Finite Group Databasebeta

← #6697208

Subgroups — #6697208

Order 512.

1785 conjugacy classes of subgroups.

The subgroup lattice has 1430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42627C211yesmaximal, characteristic, complemented
2#35939C211yesmaximal, characteristic, complemented
3#33086C211yesmaximal, characteristic, complemented
4#32677C211yesmaximal, characteristic, complemented
5#32620C211yesmaximal, characteristic, complemented
6#32224C211yesmaximal, characteristic, complemented
7#32063C211yesmaximal, characteristic, complemented
8#31347C211yesmaximal, characteristic, complemented
9#31270C211yesmaximal, characteristic, complemented
10#30930C211yesmaximal, characteristic, complemented
11#30535C211yesmaximal, characteristic, complemented
12#30354C211yesmaximal, characteristic, complemented
13#30055C211yesmaximal, characteristic, complemented
14#28998C211yesmaximal, characteristic, complemented
15#28917C211yesmaximal, characteristic, complemented
16#27542C211yesmaximal, characteristic, complemented
17#27243C211yesmaximal, characteristic, complemented
18#26746C211yesmaximal, characteristic, complemented
19#25939C211yesmaximal, characteristic, complemented
20#25172C211yesmaximal, characteristic, complemented
21#25164C211yesmaximal, characteristic, complemented
22#24923C211yesmaximal, characteristic, complemented
23#24539C211yesmaximal, characteristic, complemented
24#24442C211yesmaximal, characteristic, complemented
25#24373C211yesmaximal, characteristic, complemented
26#24338C211yesmaximal, characteristic, complemented
27#23861C211yesmaximal, characteristic
28#22880C211yesmaximal, characteristic, complemented
29#22442C211yesmaximal, characteristic, complemented
30#22394C211yesmaximal, characteristic, complemented
31#21509C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D4×Q8C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×#489C2211yescharacteristic, complemented
36C2×#476C2211yescharacteristic, complemented
37C2×#470C2211yescharacteristic, complemented
38C2×#463C2211yescharacteristic
39C2×#463C2211yescharacteristic
40C2×#452C2211yescharacteristic
41C2×#450C2211yescharacteristic, complemented
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#442C2211yescharacteristic
46C2×#440C2211yescharacteristic, complemented
47C2×C4×D8C2211yescharacteristic
48C2×#418C2211yescharacteristic, complemented
49#2824—21no—
50#2797—21no—
51#2779—21no—
52#2736—21no—
53#2685—21no—
54#2649—21no—
55#2644C2211yescharacteristic, complemented
56#2640C2211yescharacteristic, complemented
57#2639—21no—
58#2622—21no—
59#2592C2211yescharacteristic, complemented
60#2592C2211yescharacteristic, complemented
61#2580C2211yescharacteristic, complemented
62#2563C2211yescharacteristic
63#2561—21no—
64#2500C2211yescharacteristic
65#2496C2211yescharacteristic, complemented
66#2492C2211yescharacteristic, complemented
67#2492C2211yescharacteristic, complemented
68#2491C2211yescharacteristic
69#2491C2211yescharacteristic
70#2488—21no—
71#2488—21no—
72#2480—21no—
73#2472—21no—
74#2472—21no—
75#2436—21no—
76#2435C2211yescharacteristic, complemented
77#2427C2211yescharacteristic
78#2426C2211yescharacteristic
79#2421C2211yescharacteristic, complemented
80#2415C2211yescharacteristic
81#2408C2211yescharacteristic
82#2398C2211yescharacteristic
83C2×#393—21no—
84#2363C2211yescharacteristic
85#2339C2211yescharacteristic
86#2339C2211yescharacteristic
87D4×C22⋊C4C2211yescharacteristic, complemented
88D4×C22⋊C4C2211yescharacteristic, complemented
89D4×C22⋊C4C2211yescharacteristic, complemented
90#2326C2211yescharacteristic, complemented
91#2275C2211yescharacteristic, complemented
92#2097C2211yescharacteristic, complemented
93#2077C2211yescharacteristic, complemented
94#2076C2211yescharacteristic, complemented
95#2076C2211yescharacteristic, complemented
96#2073C2211yescharacteristic, complemented
97#2072C2211yescharacteristic, complemented
98#2071C2211yescharacteristic, complemented
99#2067C2211yescharacteristic, complemented
100#2066C2211yescharacteristic, complemented
101#2065C2211yescharacteristic, complemented
102#2058C2211yescharacteristic, complemented
103#2058C2211yescharacteristic, complemented
104#2056C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic
