Finite Group Databasebeta

← #7308053

Subgroups — #7308053

Order 512.

1819 conjugacy classes of subgroups.

The subgroup lattice has 1489 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44874C211yesmaximal, characteristic, complemented
2#42547C211yesmaximal, characteristic, complemented
3#32165C211yesmaximal, characteristic, complemented
4#32128C211yesmaximal, characteristic, complemented
5#31822C211yesmaximal, characteristic, complemented
6#31634C211yesmaximal, characteristic, complemented
7#31504C211yesmaximal, characteristic, complemented
8#31411C211yesmaximal, characteristic, complemented
9#31222C211yesmaximal, characteristic, complemented
10#31022C211yesmaximal, characteristic, complemented
11#30543C211yesmaximal, characteristic, complemented
12#30535C211yesmaximal, characteristic, complemented
13#30475C211yesmaximal, characteristic, complemented
14#30468C211yesmaximal, characteristic, complemented
15#29727C211yesmaximal, characteristic, complemented
16#29677C211yesmaximal, characteristic, complemented
17#28126C211yesmaximal, characteristic, complemented
18#27541C211yesmaximal, characteristic, complemented
19#27246C211yesmaximal, characteristic, complemented
20#26954C211yesmaximal, characteristic, complemented
21#26889C211yesmaximal, characteristic, complemented
22#26746C211yesmaximal, characteristic, complemented
23#26592C211yesmaximal, characteristic, complemented
24#25376C211yesmaximal, characteristic, complemented
25#25334C211yesmaximal, characteristic, complemented
26#24373C211yesmaximal, characteristic, complemented
27#24366C211yesmaximal, characteristic, complemented
28#24236C211yesmaximal, characteristic, complemented
29#24167C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23325C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#542C2211yescharacteristic
35C2×#496C2211yescharacteristic, complemented
36C2×#489C2211yescharacteristic
37C2×#482C2211yescharacteristic, complemented
38C2×#474C2211yescharacteristic, complemented
39C2×#464C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic
41C2×#463C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic, complemented
45C2×#452C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×C4×D8C2211yescharacteristic
52#2826—21no—
53#2752—21no—
54#2743—21no—
55#2730—21no—
56#2697—21no—
57#2685—21no—
58#2684—21no—
59#2681—21no—
60#2676—21no—
61#2639—21no—
62#2635—21no—
63#2620C2211yescharacteristic, complemented
64#2559—21no—
65#2544C2211yescharacteristic
66#2542C2211yescharacteristic, complemented
67#2537C2211yescharacteristic
68#2511C2211yescharacteristic, complemented
69#2497C2211yescharacteristic, complemented
70#2492C2211yescharacteristic, complemented
71#2491C2211yescharacteristic
72#2491C2211yescharacteristic, complemented
73#2472—21no—
74#2452C2211yescharacteristic
75#2450—21no—
76#2447C2211yescharacteristic, complemented
77#2445C2211yescharacteristic
78#2435—21no—
79#2435C2211yescharacteristic
80#2435C2211yescharacteristic
81#2431C2211yescharacteristic, complemented
82#2428C2211yescharacteristic, complemented
83#2426C2211yescharacteristic
84#2415C2211yescharacteristic
85#2407C2211yescharacteristic
86#2405—21no—
87#2395C2211yescharacteristic
88#2367C2211yescharacteristic
89#2366C2211yescharacteristic, complemented
90#2363C2211yescharacteristic
91#2339C2211yescharacteristic, complemented
92D4×C22⋊C4C2211yescharacteristic
93#2324C2211yescharacteristic, complemented
94#2309C2211yescharacteristic
95#2099C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2076C2211yescharacteristic, complemented
98#2076C2211yescharacteristic, complemented
99#2072C2211yescharacteristic, complemented
100#2071C2211yescharacteristic
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic
103#2066C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2035C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2023C2211yescharacteristic, complemented
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2014C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic, complemented
132#2012C2211yescharacteristic, complemented
133#2011C2211yescharacteristic
134#2011C2211yescharacteristic
135#2001C2211yescharacteristic, complemented
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1987C2211yescharacteristic, complemented
144#1987C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1983C2211yescharacteristic, complemented
147#1973C2211yescharacteristic, complemented
148#1972C2211yescharacteristic, complemented
149#1969C2211yescharacteristic, complemented
150#1957C2211yescharacteristic
151#1954C2211yescharacteristic
152#1940C2211yescharacteristic, complemented
153#1940C2211yescharacteristic, complemented
154#1936C2211yescharacteristic
155#1935C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1928C2211yescharacteristic, complemented
158#1926C2211yescharacteristic
159#1925C2211yescharacteristic
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1916C2211yescharacteristic, complemented
168#1916C2211yescharacteristic, complemented
169#1895C2211yescharacteristic
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1877C2211yescharacteristic
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1873C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223D42—42no—
224D42—42no—
225#542—42no—
226#542—42no—
227C2×C4⋊Q8C2311yescharacteristic
228C2×C4⋊Q8C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#126—21no—
