Finite Group Databasebeta

← #7055048

Subgroups — #7055048

Order 512.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1467 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59022C211yesmaximal, characteristic, complemented
2#39722C211yesmaximal, characteristic, complemented
3#32127C211yesmaximal, characteristic, complemented
4#32076C211yesmaximal, characteristic, complemented
5#31862C211yesmaximal, characteristic, complemented
6#31726C211yesmaximal, characteristic, complemented
7#31407C211yesmaximal, characteristic, complemented
8#30718C211yesmaximal, characteristic, complemented
9#30711C211yesmaximal, characteristic, complemented
10#30606C211yesmaximal, characteristic, complemented
11#28993C211yesmaximal, characteristic, complemented
12#28924C211yesmaximal, characteristic, complemented
13#28566C211yesmaximal, characteristic, complemented
14#27275C211yesmaximal, characteristic, complemented
15#26946C211yesmaximal, characteristic, complemented
16#26740C211yesmaximal, characteristic, complemented
17#26018C211yesmaximal, characteristic, complemented
18#25576C211yesmaximal, characteristic, complemented
19#25546C211yesmaximal, characteristic, complemented
20#25399C211yesmaximal, characteristic, complemented
21#24888C211yesmaximal, characteristic, complemented
22#24557C211yesmaximal, characteristic, complemented
23#24388C211yesmaximal, characteristic, complemented
24#24375C211yesmaximal, characteristic, complemented
25#24274C211yesmaximal, characteristic, complemented
26#23975C211yesmaximal, characteristic, complemented
27#23392C211yesmaximal, characteristic, complemented
28#22850C211yesmaximal, characteristic, complemented
29#22579C211yesmaximal, characteristic, complemented
30#22498C211yesmaximal, characteristic, complemented
31#21765C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×#552C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C2×#488C2211yescharacteristic, complemented
38C2×#481C2211yescharacteristic
39C2×#485C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#468C2211yescharacteristic
42C2×#467C2211yescharacteristic, complemented
43C2×#465C2211yescharacteristic, complemented
44C2×#464C2211yescharacteristic, complemented
45C2×#464C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic
47C2×#435C2211yescharacteristic
48C2×#435C2211yescharacteristic
49C2×#417C2211yescharacteristic
50C2×#419C2211yescharacteristic
51C2×#407C2211yescharacteristic
52C2×#407C2211yescharacteristic
53#2847C2211yescharacteristic
54#2723—21no—
55#2723—21no—
56#2705—21no—
57#2696—21no—
58#2696—21no—
59#2694—21no—
60#2617—21no—
61#2540C2211yescharacteristic
62#2540C2211yescharacteristic
63#2539—21no—
64#2538C2211yescharacteristic
65#2504—21no—
66#2501C2211yescharacteristic
67#2490C2211yescharacteristic
68#2489C2211yescharacteristic
69#2489C2211yescharacteristic
70#2487—21no—
71#2467—21no—
72#2454—21no—
73#2441C2211yescharacteristic
74#2436C2211yescharacteristic
75#2427C2211yescharacteristic
76#2427C2211yescharacteristic
77#2425—21no—
78#2423C2211yescharacteristic
79#2416C2211yescharacteristic
80#2415C2211yescharacteristic
81#2415C2211yescharacteristic
82#2414C2211yescharacteristic
83#2411—21no—
84#2409C2211yescharacteristic
85#2407C2211yescharacteristic
86#2360C2211yescharacteristic
87#2359—21no—
88#2354C2211yescharacteristic
89#2345C2211yescharacteristic
90#2341C2211yescharacteristic
91#2321—21no—
92C4×#120C2211yescharacteristic
93C2×#380C2211yescharacteristic
94#2100C2211yescharacteristic, complemented
95#2095C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2086C2211yescharacteristic, complemented
98#2077C2211yescharacteristic
99#2077C2211yescharacteristic
100#2072C2211yescharacteristic, complemented
101#2072C2211yescharacteristic, complemented
102#2059C2211yescharacteristic, complemented
103#2056C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2036C2211yescharacteristic, complemented
110#2035C2211yescharacteristic
111#2035C2211yescharacteristic, complemented
112#2033C2211yescharacteristic
113#2033C2211yescharacteristic
114#2033C2211yescharacteristic
115#2026C2211yescharacteristic, complemented
116#2026C2211yescharacteristic, complemented
117#2025C2211yescharacteristic, complemented
118#2012C2211yescharacteristic, complemented
119#2012C2211yescharacteristic, complemented
120#2001C2211yescharacteristic
121#2001C2211yescharacteristic
122#2001C2211yescharacteristic
123#2001C2211yescharacteristic
124#2001C2211yescharacteristic, complemented
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic, complemented
134#1992C2211yescharacteristic, complemented
135#1989C2211yescharacteristic, complemented
