Finite Group Databasebeta

← #6473016

Subgroups — #6473016

Order 512.

2163 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3063C211yesmaximal, characteristic, complemented
2C2×#2929C211yesmaximal, characteristic, complemented
3#37374C211yesmaximal, characteristic, complemented
4#37268C211yesmaximal, characteristic
5#33133C211yesmaximal, characteristic, complemented
6#33131C211yesmaximal, characteristic, complemented
7#32931C211yesmaximal, characteristic, complemented
8#32929C211yesmaximal, characteristic, complemented
9#29787C211yesmaximal, characteristic, complemented
10#29786C211yesmaximal, characteristic, complemented
11#29744C211yesmaximal, characteristic, complemented
12#29743C211yesmaximal, characteristic, complemented
13#28556C211yesmaximal, characteristic, complemented
14#28555C211yesmaximal, characteristic, complemented
15#28554C211yesmaximal, characteristic, complemented
16#28553C211yesmaximal, characteristic, complemented
17#28099C211yesmaximal, characteristic, complemented
18#28098C211yesmaximal, characteristic, complemented
19#28096C211yesmaximal, characteristic, complemented
20#28095C211yesmaximal, characteristic, complemented
21#27669C211yesmaximal, characteristic, complemented
22#27668C211yesmaximal, characteristic, complemented
23#24791C211yesmaximal, characteristic, complemented
24#24791C211yesmaximal, characteristic, complemented
25#24789C211yesmaximal, characteristic, complemented
26#24788C211yesmaximal, characteristic, complemented
27#24274C211yesmaximal, characteristic, complemented
28#24274C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#21771C211yesmaximal, characteristic, complemented
31#20664C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic
34C24×C8C2211yescharacteristic
35C2×#537C2211yescharacteristic
36C2×#536C2211yescharacteristic
37C2×#525C2211yescharacteristic
38#3063—28no—
39C2×#470C2211yescharacteristic
40C2×#470C2211yescharacteristic, complemented
41C2×#468C2211yescharacteristic
42C2×#468C2211yescharacteristic, complemented
43C2×#467C2211yescharacteristic
44C2×#467C2211yescharacteristic
45C2×#467C2211yescharacteristic
46C2×#467C2211yescharacteristic, complemented
47C2×#465C2211yescharacteristic
48C2×#465C2211yescharacteristic
49C2×#465C2211yescharacteristic
50C2×#465C2211yescharacteristic, complemented
51#2929—28no—
52C2×#435C2211yescharacteristic
53C2×#435C2211yescharacteristic
54C2×#435C2211yescharacteristic
55C2×#435C2211yescharacteristic
56C2×C8×D4C2211yescharacteristic
57C2×C8×D4C2211yescharacteristic
58C2×C8×D4C2211yescharacteristic
59C2×C8×D4C2211yescharacteristic
60C2×#428C2211yescharacteristic, complemented
61C2×#428C2211yescharacteristic, complemented
62C2×#428C2211yescharacteristic, complemented
63C2×#424C2211yescharacteristic
64C2×#416C2211yescharacteristic, complemented
65C22×#103C2211yescharacteristic, complemented
66C2×#408C2211yescharacteristic
67C2×#407C2211yescharacteristic
68C2×#405C2211yescharacteristic
69#2848C2211yescharacteristic
70#2848C2211yescharacteristic
71#2848C2211yescharacteristic
72#2847C2211yescharacteristic
73#2732—21no—
74#2729—21no—
75#2729—21no—
76#2728—21no—
77#2724—21no—
78#2717—21no—
79#2708—21no—
80#2708—21no—
81#2708—21no—
82#2701—21no—
83#2697—21no—
84#2688—21no—
85#2684—21no—
86#2678—21no—
87#2671—21no—
88#2668—21no—
89#2625C2211yescharacteristic
90#2625C2211yescharacteristic
91#2625C2211yescharacteristic
92#2624C2211yescharacteristic
93#2487C2211yescharacteristic
94#2486C2211yescharacteristic
95#2485C2211yescharacteristic
96#2485C2211yescharacteristic
97#2417C2211yescharacteristic
98#2417C2211yescharacteristic
99#2417C2211yescharacteristic
100#2416C2211yescharacteristic
101#2415C2211yescharacteristic
102#2415C2211yescharacteristic
103#2415C2211yescharacteristic
104#2414C2211yescharacteristic
105#2409C2211yescharacteristic
106#2409C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2311C2211yescharacteristic
110#2311C2211yescharacteristic
111#2088C2211yescharacteristic, complemented
112#2088C2211yescharacteristic, complemented
113#2087C2211yescharacteristic, complemented
