Finite Group Databasebeta

← #7029239

Subgroups — #7029239

Order 512.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1485 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45010C211yesmaximal, characteristic, complemented
2#44897C211yesmaximal, characteristic, complemented
3#32043C211yesmaximal, characteristic, complemented
4#31781C211yesmaximal, characteristic, complemented
5#31045C211yesmaximal, characteristic, complemented
6#30891C211yesmaximal, characteristic, complemented
7#30737C211yesmaximal, characteristic, complemented
8#30720C211yesmaximal, characteristic, complemented
9#30505C211yesmaximal, characteristic, complemented
10#30501C211yesmaximal, characteristic, complemented
11#29422C211yesmaximal, characteristic, complemented
12#28914C211yesmaximal, characteristic, complemented
13#26999C211yesmaximal, characteristic, complemented
14#26957C211yesmaximal, characteristic, complemented
15#26749C211yesmaximal, characteristic, complemented
16#26704C211yesmaximal, characteristic, complemented
17#26635C211yesmaximal, characteristic, complemented
18#25762C211yesmaximal, characteristic, complemented
19#25581C211yesmaximal, characteristic, complemented
20#25536C211yesmaximal, characteristic, complemented
21#25532C211yesmaximal, characteristic, complemented
22#25411C211yesmaximal, characteristic, complemented
23#25168C211yesmaximal, characteristic, complemented
24#24450C211yesmaximal, characteristic, complemented
25#23976C211yesmaximal, characteristic, complemented
26#23947C211yesmaximal, characteristic, complemented
27#23583C211yesmaximal, characteristic, complemented
28#23130C211yesmaximal, characteristic, complemented
29#22884C211yesmaximal, characteristic, complemented
30#22334C211yesmaximal, characteristic, complemented
31#22053C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#542C2211yescharacteristic, complemented
36C2×#495C2211yescharacteristic
37C2×#490C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#485C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic
41C2×#466C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#465C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#459C2211yescharacteristic
46C2×#452C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#442C2211yescharacteristic
53C2×C4×SD16C2211yescharacteristic
54C2×#418C2211yescharacteristic
55#2733—21no—
56#2730—21no—
57#2714—21no—
58#2706—21no—
59#2695—21no—
60#2688—21no—
61#2678—21no—
62#2673—21no—
63#2548—21no—
64#2544C2211yescharacteristic, complemented
65#2541C2211yescharacteristic, complemented
66#2540C2211yescharacteristic
67#2540C2211yescharacteristic
68#2489C2211yescharacteristic
69#2486C2211yescharacteristic
70#2480—21no—
71#2479—21no—
72#2471—21no—
73#2454C2211yescharacteristic
74#2447C2211yescharacteristic
75#2428C2211yescharacteristic
76#2427C2211yescharacteristic
77#2426—21no—
78#2426C2211yescharacteristic, complemented
79#2420—21no—
80#2418—21no—
81#2415C2211yescharacteristic
82#2415C2211yescharacteristic, complemented
83#2414C2211yescharacteristic
84#2412—21no—
85#2408C2211yescharacteristic
86#2407C2211yescharacteristic
87#2392C2211yescharacteristic
88#2365C2211yescharacteristic, complemented
89#2363C2211yescharacteristic
90#2363C2211yescharacteristic, complemented
91#2362C2211yescharacteristic
92D4×C22⋊C4C2211yescharacteristic
93#2324C2211yescharacteristic
94#2324C2211yescharacteristic, complemented
95#2311C2211yescharacteristic
96#2088C2211yescharacteristic, complemented
97#2076C2211yescharacteristic, complemented
98#2067C2211yescharacteristic, complemented
99#2065C2211yescharacteristic
100#2059C2211yescharacteristic, complemented
101#2058C2211yescharacteristic, complemented
102#2056C2211yescharacteristic, complemented
103#2042C2211yescharacteristic
104#2042C2211yescharacteristic, complemented
105#2042C2211yescharacteristic, complemented
106#2042C2211yescharacteristic, complemented
107#2036C2211yescharacteristic
108#2035C2211yescharacteristic, complemented
109#2034C2211yescharacteristic
110#2034C2211yescharacteristic
111#2034C2211yescharacteristic
