Finite Group Databasebeta

← #7326101

Subgroups — #7326101

Order 512.

1839 conjugacy classes of subgroups.

The subgroup lattice has 1463 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59015C211yesmaximal, characteristic, complemented
2#45508C211yesmaximal, characteristic, complemented
3#32206C211yesmaximal, characteristic, complemented
4#31960C211yesmaximal, characteristic, complemented
5#31958C211yesmaximal, characteristic, complemented
6#31790C211yesmaximal, characteristic, complemented
7#31706C211yesmaximal, characteristic, complemented
8#31396C211yesmaximal, characteristic, complemented
9#31036C211yesmaximal, characteristic, complemented
10#30725C211yesmaximal, characteristic, complemented
11#30653C211yesmaximal, characteristic, complemented
12#30603C211yesmaximal, characteristic, complemented
13#30568C211yesmaximal, characteristic, complemented
14#30424C211yesmaximal, characteristic, complemented
15#29893C211yesmaximal, characteristic, complemented
16#29592C211yesmaximal, characteristic, complemented
17#28933C211yesmaximal, characteristic, complemented
18#28849C211yesmaximal, characteristic, complemented
19#28152C211yesmaximal, characteristic, complemented
20#27536C211yesmaximal, characteristic, complemented
21#26674C211yesmaximal, characteristic, complemented
22#26562C211yesmaximal, characteristic, complemented
23#26142C211yesmaximal, characteristic, complemented
24#25577C211yesmaximal, characteristic, complemented
25#25172C211yesmaximal, characteristic, complemented
26#24979C211yesmaximal, characteristic, complemented
27#24789C211yesmaximal, characteristic, complemented
28#24550C211yesmaximal, characteristic, complemented
29#24379C211yesmaximal, characteristic, complemented
30#24100C211yesmaximal, characteristic, complemented
31#22034C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#546—21no—
34C22×#121C2211yescharacteristic
35C2×#489C2211yescharacteristic, complemented
36C2×#482C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic
38C2×#480C2211yescharacteristic, complemented
39C2×#468C2211yescharacteristic, complemented
40C2×#465C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#463C2211yescharacteristic, complemented
43C2×#450C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#442C2211yescharacteristic, complemented
46C2×#435C2211yescharacteristic, complemented
47C2×#428C2211yescharacteristic, complemented
48C22×C22⋊C8C2211yescharacteristic
49#2848C2211yescharacteristic
50#2847C2211yescharacteristic
51#2812—21no—
52#2797—21no—
53#2796—21no—
54#2778—21no—
55#2757—21no—
56#2749—21no—
57#2746—21no—
58#2672—21no—
59#2671—21no—
60#2540C2211yescharacteristic, complemented
61#2537C2211yescharacteristic
62#2536C2211yescharacteristic
63#2535C2211yescharacteristic, complemented
64#2501C2211yescharacteristic
65#2495C2211yescharacteristic, complemented
66#2494C2211yescharacteristic
67#2491C2211yescharacteristic
68#2485C2211yescharacteristic, complemented
69#2440C2211yescharacteristic
70#2437—21no—
71#2430—21no—
72#2427C2211yescharacteristic
73#2426C2211yescharacteristic, complemented
74#2425—21no—
75#2422C2211yescharacteristic
76#2421C2211yescharacteristic, complemented
77#2420C2211yescharacteristic, complemented
78#2418—21no—
79#2416C2211yescharacteristic
80#2416C2211yescharacteristic
81#2415C2211yescharacteristic, complemented
82#2414C2211yescharacteristic
83#2408C2211yescharacteristic
84#2405—21no—
85#2375—21no—
86#2361C2211yescharacteristic
87D4×C4⋊C4C2211yescharacteristic
88D4×C22⋊C4C2211yescharacteristic
89C4×#120C2211yescharacteristic
90C2×#380C2211yescharacteristic
91#2101C2211yescharacteristic, complemented
92#2095C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2088C2211yescharacteristic, complemented
96#2084C2211yescharacteristic, complemented
97#2083C2211yescharacteristic, complemented
98#2077C2211yescharacteristic
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2075C2211yescharacteristic
104#2075C2211yescharacteristic
105#2073C2211yescharacteristic, complemented
106#2073C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2058C2211yescharacteristic, complemented
112#2057C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2036C2211yescharacteristic, complemented
116#2035C2211yescharacteristic
117#2035C2211yescharacteristic
