Finite Group Databasebeta

← #6669152

Subgroups — #6669152

Order 512.

2168 conjugacy classes of subgroups.

The subgroup lattice has 1511 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3267C211yesmaximal, characteristic
2C2×#3040C211yesmaximal, characteristic, complemented
3#38918C211yesmaximal, characteristic, complemented
4#36217C211yesmaximal, characteristic, complemented
5#33011C211yesmaximal, characteristic, complemented
6#31221C211yesmaximal, characteristic, complemented
7#31215C211yesmaximal, characteristic, complemented
8#31007C211yesmaximal, characteristic, complemented
9#30991C211yesmaximal, characteristic, complemented
10#30754C211yesmaximal, characteristic, complemented
11#30754C211yesmaximal, characteristic, complemented
12#30594C211yesmaximal, characteristic, complemented
13#30590C211yesmaximal, characteristic, complemented
14#29783C211yesmaximal, characteristic, complemented
15#29626C211yesmaximal, characteristic, complemented
16#28355C211yesmaximal, characteristic, complemented
17#28102C211yesmaximal, characteristic, complemented
18#26180C211yesmaximal, characteristic, complemented
19#26176C211yesmaximal, characteristic, complemented
20#25170C211yesmaximal, characteristic, complemented
21#25150C211yesmaximal, characteristic, complemented
22#24745C211yesmaximal, characteristic, complemented
23#24727C211yesmaximal, characteristic, complemented
24#24538C211yesmaximal, characteristic, complemented
25#24376C211yesmaximal, characteristic, complemented
26#24365C211yesmaximal, characteristic, complemented
27#24365C211yesmaximal, characteristic, complemented
28#24050C211yesmaximal, characteristic, complemented
29#23865C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#22071C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C2×#547C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#3267—28no—
40C2×#497C2211yescharacteristic
41C2×#485C2211yescharacteristic
42C2×#470C2211yescharacteristic
43C2×#465C2211yescharacteristic
44#3040—28no—
45C2×#464C2211yescharacteristic
46C2×#464C2211yescharacteristic
47C2×#464C2211yescharacteristic
48C2×#464C2211yescharacteristic
49C2×#463C2211yescharacteristic
50C2×#463C2211yescharacteristic
51C2×#463C2211yescharacteristic
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic
54C2×#461C2211yescharacteristic
55C2×#461C2211yescharacteristic, complemented
56C2×#461C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#451C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#442C2211yescharacteristic
65C2×#442C2211yescharacteristic
66C2×C4×D8C2211yescharacteristic
67C2×#435C2211yescharacteristic
68C2×#423C2211yescharacteristic
69C2×#419C2211yescharacteristic
70C2×#418C2211yescharacteristic
71#2855C2211yescharacteristic
72#2855C2211yescharacteristic
73#2853—21no—
74#2717—21no—
75#2717—21no—
76#2686—21no—
77#2686—21no—
78#2622—21no—
79#2547C2211yescharacteristic
80#2547C2211yescharacteristic
81#2499C2211yescharacteristic
82#2498—21no—
83#2485C2211yescharacteristic
84#2484—21no—
85#2483—21no—
86#2447C2211yescharacteristic
87#2447C2211yescharacteristic
88#2446C2211yescharacteristic, complemented
89#2446C2211yescharacteristic, complemented
90#2444—21no—
91#2443—21no—
92#2434C2211yescharacteristic
93#2432C2211yescharacteristic
94#2432C2211yescharacteristic
95#2427C2211yescharacteristic
96#2427C2211yescharacteristic
97#2423C2211yescharacteristic, complemented
98#2421C2211yescharacteristic, complemented
99#2419—21no—
100#2419—21no—
101#2412—21no—
102#2409C2211yescharacteristic
103#2349C2211yescharacteristic, complemented
104D4×C4⋊C4C2211yescharacteristic, complemented
105#2339C2211yescharacteristic
106#2339C2211yescharacteristic, complemented
107#2339C2211yescharacteristic, complemented
108D4×C22⋊C4C2211yescharacteristic
109#2315—21no—
110C4×#123C2211yescharacteristic
111C2×#387—21no—
112#2097C2211yescharacteristic, complemented
113#2096C2211yescharacteristic, complemented
114#2088C2211yescharacteristic, complemented
115#2088C2211yescharacteristic, complemented
116#2073C2211yescharacteristic
117#2071C2211yescharacteristic
