Finite Group Databasebeta

← #6472119

Subgroups — #6472119

Order 512.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1495 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37346C211yesmaximal, characteristic, complemented
2#34290C211yesmaximal, characteristic, complemented
3#33088C211yesmaximal, characteristic, complemented
4#33036C211yesmaximal, characteristic, complemented
5#33009C211yesmaximal, characteristic, complemented
6#32902C211yesmaximal, characteristic, complemented
7#30137C211yesmaximal, characteristic, complemented
8#30105C211yesmaximal, characteristic, complemented
9#30047C211yesmaximal, characteristic, complemented
10#30017C211yesmaximal, characteristic, complemented
11#27565C211yesmaximal, characteristic, complemented
12#27222C211yesmaximal, characteristic, complemented
13#27081C211yesmaximal, characteristic, complemented
14#26737C211yesmaximal, characteristic, complemented
15#26617C211yesmaximal, characteristic, complemented
16#26584C211yesmaximal, characteristic, complemented
17#26427C211yesmaximal, characteristic, complemented
18#26215C211yesmaximal, characteristic, complemented
19#26178C211yesmaximal, characteristic, complemented
20#25950C211yesmaximal, characteristic, complemented
21#25172C211yesmaximal, characteristic, complemented
22#25081C211yesmaximal, characteristic, complemented
23#24864C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24366C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#22196C211yesmaximal, characteristic, complemented
28#22055C211yesmaximal, characteristic, complemented
29#22004C211yesmaximal, characteristic, complemented
30#21458C211yesmaximal, characteristic, complemented
31#20929C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#518C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C2×#484C2211yescharacteristic, complemented
37C2×#474C2211yescharacteristic
38C2×#466C2211yescharacteristic
39C2×#463C2211yescharacteristic
40C2×#459C2211yescharacteristic
41C2×#459C2211yescharacteristic, complemented
42C2×#449C2211yescharacteristic
43C2×#450C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#442C2211yescharacteristic
48C2×C4×D8C2211yescharacteristic, complemented
49C2×#416C2211yescharacteristic, complemented
50C22×#102C2211yescharacteristic
51#2856C2211yescharacteristic, complemented
52#2855C2211yescharacteristic, complemented
53#2797—21no—
54#2786—21no—
55#2784—21no—
56#2708—21no—
57#2696—21no—
58#2688—21no—
59#2686—21no—
60#2676—21no—
61#2644C2211yescharacteristic, complemented
62#2640C2211yescharacteristic, complemented
63#2511C2211yescharacteristic, complemented
64#2491C2211yescharacteristic, complemented
65#2445C2211yescharacteristic, complemented
66#2440C2211yescharacteristic, complemented
67#2431C2211yescharacteristic, complemented
68#2427C2211yescharacteristic, complemented
69#2416C2211yescharacteristic
70#2407C2211yescharacteristic
71#2366C2211yescharacteristic
72#2364—21no—
73#2363C2211yescharacteristic
74#2361C2211yescharacteristic
75#2358—21no—
76#2358—21no—
77#2352C2211yescharacteristic
78#2349C2211yescharacteristic
79D4×C22⋊C4—21no—
80D4×C22⋊C4C2211yescharacteristic
81D4×C22⋊C4C2211yescharacteristic
82#2328C2211yescharacteristic
83#2325—21no—
84#2324C2211yescharacteristic
85#2324C2211yescharacteristic, complemented
86#2321—21no—
87#2311C2211yescharacteristic, complemented
88C4×#121C2211yescharacteristic
89C4×#120—21no—
90#2290C2211yescharacteristic
91C2×#386—21no—
92#2275C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2093C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2075C2211yescharacteristic, complemented
99#2074C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2068C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2041C2211yescharacteristic
109#2041C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2033C2211yescharacteristic
112#2033C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2023C2211yescharacteristic, complemented
115#2023C2211yescharacteristic, complemented
116#2014C2211yescharacteristic
117#2012C2211yescharacteristic, complemented
118#2012C2211yescharacteristic, complemented
119#2011C2211yescharacteristic
120#2011C2211yescharacteristic
