Finite Group Databasebeta

← #7589244

Subgroups — #7589244

Order 512.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1425 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59634C211yesmaximal, characteristic, complemented
2D4×#123C211yesmaximal, characteristic, complemented
3#32468C211yesmaximal, characteristic, complemented
4#32072C211yesmaximal, characteristic, complemented
5#32050C211yesmaximal, characteristic, complemented
6#32032C211yesmaximal, characteristic, complemented
7#29482C211yesmaximal, characteristic, complemented
8#29461C211yesmaximal, characteristic, complemented
9#28987C211yesmaximal, characteristic, complemented
10#28975C211yesmaximal, characteristic, complemented
11#27245C211yesmaximal, characteristic, complemented
12#27238C211yesmaximal, characteristic, complemented
13#27229C211yesmaximal, characteristic, complemented
14#27222C211yesmaximal, characteristic, complemented
15#26705C211yesmaximal, characteristic, complemented
16#26697C211yesmaximal, characteristic, complemented
17#26563C211yesmaximal, characteristic, complemented
18#26551C211yesmaximal, characteristic, complemented
19#26268C211yesmaximal, characteristic, complemented
20#26257C211yesmaximal, characteristic, complemented
21#26180C211yesmaximal, characteristic, complemented
22#26172C211yesmaximal, characteristic, complemented
23#25763C211yesmaximal, characteristic
24#24033C211yesmaximal, characteristic, complemented
25#23300C211yesmaximal, characteristic, complemented
26#22978C211yesmaximal, characteristic, complemented
27#22968C211yesmaximal, characteristic, complemented
28#22874C211yesmaximal, characteristic, complemented
29#22858C211yesmaximal, characteristic, complemented
30#21452C211yesmaximal, characteristic, complemented
31C4×#450C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C22×#123—21no—
34C22×C4×D4C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#481C2211yescharacteristic
37C2×#478C2211yescharacteristic
38C2×#474C2211yescharacteristic
39C2×#463C2211yescharacteristic
40C2×#450C2211yescharacteristic
41C2×#450C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#442C2211yescharacteristic
45C2×#442C2211yescharacteristic, complemented
46C2×C4×SD16C2211yescharacteristic
47C2×C4×SD16C2211yescharacteristic, complemented
48C22×#102C2211yescharacteristic
49#2854C2211yescharacteristic
50#2849—21no—
51#2798—21no—
52#2796—21no—
53#2600—21no—
54#2580—21no—
55#2575—21no—
56#2557—21no—
57#2540C2211yescharacteristic
58#2516—21no—
59#2501C2211yescharacteristic
60#2492C2211yescharacteristic, complemented
61#2491C2211yescharacteristic, complemented
62#2490C2211yescharacteristic, complemented
63#2489C2211yescharacteristic, complemented
64#2487C2211yescharacteristic
65#2486C2211yescharacteristic
66#2448C2211yescharacteristic, complemented
67#2447C2211yescharacteristic, complemented
68#2445C2211yescharacteristic
69#2445C2211yescharacteristic
70#2443—21no—
71#2443—21no—
72#2422C2211yescharacteristic
73#2422C2211yescharacteristic
74#2418—21no—
75#2418—21no—
76#2412—21no—
77#2405—21no—
78#2370C2211yescharacteristic, complemented
79#2367—21no—
80#2365C2211yescharacteristic, complemented
81#2361C2211yescharacteristic, complemented
82#2360C2211yescharacteristic, complemented
83D4×C4⋊C4C2211yescharacteristic
84D4×C4⋊C4C2211yescharacteristic
85D4×C22⋊C4C2211yescharacteristic
86D4×C22⋊C4C2211yescharacteristic
87D4×C22⋊C4C2211yescharacteristic
88C4×C22⋊Q8C2211yescharacteristic, complemented
89C4×#123C2211yescharacteristic
