Finite Group Databasebeta

← #7326049

Subgroups — #7326049

Order 512.

1723 conjugacy classes of subgroups.

The subgroup lattice has 1448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59028C211yesmaximal, characteristic, complemented
2#45598C211yesmaximal, characteristic, complemented
3#32223C211yesmaximal, characteristic, complemented
4#31961C211yesmaximal, characteristic, complemented
5#31948C211yesmaximal, characteristic, complemented
6#31785C211yesmaximal, characteristic, complemented
7#31714C211yesmaximal, characteristic, complemented
8#31404C211yesmaximal, characteristic, complemented
9#31032C211yesmaximal, characteristic, complemented
10#30708C211yesmaximal, characteristic, complemented
11#30637C211yesmaximal, characteristic, complemented
12#30615C211yesmaximal, characteristic, complemented
13#30583C211yesmaximal, characteristic, complemented
14#30408C211yesmaximal, characteristic, complemented
15#29897C211yesmaximal, characteristic, complemented
16#29592C211yesmaximal, characteristic, complemented
17#28926C211yesmaximal, characteristic, complemented
18#28857C211yesmaximal, characteristic, complemented
19#28152C211yesmaximal, characteristic, complemented
20#27518C211yesmaximal, characteristic, complemented
21#26686C211yesmaximal, characteristic, complemented
22#26565C211yesmaximal, characteristic, complemented
23#26126C211yesmaximal, characteristic, complemented
24#25575C211yesmaximal, characteristic, complemented
25#25172C211yesmaximal, characteristic, complemented
26#24979C211yesmaximal, characteristic, complemented
27#24787C211yesmaximal, characteristic, complemented
28#24560C211yesmaximal, characteristic, complemented
29#24385C211yesmaximal, characteristic, complemented
30#24092C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C2×#488C2211yescharacteristic, complemented
35C2×#481C2211yescharacteristic, complemented
36C2×#482C2211yescharacteristic, complemented
37C2×#480C2211yescharacteristic
38C2×#468C2211yescharacteristic
39C2×#468C2211yescharacteristic
40C2×#465C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic, complemented
42C2×#450C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#442C2211yescharacteristic, complemented
45C2×#435C2211yescharacteristic, complemented
46C22×#107C2211yescharacteristic, complemented
47C2×#407C2211yescharacteristic
48#2848C2211yescharacteristic
49#2847C2211yescharacteristic
50#2827—21no—
51#2778—21no—
52#2748—21no—
53#2746—21no—
54#2701—21no—
55#2691—21no—
56#2688—21no—
57#2685—21no—
58#2668—21no—
59#2559—21no—
60#2540C2211yescharacteristic, complemented
61#2537C2211yescharacteristic, complemented
62#2536C2211yescharacteristic
63#2535C2211yescharacteristic
64#2500C2211yescharacteristic
65#2496C2211yescharacteristic
66#2494C2211yescharacteristic, complemented
67#2490C2211yescharacteristic
68#2487C2211yescharacteristic, complemented
69#2480—21no—
70#2464—21no—
71#2442C2211yescharacteristic
72#2427C2211yescharacteristic
73#2426C2211yescharacteristic, complemented
74#2423C2211yescharacteristic, complemented
75#2422C2211yescharacteristic
76#2420C2211yescharacteristic, complemented
77#2417C2211yescharacteristic, complemented
78#2416C2211yescharacteristic
79#2416C2211yescharacteristic
80#2414C2211yescharacteristic
81#2408—21no—
82#2408C2211yescharacteristic
83#2405—21no—
84#2377—21no—
85#2363C2211yescharacteristic
86#2358—21no—
87D4×C4⋊C4C2211yescharacteristic
