Finite Group Databasebeta

← #7080693

Subgroups — #7080693

Order 512.

1781 conjugacy classes of subgroups.

The subgroup lattice has 1426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59272C211yesmaximal, characteristic, complemented
2#59103C211yesmaximal, characteristic, complemented
3#32173C211yesmaximal, characteristic, complemented
4#32127C211yesmaximal, characteristic, complemented
5#31910C211yesmaximal, characteristic, complemented
6#31852C211yesmaximal, characteristic, complemented
7#31819C211yesmaximal, characteristic, complemented
8#31646C211yesmaximal, characteristic, complemented
9#30617C211yesmaximal, characteristic, complemented
10#30523C211yesmaximal, characteristic, complemented
11#27584C211yesmaximal, characteristic, complemented
12#27434C211yesmaximal, characteristic, complemented
13#27272C211yesmaximal, characteristic, complemented
14#27071C211yesmaximal, characteristic, complemented
15#26728C211yesmaximal, characteristic, complemented
16#26437C211yesmaximal, characteristic, complemented
17#26226C211yesmaximal, characteristic, complemented
18#25326C211yesmaximal, characteristic, complemented
19#25136C211yesmaximal, characteristic, complemented
20#25101C211yesmaximal, characteristic, complemented
21#24913C211yesmaximal, characteristic, complemented
22#24643C211yesmaximal, characteristic, complemented
23#24539C211yesmaximal, characteristic, complemented
24#24367C211yesmaximal, characteristic, complemented
25#23936C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic
27#23546C211yesmaximal, characteristic, complemented
28#22868C211yesmaximal, characteristic, complemented
29#22427C211yesmaximal, characteristic, complemented
30#22073C211yesmaximal, characteristic, complemented
31#21890C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#529C2211yescharacteristic
35C2×#488C2211yescharacteristic, complemented
36C2×#468C2211yescharacteristic
37C2×#463C2211yescharacteristic
38C2×#461C2211yescharacteristic, complemented
39C2×#450C2211yescharacteristic, complemented
40C2×#447C2211yescharacteristic
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#442C2211yescharacteristic
44C2×#436C2211yescharacteristic
45C2×#423C2211yescharacteristic, complemented
46C2×#417C2211yescharacteristic
47C2×#418C2211yescharacteristic, complemented
48C2×#418C2211yescharacteristic, complemented
49#2761—21no—
50#2753—21no—
51#2708—21no—
52#2697—21no—
53#2597—21no—
54#2566C2211yescharacteristic, complemented
55#2554—21no—
56#2553—21no—
57#2547C2211yescharacteristic, complemented
58#2513C2211yescharacteristic, complemented
59#2512C2211yescharacteristic, complemented
60#2500C2211yescharacteristic
61#2490C2211yescharacteristic
62#2489C2211yescharacteristic, complemented
63#2480—21no—
64#2480—21no—
65#2470—21no—
66#2454C2211yescharacteristic, complemented
67#2447C2211yescharacteristic, complemented
68#2442C2211yescharacteristic, complemented
69#2435C2211yescharacteristic, complemented
70#2432C2211yescharacteristic
71#2429C2211yescharacteristic, complemented
72#2422C2211yescharacteristic
73#2420—21no—
74#2418—21no—
75#2415C2211yescharacteristic
76#2412—21no—
77#2411—21no—
78#2408C2211yescharacteristic
79#2367C2211yescharacteristic, complemented
80#2363C2211yescharacteristic
81#2363C2211yescharacteristic
82#2357C2211yescharacteristic, complemented
83#2352C2211yescharacteristic
84#2342—21no—
85#2342—21no—
86D4×C22⋊C4C2211yescharacteristic, complemented
87D4×C22⋊C4C2211yescharacteristic, complemented
88C4×#123C2211yescharacteristic
89#2297C2211yescharacteristic
90C2×#390C2211yescharacteristic, complemented
91#2285C2211yescharacteristic, complemented
92#2101C2211yescharacteristic, complemented
93#2101C2211yescharacteristic, complemented
94#2095C2211yescharacteristic, complemented
95#2094C2211yescharacteristic, complemented
