Finite Group Databasebeta

← #7569393

Subgroups — #7569393

Order 512.

1884 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45397C211yesmaximal, characteristic, complemented
2#35761C211yesmaximal, characteristic
3#32186C211yesmaximal, characteristic, complemented
4#32095C211yesmaximal, characteristic, complemented
5#32003C211yesmaximal, characteristic, complemented
6#31411C211yesmaximal, characteristic, complemented
7#29345C211yesmaximal, characteristic, complemented
8#29055C211yesmaximal, characteristic, complemented
9#28590C211yesmaximal, characteristic, complemented
10#28564C211yesmaximal, characteristic, complemented
11#27573C211yesmaximal, characteristic, complemented
12#27541C211yesmaximal, characteristic, complemented
13#27403C211yesmaximal, characteristic, complemented
14#27310C211yesmaximal, characteristic, complemented
15#26978C211yesmaximal, characteristic, complemented
16#26646C211yesmaximal, characteristic, complemented
17#26209C211yesmaximal, characteristic, complemented
18#26154C211yesmaximal, characteristic, complemented
19#24903C211yesmaximal, characteristic, complemented
20#24788C211yesmaximal, characteristic, complemented
21#24448C211yesmaximal, characteristic, complemented
22#24436C211yesmaximal, characteristic, complemented
23#24426C211yesmaximal, characteristic, complemented
24#24050C211yesmaximal, characteristic, complemented
25#23124C211yesmaximal, characteristic, complemented
26#22884C211yesmaximal, characteristic, complemented
27#22564C211yesmaximal, characteristic, complemented
28#22424C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#21459C211yesmaximal, characteristic, complemented
31#20876C211yesmaximal, characteristic, complemented
32C2×#546C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#518C2211yescharacteristic
36C2×#485C2211yescharacteristic, complemented
37C2×#468C2211yescharacteristic
38C2×#467C2211yescharacteristic, complemented
39C2×#465C2211yescharacteristic, complemented
40C2×#452C2211yescharacteristic
41C2×#450C2211yescharacteristic
42C2×#450C2211yescharacteristic
43C2×#440C2211yescharacteristic, complemented
44C2×C4×SD16C2211yescharacteristic
45C2×#435C2211yescharacteristic
46C2×#435C2211yescharacteristic, complemented
47C2×#428C2211yescharacteristic, complemented
48C2×#418C2211yescharacteristic
49C2×#418C2211yescharacteristic
50C2×#416C2211yescharacteristic
51C22×#102C2211yescharacteristic
52#2795—21no—
53#2781—21no—
54#2772—21no—
55#2753—21no—
56#2620C2211yescharacteristic
57#2617—21no—
58#2597—21no—
59#2570—21no—
60#2544C2211yescharacteristic
61#2537C2211yescharacteristic
62#2534—21no—
63#2530—21no—
64#2529—21no—
65#2511C2211yescharacteristic, complemented
66#2508C2211yescharacteristic, complemented
67#2497C2211yescharacteristic, complemented
68#2485C2211yescharacteristic, complemented
69#2428C2211yescharacteristic
70#2427C2211yescharacteristic
71#2425—21no—
72#2424—21no—
73#2421C2211yescharacteristic, complemented
74#2417C2211yescharacteristic, complemented
75#2416—21no—
76#2415C2211yescharacteristic
77#2415C2211yescharacteristic
78#2415C2211yescharacteristic, complemented
79#2414C2211yescharacteristic
80#2412—21no—
81#2410—21no—
82#2392C2211yescharacteristic
83C2×#394—21no—
84#2362C2211yescharacteristic, complemented
85#2354C2211yescharacteristic, complemented
86#2352C2211yescharacteristic
87D4×C4⋊C4C2211yescharacteristic
88#2346C2211yescharacteristic, complemented
89#2339C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91#2323C2211yescharacteristic, complemented
92#2317C2211yescharacteristic, complemented
93#2100C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2099C2211yescharacteristic, complemented
96#2097C2211yescharacteristic, complemented
97#2087C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2083C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2066C2211yescharacteristic, complemented
