Finite Group Databasebeta

← #7023251

Subgroups — #7023251

Order 512.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59568C211yesmaximal, characteristic, complemented
2#59125C211yesmaximal, characteristic, complemented
3#32112C211yesmaximal, characteristic, complemented
4#31742C211yesmaximal, characteristic, complemented
5#31654C211yesmaximal, characteristic, complemented
6#31518C211yesmaximal, characteristic, complemented
7#31333C211yesmaximal, characteristic, complemented
8#31271C211yesmaximal, characteristic, complemented
9#31138C211yesmaximal, characteristic, complemented
10#30922C211yesmaximal, characteristic, complemented
11#28119C211yesmaximal, characteristic, complemented
12#27222C211yesmaximal, characteristic, complemented
13#27015C211yesmaximal, characteristic, complemented
14#26744C211yesmaximal, characteristic, complemented
15#26689C211yesmaximal, characteristic, complemented
16#26425C211yesmaximal, characteristic, complemented
17#25950C211yesmaximal, characteristic, complemented
18#25554C211yesmaximal, characteristic, complemented
19#25547C211yesmaximal, characteristic, complemented
20#25243C211yesmaximal, characteristic, complemented
21#25139C211yesmaximal, characteristic, complemented
22#24951C211yesmaximal, characteristic, complemented
23#24883C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24298C211yesmaximal, characteristic, complemented
26#23960C211yesmaximal, characteristic, complemented
27#23452C211yesmaximal, characteristic, complemented
28#22503C211yesmaximal, characteristic, complemented
29#22419C211yesmaximal, characteristic, complemented
30#22187C211yesmaximal, characteristic, complemented
31#22174C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#548—21no—
34C2×#547C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C22×C4⋊Q8C2211yescharacteristic, complemented
37C2×#484C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#474C2211yescharacteristic
40C2×#474C2211yescharacteristic
41C2×#469C2211yescharacteristic
42C2×#468C2211yescharacteristic, complemented
43C2×#449C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#436C2211yescharacteristic, complemented
46C2×#435C2211yescharacteristic
47C2×#417C2211yescharacteristic
48C2×#417C2211yescharacteristic
49C22×#102C2211yescharacteristic
50#2688—21no—
51#2684—21no—
52#2674—21no—
53#2674—21no—
54#2557—21no—
55#2547C2211yescharacteristic
56#2542C2211yescharacteristic, complemented
57#2492C2211yescharacteristic
58#2491C2211yescharacteristic
59#2491C2211yescharacteristic, complemented
60#2485C2211yescharacteristic
61#2472—21no—
62#2470—21no—
63#2452C2211yescharacteristic
64#2447C2211yescharacteristic
65#2443—21no—
66#2443—21no—
67#2440C2211yescharacteristic
68#2440C2211yescharacteristic, complemented
69#2432—21no—
70#2429—21no—
71#2427—21no—
72#2427C2211yescharacteristic
73#2424—21no—
74#2416C2211yescharacteristic
75#2416C2211yescharacteristic, complemented
76#2415C2211yescharacteristic
77#2409—21no—
78#2408C2211yescharacteristic
79#2407C2211yescharacteristic
80#2365C2211yescharacteristic, complemented
81#2363C2211yescharacteristic
82D4×C4⋊C4C2211yescharacteristic
83D4×C4⋊C4C2211yescharacteristic, complemented
84#2342—21no—
85D4×C22⋊C4C2211yescharacteristic
86C4×#121C2211yescharacteristic
87C4×#121C2211yescharacteristic
88C4×#121C2211yescharacteristic, complemented
89#2297C2211yescharacteristic
90#2100C2211yescharacteristic, complemented
91#2093C2211yescharacteristic
92#2087C2211yescharacteristic, complemented
93#2083C2211yescharacteristic, complemented
94#2077C2211yescharacteristic
95#2077C2211yescharacteristic
96#2075C2211yescharacteristic
97#2072C2211yescharacteristic, complemented
98#2067C2211yescharacteristic
99#2067C2211yescharacteristic
100#2067C2211yescharacteristic, complemented
101#2066C2211yescharacteristic, complemented
102#2058C2211yescharacteristic, complemented
103#2057C2211yescharacteristic, complemented
104#2057C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2054C2211yescharacteristic
108#2042C2211yescharacteristic
109#2036C2211yescharacteristic, complemented
110#2036C2211yescharacteristic, complemented
111#2035C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic
114#2033C2211yescharacteristic
