Finite Group Databasebeta

← #7307790

Subgroups — #7307790

Order 512.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59095C211yesmaximal, characteristic, complemented
2#39529C211yesmaximal, characteristic, complemented
3#32212C211yesmaximal, characteristic, complemented
4#32096C211yesmaximal, characteristic, complemented
5#31895C211yesmaximal, characteristic, complemented
6#31790C211yesmaximal, characteristic, complemented
7#31594C211yesmaximal, characteristic, complemented
8#31314C211yesmaximal, characteristic, complemented
9#31314C211yesmaximal, characteristic, complemented
10#31174C211yesmaximal, characteristic, complemented
11#31147C211yesmaximal, characteristic, complemented
12#31000C211yesmaximal, characteristic, complemented
13#30609C211yesmaximal, characteristic, complemented
14#30581C211yesmaximal, characteristic, complemented
15#29952C211yesmaximal, characteristic, complemented
16#29690C211yesmaximal, characteristic, complemented
17#28114C211yesmaximal, characteristic, complemented
18#27110C211yesmaximal, characteristic, complemented
19#26904C211yesmaximal, characteristic, complemented
20#26812C211yesmaximal, characteristic, complemented
21#26562C211yesmaximal, characteristic, complemented
22#26538C211yesmaximal, characteristic, complemented
23#26388C211yesmaximal, characteristic, complemented
24#25974C211yesmaximal, characteristic, complemented
25#25097C211yesmaximal, characteristic, complemented
26#24913C211yesmaximal, characteristic, complemented
27#24744C211yesmaximal, characteristic, complemented
28#24248C211yesmaximal, characteristic, complemented
29#24150C211yesmaximal, characteristic, complemented
30#24044C211yesmaximal, characteristic, complemented
31#23324C211yesmaximal, characteristic, complemented
32C2×#546—21no—
33C2×D42C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#482C2211yescharacteristic
36C2×#480C2211yescharacteristic, complemented
37C2×#476C2211yescharacteristic, complemented
38C2×#476C2211yescharacteristic, complemented
39C2×#474C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic, complemented
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#442C2211yescharacteristic
47C2×#442C2211yescharacteristic, complemented
48C2×#418C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2757—21no—
51#2739—21no—
52#2728—21no—
53#2696—21no—
54#2676—21no—
55#2670—21no—
56#2630—21no—
57#2570C2211yescharacteristic, complemented
58#2541C2211yescharacteristic
59#2535C2211yescharacteristic
60#2523—21no—
61#2508C2211yescharacteristic, complemented
62#2495C2211yescharacteristic, complemented
63#2495C2211yescharacteristic, complemented
64#2491C2211yescharacteristic
65#2488—21no—
66#2485C2211yescharacteristic
67#2456—21no—
68#2452C2211yescharacteristic
69#2452C2211yescharacteristic, complemented
70#2445C2211yescharacteristic
71#2439C2211yescharacteristic, complemented
72#2433C2211yescharacteristic
73#2433C2211yescharacteristic
74#2428C2211yescharacteristic
75#2424—21no—
76#2424—21no—
77#2422C2211yescharacteristic, complemented
78#2420C2211yescharacteristic, complemented
79#2416C2211yescharacteristic
80#2410—21no—
81#2404—21no—
82#2366C2211yescharacteristic
83#2363C2211yescharacteristic, complemented
84#2361C2211yescharacteristic
85#2349C2211yescharacteristic, complemented
86D4×C22⋊C4C2211yescharacteristic
87#2318—21no—
88C4×#123C2211yescharacteristic
89C4×#121C2211yescharacteristic, complemented
90C2×#390C2211yescharacteristic
91#2094C2211yescharacteristic
92#2094C2211yescharacteristic, complemented
93#2092C2211yescharacteristic
94#2092C2211yescharacteristic, complemented
95#2092C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2085C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2067C2211yescharacteristic
103#2067C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2065C2211yescharacteristic
106#2065C2211yescharacteristic
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2058C2211yescharacteristic, complemented
112#2058C2211yescharacteristic, complemented
113#2054C2211yescharacteristic
114#2054C2211yescharacteristic, complemented
115#2054C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2041C2211yescharacteristic