90C4×#121C2211yescharacteristic, complemented
91#2096C2211yescharacteristic, complemented
92#2094C2211yescharacteristic, complemented
93#2088C2211yescharacteristic, complemented
94#2088C2211yescharacteristic, complemented
95#2076C2211yescharacteristic, complemented
96#2076C2211yescharacteristic, complemented
97#2075C2211yescharacteristic, complemented
98#2075C2211yescharacteristic, complemented
99#2072C2211yescharacteristic, complemented
100#2071C2211yescharacteristic, complemented
101#2055C2211yescharacteristic, complemented
102#2055C2211yescharacteristic, complemented
103#2054C2211yescharacteristic, complemented
104#2054C2211yescharacteristic, complemented
105#2042C2211yescharacteristic, complemented
106#2042C2211yescharacteristic, complemented
107#2041C2211yescharacteristic
108#2041C2211yescharacteristic
109#2036C2211yescharacteristic, complemented
110#2035C2211yescharacteristic, complemented
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2025C2211yescharacteristic, complemented
116#2025C2211yescharacteristic, complemented
117#2023C2211yescharacteristic, complemented
118#2023C2211yescharacteristic, complemented
119#2000C2211yescharacteristic
120#2000C2211yescharacteristic
121#1999C2211yescharacteristic
122#1999C2211yescharacteristic
123#1992C2211yescharacteristic, complemented
124#1990C2211yescharacteristic, complemented
125#1982C2211yescharacteristic
126#1973C2211yescharacteristic, complemented
127#1973C2211yescharacteristic, complemented
128#1972C2211yescharacteristic, complemented
129#1970C2211yescharacteristic, complemented
130#1970C2211yescharacteristic, complemented
131#1968C2211yescharacteristic, complemented
132#1955C2211yescharacteristic
133#1948C2211yescharacteristic, complemented
134#1948C2211yescharacteristic, complemented
135#1943C2211yescharacteristic, complemented
136#1943C2211yescharacteristic, complemented
137#1943C2211yescharacteristic, complemented
138#1941C2211yescharacteristic, complemented
139#1936C2211yescharacteristic, complemented
140#1935C2211yescharacteristic, complemented
141#1934C2211yescharacteristic, complemented
142#1934C2211yescharacteristic, complemented
143#1926C2211yescharacteristic, complemented
144#1926C2211yescharacteristic, complemented
145#1926C2211yescharacteristic, complemented
146#1926C2211yescharacteristic, complemented
147#1925C2211yescharacteristic, complemented
148#1925C2211yescharacteristic, complemented
149#1924C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1923C2211yescharacteristic, complemented
153#1921C2211yescharacteristic, complemented
154#1921C2211yescharacteristic, complemented
155#1920C2211yescharacteristic, complemented
156#1918C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic, complemented
161#1892C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1869C2211yescharacteristic
175#1865C2211yescharacteristic, complemented
176#1864C2211yescharacteristic
177#1864C2211yescharacteristic
178#1864C2211yescharacteristic
179#1864C2211yescharacteristic
180#1864C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1786C2211yescharacteristic
188#1786C2211yescharacteristic
189#1786C2211yescharacteristic
190#1771C2211yescharacteristic, complemented
191#1770C2211yescharacteristic, complemented
192#1762C2211yescharacteristic
193#1762C2211yescharacteristic
194#1762C2211yescharacteristic
195#1762C2211yescharacteristic, complemented
196C4×#102C2211yescharacteristic
197C4×#102C2211yescharacteristic
