Finite Group Databasebeta

← #7325334

Subgroups — #7325334

Order 512.

1823 conjugacy classes of subgroups.

The subgroup lattice has 1523 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53006C211yesmaximal, characteristic, complemented
2#44886C211yesmaximal, characteristic
3#31787C211yesmaximal, characteristic, complemented
4#31517C211yesmaximal, characteristic, complemented
5#31410C211yesmaximal, characteristic, complemented
6#31317C211yesmaximal, characteristic, complemented
7#31202C211yesmaximal, characteristic, complemented
8#31004C211yesmaximal, characteristic, complemented
9#31004C211yesmaximal, characteristic, complemented
10#30860C211yesmaximal, characteristic, complemented
11#30728C211yesmaximal, characteristic, complemented
12#30717C211yesmaximal, characteristic, complemented
13#30474C211yesmaximal, characteristic, complemented
14#30422C211yesmaximal, characteristic, complemented
15#29608C211yesmaximal, characteristic, complemented
16#29604C211yesmaximal, characteristic, complemented
17#29051C211yesmaximal, characteristic, complemented
18#27046C211yesmaximal, characteristic, complemented
19#26945C211yesmaximal, characteristic, complemented
20#26683C211yesmaximal, characteristic, complemented
21#26576C211yesmaximal, characteristic, complemented
22#25769C211yesmaximal, characteristic, complemented
23#25420C211yesmaximal, characteristic, complemented
24#25402C211yesmaximal, characteristic, complemented
25#25119C211yesmaximal, characteristic, complemented
26#24443C211yesmaximal, characteristic, complemented
27#24394C211yesmaximal, characteristic, complemented
28#24393C211yesmaximal, characteristic, complemented
29#24254C211yesmaximal, characteristic, complemented
30#24049C211yesmaximal, characteristic, complemented
31#22035C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#497C2211yescharacteristic
37C2×#484C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic
39C2×#480C2211yescharacteristic
40C2×#468C2211yescharacteristic
41C2×#468C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic, complemented
43C2×#467C2211yescharacteristic, complemented
44C2×#465C2211yescharacteristic
45C2×#460C2211yescharacteristic
46C2×#460C2211yescharacteristic
47C2×#461C2211yescharacteristic
48C2×#452C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic, complemented
51C2×#452C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#441C2211yescharacteristic, complemented
55C2×#435C2211yescharacteristic, complemented
56C2×#417C2211yescharacteristic
57C2×#408C2211yescharacteristic
58#2843—21no—
59#2837—21no—
60#2837—21no—
61#2826—21no—
62#2795—21no—
63#2756—21no—
64#2756—21no—
65#2742—21no—
66#2676—21no—
67#2673—21no—
68#2669—21no—
69#2669—21no—
70#2616C2211yescharacteristic
71#2616C2211yescharacteristic
72#2542C2211yescharacteristic
73#2541—21no—
74#2541C2211yescharacteristic
75#2536C2211yescharacteristic, complemented
76#2536C2211yescharacteristic, complemented
77#2495C2211yescharacteristic, complemented
78#2495C2211yescharacteristic, complemented
79#2487C2211yescharacteristic
80#2461—21no—
81#2433C2211yescharacteristic
82#2431C2211yescharacteristic
83#2429C2211yescharacteristic, complemented
84#2429C2211yescharacteristic, complemented
85#2428C2211yescharacteristic
86#2426C2211yescharacteristic
87#2424—21no—
88#2424—21no—
89#2421C2211yescharacteristic
90#2421C2211yescharacteristic
91#2417C2211yescharacteristic, complemented
92#2417C2211yescharacteristic, complemented
93#2416C2211yescharacteristic
94#2414C2211yescharacteristic
95#2407C2211yescharacteristic
96#2388C2211yescharacteristic
97#2362C2211yescharacteristic
98#2361C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2097C2211yescharacteristic, complemented
101#2086C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2073C2211yescharacteristic
104#2073C2211yescharacteristic
105#2068C2211yescharacteristic, complemented
106#2067C2211yescharacteristic
107#2067C2211yescharacteristic
108#2067C2211yescharacteristic, complemented
109#2056C2211yescharacteristic, complemented
110#2043C2211yescharacteristic, complemented
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2041C2211yescharacteristic