118#2068C2211yescharacteristic, complemented
119#2068C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2056C2211yescharacteristic, complemented
126#2056C2211yescharacteristic, complemented
127#2056C2211yescharacteristic, complemented
128#2055C2211yescharacteristic
129#2055C2211yescharacteristic
130#2042C2211yescharacteristic
131#2042C2211yescharacteristic
132#2042C2211yescharacteristic
133#2042C2211yescharacteristic
134#2042C2211yescharacteristic
135#2042C2211yescharacteristic
136#2036C2211yescharacteristic, complemented
137#2035C2211yescharacteristic, complemented
138#2034C2211yescharacteristic
139#2033C2211yescharacteristic
140#2016C2211yescharacteristic, complemented
141#2016C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2016C2211yescharacteristic, complemented
145#2016C2211yescharacteristic, complemented
146#2015C2211yescharacteristic
147#2015C2211yescharacteristic
148#2015C2211yescharacteristic
149#2015C2211yescharacteristic
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1971C2211yescharacteristic, complemented
154#1969C2211yescharacteristic, complemented
155#1968C2211yescharacteristic
156#1960C2211yescharacteristic, complemented
157#1956C2211yescharacteristic, complemented
158#1940C2211yescharacteristic, complemented
159#1939C2211yescharacteristic, complemented
160#1935C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1917C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1894C2211yescharacteristic
167#1894C2211yescharacteristic
168#1892C2211yescharacteristic, complemented
169#1892C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1878C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic
190#1862C2211yescharacteristic, complemented
191#1851C2211yescharacteristic
192#1850C2211yescharacteristic, complemented
193#1850C2211yescharacteristic, complemented
194#1825C2211yescharacteristic
195#1817C2211yescharacteristic
196#1809C2211yescharacteristic
197#1804C2211yescharacteristic
198#1802C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic
201#1788C2211yescharacteristic
202#1787C2211yescharacteristic
203#1786C2211yescharacteristic
204#1753C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×#137—24no—
211C2×#137—42no—
212C2×#137—42no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)D418yes—
216C2×#135—24no—
217C2×#135—42no—
218C2×#135—42no—
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×Q16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C23×C8C2311yescharacteristic
237#547—24no—
238#547—42no—
239#546—24no—
240#546—42no—
241C2×C4⋊Q8C2311yescharacteristic
242C2×C4⋊Q8C2311yescharacteristic
243C2×C4⋊Q8C2311yescharacteristic
244C2×#124—24no—
245C2×#124—21no—
246C2×#124—21no—
247C2×#124—42no—
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×#123D411yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×#121—21no—
263C2×#121—21no—
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C4×#41—24no—
267C4×#41—42no—
268C2×C4×Q8C2311yescharacteristic
269C2×C4×Q8C2311yescharacteristic
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×#117—21no—
282C2×#117C2311yescharacteristic
283C22×C4⋊C4—21no—
284C22×C4⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C22⋊C4—21no—
287C22×C22⋊C4—21no—
288C22×C22⋊C4—21no—
289C22×C42—21no—
290C22×C42C2311yescharacteristic
291#497—24no—
292#485—42no—
293#470—24no—
294#465—24no—
295#464—24no—
296#464—24no—
297#464—24no—
298#464—24no—
299#463—24no—
300#463—24no—
301#463—24no—
302#463—24no—
303#463—24no—
304#461—24no—
305#461—42no—
306#461—42no—
307#452—24no—
308#452—24no—
309#452—42no—
310#452—42no—
311#451—42no—
312#450—24no—
313#449—24no—
314#442—24no—
315#442—42no—
316C4×D8—42no—
317#435—24no—
318C2×#107C2311yescharacteristic
319C2×#107C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×#106C2311yescharacteristic
322C2×#106C2311yescharacteristic
323#423—24no—
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331#419—24no—
332#418—24no—
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×#97C2311yescharacteristic
373C2×#97C2311yescharacteristic
374C2×C4×C8C2311yescharacteristic
375#400—21no—
376#400—21no—
377#400—21no—