88D4×C22⋊C4C2211yescharacteristic
89C4×#120C2211yescharacteristic
90#2280C2211yescharacteristic
91#2100C2211yescharacteristic, complemented
92#2097C2211yescharacteristic, complemented
93#2093C2211yescharacteristic, complemented
94#2092C2211yescharacteristic, complemented
95#2087C2211yescharacteristic, complemented
96#2085C2211yescharacteristic, complemented
97#2083C2211yescharacteristic, complemented
98#2077C2211yescharacteristic
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2075C2211yescharacteristic
104#2075C2211yescharacteristic
105#2073C2211yescharacteristic, complemented
106#2071C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2067C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2059C2211yescharacteristic, complemented
112#2059C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2035C2211yescharacteristic
119#2035C2211yescharacteristic, complemented
120#2034C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic, complemented
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1989C2211yescharacteristic, complemented
140#1973C2211yescharacteristic, complemented
141#1972C2211yescharacteristic, complemented
142#1955C2211yescharacteristic
143#1954C2211yescharacteristic, complemented
144#1949C2211yescharacteristic, complemented
145#1943C2211yescharacteristic, complemented
146#1942C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1934C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1925C2211yescharacteristic, complemented
151#1924C2211yescharacteristic
152#1924C2211yescharacteristic, complemented
153#1924C2211yescharacteristic, complemented
154#1923C2211yescharacteristic
155#1919C2211yescharacteristic, complemented
156#1918C2211yescharacteristic, complemented
157#1895C2211yescharacteristic
158#1895C2211yescharacteristic
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1874C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1873C2211yescharacteristic, complemented
171#1873C2211yescharacteristic, complemented
172#1872C2211yescharacteristic
173#1872C2211yescharacteristic, complemented
174#1870C2211yescharacteristic, complemented
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic, complemented
177#1862C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1862C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1854C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1852C2211yescharacteristic
185#1852C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1836C2211yescharacteristic, complemented
188#1836C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1823C2211yescharacteristic
192#1809C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1803C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1779C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C23×C8C2311yescharacteristic
213#553—42no—
214#553—42no—
215C2×#126—21no—
216C2×#126—21no—
217C2×#125C2311yescharacteristic
218C2×#124C2311yescharacteristic
219C2×#123—21no—
220C2×#123—21no—
221C2×C22⋊Q8C2311yescharacteristic
222C2×C22⋊Q8C2311yescharacteristic
223C2×C22⋊Q8C2311yescharacteristic
224C2×C22⋊Q8C2311yescharacteristic
225C2×#121—21no—
226C2×#121—21no—
227C2×#121—21no—
228C2×#121—21no—
229C2×#121—21no—
230C2×#121—21no—
231C2×#121—42no—
232C2×#121—42no—
233C2×#121C2311yescharacteristic
234C2×#121C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#120—21no—
244C2×#120—21no—
245C2×#120D411yescharacteristic