114#2041C2211yescharacteristic
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2035C2211yescharacteristic, complemented
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic, complemented
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic, complemented
129#2014C2211yescharacteristic
130#2014C2211yescharacteristic
131#2013C2211yescharacteristic, complemented
132#2001C2211yescharacteristic
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic, complemented
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1983C2211yescharacteristic
148#1973C2211yescharacteristic
149#1973C2211yescharacteristic
150#1961C2211yescharacteristic
151#1961C2211yescharacteristic
152#1955C2211yescharacteristic
153#1955C2211yescharacteristic, complemented
154#1949C2211yescharacteristic, complemented
155#1944C2211yescharacteristic, complemented
156#1943C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1935C2211yescharacteristic, complemented
159#1928C2211yescharacteristic, complemented
160#1926C2211yescharacteristic, complemented
161#1924C2211yescharacteristic
162#1924C2211yescharacteristic
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1921C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic
169#1894C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1893C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1880C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1873C2211yescharacteristic
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic
187#1854C2211yescharacteristic
188#1852C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1825C2211yescharacteristic
192#1823C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1780C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201#1762C2211yescharacteristic
202#1752C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#550—42no—
219#550—42no—
220#546—42no—
221#546—42no—
222#537—42no—
223#537—42no—
224#535—42no—
225#535—42no—
226C2×C4⋊Q8C2311yescharacteristic
227C2×#127—21no—
228C2×#127—21no—
229C2×#127—21no—
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#124—21no—
233C2×#124C2311yescharacteristic
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×C4×Q8C2311yescharacteristic
268C2×C4×Q8C2311yescharacteristic
269C2×C4×Q8C2311yescharacteristic
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280#497—42no—
281#485—42no—
282#484—42no—
283#480—42no—
284#468—42no—
285#468—42no—
286#468—42no—
287#467—42no—
288#465—42no—
289#461—42no—
290#460—42no—
291#460—42no—
292#452—42no—
293#452—42no—
294#452—42no—
295#452—42no—
296#450—42no—
297#450—42no—
298#441—42no—
299#435—42no—
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311#417—42no—
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344#408—42no—
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361#400—21no—
362#400—21no—
363#400—21no—
364#400—21no—
365#400—21no—
366#399—21no—
367#399—21no—
368#399—21no—
369#398—21no—
370#398—21no—
371#398—21no—
372#398—21no—
373#398—21no—
374#398—21no—
375#397—21no—
376#397—21no—
377#397—21no—
378#397—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#396—21no—
385#395—21no—
386#395—21no—
387#395D411yescharacteristic
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394D411yescharacteristic
402#394D411yescharacteristic
403#394D411yescharacteristic
404#393D411yescharacteristic
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392D411yescharacteristic
415#392D411yescharacteristic
416#392D411yescharacteristic
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#391C2311yescharacteristic
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#389—21no—
428#389—21no—
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#387—21no—
451#387—21no—
452#387—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#384—21no—
466#383—21no—
467#383—21no—
468#382C2311yescharacteristic
469#382C2311yescharacteristic
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480C4×C4⋊C4—21no—
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8C2×D411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—21no—
532C22×D4—22no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4C2×D411yescharacteristic
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C2×Q16—22no—