118#2035C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic, complemented
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic
129#2012C2211yescharacteristic, complemented
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic, complemented
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1987C2211yescharacteristic, complemented
140#1973C2211yescharacteristic, complemented
141#1972C2211yescharacteristic, complemented
142#1955C2211yescharacteristic
143#1955C2211yescharacteristic, complemented
144#1949C2211yescharacteristic, complemented
145#1944C2211yescharacteristic, complemented
146#1944C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1936C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1925C2211yescharacteristic, complemented
151#1924C2211yescharacteristic
152#1924C2211yescharacteristic
153#1924C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1921C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1895C2211yescharacteristic, complemented
158#1895C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1874C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1872C2211yescharacteristic
171#1872C2211yescharacteristic, complemented
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1870C2211yescharacteristic
175#1870C2211yescharacteristic, complemented
176#1869C2211yescharacteristic, complemented
177#1864C2211yescharacteristic, complemented
178#1864C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1853C2211yescharacteristic
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1836C2211yescharacteristic, complemented
188#1836C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1823C2211yescharacteristic
191#1823C2211yescharacteristic, complemented
192#1808C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1803C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1779C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C23×C8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214#547—42no—
215#547—42no—
216#546—48no—
217C2×C4⋊Q8C2311yescharacteristic
218C2×#124—21no—
219C2×#124C2311yescharacteristic
220C2×#123—21no—
221C2×#123—21no—
222C2×#123—21no—
223C2×#123—21no—
224C2×#123—21no—
225C2×C22⋊Q8—21no—
226C2×C22⋊Q8—21no—
227C2×C22⋊Q8C2311yescharacteristic
228C2×C22⋊Q8C2311yescharacteristic
229C2×C22⋊Q8C2311yescharacteristic
230C2×C22⋊Q8C2311yescharacteristic
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—42no—
237C2×#121—42no—
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#120—21no—
249C2×#120—21no—
250C2×#120D411yescharacteristic
251C2×C4×Q8C2311yescharacteristic
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×#117C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C22⋊C4—21no—
266C22×C22⋊C4—21no—
267C22×C22⋊C4—21no—
268#489—42no—
269#482—42no—
270#480—42no—
271#480—42no—
272#468—42no—
273#465—42no—
274#465—42no—
275#463—42no—
276#450—42no—
277#447—42no—
278#442—42no—
279#435—42no—
280#428—42no—
281C2×#107C2311yescharacteristic
282C2×#107C2311yescharacteristic
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#103C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
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×C22⋊C8—42no—
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×#97C2311yescharacteristic
335C2×#97C2311yescharacteristic
336C2×#97C2311yescharacteristic
337#401—21no—
338#400—21no—
339#400—21no—
340#399—21no—
341#399—21no—
342#399—21no—
343#398—21no—
344#398—21no—
345#397—21no—
346#397—21no—
347#397—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#395—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#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#393—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#391C2311yescharacteristic
378#390—21no—
379#390—21no—
380#390—21no—
381#390—21no—
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#389—21no—
388#389—21no—
389#389C2311yescharacteristic
390#389C2311yescharacteristic
391#389C2311yescharacteristic
392#389C2311yescharacteristic
393#389C2311yescharacteristic
394#389C2311yescharacteristic
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#388—21no—
405#388—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#386D411yescharacteristic
422#386D411yescharacteristic
423#386D411yescharacteristic
424#385—21no—