136#1989C2211yescharacteristic, complemented
137#1973C2211yescharacteristic, complemented
138#1971C2211yescharacteristic, complemented
139#1959C2211yescharacteristic, complemented
140#1954C2211yescharacteristic
141#1947C2211yescharacteristic, complemented
142#1936C2211yescharacteristic, complemented
143#1935C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1933C2211yescharacteristic, complemented
146#1927C2211yescharacteristic, complemented
147#1927C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic
151#1924C2211yescharacteristic
152#1920C2211yescharacteristic, complemented
153#1919C2211yescharacteristic, complemented
154#1895C2211yescharacteristic
155#1895C2211yescharacteristic
156#1895C2211yescharacteristic
157#1894C2211yescharacteristic
158#1894C2211yescharacteristic
159#1894C2211yescharacteristic
160#1894C2211yescharacteristic
161#1894C2211yescharacteristic
162#1893C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1878C2211yescharacteristic, complemented
165#1878C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic
168#1875C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1874C2211yescharacteristic
171#1873C2211yescharacteristic, complemented
172#1873C2211yescharacteristic, complemented
173#1872C2211yescharacteristic
174#1872C2211yescharacteristic
175#1872C2211yescharacteristic
176#1872C2211yescharacteristic
177#1870C2211yescharacteristic
178#1870C2211yescharacteristic
179#1869C2211yescharacteristic
180#1865C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1854C2211yescharacteristic
183#1852C2211yescharacteristic
184#1851C2211yescharacteristic
185#1851C2211yescharacteristic
186#1825C2211yescharacteristic, complemented
187#1824C2211yescharacteristic
188#1823C2211yescharacteristic
189#1823C2211yescharacteristic
190#1809C2211yescharacteristic
191#1809C2211yescharacteristic
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic
194#1787C2211yescharacteristic
195#1787C2211yescharacteristic
196#1763C2211yescharacteristic, complemented
197#1762C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200#1753C2211yescharacteristic
201#1736C2211yescharacteristic
202#1735C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C2×#137—42no—
207C2×#137—42no—
208C2×#137—42no—
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#553—24no—
221#553—42no—
222#552—42no—
223#552—42no—
224C2×#126—21no—
225C2×#126—21no—
226C2×#125—21no—
227C2×#125C2311yescharacteristic
228C2×#125C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#124C2311yescharacteristic
231#525—42no—
232#525—42no—
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—24no—
241C2×C22⋊Q8—42no—
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120D411yescharacteristic
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4—21no—
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117—21no—
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4—21no—
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282#488—42no—
283#485—42no—
284#481—42no—
285#469—42no—
286#468—42no—
287#467—42no—
288#465—42no—
289#464—42no—
290#464—42no—
291#449—42no—
292#435—42no—
293#435—42no—
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#419—42no—
304#417—24no—
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333#407—42no—
334#407—42no—
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×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#400—21no—
350#400—21no—
351#399—21no—
352#399—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#399—21no—
357#398—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#395—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#393—21no—
379#393—21no—
380#393—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#391C2311yescharacteristic
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#389—21no—
404#389—21no—
405#389—21no—
406#389—21no—
407#389—21no—
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#387—21no—
422#387—21no—
423#387—21no—
424#387—21no—
425#387—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386D411yescharacteristic
437#386D411yescharacteristic
438#386D411yescharacteristic
439#385—21no—
440#385—21no—
441#385—21no—
442#385D411yescharacteristic
443#385D411yescharacteristic
444#385D411yescharacteristic
445#384C2311yescharacteristic
446#384C2311yescharacteristic
447#382—21no—
448#382—21no—
449#380—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380—21no—
454#380—21no—
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379D411yescharacteristic
464C4×C4⋊C4—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C2×#95—21no—
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25C2×D411yescharacteristic
