Finite Group Databasebeta

← #7055091

Subgroups — #7055091

Order 512.

1908 conjugacy classes of subgroups.

The subgroup lattice has 1528 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44899C211yesmaximal, characteristic, complemented
2#42987C211yesmaximal, characteristic, complemented
3#32120C211yesmaximal, characteristic, complemented
4#32046C211yesmaximal, characteristic, complemented
5#31864C211yesmaximal, characteristic, complemented
6#31719C211yesmaximal, characteristic, complemented
7#31391C211yesmaximal, characteristic, complemented
8#30708C211yesmaximal, characteristic, complemented
9#30704C211yesmaximal, characteristic, complemented
10#30615C211yesmaximal, characteristic, complemented
11#28975C211yesmaximal, characteristic, complemented
12#28912C211yesmaximal, characteristic, complemented
13#28562C211yesmaximal, characteristic, complemented
14#27271C211yesmaximal, characteristic, complemented
15#26940C211yesmaximal, characteristic, complemented
16#26744C211yesmaximal, characteristic, complemented
17#25997C211yesmaximal, characteristic, complemented
18#25575C211yesmaximal, characteristic, complemented
19#25534C211yesmaximal, characteristic, complemented
20#25397C211yesmaximal, characteristic, complemented
21#24890C211yesmaximal, characteristic, complemented
22#24563C211yesmaximal, characteristic, complemented
23#24394C211yesmaximal, characteristic, complemented
24#24355C211yesmaximal, characteristic, complemented
25#24267C211yesmaximal, characteristic, complemented
26#23979C211yesmaximal, characteristic, complemented
27#23387C211yesmaximal, characteristic, complemented
28#22847C211yesmaximal, characteristic, complemented
29#22580C211yesmaximal, characteristic, complemented
30#22490C211yesmaximal, characteristic, complemented
31#21770C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#556C2211yescharacteristic
34C2×#553C2211yescharacteristic, complemented
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#488C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#482C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#465C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#450C2211yescharacteristic
47C2×#435C2211yescharacteristic, complemented
48C2×C8×D4C2211yescharacteristic
49C2×#418C2211yescharacteristic
50C2×#418C2211yescharacteristic
51C2×#408C2211yescharacteristic
52C2×#408C2211yescharacteristic
53#2818—21no—
54#2710—21no—
55#2685—21no—
56#2685—21no—
57#2685—21no—
58#2678—21no—
59#2673—21no—
60#2670—21no—
61#2670—21no—
62#2662—21no—
63#2632—21no—
64#2616C2211yescharacteristic
65#2548—21no—
66#2540C2211yescharacteristic, complemented
67#2540C2211yescharacteristic, complemented
68#2539—21no—
69#2537C2211yescharacteristic, complemented
70#2521—21no—
71#2501C2211yescharacteristic, complemented
72#2491C2211yescharacteristic, complemented
73#2491C2211yescharacteristic, complemented
74#2490C2211yescharacteristic, complemented
75#2445—21no—
76#2441C2211yescharacteristic
77#2435C2211yescharacteristic
78#2426C2211yescharacteristic, complemented
79#2426C2211yescharacteristic, complemented
80#2422C2211yescharacteristic, complemented
81#2418—21no—
82#2414C2211yescharacteristic, complemented
83#2414C2211yescharacteristic, complemented
84#2414C2211yescharacteristic, complemented
85#2414C2211yescharacteristic, complemented
86#2408C2211yescharacteristic
87#2408C2211yescharacteristic
88#2388C2211yescharacteristic
89#2363C2211yescharacteristic, complemented
90#2354C2211yescharacteristic
91#2347C2211yescharacteristic
92D4×C22⋊C4C2211yescharacteristic
93#2311C2211yescharacteristic
94#2100C2211yescharacteristic, complemented
95#2093C2211yescharacteristic, complemented
96#2087C2211yescharacteristic, complemented
97#2086C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2075C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2059C2211yescharacteristic, complemented
103#2054C2211yescharacteristic
104#2054C2211yescharacteristic
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2036C2211yescharacteristic, complemented
110#2036C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2025C2211yescharacteristic, complemented
116#2023C2211yescharacteristic, complemented
117#2023C2211yescharacteristic, complemented
118#2012C2211yescharacteristic
119#2012C2211yescharacteristic
120#2000C2211yescharacteristic, complemented