198C4×#102C2211yescharacteristic, complemented
199#1752C2211yescharacteristic, complemented
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1749C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C24×C4—21no—
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214D42—42no—
215D42—42no—
216C2×C4⋊Q8C2311yescharacteristic
217C2×#127C2311yescharacteristic
218C2×#125C2311yescharacteristic
219C2×#124—21no—
220C2×#124C2311yescharacteristic
221C2×#123—21no—
222C2×#123—21no—
223C2×#123—21no—
224C2×#123—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—48no—
230C2×#123D411yescharacteristic
231C2×C22⋊Q8C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×#121—21no—
234C2×#121C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#120—21no—
239C2×#120—21no—
240C2×C4×Q8—21no—
241C2×C4×Q8C2311yescharacteristic
242C2×C4×D4—21no—
243C2×C4×D4—21no—
244C2×C4×D4—21no—
245C2×C4×D4—21no—
246C2×C4×D4—42no—
247C2×C4×D4—42no—
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C22×C4⋊C4—21no—
258C22×C4⋊C4—21no—
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C22⋊C4—21no—
262C22×C22⋊C4—21no—
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265C22×C42C2311yescharacteristic
266#496—42no—
267#481—42no—
268#478—24no—
269#474—24no—
270#463—42no—
271#450—24no—
272#450—24no—
273#447—24no—
274#447—24no—
275#442—42no—
276#442—42no—
277C4×SD16—42no—
278C4×SD16—42no—
279C2×#107C2311yescharacteristic
280C2×#107C2311yescharacteristic
281C2×#107C2311yescharacteristic
282C2×#106C2311yescharacteristic
283C2×#106C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×#106C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×C4⋊C8C2311yescharacteristic
290C2×C4⋊C8C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×#103C2311yescharacteristic
293C2×#103C2311yescharacteristic
294C2×#103C2311yescharacteristic
295C2×#103C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#102—42no—
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
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×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×#97C2311yescharacteristic
329C2×#97C2311yescharacteristic
330C2×#97C2311yescharacteristic
331C2×#97C2311yescharacteristic
332C2×C4×C8C2311yescharacteristic
333C2×C4×C8C2311yescharacteristic
334C2×C4×C8C2311yescharacteristic
335#400—21no—
336#400—21no—
337#400—21no—
338#399—21no—
339#399—21no—
340#399—21no—
341#399—21no—
342#399—21no—
343#398—21no—
344#397—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#397—21no—
350#397—21no—
351#397—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#393—21no—
361#393—21no—
362#392—21no—
363#391—21no—
364#391—21no—
365#391C2311yescharacteristic
366#391C2311yescharacteristic
367#391C2311yescharacteristic
368#390—21no—
369#390—21no—
370#390—21no—
371#390C2311yescharacteristic
372#390C2311yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#389—21no—
381#389—21no—
382#389C2311yescharacteristic
383#389C2311yescharacteristic
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#388D411yescharacteristic
401#388D411yescharacteristic
402#387—21no—
403#387—21no—
404#387—21no—
405#387—21no—
406#387—21no—
407#387—21no—
408#387D411yescharacteristic
409#387D411yescharacteristic
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386D411yescharacteristic
423#385—21no—
424#385—21no—
425#385—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#385D411yescharacteristic
435#384C2311yescharacteristic
436#384C2311yescharacteristic
437#382—21no—
438#381—21no—