96#2086C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2074C2211yescharacteristic, complemented
99#2073C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic
113#2054C2211yescharacteristic
114#2054C2211yescharacteristic
115#2043C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2026C2211yescharacteristic, complemented
120#2025C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2013C2211yescharacteristic, complemented
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#1989C2211yescharacteristic, complemented
133#1989C2211yescharacteristic, complemented
134#1989C2211yescharacteristic, complemented
135#1983C2211yescharacteristic, complemented
136#1983C2211yescharacteristic, complemented
137#1983C2211yescharacteristic, complemented
138#1970C2211yescharacteristic
139#1968C2211yescharacteristic, complemented
140#1960C2211yescharacteristic, complemented
141#1958C2211yescharacteristic, complemented
142#1940C2211yescharacteristic, complemented
143#1939C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1934C2211yescharacteristic, complemented
147#1933C2211yescharacteristic, complemented
148#1927C2211yescharacteristic, complemented
149#1927C2211yescharacteristic, complemented
150#1927C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1916C2211yescharacteristic, complemented
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1894C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1877C2211yescharacteristic, complemented
176#1874C2211yescharacteristic
177#1873C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1864C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1851C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1817C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220#546—24no—
221#546—42no—
222C2×C4⋊Q8C2311yescharacteristic
223#529—24no—
224#529—42no—
225C2×#126—21no—
226C2×#126—21no—
227C2×#125C2311yescharacteristic
228C2×#125C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×#123D411yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—21no—
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#120—21no—
244C2×#120—21no—
245C2×C4×Q8C2311yescharacteristic
246C2×C4×D4—21no—
247C2×C4×D4C2311yescharacteristic
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×#117—21no—
254C2×#117—21no—
255C2×#117C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C22⋊C4—21no—
259C22×C22⋊C4—21no—
260C22×C22⋊C4—21no—
261C22×C22⋊C4—21no—
262C22×C22⋊C4—21no—
263C22×C42C2311yescharacteristic
264#488—42no—
265#468—42no—
266#463—42no—
267#461—42no—
268#450—42no—
269#447—24no—
270#447—42no—
271#447—42no—
272#442—42no—
273#436—42no—
274C2×#107C2311yescharacteristic
275C2×#107C2311yescharacteristic
276C2×#106C2311yescharacteristic
277C2×#106C2311yescharacteristic
278#423—42no—
279C2×C4⋊C8C2311yescharacteristic
280C2×C4⋊C8C2311yescharacteristic
281C2×C4⋊C8C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284C2×C4⋊C8C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286#418—42no—
287#418—42no—
288#417—42no—
289C2×#103C2311yescharacteristic
290C2×#103C2311yescharacteristic
291C2×#103C2311yescharacteristic
292C2×#103C2311yescharacteristic
293C2×#103C2311yescharacteristic
294C2×#103C2311yescharacteristic
295C2×#103C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#103C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
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
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×#97C2311yescharacteristic
327C2×C4×C8C2311yescharacteristic
328C2×C4×C8C2311yescharacteristic
329#400—21no—
330#400—21no—
331#399—21no—
332#398—21no—
333#398—21no—
334#397—21no—
335#397—21no—
336#397—21no—
337#397—21no—
338#397—21no—
339#397—21no—
340#397—21no—
341#397—21no—
342#397—21no—
343#397—21no—
344#397—21no—
345#396—21no—
346#396—21no—
347#396—21no—
348#396—21no—
349#396—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#392—21no—
361#391C2311yescharacteristic