246C2×C4×Q8C2311yescharacteristic
247C2×C4×D4—21no—
248C2×C4×D4—21no—
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×#117C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C22⋊C4—21no—
261C22×C22⋊C4—21no—
262#488—42no—
263#482—42no—
264#481—42no—
265#480—42no—
266#468—42no—
267#468—42no—
268#465—42no—
269#463—42no—
270#450—42no—
271#447—42no—
272#442—42no—
273#435—42no—
274C2×#107—42no—
275C2×#107C2311yescharacteristic
276C2×#107C2311yescharacteristic
277C2×#107C2311yescharacteristic
278C2×#107C2311yescharacteristic
279C2×#107C2311yescharacteristic
280C2×#107C2311yescharacteristic
281C2×#107C2311yescharacteristic
282C2×#107C2311yescharacteristic
283C2×#106C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×#106C2311yescharacteristic
287C2×C4⋊C8C2311yescharacteristic
288C2×C4⋊C8C2311yescharacteristic
289C2×C4⋊C8C2311yescharacteristic
290C2×#103C2311yescharacteristic
291C2×#103C2311yescharacteristic
292C2×#103C2311yescharacteristic
293C2×#103C2311yescharacteristic
294C2×#103C2311yescharacteristic
295C2×#103C2311yescharacteristic
296C2×#102C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314#407—42no—
315C2×C22⋊C8C2311yescharacteristic
316C2×C22⋊C8C2311yescharacteristic
317C2×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×#97C2311yescharacteristic
329C2×#97C2311yescharacteristic
330C2×C4×C8C2311yescharacteristic
331#401—21no—
332#400—21no—
333#400—21no—
334#400—21no—
335#399—21no—
336#399—21no—
337#399—21no—
338#398—21no—
339#398—21no—
340#398—21no—
341#398—21no—
342#397—21no—
343#397—21no—
344#397—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#396—21no—
350#396—21no—
351#396—21no—
352#396—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#392—21no—
368#392—21no—
369#392—21no—
370#392—21no—
371#391C2311yescharacteristic
372#390—21no—
373#390—21no—
374#390—21no—
375#390—21no—
376#390—21no—
377#390—21no—
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#389—21no—
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#389C2311yescharacteristic
389#389C2311yescharacteristic
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#387—21no—
401#387—21no—
402#387—21no—
403#386—21no—
404#386—21no—
405#386—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#386D411yescharacteristic
418#386D411yescharacteristic
419#386D411yescharacteristic
420#385—21no—
421#385—21no—
422#385—21no—
423#385—21no—
424#385—21no—
425#385—21no—
426#385—21no—
427#385—21no—
428#385D411yescharacteristic
429#385D411yescharacteristic
430#385D411yescharacteristic
431#384C2311yescharacteristic
432#384C2311yescharacteristic
433#382C2311yescharacteristic
434#382C2311yescharacteristic
435#381—21no—
436#381—21no—
437#380—21no—
438#380—21no—
439#380—21no—
440#380—21no—
441#380C2311yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#379—21no—
454#379—21no—
455#379—21no—
456#379—21no—
457#379D411yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4—21no—
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
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
496C25—21no—
497C25C2×D411yescharacteristic
498C22×Q8C2411yescharacteristic
499C22×D4—21no—
500C22×D4—22no—
501C22×D4—21no—
502C22×D4—21no—
503C22×D4—21no—
504C22×D4—21no—
505C22×D4—21no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—44no—
517C22×D4—82no—
518C22×D4—82no—
519C22×D4C2×D411yescharacteristic
520C22×D4C2×D411yescharacteristic
521C22×D4C2×D411yescharacteristic
