Finite Group Databasebeta

← #7520293

Subgroups — #7520293

Order 512.

2077 conjugacy classes of subgroups.

The subgroup lattice has 1471 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3326C211yesmaximal, characteristic, complemented
2C2×#3105C211yesmaximal, characteristic, complemented
3#59037C211yesmaximal, characteristic, complemented
4#36440C211yesmaximal, characteristic, complemented
5#31065C211yesmaximal, characteristic, complemented
6#31063C211yesmaximal, characteristic, complemented
7#30424C211yesmaximal, characteristic, complemented
8#30412C211yesmaximal, characteristic, complemented
9#28537C211yesmaximal, characteristic, complemented
10#26554C211yesmaximal, characteristic, complemented
11#26548C211yesmaximal, characteristic, complemented
12#25707C211yesmaximal, characteristic, complemented
13#25675C211yesmaximal, characteristic, complemented
14#25344C211yesmaximal, characteristic, complemented
15#25326C211yesmaximal, characteristic, complemented
16#25038C211yesmaximal, characteristic, complemented
17#25037C211yesmaximal, characteristic, complemented
18#25026C211yesmaximal, characteristic, complemented
19#25024C211yesmaximal, characteristic, complemented
20#24898C211yesmaximal, characteristic, complemented
21#24895C211yesmaximal, characteristic, complemented
22#24881C211yesmaximal, characteristic, complemented
23#24880C211yesmaximal, characteristic, complemented
24#24705C211yesmaximal, characteristic, complemented
25#24686C211yesmaximal, characteristic, complemented
26#24244C211yesmaximal, characteristic, complemented
27#23104C211yesmaximal, characteristic, complemented
28#23087C211yesmaximal, characteristic, complemented
29#22885C211yesmaximal, characteristic, complemented
30#22878C211yesmaximal, characteristic, complemented
31C4×#450C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×#548C2211yescharacteristic, complemented
34C2×#529C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36#3326—28no—
37C2×#499C2211yescharacteristic, complemented
38C2×#488C2211yescharacteristic, complemented
39#3105—28no—
40C2×#484C2211yescharacteristic
41C2×#481C2211yescharacteristic
42C2×#482C2211yescharacteristic, complemented
43C2×#483C2211yescharacteristic, complemented
44C2×#479C2211yescharacteristic, complemented
45C2×#478C2211yescharacteristic
46C2×#478C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#463C2211yescharacteristic
50C2×#463C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#448C2211yescharacteristic
54C2×#448C2211yescharacteristic
55C2×#450C2211yescharacteristic
56C2×#450C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×C4×SD16C2211yescharacteristic
59C2×C4×SD16C2211yescharacteristic
60C2×C4×SD16C2211yescharacteristic
61C2×C4×SD16C2211yescharacteristic
62C2×C4×D8C2211yescharacteristic
63C2×C4×D8C2211yescharacteristic
64C2×#436C2211yescharacteristic, complemented
65C2×#431C2211yescharacteristic
66C2×#417C2211yescharacteristic, complemented
67C2×#419C2211yescharacteristic, complemented
68#2851C2211yescharacteristic
69#2849—21no—
70#2687—21no—
71#2671—21no—
72#2602—21no—
73#2600—21no—
74#2566C2211yescharacteristic
75#2565C2211yescharacteristic, complemented
76#2562C2211yescharacteristic, complemented
77#2537C2211yescharacteristic
78#2536C2211yescharacteristic
79#2535C2211yescharacteristic
80#2521—21no—
81#2480—21no—
82#2476—21no—
83#2468—21no—
84#2466—21no—
85#2459—21no—
86#2456—21no—
87#2438—21no—
88#2424—21no—
89#2423C2211yescharacteristic, complemented
90#2422C2211yescharacteristic
91#2420C2211yescharacteristic
92#2420C2211yescharacteristic, complemented
93#2409C2211yescharacteristic
94#2408C2211yescharacteristic
95#2408C2211yescharacteristic
96#2407C2211yescharacteristic
97#2367C2211yescharacteristic, complemented
98#2364—21no—
99#2363C2211yescharacteristic
100#2361C2211yescharacteristic
101#2357C2211yescharacteristic
102#2352C2211yescharacteristic
103D4×C4⋊C4C2211yescharacteristic
104Q8×C22⋊C4C2211yescharacteristic, complemented
105#2339C2211yescharacteristic, complemented
106C4×C22⋊Q8C2211yescharacteristic
107C4×#121C2211yescharacteristic
108C4×#120—21no—
109#2097C2211yescharacteristic, complemented
110#2096C2211yescharacteristic, complemented
111#2094C2211yescharacteristic
112#2092C2211yescharacteristic
113#2077C2211yescharacteristic
114#2077C2211yescharacteristic, complemented
115#2075C2211yescharacteristic
116#2075C2211yescharacteristic, complemented
117#2074C2211yescharacteristic, complemented
118#2073C2211yescharacteristic
119#2071C2211yescharacteristic
120#2071C2211yescharacteristic, complemented
121#2055C2211yescharacteristic
122#2055C2211yescharacteristic
123#2055C2211yescharacteristic
124#2054C2211yescharacteristic
125#2036C2211yescharacteristic
126#2036C2211yescharacteristic
127#2035C2211yescharacteristic
128#2035C2211yescharacteristic
129#2035C2211yescharacteristic, complemented
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic
138#2033C2211yescharacteristic
139#2000C2211yescharacteristic
140#1999C2211yescharacteristic