107#2056C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2041C2211yescharacteristic
113#2036C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2015C2211yescharacteristic, complemented
120#2015C2211yescharacteristic, complemented
121#2014C2211yescharacteristic
122#2001C2211yescharacteristic, complemented
123#2000C2211yescharacteristic
124#2000C2211yescharacteristic, complemented
125#1983C2211yescharacteristic, complemented
126#1982C2211yescharacteristic
127#1973C2211yescharacteristic, complemented
128#1961C2211yescharacteristic
129#1959C2211yescharacteristic, complemented
130#1944C2211yescharacteristic, complemented
131#1936C2211yescharacteristic, complemented
132#1935C2211yescharacteristic, complemented
133#1935C2211yescharacteristic, complemented
134#1935C2211yescharacteristic, complemented
135#1934C2211yescharacteristic, complemented
136#1933C2211yescharacteristic, complemented
137#1928C2211yescharacteristic, complemented
138#1928C2211yescharacteristic, complemented
139#1926C2211yescharacteristic, complemented
140#1925C2211yescharacteristic, complemented
141#1924C2211yescharacteristic, complemented
142#1923C2211yescharacteristic, complemented
143#1921C2211yescharacteristic, complemented
144#1920C2211yescharacteristic, complemented
145#1917C2211yescharacteristic, complemented
146#1917C2211yescharacteristic, complemented
147#1895C2211yescharacteristic
148#1894C2211yescharacteristic, complemented
149#1894C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1893C2211yescharacteristic
152#1893C2211yescharacteristic, complemented
153#1880C2211yescharacteristic, complemented
154#1878C2211yescharacteristic, complemented
155#1877C2211yescharacteristic
156#1877C2211yescharacteristic
157#1877C2211yescharacteristic
158#1877C2211yescharacteristic, complemented
159#1875C2211yescharacteristic
160#1875C2211yescharacteristic
161#1875C2211yescharacteristic, complemented
162#1875C2211yescharacteristic, complemented
163#1874C2211yescharacteristic
164#1873C2211yescharacteristic, complemented
165#1873C2211yescharacteristic, complemented
166#1872C2211yescharacteristic, complemented
167#1870C2211yescharacteristic
168#1870C2211yescharacteristic, complemented
169#1869C2211yescharacteristic, complemented
170#1869C2211yescharacteristic, complemented
171#1864C2211yescharacteristic
172#1864C2211yescharacteristic
173#1864C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1864C2211yescharacteristic, complemented
176#1862C2211yescharacteristic
177#1862C2211yescharacteristic
178#1862C2211yescharacteristic
179#1862C2211yescharacteristic
180#1862C2211yescharacteristic
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1825C2211yescharacteristic, complemented
186#1808C2211yescharacteristic, complemented
187#1804C2211yescharacteristic
188#1802C2211yescharacteristic
189#1788C2211yescharacteristic
190#1788C2211yescharacteristic
191#1786C2211yescharacteristic
192#1786C2211yescharacteristic
193#1786C2211yescharacteristic
194#1762C2211yescharacteristic
195#1762C2211yescharacteristic
196#1762C2211yescharacteristic
197C4×#102C2211yescharacteristic, complemented
198#1753C2211yescharacteristic, complemented
199#1752C2211yescharacteristic, complemented
200#1750C2211yescharacteristic, complemented
201#1735C2211yescharacteristic, complemented
202#1729C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#546—24no—
216#546—42no—
217#546—42no—
218#546—42no—
219D42—24no—
220D42—42no—
221C2×#127C2311yescharacteristic
222C2×#124C2311yescharacteristic
223C2×#124C2311yescharacteristic
224C2×#123—21no—
225C2×#123—21no—
226C2×C22⋊Q8C2311yescharacteristic
227C2×C22⋊Q8C2311yescharacteristic
228C2×C22⋊Q8C2311yescharacteristic
229C2×C22⋊Q8C2311yescharacteristic
230C2×C22⋊Q8C2311yescharacteristic
