Finite Group Databasebeta

← #7019270

Subgroups — #7019270

Order 512.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44887C211yesmaximal, characteristic, complemented
2#44869C211yesmaximal, characteristic, complemented
3#32063C211yesmaximal, characteristic, complemented
4#32048C211yesmaximal, characteristic, complemented
5#31934C211yesmaximal, characteristic, complemented
6#31933C211yesmaximal, characteristic, complemented
7#31206C211yesmaximal, characteristic, complemented
8#31189C211yesmaximal, characteristic, complemented
9#30576C211yesmaximal, characteristic, complemented
10#30575C211yesmaximal, characteristic, complemented
11#28782C211yesmaximal, characteristic, complemented
12#26797C211yesmaximal, characteristic, complemented
13#26786C211yesmaximal, characteristic, complemented
14#26563C211yesmaximal, characteristic, complemented
15#26549C211yesmaximal, characteristic, complemented
16#25962C211yesmaximal, characteristic, complemented
17#25958C211yesmaximal, characteristic, complemented
18#25552C211yesmaximal, characteristic, complemented
19#25549C211yesmaximal, characteristic, complemented
20#24876C211yesmaximal, characteristic, complemented
21#24865C211yesmaximal, characteristic, complemented
22#24277C211yesmaximal, characteristic, complemented
23#24128C211yesmaximal, characteristic, complemented
24#24117C211yesmaximal, characteristic, complemented
25#24015C211yesmaximal, characteristic, complemented
26#24012C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#22715C211yesmaximal, characteristic, complemented
29#22442C211yesmaximal, characteristic, complemented
30#22039C211yesmaximal, characteristic, complemented
31#21946C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#555C2211yescharacteristic
34C2×#547C2211yescharacteristic, complemented
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#481C2211yescharacteristic
38C2×#481C2211yescharacteristic, complemented
39C2×#485C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#483C2211yescharacteristic, complemented
43C2×#476C2211yescharacteristic
44C2×#476C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic
46C2×#468C2211yescharacteristic
47C2×#442C2211yescharacteristic
48C2×C4×D8C2211yescharacteristic
49C2×#436C2211yescharacteristic
50C2×#416C2211yescharacteristic
51C22×#102C2211yescharacteristic
52C2×#408C2211yescharacteristic
53#2712—21no—
54#2708—21no—
55#2701—21no—
56#2687—21no—
57#2684—21no—
58#2681—21no—
59#2673—21no—
60#2670—21no—
61#2549—21no—
62#2544—21no—
63#2537C2211yescharacteristic, complemented
64#2535C2211yescharacteristic
65#2502C2211yescharacteristic, complemented
66#2500C2211yescharacteristic
67#2492C2211yescharacteristic, complemented
68#2491C2211yescharacteristic
69#2474—21no—
70#2464—21no—
71#2440C2211yescharacteristic
72#2439C2211yescharacteristic
73#2430—21no—
74#2424—21no—
75#2422C2211yescharacteristic
76#2422C2211yescharacteristic, complemented
77#2417C2211yescharacteristic, complemented
78#2416C2211yescharacteristic
79#2415C2211yescharacteristic, complemented
80#2414C2211yescharacteristic
81#2411—21no—
82#2408C2211yescharacteristic
83#2407—21no—
84#2407C2211yescharacteristic
85#2388C2211yescharacteristic
86#2363C2211yescharacteristic, complemented
87#2361C2211yescharacteristic
88#2354C2211yescharacteristic
89D4×C4⋊C4C2211yescharacteristic
90#2339C2211yescharacteristic
91D4×C22⋊C4C2211yescharacteristic
92#2311C2211yescharacteristic
93#2311C2211yescharacteristic
94#2097C2211yescharacteristic, complemented
95#2094C2211yescharacteristic
96#2094C2211yescharacteristic
97#2094C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic
102#2066C2211yescharacteristic, complemented
103#2066C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2065C2211yescharacteristic
106#2058C2211yescharacteristic, complemented
107#2057C2211yescharacteristic, complemented
108#2055C2211yescharacteristic
109#2054C2211yescharacteristic
110#2035C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2024C2211yescharacteristic, complemented
123#2023C2211yescharacteristic
124#2000C2211yescharacteristic
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1993C2211yescharacteristic, complemented
135#1990C2211yescharacteristic, complemented