141#1991C2211yescharacteristic, complemented
142#1989C2211yescharacteristic, complemented
143#1973C2211yescharacteristic
144#1973C2211yescharacteristic
145#1973C2211yescharacteristic
146#1972C2211yescharacteristic
147#1958C2211yescharacteristic, complemented
148#1955C2211yescharacteristic
149#1955C2211yescharacteristic
150#1954C2211yescharacteristic, complemented
151#1949C2211yescharacteristic, complemented
152#1949C2211yescharacteristic, complemented
153#1948C2211yescharacteristic, complemented
154#1942C2211yescharacteristic, complemented
155#1941C2211yescharacteristic, complemented
156#1939C2211yescharacteristic, complemented
157#1933C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1928C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1895C2211yescharacteristic
166#1895C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1872C2211yescharacteristic
174#1870C2211yescharacteristic
175#1870C2211yescharacteristic
176#1865C2211yescharacteristic, complemented
177#1864C2211yescharacteristic
178#1864C2211yescharacteristic
179#1864C2211yescharacteristic, complemented
180#1863C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1854C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1853C2211yescharacteristic
185#1853C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1847C2211yescharacteristic, complemented
188#1847C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1770C2211yescharacteristic, complemented
198#1763C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic
201C4×#102C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204C4×C22⋊C8C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C24×C4—21no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217#553—24no—
218#553—42no—
219#548—24no—
220#548—42no—
221#529—24no—
222#529—42no—
223C2×#126—21no—
224C2×#126—21no—
225C2×#125C2311yescharacteristic
226C2×#125C2311yescharacteristic
227C2×#124—21no—
228C2×#124C2311yescharacteristic
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×C22⋊Q8—21no—
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121D411yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#120—21no—
247C2×#120—21no—
248C2×C4×Q8C2311yescharacteristic
249C2×C4×Q8C2311yescharacteristic
250C2×C4×Q8C2311yescharacteristic
251C2×C4×D4—21no—
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4—21no—
255C2×C4×D4—21no—
256C2×C4×D4—24no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—42no—
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117—21no—
270C2×#117C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C42C2311yescharacteristic
275#499—42no—
276#488—24no—
277#484—24no—
278#483—24no—
279#482—24no—
280#481—24no—
281#479—24no—
282#478—24no—
283#478—24no—
284#469—24no—
285#468—24no—
286#463—24no—
287#463D418yescomplemented
288#450—24no—
289#450—24no—
290#449—24no—
291#449—24no—
292#448—24no—
293#448—24no—
294#447—24no—
295C4×SD16—24no—
296C4×SD16—24no—
297C4×SD16—24no—
298C4×SD16—42no—
299C4×D8—24no—
300C4×D8—24no—
301#436—24no—
302#431—24no—
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#107C2311yescharacteristic
308C2×#107C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×#106C2311yescharacteristic
312C2×#106C2311yescharacteristic
313C2×#106C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321#419—24no—
322#417—24no—
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×#97C2311yescharacteristic
363C2×C4×C8C2311yescharacteristic
364C2×C4×C8C2311yescharacteristic
365C2×C4×C8C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367#400—21no—
368#399—21no—
369#398—21no—
370#398—21no—
371#398—21no—
372#398—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#396—21no—
378#396—21no—
379#395—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#393—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#391—21no—
396#391—21no—
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#390—21no—
402#390D411yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389D411yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388D411yescharacteristic
426#388D411yescharacteristic
427#387—21no—
428#387—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#386—21no—
435#386—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#386D411yescharacteristic
446#386D411yescharacteristic
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#384C2311yescharacteristic
460#384C2311yescharacteristic
461#382C2311yescharacteristic
462#382C2311yescharacteristic
463#382C2311yescharacteristic
464#381—21no—
465#381—21no—
466#381—21no—
467#381—21no—
468#380—21no—
469#380—21no—
470#380D411yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#379—21no—
481#379—21no—
482C4×C4⋊C4—21no—
483C4×C4⋊C4C2311yescharacteristic
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C4⋊C4C2311yescharacteristic
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489C4×C22⋊C4—21no—
490C4×C22⋊C4—21no—
491C4×C22⋊C4—21no—
492C4×C22⋊C4—21no—
493C4×C22⋊C4C2311yescharacteristic
494C4×C22⋊C4C2311yescharacteristic
495C2×#95—21no—
