Finite Group Databasebeta

← #7549079

Subgroups — #7549079

Order 512.

1928 conjugacy classes of subgroups.

The subgroup lattice has 1461 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59013C211yesmaximal, characteristic, complemented
2#36517C211yesmaximal, characteristic, complemented
3#32072C211yesmaximal, characteristic, complemented
4#32002C211yesmaximal, characteristic, complemented
5#31958C211yesmaximal, characteristic, complemented
6#31781C211yesmaximal, characteristic, complemented
7#28788C211yesmaximal, characteristic, complemented
8#27725C211yesmaximal, characteristic, complemented
9#27348C211yesmaximal, characteristic, complemented
10#27178C211yesmaximal, characteristic, complemented
11#26439C211yesmaximal, characteristic, complemented
12#26366C211yesmaximal, characteristic, complemented
13#26224C211yesmaximal, characteristic, complemented
14#26153C211yesmaximal, characteristic, complemented
15#25976C211yesmaximal, characteristic, complemented
16#25553C211yesmaximal, characteristic, complemented
17#25534C211yesmaximal, characteristic, complemented
18#25227C211yesmaximal, characteristic, complemented
19#25116C211yesmaximal, characteristic, complemented
20#24886C211yesmaximal, characteristic, complemented
21#24790C211yesmaximal, characteristic, complemented
22#24558C211yesmaximal, characteristic, complemented
23#24384C211yesmaximal, characteristic, complemented
24#24124C211yesmaximal, characteristic, complemented
25#23037C211yesmaximal, characteristic, complemented
26#22880C211yesmaximal, characteristic, complemented
27#22850C211yesmaximal, characteristic, complemented
28#22710C211yesmaximal, characteristic, complemented
29#22498C211yesmaximal, characteristic, complemented
30#20912C211yesmaximal, characteristic, complemented
31#20846C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×#553C2211yescharacteristic, complemented
34C22×#121C2211yescharacteristic
35C22×#117C2211yescharacteristic
36C2×#482C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic, complemented
38C2×#478C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic
40C2×#469C2211yescharacteristic
41C2×#466C2211yescharacteristic, complemented
42C2×#447C2211yescharacteristic
43C2×C4×D8C2211yescharacteristic, complemented
44C2×#435C2211yescharacteristic
45C2×#435C2211yescharacteristic, complemented
46C2×#428C2211yescharacteristic, complemented
47C2×#428C2211yescharacteristic, complemented
48C2×#418C2211yescharacteristic
49C2×#418C2211yescharacteristic
50C2×#407C2211yescharacteristic
51C2×#407C2211yescharacteristic
52#2854—21no—
53#2847C2211yescharacteristic
54#2703—21no—
55#2691—21no—
56#2543—21no—
57#2539—21no—
58#2535C2211yescharacteristic
59#2534—21no—
60#2504C2211yescharacteristic
61#2501C2211yescharacteristic, complemented
62#2490C2211yescharacteristic
63#2486C2211yescharacteristic, complemented
64#2480—21no—
65#2479—21no—
66#2479—21no—
67#2471—21no—
68#2471—21no—
69#2444—21no—
70#2442C2211yescharacteristic
71#2441C2211yescharacteristic
72#2441C2211yescharacteristic, complemented
73#2420C2211yescharacteristic
74#2416C2211yescharacteristic
75#2414C2211yescharacteristic
76#2414C2211yescharacteristic
77#2414C2211yescharacteristic, complemented
78#2412—21no—
79#2410—21no—
80#2408C2211yescharacteristic
81#2363C2211yescharacteristic
82#2363C2211yescharacteristic, complemented
83#2361C2211yescharacteristic
84#2354C2211yescharacteristic
85#2354C2211yescharacteristic, complemented
86#2352C2211yescharacteristic
87#2345C2211yescharacteristic, complemented
88D4×C22⋊C4—21no—
89D4×C22⋊C4C2211yescharacteristic
90C4×#123—21no—
91C4×#120C2211yescharacteristic
92C2×#380C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2101C2211yescharacteristic, complemented
95#2094C2211yescharacteristic, complemented