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#120—21no—
257C2×#120—21no—
258C2×C4×Q8C2311yescharacteristic
259C2×C4×D4—21no—
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C22×C22⋊C4—21no—
270#496—42no—
271#489—42no—
272#482—42no—
273#474—42no—
274#464—42no—
275#463—42no—
276#463—42no—
277#463—42no—
278#459—42no—
279#459—42no—
280#452—42no—
281#450—42no—
282#449—42no—
283#447—42no—
284#447—42no—
285#447—42no—
286C4×D8—42no—
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340#400—21no—
341#400—21no—
342#400—21no—
343#400—21no—
344#400D411yescharacteristic
345#399—21no—
346#399—21no—
347#399D411yescharacteristic
348#398D411yescharacteristic
349#397—21no—
350#397—21no—
351#397—21no—
352#397D411yescharacteristic
353#397D411yescharacteristic
354#397D411yescharacteristic
355#396—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
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#394D411yescharacteristic
379#394D411yescharacteristic
380#393—21no—
381#393—21no—
382#393—21no—
383#393—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#391—21no—
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#389—21no—
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#388—21no—
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#387—21no—
427#387—21no—
428#387—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#386—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#381—21no—
452#381—21no—
453#380—21no—
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#379—21no—
459#379—21no—
460#379—21no—
461#379—21no—
462#379—21no—
463#379—21no—
464#379—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C2×#95—21no—
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#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C2×#41—22no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8C2411yescharacteristic
513C22×Q8C2411yescharacteristic
514C22×D4—21no—
515C22×D4—22no—
516C22×D4—22no—
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—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—44no—
539C22×D4—82no—
540C22×D4—82no—
541C22×D4C2×D411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556AGL(1,ℤ/8)—416no—
557C2×Q16—41no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C4⋊Q8—22no—
605C4⋊Q8—41no—
606C4⋊Q8—41no—
607C4⋊Q8—41no—
608#127—22no—
609#127—22no—
610#127—41no—
611#127—41no—
612#126—44no—
613#124—22no—
614#124—22no—
615#124—41no—
616#124—41no—
617#124—41no—
618#124—41no—
619#124—41no—
620#124—41no—
621#124—44no—
622#124—82no—
623#124—82no—
624#123—44no—
625#123—82no—
626C22⋊Q8—44no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—82no—
634C22⋊Q8—82no—
635C22⋊Q8—82no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—44no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—82no—
648#121—82no—
649#120—44no—
650#120—44no—
651C4×Q8—22no—
652C4×Q8—41no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—82no—
668#117—41no—
669#117—41no—
670#117—41no—
671#117—41no—
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⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—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—82no—
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×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772#107—22no—
773#107—41no—
774#107—41no—
775#106—41no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781C4⋊C8—41no—
782C4⋊C8—41no—
783#103—22no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103—41no—
791#103—41no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
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—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822#97—41no—
823#97—41no—
824C4×C8—41no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
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#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877#41—44no—
878#41—82no—
879#41—82no—
880#41—82no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—42no—
894C2×Q8—42no—
895C2×Q8—81no—
896C2×Q8—81no—
897C2×Q8—81no—
898C2×Q8—81no—
899C2×D4—24no—
900C2×D4—22no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
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—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—44no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—82no—
954C2×D4—82no—
955C2×D4—82no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
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×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—816no—
974C2×D4H(5,𝔽2)12yes—
975C2×D4H(5,𝔽2)12yes—
976C2×D4H(5,𝔽2)12yes—
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—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C2511yescharacteristic
1034Q16—82no—
1035SD16—44no—
1036SD16—44no—
1037SD16—82no—
1038SD16—82no—
1039SD16—82no—
1040D8—44no—
1041D8—44no—
1042D8—44no—
1043D8—82no—
1044D8—82no—
1045D8—82no—
1046M16—44no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
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—
1071C4⋊C4—22no—
1072C4⋊C4—22no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
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—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4H(5,𝔽2)12yes—
1110C22⋊C4—24no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
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—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—42no—
1180C42—81no—