439#381—21no—
440#381D411yescharacteristic
441#380—21no—
442#380—21no—
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#379—21no—
450#379—21no—
451#379—21no—
452C4×C4⋊C4—21no—
453C4×C4⋊C4—21no—
454C4×C4⋊C4C2311yescharacteristic
455C4×C4⋊C4C2311yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C22⋊C4—21no—
462C4×C22⋊C4—21no—
463C4×C22⋊C4—21no—
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497C25—21no—
498C25—21no—
499C22×Q8—21no—
500C22×Q8C2411yescharacteristic
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—44no—
522C22×D4—44no—
523C22×D4—82no—
524C22×D4C2×D411yescharacteristic
525C22×D4C2411yescharacteristic
526C22×D4C2411yescharacteristic
527C22×D4C2411yescharacteristic
528C22×D4C2411yescharacteristic
529C23×C4—21no—
530C23×C4—21no—
531C23×C4—21no—
532C23×C4—21no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—44no—
540C23×C4—44no—
541C23×C4—82no—
542C23×C4C2×D411yescharacteristic
543C23×C4C2×D411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C2×SD16—22no—
547C2×SD16—22no—
548C2×SD16—22no—
549C2×SD16—22no—
550C2×SD16—22no—
551C2×SD16—22no—
552C2×SD16—41no—
553C2×SD16—41no—
554C2×SD16—41no—
555C2×D8—22no—
556C2×D8—22no—
557C2×D8—22no—
558C2×D8—22no—
559C2×D8—22no—
560C2×D8—22no—
561C2×D8—41no—
562C2×D8—41no—
563C2×D8—41no—
564C22×C8—41no—
565C22×C8—41no—
566C22×C8—41no—
567C22×C8C2411yescharacteristic
568C22×C8C2411yescharacteristic
569C22×C8C2411yescharacteristic
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573C22×C8C2411yescharacteristic
574C22×C8C2411yescharacteristic
575C4⋊Q8—22no—
576C4⋊Q8—41no—
577#127—22no—
578#127—41no—
579#125—22no—
580#125—41no—
581#124—41no—
582#124—41no—
583#124—44no—
584#123—24no—
585#123—44no—
586#123—44no—
587#123—44no—
588#123—44no—
589#123—44no—
590#123—44no—
591#123—44no—
592#123—82no—
593C22⋊Q8—22no—
594C22⋊Q8—22no—
595C22⋊Q8—41no—
596C22⋊Q8—41no—
597#121—22no—
598#121—22no—
599#121—22no—
600#121—41no—
601#121—41no—
602#121—41no—
603#121—41no—
604#121—41no—
605#121—44no—
606#120—44no—
607#120—44no—
608C4×Q8—41no—
609C4×Q8—41no—
610C4×Q8—82no—
611C4×D4—22no—
612C4×D4—22no—
613C4×D4—22no—
614C4×D4—22no—
615C4×D4—22no—
616C4×D4—22no—
617C4×D4—22no—
618C4×D4—41no—
619C4×D4—41no—
620C4×D4—41no—
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—44no—
630C4×D4—44no—
631C4×D4—82no—
632C4×D4—82no—
633C2×C4⋊C4—21no—
634C2×C4⋊C4—21no—
635C2×C4⋊C4—21no—
636C2×C4⋊C4—21no—
637C2×C4⋊C4—21no—
638C2×C4⋊C4—21no—
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—41no—
654C2×C4⋊C4—41no—
655C2×C4⋊C4—41no—
656C2×C4⋊C4—41no—
657C2×C4⋊C4—44no—
658C2×C4⋊C4—44no—
659C2×C4⋊C4C2×D411yescharacteristic
660C2×C4⋊C4C2×D411yescharacteristic
661C2×C4⋊C4C2×D411yescharacteristic
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4C2×D411yescharacteristic
664C2×C4⋊C4C2411yescharacteristic
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—44no—
716C2×C22⋊C4—44no—
717C2×C22⋊C4—44no—
718C2×C22⋊C4—44no—
719C2×C22⋊C4C2×D411yescharacteristic
720C2×C22⋊C4C2×D411yescharacteristic
721C2×C22⋊C4C2×D411yescharacteristic
722C2×C22⋊C4C2×D411yescharacteristic
723C2×C22⋊C4C2×D411yescharacteristic
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C22⋊C4C2×D411yescharacteristic
727C2×C42—21no—
728C2×C42—21no—
729C2×C42—21no—
730C2×C42—21no—
731C2×C42—21no—
732C2×C42—21no—
733C2×C42—41no—
734C2×C42—41no—
735C2×C42C2×D411yescharacteristic
736C2×C42C2×D411yescharacteristic
737C2×C42C2411yescharacteristic
738C2×C42C2411yescharacteristic
739C2×C42C2411yescharacteristic