121#2000C2211yescharacteristic, complemented
122#2000C2211yescharacteristic, complemented
123#2000C2211yescharacteristic, complemented
124#1999C2211yescharacteristic
125#1999C2211yescharacteristic
126#1999C2211yescharacteristic
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1990C2211yescharacteristic, complemented
135#1989C2211yescharacteristic, complemented
136#1988C2211yescharacteristic, complemented
137#1970C2211yescharacteristic
138#1970C2211yescharacteristic
139#1959C2211yescharacteristic, complemented
140#1954C2211yescharacteristic, complemented
141#1947C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1936C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1926C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1919C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1895C2211yescharacteristic, complemented
155#1895C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1894C2211yescharacteristic
158#1893C2211yescharacteristic, complemented
159#1893C2211yescharacteristic, complemented
160#1893C2211yescharacteristic, complemented
161#1892C2211yescharacteristic
162#1892C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1875C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1874C2211yescharacteristic, complemented
174#1873C2211yescharacteristic
175#1873C2211yescharacteristic, complemented
176#1872C2211yescharacteristic, complemented
177#1870C2211yescharacteristic
178#1869C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1854C2211yescharacteristic
183#1852C2211yescharacteristic, complemented
184#1851C2211yescharacteristic, complemented
185#1850C2211yescharacteristic
186#1825C2211yescharacteristic
187#1825C2211yescharacteristic
188#1825C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1809C2211yescharacteristic
191#1808C2211yescharacteristic
192#1803C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1762C2211yescharacteristic, complemented
197C4×#103C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1735C2211yescharacteristic
202#1735C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×D8—42no—
209C22×D8—42no—
210C22×D8—42no—
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#556—24no—
221#556—42no—
222#553—42no—
223#553—42no—
224#535—24no—
225#535—42no—
226#535—42no—
227#535—42no—
228C2×C4⋊Q8C2311yescharacteristic
229C2×#127—21no—
230C2×#127—21no—
231C2×#126—21no—
232C2×#126—21no—
233C2×#126—21no—
234C2×#125C2311yescharacteristic
235C2×#124—21no—
236C2×#124—21no—
237C2×#124—21no—
238C2×#124—21no—
239C2×#124—21no—
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×C4×Q8—21no—
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C2×#117C2311yescharacteristic
282C2×#117C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C22⋊C4—21no—
285#488—42no—
286#485—42no—
287#482—42no—
288#468—42no—
289#466—42no—
290#466—42no—
291#465—42no—
292#463—42no—
293#463—42no—
294#450—42no—
295#435—42no—
296C8×D4—42no—
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#418—24no—
307#418—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336#408—42no—
337#408—42no—
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352#399—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#399—21no—
357#397—21no—
358#397—21no—
359#396—21no—
360#396—21no—
361#396—21no—
362#395—21no—
363#395D411yescharacteristic
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394D411yescharacteristic
384#394D411yescharacteristic
385#394D411yescharacteristic
386#393—21no—
387#393—21no—
388#393D411yescharacteristic
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392D411yescharacteristic
398#392D411yescharacteristic
399#392D411yescharacteristic
400#391—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#389—21no—
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#389C2311yescharacteristic
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#387—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#385—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#383—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465#379—21no—
466C4×C4⋊C4—21no—
467C4×C4⋊C4—21no—
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C25—21no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C22×Q8—21no—
514C22×Q8C2×D411yescharacteristic
515C22×Q8C2411yescharacteristic
516C22×D4—21no—
517C22×D4—22no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