118#2041C2211yescharacteristic
119#2041C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic
125#2034C2211yescharacteristic
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic
134#2023C2211yescharacteristic, complemented
135#2011C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic, complemented
139#1988C2211yescharacteristic, complemented
140#1982C2211yescharacteristic
141#1982C2211yescharacteristic, complemented
142#1972C2211yescharacteristic, complemented
143#1961C2211yescharacteristic
144#1961C2211yescharacteristic
145#1961C2211yescharacteristic, complemented
146#1955C2211yescharacteristic
147#1949C2211yescharacteristic, complemented
148#1944C2211yescharacteristic, complemented
149#1944C2211yescharacteristic, complemented
150#1940C2211yescharacteristic, complemented
151#1940C2211yescharacteristic, complemented
152#1936C2211yescharacteristic
153#1936C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1919C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1917C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1864C2211yescharacteristic
177#1864C2211yescharacteristic, complemented
178#1864C2211yescharacteristic, complemented
179#1864C2211yescharacteristic, complemented
180#1862C2211yescharacteristic
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1851C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1804C2211yescharacteristic
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1776C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212#546—48no—
213D42—42no—
214D42—42no—
215#532—42no—
216#532—42no—
217C2×C4⋊Q8C2311yescharacteristic
218C2×C4⋊Q8C2311yescharacteristic
219C2×#127C2311yescharacteristic
220C2×#127C2311yescharacteristic
221C2×#127C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#124—21no—
224C2×#124—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×#123D411yescharacteristic
228C2×C22⋊Q8—21no—
229C2×C22⋊Q8—21no—
230C2×C22⋊Q8—21no—
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#120—21no—
244C2×#120—21no—
245C2×#120—21no—
246C2×#120—21no—
247C2×#120—21no—
248C2×#120—21no—
249C2×C4×D4—21no—
250C2×C4×D4—21no—
251C2×C4×D4—21no—
252C2×C4×D4—21no—
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×#117C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265C22×C22⋊C4—21no—
266C22×C42C2311yescharacteristic
267#482—42no—
268#480—42no—
269#476—42no—
270#476—42no—
271#474—42no—
272#469—42no—
273#459—42no—
274#459—42no—
275#459—42no—
276#447—42no—
277#447—42no—
278#442—42no—
279#442—42no—
280C2×#107C2311yescharacteristic
281C2×#107C2311yescharacteristic
282C2×#107C2311yescharacteristic
283C2×#107C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×#106C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299#418—42no—
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×#97C2311yescharacteristic
340C2×#97C2311yescharacteristic
341C2×#97C2311yescharacteristic
342#400—21no—
343#400—21no—
344#400—21no—
345#400—21no—
346#398—21no—
347#398—21no—
348#397—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#396—21no—
355#396—21no—
356#396—21no—
357#396—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#393—21no—
367#393—21no—
368#393—21no—
369#393—21no—
370#392—21no—
371#392—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#391—21no—
379#391—21no—
380#390—21no—
381#390—21no—
382#390—21no—
383#390—21no—
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#389—21no—
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388D411yescharacteristic
413#388D411yescharacteristic
414#387—21no—
415#387—21no—
416#387—21no—
417#387—21no—
418#387—21no—
419#387D411yescharacteristic
420#387D411yescharacteristic
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386D411yescharacteristic
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385D411yescharacteristic
442#384C2311yescharacteristic
443#383—21no—
444#383—21no—
445#382—21no—
446#382C2311yescharacteristic
447#382C2311yescharacteristic
448#382C2311yescharacteristic
449#381—21no—
450#381D411yescharacteristic
451#380—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#379—21no—
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C22⋊C4—21no—
466C4×C22⋊C4—21no—
467C4×C22⋊C4C2311yescharacteristic