121#2011C2211yescharacteristic, complemented
122#2000C2211yescharacteristic
123#1999C2211yescharacteristic
124#1999C2211yescharacteristic
125#1987C2211yescharacteristic, complemented
126#1983C2211yescharacteristic, complemented
127#1973C2211yescharacteristic, complemented
128#1970C2211yescharacteristic, complemented
129#1936C2211yescharacteristic, complemented
130#1933C2211yescharacteristic, complemented
131#1928C2211yescharacteristic, complemented
132#1928C2211yescharacteristic, complemented
133#1925C2211yescharacteristic, complemented
134#1925C2211yescharacteristic, complemented
135#1925C2211yescharacteristic, complemented
136#1925C2211yescharacteristic, complemented
137#1925C2211yescharacteristic, complemented
138#1925C2211yescharacteristic, complemented
139#1924C2211yescharacteristic, complemented
140#1923C2211yescharacteristic, complemented
141#1921C2211yescharacteristic, complemented
142#1921C2211yescharacteristic, complemented
143#1921C2211yescharacteristic, complemented
144#1921C2211yescharacteristic, complemented
145#1917C2211yescharacteristic, complemented
146#1916C2211yescharacteristic, complemented
147#1895C2211yescharacteristic
148#1895C2211yescharacteristic, complemented
149#1879C2211yescharacteristic
150#1879C2211yescharacteristic
151#1879C2211yescharacteristic
152#1879C2211yescharacteristic
153#1879C2211yescharacteristic
154#1879C2211yescharacteristic
155#1879C2211yescharacteristic, complemented
156#1879C2211yescharacteristic, complemented
157#1879C2211yescharacteristic, complemented
158#1879C2211yescharacteristic, complemented
159#1879C2211yescharacteristic, complemented
160#1879C2211yescharacteristic, complemented
161#1877C2211yescharacteristic
162#1877C2211yescharacteristic
163#1877C2211yescharacteristic
164#1877C2211yescharacteristic
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1874C2211yescharacteristic
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1870C2211yescharacteristic
174#1869C2211yescharacteristic
175#1864C2211yescharacteristic, complemented
176#1862C2211yescharacteristic
177#1862C2211yescharacteristic
178#1862C2211yescharacteristic
179#1862C2211yescharacteristic
180#1862C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1840C2211yescharacteristic, complemented
188#1832C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1808C2211yescharacteristic, complemented
192#1802C2211yescharacteristic
193#1802C2211yescharacteristic, complemented
194#1797C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1762C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic
200#1750C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1729C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4—21no—
208C2×AGL(1,ℤ/8)—24no—
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C23×C8C2311yescharacteristic
222D42—24no—
223D42—24no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#124—21no—
228C2×#124C2311yescharacteristic
229C2×#123—21no—
230C2×C22⋊Q8—21no—
231C2×C22⋊Q8C2311yescharacteristic
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#120—21no—
242C2×#120—21no—
243#518—42no—
244#518—42no—
245C2×C4×D4—21no—
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4—21no—
249C2×C4×D4—21no—
250C2×C4×D4—21no—
251C2×C4×D4—21no—
252C2×C4×D4—42no—
253C2×C4×D4—42no—
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C2×#117C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274C22×C42C2311yescharacteristic
275#484—42no—
276#474—42no—
277#466—24no—
278#463—42no—
279#459—42no—
280#459—42no—
281#450—42no—
282#449—24no—
283#447—24no—
284#447—42no—
285#447—42no—
286#442—42no—
287C4×D8—42no—
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299#416—42no—
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#102—42no—
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×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×C4×C8C2311yescharacteristic
339#400—21no—
340#400—21no—
341#398—21no—
342#397—21no—
343#397—21no—
344#397—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#396—21no—
349#396—21no—
350#395—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#393—21no—
358#393—21no—
359#393—21no—
360#392—21no—
361#392—21no—
