Finite Group Databasebeta

← #7326532

Subgroups — #7326532

Order 512.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1471 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59015C211yesmaximal, characteristic, complemented
2#45623C211yesmaximal, characteristic, complemented
3#32308C211yesmaximal, characteristic, complemented
4#31862C211yesmaximal, characteristic, complemented
5#31718C211yesmaximal, characteristic, complemented
6#31681C211yesmaximal, characteristic, complemented
7#31626C211yesmaximal, characteristic, complemented
8#31402C211yesmaximal, characteristic, complemented
9#31352C211yesmaximal, characteristic, complemented
10#31103C211yesmaximal, characteristic, complemented
11#30925C211yesmaximal, characteristic, complemented
12#30581C211yesmaximal, characteristic, complemented
13#30561C211yesmaximal, characteristic, complemented
14#30501C211yesmaximal, characteristic, complemented
15#29892C211yesmaximal, characteristic, complemented
16#29598C211yesmaximal, characteristic, complemented
17#28565C211yesmaximal, characteristic, complemented
18#28237C211yesmaximal, characteristic, complemented
19#28091C211yesmaximal, characteristic, complemented
20#27110C211yesmaximal, characteristic, complemented
21#26966C211yesmaximal, characteristic, complemented
22#26632C211yesmaximal, characteristic, complemented
23#26244C211yesmaximal, characteristic, complemented
24#25533C211yesmaximal, characteristic, complemented
25#24937C211yesmaximal, characteristic, complemented
26#24913C211yesmaximal, characteristic, complemented
27#24905C211yesmaximal, characteristic, complemented
28#24559C211yesmaximal, characteristic, complemented
29#24384C211yesmaximal, characteristic, complemented
30#24120C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#546—21no—
34C22×#121C2211yescharacteristic
35C2×#484C2211yescharacteristic
36C2×#483C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic, complemented
38C2×#475C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic
40C2×#469C2211yescharacteristic
41C2×#466C2211yescharacteristic, complemented
42C2×#465C2211yescharacteristic, complemented
43C2×#450C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#442C2211yescharacteristic, complemented
46C2×C4×SD16C2211yescharacteristic, complemented
47C2×#435C2211yescharacteristic, complemented
48C2×#407C2211yescharacteristic
49#2848C2211yescharacteristic
50#2847C2211yescharacteristic
51#2827—21no—
52#2780—21no—
53#2757—21no—
54#2749—21no—
55#2697—21no—
56#2693—21no—
57#2678—21no—
58#2672—21no—
59#2671—21no—
60#2540C2211yescharacteristic
61#2538C2211yescharacteristic, complemented
62#2537C2211yescharacteristic
63#2535C2211yescharacteristic, complemented
64#2501C2211yescharacteristic
65#2497C2211yescharacteristic, complemented
66#2495C2211yescharacteristic, complemented
67#2491C2211yescharacteristic
68#2486C2211yescharacteristic
69#2440C2211yescharacteristic
70#2437—21no—
71#2430—21no—
72#2427C2211yescharacteristic, complemented
73#2426C2211yescharacteristic, complemented
74#2425—21no—
75#2422C2211yescharacteristic
76#2422C2211yescharacteristic
77#2421C2211yescharacteristic
78#2418—21no—
79#2417C2211yescharacteristic, complemented
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic
82#2416C2211yescharacteristic, complemented
83#2408C2211yescharacteristic
84#2405—21no—
85#2377—21no—
86#2361C2211yescharacteristic
87D4×C4⋊C4C2211yescharacteristic
88D4×C22⋊C4C2211yescharacteristic
89C4×#120C2211yescharacteristic
90C2×#380C2211yescharacteristic
91#2100C2211yescharacteristic, complemented
92#2100C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2088C2211yescharacteristic, complemented
96#2086C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2084C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2077C2211yescharacteristic
101#2077C2211yescharacteristic
102#2077C2211yescharacteristic
103#2077C2211yescharacteristic
104#2077C2211yescharacteristic, complemented
105#2077C2211yescharacteristic, complemented
106#2072C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2057C2211yescharacteristic, complemented
110#2055C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2036C2211yescharacteristic
113#2036C2211yescharacteristic
114#2035C2211yescharacteristic, complemented
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic, complemented
139#1990C2211yescharacteristic, complemented
140#1983C2211yescharacteristic, complemented
141#1959C2211yescharacteristic, complemented
142#1955C2211yescharacteristic
143#1954C2211yescharacteristic, complemented
144#1947C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1935C2211yescharacteristic, complemented
149#1934C2211yescharacteristic, complemented