468C4×C22⋊C4C2311yescharacteristic
469C4×C22⋊C4C2311yescharacteristic
470C2×#95—21no—
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497C25—21no—
498C25—21no—
499C2×#41—44no—
500C2×#41—44no—
501C2×#41—82no—
502C22×Q8—21no—
503C22×Q8—21no—
504C22×D4—21no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—44no—
533C22×D4—44no—
534C22×D4—82no—
535C22×D4C2×D411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4C2×D411yescharacteristic
550C23×C4C2×D411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C2×D8—22no—
554C2×D8—22no—
555C2×D8—22no—
556C2×D8—22no—
557C2×D8—22no—
558C2×D8—22no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8—41no—
563C2×D8—41no—
564C2×D8—41no—
565C2×M16—41no—
566C2×M16—41no—
567C2×M16—41no—
568C22×C8C2411yescharacteristic
569C22×C8C2411yescharacteristic
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C4⋊Q8—22no—
577C4⋊Q8—41no—
578C4⋊Q8—41no—
579C4⋊Q8—41no—
580#127—22no—
581#127—22no—
582#127—22no—
583#127—41no—
584#127—41no—
585#127—41no—
586#127—41no—
587#127—41no—
588#124—44no—
589#124—44no—
590#123—24no—
591#123—44no—
592#123—82no—
593C22⋊Q8—44no—
594C22⋊Q8—82no—
595C22⋊Q8—82no—
596#121—22no—
597#121—22no—
598#121—22no—
599#121—22no—
600#121—22no—
601#121—44no—
602#121—44no—
603#121—41no—
604#121—41no—
605#121—41no—
606#121—41no—
607#121—41no—
608#121—44no—
609#121—44no—
610#121—44no—
611#121—41no—
612#121—41no—
613#121—82no—
614#120—44no—
615#120—44no—
616#120—44no—
617#120—44no—
618#120—82no—
619#120—82no—
620C4×D4—22no—
621C4×D4—22no—
622C4×D4—22no—
623C4×D4—22no—
624C4×D4—41no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—41no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—44no—
637C4×D4—44no—
638C4×D4—44no—
639C4×D4—44no—
640#117—41no—
641#117—41no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—21no—
647C2×C4⋊C4—21no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—21no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—41no—
658C2×C4⋊C4—41no—
659C2×C4⋊C4C2×D411yescharacteristic
660C2×C4⋊C4C2×D411yescharacteristic
661C2×C4⋊C4C2×D411yescharacteristic
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C22⋊C4—21no—
676C2×C22⋊C4—21no—
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—44no—
716C2×C22⋊C4—44no—
717C2×C22⋊C4—82no—
718C2×C22⋊C4C2×D411yescharacteristic
719C2×C22⋊C4C2×D411yescharacteristic
720C2×C22⋊C4C2×D411yescharacteristic
721C2×C22⋊C4C2×D411yescharacteristic
722C2×C22⋊C4C2×D411yescharacteristic
723C2×C22⋊C4C2×D411yescharacteristic
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C42—21no—
727C2×C42—21no—
728C2×C42—21no—
729C2×C42—21no—
730C2×C42—41no—
731C2×C42—41no—
732C2×C42C2×D411yescharacteristic
733C2×C42C2×D411yescharacteristic
734C2×C42C2411yescharacteristic
735C2×C42C2411yescharacteristic
736C2×C42C2411yescharacteristic
737C2×C42C2411yescharacteristic
738C2×C42C2411yescharacteristic
739#107—22no—
740#107—41no—
741#107—41no—
742#107—41no—
743#106—22no—
744#106—22no—
745#106—41no—
746#106—41no—
747#106—41no—
748#106—41no—
749#106—41no—
750#106—41no—
751C4⋊C8—41no—
752C4⋊C8—41no—
753C4⋊C8—41no—
754C4⋊C8—41no—
755C4⋊C8—41no—
756C4⋊C8—41no—
757C4⋊C8—41no—
758#102—22no—
759#102—22no—
760#102—22no—
761#102—22no—
762#102—22no—
763#102—22no—
764#102—22no—
765#102—41no—
766#102—41no—
767#102—41no—
768#102—41no—
769#102—41no—
770#102—41no—
771#102—41no—
772#102—41no—
773#102—41no—
774#102—41no—
775#102—41no—
776#102—41no—
777#102—41no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790C22⋊C8—41no—
791C22⋊C8—41no—
792C22⋊C8—41no—
793C22⋊C8—41no—
794C22⋊C8—41no—
795C22⋊C8—41no—
796C22⋊C8—41no—
797#97—41no—
798#97—41no—
799#97—41no—
800#95—21no—
801#95—21no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95—21no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95C2×D411yescharacteristic
826#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829#95C2×D411yescharacteristic
830#95C2×D411yescharacteristic
831#95C2×D411yescharacteristic
832#95C2×D411yescharacteristic
833#95C2×D411yescharacteristic
834#95C2×D411yescharacteristic
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—42no—
841C24—42no—
842C24—42no—
843C24—42no—
844C24—42no—
845C24—42no—