362#392—21no—
363#391C2311yescharacteristic
364#391C2311yescharacteristic
365#391C2311yescharacteristic
366#391C2311yescharacteristic
367#390—21no—
368#390—21no—
369#390—21no—
370#390—21no—
371#390—21no—
372#390—21no—
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#389C2311yescharacteristic
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#389C2311yescharacteristic
389#388—21no—
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394#388—21no—
395#388—21no—
396#388D411yescharacteristic
397#388D411yescharacteristic
398#387—21no—
399#387—21no—
400#387—21no—
401#387—21no—
402#387—21no—
403#387D411yescharacteristic
404#387D411yescharacteristic
405#386—21no—
406#386—21no—
407#386—21no—
408#386—21no—
409#386—21no—
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
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#386D411yescharacteristic
430#386D411yescharacteristic
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385D411yescharacteristic
440#385D411yescharacteristic
441#384C2311yescharacteristic
442#382C2311yescharacteristic
443#381—21no—
444#380—21no—
445#380—21no—
446#380—21no—
447#380—21no—
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#379—21no—
453#379—21no—
454C4×C4⋊C4C2311yescharacteristic
455C4×C4⋊C4C2311yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C22⋊C4—21no—
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467#376C2311yescharacteristic
468C2×#95—21no—
469C2×#95—21no—
470#340C2311yescharacteristic
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#340C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
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—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8C2411yescharacteristic
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—21no—
515C22×D4—28no—
516C22×D4—21no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—22no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—82no—
537C22×D4—82no—
538C22×D4C2×D411yescharacteristic
539C22×D4#4114yes—
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—44no—
559C23×C4—82no—
560C23×C4—82no—
561C23×C4C2×D411yescharacteristic
562C23×C4C2×D411yescharacteristic
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565AGL(1,ℤ/8)—416no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
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—22no—
583C2×D8—22no—
584C2×D8—22no—
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—22no—
594C2×M16—41no—
595C2×M16—41no—
596C22×C8—22no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C4⋊Q8—41no—
608C4⋊Q8—41no—
609#127—22no—
610#127—22no—
611#127—41no—
612#127—41no—
613#124—41no—
614#124—41no—
615#124—82no—
616#123—82no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—82no—
620#121—28no—
621#121—22no—
622#121—22no—
623#121—22no—
624#121—22no—
625#121—22no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—82no—
631#121—82no—
632#121—82no—
633#121#4114yes—
634#120—28no—
635#120—28no—
636C4×D4—22no—
637C4×D4—22no—
638C4×D4—22no—
639C4×D4—22no—
640C4×D4—22no—
641C4×D4—22no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—44no—
659C4×D4—44no—
660C4×D4—44no—
661C4×D4—44no—
662C4×D4—82no—
663C4×D4—82no—
664C4×D4—82no—
665#117—22no—
666#117—41no—
667#117—41no—
668#117—41no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
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—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—44no—
744C2×C22⋊C4—44no—
745C2×C22⋊C4—44no—
746C2×C22⋊C4—82no—
747C2×C22⋊C4—82no—
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—41no—
762C2×C42—41no—
763C2×C42C2×D411yescharacteristic
764C2×C42C2×D411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770#107—22no—
771#107—22no—
772#107—41no—
773#107—41no—
774#107—41no—
775#107—41no—
776#106—41no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781#103—22no—
782#103—22no—
783#103—41no—
784#103—41no—
785#103—41no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—41no—
798#102—41no—
799#102—41no—
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—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817#97—41no—
818C4×C8—41no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