1181C42—81no—
1182C42—81no—
1183C42—81no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—22no—
1191C23—21no—
1192C23—21no—
1193C23—22no—
1194C23—22no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
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—84no—
1234C23—84no—
1235C23—84no—
1236C23—84no—
1237C23—84no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23—162no—
1243C23—162no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23C23×D411yescharacteristic
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—162no—
1257Q8—162no—
1258D4—22no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—22no—
1263D4—22no—
1264D4—44no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
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—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
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—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4—162no—
1373C2×C4—162no—
1374C2×C4#57612yes—
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4C2×H(5,𝔽2)11yescharacteristic
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4#58511yescharacteristic
1380C2×C4#58511yescharacteristic
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C22—41no—
1390C22—41no—
1391C22—42no—
1392C22—42no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—42no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—42no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—41no—
1411C22—41no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
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—
1439C22—168no—
1440C22#348411yescharacteristic
1441C22#348811yescharacteristic
1442C22#348811yescharacteristic
1443C22C2×#57611yescharacteristic
1444C22#358511yescharacteristic
1445C22#358511yescharacteristic
1446C22#358611yescharacteristic
1447C4—22no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—42no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4#353211yescharacteristic
1471C4#354211yescharacteristic
1472C4#355811yescharacteristic
1473C4#356011yescharacteristic
1474C2—81no—
1475C2—81no—
1476C2—82no—
1477C2—82no—
1478C2—82no—
1479C2—161no—
1480C2—161no—
1481C2#4784411yescharacteristic
1482C2#6160911yescharacteristic
1483C2#6167711yescharacteristic
1484C2#6203111yescharacteristic
1485C2#6204111yescharacteristic
1486C2#6208411yescharacteristic
1487C2#6208811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44874C2semidirect
2. #42547C2semidirect
3. #32165C2semidirect
4. #32128C2semidirect
5. #31822C2semidirect
6. #31634C2semidirect
7. #31504C2semidirect
8. #31411C2semidirect
9. #31222C2semidirect
10. #31022C2semidirect
11. #30543C2semidirect
12. #30535C2semidirect
13. #30475C2semidirect
14. #30468C2semidirect
15. #29727C2semidirect
16. #29677C2semidirect
17. #28126C2semidirect
18. #27541C2semidirect
19. #27246C2semidirect
20. #26954C2semidirect
21. #26889C2semidirect
22. #26746C2semidirect
23. #26592C2semidirect
24. #25376C2semidirect
25. #25334C2semidirect
26. #24373C2semidirect
27. #24366C2semidirect
28. #24236C2semidirect
29. #24167C2semidirect
30. #23860C2semidirect
31. #23325C2semidirect
35. C2×#496C22semidirect
37. C2×#482C22semidirect
38. C2×#474C22semidirect
39. C2×#464C22semidirect
41. C2×#463C22semidirect
42. C2×#463C22semidirect
44. C2×#459C22semidirect
45. C2×#452C22semidirect
63. #2620C22semidirect
66. #2542C22semidirect
68. #2511C22semidirect
69. #2497C22semidirect
70. #2492C22semidirect
72. #2491C22semidirect
76. #2447C22semidirect
81. #2431C22semidirect
82. #2428C22semidirect
89. #2366C22semidirect
91. #2339C22semidirect
93. #2324C22semidirect
95. #2099C22semidirect
96. #2088C22semidirect
97. #2076C22semidirect
98. #2076C22semidirect
99. #2072C22semidirect
101. #2071C22semidirect
103. #2066C22semidirect
104. #2065C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
109. #2055C22semidirect
112. #2054C22semidirect
113. #2054C22semidirect
114. #2054C22semidirect
115. #2042C22semidirect
116. #2041C22semidirect
117. #2036C22semidirect
118. #2035C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
124. #2023C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
131. #2012C22semidirect
132. #2012C22semidirect
135. #2001C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
143. #1987C22semidirect
144. #1987C22semidirect
145. #1983C22semidirect
146. #1983C22semidirect
147. #1973C22semidirect
148. #1972C22semidirect
149. #1969C22semidirect
152. #1940C22semidirect
153. #1940C22semidirect
155. #1935C22semidirect
156. #1934C22semidirect
157. #1928C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1924C22semidirect
163. #1924C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1918C22semidirect
167. #1916C22semidirect
168. #1916C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
172. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1873C22semidirect
185. #1863C22semidirect
186. #1862C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1851C22semidirect
191. #1825C22semidirect
192. #1803C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1798C22semidirect
197. #1788C22semidirect
201. #1762C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#448742
#425472
#321652
#321282
#318222
#316342
#315042
#314112
#312222
#310222
#305432
#305352
#304752
#304682
#297272
#296772
#281262
#275412
#272462
#269542
#268892
#267462
#265922
#253762
#253342
#243732
#243662
#242362
#241672
#238602
#233252