112#2034C2211yescharacteristic, complemented
113#2033C2211yescharacteristic
114#2033C2211yescharacteristic, complemented
115#2026C2211yescharacteristic, complemented
116#2024C2211yescharacteristic, complemented
117#2023C2211yescharacteristic
118#2023C2211yescharacteristic
119#2015C2211yescharacteristic, complemented
120#2014C2211yescharacteristic, complemented
121#2012C2211yescharacteristic
122#2012C2211yescharacteristic
123#2012C2211yescharacteristic
124#2011C2211yescharacteristic
125#2001C2211yescharacteristic
126#2001C2211yescharacteristic, complemented
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1989C2211yescharacteristic, complemented
137#1983C2211yescharacteristic
138#1973C2211yescharacteristic
139#1972C2211yescharacteristic
140#1968C2211yescharacteristic, complemented
141#1955C2211yescharacteristic, complemented
142#1954C2211yescharacteristic
143#1941C2211yescharacteristic, complemented
144#1935C2211yescharacteristic, complemented
145#1935C2211yescharacteristic, complemented
146#1934C2211yescharacteristic
147#1934C2211yescharacteristic, complemented
148#1928C2211yescharacteristic, complemented
149#1927C2211yescharacteristic, complemented
150#1926C2211yescharacteristic
151#1926C2211yescharacteristic
152#1925C2211yescharacteristic
153#1925C2211yescharacteristic, complemented
154#1924C2211yescharacteristic
155#1924C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1921C2211yescharacteristic, complemented
159#1920C2211yescharacteristic, complemented
160#1917C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1895C2211yescharacteristic
163#1894C2211yescharacteristic
164#1880C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1878C2211yescharacteristic, complemented
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1875C2211yescharacteristic
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1873C2211yescharacteristic
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic
184#1869C2211yescharacteristic
185#1869C2211yescharacteristic, complemented
186#1864C2211yescharacteristic
187#1862C2211yescharacteristic
188#1862C2211yescharacteristic
189#1862C2211yescharacteristic, complemented
190#1854C2211yescharacteristic
191#1853C2211yescharacteristic, complemented
192#1825C2211yescharacteristic
193#1818C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1763C2211yescharacteristic, complemented
196#1762C2211yescharacteristic
197C4×#102C2211yescharacteristic
198C4×#102C2211yescharacteristic, complemented
199#1753C2211yescharacteristic
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1750C2211yescharacteristic, complemented
202#1735C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C22×Q16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#555—42no—
217#555—42no—
218#553—42no—
219#553—42no—
220#546—42no—
221#546—42no—
222#542—42no—
223#542—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127—21no—
226C2×#127C2311yescharacteristic
227C2×#126—21no—
228C2×#126—21no—
229C2×#125C2311yescharacteristic
230C2×#124—21no—
231C2×#124—21no—
232C2×#124—21no—
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8—21no—
262C2×C4×Q8C2311yescharacteristic
263C2×C4×D4—21no—
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117—21no—
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C22⋊C4—21no—
279C22×C22⋊C4—21no—
280#495—42no—
281#490—42no—
282#485—42no—
283#485—42no—
284#468—42no—
285#466—24no—
286#465—42no—
287#465—42no—
288#463—42no—
289#459—42no—
290#452—42no—
291#450—24no—
292#449—24no—
293#449—42no—
294#447—42no—
295#447—42no—
296#442—42no—
297C4×SD16—42no—
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307#418—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352#400—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#398—21no—
357#398D411yescharacteristic
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397D411yescharacteristic
366#396—21no—
367#396—21no—
368#396D411yescharacteristic
369#396D411yescharacteristic
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394D411yescharacteristic
381#394D411yescharacteristic
382#394D411yescharacteristic