362#391C2311yescharacteristic
363#391C2311yescharacteristic
364#391C2311yescharacteristic
365#390—21no—
366#390—21no—
367#390—21no—
368#390—21no—
369#390—21no—
370#390C2311yescharacteristic
371#390C2311yescharacteristic
372#390C2311yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#389—21no—
383#389—21no—
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#388—21no—
389#388—21no—
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#388—21no—
401#388—21no—
402#388—21no—
403#388—21no—
404#388D411yescharacteristic
405#388D411yescharacteristic
406#387—21no—
407#387D411yescharacteristic
408#387D411yescharacteristic
409#386—21no—
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386D411yescharacteristic
419#385—21no—
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#384C2311yescharacteristic
430#384C2311yescharacteristic
431#382—21no—
432#382—21no—
433#382C2311yescharacteristic
434#382C2311yescharacteristic
435#381—21no—
436#381—21no—
437#381D411yescharacteristic
438#380—21no—
439#380—21no—
440#380—21no—
441#380—21no—
442#380—21no—
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#379—21no—
448#379—21no—
449#379—21no—
450#379—21no—
451#379—21no—
452C4×C4⋊C4—21no—
453C4×C4⋊C4C2311yescharacteristic
454C4×C4⋊C4C2311yescharacteristic
455C4×C4⋊C4C2311yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C22⋊C4—21no—
460C4×C22⋊C4—21no—
461C4×C22⋊C4—21no—
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499C25—21no—
500C25—21no—
501C2×#41—22no—
502C2×#41—22no—
503C2×#41—22no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C22×Q8C2411yescharacteristic
508C22×Q8C2411yescharacteristic
509C22×D4—21no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4C2×D411yescharacteristic
528C22×D4C2411yescharacteristic
529C22×D4C2411yescharacteristic
530C22×D4C2411yescharacteristic
531C22×D4C2411yescharacteristic
532C23×C4—21no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4C2×D411yescharacteristic
540C23×C4C2×D411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543AGL(1,ℤ/8)—416no—
544C2×SD16—22no—
545C2×SD16—22no—
546C2×SD16—41no—
547C2×SD16—41no—
548C2×SD16—41no—
549C2×SD16—41no—
550C2×SD16—41no—
551C2×SD16—41no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×SD16—41no—
556C2×D8—22no—
557C2×D8—22no—
558C2×D8—22no—
559C2×D8—22no—
560C2×D8—22no—
561C2×D8—22no—
562C2×D8—41no—
563C2×D8—41no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×M16—22no—
569C2×M16—22no—
570C2×M16—41no—
571C2×M16—41no—
572C2×M16—41no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C4⋊Q8—41no—
586C4⋊Q8—41no—
587#126—44no—
588#126—82no—
589#125—22no—
590#125—41no—
591#125—41no—
592#125—41no—
593#124—22no—
594#124—22no—
595#124—22no—
596#124—41no—
597#124—41no—
598#124—41no—
599#123—42no—
600#123—44no—
601#123—44no—
602#123—82no—
603C22⋊Q8—22no—
604C22⋊Q8—22no—
605C22⋊Q8—22no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—41no—
609#121—22no—
610#121—22no—
611#121—44no—
612#121—41no—
613#121—41no—
614#121—41no—
615#121#4114yes—
616#120—44no—
617#120—82no—
618C4×Q8—22no—
619C4×Q8—41no—
620C4×D4—22no—
621C4×D4—22no—
622C4×D4—22no—
623C4×D4—22no—
624C4×D4—22no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—41no—
629C4×D4—41no—
630C4×D4—41no—
631C4×D4—41no—
632C4×D4—44no—
633#117—44no—
634#117—41no—
635#117—41no—
636#117—41no—
637#117—41no—
638#117—82no—
639C2×C4⋊C4—21no—
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—41no—
659C2×C4⋊C4—41no—
660C2×C4⋊C4C2×D411yescharacteristic
661C2×C4⋊C4C2×D411yescharacteristic
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2×D411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
676C2×C22⋊C4—21no—
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
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—44no—
724C2×C22⋊C4—44no—
725C2×C22⋊C4—82no—
726C2×C22⋊C4—82no—
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×C42—22no—