115#2024C2211yescharacteristic, complemented
116#2024C2211yescharacteristic, complemented
117#2024C2211yescharacteristic, complemented
118#2024C2211yescharacteristic, complemented
119#2023C2211yescharacteristic
120#2023C2211yescharacteristic
121#2023C2211yescharacteristic
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic
124#2023C2211yescharacteristic
125#2023C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2000C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1990C2211yescharacteristic, complemented
131#1988C2211yescharacteristic, complemented
132#1988C2211yescharacteristic, complemented
133#1987C2211yescharacteristic, complemented
134#1983C2211yescharacteristic
135#1970C2211yescharacteristic
136#1959C2211yescharacteristic
137#1943C2211yescharacteristic, complemented
138#1936C2211yescharacteristic, complemented
139#1933C2211yescharacteristic, complemented
140#1928C2211yescharacteristic, complemented
141#1927C2211yescharacteristic, complemented
142#1926C2211yescharacteristic
143#1926C2211yescharacteristic
144#1926C2211yescharacteristic, complemented
145#1925C2211yescharacteristic
146#1924C2211yescharacteristic, complemented
147#1923C2211yescharacteristic
148#1921C2211yescharacteristic, complemented
149#1919C2211yescharacteristic, complemented
150#1919C2211yescharacteristic, complemented
151#1919C2211yescharacteristic, complemented
152#1917C2211yescharacteristic, complemented
153#1916C2211yescharacteristic, complemented
154#1895C2211yescharacteristic
155#1895C2211yescharacteristic
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic, complemented
158#1893C2211yescharacteristic
159#1892C2211yescharacteristic
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1877C2211yescharacteristic, complemented
166#1875C2211yescharacteristic, complemented
167#1874C2211yescharacteristic
168#1874C2211yescharacteristic
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic
171#1872C2211yescharacteristic
172#1870C2211yescharacteristic
173#1870C2211yescharacteristic
174#1870C2211yescharacteristic, complemented
175#1869C2211yescharacteristic
176#1864C2211yescharacteristic
177#1862C2211yescharacteristic
178#1862C2211yescharacteristic
179#1862C2211yescharacteristic, complemented
180#1854C2211yescharacteristic, complemented
181#1852C2211yescharacteristic
182#1852C2211yescharacteristic, complemented
183#1852C2211yescharacteristic, complemented
184#1851C2211yescharacteristic, complemented
185#1850C2211yescharacteristic
186#1825C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1823C2211yescharacteristic
189#1809C2211yescharacteristic, complemented
190#1808C2211yescharacteristic
191#1802C2211yescharacteristic
192#1802C2211yescharacteristic
193#1797C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1762C2211yescharacteristic
198C4×#102C2211yescharacteristic
199#1736C2211yescharacteristic, complemented
200#1736C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8—21no—
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C23×C8C2311yescharacteristic
214#555—24no—
215#555—42no—
216#548—48no—
217#547—42no—
218#547—42no—
219#546—24no—
220#546—42no—
221C2×C4⋊Q8—21no—
222C2×C4⋊Q8—21no—
223C2×C4⋊Q8—42no—
224C2×C4⋊Q8—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×C4⋊Q8C2311yescharacteristic
227C2×C4⋊Q8C2311yescharacteristic
228C2×C4⋊Q8C2311yescharacteristic
229C2×C4⋊Q8C2311yescharacteristic
230C2×#124—21no—
231C2×#124—21no—
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121D411yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#120—21no—
259C2×#120—21no—
260C2×C4×Q8—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117—21no—
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C22×C4⋊C4—21no—
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282C22×C42C2311yescharacteristic
283#484—42no—
284#482—42no—
285#474—42no—
286#474—42no—
287#469—24no—
288#468—42no—
289#449—42no—
290#447—42no—
291#436—42no—
292#435—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#417—42no—
307#417—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#102—42no—
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×#97C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#399—21no—
347#399—21no—