522C22×D4C2411yescharacteristic
523C22×D4C2411yescharacteristic
524C22×D4C2411yescharacteristic
525C23×C4—21no—
526C23×C4—21no—
527C23×C4—21no—
528C23×C4—21no—
529C23×C4—21no—
530C23×C4—21no—
531C23×C4—41no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4C2×D411yescharacteristic
538C23×C4C2×D411yescharacteristic
539C23×C4C2×D411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C2×SD16—22no—
545C2×SD16—22no—
546C2×SD16—41no—
547C2×SD16—41no—
548C2×SD16—41no—
549C2×SD16—41no—
550C2×D8—22no—
551C2×D8—41no—
552C2×D8—41no—
553C2×D8—41no—
554C2×D8—41no—
555C2×D8—41no—
556C2×M16—22no—
557C2×M16—41no—
558C2×M16—41no—
559C2×M16—41no—
560C2×M16—41no—
561C2×M16—41no—
562C22×C8—22no—
563C22×C8—41no—
564C22×C8—41no—
565C22×C8C2411yescharacteristic
566C22×C8C2411yescharacteristic
567C22×C8C2411yescharacteristic
568C22×C8C2411yescharacteristic
569C22×C8C2411yescharacteristic
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573#126—44no—
574#126—82no—
575#125—22no—
576#125—41no—
577#124—41no—
578#124—41no—
579#123—44no—
580#123—82no—
581C22⋊Q8—41no—
582C22⋊Q8—41no—
583C22⋊Q8—41no—
584C22⋊Q8—41no—
585C22⋊Q8—41no—
586C22⋊Q8—41no—
587C22⋊Q8—41no—
588C22⋊Q8—41no—
589#121—22no—
590#121—22no—
591#121—22no—
592#121—22no—
593#121—22no—
594#121—44no—
595#121—41no—
596#121—41no—
597#121—41no—
598#121—41no—
599#121—41no—
600#121—44no—
601#121—44no—
602#121—44no—
603#121—41no—
604#121—41no—
605#121—41no—
606#121—41no—
607#121—41no—
608#121—41no—
609#121—41no—
610#121—41no—
611#121—41no—
612#121—41no—
613#121—82no—
614#121—82no—
615#120—42no—
616#120—44no—
617#120—82no—
618C4×Q8—41no—
619C4×Q8—41no—
620C4×D4—22no—
621C4×D4—41no—
622C4×D4—41no—
623C4×D4—41no—
624C4×D4—41no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—41no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—44no—
633C4×D4—82no—
634#117—41no—
635#117—41no—
636#117—41no—
637#117—41no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—22no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—21no—
647C2×C4⋊C4—21no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—21no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—41no—
661C2×C4⋊C4—41no—
662C2×C4⋊C4—41no—
663C2×C4⋊C4—41no—
664C2×C4⋊C4C2×D411yescharacteristic
665C2×C4⋊C4C2×D411yescharacteristic
666C2×C4⋊C4C2×D411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C4⋊C4C2411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—44no—
723C2×C22⋊C4—82no—
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C22⋊C4C2×D411yescharacteristic
727C2×C22⋊C4C2×D411yescharacteristic
728C2×C22⋊C4C2×D411yescharacteristic
729C2×C22⋊C4C2×D411yescharacteristic
730C2×C22⋊C4C2×D411yescharacteristic
731C2×C22⋊C4C2×D411yescharacteristic
732C2×C22⋊C4C2×D411yescharacteristic
733C2×C22⋊C4C2×D411yescharacteristic
734C2×C22⋊C4C2×D411yescharacteristic
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C42—21no—
737C2×C42—21no—
738C2×C42—21no—
739C2×C42—21no—
740C2×C42—21no—
741C2×C42C2411yescharacteristic
742C2×C42C2411yescharacteristic
743C2×C42C2411yescharacteristic
744#107—22no—
745#107—22no—
746#107—41no—
747#107—41no—
748#107—41no—
749#107—41no—
750#107—41no—
751#107—41no—
752#106—22no—
753#106—41no—
754#106—41no—
755#106—41no—
756C4⋊C8—41no—
757C4⋊C8—41no—
758C4⋊C8—41no—
759#103—22no—
760#103—41no—
761#103—41no—
762#103—41no—
763#103—41no—
764#103—41no—
765#102—22no—
766#102—22no—
767#102—22no—
768#102—22no—
769#102—22no—