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#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853C24—21no—
854C24—24no—
855C24—21no—
856C24—21no—
857C24—24no—
858C24—21no—
859C24—21no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874#41—44no—
875#41—44no—
876#41—82no—
877#41—82no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—81no—
885C2×Q8—81no—
886C2×Q8—81no—
887C2×D4—28no—
888C2×D4—24no—
889C2×D4—24no—
890C2×D4—22no—
891C2×D4—22no—
892C2×D4—24no—
893C2×D4—24no—
894C2×D4—24no—
895C2×D4—24no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
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—44no—
922C2×D4—44no—
923C2×D4—44no—
924C2×D4—41no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—44no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—44no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
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—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—816no—
960C2×D4C2×#4112yes—
961C2×D4C2×#4112yes—
962C2×D4C2×#4112yes—
963C2×D4H(5,𝔽2)12yes—
964C2×D4H(5,𝔽2)12yes—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—24no—
972C22×C4—24no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—41no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
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×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—816no—
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C2×#4112yes—
1045C22×C4C2×#4112yes—
1046C22×C4C2511yescharacteristic
1047SD16—44no—
1048SD16—44no—
1049SD16—82no—
1050D8—44no—
1051D8—44no—
1052D8—44no—
1053D8—44no—
1054D8—82no—
1055D8—82no—
1056M16—44no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—82no—
1082C4⋊C4—22no—
1083C4⋊C4—22no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4C2×#4112yes—
1118C4⋊C4H(5,𝔽2)12yes—
1119C22⋊C4—24no—
1120C22⋊C4—24no—
1121C22⋊C4—24no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—24no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
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—
1169C22⋊C4—81no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—41no—
1181C42—41no—
1182C42—42no—
1183C42—81no—
1184C42—81no—
1185C42—81no—
1186C42—81no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—22no—
1193C23—22no—
1194C23—21no—
1195C23—21no—
1196C23—22no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—22no—
1203C23—22no—
1204C23—48no—
1205C23—48no—
1206C23—48no—
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—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—84no—
1238C23—84no—
1239C23—84no—
1240C23—84no—
1241C23—84no—
1242C23—84no—
1243C23—84no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23#52512yes—
1249C23#57612yes—
1250C23C23×D411yescharacteristic
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—162no—
1256D4—22no—
1257D4—22no—
1258D4—22no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—22no—
1263D4—48no—
1264D4—44no—
1265D4—48no—
1266D4—48no—
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—162no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
1287D4—162no—
1288D4#53814yes—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
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—22no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—22no—
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—21no—
1328C2×C4—21no—
1329C2×C4—44no—
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—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—82no—
1369C2×C4—84no—
1370C2×C4—84no—
1371C2×C4—84no—
1372C2×C4—84no—
1373C2×C4—162no—
1374C2×C4—162no—
1375C2×C4—162no—
1376C2×C4—162no—
1377C2×C4—162no—
1378C2×C4—162no—
1379C2×C4#52512yes—
1380C2×C4#57612yes—
1381C2×C4C22×#4111yescharacteristic
1382C2×C4C22×#4111yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4#58511yescharacteristic
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—24no—
1400C22—22no—
1401C22—22no—
1402C22—41no—
1403C22—42no—
1404C22—41no—
1405C22—41no—
1406C22—42no—
1407C22—42no—
1408C22—41no—
1409C22—42no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—42no—
1414C22—42no—
1415C22—41no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—816no—