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—21no—
530C22×D4—21no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
544C22×D4C2×D411yescharacteristic
545C22×D4C2×D411yescharacteristic
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×SD16—22no—
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—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—416no—
578C2×M16—22no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C22×C8—22no—
585C22×C8—22no—
586C22×C8—22no—
587C22×C8—41no—
588C22×C8—41no—
589C22×C8—41no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8—41no—
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C4⋊Q8—22no—
602C4⋊Q8—41no—
603#127—44no—
604#127—44no—
605#126—44no—
606#126—44no—
607#126—44no—
608#125—22no—
609#125—41no—
610#124—44no—
611#124—41no—
612#124—41no—
613#124—41no—
614#124—41no—
615#124—44no—
616#124—44no—
617#124—82no—
618#124—82no—
619#123—44no—
620#123—82no—
621#123—82no—
622#123—82no—
623C22⋊Q8—22no—
624C22⋊Q8—22no—
625C22⋊Q8—22no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—44no—
650#121—41no—
651#121—41no—
652#121—41no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—82no—
657#120—44no—
658#120—44no—
659#120—44no—
660#120—44no—
661#120—82no—
662#120—82no—
663C4×Q8—22no—
664C4×Q8—41no—
665C4×Q8—44no—
666C4×D4—22no—
667C4×D4—22no—
668C4×D4—22no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—44no—
677#117—22no—
678#117—22no—
679#117—22no—
680#117—22no—
681#117—41no—
682#117—41no—
683#117—41no—
684#117—41no—
685#117—41no—
686#117#4114yes—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—82no—
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C42—21no—
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796#107—22no—
797#107—41no—
798#107—41no—
799#107—41no—
800#106—22no—
801#106—41no—
802C4⋊C8—22no—
803C4⋊C8—41no—
804C4⋊C8—41no—
805#103—22no—
806#103—22no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—22no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844#97—41no—
845C4×C8—41no—
846C4×C8—41no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24C22×D411yescharacteristic
887C24C22×D411yescharacteristic
888C24C22×D411yescharacteristic
889C24C22×D411yescharacteristic
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894C2×Q8—22no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—41no—
902C2×Q8—41no—
903C2×Q8—42no—
904C2×Q8—42no—
905C2×Q8—81no—
906C2×D4—22no—
907C2×D4—24no—
908C2×D4—22no—
909C2×D4—22no—
910C2×D4—22no—
911C2×D4—22no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—41no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—82no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4H(5,𝔽2)12yes—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C2×#4112yes—
1052C22×C4H(5,𝔽2)12yes—
1053C22×C4C2511yescharacteristic
1054SD16—82no—
1055SD16—82no—
1056D8—44no—
1057D8—44no—
1058D8—44no—
1059D8—44no—
1060M16—82no—
1061M16—82no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—44no—
1086C2×C8—82no—
1087C2×C8—82no—
1088C2×C8H(5,𝔽2)12yes—
1089C4⋊C4—22no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4C2×#4112yes—
1129C4⋊C4C2×#4112yes—
1130C4⋊C4H(5,𝔽2)12yes—
1131C22⋊C4—24no—
1132C22⋊C4—24no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C42—24no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—42no—
1202C42—42no—
1203C42—42no—
1204C42—42no—
1205C42—81no—
1206C42—81no—
1207C42—81no—
1208C42—81no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—22no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—84no—
1265C23—84no—
1266C23—84no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23#54612yes—
1279C23C23×D411yescharacteristic
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—82no—
1285Q8—84no—
1286D4—22no—
1287D4—22no—
1288D4—44no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—82no—
1304D4—84no—
1305D4—84no—
1306D4—82no—
1307D4—82no—
1308D4—84no—
1309D4—82no—
1310D4—82no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—21no—
1340C2×C4—22no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4—162no—
1405C2×C4#54612yes—
1406C2×C4#57612yes—
1407C2×C4C22×#4111yescharacteristic
1408C2×C4C2×H(5,𝔽2)11yescharacteristic
1409C2×C4C2×H(5,𝔽2)11yescharacteristic
1410C2×C4C2×H(5,𝔽2)11yescharacteristic
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4#58511yescharacteristic
