Finite Group Databasebeta

← #6558285

Subgroups — #6558285

Order 512.

2763 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3325C211yesmaximal, characteristic, complemented
2C2×#3321C211yesmaximal, characteristic, complemented
3C2×#3275C211yesmaximal, characteristic, complemented
4C2×#3264C211yesmaximal, characteristic, complemented
5#38090C211yesmaximal, characteristic, complemented
6#37677C211yesmaximal, characteristic, complemented
7#30274C211yesmaximal, characteristic, complemented
8#30256C211yesmaximal, characteristic, complemented
9#30247C211yesmaximal, characteristic, complemented
10#28474C211yesmaximal, characteristic, complemented
11#28467C211yesmaximal, characteristic, complemented
12#28454C211yesmaximal, characteristic, complemented
13#28430C211yesmaximal, characteristic, complemented
14#28415C211yesmaximal, characteristic, complemented
15#28395C211yesmaximal, characteristic, complemented
16#28363C211yesmaximal, characteristic, complemented
17#28361C211yesmaximal, characteristic, complemented
18#28353C211yesmaximal, characteristic, complemented
19#28352C211yesmaximal, characteristic, complemented
20#28321C211yesmaximal, characteristic, complemented
21#28316C211yesmaximal, characteristic, complemented
22#25797C211yesmaximal, characteristic, complemented
23#25794C211yesmaximal, characteristic, complemented
24#25794C211yesmaximal, characteristic, complemented
25#25788C211yesmaximal, characteristic, complemented
26#25736C211yesmaximal, characteristic, complemented
27#25731C211yesmaximal, characteristic, complemented
28#23808C211yesmaximal, characteristic, complemented
29#23431C211yesmaximal, characteristic, complemented
30#23422C211yesmaximal, characteristic, complemented
31#20564C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#555C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C22×#124C2211yescharacteristic, complemented
42#3325—28no—
43#3321—28no—
44#3275—28no—
45#3264—28no—
46C2×#496C2211yescharacteristic
47C2×#496C2211yescharacteristic
48C2×#496C2211yescharacteristic, complemented
49C2×#496C2211yescharacteristic, complemented
50C2×#496C2211yescharacteristic, complemented
51C2×#495C2211yescharacteristic, complemented
52C2×#495C2211yescharacteristic, complemented
53C2×#493C2211yescharacteristic, complemented
54C2×#489C2211yescharacteristic, complemented
55C2×#486C2211yescharacteristic, complemented
56C2×#485C2211yescharacteristic, complemented
57C2×#482C2211yescharacteristic
58C2×#482C2211yescharacteristic, complemented
59C2×#482C2211yescharacteristic, complemented
60C2×#475C2211yescharacteristic, complemented
61C2×#476C2211yescharacteristic, complemented
62C2×#470C2211yescharacteristic, complemented
63C2×#469C2211yescharacteristic
64C2×#469C2211yescharacteristic
65C2×#469C2211yescharacteristic, complemented
66C2×#469C2211yescharacteristic, complemented
67C2×#469C2211yescharacteristic, complemented
68C2×#465C2211yescharacteristic
69C2×#465C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic
75C2×#459C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#447C2211yescharacteristic
87C2×#447C2211yescharacteristic, complemented
88C2×#442C2211yescharacteristic
89C2×#440C2211yescharacteristic, complemented
90C2×C4×SD16C2211yescharacteristic, complemented
91C2×C4×D8C2211yescharacteristic, complemented
92C2×#436C2211yescharacteristic
93C2×#435C2211yescharacteristic
94C2×#419C2211yescharacteristic, complemented
95C2×#418C2211yescharacteristic
96C2×#418C2211yescharacteristic, complemented
97C2×#416C2211yescharacteristic, complemented
98#2856C2211yescharacteristic, complemented
99#2856C2211yescharacteristic, complemented
100#2676—22no—
101#2676—22no—
102#2670—22no—
103#2668—22no—
104#2657C2211yescharacteristic, complemented
105#2640C2211yescharacteristic, complemented
106#2620C2211yescharacteristic