136#1973C2211yescharacteristic
137#1970C2211yescharacteristic
138#1968C2211yescharacteristic
139#1968C2211yescharacteristic
140#1955C2211yescharacteristic, complemented
141#1954C2211yescharacteristic, complemented
142#1948C2211yescharacteristic, complemented
143#1947C2211yescharacteristic, complemented
144#1943C2211yescharacteristic, complemented
145#1941C2211yescharacteristic, complemented
146#1927C2211yescharacteristic, complemented
147#1926C2211yescharacteristic
148#1926C2211yescharacteristic
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1923C2211yescharacteristic, complemented
153#1923C2211yescharacteristic, complemented
154#1879C2211yescharacteristic
155#1879C2211yescharacteristic
156#1877C2211yescharacteristic
157#1877C2211yescharacteristic
158#1875C2211yescharacteristic, complemented
159#1875C2211yescharacteristic, complemented
160#1874C2211yescharacteristic
161#1874C2211yescharacteristic
162#1874C2211yescharacteristic
163#1873C2211yescharacteristic, complemented
164#1870C2211yescharacteristic, complemented
165#1870C2211yescharacteristic, complemented
166#1869C2211yescharacteristic
167#1864C2211yescharacteristic
168#1864C2211yescharacteristic
169#1864C2211yescharacteristic, complemented
170#1862C2211yescharacteristic, complemented
171#1854C2211yescharacteristic
172#1854C2211yescharacteristic
173#1854C2211yescharacteristic, complemented
174#1854C2211yescharacteristic, complemented
175#1854C2211yescharacteristic, complemented
176#1854C2211yescharacteristic, complemented
177#1854C2211yescharacteristic, complemented
178#1853C2211yescharacteristic
179#1853C2211yescharacteristic
180#1853C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1850C2211yescharacteristic
186#1834C2211yescharacteristic, complemented
187#1809C2211yescharacteristic
188#1809C2211yescharacteristic
189#1809C2211yescharacteristic, complemented
190#1807C2211yescharacteristic
191#1807C2211yescharacteristic
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199C4×#106C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1736C2211yescharacteristic
202#1736C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—24no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#555—42no—
218#555—42no—
219#547—42no—
220#547—42no—
221#537—42no—
222#537—42no—
223#535—42no—
224#535—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×C4⋊Q8C2311yescharacteristic
227C2×#127—21no—
228C2×#124—21no—
229C2×#124—21no—
230C2×#124—21no—
231C2×#124—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117—21no—
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279#485—42no—
280#483—42no—
281#482—42no—
282#482—42no—
283#481—42no—
284#481—42no—
285#476—42no—
286#476—42no—
287#469—42no—
288#468—42no—
289#442—42no—
290C4×D8—42no—
291#436—24no—
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311#416—42no—
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#102—42no—
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337#408—24no—
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×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353C2×C4×C8C2311yescharacteristic
354#400—21no—
355#398—21no—
356#398—21no—
357#398—21no—
358#398—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#395—21no—
367#395D411yescharacteristic
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#394D411yescharacteristic
381#394D411yescharacteristic
382#394D411yescharacteristic
383#393—21no—
384#393—21no—
385#393—21no—
386#393D411yescharacteristic
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392D411yescharacteristic
392#392D411yescharacteristic
393#392D411yescharacteristic
394#391—21no—
395#391—21no—
396#391—21no—
397#391—21no—
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#389—21no—
412#389—21no—
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#387—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#384C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#380—21no—
458#380—21no—
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470#379—21no—
471C4×C4⋊C4—21no—
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C2×#95—21no—
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—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—44no—
519C2×#41—82no—
520C2×#41—82no—