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—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—168no—
1446C22C2×#52511yescharacteristic
1447C22#348411yescharacteristic
1448C22#348811yescharacteristic
1449C22C2×#57611yescharacteristic
1450C22C2×#57611yescharacteristic
1451C22#358511yescharacteristic
1452C22#358611yescharacteristic
1453C4—22no—
1454C4—22no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—42no—
1459C4—41no—
1460C4—41no—
1461C4—42no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4C2×#53811yescharacteristic
1477C4#345911yescharacteristic
1478C4#351311yescharacteristic
1479C4#351911yescharacteristic
1480C2—42no—
1481C2—42no—
1482C2—44no—
1483C2—82no—
1484C2—82no—
1485C2—161no—
1486C2—161no—
1487C2#3499011yescharacteristic
1488C2#6057811yescharacteristic
1489C2#6059611yescharacteristic
1490C2#6160911yescharacteristic
1491C2#6162411yescharacteristic
1492C2#6205111yescharacteristic
1493C2#6208411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #37346C2semidirect
2. #34290C2semidirect
3. #33088C2semidirect
4. #33036C2semidirect
5. #33009C2semidirect
6. #32902C2semidirect
7. #30137C2semidirect
8. #30105C2semidirect
9. #30047C2semidirect
10. #30017C2semidirect
11. #27565C2semidirect
12. #27222C2semidirect
13. #27081C2semidirect
14. #26737C2semidirect
15. #26617C2semidirect
16. #26584C2semidirect
17. #26427C2semidirect
18. #26215C2semidirect
19. #26178C2semidirect
20. #25950C2semidirect
21. #25172C2semidirect
22. #25081C2semidirect
23. #24864C2semidirect
24. #24424C2semidirect
25. #24366C2semidirect
26. #23860C2semidirect
27. #22196C2semidirect
28. #22055C2semidirect
29. #22004C2semidirect
30. #21458C2semidirect
31. #20929C2semidirect
36. C2×#484C22semidirect
41. C2×#459C22semidirect
48. C2×C4×D8C22semidirect
49. C2×#416C22semidirect
51. #2856C22semidirect
52. #2855C22semidirect
61. #2644C22semidirect
62. #2640C22semidirect
63. #2511C22semidirect
64. #2491C22semidirect
65. #2445C22semidirect
66. #2440C22semidirect
67. #2431C22semidirect
68. #2427C22semidirect
85. #2324C22semidirect
87. #2311C22semidirect
93. #2101C22semidirect
94. #2099C22semidirect
95. #2093C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2075C22semidirect
99. #2074C22semidirect
100. #2073C22semidirect
101. #2068C22semidirect
102. #2067C22semidirect
103. #2067C22semidirect
104. #2065C22semidirect
105. #2055C22semidirect
106. #2054C22semidirect
107. #2054C22semidirect
109. #2041C22semidirect
110. #2035C22semidirect
112. #2033C22semidirect
113. #2033C22semidirect
114. #2023C22semidirect
115. #2023C22semidirect
117. #2012C22semidirect
118. #2012C22semidirect
121. #2011C22semidirect
125. #1987C22semidirect
126. #1983C22semidirect
127. #1973C22semidirect
128. #1970C22semidirect
129. #1936C22semidirect
130. #1933C22semidirect
131. #1928C22semidirect
132. #1928C22semidirect
133. #1925C22semidirect
134. #1925C22semidirect
135. #1925C22semidirect
136. #1925C22semidirect
137. #1925C22semidirect
138. #1925C22semidirect
139. #1924C22semidirect
140. #1923C22semidirect
141. #1921C22semidirect
142. #1921C22semidirect
143. #1921C22semidirect
144. #1921C22semidirect
145. #1917C22semidirect
146. #1916C22semidirect
148. #1895C22semidirect
155. #1879C22semidirect
156. #1879C22semidirect
157. #1879C22semidirect
158. #1879C22semidirect
159. #1879C22semidirect
160. #1879C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1875C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
175. #1864C22semidirect
180. #1862C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1852C22semidirect
185. #1851C22semidirect
186. #1850C22semidirect
187. #1840C22semidirect
188. #1832C22semidirect
189. #1824C22semidirect
190. #1817C22semidirect
191. #1808C22semidirect
193. #1802C22semidirect
194. #1797C22semidirect
195. #1788C22semidirect
198. #1762C22semidirect
200. #1750C22semidirect
201. #1736C22semidirect
202. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#373462
#342902
#330882
#330362
#330092
#329022
#301372
#301052
#300472
#300172
#275652
#272222
#270812
#267372
#266172
#265842
#264272
#262152
#261782
#259502
#251722
#250812
#248642
#244242
#243662
#238602
#221962
#220552
#220042
#214582
#209292