96#2094C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2059C2211yescharacteristic, complemented
110#2059C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2025C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#1999C2211yescharacteristic
123#1999C2211yescharacteristic
124#1999C2211yescharacteristic, complemented
125#1992C2211yescharacteristic, complemented
126#1991C2211yescharacteristic, complemented
127#1989C2211yescharacteristic, complemented
128#1972C2211yescharacteristic, complemented
129#1972C2211yescharacteristic, complemented
130#1954C2211yescharacteristic, complemented
131#1949C2211yescharacteristic, complemented
132#1948C2211yescharacteristic, complemented
133#1943C2211yescharacteristic, complemented
134#1941C2211yescharacteristic, complemented
135#1936C2211yescharacteristic, complemented
136#1934C2211yescharacteristic, complemented
137#1926C2211yescharacteristic, complemented
138#1925C2211yescharacteristic, complemented
139#1925C2211yescharacteristic, complemented
140#1925C2211yescharacteristic, complemented
141#1924C2211yescharacteristic, complemented
142#1924C2211yescharacteristic, complemented
143#1918C2211yescharacteristic, complemented
144#1918C2211yescharacteristic, complemented
145#1895C2211yescharacteristic
146#1895C2211yescharacteristic
147#1895C2211yescharacteristic
148#1895C2211yescharacteristic
149#1893C2211yescharacteristic, complemented
150#1879C2211yescharacteristic, complemented
151#1879C2211yescharacteristic, complemented
152#1875C2211yescharacteristic
153#1875C2211yescharacteristic
154#1875C2211yescharacteristic
155#1875C2211yescharacteristic
156#1875C2211yescharacteristic, complemented
157#1875C2211yescharacteristic, complemented
158#1874C2211yescharacteristic
159#1874C2211yescharacteristic
160#1874C2211yescharacteristic
161#1874C2211yescharacteristic
162#1874C2211yescharacteristic
163#1874C2211yescharacteristic, complemented
164#1870C2211yescharacteristic
165#1870C2211yescharacteristic, complemented
166#1869C2211yescharacteristic, complemented
167#1864C2211yescharacteristic, complemented
168#1864C2211yescharacteristic, complemented
169#1862C2211yescharacteristic, complemented
170#1862C2211yescharacteristic, complemented
171#1854C2211yescharacteristic
172#1854C2211yescharacteristic
173#1854C2211yescharacteristic
174#1854C2211yescharacteristic
175#1854C2211yescharacteristic, complemented
176#1854C2211yescharacteristic, complemented
177#1853C2211yescharacteristic
178#1853C2211yescharacteristic, complemented
179#1853C2211yescharacteristic, complemented
180#1853C2211yescharacteristic, complemented
181#1852C2211yescharacteristic, complemented
182#1852C2211yescharacteristic, complemented
183#1851C2211yescharacteristic
184#1851C2211yescharacteristic, complemented
185#1836C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1823C2211yescharacteristic, complemented
188#1809C2211yescharacteristic
189#1809C2211yescharacteristic
190#1807C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1776C2211yescharacteristic, complemented
195#1762C2211yescharacteristic, complemented
196#1753C2211yescharacteristic
197#1753C2211yescharacteristic, complemented
198#1736C2211yescharacteristic
199#1736C2211yescharacteristic
200#1736C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1735C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C22×D8C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×M16C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C23×C8C2311yescharacteristic
213#553—24no—
214#553—42no—
215#553—42no—
216#553—42no—
217C2×#126—21no—
218C2×#126—21no—
219C2×#125C2311yescharacteristic
220C2×#125C2311yescharacteristic
221C2×#123—21no—
222C2×#123—21no—
223C2×#123—21no—
224C2×#123—21no—
225C2×#123—21no—
226C2×#121—21no—