425#385—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385D411yescharacteristic
433#385D411yescharacteristic
434#385D411yescharacteristic
435#384C2311yescharacteristic
436#384C2311yescharacteristic
437#383—21no—
438#382C2311yescharacteristic
439#382C2311yescharacteristic
440#381—21no—
441#380—21no—
442#380—21no—
443#380—21no—
444#380—21no—
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#379—21no—
458#379—21no—
459#379—21no—
460#379D411yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C2×#95—21no—
467#340C2311yescharacteristic
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#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497C25—21no—
498C25C2×D411yescharacteristic
499C2×#41—44no—
500C2×#41—44no—
501C2×#41—82no—
502C22×Q8—21no—
503C22×Q8C2411yescharacteristic
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—41no—
517C22×D4—41no—
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—21no—
532C23×C4—21no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4C2×D411yescharacteristic
544C23×C4C2×D411yescharacteristic
545C23×C4C2×D411yescharacteristic
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C2×SD16—22no—
551C2×SD16—22no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×D8—22no—
557C2×D8—41no—
558C2×D8—41no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×M16—22no—
563C2×M16—41no—
564C2×M16—41no—
565C22×C8—22no—
566C22×C8—41no—
567C22×C8—41no—
568C22×C8—41no—
569C22×C8—41no—
570C22×C8—41no—
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C4⋊Q8—22no—
580C4⋊Q8—41no—
581#124—41no—
582#124—41no—
583#124—44no—
584#123—44no—
585#123—44no—
586#123—44no—
587#123—44no—
588#123—82no—
589C22⋊Q8—44no—
590C22⋊Q8—44no—
591C22⋊Q8—41no—
592C22⋊Q8—41no—
593C22⋊Q8—41no—
594C22⋊Q8—41no—
595C22⋊Q8—41no—
596C22⋊Q8—41no—
597C22⋊Q8—41no—
598C22⋊Q8—41no—
599#121—22no—
600#121—22no—
601#121—22no—
602#121—22no—
603#121—22no—
604#121—44no—
605#121—41no—
606#121—41no—
607#121—41no—
608#121—41no—
609#121—41no—
610#121—44no—
611#121—44no—
612#121—44no—
613#121—44no—
614#121—41no—
615#121—41no—
616#121—41no—
617#121—41no—
618#121—41no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#120—24no—
625#120—44no—
626#120—44no—
627C4×Q8—41no—
628C4×Q8—41no—
629C4×D4—22no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—44no—
642C4×D4—44no—
643#117—41no—
644#117—41no—
645C2×C4⋊C4—22no—
646C2×C4⋊C4—22no—
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—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—41no—
668C2×C4⋊C4—41no—
669C2×C4⋊C4—41no—
670C2×C4⋊C4—41no—
671C2×C4⋊C4—41no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4C2×D411yescharacteristic
674C2×C4⋊C4C2×D411yescharacteristic
675C2×C4⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C4⋊C4C2411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
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×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—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—44no—
731C2×C22⋊C4—44no—
732C2×C22⋊C4—44no—
733C2×C22⋊C4C2×D411yescharacteristic
734C2×C22⋊C4C2×D411yescharacteristic
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
746C2×C42—21no—
747C2×C42—21no—
748C2×C42—21no—
749C2×C42C2411yescharacteristic
750C2×C42C2411yescharacteristic
751C2×C42C2411yescharacteristic
752#107—22no—
753#107—22no—
754#107—41no—
755#107—41no—
756#107—41no—
757#107—41no—
758#106—22no—
759#106—41no—
760#106—41no—
761#106—41no—
762#106—41no—
763#106—41no—
764C4⋊C8—41no—
765C4⋊C8—41no—
766C4⋊C8—41no—
767#103—22no—
768#103—41no—
769#103—41no—
770#103—41no—
771#103—41no—
772#103—41no—
773#102—22no—
774#102—22no—
775#102—22no—
776#102—22no—
777#102—22no—
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—
790#102—41no—
791C22⋊C8—22no—
792C22⋊C8—22no—
793C22⋊C8—41no—
794C22⋊C8—41no—
795C22⋊C8—41no—
796C22⋊C8—41no—
797C22⋊C8—41no—
798C22⋊C8—41no—
799C22⋊C8—41no—
800C22⋊C8—41no—
801C22⋊C8—41no—
802C22⋊C8—41no—
803C22⋊C8—41no—
804#97—22no—
805#97—41no—
806#97—41no—
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#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95C2×D411yescharacteristic
834#95C2×D411yescharacteristic
835#95C2×D411yescharacteristic
836#95C2×D411yescharacteristic
837#95C2×D411yescharacteristic
838#95C2×D411yescharacteristic
839C24—21no—
840C24—21no—
841C24—21no—
842C24—41no—
843C24—41no—