109#2042C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2033C2211yescharacteristic
115#2033C2211yescharacteristic
116#2024C2211yescharacteristic, complemented
117#2024C2211yescharacteristic, complemented
118#2023C2211yescharacteristic, complemented
119#2023C2211yescharacteristic, complemented
120#2023C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2015C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#1993C2211yescharacteristic, complemented
133#1987C2211yescharacteristic, complemented
134#1985C2211yescharacteristic, complemented
135#1985C2211yescharacteristic, complemented
136#1983C2211yescharacteristic, complemented
137#1973C2211yescharacteristic, complemented
138#1973C2211yescharacteristic, complemented
139#1972C2211yescharacteristic
140#1972C2211yescharacteristic
141#1968C2211yescharacteristic, complemented
142#1947C2211yescharacteristic, complemented
143#1935C2211yescharacteristic, complemented
144#1935C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1928C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1925C2211yescharacteristic, complemented
151#1925C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1924C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1918C2211yescharacteristic, complemented
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1894C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1870C2211yescharacteristic
180#1870C2211yescharacteristic
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1840C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1768C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×#103C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
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×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221D4×Q8—42no—
222D4×Q8—42no—
223#546—42no—
224#546—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×C4⋊Q8C2311yescharacteristic
227C2×C4⋊Q8C2311yescharacteristic
228C2×#126—21no—
229C2×#124—21no—
230C2×#124—21no—
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×#121—21no—
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#120—21no—
246C2×#120—21no—
247C2×C4×Q8C2311yescharacteristic
248C2×C4×Q8C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×#117C2311yescharacteristic
258C22×C22⋊C4—21no—
259C22×C22⋊C4—21no—
260C22×C22⋊C4—21no—
261C22×C22⋊C4—21no—
262#489—42no—
263#476—42no—
264#470—42no—
265#463—24no—
266#463—42no—
267#452—42no—
268#450—42no—
269#447—24no—
270#447—42no—
271#447—42no—
272#442—42no—
273#440—42no—
274C4×D8—42no—
275C2×#107C2311yescharacteristic
276C2×#107C2311yescharacteristic
277C2×#107C2311yescharacteristic
278C2×#106C2311yescharacteristic
279C2×#106C2311yescharacteristic
280C2×#106C2311yescharacteristic
281C2×#106C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284C2×C4⋊C8C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286#418—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×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×#97C2311yescharacteristic
324C2×#97C2311yescharacteristic
325C2×#97C2311yescharacteristic
326C2×C4×C8C2311yescharacteristic
327#400—21no—
328#400—21no—
329#400—21no—
330#400—21no—
331#400D411yescharacteristic
332#400D411yescharacteristic
333#399—21no—
334#397—21no—
335#397—21no—
336#397—21no—
337#397—21no—
338#397—21no—
339#397—21no—
340#397—21no—
341#397—21no—
342#397—21no—
343#397—21no—
344#397—21no—
345#397D411yescharacteristic
346#397D411yescharacteristic
347#396—21no—
348#396—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#394—21no—
359#394D411yescharacteristic
360#394D411yescharacteristic
361#393—21no—
362#393—21no—
363#393—21no—
364#393—21no—
365#393—21no—
366#393—21no—
367#393—21no—
368#393—21no—
369#393—21no—
370#393—21no—
371#393—21no—
372#393D411yescharacteristic
373#393D411yescharacteristic
374#392—21no—
375#391—21no—
376#391—21no—
377#391C2311yescharacteristic
378#391C2311yescharacteristic
379#391C2311yescharacteristic
380#391C2311yescharacteristic
381#391C2311yescharacteristic
382#391C2311yescharacteristic
383#390—21no—
384#390—21no—
385#390—21no—
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#389—21no—
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#387—21no—
418#387—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#384C2311yescharacteristic