227C2×#121—21no—
228C2×#121—21no—
229C2×#121—21no—
230C2×#121—21no—
231C2×#121—24no—
232C2×#121—42no—
233C2×#121C2311yescharacteristic
234C2×#121C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#120—21no—
244C2×#120—21no—
245C2×#120D411yescharacteristic
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4—21no—
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×#117—21no—
256C2×#117—21no—
257C2×#117—42no—
258C2×#117—42no—
259C2×#117C2311yescharacteristic
260C2×#117C2311yescharacteristic
261C2×#117C2311yescharacteristic
262C2×#117C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C22⋊C4—21no—
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274C22×C42—21no—
275#482—42no—
276#480—42no—
277#478—42no—
278#469—24no—
279#469—42no—
280#466—42no—
281#447—24no—
282C4×D8—42no—
283#435—24no—
284#435—42no—
285#428—42no—
286#428—42no—
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304#418—42no—
305#418—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
326#407—24no—
327#407—42no—
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
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×C4×C8C2311yescharacteristic
342#400—21no—
343#399—21no—
344#399—21no—
345#399—21no—
346#399—21no—
347#398—21no—
348#398—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—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#392—21no—
366#392—21no—
367#392—21no—
368#392—21no—
369#392—21no—
370#390—21no—
371#390—21no—
372#390—21no—
373#390—21no—
374#390—21no—
375#390—21no—
376#390—21no—
377#390—21no—
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#389—21no—
385#389—21no—
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#389C2311yescharacteristic
389#389C2311yescharacteristic
390#389C2311yescharacteristic
391#389C2311yescharacteristic
392#388—21no—
393#388—21no—
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#388—21no—
401#388—21no—
402#388—21no—
403#388—21no—
404#387—21no—
405#387—21no—
406#387—21no—
407#387—21no—
408#387—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#386D411yescharacteristic
425#386D411yescharacteristic
426#386D411yescharacteristic
427#385—21no—
428#385—21no—
429#385D411yescharacteristic
430#385D411yescharacteristic
431#385D411yescharacteristic
432#384C2311yescharacteristic
433#384C2311yescharacteristic
434#382C2311yescharacteristic
435#382C2311yescharacteristic
436#381—21no—
437#381—21no—
438#380—21no—
439#380—21no—
440#380—21no—
441#380—21no—
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#379—21no—
453#379—21no—
454#379D411yescharacteristic
455C4×C4⋊C4—21no—
456C4×C4⋊C4—21no—
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C2×#95—21no—
468#340C2311yescharacteristic
469#340C2311yescharacteristic
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#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25C2×D411yescharacteristic
504C22×D4—21no—
505C22×D4—22no—
506C22×D4—21no—
507C22×D4—21no—
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—22no—
517C22×D4—22no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—44no—
522C22×D4—44no—
523C22×D4—82no—
524C22×D4C2×D411yescharacteristic
525C22×D4C2×D411yescharacteristic
526C22×D4C2×D411yescharacteristic
527C22×D4C2411yescharacteristic
528C22×D4C2411yescharacteristic
529C22×D4C2411yescharacteristic
530C23×C4—21no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—22no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4C2×D411yescharacteristic
545C23×C4C2×D411yescharacteristic
546C23×C4C2×D411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C2×D8—22no—
552C2×D8—22no—
553C2×D8—22no—
554C2×D8—41no—
555C2×D8—41no—
556C2×D8—41no—
557C2×M16—22no—
558C2×M16—22no—
559C2×M16—22no—
560C2×M16—22no—
561C2×M16—22no—
562C2×M16—22no—
563C2×M16—41no—
564C2×M16—41no—