378#399—21no—
379#398—21no—
380#398—21no—
381#398—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397—21no—
396#395—21no—
397#395—21no—
398#395—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#393—21no—
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#388—21no—
428#388—21no—
429#388—21no—
430#388D411yescharacteristic
431#388D411yescharacteristic
432#387—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#387—21no—
439#387—21no—
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#387—21no—
445#387D411yescharacteristic
446#387D411yescharacteristic
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386D411yescharacteristic
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#385—21no—
472#385—21no—
473#385—21no—
474#385D411yescharacteristic
475#384C2311yescharacteristic
476#382C2311yescharacteristic
477#381—21no—
478#381—21no—
479#381—21no—
480#381—21no—
481#381—21no—
482#381—21no—
483#381—21no—
484#381D411yescharacteristic
485#380—21no—
486#380—21no—
487#380—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C22⋊C4C2311yescharacteristic
501C4×C22⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C2×#95—21no—
504C2×#95—21no—
505C2×#95—21no—
506C2×#95—21no—
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
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—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41C2×D414yes—
546C22×Q8—21no—
547C22×Q8—22no—
548C22×Q8—22no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8—41no—
552C22×Q8—41no—
553C22×Q8C2411yescharacteristic
554C22×Q8C2411yescharacteristic
555C22×Q8C2411yescharacteristic
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—22no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D414yes—
570C22×D4C2411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4C2×D411yescharacteristic
586C23×C4C2×D411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589#137—416no—
590AGL(1,ℤ/8)—416no—
591#135—416no—
592C2×Q16—22no—
593C2×Q16—22no—
594C2×Q16—22no—
595C2×Q16—22no—
596C2×Q16—41no—
597C2×Q16—41no—
598C2×Q16—41no—
599C2×Q16—41no—
600C2×Q16—41no—
601C2×Q16—41no—
602C2×Q16—41no—
603C2×Q16—41no—
604C2×Q16—41no—
605C2×Q16—41no—
606C2×Q16—41no—
607C2×Q16—41no—
608C2×Q16—41no—
609C2×Q16—41no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16C2×D414yes—
630C2×SD16C2×D414yes—
631C2×D8—22no—
632C2×D8—22no—
633C2×D8—22no—
634C2×D8—22no—
635C2×D8C2×D414yes—
636C2×D8C2×D414yes—
637C2×M16—22no—
638C2×M16—41no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16C2×D414yes—
643C22×C8—22no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C4⋊Q8—22no—
655C4⋊Q8—41no—
656C4⋊Q8—41no—
657C4⋊Q8—41no—
658C4⋊Q8—41no—
659C4⋊Q8—41no—
660#124—22no—
661#124—22no—
662#124—22no—
663#124—22no—
664#124—22no—
665#124—41no—
666#124—41no—
667#124—41no—
668#124—41no—
669#124—41no—
670#124—44no—
671#124—44no—
672#123—42no—
673#123—44no—
674#123—44no—
675#123—44no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—41no—
685C22⋊Q8—41no—
686#121—22no—
687#121—44no—
688#121—41no—
689#121—44no—
690#120—44no—
691C4×Q8—22no—
692C4×Q8—22no—
693C4×Q8—41no—
694C4×Q8—41no—
695C4×D4—22no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—44no—
714C4×D4—44no—
715#117—22no—
716#117—22no—
717#117—44no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
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—44no—
740C2×C4⋊C4—44no—
741C2×C4⋊C4C2×D411yescharacteristic
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
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—44no—
788C2×C22⋊C4—44no—
789C2×C22⋊C4—44no—
790C2×C22⋊C4—44no—
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C42—22no—
800C2×C42—22no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—21no—
804C2×C42—44no—
805C2×C42C2×D411yescharacteristic
806C2×C42C2×D411yescharacteristic
807C2×C42C2411yescharacteristic
808C2×C42C2411yescharacteristic
809C2×C42C2411yescharacteristic
810C2×C42C2411yescharacteristic
811C2×C42C2411yescharacteristic
812#107—41no—
813#107—41no—
814#106—22no—
815#106—41no—
816#106—41no—
817C4⋊C8—22no—
818C4⋊C8—22no—
819C4⋊C8—22no—
820C4⋊C8—22no—