844C24—41no—
845C24—41no—
846C24—41no—
847C24—41no—
848C24—42no—
849C24—42no—
850C24—42no—
851C24—42no—
852C24—81no—
853C24—81no—
854C24—81no—
855C24AGL(1,ℤ/8)14yes—
856C24C22×D411yescharacteristic
857C24C22×D411yescharacteristic
858C24C22×D411yescharacteristic
859C24C22×D411yescharacteristic
860#41—816no—
861C2×Q8—21no—
862C2×Q8—21no—
863C2×Q8—21no—
864C2×Q8—21no—
865C2×Q8—21no—
866C2×Q8—21no—
867C2×Q8—42no—
868C2×Q8—42no—
869C2×Q8—81no—
870C2×D4—24no—
871C2×D4—22no—
872C2×D4—22no—
873C2×D4—22no—
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—41no—
892C2×D4—41no—
893C2×D4—41no—
894C2×D4—41no—
895C2×D4—41no—
896C2×D4—41no—
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—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—81no—
915C2×D4—82no—
916C2×D4—82no—
917C2×D4—82no—
918C2×D4—82no—
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—81no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—816no—
934C2×D4H(5,𝔽2)12yes—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
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—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—41no—
973C22×C4—41no—
974C22×C4—41no—
975C22×C4—41no—
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—42no—
992C22×C4—81no—
993C22×C4—81no—
994C22×C4—81no—
995C22×C4—81no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—82no—
999C22×C4—82no—
1000C22×C4—82no—
1001C22×C4—82no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
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×C4C2511yescharacteristic
1017SD16—82no—
1018SD16—82no—
1019D8—44no—
1020D8—82no—
1021M16—44no—
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—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—82no—
1046C2×C8—82no—
1047C2×C8H(5,𝔽2)12yes—
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—41no—
1073C4⋊C4—41no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
1080C4⋊C4—42no—
1081C4⋊C4—42no—
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⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4—81no—
1094C4⋊C4H(5,𝔽2)12yes—
1095C22⋊C4—24no—
1096C22⋊C4—22no—
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—41no—
1107C22⋊C4—41no—
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—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—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C42—21no—
1150C42—21no—
1151C42—21no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—42no—
1156C42—81no—
1157C42—81no—
1158C42—81no—
1159C23—21no—
1160C23—21no—
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—22no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—44no—
1186C23—44no—
1187C23—44no—
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—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—84no—
1209C23—84no—
1210C23—82no—
1211C23—82no—
1212C23—82no—
1213C23—82no—
1214C23—84no—
1215C23—84no—
1216C23—162no—
1217C23—162no—
1218C23—162no—
1219C23C2×AGL(1,ℤ/8)12yes—
1220C23C2×AGL(1,ℤ/8)12yes—
1221C23C2×AGL(1,ℤ/8)12yes—
1222C23C23×D411yescharacteristic
1223Q8—41no—
1224Q8—41no—
1225Q8—41no—
1226Q8—41no—
1227Q8—84no—
1228D4—22no—
1229D4—22no—
1230D4—44no—
1231D4—48no—
1232D4—44no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—41no—
1239D4—41no—
1240D4—41no—
1241D4—41no—
1242D4—41no—
1243D4—82no—
1244D4—84no—
1245D4—84no—
1246D4—84no—
1247D4—84no—
1248D4—84no—
1249D4—162no—
1250D4—162no—
1251D4—162no—
1252D4—162no—
1253D4—162no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
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—22no—
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—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
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—41no—
1338C2×C4—41no—
1339C2×C4—82no—
1340C2×C4—82no—
1341C2×C4—82no—
1342C2×C4—84no—
1343C2×C4—84no—
1344C2×C4—84no—
1345C2×C4—84no—
1346C2×C4—162no—
1347C2×C4—162no—
1348C2×C4—162no—
1349C2×C4C2×H(5,𝔽2)11yescharacteristic
1350C2×C4C2×H(5,𝔽2)11yescharacteristic
1351C2×C4C2×H(5,𝔽2)11yescharacteristic
1352C2×C4#58511yescharacteristic
1353C2×C4#58511yescharacteristic
1354C2×C4#58511yescharacteristic
1355C8—22no—
1356C8—41no—
1357C8—41no—
1358C8—41no—
1359C8—41no—
1360C8—41no—
1361C8—41no—
1362C8—41no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
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—41no—