565C2×M16—41no—
566C2×M16—41no—
567C2×M16—41no—
568C2×M16—41no—
569C22×C8—22no—
570C22×C8—41no—
571C22×C8—41no—
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580#126—44no—
581#126—44no—
582#125—22no—
583#125—22no—
584#125—41no—
585#125—41no—
586#123—44no—
587#123—44no—
588#123—44no—
589#123—82no—
590#123—82no—
591#121—22no—
592#121—22no—
593#121—22no—
594#121—22no—
595#121—22no—
596#121—22no—
597#121—22no—
598#121—22no—
599#121—22no—
600#121—22no—
601#121—22no—
602#121—44no—
603#121—41no—
604#121—41no—
605#121—41no—
606#121—41no—
607#121—41no—
608#121—41no—
609#121—44no—
610#121—44no—
611#121—44no—
612#121—41no—
613#121—41no—
614#121—82no—
615#121#4114yes—
616#120—42no—
617#120—82no—
618#120—82no—
619C4×D4—22no—
620C4×D4—22no—
621C4×D4—22no—
622C4×D4—22no—
623C4×D4—22no—
624C4×D4—22no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—41no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—44no—
632C4×D4—44no—
633C4×D4—82no—
634#117—22no—
635#117—22no—
636#117—22no—
637#117—22no—
638#117—22no—
639#117—22no—
640#117—41no—
641#117—41no—
642#117—41no—
643#117—41no—
644#117—41no—
645#117—41no—
646#117—44no—
647#117—44no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—22no—
650C2×C4⋊C4—22no—
651C2×C4⋊C4—22no—
652C2×C4⋊C4—22no—
653C2×C4⋊C4—22no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
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—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—44no—
735C2×C22⋊C4—44no—
736C2×C22⋊C4—82no—
737C2×C22⋊C4—82no—
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—44no—
760C2×C42C2411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763#107—22no—
764#107—22no—
765#107—22no—
766#107—22no—
767#107—41no—
768#107—41no—
769#106—22no—
770#106—41no—
771#106—41no—
772#106—41no—
773#106—41no—
774#106—41no—
775#106—41no—
776#106—41no—
777C4⋊C8—22no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800C22⋊C8—22no—
801C22⋊C8—22no—
802C22⋊C8—22no—
803C22⋊C8—22no—
804C22⋊C8—22no—
805C22⋊C8—22no—
806C22⋊C8—41no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809C22⋊C8—41no—
810C22⋊C8#4114yes—
811#97—22no—
812#97—41no—
813C4×C8—41no—
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#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#95C2×D411yescharacteristic
838#95C2×D411yescharacteristic
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843C24—21no—
844C24—22no—
845C24—22no—
846C24—22no—
847C24—21no—
848C24—21no—
849C24—41no—
850C24—41no—
851C24—41no—
852C24—41no—
853C24—42no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24—81no—
858C24—81no—
859C24—81no—
860C24C22×D411yescharacteristic
861C24C22×D411yescharacteristic
862C24C22×D411yescharacteristic
863C24C22×D411yescharacteristic
864C2×D4—24no—
865C2×D4—22no—
866C2×D4—22no—
867C2×D4—22no—
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—44no—
886C2×D4—44no—
887C2×D4—41no—
888C2×D4—41no—
889C2×D4—41no—
890C2×D4—41no—
891C2×D4—41no—
892C2×D4—41no—
893C2×D4—42no—
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—42no—
910C2×D4—42no—
911C2×D4—82no—
912C2×D4—82no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—816no—
928C2×D4C2×#4112yes—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—24no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
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—41no—
970C22×C4—41no—
971C22×C4—41no—
972C22×C4—44no—
973C22×C4—44no—
974C22×C4—44no—
975C22×C4—44no—
976C22×C4—42no—
977C22×C4—42no—
978C22×C4—42no—
979C22×C4—42no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—81no—
986C22×C4—81no—
987C22×C4—81no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
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×C4C22×D411yescharacteristic
1000C22×C4C22×D411yescharacteristic
1001C22×C4C22×D411yescharacteristic