740C2×C42C2411yescharacteristic
741C2×C42C2411yescharacteristic
742#107—22no—
743#107—22no—
744#107—22no—
745#106—22no—
746#106—41no—
747#106—41no—
748#106—41no—
749#106—41no—
750#106—41no—
751#106—41no—
752C4⋊C8—22no—
753C4⋊C8—22no—
754C4⋊C8—41no—
755#103—41no—
756#103—41no—
757#103—41no—
758#103—41no—
759#103—41no—
760#102—22no—
761#102—22no—
762#102—22no—
763#102—22no—
764#102—22no—
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#4114yes—
782#102#4114yes—
783C22⋊C8—22no—
784C22⋊C8—22no—
785C22⋊C8—22no—
786C22⋊C8—22no—
787C22⋊C8—41no—
788C22⋊C8—41no—
789C22⋊C8—41no—
790#97—41no—
791#97—41no—
792#97—41no—
793#97—41no—
794C4×C8—41no—
795C4×C8—41no—
796C4×C8—41no—
797#95—21no—
798#95—21no—
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#95C2×D411yescharacteristic
823#95C2×D411yescharacteristic
824#95C2×D411yescharacteristic
825#95C2×D411yescharacteristic
826#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829#95C2×D411yescharacteristic
830#95C2×D411yescharacteristic
831#95C2×D411yescharacteristic
832C24—21no—
833C24—24no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—42no—
838C24—42no—
839C24—42no—
840C24—42no—
841C24—42no—
842C24—42no—
843C24—42no—
844C24—42no—
845C24—81no—
846C24—81no—
847C24—81no—
848C24—81no—
849C24—81no—
850C24C22×D411yescharacteristic
851C24C22×D411yescharacteristic
852C2×Q8—21no—
853C2×Q8—21no—
854C2×Q8—21no—
855C2×Q8—21no—
856C2×Q8—21no—
857C2×Q8—21no—
858C2×Q8—42no—
859C2×Q8—42no—
860C2×Q8—81no—
861C2×D4—24no—
862C2×D4—22no—
863C2×D4—22no—
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—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
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—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C2×D4—44no—
900C2×D4—42no—
901C2×D4—42no—
902C2×D4—42no—
903C2×D4—42no—
904C2×D4—42no—
905C2×D4—42no—
906C2×D4—42no—
907C2×D4—81no—
908C2×D4—81no—
909C2×D4—81no—
910C2×D4—82no—
911C2×D4—82no—
912C2×D4—82no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—816no—
917C2×D4C2×#4112yes—
918C2×D4C2×#4112yes—
919C2×D4H(5,𝔽2)12yes—
920C2×D4H(5,𝔽2)12yes—
921C22×C4—22no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—22no—
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—41no—
948C22×C4—41no—
949C22×C4—41no—
950C22×C4—41no—
951C22×C4—42no—
952C22×C4—42no—
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—42no—
962C22×C4—42no—
963C22×C4—42no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—42no—
968C22×C4—42no—
969C22×C4—81no—
970C22×C4—81no—
971C22×C4—81no—
972C22×C4—81no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—816no—
982C22×C4C22×D411yescharacteristic
983C22×C4C22×D411yescharacteristic
984C22×C4C22×D411yescharacteristic
985C22×C4C22×D411yescharacteristic
986C22×C4C22×D411yescharacteristic
987C22×C4C22×D411yescharacteristic
988C22×C4C22×D411yescharacteristic
989C22×C4C22×D411yescharacteristic
990C22×C4C22×D411yescharacteristic
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C2511yescharacteristic
995SD16—44no—
996SD16—44no—
997SD16—82no—
998D8—44no—
999D8—44no—
1000D8—82no—
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—82no—
1024C2×C8C2×#4112yes—
1025C2×C8C2×#4112yes—
1026C4⋊C4—22no—
1027C4⋊C4—22no—
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—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—42no—
1052C4⋊C4—42no—
1053C4⋊C4—42no—
1054C4⋊C4—42no—
1055C4⋊C4—42no—
1056C4⋊C4—42no—
1057C4⋊C4—42no—
1058C4⋊C4—42no—