107#2620C2211yescharacteristic, complemented
108#2548C2211yescharacteristic, complemented
109#2544C2211yescharacteristic, complemented
110#2544C2211yescharacteristic, complemented
111#2542C2211yescharacteristic, complemented
112#2500C2211yescharacteristic, complemented
113#2499C2211yescharacteristic, complemented
114#2472—22no—
115#2471—22no—
116#2436C2211yescharacteristic, complemented
117#2435C2211yescharacteristic
118#2433C2211yescharacteristic, complemented
119#2433C2211yescharacteristic, complemented
120#2431C2211yescharacteristic
121#2431C2211yescharacteristic, complemented
122#2424—22no—
123#2410—22no—
124#2328C2211yescharacteristic, complemented
125#2326C2211yescharacteristic, complemented
126#2309C2211yescharacteristic, complemented
127#2297C2211yescharacteristic, complemented
128#2290C2211yescharacteristic
129#2097C2211yescharacteristic, complemented
130#2096C2211yescharacteristic, complemented
131#2096C2211yescharacteristic, complemented
132#2094C2211yescharacteristic, complemented
133#2094C2211yescharacteristic, complemented
134#2094C2211yescharacteristic, complemented
135#2094C2211yescharacteristic, complemented
136#2094C2211yescharacteristic, complemented
137#2093C2211yescharacteristic, complemented
138#2092C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic
150#2012C2211yescharacteristic
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2012C2211yescharacteristic, complemented
158#2012C2211yescharacteristic, complemented
159#2012C2211yescharacteristic, complemented
160#2011C2211yescharacteristic
161#2011C2211yescharacteristic
162#2011C2211yescharacteristic
163#2011C2211yescharacteristic, complemented
164#2011C2211yescharacteristic, complemented
165#2011C2211yescharacteristic, complemented
166#2011C2211yescharacteristic, complemented
167#2011C2211yescharacteristic, complemented
168#2011C2211yescharacteristic, complemented
169#1973C2211yescharacteristic, complemented
170#1973C2211yescharacteristic, complemented
171#1973C2211yescharacteristic, complemented
172#1972C2211yescharacteristic
173#1972C2211yescharacteristic, complemented
174#1972C2211yescharacteristic, complemented
175#1972C2211yescharacteristic, complemented
176#1971C2211yescharacteristic, complemented
177#1970C2211yescharacteristic, complemented
178#1968C2211yescharacteristic, complemented
179#1968C2211yescharacteristic, complemented
180#1968C2211yescharacteristic, complemented
181#1961C2211yescharacteristic, complemented
182#1959C2211yescharacteristic, complemented
183#1959C2211yescharacteristic, complemented
184#1959C2211yescharacteristic, complemented
185#1958C2211yescharacteristic, complemented
186#1957C2211yescharacteristic, complemented
187#1771C2211yescharacteristic, complemented
188#1770C2211yescharacteristic, complemented
189#1768C2211yescharacteristic, complemented
190#1753C2211yescharacteristic, complemented
191#1753C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1752C2211yescharacteristic, complemented
194#1750C2211yescharacteristic, complemented
195#1749C2211yescharacteristic, complemented
196#1746C2211yescharacteristic, complemented
197#1729C2211yescharacteristic, complemented
198#1728C2211yescharacteristic, complemented
199C22×#41C2311yescharacteristic
200C22×#41C2311yescharacteristic
201C23×Q8C2311yescharacteristic
202C23×D4—21no—
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×#137—24no—
207C2×#137—42no—
208C2×#137—42no—
209C2×AGL(1,ℤ/8)—24no—
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×D8—24no—
228C22×D8—42no—
229C22×D8—42no—
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C23×C8C2311yescharacteristic
246#555—24no—
247#555—24no—
248#548—24no—
249#548—24no—
250#546—24no—
251#546—24no—
252D42—24no—
253D42—24no—
254#535—42no—
255#535—42no—
256C2×C4⋊Q8C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#124—21no—
264C2×#124—21no—