1389C22—41no—
1390C22—41no—
1391C22—42no—
1392C22—41no—
1393C22—42no—
1394C22—88no—
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—81no—
1412C22—81no—
1413C22—168no—
1414C22#348411yescharacteristic
1415C22#348511yescharacteristic
1416C22#349611yescharacteristic
1417C22C22×AGL(1,ℤ/8)11yescharacteristic
1418C22#358411yescharacteristic
1419C22#358511yescharacteristic
1420C22#358611yescharacteristic
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
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—81no—
1443C4—81no—
1444C4#354211yescharacteristic
1445C4#354211yescharacteristic
1446C4#356011yescharacteristic
1447C4#356211yescharacteristic
1448C2—42no—
1449C2—42no—
1450C2—42no—
1451C2—81no—
1452C2—82no—
1453C2—161no—
1454C2—161no—
1455C2#4793011yescharacteristic
1456C2#6157111yescharacteristic
1457C2#6162611yescharacteristic
1458C2#6170611yescharacteristic
1459C2#6176211yescharacteristic
1460C2#6225311yescharacteristic
1461C2#6229411yescharacteristic
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. #59015C2semidirect
2. #45508C2semidirect
3. #32206C2semidirect
4. #31960C2semidirect
5. #31958C2semidirect
6. #31790C2semidirect
7. #31706C2semidirect
8. #31396C2semidirect
9. #31036C2semidirect
10. #30725C2semidirect
11. #30653C2semidirect
12. #30603C2semidirect
13. #30568C2semidirect
14. #30424C2semidirect
15. #29893C2semidirect
16. #29592C2semidirect
17. #28933C2semidirect
18. #28849C2semidirect
19. #28152C2semidirect
20. #27536C2semidirect
21. #26674C2semidirect
22. #26562C2semidirect
23. #26142C2semidirect
24. #25577C2semidirect
25. #25172C2semidirect
26. #24979C2semidirect
27. #24789C2semidirect
28. #24550C2semidirect
29. #24379C2semidirect
30. #24100C2semidirect
31. #22034C2semidirect
35. C2×#489C22semidirect
36. C2×#482C22semidirect
38. C2×#480C22semidirect
39. C2×#468C22semidirect
42. C2×#463C22semidirect
45. C2×#442C22semidirect
46. C2×#435C22semidirect
47. C2×#428C22semidirect
60. #2540C22semidirect
63. #2535C22semidirect
65. #2495C22semidirect
68. #2485C22semidirect
73. #2426C22semidirect
76. #2421C22semidirect
77. #2420C22semidirect
81. #2415C22semidirect
91. #2101C22semidirect
92. #2095C22semidirect
93. #2094C22semidirect
94. #2092C22semidirect
95. #2088C22semidirect
96. #2084C22semidirect
97. #2083C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
105. #2073C22semidirect
106. #2073C22semidirect
107. #2068C22semidirect
108. #2067C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2058C22semidirect
112. #2057C22semidirect
113. #2054C22semidirect
114. #2042C22semidirect
115. #2036C22semidirect
118. #2035C22semidirect
119. #2035C22semidirect
122. #2034C22semidirect
129. #2012C22semidirect
132. #2000C22semidirect
137. #1999C22semidirect
138. #1999C22semidirect
139. #1987C22semidirect
140. #1973C22semidirect
141. #1972C22semidirect
143. #1955C22semidirect
144. #1949C22semidirect
145. #1944C22semidirect
146. #1944C22semidirect
147. #1936C22semidirect
148. #1936C22semidirect
149. #1926C22semidirect
150. #1925C22semidirect
153. #1924C22semidirect
154. #1924C22semidirect
155. #1921C22semidirect
156. #1921C22semidirect
157. #1895C22semidirect
158. #1895C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
165. #1879C22semidirect
166. #1877C22semidirect
167. #1875C22semidirect
168. #1874C22semidirect
169. #1874C22semidirect
171. #1872C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
175. #1870C22semidirect
176. #1869C22semidirect
177. #1864C22semidirect
178. #1864C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1854C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
185. #1852C22semidirect
186. #1850C22semidirect
187. #1836C22semidirect
188. #1836C22semidirect
189. #1824C22semidirect
191. #1823C22semidirect
192. #1808C22semidirect
193. #1808C22semidirect
194. #1804C22semidirect
195. #1803C22semidirect
196. #1802C22semidirect
200. #1763C22semidirect
201. #1762C22semidirect
202. #1752C22semidirect

Maximal subgroups

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

subgroupindex
#590152
#455082
#322062
#319602
#319582
#317902
#317062
#313962
#310362
#307252
#306532
#306032
#305682
#304242
#298932
#295922
#289332
#288492
#281522
#275362
#266742
#265622
#261422
#255772
#251722
#249792
#247892
#245502
#243792
#241002
#220342