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#120—21no—
241C2×#120—21no—
242C2×#120—21no—
243C2×#120—21no—
244#518—42no—
245#518—42no—
246C2×C4×Q8C2311yescharacteristic
247C2×C4×D4—21no—
248C2×C4×D4—21no—
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×#117C2311yescharacteristic
259C2×#117C2311yescharacteristic
260C2×#117C2311yescharacteristic
261C2×#117C2311yescharacteristic
262C2×#117C2311yescharacteristic
263C22×C4⋊C4—21no—
264C22×C4⋊C4C2311yescharacteristic
265C22×C22⋊C4—21no—
266C22×C22⋊C4—21no—
267C22×C22⋊C4—21no—
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270#485—42no—
271#468—42no—
272#467—42no—
273#465—42no—
274#452—42no—
275#450—24no—
276#450—24no—
277#440—42no—
278C4×SD16—42no—
279#435—42no—
280#435—42no—
281#428—42no—
282C2×#107C2311yescharacteristic
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×C4⋊C8C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292#418—24no—
293#418—42no—
294#416—24no—
295C2×#103C2311yescharacteristic
296C2×#103C2311yescharacteristic
297C2×#103C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#102—42no—
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×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×#97C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340#400—21no—
341#400—21no—
342#400—21no—
343#400—21no—
344#400—21no—
345#398—21no—
346#398—21no—
347#398D411yescharacteristic
348#397—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397D411yescharacteristic
355#396—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#396D411yescharacteristic
360#396D411yescharacteristic
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394D411yescharacteristic
375#394D411yescharacteristic
376#394D411yescharacteristic
377#392—21no—
378#392—21no—
379#392D411yescharacteristic
380#391C2311yescharacteristic
381#391C2311yescharacteristic
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#391C2311yescharacteristic
385#390—21no—
386#390—21no—
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#389—21no—
390#389—21no—
391#389—21no—
392#389—21no—
393#389C2311yescharacteristic
394#389C2311yescharacteristic
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#387—21no—
419#387—21no—
420#387—21no—
421#387—21no—
422#387—21no—
423#387—21no—
424#387—21no—
425#387—21no—
426#387—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#384—21no—
442#384C2311yescharacteristic
443#384C2311yescharacteristic
444#382—21no—
445#382—21no—
446#382—21no—
447#382C2311yescharacteristic
448#381—21no—
449#380—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#379—21no—
461C4×C4⋊C4—21no—
462C4×C4⋊C4—21no—
463C4×C4⋊C4C2311yescharacteristic
464C4×C4⋊C4C2311yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C22⋊C4—21no—
468C4×C22⋊C4C2311yescharacteristic
469C4×C22⋊C4C2311yescharacteristic
470#376—21no—
471C2×#95—21no—
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8C2411yescharacteristic
511C22×Q8C2411yescharacteristic
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—21no—
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—22no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—44no—
533C22×D4—82no—
534C22×D4—82no—
535C22×D4C2×D411yescharacteristic
536C22×D4C2×D411yescharacteristic
537C22×D4C2×D411yescharacteristic
538C22×D4#4114yes—
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C2×Q16—41no—
554C2×Q16—41no—
555C2×Q16—41no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×M16—22no—
566C2×M16—22no—
567C2×M16—41no—
568C2×M16—41no—
569C2×M16—41no—
570C2×M16—41no—
571C22×C8—22no—
572C22×C8—22no—
573C22×C8—41no—
574C22×C8—41no—
575C22×C8—41no—
576C22×C8—41no—
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585#127—22no—
586#127—41no—
587#124—22no—
588#124—41no—
589#124—41no—
590#124—41no—
591#123—44no—
592#123—44no—