736C2×C42—22no—
737C2×C42—21no—
738C2×C42—21no—
739C2×C42—21no—
740C2×C42—21no—
741C2×C42—21no—
742C2×C42—21no—
743C2×C42—21no—
744C2×C42C2×D411yescharacteristic
745C2×C42C2×D411yescharacteristic
746C2×C42C2411yescharacteristic
747C2×C42C2411yescharacteristic
748C2×C42C2411yescharacteristic
749C2×C42C2411yescharacteristic
750C2×C42C2411yescharacteristic
751#107—41no—
752#107—41no—
753#106—41no—
754#106—41no—
755C4⋊C8—41no—
756C4⋊C8—41no—
757C4⋊C8—41no—
758C4⋊C8—41no—
759C4⋊C8—41no—
760C4⋊C8—41no—
761C4⋊C8—41no—
762#103—41no—
763#103—41no—
764#103—41no—
765#103—41no—
766#103—41no—
767#103—41no—
768#103—41no—
769#103—41no—
770#103—41no—
771#103—41no—
772#103—41no—
773#103—41no—
774#102—22no—
775#102—22no—
776#102—22no—
777#102—22no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794C22⋊C8—22no—
795C22⋊C8—22no—
796C22⋊C8—41no—
797C22⋊C8—41no—
798C22⋊C8—41no—
799#97—41no—
800C4×C8—41no—
801C4×C8—41no—
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#95—21no—
826#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829#95C2×D411yescharacteristic
830#95C2×D411yescharacteristic
831#95C2×D411yescharacteristic
832#95C2×D411yescharacteristic
833#95C2×D411yescharacteristic
834#95C2×D411yescharacteristic
835#95C2×D411yescharacteristic
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—42no—
841C24—42no—
842C24—42no—
843C24—42no—
844C24—42no—
845C24—42no—
846C24—42no—
847C24—81no—
848C24—81no—
849C24—81no—
850C24—81no—
851C24—81no—
852C24—81no—
853C24—81no—
854C24C22×D411yescharacteristic
855C24C22×D411yescharacteristic
856#41—44no—
857#41—44no—
858#41—82no—
859#41—82no—
860C2×Q8—21no—
861C2×Q8—21no—
862C2×Q8—21no—
863C2×Q8—21no—
864C2×Q8—21no—
865C2×Q8—21no—
866C2×Q8—21no—
867C2×Q8—21no—
868C2×Q8—21no—
869C2×Q8—21no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×D4—22no—
873C2×D4—24no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—41no—
898C2×D4—41no—
899C2×D4—42no—
900C2×D4—42no—
901C2×D4—42no—
902C2×D4—44no—
903C2×D4—42no—
904C2×D4—42no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—82no—
908C2×D4—82no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—82no—
912C2×D4—82no—
913C2×D4—82no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4C2×#4112yes—
923C2×D4H(5,𝔽2)12yes—
924C2×D4H(5,𝔽2)12yes—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—22no—
930C22×C4—21no—
931C22×C4—22no—
932C22×C4—22no—
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—41no—
951C22×C4—41no—
952C22×C4—41no—
953C22×C4—42no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4—81no—
962C22×C4—81no—
963C22×C4—81no—
964C22×C4—81no—
965C22×C4—81no—
966C22×C4—81no—
967C22×C4—81no—
968C22×C4—81no—
969C22×C4—81no—
970C22×C4—81no—
971C22×C4—81no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4C22×D411yescharacteristic
975C22×C4C22×D411yescharacteristic
976C22×C4C22×D411yescharacteristic
977C22×C4C22×D411yescharacteristic
978C22×C4C22×D411yescharacteristic
979C22×C4C22×D411yescharacteristic
980C22×C4C22×D411yescharacteristic
981C22×C4C22×D411yescharacteristic
982C22×C4C22×D411yescharacteristic
983C22×C4C22×D411yescharacteristic
984C22×C4C22×D411yescharacteristic
985C22×C4C22×D411yescharacteristic
986C22×C4C2×#4112yes—
987C22×C4H(5,𝔽2)12yes—
988C22×C4C2511yescharacteristic
989SD16—44no—
990SD16—44no—
991SD16—82no—
992SD16—82no—
993D8—44no—
994D8—44no—
995D8—44no—
996D8—82no—
997M16—44no—
998M16—82no—
999M16—82no—
1000C2×C8—21no—
1001C2×C8—21no—
1002C2×C8—21no—
1003C2×C8—21no—
1004C2×C8—21no—
1005C2×C8—21no—
1006C2×C8—21no—
1007C2×C8—21no—
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—
1024C4⋊C4—22no—
1025C4⋊C4—22no—
1026C4⋊C4—21no—
1027C4⋊C4—21no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—21no—
1031C4⋊C4—21no—
1032C4⋊C4—21no—
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—41no—
1046C4⋊C4—41no—
1047C4⋊C4—41no—
1048C4⋊C4—42no—
