Finite Group Databasebeta

← #7006294

Subgroups — #7006294

Order 512.

2127 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3316C211yesmaximal, characteristic, complemented
2C2×#3282C211yesmaximal, characteristic, complemented
3#45417C211yesmaximal, characteristic, complemented
4#42950C211yesmaximal, characteristic, complemented
5#31217C211yesmaximal, characteristic, complemented
6#31163C211yesmaximal, characteristic, complemented
7#31069C211yesmaximal, characteristic, complemented
8#31032C211yesmaximal, characteristic, complemented
9#30664C211yesmaximal, characteristic, complemented
10#30603C211yesmaximal, characteristic, complemented
11#30535C211yesmaximal, characteristic, complemented
12#30457C211yesmaximal, characteristic, complemented
13#28328C211yesmaximal, characteristic, complemented
14#26824C211yesmaximal, characteristic, complemented
15#26551C211yesmaximal, characteristic, complemented
16#26263C211yesmaximal, characteristic, complemented
17#25543C211yesmaximal, characteristic, complemented
18#25236C211yesmaximal, characteristic, complemented
19#25123C211yesmaximal, characteristic, complemented
20#25114C211yesmaximal, characteristic, complemented
21#25086C211yesmaximal, characteristic, complemented
22#24918C211yesmaximal, characteristic, complemented
23#24769C211yesmaximal, characteristic, complemented
24#24449C211yesmaximal, characteristic, complemented
25#24357C211yesmaximal, characteristic, complemented
26#24264C211yesmaximal, characteristic, complemented
27#24048C211yesmaximal, characteristic, complemented
28#23854C211yesmaximal, characteristic, complemented
29#23543C211yesmaximal, characteristic, complemented
30#22991C211yesmaximal, characteristic, complemented
31#22059C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34C2×#554C2211yescharacteristic, complemented
35C2×#548C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#546C2211yescharacteristic
38#3316—28no—
39#3282—28no—
40C2×#495C2211yescharacteristic
41C2×#489C2211yescharacteristic
42C2×#481C2211yescharacteristic
43C2×#481C2211yescharacteristic
44C2×#483C2211yescharacteristic, complemented
45C2×#475C2211yescharacteristic, complemented
46C2×#470C2211yescharacteristic, complemented
47C2×#465C2211yescharacteristic
48C2×#465C2211yescharacteristic
49C2×#465C2211yescharacteristic
50C2×#465C2211yescharacteristic
51C2×#464C2211yescharacteristic
52C2×#464C2211yescharacteristic
53C2×#464C2211yescharacteristic
54C2×#463C2211yescharacteristic
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic
58C2×#451C2211yescharacteristic
59C2×#451C2211yescharacteristic
60C2×#451C2211yescharacteristic, complemented
61C2×#451C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic
64C2×#441C2211yescharacteristic, complemented
65C2×C4×SD16C2211yescharacteristic
66C2×#435C2211yescharacteristic, complemented
67C2×C8×D4C2211yescharacteristic
68C2×C8×D4C2211yescharacteristic
69C2×#424C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic
71C2×#417C2211yescharacteristic, complemented
72C22×#103C2211yescharacteristic, complemented
73#2814—21no—
74#2704—21no—
75#2700—21no—
76#2692—21no—
77#2686—21no—
78#2684—21no—
79#2672—21no—
80#2671—21no—
81#2668—21no—
82#2630—21no—
83#2626—21no—
84#2620C2211yescharacteristic
85#2534—21no—
86#2491C2211yescharacteristic
87#2486C2211yescharacteristic
88#2464—21no—
89#2460—21no—
90#2459—21no—
91#2451C2211yescharacteristic, complemented
92#2448C2211yescharacteristic
93#2448C2211yescharacteristic, complemented
94#2447C2211yescharacteristic
95#2436C2211yescharacteristic
96#2435C2211yescharacteristic
97#2427—21no—
98#2426C2211yescharacteristic, complemented
99#2423C2211yescharacteristic
100#2422C2211yescharacteristic
101#2417C2211yescharacteristic
102#2416C2211yescharacteristic
103#2416C2211yescharacteristic
104#2409C2211yescharacteristic
105#2409C2211yescharacteristic
106#2408C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2392C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110Q8×C22⋊C4C2211yescharacteristic