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392D411yescharacteristic
392#391—21no—
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390—21no—
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#389—21no—
415#389—21no—
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#382—21no—
455#381—21no—
456#381—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466#379—21no—
467C4×C4⋊C4—21no—
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C22×Q8—21no—
513C22×Q8C2411yescharacteristic
514C22×Q8C2411yescharacteristic
515C22×D4—21no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4C2×D411yescharacteristic
535C22×D4C2×D411yescharacteristic
536C22×D4C2×D411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C2×Q16—41no—
552C2×Q16—41no—
553C2×Q16—41no—
554C2×SD16—22no—
555C2×SD16—22no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—41no—
559C2×SD16—41no—
560C2×SD16—41no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C22×C8—22no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C4⋊Q8—22no—
593C4⋊Q8—22no—
594#127—41no—
595#127—41no—
596#127—82no—
597#126—44no—
598#126—44no—
599#125—22no—
600#125—41no—
601#124—22no—
602#124—41no—
603#124—41no—
604#124—41no—
605#124—41no—
606#124—41no—
607#124—44no—
608#124—44no—
609#124—44no—
610#123—44no—
611#123—44no—
612#123—44no—
613#123—82no—
614C22⋊Q8—22no—
615C22⋊Q8—22no—
616C22⋊Q8—22no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—41no—
620C22⋊Q8—44no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—44no—
642#121—44no—
643#121—44no—
644#121—41no—
645#121—41no—
646#121—82no—
647#120—44no—
648#120—82no—
649C4×Q8—22no—
650C4×Q8—41no—
651C4×Q8—82no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—44no—
669#117—22no—
670#117—22no—
671#117—22no—
672#117—41no—
673#117—41no—
674#117—41no—
675#117—41no—
676#117—41no—
677#117—44no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2×D411yescharacteristic
698C2×C4⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—44no—
758C2×C22⋊C4—82no—
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783#107—22no—
784#107—22no—
785#107—41no—
786#106—22no—
787#106—22no—
788#106—41no—
789#106—41no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792#103—22no—
793#103—22no—
794#103—22no—
795#103—22no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#102—22no—
803#102—22no—
804#102—22no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102#4114yes—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832#97—41no—
833#97—41no—
834C4×C8—41no—
835C4×C8—41no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—42no—
869C24—42no—
870C24—42no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878#41—82no—
879#41—82no—
880#41—82no—
881#41—82no—
882C2×Q8—24no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—81no—
896C2×Q8—81no—
897C2×D4—24no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—44no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—82no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4C2×#4112yes—
972C2×D4H(5,𝔽2)12yes—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C2511yescharacteristic
1036Q16—82no—
1037SD16—44no—
1038SD16—82no—
1039SD16—82no—
1040SD16—82no—
1041D8—44no—
1042D8—82no—
1043D8—82no—
1044D8—82no—
1045M16—82no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—82no—
1070C2×C8C2×#4112yes—
1071C4⋊C4—24no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4C2×#4112yes—
1111C4⋊C4H(5,𝔽2)12yes—
1112C4⋊C4H(5,𝔽2)12yes—
1113C4⋊C4H(5,𝔽2)12yes—
1114C22⋊C4—24no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—42no—
1179C42—42no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—81no—
1184C42—81no—
1185C42—81no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—21no—
1201C23—21no—
1202C23—22no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—84no—
1236C23—84no—
1237C23—84no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23C23×D411yescharacteristic
1243Q8—41no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—84no—
1252D4—22no—
1253D4—22no—
1254D4—22no—
1255D4—22no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—84no—