348#398—21no—
349#398—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#395—21no—
361#395—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#393—21no—
372#393—21no—
373#393—21no—
374#393—21no—
375#392—21no—
376#392—21no—
377#391—21no—
378#391—21no—
379#391—21no—
380#391C2311yescharacteristic
381#391C2311yescharacteristic
382#391C2311yescharacteristic
383#390—21no—
384#390D411yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#389—21no—
393#389—21no—
394#389—21no—
395#389D411yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388D411yescharacteristic
411#388D411yescharacteristic
412#387—21no—
413#387—21no—
414#387—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386D411yescharacteristic
427#386D411yescharacteristic
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#384C2311yescharacteristic
438#384C2311yescharacteristic
439#381—21no—
440#380—21no—
441#380D411yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#379—21no—
451#379—21no—
452C4×C4⋊C4C2311yescharacteristic
453C4×C4⋊C4C2311yescharacteristic
454C4×C4⋊C4C2311yescharacteristic
455C4×C4⋊C4C2311yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C22⋊C4—21no—
458C4×C22⋊C4—21no—
459C4×C22⋊C4—21no—
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464#340C2311yescharacteristic
465#340C2311yescharacteristic
466#340C2311yescharacteristic
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#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500C25—21no—
501C2×#41—22no—
502C2×#41—22no—
503C2×#41—22no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—44no—
508C2×#41—44no—
509C2×#41—82no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8—21no—
513C22×Q8—21no—
514C22×Q8—21no—
515C22×Q8—44no—
516C22×Q8—44no—
517C22×Q8—82no—
518C22×Q8C2411yescharacteristic
519C22×D4—21no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4C2×D411yescharacteristic
534C22×D4C2×D411yescharacteristic
535C22×D4C2×D411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4C2×D411yescharacteristic
549C23×C4C2×D411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×D8—22no—
557C2×D8—22no—
558C2×D8—41no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×M16—22no—
563C2×M16—22no—
564C2×M16—41no—
565C2×M16—41no—
566C2×M16—41no—
567C2×M16—41no—
568C2×M16—41no—
569C2×M16—41no—
570C2×M16—41no—
571C22×C8—41no—
572C22×C8—41no—
573C22×C8—41no—
574C22×C8C2411yescharacteristic
575C22×C8C2411yescharacteristic
576C22×C8C2411yescharacteristic
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C4⋊Q8—22no—
583C4⋊Q8—22no—
584C4⋊Q8—22no—
585C4⋊Q8—22no—
586C4⋊Q8—22no—
587C4⋊Q8—41no—
588C4⋊Q8—41no—
589C4⋊Q8—41no—
590C4⋊Q8—41no—
591C4⋊Q8—41no—
592C4⋊Q8—44no—
593C4⋊Q8—44no—
594#124—22no—
595#124—41no—
596#124—44no—
597#124—44no—
598#124—44no—
599#124—44no—
600#124—44no—
601#123—44no—
602#123—44no—
603#123—44no—
604C22⋊Q8—22no—
605C22⋊Q8—44no—
606C22⋊Q8—41no—
607C22⋊Q8—44no—
608C22⋊Q8—44no—
609C22⋊Q8—44no—
610C22⋊Q8—41no—
611C22⋊Q8—41no—
612C22⋊Q8—82no—
613C22⋊Q8—82no—
614#121—22no—
615#121—24no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—44no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—44no—
628#121—44no—
629#121—44no—
630#121#4114yescomplemented
631#120—44no—
632#120—82no—
633C4×Q8—44no—
634C4×D4—22no—
635C4×D4—22no—
636C4×D4—22no—
637C4×D4—22no—
638C4×D4—22no—
639C4×D4—22no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—44no—
649C4×D4—44no—
650C4×D4—44no—
651C4×D4—82no—
652#117—22no—
653#117—22no—
654#117—22no—
655#117—44no—
656#117—41no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—22no—
660C2×C4⋊C4—22no—
661C2×C4⋊C4—22no—
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—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—44no—
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—44no—
743C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—41no—
761C2×C42—41no—
762C2×C42C2×D411yescharacteristic
763C2×C42C2×D411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768#107—22no—
769#107—22no—
770#107—41no—
771#107—41no—
772#107—41no—
773#107—41no—
774#106—22no—
775#106—41no—
776#106—41no—
777C4⋊C8—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781#103—22no—
782#103—22no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807C22⋊C8—22no—