111#2323C2211yescharacteristic, complemented
112#2311C2211yescharacteristic
113#2311C2211yescharacteristic, complemented
114#2096C2211yescharacteristic, complemented
115#2094C2211yescharacteristic, complemented
116#2088C2211yescharacteristic, complemented
117#2077C2211yescharacteristic
118#2066C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic
121#2065C2211yescharacteristic, complemented
122#2058C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2056C2211yescharacteristic, complemented
126#2055C2211yescharacteristic
127#2055C2211yescharacteristic
128#2055C2211yescharacteristic
129#2055C2211yescharacteristic
130#2055C2211yescharacteristic, complemented
131#2055C2211yescharacteristic, complemented
132#2054C2211yescharacteristic
133#2054C2211yescharacteristic
134#2042C2211yescharacteristic
135#2042C2211yescharacteristic
136#2042C2211yescharacteristic, complemented
137#2035C2211yescharacteristic
138#2035C2211yescharacteristic
139#2035C2211yescharacteristic
140#2035C2211yescharacteristic, complemented
141#2035C2211yescharacteristic, complemented
142#2034C2211yescharacteristic
143#2023C2211yescharacteristic
144#2015C2211yescharacteristic
145#2015C2211yescharacteristic
146#2015C2211yescharacteristic, complemented
147#2012C2211yescharacteristic
148#2012C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1983C2211yescharacteristic
155#1972C2211yescharacteristic
156#1972C2211yescharacteristic
157#1971C2211yescharacteristic, complemented
158#1971C2211yescharacteristic, complemented
159#1968C2211yescharacteristic
160#1968C2211yescharacteristic
161#1968C2211yescharacteristic, complemented
162#1955C2211yescharacteristic
163#1948C2211yescharacteristic, complemented
164#1941C2211yescharacteristic, complemented
165#1939C2211yescharacteristic, complemented
166#1936C2211yescharacteristic
167#1935C2211yescharacteristic, complemented
168#1933C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1926C2211yescharacteristic
172#1924C2211yescharacteristic
173#1923C2211yescharacteristic, complemented
174#1895C2211yescharacteristic
175#1893C2211yescharacteristic, complemented
176#1892C2211yescharacteristic
177#1892C2211yescharacteristic, complemented
178#1880C2211yescharacteristic
179#1880C2211yescharacteristic
180#1880C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1874C2211yescharacteristic
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic
187#1869C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1864C2211yescharacteristic
191#1864C2211yescharacteristic
192#1853C2211yescharacteristic, complemented
193#1853C2211yescharacteristic, complemented
194#1850C2211yescharacteristic
195#1850C2211yescharacteristic, complemented
196#1807C2211yescharacteristic
197#1803C2211yescharacteristic, complemented
198#1788C2211yescharacteristic
199#1787C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1771C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×#135—24no—
211C2×#135—42no—
212C2×#135—42no—
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16—24no—
218C22×SD16—42no—
219C22×SD16—42no—
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#554—24no—
233#554—42no—
234#548—24no—
235#548—24no—
236#548—42no—
237#548—42no—
238#546—24no—
239#546—42no—
240C2×C4⋊Q8C2311yescharacteristic
241C2×#125—21no—
242C2×#124—21no—
243C2×#124—21no—
244C2×#124—21no—
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#120—21no—
273C2×#120—21no—
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×Q8C2311yescharacteristic
277C2×C4×Q8C2311yescharacteristic
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C22⋊C4—21no—
290#495—24no—
291#489—24no—
292#483—24no—
293#481—24no—
294#481—42no—
295#475—24no—
296#470—24no—
297#465—24no—
298#465—24no—
299#465—24no—
300#465—42no—
301#464—24no—
302#464—24no—
303#464—42no—
304#463—24no—
305#452—42no—
306#452D418yescomplemented
307#451—24no—
308#451—24no—
309#451—42no—
310#451—42no—
311#449—24no—
312#448—42no—
313#447—24no—