770#102—41no—
771#102—41no—
772#102—41no—
773#102—41no—
774#102—41no—
775#102—41no—
776#102—41no—
777#102—41no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783C22⋊C8—22no—
784C22⋊C8—22no—
785C22⋊C8—41no—
786C22⋊C8—41no—
787C22⋊C8—41no—
788C22⋊C8—41no—
789C22⋊C8—41no—
790C22⋊C8—41no—
791C22⋊C8—41no—
792C22⋊C8—41no—
793C22⋊C8—41no—
794C22⋊C8—41no—
795C22⋊C8—41no—
796#97—22no—
797#97—41no—
798C4×C8—41no—
799#95—21no—
800#95—21no—
801#95—21no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
806#95—21no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95—21no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95C2×D411yescharacteristic
826#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829#95C2×D411yescharacteristic
830#95C2×D411yescharacteristic
831C24—21no—
832C24—22no—
833C24—21no—
834C24—21no—
835C24—41no—
836C24—41no—
837C24—41no—
838C24—41no—
839C24—41no—
840C24—41no—
841C24—42no—
842C24—42no—
843C24—42no—
844C24—42no—
845C24—81no—
846C24—81no—
847C24—81no—
848C24C22×D411yescharacteristic
849C24C22×D411yescharacteristic
850C24C22×D411yescharacteristic
851C24C22×D411yescharacteristic
852C2×Q8—21no—
853C2×Q8—21no—
854C2×Q8—21no—
855C2×Q8—21no—
856C2×Q8—21no—
857C2×Q8—21no—
858C2×D4—22no—
859C2×D4—22no—
860C2×D4—24no—
861C2×D4—22no—
862C2×D4—22no—
863C2×D4—21no—
864C2×D4—21no—
865C2×D4—21no—
866C2×D4—21no—
867C2×D4—21no—
868C2×D4—21no—
869C2×D4—21no—
870C2×D4—21no—
871C2×D4—21no—
872C2×D4—21no—
873C2×D4—21no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—41no—
881C2×D4—41no—
882C2×D4—41no—
883C2×D4—41no—
884C2×D4—41no—
885C2×D4—42no—
886C2×D4—42no—
887C2×D4—42no—
888C2×D4—42no—
889C2×D4—42no—
890C2×D4—42no—
891C2×D4—42no—
892C2×D4—42no—
893C2×D4—42no—
894C2×D4—42no—
895C2×D4—42no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—42no—
899C2×D4—81no—
900C2×D4—82no—
901C2×D4—82no—
902C2×D4—82no—
903C2×D4—82no—
904C2×D4—81no—
905C2×D4—81no—
906C2×D4—81no—
907C2×D4—81no—
908C2×D4—81no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—81no—
912C2×D4—81no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—816no—
922C2×D4H(5,𝔽2)12yes—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—41no—
961C22×C4—41no—
962C22×C4—41no—
963C22×C4—41no—
964C22×C4—41no—
965C22×C4—41no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—41no—
969C22×C4—42no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—42no—
973C22×C4—42no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—82no—
982C22×C4—82no—
983C22×C4—82no—
984C22×C4—82no—
985C22×C4—81no—
986C22×C4—81no—
987C22×C4—81no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C22×D411yescharacteristic
995C22×C4C22×D411yescharacteristic
996C22×C4C22×D411yescharacteristic
997C22×C4C22×D411yescharacteristic
998C22×C4C22×D411yescharacteristic
999C22×C4C22×D411yescharacteristic
1000C22×C4C22×D411yescharacteristic
1001C22×C4C2511yescharacteristic
1002SD16—82no—
1003SD16—82no—
1004D8—44no—
1005D8—82no—
1006M16—82no—
1007M16—82no—
1008C2×C8—21no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—44no—
1032C2×C8H(5,𝔽2)12yes—
1033C4⋊C4—21no—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—21no—
1054C4⋊C4—21no—
1055C4⋊C4—21no—
1056C4⋊C4—41no—
1057C4⋊C4—41no—
1058C4⋊C4—41no—
1059C4⋊C4—42no—
1060C4⋊C4—42no—
1061C4⋊C4—42no—
1062C4⋊C4—42no—
1063C4⋊C4—42no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4—81no—
1068C4⋊C4—81no—
1069C4⋊C4—81no—