1413C8—22no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C8—41no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—42no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—42no—
1450C22—41no—
1451C22—41no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—168no—
1478C22—168no—
1479C22C2×#54611yescharacteristic
1480C22#348411yescharacteristic
1481C22#349611yescharacteristic
1482C22C2×#57611yescharacteristic
1483C22#358411yescharacteristic
1484C22#358411yescharacteristic
1485C22#358511yescharacteristic
1486C4—22no—
1487C4—22no—
1488C4—41no—
1489C4—42no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—42no—
1497C4—42no—
1498C4—41no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4#349411yescharacteristic
1509C4#350811yescharacteristic
1510C4#353211yescharacteristic
1511C4#354211yescharacteristic
1512C2—42no—
1513C2—81no—
1514C2—81no—
1515C2—81no—
1516C2—82no—
1517C2—161no—
1518C2—161no—
1519C2—161no—
1520C2#4388711yescharacteristic
1521C2#6117111yescharacteristic
1522C2#6120811yescharacteristic
1523C2#6163611yescharacteristic
1524C2#6168811yescharacteristic
1525C2#6231811yescharacteristic
1526C2#6232411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44899C2semidirect
2. #42987C2semidirect
3. #32120C2semidirect
4. #32046C2semidirect
5. #31864C2semidirect
6. #31719C2semidirect
7. #31391C2semidirect
8. #30708C2semidirect
9. #30704C2semidirect
10. #30615C2semidirect
11. #28975C2semidirect
12. #28912C2semidirect
13. #28562C2semidirect
14. #27271C2semidirect
15. #26940C2semidirect
16. #26744C2semidirect
17. #25997C2semidirect
18. #25575C2semidirect
19. #25534C2semidirect
20. #25397C2semidirect
21. #24890C2semidirect
22. #24563C2semidirect
23. #24394C2semidirect
24. #24355C2semidirect
25. #24267C2semidirect
26. #23979C2semidirect
27. #23387C2semidirect
28. #22847C2semidirect
29. #22580C2semidirect
30. #22490C2semidirect
31. #21770C2semidirect
34. C2×#553C22semidirect
37. C2×#488C22semidirect
38. C2×#485C22semidirect
39. C2×#482C22semidirect
40. C2×#468C22semidirect
43. C2×#465C22semidirect
47. C2×#435C22semidirect
66. #2540C22semidirect
67. #2540C22semidirect
69. #2537C22semidirect
71. #2501C22semidirect
72. #2491C22semidirect
73. #2491C22semidirect
74. #2490C22semidirect
78. #2426C22semidirect
79. #2426C22semidirect
80. #2422C22semidirect
82. #2414C22semidirect
83. #2414C22semidirect
84. #2414C22semidirect
85. #2414C22semidirect
89. #2363C22semidirect
94. #2100C22semidirect
95. #2093C22semidirect
96. #2087C22semidirect
97. #2086C22semidirect
98. #2077C22semidirect
99. #2075C22semidirect
100. #2071C22semidirect
101. #2071C22semidirect
102. #2059C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2036C22semidirect
110. #2036C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2025C22semidirect
116. #2023C22semidirect
117. #2023C22semidirect
120. #2000C22semidirect
121. #2000C22semidirect
122. #2000C22semidirect
123. #2000C22semidirect
134. #1990C22semidirect
135. #1989C22semidirect
136. #1988C22semidirect
139. #1959C22semidirect
140. #1954C22semidirect
141. #1947C22semidirect
142. #1936C22semidirect
143. #1936C22semidirect
144. #1934C22semidirect
145. #1934C22semidirect
146. #1926C22semidirect
147. #1926C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1919C22semidirect
153. #1918C22semidirect
154. #1895C22semidirect
155. #1895C22semidirect
156. #1895C22semidirect
158. #1893C22semidirect
159. #1893C22semidirect
160. #1893C22semidirect
162. #1892C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
167. #1875C22semidirect
168. #1875C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
171. #1875C22semidirect
172. #1874C22semidirect
173. #1874C22semidirect
175. #1873C22semidirect
176. #1872C22semidirect
178. #1869C22semidirect
179. #1869C22semidirect
180. #1864C22semidirect
181. #1862C22semidirect
183. #1852C22semidirect
184. #1851C22semidirect
188. #1825C22semidirect
189. #1825C22semidirect
192. #1803C22semidirect
196. #1762C22semidirect
197. C4×#103C22semidirect
198. C4×#102C22semidirect
200. C8×C22⋊C4C22semidirect
202. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#448992
#429872
#321202
#320462
#318642
#317192
#313912
#307082
#307042
#306152
#289752
#289122
#285622
#272712
#269402
#267442
#259972
#255752
#255342
#253972
#248902
#245632
#243942
#243552
#242672
#239792
#233872
#228472
#225802
#224902
#217702