846C24—42no—
847C24—81no—
848C24—81no—
849C24—81no—
850C24—81no—
851C24—81no—
852C24—81no—
853C24—81no—
854C24C22×D411yescharacteristic
855C24C22×D411yescharacteristic
856#41—816no—
857C2×Q8—42no—
858C2×Q8—42no—
859C2×Q8—42no—
860C2×Q8—81no—
861C2×Q8—81no—
862C2×Q8—81no—
863C2×D4—24no—
864C2×D4—22no—
865C2×D4—21no—
866C2×D4—21no—
867C2×D4—21no—
868C2×D4—21no—
869C2×D4—21no—
870C2×D4—21no—
871C2×D4—21no—
872C2×D4—21no—
873C2×D4—21no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—41no—
893C2×D4—41no—
894C2×D4—42no—
895C2×D4—42no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—42no—
899C2×D4—42no—
900C2×D4—42no—
901C2×D4—42no—
902C2×D4—42no—
903C2×D4—42no—
904C2×D4—42no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—42no—
908C2×D4—42no—
909C2×D4—44no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—81no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—82no—
937C2×D4—82no—
938C2×D4—82no—
939C2×D4—82no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—82no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—816no—
950C2×D4H(5,𝔽2)12yes—
951C2×D4H(5,𝔽2)12yes—
952C2×D42−1+412yes—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—41no—
980C22×C4—41no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—81no—
992C22×C4—81no—
993C22×C4—81no—
994C22×C4—81no—
995C22×C4—81no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4AGL(1,ℤ/8)14yes—
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C2511yescharacteristic
1019D8—44no—
1020D8—44no—
1021D8—82no—
1022D8—82no—
1023M16—82no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C4⋊C4—22no—
1049C4⋊C4—22no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—21no—
1054C4⋊C4—21no—
1055C4⋊C4—21no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—81no—
1080C4⋊C4—81no—
1081C4⋊C4—81no—
1082C4⋊C4—81no—
1083C4⋊C4—81no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4H(5,𝔽2)12yes—
1090C22⋊C4—24no—
1091C22⋊C4—22no—
1092C22⋊C4—22no—
1093C22⋊C4—22no—
1094C22⋊C4—41no—
1095C22⋊C4—41no—
1096C22⋊C4—41no—
1097C22⋊C4—41no—
1098C22⋊C4—41no—
1099C22⋊C4—42no—
1100C22⋊C4—42no—
1101C22⋊C4—42no—
1102C22⋊C4—42no—
1103C22⋊C4—42no—
1104C22⋊C4—42no—
1105C22⋊C4—42no—
1106C22⋊C4—42no—
1107C22⋊C4—42no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—81no—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C42—21no—
1139C42—21no—
1140C42—21no—
1141C42—21no—
1142C42—21no—
1143C42—21no—
1144C42—21no—
1145C42—21no—
1146C42—21no—
1147C42—21no—
1148C42—41no—
1149C42—41no—
1150C42—42no—
1151C42—42no—
1152C42—81no—
1153C42—81no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—22no—
1164C23—21no—
1165C23—22no—
1166C23—21no—
1167C23—21no—
1168C23—22no—
1169C23—21no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—84no—
1203C23—84no—
1204C23—84no—
1205C23—84no—
1206C23—84no—
1207C23—84no—
1208C23—84no—
1209C23—162no—
1210C23—162no—
1211C23—162no—
1212C23—162no—
1213C23—162no—
1214C23—162no—
1215C23—162no—
1216C23C2×AGL(1,ℤ/8)12yes—
1217C23C23×D411yescharacteristic
1218Q8—84no—
1219Q8—162no—
1220D4—22no—
1221D4—22no—
1222D4—22no—
1223D4—22no—
1224D4—22no—
1225D4—22no—
1226D4—44no—
1227D4—48no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—41no—
1239D4—41no—
1240D4—41no—
1241D4—41no—
1242D4—84no—
1243D4—84no—
1244D4—84no—
1245D4—84no—
1246D4—84no—
1247D4—84no—
1248D4—84no—
1249D4—84no—
1250D4—84no—
1251D4—162no—
1252D4—162no—
1253D4—162no—
1254D4—162no—
1255D4—162no—
1256D4—162no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—22no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—44no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—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—84no—
1334C2×C4—84no—
1335C2×C4—82no—
1336C2×C4—84no—
1337C2×C4—162no—
1338C2×C4—162no—
1339C2×C4—162no—
1340C2×C4—162no—
1341C2×C4—162no—
1342C2×C4C2×AGL(1,ℤ/8)12yes—
1343C2×C4C2×AGL(1,ℤ/8)12yes—
1344C2×C4C2×H(5,𝔽2)11yescharacteristic
1345C2×C4C2×H(5,𝔽2)11yescharacteristic
1346C2×C4C2×H(5,𝔽2)11yescharacteristic
1347C2×C4C2×2−1+411yescharacteristic
1348C2×C4#58511yescharacteristic
1349C2×C4#58511yescharacteristic
1350C8—41no—
1351C8—41no—
1352C8—41no—
1353C8—41no—
1354C8—41no—
1355C8—41no—
1356C8—41no—
1357C8—41no—
1358C22—22no—