150#1934C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1924C2211yescharacteristic
154#1924C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic
157#1919C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1894C2211yescharacteristic, complemented
162#1894C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1874C2211yescharacteristic
168#1874C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1874C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1870C2211yescharacteristic, complemented
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic, complemented
177#1865C2211yescharacteristic, complemented
178#1864C2211yescharacteristic, complemented
179#1864C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1853C2211yescharacteristic
182#1853C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1847C2211yescharacteristic, complemented
188#1824C2211yescharacteristic
189#1823C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1807C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1779C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
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×#123—21no—
226C2×#123—21no—
227C2×C22⋊Q8—21no—
228C2×C22⋊Q8—21no—
229C2×C22⋊Q8C2311yescharacteristic
230C2×C22⋊Q8C2311yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—42no—
240C2×#121—42no—
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#120—21no—
252C2×#120—21no—
253C2×#120D411yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271#484—42no—
272#483—42no—
273#480—42no—
274#475—42no—
275#469—42no—
276#469—42no—
277#466—42no—
278#465—42no—
279#450—42no—
280#447—42no—
281#442—42no—
282C4×SD16—42no—
283#435—42no—
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×#106C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323#407—42no—
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×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340#400—21no—
341#400—21no—
342#400—21no—
343#399—21no—
344#399—21no—
345#399—21no—
346#398—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#397—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#395—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#393—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#391C2311yescharacteristic
381#390—21no—
382#390—21no—
383#390—21no—
384#390—21no—
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#389—21no—
391#389—21no—
392#389C2311yescharacteristic
393#389C2311yescharacteristic
394#389C2311yescharacteristic
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
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#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#386D411yescharacteristic
420#386D411yescharacteristic
421#386D411yescharacteristic
422#385—21no—
423#385—21no—
424#385—21no—
425#385—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385D411yescharacteristic
432#385D411yescharacteristic
433#385D411yescharacteristic
434#384C2311yescharacteristic
435#384C2311yescharacteristic
436#384C2311yescharacteristic
437#383—21no—
438#382C2311yescharacteristic
439#381—21no—
440#380—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—21no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4C2×D411yescharacteristic
545C23×C4C2×D411yescharacteristic
546C23×C4C2×D411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C2×SD16—22no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×SD16—41no—
557C2×D8—22no—
558C2×D8—22no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8—41no—
563C2×M16—22no—
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
580C4⋊Q8—22no—
581C4⋊Q8—41no—
582#124—41no—
583#124—41no—
584#124—44no—
585#123—44no—
586#123—44no—
587#123—44no—
588#123—44no—
589#123—82no—
590#123—82no—
591#123—82no—
592C22⋊Q8—44no—
593C22⋊Q8—44no—
594C22⋊Q8—41no—
595C22⋊Q8—41no—
596C22⋊Q8—41no—
597C22⋊Q8—41no—
598C22⋊Q8—41no—
599C22⋊Q8—41no—
600C22⋊Q8—41no—
601C22⋊Q8—41no—
602#121—22no—
603#121—22no—
604#121—22no—
605#121—22no—
606#121—22no—
607#121—44no—
608#121—41no—
609#121—41no—
610#121—41no—
611#121—41no—
612#121—41no—
613#121—44no—
614#121—44no—
615#121—44no—
616#121—44no—
617#121—44no—
618#121—41no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#120—24no—
629#120—44no—
630#120—82no—
631C4×Q8—41no—
632C4×Q8—41no—
633C4×D4—22no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—44no—
646C4×D4—44no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—22no—
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—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⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
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—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—44no—
737C2×C22⋊C4—44no—