1049C4⋊C4—42no—
1050C4⋊C4—42no—
1051C4⋊C4—42no—
1052C4⋊C4—42no—
1053C4⋊C4—42no—
1054C4⋊C4—81no—
1055C4⋊C4—81no—
1056C4⋊C4—81no—
1057C4⋊C4—81no—
1058C4⋊C4—81no—
1059C4⋊C4—81no—
1060C4⋊C4—81no—
1061C4⋊C4—81no—
1062C4⋊C4—81no—
1063C4⋊C4—81no—
1064C4⋊C4—81no—
1065C4⋊C4—81no—
1066C4⋊C4—81no—
1067C4⋊C4C2×#4112yes—
1068C22⋊C4—22no—
1069C22⋊C4—24no—
1070C22⋊C4—22no—
1071C22⋊C4—22no—
1072C22⋊C4—41no—
1073C22⋊C4—41no—
1074C22⋊C4—41no—
1075C22⋊C4—41no—
1076C22⋊C4—41no—
1077C22⋊C4—42no—
1078C22⋊C4—42no—
1079C22⋊C4—42no—
1080C22⋊C4—42no—
1081C22⋊C4—42no—
1082C22⋊C4—42no—
1083C22⋊C4—42no—
1084C22⋊C4—42no—
1085C22⋊C4—42no—
1086C22⋊C4—42no—
1087C22⋊C4—42no—
1088C22⋊C4—42no—
1089C22⋊C4—42no—
1090C22⋊C4—42no—
1091C22⋊C4—42no—
1092C22⋊C4—42no—
1093C22⋊C4—42no—
1094C22⋊C4—42no—
1095C22⋊C4—42no—
1096C22⋊C4—42no—
1097C22⋊C4—42no—
1098C22⋊C4—42no—
1099C22⋊C4—42no—
1100C22⋊C4—81no—
1101C22⋊C4—81no—
1102C22⋊C4—81no—
1103C22⋊C4—81no—
1104C22⋊C4—81no—
1105C22⋊C4—81no—
1106C22⋊C4—81no—
1107C22⋊C4—81no—
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—
1123C42—22no—
1124C42—22no—
1125C42—21no—
1126C42—21no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—21no—
1132C42—21no—
1133C42—21no—
1134C42—21no—
1135C42—42no—
1136C42—81no—
1137C42—81no—
1138C42—81no—
1139C42—81no—
1140C42—81no—
1141C42—81no—
1142C23—21no—
1143C23—21no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—22no—
1152C23—21no—
1153C23—22no—
1154C23—22no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—84no—
1184C23—84no—
1185C23—84no—
1186C23—84no—
1187C23—84no—
1188C23—84no—
1189C23—84no—
1190C23—162no—
1191C23—162no—
1192C23—162no—
1193C23—162no—
1194C23—162no—
1195C23—162no—
1196C23—162no—
1197C23#54612yes—
1198C23C23×D411yescharacteristic
1199Q8—41no—
1200Q8—41no—
1201Q8—41no—
1202Q8—41no—
1203Q8—41no—
1204Q8—41no—
1205Q8—41no—
1206Q8—41no—
1207D4—22no—
1208D4—22no—
1209D4—22no—
1210D4—22no—
1211D4—22no—
1212D4—22no—
1213D4—41no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—41no—
1221D4—41no—
1222D4—41no—
1223D4—84no—
1224D4—82no—
1225D4—84no—
1226D4—84no—
1227D4—84no—
1228D4—162no—
1229D4—162no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—21no—
1239C2×C4—21no—
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—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—22no—
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—44no—
1270C2×C4—41no—
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—84no—
1310C2×C4—84no—
1311C2×C4—82no—
1312C2×C4—162no—
1313C2×C4—162no—
1314C2×C4—162no—
1315C2×C4—162no—
1316C2×C4—162no—
1317C2×C4#54612yes—
1318C2×C4#57512yes—
1319C2×C4C22×#4111yescharacteristic
1320C2×C4C2×H(5,𝔽2)11yescharacteristic
1321C2×C4C2×H(5,𝔽2)11yescharacteristic
1322C2×C4C2×H(5,𝔽2)11yescharacteristic
1323C2×C4#58511yescharacteristic
1324C2×C4#58511yescharacteristic
1325C8—41no—
1326C8—41no—
1327C8—41no—
1328C8—41no—
1329C8—41no—
1330C8—41no—
1331C8—41no—
1332C8—41no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—42no—
1341C22—41no—
1342C22—41no—
1343C22—42no—
1344C22—41no—
1345C22—42no—
1346C22—41no—
1347C22—42no—
1348C22—42no—
1349C22—41no—
1350C22—41no—
1351C22—42no—
1352C22—42no—
1353C22—42no—
1354C22—42no—
1355C22—41no—
1356C22—81no—
1357C22—81no—
1358C22—81no—
1359C22—81no—
1360C22—81no—
1361C22—81no—
1362C22—81no—
1363C22—81no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—168no—
1376C22—168no—
1377C22C2×#54611yescharacteristic
1378C22#348811yescharacteristic
1379C22#348811yescharacteristic
1380C22C2×#57511yescharacteristic
1381C22#358411yescharacteristic
1382C22#358511yescharacteristic
1383C22#358511yescharacteristic
1384C4—22no—
1385C4—22no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—42no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—81no—
1398C4—81no—
1399C4—81no—
1400C4—81no—
1401C4—81no—
1402C4—81no—
1403C4—81no—
1404C4—81no—
1405C4—81no—