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518C25—21no—
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C22×Q8—21no—
526C22×Q8—22no—
527C22×Q8—22no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8C2411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4C2×D411yescharacteristic
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—44no—
565C23×C4—82no—
566C23×C4—82no—
567C23×C4C2×D411yescharacteristic
568C23×C4C2×D411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16C2×D414yes—
583C2×SD16#4114yes—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8C2×D414yes—
590C2×M16—22no—
591C2×M16—22no—
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604#126—44no—
605#126—44no—
606#125—22no—
607#125—22no—
608#125—22no—
609#125—22no—
610#124—22no—
611#124—44no—
612#124C2×D414yes—
613#123—44no—
614#123—44no—
615#123—82no—
616C22⋊Q8—22no—
617C22⋊Q8—22no—
618C22⋊Q8—22no—
619C22⋊Q8—44no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623#121—22no—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—44no—
630#121—44no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—42no—
638#121—44no—
639#120—44no—
640#120—82no—
641C4×Q8—22no—
642C4×Q8—22no—
643C4×Q8—22no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—22no—
650C4×D4—22no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—44no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—44no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—44no—
667C4×D4—44no—
668C4×D4—44no—
669C4×D4—82no—
670C4×D4—82no—
671C4×D4C2×D414yes—
672#117—22no—
673#117—44no—
674#117—41no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—21no—
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—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4—41no—
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×C4⋊C4C2411yescharacteristic
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—44no—
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C42—22no—
763C2×C42—22no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42C2×D411yescharacteristic
772C2×C42C2×D411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777#107—22no—
778#107—22no—
779#107—22no—
780#107—41no—
781#107—41no—
782#107—41no—
783#106—22no—
784#106—22no—
785#106—22no—
786#106—22no—
787#106—41no—
788#106—41no—
789#106—41no—
790#106—41no—
791C4⋊C8—22no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794C4⋊C8C2×D414yes—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—22no—
803#103—22no—
804#103—41no—
805#103—41no—
806#103C2×D414yes—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102C2×D414yes—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833#97—41no—
834#97—41no—
835C4×C8—22no—
836C4×C8—22no—
837C4×C8—22no—
838C4×C8—22no—
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#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—21no—
875C24—21no—
876C24—21no—
877C24—42no—
878C24—42no—
879C24—42no—
880C24—42no—
881C24—42no—
882C24—81no—
883C24—81no—
884C24C22×D411yescharacteristic
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887#41—44no—
888#41—82no—
889#41—82no—
890#41—82no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—42no—
902C2×Q8—42no—
903C2×Q8—44no—
904C2×Q8—81no—
905C2×Q8—82no—
906C2×Q8—82no—
907C2×Q8—82no—
908C2×Q8C22×D412yes—
909C2×Q8C2×#4112yes—
910C2×D4—22no—
911C2×D4—22no—
912C2×D4—22no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—42no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
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×D4C22×D412yes—
963C2×D4C22×D412yes—
964C2×D4C2×#4112yes—
965C22×C4—22no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—22no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—21no—
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—24no—
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—41no—
1002C22×C4—41no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—816no—
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C2511yescharacteristic
1045SD16—44no—
1046SD16—44no—
1047SD16—44no—
1048SD16—44no—
1049D8—44no—
1050D8—44no—
1051M16—82no—
1052M16—82no—
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—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8C22×D412yes—
1075C2×C8C22×D412yes—
1076C2×C8C2×#4112yes—
1077C4⋊C4—22no—
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—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4C22×D412yes—
1123C22⋊C4—24no—
1124C22⋊C4—24no—
1125C22⋊C4—24no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
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—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
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—22no—
1171C42—22no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—42no—
1179C42—42no—
1180C42—42no—
1181C42—81no—
1182C42—81no—
1183C42—81no—
1184C42—81no—
1185C42C22×D412yes—
1186C42H(5,𝔽2)12yes—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—22no—
1198C23—22no—
1199C23—21no—
1200C23—21no—
1201C23—22no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—48no—