314#441—24no—
315C4×SD16—24no—
316#435—24no—
317C8×D4—24no—
318C8×D4—42no—
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×#106C2311yescharacteristic
322C2×#106C2311yescharacteristic
323C2×#106C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327#424—42no—
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334#417—24no—
335#417—42no—
336C2×#103—24no—
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×#97C2311yescharacteristic
378C2×#97C2311yescharacteristic
379C2×C4×C8C2311yescharacteristic
380C2×C4×C8C2311yescharacteristic
381#399—21no—
382#399—21no—
383#399—21no—
384#398—21no—
385#398—21no—
386#398—21no—
387#398—21no—
388#398D411yescharacteristic
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397D411yescharacteristic
396#396—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396D411yescharacteristic
403#396D411yescharacteristic
404#395—21no—
405#395—21no—
406#395—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394D411yescharacteristic
419#394D411yescharacteristic
420#394D411yescharacteristic
421#393—21no—
422#393—21no—
423#393—21no—
424#393—21no—
425#393—21no—
426#392—21no—
427#392—21no—
428#392D411yescharacteristic
429#391—21no—
430#391—21no—
431#391—21no—
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#390—21no—
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389—21no—
449#389—21no—
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#387—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#384C2311yescharacteristic
487#381—21no—
488#381—21no—
489#380—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380—21no—
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#379—21no—
501#379—21no—
502#379—21no—
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C22⋊C4—21no—
506C4×C22⋊C4—21no—
507C4×C22⋊C4C2311yescharacteristic
508C4×C22⋊C4C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41C2×D414yes—
540C22×Q8—21no—
541C22×Q8—21no—
542C22×Q8—21no—
543C22×Q8—22no—
544C22×Q8—22no—
545C22×Q8—22no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8—41no—
552C22×Q8—41no—
553C22×Q8—41no—
554C22×Q8—41no—
555C22×Q8C2411yescharacteristic
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×D4—21no—
560C22×D4—22no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4C2×D411yescharacteristic
574C22×D4C2×D411yescharacteristic
575C22×D4C2×D411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590#135—416no—
591C2×Q16—22no—
592C2×Q16—22no—
593C2×Q16—22no—
594C2×Q16—22no—
595C2×Q16—41no—
596C2×Q16—41no—
597C2×Q16—41no—
598C2×Q16—41no—
599C2×Q16—41no—
600C2×Q16—41no—
601C2×Q16—41no—
602C2×Q16C2×D414yes—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—416no—
621C2×SD16C2×D414yes—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×M16—22no—
629C2×M16—41no—
630C2×M16—41no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—22no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C4⋊Q8—22no—
649C4⋊Q8—41no—
650#125—44no—
651#124—22no—
652#124—22no—
653#124—22no—
654#124—41no—
655#124—41no—
656#124—41no—
657#124—41no—
658#124—41no—
659#124—44no—
660#124—44no—
661#124—82no—
662#123—44no—
663#123—82no—
664#123—82no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—22no—
668C22⋊Q8—22no—
669C22⋊Q8—22no—
670C22⋊Q8—22no—
671C22⋊Q8—44no—
672C22⋊Q8—44no—
673C22⋊Q8—44no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—44no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8C2×D414yes—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—44no—
686#121—44no—
687#121—41no—
688#121—41no—
689#121—44no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—82no—
695#121—82no—
696#120—44no—
697#120—82no—
698C4×Q8—22no—
699C4×Q8—22no—
700C4×Q8—22no—
701C4×Q8—41no—
702C4×Q8—41no—
703C4×Q8—41no—
704C4×Q8—41no—
705C4×Q8—41no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—44no—
715C4×D4—44no—
716C4×D4—44no—
717#117—41no—
718#117—41no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—22no—
722C2×C4⋊C4—22no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4—41no—