436#382—21no—
437#382C2311yescharacteristic
438#381—21no—
439#381—21no—
440#380—21no—
441#380C2311yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#379—21no—
448#379—21no—
449#379—21no—
450#379—21no—
451#379—21no—
452#379—21no—
453C4×C4⋊C4C2311yescharacteristic
454C4×C4⋊C4C2311yescharacteristic
455C4×C4⋊C4C2311yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C22⋊C4—21no—
458C4×C22⋊C4—21no—
459C4×C22⋊C4—21no—
460C4×C22⋊C4—21no—
461C4×C22⋊C4C2311yescharacteristic
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465#376C2311yescharacteristic
466C2×#95—21no—
467C2×#95—21no—
468C2×#95—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#336C2311yescharacteristic
488#336C2311yescharacteristic
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×Q8—21no—
508C22×Q8—21no—
509C22×Q8—21no—
510C22×Q8—44no—
511C22×Q8—82no—
512C22×Q8—82no—
513C22×Q8C2×D411yescharacteristic
514C22×Q8C2411yescharacteristic
515C22×Q8C2411yescharacteristic
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4C2×D411yescharacteristic
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549AGL(1,ℤ/8)—416no—
550C2×Q16—41no—
551C2×Q16—41no—
552C2×Q16—41no—
553C2×SD16—22no—
554C2×SD16—22no—
555C2×SD16—22no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8#4114yes—
577C2×M16—22no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C4⋊Q8—22no—
592C4⋊Q8—22no—
593C4⋊Q8—41no—
594C4⋊Q8—41no—
595C4⋊Q8—41no—
596C4⋊Q8—41no—
597#126—82no—
598#124—22no—
599#124—41no—
600#124—41no—
601#124—41no—
602#124—41no—
603#124—41no—
604#124—82no—
605#124—82no—
606#123—44no—
607C22⋊Q8—22no—
608C22⋊Q8—44no—
609C22⋊Q8—44no—
610C22⋊Q8—41no—
611C22⋊Q8—44no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616#121—22no—
617#121—22no—
618#121—41no—
619#121—41no—
620#121—44no—
621#121—41no—
622#121—41no—
623#120—44no—
624#120—82no—
625C4×Q8—41no—
626C4×Q8—41no—
627C4×Q8—41no—
628C4×Q8—41no—
629C4×D4—22no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—22no—
633C4×D4—22no—
634C4×D4—22no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645#117—41no—
646#117—41no—
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⋊C4C2×D411yescharacteristic
661C2×C4⋊C4C2×D411yescharacteristic
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C22⋊C4—21no—
675C2×C22⋊C4—21no—
676C2×C22⋊C4—21no—
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—44no—
721C2×C22⋊C4—82no—
722C2×C22⋊C4—82no—
723C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
731C2×C22⋊C4C2×D411yescharacteristic
732C2×C22⋊C4C2×D411yescharacteristic
733C2×C22⋊C4C2×D411yescharacteristic
734C2×C42—21no—
735C2×C42—21no—
736C2×C42—21no—
737C2×C42—21no—
738C2×C42—21no—
739C2×C42—21no—
740C2×C42C2411yescharacteristic
741C2×C42C2411yescharacteristic
742C2×C42C2411yescharacteristic
743C2×C42C2411yescharacteristic
744C2×C42C2411yescharacteristic
745#107—41no—
746#107—41no—
747#107—41no—
748#106—22no—
749#106—41no—
750#106—41no—
751#106—41no—
752C4⋊C8—22no—
753C4⋊C8—41no—
754C4⋊C8—41no—
755C4⋊C8—41no—
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#102—22no—
767#102—22no—
768#102—22no—
769#102—22no—
770#102—22no—
771#102—22no—
772#102—22no—
773#102—22no—
774#102—22no—
775#102—41no—
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—
786C22⋊C8—22no—
787C22⋊C8—41no—
788C22⋊C8—41no—
789C22⋊C8—41no—
790C22⋊C8—41no—
791C22⋊C8—41no—
792#97—41no—
793#97—41no—
794#97—41no—
795C4×C8—41no—
796#95—21no—
797#95—21no—
798#95—21no—
799#95—21no—
800#95—21no—
801#95—21no—
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#95C2×D411yescharacteristic
825#95C2×D411yescharacteristic
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—81no—
847C24—81no—
848C24—81no—
849C24—81no—
850C24—81no—
851C24—81no—
852C24—81no—
853C24—81no—
854C24C22×D411yescharacteristic
855C24C22×D411yescharacteristic
856#41—44no—
857#41—82no—
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×Q8—21no—
872C2×Q8—41no—
873C2×Q8—41no—
874C2×Q8—41no—
875C2×Q8—42no—
876C2×Q8—42no—
877C2×Q8—42no—
878C2×Q8—42no—
879C2×Q8—42no—
880C2×Q8—81no—
881C2×Q8—81no—
882C2×Q8—81no—
883C2×Q8—81no—
884C2×Q8—816no—
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—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—41no—
906C2×D4—41no—
907C2×D4—41no—
908C2×D4—42no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—44no—