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⋊C4C2×#4112yes—
1072C4⋊C4C2×#4112yes—
1073C22⋊C4—22no—
1074C22⋊C4—22no—
1075C22⋊C4—22no—
1076C22⋊C4—41no—
1077C22⋊C4—41no—
1078C22⋊C4—41no—
1079C22⋊C4—41no—
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—42no—
1101C22⋊C4—42no—
1102C22⋊C4—42no—
1103C22⋊C4—42no—
1104C22⋊C4—42no—
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⋊C4AGL(1,ℤ/8)14yes—
1121C42—21no—
1122C42—21no—
1123C42—21no—
1124C42—21no—
1125C42—21no—
1126C42—21no—
1127C42—21no—
1128C42—21no—
1129C42—21no—
1130C42—21no—
1131C42—41no—
1132C42—41no—
1133C42—42no—
1134C42—42no—
1135C42—81no—
1136C42—81no—
1137C42—81no—
1138C42—81no—
1139C23—21no—
1140C23—21no—
1141C23—21no—
1142C23—21no—
1143C23—21no—
1144C23—21no—
1145C23—22no—
1146C23—22no—
1147C23—21no—
1148C23—21no—
1149C23—22no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—22no—
1155C23—48no—
1156C23—48no—
1157C23—41no—
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—84no—
1182C23—84no—
1183C23—84no—
1184C23—84no—
1185C23—84no—
1186C23—84no—
1187C23—84no—
1188C23—84no—
1189C23—84no—
1190C23—162no—
1191C23—162no—
1192C23—162no—
1193C23C2×AGL(1,ℤ/8)12yes—
1194C23#57712yes—
1195C23C23×D411yescharacteristic
1196Q8—41no—
1197Q8—41no—
1198Q8—41no—
1199Q8—41no—
1200Q8—84no—
1201D4—22no—
1202D4—22no—
1203D4—22no—
1204D4—22no—
1205D4—22no—
1206D4—44no—
1207D4—48no—
1208D4—41no—
1209D4—41no—
1210D4—41no—
1211D4—41no—
1212D4—41no—
1213D4—41no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—84no—
1219D4—84no—
1220D4—84no—
1221D4—84no—
1222D4—84no—
1223D4—84no—
1224D4—162no—
1225D4#55914yes—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—22no—
1243C2×C4—22no—
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—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—44no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
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—84no—
1306C2×C4—84no—
1307C2×C4—84no—
1308C2×C4—82no—
1309C2×C4—84no—
1310C2×C4—84no—
1311C2×C4—84no—
1312C2×C4—84no—
1313C2×C4—84no—
1314C2×C4—162no—
1315C2×C4—162no—
1316C2×C4C2×AGL(1,ℤ/8)12yes—
1317C2×C4C2×AGL(1,ℤ/8)12yes—
1318C2×C4C22×#4111yescharacteristic
1319C2×C4C22×#4111yescharacteristic
1320C2×C4C2×H(5,𝔽2)11yescharacteristic
1321C2×C4C2×H(5,𝔽2)11yescharacteristic
1322C2×C4#58511yescharacteristic
1323C2×C4#58511yescharacteristic
1324C8—22no—
1325C8—22no—
1326C8—41no—
1327C8—41no—
1328C8—41no—
1329C8—41no—
1330C8—41no—
1331C8—41no—
1332C22—22no—
1333C22—22no—
1334C22—24no—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—42no—
1340C22—41no—
1341C22—41no—
1342C22—42no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—42no—
1347C22—42no—
1348C22—41no—
1349C22—41no—
1350C22—42no—
1351C22—42no—
1352C22—41no—
1353C22—42no—
1354C22—42no—
1355C22—42no—
1356C22—816no—
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—
1376C22D4×#4111yescharacteristic
1377C22D4×#4111yescharacteristic
1378C22#348411yescharacteristic
1379C22C22×AGL(1,ℤ/8)11yescharacteristic
1380C22C2×#57711yescharacteristic
1381C22#358411yescharacteristic
1382C22#358511yescharacteristic
1383C4—22no—
1384C4—22no—
1385C4—42no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4—42no—
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—
1407C4C2×#55911yescharacteristic
1408C4#351311yescharacteristic
1409C4#351311yescharacteristic
1410C4#353311yescharacteristic
1411C2—42no—
1412C2—42no—
1413C2—44no—
1414C2—82no—
1415C2—161no—
1416C2—161no—
1417C2#5918911yescharacteristic
1418C2#6143911yescharacteristic