808C22⋊C8—22no—
809C22⋊C8—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815#97—41no—
816C4×C8—41no—
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#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847C24—21no—
848C24—21no—
849C24—21no—
850C24—42no—
851C24—42no—
852C24—42no—
853C24—81no—
854C24—81no—
855C24—81no—
856C24—81no—
857C24C22×D411yescharacteristic
858C24C22×D411yescharacteristic
859C24C22×D411yescharacteristic
860#41—44no—
861#41—44no—
862#41—82no—
863#41—82no—
864#41—816no—
865C2×Q8—24no—
866C2×Q8—21no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×Q8—42no—
873C2×Q8—42no—
874C2×Q8—42no—
875C2×Q8—42no—
876C2×Q8—42no—
877C2×Q8—42no—
878C2×Q8—42no—
879C2×Q8—42no—
880C2×Q8—42no—
881C2×Q8—42no—
882C2×Q8—81no—
883C2×Q8—81no—
884C2×Q8—81no—
885C2×Q8—81no—
886C2×Q8—816no—
887C2×D4—22no—
888C2×D4—22no—
889C2×D4—22no—
890C2×D4—22no—
891C2×D4—24no—
892C2×D4—22no—
893C2×D4—22no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—41no—
911C2×D4—41no—
912C2×D4—41no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—44no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—81no—
928C2×D4—82no—
929C2×D4—82no—
930C2×D4—82no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4C2×#4112yes—
941C2×D42−1+412yes—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—22no—
950C22×C4—22no—
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—41no—
974C22×C4—41no—
975C22×C4—41no—
976C22×C4—41no—
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—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—81no—
995C22×C4—81no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4C22×D411yescharacteristic
1005C22×C4C22×D411yescharacteristic
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×C4C2×#4112yes—
1016C22×C4H(5,𝔽2)12yes—
1017C22×C4C2511yescharacteristic
1018SD16—82no—
1019D8—82no—
1020D8—82no—
1021M16—82no—
1022M16—82no—
1023M16—82no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—82no—
1049C4⋊C4—24no—
1050C4⋊C4—22no—
1051C4⋊C4—22no—
1052C4⋊C4—22no—
1053C4⋊C4—22no—
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—41no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
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—42no—
1090C4⋊C4—42no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4—81no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4C2×#4112yes—
1097C4⋊C4H(5,𝔽2)12yes—
1098C4⋊C4H(5,𝔽2)12yes—
1099C22⋊C4—22no—
1100C22⋊C4—22no—
1101C22⋊C4—24no—
1102C22⋊C4—22no—
1103C22⋊C4—22no—
1104C22⋊C4—22no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
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—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
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⋊C4AGL(1,ℤ/8)14yes—
1147C42—21no—
1148C42—21no—
1149C42—21no—
1150C42—21no—
1151C42—21no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—41no—
1156C42—41no—
1157C42—42no—
1158C42—42no—
1159C42—42no—
1160C42—42no—
1161C42—42no—
1162C42—81no—
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—22no—
1178C23—21no—
1179C23—21no—
1180C23—22no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—84no—
1204C23—84no—
1205C23—84no—
1206C23—162no—
1207C23—162no—
1208C23—162no—
1209C23—162no—
1210C23#54612yes—
1211C23C2×AGL(1,ℤ/8)12yes—
1212C23C23×D411yescharacteristic
1213Q8—48no—
1214Q8—41no—
1215Q8—41no—
1216Q8—41no—
1217Q8—41no—
1218Q8—84no—
1219Q8—84no—
1220Q8—84no—
1221Q8—162no—
1222D4—22no—
1223D4—22no—
1224D4—22no—
1225D4—22no—
1226D4—44no—
1227D4—44no—
1228D4—44no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—84no—
1238D4—84no—
1239D4—84no—
1240D4—84no—
1241D4—84no—
1242D4—84no—
1243D4—162no—
1244D4—162no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—22no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—44no—
1282C2×C4—44no—
1283C2×C4—41no—
1284C2×C4—41no—
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—84no—
1328C2×C4—84no—
1329C2×C4—84no—
1330C2×C4—84no—
1331C2×C4—84no—
1332C2×C4—84no—
1333C2×C4—84no—
1334C2×C4—162no—
1335C2×C4—162no—
1336C2×C4#54612yes—
1337C2×C4C2×AGL(1,ℤ/8)12yes—
1338C2×C4C2×AGL(1,ℤ/8)12yes—
1339C2×C4#57612yes—
1340C2×C4C22×#4111yescharacteristic
1341C2×C4C2×H(5,𝔽2)11yescharacteristic