914C2×D4—44no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—82no—
922C2×D4—82no—
923C2×D4—82no—
924C2×D4—82no—
925C2×D4—82no—
926C2×D4—82no—
927C2×D4—81no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4C2×#4112yes—
935C2×D4C2×#4112yes—
936C2×D4H(5,𝔽2)12yes—
937C2×D4H(5,𝔽2)12yes—
938C22×C4—21no—
939C22×C4—24no—
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—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—42no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—42no—
968C22×C4—42no—
969C22×C4—42no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—81no—
982C22×C4—81no—
983C22×C4—81no—
984C22×C4—81no—
985C22×C4—81no—
986C22×C4C22×D411yescharacteristic
987C22×C4C22×D411yescharacteristic
988C22×C4C22×D411yescharacteristic
989C22×C4C22×D411yescharacteristic
990C22×C4C22×D411yescharacteristic
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C22×D411yescharacteristic
995C22×C4C22×D411yescharacteristic
996C22×C4C22×D411yescharacteristic
997C22×C4C22×D411yescharacteristic
998C22×C4C2511yescharacteristic
999Q16—82no—
1000SD16—44no—
1001SD16—44no—
1002SD16—44no—
1003SD16—82no—
1004D8—28no—
1005D8—44no—
1006D8—82no—
1007D8—82no—
1008M16—44no—
1009M16—82no—
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—
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×C8C2×#4112yes—
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—21no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—41no—
1054C4⋊C4—41no—
1055C4⋊C4—41no—
1056C4⋊C4—41no—
1057C4⋊C4—42no—
1058C4⋊C4—42no—
1059C4⋊C4—42no—
1060C4⋊C4—42no—
1061C4⋊C4—81no—
1062C4⋊C4—81no—
1063C4⋊C4—81no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4—81no—
1068C4⋊C4—81no—
1069C4⋊C4—81no—
1070C4⋊C4H(5,𝔽2)12yes—
1071C22⋊C4—24no—
1072C22⋊C4—41no—
1073C22⋊C4—41no—
1074C22⋊C4—41no—
1075C22⋊C4—41no—
1076C22⋊C4—41no—
1077C22⋊C4—41no—
1078C22⋊C4—41no—
1079C22⋊C4—41no—
1080C22⋊C4—41no—
1081C22⋊C4—41no—
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—42no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—42no—
1096C22⋊C4—42no—
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—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—21no—
1132C42—21no—
1133C42—21no—
1134C42—21no—
1135C42—21no—
1136C42—21no—
1137C42—81no—
1138C42—81no—
1139C42—81no—
1140C42—81no—
1141C42—81no—
1142C42—81no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—22no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
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—41no—
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—162no—
1199C23C23×D411yescharacteristic
1200Q8—44no—
1201Q8—41no—
1202Q8—41no—
1203Q8—41no—
1204Q8—41no—
1205Q8—41no—
1206Q8—41no—
1207Q8—41no—
1208Q8—41no—
1209Q8—84no—
1210Q8—84no—
1211Q8—84no—
1212D4—22no—
1213D4—22no—
1214D4—22no—
1215D4—22no—
1216D4—22no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—41no—
1227D4—84no—
1228D4—82no—
1229D4—84no—
1230D4—84no—
1231D4—162no—
1232D4—162no—
1233D4—162no—
1234D4#53814yes—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
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—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—41no—
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—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—84no—
1316C2×C4—84no—
1317C2×C4—84no—
1318C2×C4—84no—
1319C2×C4—162no—
1320C2×C4—162no—
1321C2×C4—162no—
1322C2×C4—162no—
1323C2×C4C22×#4111yescharacteristic
1324C2×C4C2×H(5,𝔽2)11yescharacteristic
1325C2×C4C2×H(5,𝔽2)11yescharacteristic
1326C2×C4C2×H(5,𝔽2)11yescharacteristic
1327C2×C4#58511yescharacteristic
1328C2×C4#58511yescharacteristic
1329C8—22no—
1330C8—41no—
1331C8—41no—
1332C8—41no—
1333C8—41no—
1334C8—41no—
1335C8—41no—
1336C8—41no—
1337C22—24no—
1338C22—42no—
1339C22—42no—
1340C22—42no—
1341C22—42no—
1342C22—42no—
1343C22—42no—
1344C22—41no—
1345C22—42no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—42no—
1350C22—41no—
1351C22—41no—
1352C22—42no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
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—81no—
1377C22—81no—
1378C22—81no—
1379C22—168no—
1380C22—168no—
1381C22D4×#4111yescharacteristic
1382C22#348411yescharacteristic
1383C22#348811yescharacteristic
1384C22#358511yescharacteristic
1385C22#358511yescharacteristic