745C2×C4⋊C4—41no—
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—44no—
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C42—21no—
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
819C2×C42C2411yescharacteristic
820C2×C42C2411yescharacteristic
821C2×C42C2411yescharacteristic
822C2×C42C2411yescharacteristic
823#106—22no—
824#106—22no—
825#106—22no—
826#106—22no—
827#106—41no—
828#106—41no—
829#106—41no—
830#106—41no—
831C4⋊C8—22no—
832C4⋊C8—22no—
833C4⋊C8—22no—
834C4⋊C8—22no—
835C4⋊C8—41no—
836C4⋊C8—41no—
837#103—22no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103C2×D414yes—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102C2×D414yes—
869C22⋊C8—22no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8—41no—
876C22⋊C8C2×D414yes—
877#97—22no—
878#97—41no—
879C4×C8—22no—
880C4×C8—41no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914C24—21no—
915C24—21no—
916C24—21no—
917C24—42no—
918C24—42no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24C22×D411yescharacteristic
925C24C22×D411yescharacteristic
926C24C22×D411yescharacteristic
927#41—44no—
928#41—44no—
929#41—44no—
930#41—44no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—42no—
957C2×Q8—42no—
958C2×Q8—42no—
959C2×Q8—42no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—81no—
963C2×Q8—81no—
964C2×Q8—81no—
965C2×Q8—81no—
966C2×Q8—81no—
967C2×Q8—82no—
968C2×Q8—82no—
969C2×Q8—82no—
970C2×Q8—82no—
971C2×Q8—82no—
972C2×Q8—82no—
973C2×Q8C22×D412yes—
974C2×Q8C22×D412yes—
975C2×Q8H(5,𝔽2)12yes—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—24no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—44no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4C22×D412yes—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—24no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—42no—
1065C22×C4—42no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—81no—
1080C22×C4—81no—
1081C22×C4—81no—
1082C22×C4—81no—
1083C22×C4—81no—
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C22×D411yescharacteristic
1089C22×C4C22×D411yescharacteristic
1090C22×C4C22×D411yescharacteristic
1091C22×C4C22×D411yescharacteristic
1092C22×C4C22×D411yescharacteristic
1093C22×C4C22×D411yescharacteristic
1094C22×C4C22×D411yescharacteristic
1095C22×C4C22×D412yes—
1096C22×C4H(5,𝔽2)12yes—
1097C22×C4C2511yescharacteristic
1098Q16—44no—
1099Q16—44no—
1100Q16—82no—
1101Q16—82no—
1102SD16—28no—
1103SD16—44no—
1104SD16—44no—
1105SD16—44no—
1106SD16—44no—
1107SD16—82no—
1108D8—44no—
1109D8—82no—
1110M16—82no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—44no—
1133C2×C8—44no—
1134C2×C8—82no—
1135C2×C8C22×D412yes—
1136C2×C8C22×D412yes—
1137C2×C8H(5,𝔽2)12yes—
1138C4⋊C4—24no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4—81no—
1176C4⋊C4—81no—
1177C4⋊C4—81no—
1178C4⋊C4—81no—
1179C4⋊C4—81no—
1180C4⋊C4—81no—
1181C4⋊C4—81no—
1182C4⋊C4—81no—
1183C4⋊C4C22×D412yes—
1184C22⋊C4—24no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C42—21no—
1236C42—21no—
1237C42—21no—
1238C42—21no—
1239C42—21no—
1240C42—21no—
1241C42—21no—
1242C42—21no—
1243C42—42no—
1244C42—42no—
1245C42—42no—
1246C42—81no—
1247C42—81no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—22no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—84no—
1288C23—84no—
1289C23—162no—
1290C23—162no—
1291C23—162no—
1292C23—162no—
1293C23—162no—
1294C23D4212yes—
1295C23#57712yes—
1296C23#57712yes—
1297C23C23×D411yescharacteristic
1298Q8—22no—
1299Q8—22no—
1300Q8—22no—
1301Q8—22no—
1302Q8—22no—
1303Q8—22no—
1304Q8—41no—
1305Q8—41no—
1306Q8—41no—
1307Q8—41no—
1308Q8—41no—
1309Q8—41no—
1310Q8—41no—
1311Q8—41no—
1312Q8—41no—
1313Q8—41no—
1314Q8—84no—
1315Q8—84no—
1316Q8—162no—
1317D4—22no—
1318D4—22no—
1319D4—44no—
1320D4—44no—
1321D4—44no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—84no—
1333D4—84no—
1334D4—84no—
1335D4—84no—
1336D4—84no—
1337D4—162no—
1338D4—162no—