1406C4—81no—
1407C4—81no—
1408C4#351311yescharacteristic
1409C4#351311yescharacteristic
1410C4#353211yescharacteristic
1411C4#354511yescharacteristic
1412C2—42no—
1413C2—81no—
1414C2—82no—
1415C2—82no—
1416C2—82no—
1417C2—161no—
1418C2#4400111yescharacteristic
1419C2#6116411yescharacteristic
1420C2#6118711yescharacteristic
1421C2#6196811yescharacteristic
1422C2#6200411yescharacteristic
1423C2#6204711yescharacteristic
1424C2#6207511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23861C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59272C2semidirect
2. #59103C2semidirect
3. #32173C2semidirect
4. #32127C2semidirect
5. #31910C2semidirect
6. #31852C2semidirect
7. #31819C2semidirect
8. #31646C2semidirect
9. #30617C2semidirect
10. #30523C2semidirect
11. #27584C2semidirect
12. #27434C2semidirect
13. #27272C2semidirect
14. #27071C2semidirect
15. #26728C2semidirect
16. #26437C2semidirect
17. #26226C2semidirect
18. #25326C2semidirect
19. #25136C2semidirect
20. #25101C2semidirect
21. #24913C2semidirect
22. #24643C2semidirect
23. #24539C2semidirect
24. #24367C2semidirect
25. #23936C2semidirect
27. #23546C2semidirect
28. #22868C2semidirect
29. #22427C2semidirect
30. #22073C2semidirect
31. #21890C2semidirect
35. C2×#488C22semidirect
38. C2×#461C22semidirect
39. C2×#450C22semidirect
45. C2×#423C22semidirect
47. C2×#418C22semidirect
48. C2×#418C22semidirect
54. #2566C22semidirect
57. #2547C22semidirect
58. #2513C22semidirect
59. #2512C22semidirect
62. #2489C22semidirect
66. #2454C22semidirect
67. #2447C22semidirect
68. #2442C22semidirect
69. #2435C22semidirect
71. #2429C22semidirect
79. #2367C22semidirect
82. #2357C22semidirect
86. D4×C22⋊C4C22semidirect
87. D4×C22⋊C4C22semidirect
90. C2×#390C22semidirect
91. #2285C22semidirect
92. #2101C22semidirect
93. #2101C22semidirect
94. #2095C22semidirect
95. #2094C22semidirect
96. #2086C22semidirect
97. #2077C22semidirect
98. #2074C22semidirect
99. #2073C22semidirect
100. #2072C22semidirect
101. #2071C22semidirect
102. #2067C22semidirect
103. #2067C22semidirect
104. #2055C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
109. #2055C22semidirect
115. #2043C22semidirect
116. #2042C22semidirect
117. #2036C22semidirect
119. #2026C22semidirect
120. #2025C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2013C22semidirect
132. #1989C22semidirect
133. #1989C22semidirect
134. #1989C22semidirect
135. #1983C22semidirect
136. #1983C22semidirect
137. #1983C22semidirect
139. #1968C22semidirect
140. #1960C22semidirect
141. #1958C22semidirect
142. #1940C22semidirect
143. #1939C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1934C22semidirect
147. #1933C22semidirect
148. #1927C22semidirect
149. #1927C22semidirect
150. #1927C22semidirect
151. #1926C22semidirect
152. #1925C22semidirect
153. #1925C22semidirect
154. #1924C22semidirect
155. #1923C22semidirect
156. #1921C22semidirect
157. #1920C22semidirect
158. #1916C22semidirect
159. #1916C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
165. #1894C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
175. #1877C22semidirect
177. #1873C22semidirect
178. #1873C22semidirect
179. #1872C22semidirect
181. #1864C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1851C22semidirect
186. #1851C22semidirect
187. #1851C22semidirect
188. #1825C22semidirect
189. #1817C22semidirect
190. #1804C22semidirect
191. #1804C22semidirect
192. #1803C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1802C22semidirect
198. #1786C22semidirect
199. C4×#102C22semidirect
200. C4×#102C22semidirect
201. #1753C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#592722
#591032
#321732
#321272
#319102
#318522
#318192
#316462
#306172
#305232
#275842
#274342
#272722
#270712
#267282
#264372
#262262
#253262
#251362
#251012
#249132
#246432
#245392
#243672
#239362
#238612
#235462
#228682
#224272
#220732
#218902