571C2×Q16—22no—
572C2×Q16—22no—
573C2×Q16—41no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C2×M16—41no—
597C2×M16—41no—
598C2×M16—41no—
599C2×M16—41no—
600C22×C8—22no—
601C22×C8—41no—
602C22×C8—41no—
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C4⋊Q8—41no—
612C4⋊Q8—41no—
613#127—22no—
614#127—41no—
615#127—41no—
616#127—41no—
617#127—44no—
618#127—44no—
619#127—82no—
620#124—22no—
621#124—41no—
622#124—44no—
623#123—44no—
624C22⋊Q8—22no—
625C22⋊Q8—22no—
626C22⋊Q8—22no—
627C22⋊Q8—41no—
628C22⋊Q8—44no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—44no—
653#121—44no—
654#121—44no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—44no—
665#121—44no—
666#121—44no—
667#121—82no—
668#121—82no—
669#120—44no—
670#120—44no—
671#120—44no—
672#120—82no—
673#120—82no—
674C4×Q8—22no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×Q8—41no—
678C4×Q8—41no—
679C4×Q8—41no—
680C4×D4—22no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—44no—
689C4×D4—82no—
690#117—22no—
691#117—41no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—22no—
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—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
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—44no—
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
782C2×C42—21no—
783C2×C42—21no—
784C2×C42—21no—
785C2×C42—21no—
786C2×C42—21no—
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790#107—22no—
791#107—22no—
792#107—22no—
793#107—41no—
794#107—41no—
795#107—41no—
796#106—22no—
797#106—41no—
798C4⋊C8—22no—
799C4⋊C8—41no—
800C4⋊C8—41no—
801#103—22no—
802#103—22no—
803#103—22no—
804#103—22no—
805#103—22no—
806#103—22no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
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—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846#97—41no—
847#97—41no—
848#97—41no—
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#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881C24—21no—
882C24—21no—
883C24—21no—
884C24—42no—
885C24—42no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24—81no—
891C24C22×D411yescharacteristic
892C24C22×D411yescharacteristic
893C24C22×D411yescharacteristic
894C24C22×D411yescharacteristic
895#41—44no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—41no—
925C2×Q8—41no—
926C2×Q8—41no—
927C2×Q8H(5,𝔽2)12yes—
928C2×D4—24no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
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—82no—
991C2×D4—82no—
992C2×D4—82no—
993C2×D4—82no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4H(5,𝔽2)12yes—
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—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C2511yescharacteristic
1076Q16—44no—
1077Q16—82no—
1078SD16—82no—
1079SD16—82no—
1080SD16—82no—
1081SD16—82no—
1082SD16—82no—
1083SD16—82no—
1084M16—82no—
1085M16—82no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—82no—
1110C2×C8H(5,𝔽2)12yes—
1111C4⋊C4—24no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4H(5,𝔽2)12yes—
1156C4⋊C4H(5,𝔽2)12yes—
1157C22⋊C4—24no—
1158C22⋊C4—24no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—42no—
1212C42—42no—
1213C42—42no—
1214C42—42no—
1215C42—81no—
1216C42—81no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—22no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
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—41no—
1265C23—41no—
1266C23—84no—
1267C23—84no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23—162no—
1273C23C23×D411yescharacteristic
1274Q8—22no—
1275Q8—22no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—41no—
1286Q8—82no—
1287D4—22no—
1288D4—22no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—84no—
1300D4—82no—
1301D4—82no—
1302D4—82no—
1303D4—82no—
1304D4—82no—
1305D4—82no—
1306D4—84no—
1307D4—84no—
1308D4—84no—
1309D4—84no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—22no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
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—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—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—84no—