1339D4—162no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—22no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—84no—
1424C2×C4—84no—
1425C2×C4—84no—
1426C2×C4—84no—
1427C2×C4—162no—
1428C2×C4—162no—
1429C2×C4—162no—
1430C2×C4—162no—
1431C2×C4D4212yes—
1432C2×C4C23×D411yescharacteristic
1433C2×C4C2×H(5,𝔽2)11yescharacteristic
1434C2×C4C2×H(5,𝔽2)11yescharacteristic
1435C2×C4C2×H(5,𝔽2)11yescharacteristic
1436C2×C4#58511yescharacteristic
1437C2×C4#58511yescharacteristic
1438C8—22no—
1439C8—22no—
1440C8—22no—
1441C8—41no—
1442C8—41no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—168no—
1489C22C2×D4211yescharacteristic
1490C22#348811yescharacteristic
1491C22#349611yescharacteristic
1492C22C2×#57711yescharacteristic
1493C22C2×#57711yescharacteristic
1494C22#358411yescharacteristic
1495C22#358611yescharacteristic
1496C4—22no—
1497C4—41no—
1498C4—41no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—42no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4#348411yescharacteristic
1521C4#348511yescharacteristic
1522C4#353411yescharacteristic
1523C4#355811yescharacteristic
1524C2—42no—
1525C2—42no—
1526C2—42no—
1527C2—82no—
1528C2—161no—
1529C2—161no—
1530C2#4302311yescharacteristic
1531C2#6105511yescharacteristic
1532C2#6107511yescharacteristic
1533C2#6202111yescharacteristic
1534C2#6206611yescharacteristic
1535C2#6226911yescharacteristic
1536C2#6234811yescharacteristic
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. C2×#3316C2semidirect
2. C2×#3282C2semidirect
3. #45417C2semidirect
4. #42950C2semidirect
5. #31217C2semidirect
6. #31163C2semidirect
7. #31069C2semidirect
8. #31032C2semidirect
9. #30664C2semidirect
10. #30603C2semidirect
11. #30535C2semidirect
12. #30457C2semidirect
13. #28328C2semidirect
14. #26824C2semidirect
15. #26551C2semidirect
16. #26263C2semidirect
17. #25543C2semidirect
18. #25236C2semidirect
19. #25123C2semidirect
20. #25114C2semidirect
21. #25086C2semidirect
22. #24918C2semidirect
23. #24769C2semidirect
24. #24449C2semidirect
25. #24357C2semidirect
26. #24264C2semidirect
27. #24048C2semidirect
28. #23854C2semidirect
29. #23543C2semidirect
30. #22991C2semidirect
31. #22059C2semidirect
34. C2×#554C22semidirect
44. C2×#483C22semidirect
45. C2×#475C22semidirect
46. C2×#470C22semidirect
56. C2×#452C22semidirect
60. C2×#451C22semidirect
61. C2×#451C22semidirect
62. C2×#448C22semidirect
64. C2×#441C22semidirect
66. C2×#435C22semidirect
69. C2×#424C22semidirect
71. C2×#417C22semidirect
72. C22×#103C22semidirect
91. #2451C22semidirect
93. #2448C22semidirect
98. #2426C22semidirect
107. #2407C22semidirect
109. #2360C22semidirect
111. #2323C22semidirect
113. #2311C22semidirect
114. #2096C22semidirect
115. #2094C22semidirect
116. #2088C22semidirect
118. #2066C22semidirect
119. #2066C22semidirect
121. #2065C22semidirect
122. #2058C22semidirect
123. #2056C22semidirect
124. #2056C22semidirect
125. #2056C22semidirect
130. #2055C22semidirect
131. #2055C22semidirect
136. #2042C22semidirect
140. #2035C22semidirect
141. #2035C22semidirect
146. #2015C22semidirect
157. #1971C22semidirect
158. #1971C22semidirect
161. #1968C22semidirect
163. #1948C22semidirect
164. #1941C22semidirect
165. #1939C22semidirect
167. #1935C22semidirect
168. #1933C22semidirect
169. #1933C22semidirect
170. #1927C22semidirect
173. #1923C22semidirect
175. #1893C22semidirect
177. #1892C22semidirect
180. #1880C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
185. #1872C22semidirect
187. #1869C22semidirect
188. #1865C22semidirect
189. #1865C22semidirect
192. #1853C22semidirect
193. #1853C22semidirect
195. #1850C22semidirect
197. #1803C22semidirect
202. #1771C22semidirect
203. #1750C22semidirect
204. C2×#340C22semidirect
306. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33162
C2×#32822
#454172
#429502
#312172
#311632
#310692
#310322
#306642
#306032
#305352
#304572
#283282
#268242
#265512
#262632
#255432
#252362
#251232
#251142
#250862
#249182
#247692
#244492
#243572
#242642
#240482
#238542
#235432
#229912
#220592