265C2×#124—21no—
266C2×#124—22no—
267C2×#124—42no—
268C2×#124—42no—
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#123—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—22no—
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—22no—
286C2×#121—22no—
287C2×#121—21no—
288C2×#121—22no—
289C2×#121—21no—
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#120—21no—
297C2×#120—22no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—22no—
301C2×#120—22no—
302C2×C4×Q8C2311yescharacteristic
303C2×C4×D4—21no—
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×#117—21no—
309C2×#117C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C2×#117C2311yescharacteristic
312C22×C22⋊C4—22no—
313C22×C22⋊C4—21no—
314C22×C42C2311yescharacteristic
315#496—24no—
316#496—42no—
317#496—42no—
318#496—42no—
319#496—42no—
320#495—24no—
321#495—42no—
322#493—42no—
323#489—24no—
324#486—24no—
325#485—24no—
326#482—24no—
327#482—24no—
328#482—24no—
329#476—24no—
330#475—24no—
331#470—24no—
332#469—24no—
333#469—24no—
334#469—24no—
335#469—24no—
336#469—24no—
337#465—24no—
338#465—24no—
339#464—24no—
340#463—24no—
341#463—24no—
342#463—24no—
343#459—24no—
344#459—24no—
345#452—24no—
346#450—24no—
347#450—24no—
348#449—24no—
349#449—24no—
350#449—24no—
351#448—24no—
352#448—24no—
353#447—24no—
354#447—24no—
355#447—24no—
356#447—24no—
357#442—24no—
358#440—24no—
359C4×SD16—24no—
360C4×D8—24no—
361#436D418yescomplemented
362#435D418yescomplemented
363C2×#107C2311yescharacteristic
364C2×#107C2311yescharacteristic
365C2×#106C2311yescharacteristic
366C2×#106C2311yescharacteristic
367C2×#106C2311yescharacteristic
368C2×#106C2311yescharacteristic
369C2×#106C2311yescharacteristic
370C2×#106C2311yescharacteristic
371C2×C4⋊C8C2311yescharacteristic
372C2×C4⋊C8C2311yescharacteristic
373#419—24no—
374#418—24no—
375#418—24no—
376#416—24no—
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×#97C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×#97C2311yescharacteristic
417C2×#97C2311yescharacteristic
418C2×C4×C8C2311yescharacteristic
419C2×C4×C8C2311yescharacteristic
420C2×C4×C8C2311yescharacteristic
421#399—22no—
422#397—22no—
423#397—22no—
424#396—22no—
425#396—22no—
426#394—22no—
427#394—22no—
428#394—22no—
429#394—22no—
430#394—22no—
431#394—22no—
432#394—22no—
433#393—22no—
434#393—22no—
435#392—22no—
436#392—22no—
437#392—22no—
438#392—22no—
439#392—22no—
440#392—22no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#390—22no—
447#390—22no—
448#390—22no—
449#390—22no—
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#388—22no—
462#388—22no—
463#388D412yes—
464#387—22no—
465#387D412yes—
466#386—22no—
467#386—22no—
468#386—22no—
469#386—22no—
470#386—22no—
471#386—22no—
472#386—22no—
473#386—22no—
474#386D412yes—
475#385—22no—
476#385D412yes—
477#384C2311yescharacteristic
478#384C2311yescharacteristic
479#384C2311yescharacteristic
480#382C2311yescharacteristic
481#379—22no—
482#379—22no—
483C4×C4⋊C4C2311yescharacteristic
484C4×C22⋊C4—22no—
485C4×C22⋊C4C2311yescharacteristic
486C4×C22⋊C4C2311yescharacteristic
487#376C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498C25—21no—
499C25—21no—
500C25—21no—
501C2×#41—22no—
502C2×#41—22no—
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C22×Q8—21no—
514C22×Q8—21no—
515C22×Q8—22no—
516C22×Q8—22no—
517C22×Q8—22no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8C2411yescharacteristic
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—22no—
545C22×D4—21no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—21no—
550C22×D4—22no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—44no—
561C22×D4—84no—
562C22×D4C2×D411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4C2×D412yes—
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579#137—416no—
580AGL(1,ℤ/8)—416no—
581AGL(1,ℤ/8)—416no—