1419C2#6145111yescharacteristic
1420C2#6149011yescharacteristic
1421C2#6152211yescharacteristic
1422C2#6160011yescharacteristic
1423C2#6161411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#25763C2
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. #59634C2semidirect
2. D4×#123C2semidirect
3. #32468C2semidirect
4. #32072C2semidirect
5. #32050C2semidirect
6. #32032C2semidirect
7. #29482C2semidirect
8. #29461C2semidirect
9. #28987C2semidirect
10. #28975C2semidirect
11. #27245C2semidirect
12. #27238C2semidirect
13. #27229C2semidirect
14. #27222C2semidirect
15. #26705C2semidirect
16. #26697C2semidirect
17. #26563C2semidirect
18. #26551C2semidirect
19. #26268C2semidirect
20. #26257C2semidirect
21. #26180C2semidirect
22. #26172C2semidirect
24. #24033C2semidirect
25. #23300C2semidirect
26. #22978C2semidirect
27. #22968C2semidirect
28. #22874C2semidirect
29. #22858C2semidirect
30. #21452C2semidirect
31. C4×#450C2semidirect
45. C2×#442C22semidirect
47. C2×C4×SD16C22semidirect
60. #2492C22semidirect
61. #2491C22semidirect
62. #2490C22semidirect
63. #2489C22semidirect
66. #2448C22semidirect
67. #2447C22semidirect
78. #2370C22semidirect
80. #2365C22semidirect
81. #2361C22semidirect
82. #2360C22semidirect
88. C4×C22⋊Q8C22semidirect
90. C4×#121C22semidirect
91. #2096C22semidirect
92. #2094C22semidirect
93. #2088C22semidirect
94. #2088C22semidirect
95. #2076C22semidirect
96. #2076C22semidirect
97. #2075C22semidirect
98. #2075C22semidirect
99. #2072C22semidirect
100. #2071C22semidirect
101. #2055C22semidirect
102. #2055C22semidirect
103. #2054C22semidirect
104. #2054C22semidirect
105. #2042C22semidirect
106. #2042C22semidirect
109. #2036C22semidirect
110. #2035C22semidirect
113. #2034C22semidirect
114. #2033C22semidirect
115. #2025C22semidirect
116. #2025C22semidirect
117. #2023C22semidirect
118. #2023C22semidirect
123. #1992C22semidirect
124. #1990C22semidirect
126. #1973C22semidirect
127. #1973C22semidirect
128. #1972C22semidirect
129. #1970C22semidirect
130. #1970C22semidirect
131. #1968C22semidirect
133. #1948C22semidirect
134. #1948C22semidirect
135. #1943C22semidirect
136. #1943C22semidirect
137. #1943C22semidirect
138. #1941C22semidirect
139. #1936C22semidirect
140. #1935C22semidirect
141. #1934C22semidirect
142. #1934C22semidirect
143. #1926C22semidirect
144. #1926C22semidirect
145. #1926C22semidirect
146. #1926C22semidirect
147. #1925C22semidirect
148. #1925C22semidirect
149. #1924C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1923C22semidirect
153. #1921C22semidirect
154. #1921C22semidirect
155. #1920C22semidirect
156. #1918C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
160. #1893C22semidirect
161. #1892C22semidirect
162. #1880C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
171. #1877C22semidirect
172. #1874C22semidirect
173. #1872C22semidirect
175. #1865C22semidirect
180. #1864C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
185. #1853C22semidirect
186. #1853C22semidirect
190. #1771C22semidirect
191. #1770C22semidirect
195. #1762C22semidirect
198. C4×#102C22semidirect
199. #1752C22semidirect
200. C8×C22⋊C4C22semidirect
201. #1749C22semidirect
202. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#596342
D4×#1232
#324682
#320722
#320502
#320322
#294822
#294612
#289872
#289752
#272452
#272382
#272292
#272222
#267052
#266972
#265632
#265512
#262682
#262572
#261802
#261722
#257632
#240332
#233002
#229782
#229682
#228742
#228582
#214522
C4×#4502