114#2086C2211yescharacteristic, complemented
115#2077C2211yescharacteristic
116#2077C2211yescharacteristic
117#2076C2211yescharacteristic
118#2075C2211yescharacteristic
119#2068C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2068C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2066C2211yescharacteristic, complemented
124#2066C2211yescharacteristic, complemented
125#2066C2211yescharacteristic, complemented
126#2065C2211yescharacteristic, complemented
127#2056C2211yescharacteristic, complemented
128#2056C2211yescharacteristic, complemented
129#2055C2211yescharacteristic, complemented
130#2055C2211yescharacteristic, complemented
131#2036C2211yescharacteristic
132#2036C2211yescharacteristic
133#2036C2211yescharacteristic
134#2035C2211yescharacteristic
135#2035C2211yescharacteristic
136#2035C2211yescharacteristic
137#2034C2211yescharacteristic
138#2033C2211yescharacteristic
139#2001C2211yescharacteristic
140#2001C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#1973C2211yescharacteristic, complemented
144#1973C2211yescharacteristic, complemented
145#1971C2211yescharacteristic, complemented
146#1971C2211yescharacteristic, complemented
147#1944C2211yescharacteristic, complemented
148#1944C2211yescharacteristic, complemented
149#1943C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1934C2211yescharacteristic, complemented
152#1934C2211yescharacteristic, complemented
153#1933C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1933C2211yescharacteristic, complemented
156#1933C2211yescharacteristic, complemented
157#1933C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1894C2211yescharacteristic
161#1894C2211yescharacteristic
162#1894C2211yescharacteristic
163#1893C2211yescharacteristic
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic
166#1892C2211yescharacteristic
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic
169#1892C2211yescharacteristic
170#1892C2211yescharacteristic
171#1892C2211yescharacteristic
172#1892C2211yescharacteristic
173#1892C2211yescharacteristic
174#1892C2211yescharacteristic
175#1875C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1873C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1825C2211yescharacteristic, complemented
184#1825C2211yescharacteristic, complemented
185#1824C2211yescharacteristic, complemented
186#1823C2211yescharacteristic, complemented
187#1809C2211yescharacteristic
188#1809C2211yescharacteristic
189#1809C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1808C2211yescharacteristic
192#1808C2211yescharacteristic
193#1808C2211yescharacteristic
194#1808C2211yescharacteristic, complemented
195#1807C2211yescharacteristic
196#1807C2211yescharacteristic
197#1807C2211yescharacteristic
198#1807C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×#137—24no—
210C2×#137—42no—
211C2×#137—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C2×#131—42no—
217C2×#131—42no—
218C2×#131D418yescomplemented
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8—24no—
224C23×C8—42no—
225C23×C8—42no—
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234#537—24no—
235#537—24no—
236#536—24no—
237#536—24no—
238C2×C4⋊Q8—21no—
239C2×#124—21no—
240#525—24no—
241#525—24no—
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123D411yescharacteristic
246C2×#123D411yescharacteristic
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8D411yescharacteristic
249C2×C22⋊Q8D411yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
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×#121D411yescharacteristic
267C2×#121D411yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#120—21no—
273C2×#120D411yescharacteristic
274C2×#120D411yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C2×#117C2311yescharacteristic
282C2×#117C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286#470—24no—
287#470—24no—
288#468—24no—
289#468—24no—
290#467—24no—
291#467—24no—
292#467—42no—
293#467—42no—
294#465—24no—
295#465—24no—
296#465—42no—
297#465—42no—
298#435—24no—
299#435—24no—
300#435—24no—
301#435—24no—
302C8×D4—24no—