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—84no—
1230C23—84no—
1231C23—84no—
1232C23—84no—
1233C23—84no—
1234C23—84no—
1235C23#57512yes—
1236C23C23×D411yescharacteristic
1237Q8—22no—
1238Q8—22no—
1239Q8—22no—
1240Q8—22no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—41no—
1245Q8—84no—
1246D4—22no—
1247D4—22no—
1248D4—22no—
1249D4—22no—
1250D4—22no—
1251D4—22no—
1252D4—44no—
1253D4—48no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—82no—
1261D4—82no—
1262D4—84no—
1263D4—84no—
1264D4—84no—
1265D4—84no—
1266D4—84no—
1267D4—162no—
1268D4—162no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—22no—
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—21no—
1302C2×C4—44no—
1303C2×C4—44no—
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—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—84no—
1353C2×C4—84no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—84no—
1358C2×C4—84no—
1359C2×C4—84no—
1360C2×C4—162no—
1361C2×C4—162no—
1362C2×C4D4212yes—
1363C2×C4D4212yes—
1364C2×C4#57712yes—
1365C2×C4C23×D411yescharacteristic
1366C2×C4C22×#4111yescharacteristic
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4#58511yescharacteristic
1369C2×C4#58511yescharacteristic
1370C2×C4#58511yescharacteristic
1371C8—22no—
1372C8—22no—
1373C8—22no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C8—41no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—42no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—42no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—42no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—41no—
1408C22—41no—
1409C22—816no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22C2×D4211yescharacteristic
1423C22D4×#4111yescharacteristic
1424C22#348511yescharacteristic
1425C22C2×#57511yescharacteristic
1426C22C2×#57711yescharacteristic
1427C22#358411yescharacteristic
1428C22#358511yescharacteristic
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—42no—
1441C4—42no—
1442C4—42no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4D4×#4111yescharacteristic
1454C4#348511yescharacteristic
1455C4#350511yescharacteristic
1456C4#354011yescharacteristic
1457C2—42no—
1458C2—81no—
1459C2—81no—
1460C2—82no—
1461C2—82no—
1462C2—82no—
1463C2#5900011yescharacteristic
1464C2#6103011yescharacteristic
1465C2#6107111yescharacteristic
1466C2#6144511yescharacteristic
1467C2#6153511yescharacteristic
1468C2#6171811yescharacteristic
1469C2#6178511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3326C2semidirect
2. C2×#3105C2semidirect
3. #59037C2semidirect
4. #36440C2semidirect
5. #31065C2semidirect
6. #31063C2semidirect
7. #30424C2semidirect
8. #30412C2semidirect
9. #28537C2semidirect
10. #26554C2semidirect
11. #26548C2semidirect
12. #25707C2semidirect
13. #25675C2semidirect
14. #25344C2semidirect
15. #25326C2semidirect
16. #25038C2semidirect
17. #25037C2semidirect
18. #25026C2semidirect
19. #25024C2semidirect
20. #24898C2semidirect
21. #24895C2semidirect
22. #24881C2semidirect
23. #24880C2semidirect
24. #24705C2semidirect
25. #24686C2semidirect
26. #24244C2semidirect
27. #23104C2semidirect
28. #23087C2semidirect
29. #22885C2semidirect
30. #22878C2semidirect
31. C4×#450C2semidirect
33. C2×#548C22semidirect
37. C2×#499C22semidirect
38. C2×#488C22semidirect
42. C2×#482C22semidirect
43. C2×#483C22semidirect
44. C2×#479C22semidirect
64. C2×#436C22semidirect
66. C2×#417C22semidirect
67. C2×#419C22semidirect
75. #2565C22semidirect
76. #2562C22semidirect
89. #2423C22semidirect
92. #2420C22semidirect
97. #2367C22semidirect
104. Q8×C22⋊C4C22semidirect
105. #2339C22semidirect
109. #2097C22semidirect
110. #2096C22semidirect
114. #2077C22semidirect
116. #2075C22semidirect
117. #2074C22semidirect
120. #2071C22semidirect
129. #2035C22semidirect
134. #2034C22semidirect
141. #1991C22semidirect
142. #1989C22semidirect
147. #1958C22semidirect
150. #1954C22semidirect
151. #1949C22semidirect
152. #1949C22semidirect
153. #1948C22semidirect
154. #1942C22semidirect
155. #1941C22semidirect
156. #1939C22semidirect
157. #1933C22semidirect
158. #1933C22semidirect
159. #1928C22semidirect
160. #1927C22semidirect
161. #1927C22semidirect
162. #1925C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
176. #1865C22semidirect
179. #1864C22semidirect
180. #1863C22semidirect
181. #1862C22semidirect
182. #1854C22semidirect
183. #1854C22semidirect
185. #1853C22semidirect
186. #1852C22semidirect
187. #1847C22semidirect
188. #1847C22semidirect
189. #1809C22semidirect
190. #1809C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
194. #1788C22semidirect
195. #1787C22semidirect
197. #1770C22semidirect
198. #1763C22semidirect
199. #1762C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
287. #463D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33262
C2×#31052
#590372
#364402
#310652
#310632
#304242
#304122
#285372
#265542
#265482
#257072
#256752
#253442
#253262
#250382
#250372
#250262
#250242
#248982
#248952
#248812
#248802
#247052
#246862
#242442
#231042
#230872
#228852
#228782
C4×#4502