821C4⋊C8—22no—
822C4⋊C8—41no—
823C4⋊C8—41no—
824#103—22no—
825#103—22no—
826#103—22no—
827#103—22no—
828#103—22no—
829#103—22no—
830#103—22no—
831#103—41no—
832#103—41no—
833#103—41no—
834#103—41no—
835#103—41no—
836#103—41no—
837#103—41no—
838#103—41no—
839#103—41no—
840#103—41no—
841#103—41no—
842#103—41no—
843#103—41no—
844#103—41no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858C22⋊C8—22no—
859C22⋊C8—22no—
860C22⋊C8—22no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863#97—22no—
864#97—41no—
865C4×C8—41no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
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#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912C24—21no—
913C24—21no—
914C24—21no—
915C24—24no—
916C24—42no—
917C24—42no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24C22×D411yescharacteristic
923C24C22×D411yescharacteristic
924#41—28no—
925#41—44no—
926#41—44no—
927#41—44no—
928#41—44no—
929#41—44no—
930#41—82no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935#41—82no—
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—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—44no—
966C2×Q8—44no—
967C2×Q8—42no—
968C2×Q8—81no—
969C2×Q8—81no—
970C2×Q8—82no—
971C2×Q8—82no—
972C2×Q8C22×D412yes—
973C2×D4—24no—
974C2×D4—22no—
975C2×D4—24no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—82no—
1001C2×D4—82no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4C22×D412yes—
1009C2×D4C22×D412yes—
1010C2×D4C22×D412yes—
1011C2×D4H(5,𝔽2)12yes—
1012C2×D4H(5,𝔽2)12yes—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—24no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
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—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—42no—
1061C22×C4—42no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
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×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C22×D411yescharacteristic
1089C22×C4C22×D412yes—
1090C22×C4C22×D411yescharacteristic
1091C22×C4H(5,𝔽2)12yes—
1092C22×C4C2511yescharacteristic
1093Q16—44no—
1094Q16—44no—
1095Q16—44no—
1096Q16—82no—
1097Q16—82no—
1098Q16—82no—
1099SD16—44no—
1100SD16—44no—
1101SD16—44no—
1102SD16—44no—
1103SD16—44no—
1104SD16—44no—
1105SD16—82no—
1106D8—28no—
1107D8—28no—
1108M16—44no—
1109M16—44no—
1110C2×C8—21no—
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×C8C22×D412yes—
1134C2×C8C22×D412yes—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
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—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C4⋊C4—81no—
1169C4⋊C4—81no—
1170C4⋊C4—81no—
1171C4⋊C4—81no—
1172C4⋊C4—81no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4—81no—
1176C4⋊C4—81no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
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—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C42—22no—
1219C42—22no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—21no—
1230C42—42no—
1231C42—42no—
1232C42—42no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—22no—
1247C23—22no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—48no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—84no—
1269C23—84no—
1270C23—162no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23D4212yes—
1275C23C23×D411yescharacteristic
1276Q8—22no—
1277Q8—22no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—41no—
1284Q8—41no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—41no—
1293Q8—41no—
1294Q8—41no—
1295Q8—41no—
1296Q8—84no—
1297D4—22no—
1298D4—22no—
1299D4—22no—
1300D4—22no—
1301D4—22no—
1302D4—22no—
1303D4—22no—
1304D4—48no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—84no—
1310D4—82no—
1311D4—84no—
1312D4—84no—
1313D4—162no—
1314D4#53414yes—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—21no—
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—48no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
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—84no—
1398C2×C4—82no—
1399C2×C4—82no—
1400C2×C4—84no—
1401C2×C4—84no—