303C8×D4—24no—
304C8×D4—24no—
305C8×D4—24no—
306#428—24no—
307#428—42no—
308#428—42no—
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#107C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×#106C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321#424—24no—
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326#416—24no—
327C2×#103—24no—
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352#408—24no—
353#407—24no—
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362#405—24no—
363C2×#97C2311yescharacteristic
364C2×#97C2311yescharacteristic
365C2×C4×C8C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367#400—21no—
368#400—21no—
369#400—21no—
370#400—21no—
371#399—21no—
372#399—21no—
373#398—21no—
374#398—21no—
375#398—21no—
376#398—21no—
377#398—21no—
378#398—21no—
379#398—21no—
380#397—21no—
381#397—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#396—21no—
394#396—21no—
395#396—21no—
396#396—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#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#393—21no—
411#393—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#391—21no—
416#391—21no—
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#391C2311yescharacteristic
420#391C2311yescharacteristic
421#391C2311yescharacteristic
422#391C2311yescharacteristic
423#390—21no—
424#390—21no—
425#390—21no—
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#389—21no—
429#389—21no—
430#389—21no—
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#387—21no—
446#387—21no—
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#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—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#385—21no—
475#385—21no—
476#385—21no—
477#381—21no—
478#380—21no—
479#380—21no—
480#380—21no—
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498#379—21no—
499#379—21no—
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#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524C25C2×D411yescharacteristic
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41C2×D414yes—
536C2×#41#4114yes—
537C22×Q8—21no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—41no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8C2×D411yescharacteristic
545C22×Q8C2411yescharacteristic
546C22×Q8C2411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2411yescharacteristic
561C23×C4—22no—
562C23×C4—22no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4C2×D411yescharacteristic
573C23×C4C2×D411yescharacteristic
574C23×C4C2×D411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580#137—416no—
581C2×Q16—22no—
582C2×Q16—22no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—41no—
586C2×Q16—41no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—41no—
592C2×SD16—41no—
593#131—416no—
594C2×M16—22no—
595C2×M16—22no—
596C2×M16—22no—
597C2×M16—22no—
598C2×M16—22no—
599C2×M16—41no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16C2×D414yes—
604C2×M16C2×D414yes—
605C2×M16C2×D414yes—
606C22×C8—22no—
607C22×C8—22no—
608C22×C8—22no—
609C22×C8—22no—
610C22×C8—22no—
611C22×C8—22no—
612C22×C8—22no—
613C22×C8—22no—
614C22×C8—22no—
615C22×C8—22no—
616C22×C8—22no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8—41no—
622C22×C8—41no—
623C22×C8—41no—
624C22×C8—41no—
625C22×C8—41no—
626C22×C8—41no—
627C22×C8—416no—
628C22×C8C2×D414yes—
629C22×C8C2×D414yes—
630C22×C8C2×D414yes—
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C4⋊Q8—44no—
640#124—44no—
641#123—24no—
642#123—24no—
643#123—44no—
644#123—44no—
645#123—82no—
646C22⋊Q8—24no—
647C22⋊Q8—24no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—22no—
654C22⋊Q8—22no—
655C22⋊Q8—22no—
656C22⋊Q8—22no—
657C22⋊Q8—22no—
658C22⋊Q8—22no—
659C22⋊Q8—22no—
660C22⋊Q8—44no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673#121—24no—
674#121—24no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—44no—
680#121—44no—
681#121—44no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—82no—
687#120—24no—
688#120—24no—
689#120—82no—
690C4×D4—22no—
691C4×D4—22no—