1386C22#358511yescharacteristic
1387C22#358611yescharacteristic
1388C4—41no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—42no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—81no—
1402C4—81no—
1403C4—81no—
1404C4—81no—
1405C4—81no—
1406C4—81no—
1407C4—81no—
1408C4—81no—
1409C4—81no—
1410C4—81no—
1411C4—81no—
1412C4C2×#53811yescharacteristic
1413C4#351411yescharacteristic
1414C4#354511yescharacteristic
1415C4#355811yescharacteristic
1416C2—44no—
1417C2—81no—
1418C2—81no—
1419C2—82no—
1420C2—161no—
1421C2—161no—
1422C2#3771611yescharacteristic
1423C2#6150511yescharacteristic
1424C2#6151011yescharacteristic
1425C2#6164411yescharacteristic
1426C2#6165611yescharacteristic
1427C2#6207611yescharacteristic
1428C2#6208811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23861C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2398 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42627C2semidirect
2. #35939C2semidirect
3. #33086C2semidirect
4. #32677C2semidirect
5. #32620C2semidirect
6. #32224C2semidirect
7. #32063C2semidirect
8. #31347C2semidirect
9. #31270C2semidirect
10. #30930C2semidirect
11. #30535C2semidirect
12. #30354C2semidirect
13. #30055C2semidirect
14. #28998C2semidirect
15. #28917C2semidirect
16. #27542C2semidirect
17. #27243C2semidirect
18. #26746C2semidirect
19. #25939C2semidirect
20. #25172C2semidirect
21. #25164C2semidirect
22. #24923C2semidirect
23. #24539C2semidirect
24. #24442C2semidirect
25. #24373C2semidirect
26. #24338C2semidirect
28. #22880C2semidirect
29. #22442C2semidirect
30. #22394C2semidirect
31. #21509C2semidirect
33. C2×D4×Q8C22semidirect
35. C2×#489C22semidirect
36. C2×#476C22semidirect
37. C2×#470C22semidirect
41. C2×#450C22semidirect
46. C2×#440C22semidirect
48. C2×#418C22semidirect
55. #2644C22semidirect
56. #2640C22semidirect
59. #2592C22semidirect
60. #2592C22semidirect
61. #2580C22semidirect
65. #2496C22semidirect
66. #2492C22semidirect
67. #2492C22semidirect
76. #2435C22semidirect
79. #2421C22semidirect
87. D4×C22⋊C4C22semidirect
88. D4×C22⋊C4C22semidirect
89. D4×C22⋊C4C22semidirect
90. #2326C22semidirect
91. #2275C22semidirect
92. #2097C22semidirect
93. #2077C22semidirect
94. #2076C22semidirect
95. #2076C22semidirect
96. #2073C22semidirect
97. #2072C22semidirect
98. #2071C22semidirect
99. #2067C22semidirect
100. #2066C22semidirect
101. #2065C22semidirect
102. #2058C22semidirect
103. #2058C22semidirect
104. #2056C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
109. #2042C22semidirect
110. #2035C22semidirect
111. #2035C22semidirect
112. #2035C22semidirect
116. #2024C22semidirect
117. #2024C22semidirect
118. #2023C22semidirect
119. #2023C22semidirect
120. #2023C22semidirect
121. #2023C22semidirect
122. #2015C22semidirect
123. #2015C22semidirect
124. #2015C22semidirect
132. #1993C22semidirect
133. #1987C22semidirect
134. #1985C22semidirect
135. #1985C22semidirect
136. #1983C22semidirect
137. #1973C22semidirect
138. #1973C22semidirect
141. #1968C22semidirect
142. #1947C22semidirect
143. #1935C22semidirect
144. #1935C22semidirect
145. #1934C22semidirect
146. #1928C22semidirect
147. #1928C22semidirect
148. #1926C22semidirect
149. #1926C22semidirect
150. #1925C22semidirect
151. #1925C22semidirect
152. #1925C22semidirect
153. #1924C22semidirect
154. #1924C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
159. #1918C22semidirect
163. #1894C22semidirect
164. #1880C22semidirect
173. #1878C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1873C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1862C22semidirect
185. #1854C22semidirect
186. #1851C22semidirect
187. #1851C22semidirect
188. #1840C22semidirect
189. #1825C22semidirect
190. #1809C22semidirect
191. #1804C22semidirect
192. #1802C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1768C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. C4×#103C22semidirect
201. #1753C22semidirect
202. #1753C22semidirect

Maximal subgroups

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

subgroupindex
#426272
#359392
#330862
#326772
#326202
#322242
#320632
#313472
#312702
#309302
#305352
#303542
#300552
#289982
#289172
#275422
#272432
#267462
#259392
#251722
#251642
#249232
#245392
#244422
#243732
#243382
#238612
#228802
#224422
#223942
#215092