1402C2×C4—84no—
1403C2×C4—84no—
1404C2×C4—84no—
1405C2×C4—84no—
1406C2×C4—162no—
1407C2×C4—162no—
1408C2×C4—162no—
1409C2×C4—162no—
1410C2×C4D4212yes—
1411C2×C4#57512yes—
1412C2×C4C23×D411yescharacteristic
1413C2×C4C2×H(5,𝔽2)11yescharacteristic
1414C2×C4C2×H(5,𝔽2)11yescharacteristic
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4#58511yescharacteristic
1417C2×C4#58511yescharacteristic
1418C8—22no—
1419C8—22no—
1420C8—41no—
1421C8—41no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C22—22no—
1427C22—24no—
1428C22—22no—
1429C22—22no—
1430C22—41no—
1431C22—42no—
1432C22—42no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—41no—
1441C22—42no—
1442C22—42no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—41no—
1452C22—42no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—168no—
1462C22C2×D4211yescharacteristic
1463C22#348811yescharacteristic
1464C22#348811yescharacteristic
1465C22C2×#57511yescharacteristic
1466C22#358411yescharacteristic
1467C22#358611yescharacteristic
1468C22#358611yescharacteristic
1469C4—22no—
1470C4—22no—
1471C4—41no—
1472C4—42no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4C2×#53411yescharacteristic
1495C4#348511yescharacteristic
1496C4#353411yescharacteristic
1497C4#353411yescharacteristic
1498C2—42no—
1499C2—44no—
1500C2—81no—
1501C2—82no—
1502C2—82no—
1503C2#3764611yescharacteristic
1504C2#6106711yescharacteristic
1505C2#6107311yescharacteristic
1506C2#6197311yescharacteristic
1507C2#6199011yescharacteristic
1508C2#6204811yescharacteristic
1509C2#6209011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3267C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3040C2semidirect
3. #38918C2semidirect
4. #36217C2semidirect
5. #33011C2semidirect
6. #31221C2semidirect
7. #31215C2semidirect
8. #31007C2semidirect
9. #30991C2semidirect
10. #30754C2semidirect
11. #30754C2semidirect
12. #30594C2semidirect
13. #30590C2semidirect
14. #29783C2semidirect
15. #29626C2semidirect
16. #28355C2semidirect
17. #28102C2semidirect
18. #26180C2semidirect
19. #26176C2semidirect
20. #25170C2semidirect
21. #25150C2semidirect
22. #24745C2semidirect
23. #24727C2semidirect
24. #24538C2semidirect
25. #24376C2semidirect
26. #24365C2semidirect
27. #24365C2semidirect
28. #24050C2semidirect
29. #23865C2semidirect
30. #22442C2semidirect
31. #22071C2semidirect
55. C2×#461C22semidirect
56. C2×#461C22semidirect
59. C2×#452C22semidirect
60. C2×#452C22semidirect
88. #2446C22semidirect
89. #2446C22semidirect
97. #2423C22semidirect
98. #2421C22semidirect
103. #2349C22semidirect
104. D4×C4⋊C4C22semidirect
106. #2339C22semidirect
107. #2339C22semidirect
112. #2097C22semidirect
113. #2096C22semidirect
114. #2088C22semidirect
115. #2088C22semidirect
118. #2068C22semidirect
119. #2068C22semidirect
120. #2068C22semidirect
121. #2066C22semidirect
122. #2066C22semidirect
123. #2066C22semidirect
124. #2056C22semidirect
125. #2056C22semidirect
126. #2056C22semidirect
127. #2056C22semidirect
136. #2036C22semidirect
137. #2035C22semidirect
140. #2016C22semidirect
141. #2016C22semidirect
142. #2016C22semidirect
143. #2016C22semidirect
144. #2016C22semidirect
145. #2016C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
153. #1971C22semidirect
154. #1969C22semidirect
156. #1960C22semidirect
157. #1956C22semidirect
158. #1940C22semidirect
159. #1939C22semidirect
160. #1935C22semidirect
161. #1935C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1917C22semidirect
165. #1917C22semidirect
168. #1892C22semidirect
169. #1892C22semidirect
172. #1878C22semidirect
173. #1878C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
185. #1865C22semidirect
187. #1864C22semidirect
188. #1863C22semidirect
190. #1862C22semidirect
192. #1850C22semidirect
193. #1850C22semidirect

Maximal subgroups

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

subgroupindex
C2×#32672
C2×#30402
#389182
#362172
#330112
#312212
#312152
#310072
#309912
#307542
#305942
#305902
#297832
#296262
#283552
#281022
#261802
#261762
#251702
#251502
#247452
#247272
#245382
#243762
#243652
#240502
#238652
#224422
#220712