692C4×D4—22no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—22no—
696C4×D4—22no—
697C4×D4—22no—
698#117—22no—
699#117—22no—
700#117—22no—
701#117—22no—
702#117—41no—
703#117—41no—
704#117—41no—
705#117—41no—
706C2×C4⋊C4—22no—
707C2×C4⋊C4—22no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
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—41no—
732C2×C4⋊C4—41no—
733C2×C4⋊C4—41no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4C2×D411yescharacteristic
736C2×C4⋊C4C2×D411yescharacteristic
737C2×C4⋊C4C2×D411yescharacteristic
738C2×C4⋊C4C2×D411yescharacteristic
739C2×C4⋊C4C2×D411yescharacteristic
740C2×C4⋊C4C2×D411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C22⋊C4—21no—
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—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
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×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C42—21no—
803C2×C42—21no—
804C2×C42—21no—
805C2×C42C2411yescharacteristic
806C2×C42C2411yescharacteristic
807#107—22no—
808#107—22no—
809#107—22no—
810#107—22no—
811#107—41no—
812#107—41no—
813#106—22no—
814#106—22no—
815#106—22no—
816#106—22no—
817#106—41no—
818#106—41no—
819C4⋊C8—22no—
820C4⋊C8—22no—
821C4⋊C8—22no—
822C4⋊C8—22no—
823#103—22no—
824#103—22no—
825#103—22no—
826#103—22no—
827#103—22no—
828#103—22no—
829#103—41no—
830#103—41no—
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#102—22no—
842#102—22no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847C22⋊C8—22no—
848C22⋊C8—22no—
849C22⋊C8—22no—
850C22⋊C8—22no—
851C22⋊C8—22no—
852C22⋊C8—22no—
853C22⋊C8—22no—
854C22⋊C8—22no—
855#97—22no—
856#97—22no—
857C4×C8—22no—
858C4×C8—22no—
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#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—
895C24—22no—
896C24—22no—
897C24—22no—
898C24—21no—
899C24—41no—
900C24—41no—
901C24—41no—
902C24—41no—
903C24C22×D411yescharacteristic
904C24C22×D411yescharacteristic
905C24C22×D411yescharacteristic
906C24C22×D411yescharacteristic
907C24C22×D411yescharacteristic
908#41—44no—
909#41—44no—
910#41—44no—
911#41—44no—
912#41—44no—
913#41—44no—
914#41—82no—
915#41—82no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—41no—
935C2×Q8—41no—
936C2×Q8—44no—
937C2×Q8—44no—
938C2×Q8—42no—
939C2×Q8—81no—
940C2×Q8—81no—
941C2×Q8—82no—
942C2×Q8—82no—
943C2×Q8#12114yes—
944C2×D4—22no—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—22no—
948C2×D4—22no—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4#12114yes—
984C2×D4#12114yes—
985C2×D4#12114yes—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D412yes—
1063C22×C4C22×D412yes—
1064C22×C4C22×D412yes—
1065C22×C4C2×#4112yes—
1066C22×C4C2×#4112yes—
1067C22×C4C2×#4112yes—
1068C22×C4C2511yescharacteristic
1069Q16—44no—
1070Q16—44no—
1071SD16—44no—
1072SD16—44no—
1073M16—28no—
1074M16—28no—
1075M16—44no—
1076M16—44no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—28no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—44no—
1097C2×C8—44no—
1098C2×C8—44no—
1099C2×C8—44no—
1100C2×C8—44no—
1101C2×C8—44no—
1102C2×C8—44no—
1103C2×C8C22×D412yes—
1104C2×C8C22×D412yes—
1105C2×C8C22×D412yes—
1106C2×C8C22×D412yes—
1107C2×C8H(5,𝔽2)12yes—
1108C2×C8H(5,𝔽2)12yes—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C42—21no—
1212C42—21no—
1213C42—21no—
1214C42—21no—
1215C42—42no—
1216C42—81no—
1217C42—81no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—44no—
1249C23—44no—
1250C23—44no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—44no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23C2×#12112yes—
1263C23C2×#12112yes—
1264C23C2×#12112yes—
1265C23#57712yes—
1266C23#57812yes—
1267C23C23×D411yescharacteristic
1268Q8—44no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—84no—
1282D4—44no—
1283D4—44no—
1284D4—44no—
1285D4—44no—
1286D4—44no—
1287D4—44no—
1288D4—44no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—84no—
1294D4—162no—
1295D4—162no—
1296D4—162no—
1297D4—162no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
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—44no—