1002C22×C4C22×D411yescharacteristic
1003C22×C4C22×D411yescharacteristic
1004C22×C4C22×D411yescharacteristic
1005C22×C4C22×D411yescharacteristic
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C2×#4112yes—
1010C22×C4C2×#4112yes—
1011C22×C4H(5,𝔽2)12yes—
1012C22×C42−1+412yes—
1013C22×C4C2511yescharacteristic
1014D8—44no—
1015D8—82no—
1016M16—44no—
1017M16—44no—
1018M16—82no—
1019M16—82no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
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—82no—
1043C2×C8C2×#4112yes—
1044C2×C8C2×#4112yes—
1045C4⋊C4—24no—
1046C4⋊C4—22no—
1047C4⋊C4—22no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
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—42no—
1073C4⋊C4—42no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
1080C4⋊C4—42no—
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⋊C4—81no—
1090C4⋊C4C2×#4112yes—
1091C4⋊C4H(5,𝔽2)12yes—
1092C4⋊C4H(5,𝔽2)12yes—
1093C22⋊C4—22no—
1094C22⋊C4—22no—
1095C22⋊C4—22no—
1096C22⋊C4—24no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
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—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
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—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C42—21no—
1147C42—21no—
1148C42—21no—
1149C42—21no—
1150C42—21no—
1151C42—21no—
1152C42—42no—
1153C42—42no—
1154C42—42no—
1155C42—42no—
1156C42—42no—
1157C42—42no—
1158C42—81no—
1159C42—81no—
1160C42—81no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—22no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—44no—
1188C23—44no—
1189C23—44no—
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—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—82no—
1211C23—82no—
1212C23—82no—
1213C23—84no—
1214C23—84no—
1215C23—82no—
1216C23—84no—
1217C23—84no—
1218C23—162no—
1219C23—162no—
1220C23—162no—
1221C23#54612yes—
1222C23#54712yes—
1223C23#57512yes—
1224C23C23×D411yescharacteristic
1225D4—22no—
1226D4—22no—
1227D4—48no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—84no—
1239D4—82no—
1240D4—82no—
1241D4—82no—
1242D4—84no—
1243D4—84no—
1244D4—84no—
1245D4—84no—
1246D4—162no—
1247D4—162no—
1248D4—162no—
1249D4—162no—
1250D4—162no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
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—22no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—22no—
1284C2×C4—21no—
1285C2×C4—22no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—44no—
1291C2×C4—44no—
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—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—84no—
1338C2×C4—84no—
1339C2×C4—84no—
1340C2×C4—162no—
1341C2×C4—162no—
1342C2×C4—162no—
1343C2×C4—162no—
1344C2×C4—162no—
1345C2×C4#54612yes—
1346C2×C4#54712yes—
1347C2×C4C22×#4111yescharacteristic
1348C2×C4C22×#4111yescharacteristic
1349C2×C4C2×H(5,𝔽2)11yescharacteristic
1350C2×C4C2×H(5,𝔽2)11yescharacteristic
1351C2×C4C2×H(5,𝔽2)11yescharacteristic
1352C2×C4C2×2−1+411yescharacteristic
1353C8—22no—
1354C8—22no—
1355C8—41no—
1356C8—41no—
1357C8—41no—
1358C8—41no—
1359C8—41no—
1360C8—41no—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—42no—
1388C22—42no—
1389C22—41no—
1390C22—42no—
1391C22—41no—
1392C22—88no—
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—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—168no—
1412C22C2×#54611yescharacteristic
1413C22C2×#54711yescharacteristic
1414C22#348411yescharacteristic
1415C22C2×#57511yescharacteristic
1416C22#358511yescharacteristic
1417C22#358511yescharacteristic
1418C22#358511yescharacteristic
1419C4—22no—
1420C4—22no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—42no—
1426C4—42no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—42no—