738C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42C2411yescharacteristic
755C2×C42C2411yescharacteristic
756C2×C42C2411yescharacteristic
757#107—22no—
758#107—41no—
759#107—41no—
760#107—41no—
761#106—22no—
762#106—22no—
763#106—41no—
764#106—41no—
765#106—41no—
766#106—41no—
767#106—41no—
768#106—41no—
769C4⋊C8—41no—
770C4⋊C8—41no—
771C4⋊C8—41no—
772#103—22no—
773#103—22no—
774#103—41no—
775#103—41no—
776#103—41no—
777#103—41no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
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—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796C22⋊C8—22no—
797C22⋊C8—22no—
798C22⋊C8—41no—
799C22⋊C8—41no—
800C22⋊C8—41no—
801C22⋊C8—41no—
802C22⋊C8—41no—
803C22⋊C8—41no—
804C22⋊C8—41no—
805C22⋊C8—41no—
806C22⋊C8—41no—
807C22⋊C8—41no—
808C22⋊C8—41no—
809#97—22no—
810#97—41no—
811C4×C8—41no—
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#95—21no—
834#95—21no—
835#95—21no—
836#95C2×D411yescharacteristic
837#95C2×D411yescharacteristic
838#95C2×D411yescharacteristic
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842C24—21no—
843C24—22no—
844C24—22no—
845C24—21no—
846C24—21no—
847C24—41no—
848C24—41no—
849C24—41no—
850C24—41no—
851C24—41no—
852C24—42no—
853C24—42no—
854C24—42no—
855C24—42no—
856C24—81no—
857C24—81no—
858C24—81no—
859C24C22×D411yescharacteristic
860C24C22×D411yescharacteristic
861C24C22×D411yescharacteristic
862C24C22×D411yescharacteristic
863#41—816no—
864C2×Q8—21no—
865C2×Q8—21no—
866C2×Q8—21no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—42no—
871C2×Q8—42no—
872C2×Q8—81no—
873C2×D4—24no—
874C2×D4—22no—
875C2×D4—22no—
876C2×D4—22no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—41no—
895C2×D4—41no—
896C2×D4—41no—
897C2×D4—41no—
898C2×D4—41no—
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—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—81no—
918C2×D4—82no—
919C2×D4—82no—
920C2×D4—82no—
921C2×D4—82no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—81no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—816no—
936C2×D4AGL(1,ℤ/8)14yes—
937C2×D4H(5,𝔽2)12yes—
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—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—41no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—41no—
980C22×C4—41no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—41no—
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—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—82no—
1003C22×C4—82no—
1004C22×C4—82no—
1005C22×C4—82no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C2511yescharacteristic
1023SD16—44no—
1024SD16—82no—
1025D8—44no—
1026D8—82no—
1027M16—82no—
1028M16—82no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—82no—
1053C2×C8H(5,𝔽2)12yes—
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—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—42no—
1081C4⋊C4—42no—
1082C4⋊C4—42no—
1083C4⋊C4—42no—
1084C4⋊C4—42no—
1085C4⋊C4—42no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4—81no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4H(5,𝔽2)12yes—
1104C22⋊C4—24no—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—22no—
1108C22⋊C4—22no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
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—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C42—21no—
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—42no—
1164C42—81no—
1165C42—81no—
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—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—22no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—44no—
1193C23—44no—
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—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—82no—
1215C23—82no—
1216C23—82no—
1217C23—84no—
1218C23—84no—
1219C23—82no—
1220C23—82no—
1221C23—84no—
1222C23—84no—
1223C23—162no—
1224C23—162no—
1225C23—162no—
1226C23C2×AGL(1,ℤ/8)12yes—
1227C23C2×AGL(1,ℤ/8)12yes—
1228C23#57712yes—
1229C23C23×D411yescharacteristic
1230Q8—41no—
1231Q8—41no—
1232Q8—41no—
1233Q8—41no—
1234Q8—84no—
1235D4—22no—
1236D4—22no—
1237D4—44no—
1238D4—44no—
1239D4—48no—
1240D4—41no—
1241D4—41no—
1242D4—41no—
1243D4—41no—
1244D4—41no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—82no—
1251D4—84no—
1252D4—84no—
1253D4—84no—
1254D4—84no—
1255D4—84no—
1256D4—162no—
1257D4—162no—
1258D4—162no—
1259D4—162no—
1260D4—162no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—22no—
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—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
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—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—84no—
1346C2×C4—82no—