1070C4⋊C4—81no—
1071C4⋊C4—81no—
1072C4⋊C4—81no—
1073C4⋊C4—81no—
1074C4⋊C4—81no—
1075C4⋊C4—81no—
1076C4⋊C4—81no—
1077C4⋊C4—81no—
1078C4⋊C4—81no—
1079C4⋊C4H(5,𝔽2)12yes—
1080C22⋊C4—24no—
1081C22⋊C4—22no—
1082C22⋊C4—41no—
1083C22⋊C4—41no—
1084C22⋊C4—41no—
1085C22⋊C4—41no—
1086C22⋊C4—41no—
1087C22⋊C4—41no—
1088C22⋊C4—41no—
1089C22⋊C4—41no—
1090C22⋊C4—41no—
1091C22⋊C4—41no—
1092C22⋊C4—41no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—42no—
1096C22⋊C4—42no—
1097C22⋊C4—42no—
1098C22⋊C4—42no—
1099C22⋊C4—42no—
1100C22⋊C4—42no—
1101C22⋊C4—42no—
1102C22⋊C4—42no—
1103C22⋊C4—42no—
1104C22⋊C4—42no—
1105C22⋊C4—42no—
1106C22⋊C4—42no—
1107C22⋊C4—42no—
1108C22⋊C4—81no—
1109C22⋊C4—81no—
1110C22⋊C4—81no—
1111C22⋊C4—81no—
1112C22⋊C4—81no—
1113C22⋊C4—81no—
1114C22⋊C4—81no—
1115C22⋊C4—81no—
1116C22⋊C4—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C42—21no—
1136C42—21no—
1137C42—21no—
1138C42—21no—
1139C42—21no—
1140C42—21no—
1141C42—42no—
1142C42—81no—
1143C42—81no—
1144C42—81no—
1145C42—81no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—22no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—44no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—82no—
1195C23—82no—
1196C23—84no—
1197C23—84no—
1198C23—82no—
1199C23—82no—
1200C23—82no—
1201C23—82no—
1202C23—84no—
1203C23—84no—
1204C23—162no—
1205C23—162no—
1206C23—162no—
1207C23#57512yes—
1208C23#57612yes—
1209C23C23×D411yescharacteristic
1210Q8—41no—
1211Q8—41no—
1212Q8—41no—
1213Q8—41no—
1214D4—22no—
1215D4—22no—
1216D4—44no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—41no—
1227D4—82no—
1228D4—82no—
1229D4—84no—
1230D4—84no—
1231D4—84no—
1232D4—84no—
1233D4—84no—
1234D4—84no—
1235D4—162no—
1236D4—162no—
1237D4—162no—
1238D4—162no—
1239D4—162no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—22no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
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—82no—
1326C2×C4—82no—
1327C2×C4—82no—
1328C2×C4—84no—
1329C2×C4—162no—
1330C2×C4—162no—
1331C2×C4—162no—
1332C2×C4—162no—
1333C2×C4—162no—
1334C2×C4C2×H(5,𝔽2)11yescharacteristic
1335C2×C4C2×H(5,𝔽2)11yescharacteristic
1336C2×C4C2×H(5,𝔽2)11yescharacteristic
1337C2×C4#58511yescharacteristic
1338C2×C4#58511yescharacteristic
1339C2×C4#58511yescharacteristic
1340C8—22no—
1341C8—41no—
1342C8—41no—
1343C8—41no—
1344C8—41no—
1345C8—41no—
1346C8—41no—
1347C8—41no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—42no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—42no—
1375C22—41no—
1376C22—42no—
1377C22—41no—
1378C22—41no—
1379C22—88no—
1380C22—81no—
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—81no—
1397C22—81no—
1398C22—168no—
1399C22#348411yescharacteristic
1400C22#348511yescharacteristic
1401C22#349611yescharacteristic
1402C22C2×#57511yescharacteristic
1403C22C2×#57611yescharacteristic
1404C22#358511yescharacteristic
1405C22#358611yescharacteristic
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—42no—
1417C4—81no—
1418C4—81no—
1419C4—81no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4—81no—
1427C4—81no—
1428C4—81no—
1429C4#354211yescharacteristic
1430C4#354211yescharacteristic
1431C4#356011yescharacteristic
1432C4#356211yescharacteristic
1433C2—42no—
1434C2—42no—
1435C2—81no—
1436C2—81no—
1437C2—82no—
1438C2—161no—
1439C2—161no—
1440C2#4793011yescharacteristic
1441C2#6158011yescharacteristic
1442C2#6160911yescharacteristic