1406C2×C4—84no—
1407C2×C4—162no—
1408C2×C4—162no—
1409C2×C4—162no—
1410C2×C4C2×H(5,𝔽2)11yescharacteristic
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4C2×H(5,𝔽2)11yescharacteristic
1413C2×C4C2×H(5,𝔽2)11yescharacteristic
1414C2×C4C2×H(5,𝔽2)11yescharacteristic
1415C2×C4#58511yescharacteristic
1416C8—22no—
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C8—41no—
1421C8—41no—
1422C8—41no—
1423C8—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—42no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—42no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—42no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
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—168no—
1474C22#348411yescharacteristic
1475C22#348411yescharacteristic
1476C22#349611yescharacteristic
1477C22#358511yescharacteristic
1478C22#358511yescharacteristic
1479C22#358611yescharacteristic
1480C22#358611yescharacteristic
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—42no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—42no—
1492C4—41no—
1493C4—42no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4#353411yescharacteristic
1505C4#353711yescharacteristic
1506C4#354311yescharacteristic
1507C4#354611yescharacteristic
1508C2—81no—
1509C2—81no—
1510C2—81no—
1511C2—81no—
1512C2—82no—
1513C2—161no—
1514C2—161no—
1515C2#4792811yescharacteristic
1516C2#6165211yescharacteristic
1517C2#6165411yescharacteristic
1518C2#6167011yescharacteristic
1519C2#6167511yescharacteristic
1520C2#6228511yescharacteristic
1521C2#6233311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#44886C2
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. #53006C2semidirect
3. #31787C2semidirect
4. #31517C2semidirect
5. #31410C2semidirect
6. #31317C2semidirect
7. #31202C2semidirect
8. #31004C2semidirect
9. #31004C2semidirect
10. #30860C2semidirect
11. #30728C2semidirect
12. #30717C2semidirect
13. #30474C2semidirect
14. #30422C2semidirect
15. #29608C2semidirect
16. #29604C2semidirect
17. #29051C2semidirect
18. #27046C2semidirect
19. #26945C2semidirect
20. #26683C2semidirect
21. #26576C2semidirect
22. #25769C2semidirect
23. #25420C2semidirect
24. #25402C2semidirect
25. #25119C2semidirect
26. #24443C2semidirect
27. #24394C2semidirect
28. #24393C2semidirect
29. #24254C2semidirect
30. #24049C2semidirect
31. #22035C2semidirect
37. C2×#484C22semidirect
41. C2×#468C22semidirect
42. C2×#468C22semidirect
43. C2×#467C22semidirect
50. C2×#452C22semidirect
51. C2×#452C22semidirect
54. C2×#441C22semidirect
55. C2×#435C22semidirect
75. #2536C22semidirect
76. #2536C22semidirect
77. #2495C22semidirect
78. #2495C22semidirect
83. #2429C22semidirect
84. #2429C22semidirect
91. #2417C22semidirect
92. #2417C22semidirect
99. #2101C22semidirect
100. #2097C22semidirect
101. #2086C22semidirect
102. #2076C22semidirect
105. #2068C22semidirect
108. #2067C22semidirect
109. #2056C22semidirect
110. #2043C22semidirect
117. #2036C22semidirect
118. #2035C22semidirect
122. #2034C22semidirect
128. #2033C22semidirect
131. #2013C22semidirect
134. #2001C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
153. #1955C22semidirect
154. #1949C22semidirect
155. #1944C22semidirect
156. #1943C22semidirect
157. #1936C22semidirect
158. #1935C22semidirect
159. #1928C22semidirect
160. #1926C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
165. #1921C22semidirect
166. #1921C22semidirect
169. #1894C22semidirect
170. #1894C22semidirect
172. #1893C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1874C22semidirect
179. #1872C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1863C22semidirect
184. #1863C22semidirect
188. #1852C22semidirect
189. #1852C22semidirect
190. #1851C22semidirect
192. #1823C22semidirect
193. #1805C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
200. #1763C22semidirect
202. #1752C22semidirect

Maximal subgroups

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

subgroupindex
#530062
#448862
#317872
#315172
#314102
#313172
#312022
#310042
#308602
#307282
#307172
#304742
#304222
#296082
#296042
#290512
#270462
#269452
#266832
#265762
#257692
#254202
#254022
#251192
#244432
#243942
#243932
#242542
#240492
#220352