1359C22—22no—
1360C22—22no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—42no—
1366C22—41no—
1367C22—42no—
1368C22—41no—
1369C22—42no—
1370C22—41no—
1371C22—42no—
1372C22—41no—
1373C22—42no—
1374C22—41no—
1375C22—42no—
1376C22—41no—
1377C22—41no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—168no—
1408C22—168no—
1409C22#348411yescharacteristic
1410C22#348811yescharacteristic
1411C22#348911yescharacteristic
1412C22C22×AGL(1,ℤ/8)11yescharacteristic
1413C22#358511yescharacteristic
1414C22#358511yescharacteristic
1415C22#358511yescharacteristic
1416C4—22no—
1417C4—22no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—42no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—81no—
1430C4—81no—
1431C4—81no—
1432C4—81no—
1433C4—81no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4#353411yescharacteristic
1440C4#353511yescharacteristic
1441C4#353611yescharacteristic
1442C4#356211yescharacteristic
1443C2—42no—
1444C2—81no—
1445C2—82no—
1446C2—82no—
1447C2—82no—
1448C2—161no—
1449C2—161no—
1450C2#4784311yescharacteristic
1451C2#6157111yescharacteristic
1452C2#6165311yescharacteristic
1453C2#6195911yescharacteristic
1454C2#6208811yescharacteristic
1455C2#6211011yescharacteristic
1456C2#6222311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59095C2semidirect
2. #39529C2semidirect
3. #32212C2semidirect
4. #32096C2semidirect
5. #31895C2semidirect
6. #31790C2semidirect
7. #31594C2semidirect
8. #31314C2semidirect
9. #31314C2semidirect
10. #31174C2semidirect
11. #31147C2semidirect
12. #31000C2semidirect
13. #30609C2semidirect
14. #30581C2semidirect
15. #29952C2semidirect
16. #29690C2semidirect
17. #28114C2semidirect
18. #27110C2semidirect
19. #26904C2semidirect
20. #26812C2semidirect
21. #26562C2semidirect
22. #26538C2semidirect
23. #26388C2semidirect
24. #25974C2semidirect
25. #25097C2semidirect
26. #24913C2semidirect
27. #24744C2semidirect
28. #24248C2semidirect
29. #24150C2semidirect
30. #24044C2semidirect
31. #23324C2semidirect
36. C2×#480C22semidirect
37. C2×#476C22semidirect
38. C2×#476C22semidirect
39. C2×#474C22semidirect
40. C2×#469C22semidirect
42. C2×#459C22semidirect
43. C2×#459C22semidirect
47. C2×#442C22semidirect
49. #2857C22semidirect
57. #2570C22semidirect
61. #2508C22semidirect
62. #2495C22semidirect
63. #2495C22semidirect
69. #2452C22semidirect
71. #2439C22semidirect
77. #2422C22semidirect
78. #2420C22semidirect
83. #2363C22semidirect
85. #2349C22semidirect
89. C4×#121C22semidirect
92. #2094C22semidirect
94. #2092C22semidirect
95. #2092C22semidirect
96. #2088C22semidirect
97. #2088C22semidirect
98. #2085C22semidirect
99. #2085C22semidirect
100. #2077C22semidirect
101. #2073C22semidirect
103. #2067C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2058C22semidirect
112. #2058C22semidirect
114. #2054C22semidirect
115. #2054C22semidirect
119. #2041C22semidirect
120. #2041C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
134. #2023C22semidirect
138. #1999C22semidirect
139. #1988C22semidirect
141. #1982C22semidirect
142. #1972C22semidirect
145. #1961C22semidirect
147. #1949C22semidirect
148. #1944C22semidirect
149. #1944C22semidirect
150. #1940C22semidirect
151. #1940C22semidirect
153. #1936C22semidirect
154. #1936C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1924C22semidirect
164. #1919C22semidirect
165. #1917C22semidirect
166. #1917C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1875C22semidirect
177. #1864C22semidirect
178. #1864C22semidirect
179. #1864C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1862C22semidirect
184. #1854C22semidirect
185. #1853C22semidirect
186. #1853C22semidirect
187. #1851C22semidirect
188. #1851C22semidirect
189. #1823C22semidirect
190. #1809C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1797C22semidirect
196. #1797C22semidirect
202. #1776C22semidirect

Maximal subgroups

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

subgroupindex
#590952
#395292
#322122
#320962
#318952
#317902
#315942
#313142
#311742
#311472
#310002
#306092
#305812
#299522
#296902
#281142
#271102
#269042
#268122
#265622
#265382
#263882
#259742
#250972
#249132
#247442
#242482
#241502
#240442
#233242