1342C2×C4C2×H(5,𝔽2)11yescharacteristic
1343C2×C4C2×H(5,𝔽2)11yescharacteristic
1344C2×C4C2×2−1+411yescharacteristic
1345C2×C4#58511yescharacteristic
1346C8—41no—
1347C8—41no—
1348C8—41no—
1349C8—41no—
1350C8—41no—
1351C8—41no—
1352C8—41no—
1353C8—41no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—22no—
1359C22—22no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—42no—
1369C22—41no—
1370C22—41no—
1371C22—42no—
1372C22—42no—
1373C22—41no—
1374C22—41no—
1375C22—42no—
1376C22—41no—
1377C22—41no—
1378C22—42no—
1379C22—42no—
1380C22—41no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—168no—
1397C22C2×#54611yescharacteristic
1398C22#348411yescharacteristic
1399C22#348911yescharacteristic
1400C22C22×AGL(1,ℤ/8)11yescharacteristic
1401C22C2×#57611yescharacteristic
1402C22#358611yescharacteristic
1403C22#358611yescharacteristic
1404C4—22no—
1405C4—22no—
1406C4—22no—
1407C4—22no—
1408C4—41no—
1409C4—41no—
1410C4—42no—
1411C4—41no—
1412C4—41no—
1413C4—42no—
1414C4—42no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—81no—
1419C4—81no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4—81no—
1427C4—81no—
1428C4#351411yescharacteristic
1429C4#352011yescharacteristic
1430C4#353611yescharacteristic
1431C4#355811yescharacteristic
1432C2—42no—
1433C2—42no—
1434C2—81no—
1435C2—82no—
1436C2—82no—
1437C2—161no—
1438C2#4310111yescharacteristic
1439C2#6116111yescharacteristic
1440C2#6119911yescharacteristic
1441C2#6159111yescharacteristic
1442C2#6164611yescharacteristic
1443C2#6210711yescharacteristic
1444C2#6218011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59568C2semidirect
2. #59125C2semidirect
3. #32112C2semidirect
4. #31742C2semidirect
5. #31654C2semidirect
6. #31518C2semidirect
7. #31333C2semidirect
8. #31271C2semidirect
9. #31138C2semidirect
10. #30922C2semidirect
11. #28119C2semidirect
12. #27222C2semidirect
13. #27015C2semidirect
14. #26744C2semidirect
15. #26689C2semidirect
16. #26425C2semidirect
17. #25950C2semidirect
18. #25554C2semidirect
19. #25547C2semidirect
20. #25243C2semidirect
21. #25139C2semidirect
22. #24951C2semidirect
23. #24883C2semidirect
24. #24444C2semidirect
25. #24298C2semidirect
26. #23960C2semidirect
27. #23452C2semidirect
28. #22503C2semidirect
29. #22419C2semidirect
30. #22187C2semidirect
31. #22174C2semidirect
36. C22×C4⋊Q8C22semidirect
37. C2×#484C22semidirect
38. C2×#482C22semidirect
42. C2×#468C22semidirect
45. C2×#436C22semidirect
56. #2542C22semidirect
59. #2491C22semidirect
68. #2440C22semidirect
75. #2416C22semidirect
80. #2365C22semidirect
83. D4×C4⋊C4C22semidirect
88. C4×#121C22semidirect
90. #2100C22semidirect
92. #2087C22semidirect
93. #2083C22semidirect
97. #2072C22semidirect
100. #2067C22semidirect
101. #2066C22semidirect
102. #2058C22semidirect
103. #2057C22semidirect
104. #2057C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
109. #2036C22semidirect
110. #2036C22semidirect
115. #2024C22semidirect
116. #2024C22semidirect
117. #2024C22semidirect
118. #2024C22semidirect
125. #2023C22semidirect
130. #1990C22semidirect
131. #1988C22semidirect
132. #1988C22semidirect
133. #1987C22semidirect
137. #1943C22semidirect
138. #1936C22semidirect
139. #1933C22semidirect
140. #1928C22semidirect
141. #1927C22semidirect
144. #1926C22semidirect
146. #1924C22semidirect
148. #1921C22semidirect
149. #1919C22semidirect
150. #1919C22semidirect
151. #1919C22semidirect
152. #1917C22semidirect
153. #1916C22semidirect
157. #1895C22semidirect
165. #1877C22semidirect
166. #1875C22semidirect
174. #1870C22semidirect
179. #1862C22semidirect
180. #1854C22semidirect
182. #1852C22semidirect
183. #1852C22semidirect
184. #1851C22semidirect
186. #1825C22semidirect
187. #1825C22semidirect
189. #1809C22semidirect
193. #1797C22semidirect
199. #1736C22semidirect
200. #1736C22semidirect
201. #1736C22semidirect
202. #1728C22semidirect
630. #121#41semidirect

Maximal subgroups

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

subgroupindex
#595682
#591252
#321122
#317422
#316542
#315182
#313332
#312712
#311382
#309222
#281192
#272222
#270152
#267442
#266892
#264252
#259502
#255542
#255472
#252432
#251392
#249512
#248832
#244442
#242982
#239602
#234522
#225032
#224192
#221872
#221742