1335C2×C4—44no—
1336C2×C4—44no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—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—84no—
1391C2×C4—84no—
1392C2×C4—162no—
1393C2×C4—162no—
1394C2×C4—162no—
1395C2×C4C2×#12112yes—
1396C2×C4C2×#12112yes—
1397C2×C4C2×#12112yes—
1398C2×C4C23×D411yescharacteristic
1399C2×C4C22×#4111yescharacteristic
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4#58511yescharacteristic
1403C2×C4#58511yescharacteristic
1404C8—22no—
1405C8—22no—
1406C8—22no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8#53414yes—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—416no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22C22×#12111yescharacteristic
1456C22#349611yescharacteristic
1457C22#349611yescharacteristic
1458C22C2×#57711yescharacteristic
1459C22C2×#57811yescharacteristic
1460C22#358411yescharacteristic
1461C22#358411yescharacteristic
1462C4—22no—
1463C4—22no—
1464C4—22no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4C2×#53411yescharacteristic
1487C4#344911yescharacteristic
1488C4#350511yescharacteristic
1489C4#350511yescharacteristic
1490C2—42no—
1491C2—42no—
1492C2—42no—
1493C2—42no—
1494C2—42no—
1495C2—161no—
1496C2#3500011yescharacteristic
1497C2#6045711yescharacteristic
1498C2#6045911yescharacteristic
1499C2#6227711yescharacteristic
1500C2#6227911yescharacteristic
1501C2#6228111yescharacteristic
1502C2#6228211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#37268C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3063C2semidirect
2. C2×#2929C2semidirect
3. #37374C2semidirect
5. #33133C2semidirect
6. #33131C2semidirect
7. #32931C2semidirect
8. #32929C2semidirect
9. #29787C2semidirect
10. #29786C2semidirect
11. #29744C2semidirect
12. #29743C2semidirect
13. #28556C2semidirect
14. #28555C2semidirect
15. #28554C2semidirect
16. #28553C2semidirect
17. #28099C2semidirect
18. #28098C2semidirect
19. #28096C2semidirect
20. #28095C2semidirect
21. #27669C2semidirect
22. #27668C2semidirect
23. #24791C2semidirect
24. #24791C2semidirect
25. #24789C2semidirect
26. #24788C2semidirect
27. #24274C2semidirect
28. #24274C2semidirect
29. #21772C2semidirect
30. #21771C2semidirect
31. #20664C2semidirect
32. C22×#137C22semidirect
40. C2×#470C22semidirect
42. C2×#468C22semidirect
46. C2×#467C22semidirect
50. C2×#465C22semidirect
60. C2×#428C22semidirect
61. C2×#428C22semidirect
62. C2×#428C22semidirect
64. C2×#416C22semidirect
65. C22×#103C22semidirect
111. #2088C22semidirect
112. #2088C22semidirect
113. #2087C22semidirect
114. #2086C22semidirect
119. #2068C22semidirect
120. #2068C22semidirect
121. #2068C22semidirect
122. #2067C22semidirect
123. #2066C22semidirect
124. #2066C22semidirect
125. #2066C22semidirect
126. #2065C22semidirect
127. #2056C22semidirect
128. #2056C22semidirect
129. #2055C22semidirect
130. #2055C22semidirect
143. #1973C22semidirect
144. #1973C22semidirect
145. #1971C22semidirect
146. #1971C22semidirect
147. #1944C22semidirect
148. #1944C22semidirect
149. #1943C22semidirect
150. #1943C22semidirect
151. #1934C22semidirect
152. #1934C22semidirect
153. #1933C22semidirect
154. #1933C22semidirect
155. #1933C22semidirect
156. #1933C22semidirect
157. #1933C22semidirect
158. #1933C22semidirect
175. #1875C22semidirect
176. #1874C22semidirect
177. #1873C22semidirect
178. #1873C22semidirect
179. #1873C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
183. #1825C22semidirect
184. #1825C22semidirect
185. #1824C22semidirect
186. #1823C22semidirect
189. #1809C22semidirect
190. #1809C22semidirect
194. #1808C22semidirect
198. #1807C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1787C22semidirect
202. #1787C22semidirect
203. #1735C22semidirect
204. C2×#340C22semidirect
218. C2×#131D4semidirect

Maximal subgroups

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

subgroupindex
C2×#30632
C2×#29292
#373742
#372682
#331332
#331312
#329312
#329292
#297872
#297862
#297442
#297432
#285562
#285552
#285542
#285532
#280992
#280982
#280962
#280952
#276692
#276682
#247912
#247892
#247882
#242742
#217722
#217712
#206642