1269D4—82no—
1270D4—82no—
1271D4—82no—
1272D4—84no—
1273D4—84no—
1274D4—162no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
1279D4—162no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—22no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—84no—
1366C2×C4—84no—
1367C2×C4—162no—
1368C2×C4—162no—
1369C2×C4—162no—
1370C2×C4—162no—
1371C2×C4—162no—
1372C2×C4C22×#4111yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4#58511yescharacteristic
1378C8—22no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—42no—
1390C22—41no—
1391C22—41no—
1392C22—42no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—42no—
1398C22—42no—
1399C22—41no—
1400C22—41no—
1401C22—42no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—168no—
1436C22D4×#4111yescharacteristic
1437C22#348411yescharacteristic
1438C22#348411yescharacteristic
1439C22#358411yescharacteristic
1440C22#358411yescharacteristic
1441C22#358511yescharacteristic
1442C22#358511yescharacteristic
1443C4—42no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—42no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—42no—
1457C4—42no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4#350811yescharacteristic
1467C4#351911yescharacteristic
1468C4#354211yescharacteristic
1469C4#354611yescharacteristic
1470C2—81no—
1471C2—81no—
1472C2—81no—
1473C2—82no—
1474C2—82no—
1475C2—161no—
1476C2—161no—
1477C2#4311311yescharacteristic
1478C2#6148611yescharacteristic
1479C2#6150511yescharacteristic
1480C2#6161411yescharacteristic
1481C2#6161611yescharacteristic
1482C2#6162511yescharacteristic
1483C2#6167811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45010C2semidirect
2. #44897C2semidirect
3. #32043C2semidirect
4. #31781C2semidirect
5. #31045C2semidirect
6. #30891C2semidirect
7. #30737C2semidirect
8. #30720C2semidirect
9. #30505C2semidirect
10. #30501C2semidirect
11. #29422C2semidirect
12. #28914C2semidirect
13. #26999C2semidirect
14. #26957C2semidirect
15. #26749C2semidirect
16. #26704C2semidirect
17. #26635C2semidirect
18. #25762C2semidirect
19. #25581C2semidirect
20. #25536C2semidirect
21. #25532C2semidirect
22. #25411C2semidirect
23. #25168C2semidirect
24. #24450C2semidirect
25. #23976C2semidirect
26. #23947C2semidirect
27. #23583C2semidirect
28. #23130C2semidirect
29. #22884C2semidirect
30. #22334C2semidirect
31. #22053C2semidirect
35. C2×#542C22semidirect
37. C2×#490C22semidirect
38. C2×#485C22semidirect
39. C2×#485C22semidirect
43. C2×#465C22semidirect
64. #2544C22semidirect
65. #2541C22semidirect
78. #2426C22semidirect
82. #2415C22semidirect
88. #2365C22semidirect
90. #2363C22semidirect
94. #2324C22semidirect
96. #2088C22semidirect
97. #2076C22semidirect
98. #2067C22semidirect
100. #2059C22semidirect
101. #2058C22semidirect
102. #2056C22semidirect
104. #2042C22semidirect
105. #2042C22semidirect
106. #2042C22semidirect
108. #2035C22semidirect
112. #2034C22semidirect
114. #2033C22semidirect
115. #2026C22semidirect
116. #2024C22semidirect
119. #2015C22semidirect
120. #2014C22semidirect
126. #2001C22semidirect
130. #2000C22semidirect
136. #1989C22semidirect
140. #1968C22semidirect
141. #1955C22semidirect
143. #1941C22semidirect
144. #1935C22semidirect
145. #1935C22semidirect
147. #1934C22semidirect
148. #1928C22semidirect
149. #1927C22semidirect
153. #1925C22semidirect
155. #1924C22semidirect
156. #1921C22semidirect
157. #1921C22semidirect
158. #1921C22semidirect
159. #1920C22semidirect
160. #1917C22semidirect
161. #1916C22semidirect
170. #1878C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
181. #1872C22semidirect
185. #1869C22semidirect
189. #1862C22semidirect
191. #1853C22semidirect
193. #1818C22semidirect
195. #1763C22semidirect
198. C4×#102C22semidirect
200. C8×C22⋊C4C22semidirect
201. #1750C22semidirect
202. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#450102
#448972
#320432
#317812
#310452
#308912
#307372
#307202
#305052
#305012
#294222
#289142
#269992
#269572
#267492
#267042
#266352
#257622
#255812
#255362
#255322
#254112
#251682
#244502
#239762
#239472
#235832
#231302
#228842
#223342
#220532