23#54612yes—
1199C23C23×D411yescharacteristic
1200Q8—22no—
1201Q8—22no—
1202Q8—41no—
1203Q8—41no—
1204Q8—41no—
1205Q8—41no—
1206Q8—41no—
1207Q8—41no—
1208D4—22no—
1209D4—22no—
1210D4—22no—
1211D4—22no—
1212D4—44no—
1213D4—48no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—84no—
1227D4—84no—
1228D4—84no—
1229D4—84no—
1230D4—84no—
1231D4—162no—
1232D4—162no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—22no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—22no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
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—84no—
1312C2×C4—84no—
1313C2×C4—82no—
1314C2×C4—82no—
1315C2×C4—84no—
1316C2×C4—162no—
1317C2×C4—162no—
1318C2×C4#54612yes—
1319C2×C4#57512yes—
1320C2×C4C22×#4111yescharacteristic
1321C2×C4C2×H(5,𝔽2)11yescharacteristic
1322C2×C4C2×H(5,𝔽2)11yescharacteristic
1323C2×C4C2×H(5,𝔽2)11yescharacteristic
1324C2×C4#58511yescharacteristic
1325C2×C4#58511yescharacteristic
1326C8—41no—
1327C8—41no—
1328C8—41no—
1329C8—41no—
1330C8—41no—
1331C8—41no—
1332C8—41no—
1333C8—41no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—42no—
1342C22—41no—
1343C22—41no—
1344C22—42no—
1345C22—41no—
1346C22—41no—
1347C22—42no—
1348C22—41no—
1349C22—41no—
1350C22—42no—
1351C22—42no—
1352C22—41no—
1353C22—42no—
1354C22—81no—
1355C22—81no—
1356C22—81no—
1357C22—81no—
1358C22—81no—
1359C22—81no—
1360C22—81no—
1361C22—81no—
1362C22—81no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—168no—
1377C22—168no—
1378C22C2×#54611yescharacteristic
1379C22#348811yescharacteristic
1380C22#348811yescharacteristic
1381C22C2×#57511yescharacteristic
1382C22#358411yescharacteristic
1383C22#358511yescharacteristic
1384C22#358511yescharacteristic
1385C4—22no—
1386C4—22no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—42no—
1396C4—41no—
1397C4—41no—
1398C4—42no—
1399C4—81no—
1400C4—81no—
1401C4—81no—
1402C4—81no—
1403C4—81no—
1404C4—81no—
1405C4—81no—
1406C4—81no—
1407C4—81no—
1408C4—81no—
1409C4#351311yescharacteristic
1410C4#351311yescharacteristic
1411C4#353211yescharacteristic
1412C4#354511yescharacteristic
1413C2—42no—
1414C2—81no—
1415C2—82no—
1416C2—82no—
1417C2—161no—
1418C2—161no—
1419C2#4400111yescharacteristic
1420C2#6115611yescharacteristic
1421C2#6119511yescharacteristic
1422C2#6197411yescharacteristic
1423C2#6200611yescharacteristic
1424C2#6202811yescharacteristic
1425C2#6208111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23860C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59279C2semidirect
2. #59030C2semidirect
3. #32163C2semidirect
4. #32129C2semidirect
5. #31913C2semidirect
6. #31865C2semidirect
7. #31830C2semidirect
8. #31637C2semidirect
9. #30618C2semidirect
10. #30523C2semidirect
11. #27588C2semidirect
12. #27423C2semidirect
13. #27271C2semidirect
14. #27072C2semidirect
15. #26734C2semidirect
16. #26436C2semidirect
17. #26227C2semidirect
18. #25329C2semidirect
19. #25135C2semidirect
20. #25105C2semidirect
21. #24917C2semidirect
22. #24639C2semidirect
23. #24539C2semidirect
24. #24371C2semidirect
25. #23938C2semidirect
27. #23546C2semidirect
28. #22863C2semidirect
29. #22428C2semidirect
30. #22073C2semidirect
31. #21895C2semidirect
36. C2×#470C22semidirect
38. C2×#464C22semidirect
39. C2×#452C22semidirect
43. C2×#440C22semidirect
45. C2×#423C22semidirect
46. C2×#417C22semidirect
54. #2565C22semidirect
61. #2513C22semidirect
62. #2512C22semidirect
63. #2500C22semidirect
65. #2490C22semidirect
69. #2441C22semidirect
73. #2421C22semidirect
81. #2362C22semidirect
83. #2355C22semidirect
85. #2341C22semidirect
89. #2297C22semidirect
91. #2283C22semidirect
92. #2099C22semidirect
93. #2099C22semidirect
95. #2092C22semidirect
96. #2088C22semidirect
97. #2075C22semidirect
99. #2073C22semidirect
100. #2072C22semidirect
102. #2065C22semidirect
103. #2065C22semidirect
104. #2056C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
112. #2054C22semidirect
113. #2054C22semidirect
114. #2054C22semidirect
116. #2042C22semidirect
117. #2036C22semidirect
118. #2035C22semidirect
119. #2026C22semidirect
120. #2025C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2015C22semidirect
126. #2012C22semidirect
127. #2012C22semidirect
130. #2000C22semidirect
132. #1989C22semidirect
133. #1989C22semidirect
134. #1989C22semidirect
135. #1983C22semidirect
136. #1983C22semidirect
138. #1970C22semidirect
139. #1968C22semidirect
140. #1959C22semidirect
142. #1940C22semidirect
143. #1939C22semidirect
145. #1936C22semidirect
146. #1934C22semidirect
147. #1933C22semidirect
148. #1928C22semidirect
150. #1926C22semidirect
152. #1925C22semidirect
153. #1925C22semidirect
154. #1924C22semidirect
155. #1923C22semidirect
156. #1921C22semidirect
157. #1919C22semidirect
158. #1916C22semidirect
159. #1916C22semidirect
163. #1895C22semidirect
164. #1894C22semidirect
165. #1894C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1878C22semidirect
175. #1877C22semidirect
178. #1873C22semidirect
179. #1873C22semidirect
181. #1864C22semidirect
182. #1863C22semidirect
183. #1853C22semidirect
184. #1852C22semidirect
185. #1851C22semidirect
186. #1851C22semidirect
187. #1851C22semidirect
188. #1825C22semidirect
189. #1817C22semidirect
190. #1805C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1804C22semidirect
195. #1802C22semidirect
199. C4×#103C22semidirect
201. #1753C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#592792
#590302
#321632
#321292
#319132
#318652
#318302
#316372
#306182
#305232
#275882
#274232
#272712
#270722
#267342
#264362
#262272
#253292
#251352
#251052
#249172
#246392
#245392
#243712
#239382
#238602
#235462
#228632
#224282
#220732
#218952