1431C4—41no—
1432C4—81no—
1433C4—81no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4#348111yescharacteristic
1443C4#351911yescharacteristic
1444C4#352011yescharacteristic
1445C4#353611yescharacteristic
1446C2—42no—
1447C2—42no—
1448C2—42no—
1449C2—81no—
1450C2—82no—
1451C2—161no—
1452C2—161no—
1453C2#5909011yescharacteristic
1454C2#6115611yescharacteristic
1455C2#6117911yescharacteristic
1456C2#6125511yescharacteristic
1457C2#6126711yescharacteristic
1458C2#6157711yescharacteristic
1459C2#6164811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59013C2semidirect
2. #36517C2semidirect
3. #32072C2semidirect
4. #32002C2semidirect
5. #31958C2semidirect
6. #31781C2semidirect
7. #28788C2semidirect
8. #27725C2semidirect
9. #27348C2semidirect
10. #27178C2semidirect
11. #26439C2semidirect
12. #26366C2semidirect
13. #26224C2semidirect
14. #26153C2semidirect
15. #25976C2semidirect
16. #25553C2semidirect
17. #25534C2semidirect
18. #25227C2semidirect
19. #25116C2semidirect
20. #24886C2semidirect
21. #24790C2semidirect
22. #24558C2semidirect
23. #24384C2semidirect
24. #24124C2semidirect
25. #23037C2semidirect
26. #22880C2semidirect
27. #22850C2semidirect
28. #22710C2semidirect
29. #22498C2semidirect
30. #20912C2semidirect
31. #20846C2semidirect
33. C2×#553C22semidirect
36. C2×#482C22semidirect
37. C2×#480C22semidirect
38. C2×#478C22semidirect
41. C2×#466C22semidirect
43. C2×C4×D8C22semidirect
45. C2×#435C22semidirect
46. C2×#428C22semidirect
47. C2×#428C22semidirect
61. #2501C22semidirect
63. #2486C22semidirect
72. #2441C22semidirect
77. #2414C22semidirect
82. #2363C22semidirect
85. #2354C22semidirect
87. #2345C22semidirect
93. #2101C22semidirect
94. #2101C22semidirect
95. #2094C22semidirect
96. #2094C22semidirect
97. #2088C22semidirect
98. #2085C22semidirect
99. #2084C22semidirect
100. #2077C22semidirect
101. #2076C22semidirect
102. #2076C22semidirect
103. #2073C22semidirect
104. #2071C22semidirect
105. #2067C22semidirect
106. #2067C22semidirect
107. #2067C22semidirect
108. #2065C22semidirect
109. #2059C22semidirect
110. #2059C22semidirect
111. #2054C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2025C22semidirect
121. #2025C22semidirect
124. #1999C22semidirect
125. #1992C22semidirect
126. #1991C22semidirect
127. #1989C22semidirect
128. #1972C22semidirect
129. #1972C22semidirect
130. #1954C22semidirect
131. #1949C22semidirect
132. #1948C22semidirect
133. #1943C22semidirect
134. #1941C22semidirect
135. #1936C22semidirect
136. #1934C22semidirect
137. #1926C22semidirect
138. #1925C22semidirect
139. #1925C22semidirect
140. #1925C22semidirect
141. #1924C22semidirect
142. #1924C22semidirect
143. #1918C22semidirect
144. #1918C22semidirect
149. #1893C22semidirect
150. #1879C22semidirect
151. #1879C22semidirect
156. #1875C22semidirect
157. #1875C22semidirect
163. #1874C22semidirect
165. #1870C22semidirect
166. #1869C22semidirect
167. #1864C22semidirect
168. #1864C22semidirect
169. #1862C22semidirect
170. #1862C22semidirect
175. #1854C22semidirect
176. #1854C22semidirect
178. #1853C22semidirect
179. #1853C22semidirect
180. #1853C22semidirect
181. #1852C22semidirect
182. #1852C22semidirect
184. #1851C22semidirect
185. #1836C22semidirect
186. #1825C22semidirect
187. #1823C22semidirect
190. #1807C22semidirect
191. #1804C22semidirect
192. #1802C22semidirect
194. #1776C22semidirect
195. #1762C22semidirect
197. #1753C22semidirect
200. #1736C22semidirect
201. #1736C22semidirect
202. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#590132
#365172
#320722
#320022
#319582
#317812
#287882
#277252
#273482
#271782
#264392
#263662
#262242
#261532
#259762
#255532
#255342
#252272
#251162
#248862
#247902
#245582
#243842
#241242
#230372
#228802
#228502
#227102
#224982
#209122
#208462