582C2×Q16—22no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—41no—
586C2×Q16—41no—
587C2×Q16—41no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—22no—
633C2×D8—22no—
634C2×D8—22no—
635C2×D8—22no—
636C2×D8—22no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—416no—
655C2×M16—41no—
656C2×M16—41no—
657C2×M16—41no—
658C2×M16—41no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16C2×D414yes—
662C2×M16C2×D414yes—
663C2×M16C2×D414yes—
664C22×C8—41no—
665C22×C8—41no—
666C22×C8C2×D414yes—
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C4⋊Q8—22no—
676C4⋊Q8—22no—
677#127—22no—
678#127—22no—
679#127—22no—
680#127—22no—
681#127—41no—
682#127—41no—
683#127—41no—
684#127—41no—
685#127—41no—
686#127—41no—
687#127—41no—
688#127—41no—
689#124—22no—
690#124—22no—
691#124—22no—
692#124—22no—
693#124—22no—
694#124—22no—
695#124—22no—
696#124—22no—
697#124—22no—
698#124—41no—
699#124—41no—
700#124—41no—
701#124—41no—
702#124—41no—
703#124—41no—
704#124—41no—
705#124—41no—
706#124—41no—
707#124—48no—
708#124—44no—
709#124—44no—
710#124—44no—
711#123—44no—
712C22⋊Q8—22no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—22no—
716C22⋊Q8—44no—
717C22⋊Q8—84no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—48no—
731#121—44no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—84no—
736#121—84no—
737#120—48no—
738#120—44no—
739#120—44no—
740#120—44no—
741#120—84no—
742#120—84no—
743C4×Q8—22no—
744C4×Q8—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—44no—
752C4×D4C2×D414yes—
753C4×D4C2×D414yes—
754#117—22no—
755#117—22no—
756#117—22no—
757#117—22no—
758#117—41no—
759#117—41no—
760#117—44no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4C2×D412yes—
769C2×C4⋊C4C2×D412yes—
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C22⋊C4—22no—
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—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
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—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—48no—
813C2×C22⋊C4—44no—
814C2×C22⋊C4C2×D412yes—
815C2×C22⋊C4C2×D412yes—
816C2×C22⋊C4C2×D412yes—
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—41no—
823C2×C42—41no—
824C2×C42C2×D412yes—
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827C2×C42C2411yescharacteristic
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830#107—22no—
831#107—22no—
832#106—22no—
833#106—22no—
834#106—22no—
835#106—22no—
836#106—22no—
837#106—22no—
838C4⋊C8C2×D414yes—
839C4⋊C8C2×D414yes—
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—22no—
849#103—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872C22⋊C8C2×D414yes—
873C22⋊C8C2×D414yes—
874C22⋊C8C2×D414yes—
875C22⋊C8C2×D414yes—
876#97—41no—
877#97—41no—
878#97—41no—
879#97—41no—
880#97C2×D414yes—
881C4×C8—41no—
882C4×C8—41no—
883C4×C8C2×D414yes—
884#95—22no—
885#95—22no—
886#95—22no—
887#95—22no—
888#95—22no—
889#95—22no—
890#95C2×D412yes—
891#95C2×D412yes—
892#95C2×D412yes—
893#95C2×D412yes—
894#95C2×D412yes—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—42no—
903C24—42no—
904C24—42no—
905C24—44no—
906C24—42no—
907C24—42no—
908C24—42no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24—82no—
913C24—82no—
914C24—82no—
915C24—82no—
916C24—82no—
917C24C22×D411yescharacteristic
918C24C22×D411yescharacteristic
919#41—44no—
920#41—44no—
921#41—44no—
922#41—44no—
923#41—82no—
924#41—82no—
925#41—82no—
926#41—82no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
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—42no—
945C2×Q8—44no—
946C2×Q8—44no—
947C2×Q8—42no—
948C2×Q8—42no—
949C2×Q8—81no—
950C2×Q8—82no—
951C2×Q8—82no—
952C2×Q8—82no—
953C2×Q8H(5,𝔽2)12yes—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
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—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—42no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—82no—