1443C2#6172711yescharacteristic
1444C2#6178211yescharacteristic
1445C2#6229811yescharacteristic
1446C2#6231111yescharacteristic
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. #59028C2semidirect
2. #45598C2semidirect
3. #32223C2semidirect
4. #31961C2semidirect
5. #31948C2semidirect
6. #31785C2semidirect
7. #31714C2semidirect
8. #31404C2semidirect
9. #31032C2semidirect
10. #30708C2semidirect
11. #30637C2semidirect
12. #30615C2semidirect
13. #30583C2semidirect
14. #30408C2semidirect
15. #29897C2semidirect
16. #29592C2semidirect
17. #28926C2semidirect
18. #28857C2semidirect
19. #28152C2semidirect
20. #27518C2semidirect
21. #26686C2semidirect
22. #26565C2semidirect
23. #26126C2semidirect
24. #25575C2semidirect
25. #25172C2semidirect
26. #24979C2semidirect
27. #24787C2semidirect
28. #24560C2semidirect
29. #24385C2semidirect
30. #24092C2semidirect
31. #22036C2semidirect
34. C2×#488C22semidirect
35. C2×#481C22semidirect
36. C2×#482C22semidirect
40. C2×#465C22semidirect
41. C2×#463C22semidirect
44. C2×#442C22semidirect
45. C2×#435C22semidirect
46. C22×#107C22semidirect
60. #2540C22semidirect
61. #2537C22semidirect
66. #2494C22semidirect
68. #2487C22semidirect
73. #2426C22semidirect
74. #2423C22semidirect
76. #2420C22semidirect
77. #2417C22semidirect
91. #2100C22semidirect
92. #2097C22semidirect
93. #2093C22semidirect
94. #2092C22semidirect
95. #2087C22semidirect
96. #2085C22semidirect
97. #2083C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2076C22semidirect
105. #2073C22semidirect
106. #2071C22semidirect
107. #2068C22semidirect
108. #2067C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2059C22semidirect
112. #2059C22semidirect
113. #2054C22semidirect
114. #2042C22semidirect
116. #2036C22semidirect
117. #2036C22semidirect
119. #2035C22semidirect
128. #2033C22semidirect
129. #2012C22semidirect
132. #2000C22semidirect
137. #1999C22semidirect
138. #1999C22semidirect
139. #1989C22semidirect
140. #1973C22semidirect
141. #1972C22semidirect
143. #1954C22semidirect
144. #1949C22semidirect
145. #1943C22semidirect
146. #1942C22semidirect
147. #1936C22semidirect
148. #1934C22semidirect
149. #1925C22semidirect
150. #1925C22semidirect
152. #1924C22semidirect
153. #1924C22semidirect
155. #1919C22semidirect
156. #1918C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
165. #1879C22semidirect
166. #1877C22semidirect
167. #1875C22semidirect
168. #1874C22semidirect
169. #1874C22semidirect
170. #1873C22semidirect
171. #1873C22semidirect
173. #1872C22semidirect
174. #1870C22semidirect
176. #1869C22semidirect
177. #1862C22semidirect
178. #1862C22semidirect
179. #1862C22semidirect
180. #1862C22semidirect
181. #1854C22semidirect
182. #1854C22semidirect
183. #1854C22semidirect
185. #1852C22semidirect
186. #1851C22semidirect
187. #1836C22semidirect
188. #1836C22semidirect
189. #1825C22semidirect
190. #1824C22semidirect
192. #1809C22semidirect
193. #1809C22semidirect
194. #1804C22semidirect
195. #1803C22semidirect
196. #1802C22semidirect
200. #1763C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect

Maximal subgroups

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

subgroupindex
#590282
#455982
#322232
#319612
#319482
#317852
#317142
#314042
#310322
#307082
#306372
#306152
#305832
#304082
#298972
#295922
#289262
#288572
#281522
#275182
#266862
#265652
#261262
#255752
#251722
#249792
#247872
#245602
#243852
#240922
#220362