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C22×Q8—21no—
513C22×Q8—22no—
514C22×Q8—22no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×Q8C2411yescharacteristic
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4C2×D411yescharacteristic
531C22×D4C2×D411yescharacteristic
532C22×D4C2×D411yescharacteristic
533C22×D4C2411yescharacteristic
534C22×D4C2411yescharacteristic
535C23×C4—21no—
536C23×C4—22no—
537C23×C4—22no—
538C23×C4—21no—
539C23×C4—21no—
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4C2×D411yescharacteristic
548C23×C4C2×D411yescharacteristic
549C23×C4C2×D411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554#137—416no—
555C2×Q16—22no—
556C2×Q16—22no—
557C2×Q16—22no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×Q16—41no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×M16—22no—
574C2×M16—22no—
575C2×M16—22no—
576C2×M16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C2×M16—41no—
585C22×C8—22no—
586C22×C8—41no—
587C22×C8—41no—
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596#126—44no—
597#126—44no—
598#125—22no—
599#125—22no—
600#125—41no—
601#125—41no—
602#125—44no—
603#124—41no—
604#124—41no—
605#124—41no—
606#124—41no—
607#123—44no—
608#123—44no—
609#123—44no—
610#123—44no—
611#123—82no—
612C22⋊Q8—22no—
613C22⋊Q8—22no—
614C22⋊Q8—22no—
615C22⋊Q8—22no—
616C22⋊Q8—22no—
617C22⋊Q8—22no—
618C22⋊Q8—22no—
619C22⋊Q8—22no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—44no—
627C22⋊Q8—44no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632#121—22no—
633#121—22no—
634#121—22no—
635#121—22no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—44no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—82no—
648#120—42no—
649#120—44no—
650#120—44no—
651C4×Q8—22no—
652C4×Q8—41no—
653C4×Q8—41no—
654C4×Q8—41no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—22no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—44no—
664C4×D4—44no—
665C4×D4—44no—
666#117—22no—
667#117—22no—
668#117—22no—
669#117—44no—
670#117—41no—
671#117—41no—
672#117—41no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—22no—
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—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—44no—
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4#4114yes—
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—44no—
759C2×C22⋊C4—82no—
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783#107—41no—
784#107—41no—
785#107—41no—
786#106—22no—
787#106—22no—
788#106—41no—
789C4⋊C8—22no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792#103—22no—
793#103—22no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831#97—41no—
832#97—41no—
833C4×C8—41no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865C24—22no—
866C24—22no—
867C24—21no—
868C24—21no—
869C24—41no—
870C24—41no—
871C24—41no—
872C24—41no—
873C24—41no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878#41—44no—
879#41—44no—
880#41—82no—
881#41—82no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—44no—
900C2×Q8—44no—
901C2×Q8—42no—
902C2×Q8—81no—
903C2×Q8—81no—
904C2×Q8—82no—
905C2×Q8—82no—
906C2×Q8H(5,𝔽2)12yes—
907C2×D4—22no—
908C2×D4—22no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
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—24no—
961C22×C4—22no—
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—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—82no—
1007C22×C4—82no—
1008C22×C4—82no—
1009C22×C4—82no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C2×#4112yes—
1030C22×C4H(5,𝔽2)12yes—
1031C22×C4C2511yescharacteristic
1032Q16—44no—
1033Q16—44no—
1034SD16—44no—
1035SD16—44no—
1036SD16—82no—
1037D8—82no—
1038M16—44no—
1039M16—82no—
1040M16—82no—
1041M16—82no—
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—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—82no—
1066C2×C8H(5,𝔽2)12yes—
1067C4⋊C4—24no—
1068C4⋊C4—24no—
1069C4⋊C4—22no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4C2×#4112yes—
1116C4⋊C4C2×#4112yes—
1117C4⋊C4H(5,𝔽2)12yes—
1118C22⋊C4—24no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—42no—
1175C42—42no—
1176C42—42no—
1177C42—42no—
1178C42—81no—
1179C42—81no—
1180C42—81no—
1181C42—81no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—44no—
1209C23—44no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—82no—
1225C23—82no—
1226C23—82no—
1227C23—82no—
1228C23—82no—
1229C23#54612yes—
1230C23#57512yes—
1231C23C23×D411yescharacteristic
1232Q8—22no—
1233Q8—22no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—84no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—82no—