1347C2×C4—82no—
1348C2×C4—82no—
1349C2×C4—84no—
1350C2×C4—84no—
1351C2×C4—84no—
1352C2×C4—162no—
1353C2×C4—162no—
1354C2×C4—162no—
1355C2×C4—162no—
1356C2×C4C2×AGL(1,ℤ/8)12yes—
1357C2×C4C2×H(5,𝔽2)11yescharacteristic
1358C2×C4C2×H(5,𝔽2)11yescharacteristic
1359C2×C4C2×H(5,𝔽2)11yescharacteristic
1360C2×C4#58511yescharacteristic
1361C2×C4#58511yescharacteristic
1362C2×C4#58511yescharacteristic
1363C8—22no—
1364C8—41no—
1365C8—41no—
1366C8—41no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—42no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—42no—
1399C22—41no—
1400C22—41no—
1401C22—42no—
1402C22—88no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—168no—
1422C22#348411yescharacteristic
1423C22#348511yescharacteristic
1424C22#349611yescharacteristic
1425C22C22×AGL(1,ℤ/8)11yescharacteristic
1426C22C2×#57711yescharacteristic
1427C22#358511yescharacteristic
1428C22#358611yescharacteristic
1429C4—22no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—42no—
1439C4—41no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4#353311yescharacteristic
1453C4#353411yescharacteristic
1454C4#354611yescharacteristic
1455C4#355111yescharacteristic
1456C2—42no—
1457C2—42no—
1458C2—42no—
1459C2—81no—
1460C2—82no—
1461C2—161no—
1462C2—161no—
1463C2#4793111yescharacteristic
1464C2#6157111yescharacteristic
1465C2#6162011yescharacteristic
1466C2#6172811yescharacteristic
1467C2#6178211yescharacteristic
1468C2#6229511yescharacteristic
1469C2#6231911yescharacteristic
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. #45623C2semidirect
3. #32308C2semidirect
4. #31862C2semidirect
5. #31718C2semidirect
6. #31681C2semidirect
7. #31626C2semidirect
8. #31402C2semidirect
9. #31352C2semidirect
10. #31103C2semidirect
11. #30925C2semidirect
12. #30581C2semidirect
13. #30561C2semidirect
14. #30501C2semidirect
15. #29892C2semidirect
16. #29598C2semidirect
17. #28565C2semidirect
18. #28237C2semidirect
19. #28091C2semidirect
20. #27110C2semidirect
21. #26966C2semidirect
22. #26632C2semidirect
23. #26244C2semidirect
24. #25533C2semidirect
25. #24937C2semidirect
26. #24913C2semidirect
27. #24905C2semidirect
28. #24559C2semidirect
29. #24384C2semidirect
30. #24120C2semidirect
31. #22036C2semidirect
36. C2×#483C22semidirect
37. C2×#480C22semidirect
38. C2×#475C22semidirect
41. C2×#466C22semidirect
42. C2×#465C22semidirect
45. C2×#442C22semidirect
46. C2×C4×SD16C22semidirect
47. C2×#435C22semidirect
61. #2538C22semidirect
63. #2535C22semidirect
65. #2497C22semidirect
66. #2495C22semidirect
72. #2427C22semidirect
73. #2426C22semidirect
79. #2417C22semidirect
82. #2416C22semidirect
91. #2100C22semidirect
92. #2100C22semidirect
93. #2094C22semidirect
94. #2092C22semidirect
95. #2088C22semidirect
96. #2086C22semidirect
97. #2085C22semidirect
98. #2084C22semidirect
99. #2084C22semidirect
104. #2077C22semidirect
105. #2077C22semidirect
106. #2072C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2057C22semidirect
110. #2055C22semidirect
111. #2054C22semidirect
114. #2035C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
127. #2033C22semidirect
128. #2023C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
135. #2000C22semidirect
138. #1999C22semidirect
139. #1990C22semidirect
140. #1983C22semidirect
141. #1959C22semidirect
143. #1954C22semidirect
144. #1947C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1936C22semidirect
148. #1935C22semidirect
149. #1934C22semidirect
150. #1934C22semidirect
151. #1926C22semidirect
152. #1925C22semidirect
154. #1924C22semidirect
155. #1924C22semidirect
157. #1919C22semidirect
158. #1919C22semidirect
161. #1894C22semidirect
162. #1894C22semidirect
163. #1880C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1877C22semidirect
168. #1874C22semidirect
169. #1874C22semidirect
170. #1874C22semidirect
171. #1874C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
174. #1870C22semidirect
176. #1869C22semidirect
177. #1865C22semidirect
178. #1864C22semidirect
179. #1864C22semidirect
180. #1862C22semidirect
182. #1853C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
185. #1852C22semidirect
186. #1851C22semidirect
187. #1847C22semidirect
189. #1823C22semidirect
190. #1823C22semidirect
191. #1809C22semidirect
192. #1809C22semidirect
193. #1807C22semidirect
194. #1804C22semidirect
195. #1802C22semidirect
196. #1802C22semidirect
200. #1776C22semidirect
201. #1753C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#590152
#456232
#323082
#318622
#317182
#316812
#316262
#314022
#313522
#311032
#309252
#305812
#305612
#305012
#298922
#295982
#285652
#282372
#280912
#271102
#269662
#266322
#262442
#255332
#249372
#249132
#249052
#245592
#243842
#241202
#220362