593C22⋊Q8—22no—
594C22⋊Q8—22no—
595C22⋊Q8—22no—
596C22⋊Q8—22no—
597C22⋊Q8—22no—
598C22⋊Q8—22no—
599C22⋊Q8—41no—
600C22⋊Q8—41no—
601C22⋊Q8—41no—
602C22⋊Q8—41no—
603#121—22no—
604#121—22no—
605#121—22no—
606#121—22no—
607#121—22no—
608#121—44no—
609#121—41no—
610#121—41no—
611#121—41no—
612#121—44no—
613#121—44no—
614#121—82no—
615#121—82no—
616#120—44no—
617#120—44no—
618#120—44no—
619#120—44no—
620C4×Q8—41no—
621C4×Q8—41no—
622C4×D4—22no—
623C4×D4—22no—
624C4×D4—22no—
625C4×D4—22no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—22no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—41no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—44no—
641C4×D4—44no—
642#117—22no—
643#117—22no—
644#117—22no—
645#117—41no—
646#117—41no—
647#117—41no—
648#117—41no—
649#117—41no—
650#117—41no—
651#117—41no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—21no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—82no—
675C2×C4⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
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—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—44no—
728C2×C22⋊C4—44no—
729C2×C22⋊C4—44no—
730C2×C22⋊C4—44no—
731C2×C22⋊C4—82no—
732C2×C22⋊C4C2×D411yescharacteristic
733C2×C22⋊C4C2×D411yescharacteristic
734C2×C22⋊C4C2×D411yescharacteristic
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C42—21no—
745C2×C42—21no—
746C2×C42—21no—
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—21no—
752C2×C42C2411yescharacteristic
753C2×C42C2411yescharacteristic
754C2×C42C2411yescharacteristic
755C2×C42C2411yescharacteristic
756#107—22no—
757#107—41no—
758#107—41no—
759#107—41no—
760#107—41no—
761#106—22no—
762#106—22no—
763#106—41no—
764C4⋊C8—41no—
765C4⋊C8—41no—
766#103—22no—
767#103—22no—
768#103—22no—
769#103—41no—
770#103—41no—
771#103—41no—
772#103—41no—
773#103—41no—
774#103—41no—
775#103—41no—
776#103—41no—
777#102—22no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102#4114yes—
798C22⋊C8—22no—
799C22⋊C8—22no—
800C22⋊C8—22no—
801C22⋊C8—41no—
802C22⋊C8—41no—
803C22⋊C8—41no—
804C22⋊C8—41no—
805C22⋊C8—41no—
806#97—41no—
807#97—41no—
808#97—41no—
809C4×C8—41no—
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#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847C24—21no—
848C24—21no—
849C24—24no—
850C24—21no—
851C24—42no—
852C24—42no—
853C24—42no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24—81no—
858C24—81no—
859C24—81no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24C22×D411yescharacteristic
865C24C22×D411yescharacteristic
866C24C22×D411yescharacteristic
867#41—44no—
868#41—82no—
869#41—82no—
870#41—82no—
871C2×Q8—21no—
872C2×Q8—21no—
873C2×Q8—21no—
874C2×Q8—21no—
875C2×Q8—21no—
876C2×Q8—21no—
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×D4—28no—
884C2×D4—22no—
885C2×D4—22no—
886C2×D4—24no—
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—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—44no—
902C2×D4—44no—
903C2×D4—44no—
904C2×D4—41no—
905C2×D4—41no—
906C2×D4—42no—
907C2×D4—42no—
908C2×D4—41no—
909C2×D4—41no—
910C2×D4—41no—
911C2×D4—41no—
912C2×D4—41no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—44no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—82no—
932C2×D4—82no—
933C2×D4—82no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—816no—
942C2×D4C2×#4112yes—
943C2×D4C2×#4112yes—
944C2×D4C2×#4112yes—
945C2×D4H(5,𝔽2)12yes—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—24no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—42no—
977C22×C4—42no—
978C22×C4—42no—
979C22×C4—42no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—81no—
986C22×C4—81no—
987C22×C4—81no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
991C22×C4—81no—
992C22×C4—81no—
993C22×C4—81no—
994C22×C4—81no—