1254D4—82no—
1255D4—84no—
1256D4—82no—
1257D4—84no—
1258D4—84no—
1259D4—84no—
1260D4—162no—
1261D4—162no—
1262D4—162no—
1263D4—162no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
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—22no—
1283C2×C4—22no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—22no—
1289C2×C4—21no—
1290C2×C4—22no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
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—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—82no—
1352C2×C4—82no—
1353C2×C4—84no—
1354C2×C4—82no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—84no—
1358C2×C4—162no—
1359C2×C4—162no—
1360C2×C4#54612yes—
1361C2×C4C22×#4111yescharacteristic
1362C2×C4C2×H(5,𝔽2)11yescharacteristic
1363C2×C4C2×H(5,𝔽2)11yescharacteristic
1364C2×C4C2×H(5,𝔽2)11yescharacteristic
1365C2×C4C2×H(5,𝔽2)11yescharacteristic
1366C2×C4#58511yescharacteristic
1367C8—22no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C8—41no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
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—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—88no—
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—
1418C22C2×#54611yescharacteristic
1419C22#348411yescharacteristic
1420C22#349611yescharacteristic
1421C22C2×#57511yescharacteristic
1422C22#358511yescharacteristic
1423C22#358611yescharacteristic
1424C22#358611yescharacteristic
1425C4—22no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—42no—
1432C4—41no—
1433C4—41no—
1434C4—42no—
1435C4—41no—
1436C4—41no—
1437C4—42no—
1438C4—42no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4#349411yescharacteristic
1450C4#350811yescharacteristic
1451C4#353211yescharacteristic
1452C4#354211yescharacteristic
1453C2—42no—
1454C2—42no—
1455C2—81no—
1456C2—81no—
1457C2—161no—
1458C2—161no—
1459C2#4388711yescharacteristic
1460C2#6115811yescharacteristic
1461C2#6117711yescharacteristic
1462C2#6157711yescharacteristic
1463C2#6165511yescharacteristic
1464C2#6228511yescharacteristic
1465C2#6229711yescharacteristic
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. #59022C2semidirect
2. #39722C2semidirect
3. #32127C2semidirect
4. #32076C2semidirect
5. #31862C2semidirect
6. #31726C2semidirect
7. #31407C2semidirect
8. #30718C2semidirect
9. #30711C2semidirect
10. #30606C2semidirect
11. #28993C2semidirect
12. #28924C2semidirect
13. #28566C2semidirect
14. #27275C2semidirect
15. #26946C2semidirect
16. #26740C2semidirect
17. #26018C2semidirect
18. #25576C2semidirect
19. #25546C2semidirect
20. #25399C2semidirect
21. #24888C2semidirect
22. #24557C2semidirect
23. #24388C2semidirect
24. #24375C2semidirect
25. #24274C2semidirect
26. #23975C2semidirect
27. #23392C2semidirect
28. #22850C2semidirect
29. #22579C2semidirect
30. #22498C2semidirect
31. #21765C2semidirect
37. C2×#488C22semidirect
39. C2×#485C22semidirect
42. C2×#467C22semidirect
43. C2×#465C22semidirect
44. C2×#464C22semidirect
45. C2×#464C22semidirect
94. #2100C22semidirect
95. #2095C22semidirect
96. #2088C22semidirect
97. #2086C22semidirect
100. #2072C22semidirect
101. #2072C22semidirect
102. #2059C22semidirect
103. #2056C22semidirect
104. #2055C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2036C22semidirect
111. #2035C22semidirect
115. #2026C22semidirect
116. #2026C22semidirect
117. #2025C22semidirect
118. #2012C22semidirect
119. #2012C22semidirect
124. #2001C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
133. #1999C22semidirect
134. #1992C22semidirect
135. #1989C22semidirect
136. #1989C22semidirect
137. #1973C22semidirect
138. #1971C22semidirect
139. #1959C22semidirect
141. #1947C22semidirect
142. #1936C22semidirect
143. #1935C22semidirect
144. #1934C22semidirect
145. #1933C22semidirect
146. #1927C22semidirect
147. #1927C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
152. #1920C22semidirect
153. #1919C22semidirect
162. #1893C22semidirect
163. #1879C22semidirect
164. #1878C22semidirect
165. #1878C22semidirect
166. #1877C22semidirect
168. #1875C22semidirect
169. #1875C22semidirect
171. #1873C22semidirect
172. #1873C22semidirect
180. #1865C22semidirect
181. #1863C22semidirect
186. #1825C22semidirect
192. #1802C22semidirect
196. #1763C22semidirect
197. #1762C22semidirect
198. C4×#103C22semidirect
202. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#590222
#397222
#321272
#320762
#318622
#317262
#314072
#307182
#307112
#306062
#289932
#289242
#285662
#272752
#269462
#267402
#260182
#255762
#255462
#253992
#248882
#245572
#243882
#243752
#242742
#239752
#233922
#228502
#225792
#224982
#217652