521C22×Q8—21no—
522C22×Q8—21no—
523C22×Q8C2×D411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—22no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—22no—
538C22×D4—22no—
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
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564AGL(1,ℤ/8)—416no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—41no—
577C2×M16—22no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16#4114yescomplemented
583C22×C8—22no—
584C22×C8—41no—
585C22×C8—41no—
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C4⋊Q8—22no—
595C4⋊Q8—22no—
596C4⋊Q8—41no—
597C4⋊Q8—41no—
598#127—44no—
599#124—44no—
600#124—44no—
601#124—44no—
602#124—82no—
603#123—44no—
604#123—44no—
605#123—82no—
606#123—82no—
607C22⋊Q8—22no—
608C22⋊Q8—44no—
609C22⋊Q8—44no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—82no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—22no—
624#121—22no—
625#121—44no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—44no—
634#121—44no—
635#121—44no—
636#121—41no—
637#121—41no—
638#121—82no—
639#121—82no—
640#120—44no—
641#120—44no—
642#120—82no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—82no—
658C4×D4—82no—
659#117—22no—
660#117—22no—
661#117—44no—
662#117—41no—
663#117—41no—
664#117—41no—
665#117—41no—
666#117—41no—
667#117—41no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—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—82no—
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772#107—22no—
773#107—41no—
774#107—41no—
775#107—41no—
776#106—22no—
777#106—22no—
778#106—22no—
779#106—41no—
780#106—41no—
781#106—41no—
782#106—41no—
783#106—41no—
784#106—41no—
785#106—41no—
786#106—41no—
787#106—41no—
788C4⋊C8—22no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791#103—22no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—22no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828#97—41no—
829C4×C8—22no—
830C4×C8—41no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861C24—21no—
862C24—21no—
863C24—21no—
864C24—42no—
865C24—42no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874C24C22×D411yescharacteristic
875#41—44no—
876#41—44no—
877#41—82no—
878#41—82no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883#41—816no—
884C2×Q8—22no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—41no—
892C2×Q8—41no—
893C2×Q8—42no—
894C2×Q8—42no—
895C2×Q8—42no—
896C2×Q8—81no—
897C2×Q8—81no—
898C2×Q8—81no—
899C2×D4—22no—
900C2×D4—24no—
901C2×D4—24no—
902C2×D4—22no—
903C2×D4—22no—
904C2×D4—22no—
905C2×D4—22no—
906C2×D4—22no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4H(5,𝔽2)12yes—
971C2×D4H(5,𝔽2)12yes—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
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—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C2×#4112yes—
1045C22×C42−1+412yes—
1046C22×C4C2511yescharacteristic
1047SD16—44no—
1048SD16—44no—
1049D8—28no—
1050D8—44no—
1051M16—44no—
1052M16—82no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
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—82no—
1076C2×C8C2×#4112yes—
1077C2×C8C2×#4112yes—
1078C4⋊C4—22no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
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—41no—
1102C4⋊C4—41no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4H(5,𝔽2)12yes—
1123C4⋊C4H(5,𝔽2)12yes—
1124C22⋊C4—24no—
1125C22⋊C4—24no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
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—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—42no—
1183C42—42no—
1184C42—42no—
1185C42—42no—
1186C42—81no—
1187C42—81no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—22no—
1204C23—22no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—84no—
1237C23—84no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23—162no—
1243C23#54712yes—
1244C23C23×D411yescharacteristic
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—82no—
1250Q8—84no—
1251Q8—162no—
1252D4—22no—
1253D4—22no—
1254D4—22no—
1255D4—22no—
1256D4—44no—
1257D4—44no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—82no—
1267D4—82no—
1268D4—84no—
1269D4—82no—
1270D4—82no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