995C22×C4—81no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4C22×D411yescharacteristic
1000C22×C4C22×D411yescharacteristic
1001C22×C4C22×D411yescharacteristic
1002C22×C4C22×D411yescharacteristic
1003C22×C4C22×D411yescharacteristic
1004C22×C4C22×D411yescharacteristic
1005C22×C4C22×D411yescharacteristic
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C2×#4112yes—
1011C22×C4H(5,𝔽2)12yes—
1012C22×C4C2511yescharacteristic
1013Q16—82no—
1014SD16—44no—
1015SD16—44no—
1016SD16—82no—
1017M16—44no—
1018M16—82no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—82no—
1043C2×C8—82no—
1044C2×C8C2×#4112yes—
1045C4⋊C4—22no—
1046C4⋊C4—22no—
1047C4⋊C4—21no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—21no—
1054C4⋊C4—21no—
1055C4⋊C4—21no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—42no—
1073C4⋊C4—42no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—81no—
1078C4⋊C4—81no—
1079C4⋊C4—81no—
1080C4⋊C4—81no—
1081C4⋊C4—81no—
1082C4⋊C4—81no—
1083C4⋊C4—81no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4C2×#4112yes—
1093C4⋊C4H(5,𝔽2)12yes—
1094C22⋊C4—24no—
1095C22⋊C4—22no—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—41no—
1107C22⋊C4—42no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C42—21no—
1141C42—21no—
1142C42—21no—
1143C42—21no—
1144C42—21no—
1145C42—21no—
1146C42—21no—
1147C42—21no—
1148C42—42no—
1149C42—42no—
1150C42—42no—
1151C42—42no—
1152C42—81no—
1153C42—81no—
1154C42—81no—
1155C42—81no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—22no—
1161C23—21no—
1162C23—22no—
1163C23—22no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—22no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—48no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—84no—
1199C23—84no—
1200C23—84no—
1201C23—84no—
1202C23—84no—
1203C23—84no—
1204C23—162no—
1205C23—162no—
1206C23—162no—
1207C23—162no—
1208C23—162no—
1209C23—162no—
1210C23—162no—
1211C23#54612yes—
1212C23C23×D411yescharacteristic
1213Q8—41no—
1214Q8—41no—
1215Q8—41no—
1216Q8—41no—
1217Q8—41no—
1218Q8—41no—
1219Q8—41no—
1220Q8—41no—
1221D4—22no—
1222D4—22no—
1223D4—22no—
1224D4—22no—
1225D4—22no—
1226D4—48no—
1227D4—44no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—82no—
1235D4—84no—
1236D4—82no—
1237D4—84no—
1238D4—84no—
1239D4—84no—
1240D4—84no—
1241D4—162no—
1242D4—162no—
1243D4—162no—
1244D4#55314yes—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—22no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—22no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—84no—
1329C2×C4—84no—
1330C2×C4—84no—
1331C2×C4—162no—
1332C2×C4—162no—
1333C2×C4—162no—
1334C2×C4—162no—
1335C2×C4—162no—
1336C2×C4#54612yes—
1337C2×C4C22×#4111yescharacteristic
1338C2×C4C22×#4111yescharacteristic
1339C2×C4C2×H(5,𝔽2)11yescharacteristic
1340C2×C4C2×H(5,𝔽2)11yescharacteristic
1341C2×C4C2×H(5,𝔽2)11yescharacteristic
1342C2×C4#58511yescharacteristic
1343C8—22no—
1344C8—41no—
1345C8—41no—
1346C8—41no—
1347C8—41no—
1348C8—41no—
1349C8—41no—
1350C8—41no—
1351C22—22no—
1352C22—22no—
1353C22—24no—
1354C22—22no—
1355C22—42no—
1356C22—41no—
1357C22—42no—
1358C22—41no—
1359C22—42no—
1360C22—41no—
1361C22—42no—
1362C22—42no—
1363C22—41no—
1364C22—42no—
1365C22—41no—
1366C22—42no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—42no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—42no—
1381C22—41no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—168no—
1394C22—168no—
1395C22C2×#54611yescharacteristic
1396C22D4×#4111yescharacteristic
1397C22#348411yescharacteristic
1398C22#358411yescharacteristic
1399C22#358511yescharacteristic
1400C22#358511yescharacteristic
1401C22#358611yescharacteristic
1402C4—22no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—42no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—42no—
1413C4—41no—
1414C4—41no—
1415C4—81no—
1416C4—81no—
1417C4—81no—
1418C4—81no—
1419C4—81no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4C2×#55311yescharacteristic
1427C4#350511yescharacteristic
1428C4#351911yescharacteristic
1429C4#353411yescharacteristic
1430C2—42no—
1431C2—44no—
1432C2—81no—
1433C2—81no—
1434C2—82no—
1435C2—161no—
1436C2#5914211yescharacteristic
1437C2#6117511yescharacteristic
1438C2#6118811yescharacteristic
1439C2#6150911yescharacteristic
1440C2#6152711yescharacteristic
1441C2#6162511yescharacteristic
1442C2#6167011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35761C2
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. #45397C2semidirect
3. #32186C2semidirect
4. #32095C2semidirect
5. #32003C2semidirect
6. #31411C2semidirect
7. #29345C2semidirect
8. #29055C2semidirect
9. #28590C2semidirect
10. #28564C2semidirect
11. #27573C2semidirect
12. #27541C2semidirect
13. #27403C2semidirect
14. #27310C2semidirect
15. #26978C2semidirect
16. #26646C2semidirect
17. #26209C2semidirect
18. #26154C2semidirect
19. #24903C2semidirect
20. #24788C2semidirect
21. #24448C2semidirect
22. #24436C2semidirect
23. #24426C2semidirect
24. #24050C2semidirect
25. #23124C2semidirect
26. #22884C2semidirect
27. #22564C2semidirect
28. #22424C2semidirect
29. #22423C2semidirect
30. #21459C2semidirect
31. #20876C2semidirect
36. C2×#485C22semidirect
38. C2×#467C22semidirect
39. C2×#465C22semidirect
43. C2×#440C22semidirect
46. C2×#435C22semidirect
47. C2×#428C22semidirect
65. #2511C22semidirect
66. #2508C22semidirect
67. #2497C22semidirect
68. #2485C22semidirect
73. #2421C22semidirect
74. #2417C22semidirect
78. #2415C22semidirect
84. #2362C22semidirect
85. #2354C22semidirect
88. #2346C22semidirect
91. #2323C22semidirect
92. #2317C22semidirect
93. #2100C22semidirect
94. #2099C22semidirect
95. #2099C22semidirect
96. #2097C22semidirect
97. #2087C22semidirect
98. #2085C22semidirect
99. #2083C22semidirect
100. #2077C22semidirect
101. #2076C22semidirect
102. #2076C22semidirect
103. #2072C22semidirect
104. #2071C22semidirect
105. #2067C22semidirect
106. #2066C22semidirect
107. #2056C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
111. #2042C22semidirect
113. #2036C22semidirect
114. #2035C22semidirect
115. #2034C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2015C22semidirect
120. #2015C22semidirect
122. #2001C22semidirect
124. #2000C22semidirect
125. #1983C22semidirect
127. #1973C22semidirect
129. #1959C22semidirect
130. #1944C22semidirect
131. #1936C22semidirect
132. #1935C22semidirect
133. #1935C22semidirect
134. #1935C22semidirect
135. #1934C22semidirect
136. #1933C22semidirect
137. #1928C22semidirect
138. #1928C22semidirect
139. #1926C22semidirect
140. #1925C22semidirect
141. #1924C22semidirect
142. #1923C22semidirect
143. #1921C22semidirect
144. #1920C22semidirect
145. #1917C22semidirect
146. #1917C22semidirect
148. #1894C22semidirect
149. #1894C22semidirect
150. #1894C22semidirect
152. #1893C22semidirect
153. #1880C22semidirect
154. #1878C22semidirect
158. #1877C22semidirect
161. #1875C22semidirect
162. #1875C22semidirect
164. #1873C22semidirect
165. #1873C22semidirect
166. #1872C22semidirect
168. #1870C22semidirect
169. #1869C22semidirect
170. #1869C22semidirect
173. #1864C22semidirect
174. #1864C22semidirect
175. #1864C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1825C22semidirect
186. #1808C22semidirect
197. C4×#102C22semidirect
198. #1753C22semidirect
199. #1752C22semidirect
200. #1750C22semidirect
201. #1735C22semidirect
202. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#453972
#357612
#321862
#320952
#320032
#314112
#293452
#290552
#285902
#285642
#275732
#275412
#274032
#273102
#269782
#266462
#262092
#261542
#249032
#247882
#244482
#244362
#244262
#240502
#231242
#228842
#225642
#224242
#224232
#214592
#208762