1279D4—162no—
1280D4—162no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—22no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—22no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—84no—
1364C2×C4—84no—
1365C2×C4—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—162no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4#54712yes—
1373C2×C4#57712yes—
1374C2×C4#57712yes—
1375C2×C4C22×#4111yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4C2×H(5,𝔽2)11yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4C2×2−1+411yescharacteristic
1381C8—22no—
1382C8—22no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—42no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—42no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—42no—
1421C22—41no—
1422C22—41no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—168no—
1439C22C2×#54711yescharacteristic
1440C22#348411yescharacteristic
1441C22#348411yescharacteristic
1442C22C2×#57711yescharacteristic
1443C22C2×#57711yescharacteristic
1444C22#358511yescharacteristic
1445C22#358511yescharacteristic
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—42no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4#349011yescharacteristic
1470C4#350811yescharacteristic
1471C4#353611yescharacteristic
1472C4#353611yescharacteristic
1473C2—42no—
1474C2—81no—
1475C2—81no—
1476C2—81no—
1477C2—82no—
1478C2—82no—
1479C2—161no—
1480C2#4307911yescharacteristic
1481C2#6127211yescharacteristic
1482C2#6127911yescharacteristic
1483C2#6162311yescharacteristic
1484C2#6164411yescharacteristic
1485C2#6166411yescharacteristic
1486C2#6168511yescharacteristic
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. #44887C2semidirect
2. #44869C2semidirect
3. #32063C2semidirect
4. #32048C2semidirect
5. #31934C2semidirect
6. #31933C2semidirect
7. #31206C2semidirect
8. #31189C2semidirect
9. #30576C2semidirect
10. #30575C2semidirect
11. #28782C2semidirect
12. #26797C2semidirect
13. #26786C2semidirect
14. #26563C2semidirect
15. #26549C2semidirect
16. #25962C2semidirect
17. #25958C2semidirect
18. #25552C2semidirect
19. #25549C2semidirect
20. #24876C2semidirect
21. #24865C2semidirect
22. #24277C2semidirect
23. #24128C2semidirect
24. #24117C2semidirect
25. #24015C2semidirect
26. #24012C2semidirect
27. #23393C2semidirect
28. #22715C2semidirect
29. #22442C2semidirect
30. #22039C2semidirect
31. #21946C2semidirect
34. C2×#547C22semidirect
38. C2×#481C22semidirect
39. C2×#485C22semidirect
42. C2×#483C22semidirect
44. C2×#476C22semidirect
63. #2537C22semidirect
65. #2502C22semidirect
67. #2492C22semidirect
76. #2422C22semidirect
77. #2417C22semidirect
79. #2415C22semidirect
86. #2363C22semidirect
94. #2097C22semidirect
97. #2094C22semidirect
98. #2085C22semidirect
99. #2084C22semidirect
100. #2072C22semidirect
102. #2066C22semidirect
103. #2066C22semidirect
106. #2058C22semidirect
107. #2057C22semidirect
110. #2035C22semidirect
111. #2035C22semidirect
112. #2035C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
122. #2024C22semidirect
134. #1993C22semidirect
135. #1990C22semidirect
140. #1955C22semidirect
141. #1954C22semidirect
142. #1948C22semidirect
143. #1947C22semidirect
144. #1943C22semidirect
145. #1941C22semidirect
146. #1927C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1923C22semidirect
153. #1923C22semidirect
158. #1875C22semidirect
159. #1875C22semidirect
163. #1873C22semidirect
164. #1870C22semidirect
165. #1870C22semidirect
169. #1864C22semidirect
170. #1862C22semidirect
173. #1854C22semidirect
174. #1854C22semidirect
175. #1854C22semidirect
176. #1854C22semidirect
177. #1854C22semidirect
180. #1853C22semidirect
181. #1853C22semidirect
182. #1853C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
186. #1834C22semidirect
189. #1809C22semidirect
192. #1804C22semidirect
199. C4×#106C22semidirect
202. #1736C22semidirect
582. C2×M16#41semidirect

Maximal subgroups

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

subgroupindex
#448872
#448692
#320632
#320482
#319342
#319332
#312062
#311892
#305762
#305752
#287822
#267972
#267862
#265632
#265492
#259622
#259582
#255522
#255492
#248762
#248652
#242772
#241282
#241172
#240152
#240122
#233932
#227152
#224422
#220392
#219462