1028C2×D4—82no—
1029C2×D4—82no—
1030C2×D4—82no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—82no—
1035C2×D4—82no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—82no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—82no—
1053C2×D4—816no—
1054C2×D4#12714yes—
1055C2×D4H(5,𝔽2)12yes—
1056C2×D4H(5,𝔽2)12yes—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—82no—
1087C22×C4—82no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—82no—
1091C22×C4—81no—
1092C22×C4C22×D412yes—
1093C22×C4C22×D412yes—
1094C22×C4C22×D412yes—
1095C22×C4C22×D412yes—
1096C22×C4C22×D411yescharacteristic
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D412yes—
1101C22×C4C22×D412yes—
1102C22×C4C22×D412yes—
1103C22×C4C22×D412yes—
1104C22×C4C2511yescharacteristic
1105Q16—44no—
1106Q16—44no—
1107SD16—28no—
1108SD16—44no—
1109SD16—44no—
1110SD16—44no—
1111SD16—44no—
1112SD16—44no—
1113SD16—82no—
1114SD16—82no—
1115SD16—82no—
1116SD16—82no—
1117D8—28no—
1118D8—44no—
1119D8—44no—
1120D8—44no—
1121D8—44no—
1122D8—44no—
1123D8—44no—
1124D8—44no—
1125D8—82no—
1126D8—82no—
1127D8—82no—
1128D8—82no—
1129M16—44no—
1130M16—44no—
1131M16—44no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—44no—
1149C2×C8C22×D412yes—
1150C2×C8C22×D412yes—
1151C2×C8C22×D412yes—
1152C2×C8C22×D412yes—
1153C2×C8C22×D412yes—
1154C2×C8C22×D412yes—
1155C2×C8C22×D412yes—
1156C2×C8C22×D412yes—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—44no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—82no—
1177C4⋊C4—82no—
1178C4⋊C4#12714yes—
1179C22⋊C4—28no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
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—82no—
1206C22⋊C4—82no—
1207C22⋊C4—82no—
1208C22⋊C4—82no—
1209C22⋊C4—82no—
1210C22⋊C4—82no—
1211C22⋊C4—82no—
1212C22⋊C4—82no—
1213C22⋊C4—82no—
1214C22⋊C4—82no—
1215C22⋊C4—82no—
1216C22⋊C4—82no—
1217C22⋊C4#12714yes—
1218C22⋊C4#12714yes—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—42no—
1228C42—42no—
1229C42—42no—
1230C42—42no—
1231C42C22×D412yes—
1232C42C22×D412yes—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—22no—
1242C23—22no—
1243C23—42no—
1244C23—42no—
1245C23—42no—
1246C23—42no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—42no—
1252C23—42no—
1253C23—42no—
1254C23—42no—
1255C23—42no—
1256C23—42no—
1257C23—42no—
1258C23—42no—
1259C23—42no—
1260C23—42no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—84no—
1277C23—84no—
1278C23—84no—
1279C23—84no—
1280C23—84no—
1281C23—84no—
1282C23—88no—
1283C23—162no—
1284C23—162no—
1285C23—162no—
1286C23—164no—
1287C23—164no—
1288C23—164no—
1289C23—164no—
1290C23—164no—
1291C23C2×#12712yes—
1292C23C2×#12712yes—
1293C23C23×D411yescharacteristic
1294Q8—22no—
1295Q8—22no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305Q8—41no—
1306Q8—84no—
1307Q8—162no—
1308D4—22no—
1309D4—22no—
1310D4—22no—
1311D4—22no—
1312D4—44no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—84no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—162no—
1347D4—164no—
1348D4—164no—
1349D4—164no—
1350D4—164no—
1351D4—164no—
1352D4—162no—
1353D4—162no—
1354D4—162no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—42no—
1385C2×C4—42no—
1386C2×C4—42no—
1387C2×C4—42no—
1388C2×C4—42no—
1389C2×C4—42no—
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—84no—
1403C2×C4—84no—
1404C2×C4—84no—
1405C2×C4—84no—
1406C2×C4—84no—
1407C2×C4—84no—
1408C2×C4—162no—
1409C2×C4C2×#12712yes—
1410C2×C4C2×#12712yes—
1411C2×C4C2×#12712yes—
1412C2×C4C2×#12712yes—
1413C2×C4C23×D411yescharacteristic
1414C2×C4C23×D411yescharacteristic
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4C2×H(5,𝔽2)11yescharacteristic
1418C2×C4#58511yescharacteristic
1419C8—22no—
1420C8—22no—
1421C8—22no—
1422C8—22no—
1423C8—22no—
1424C8—22no—
1425C8—22no—
1426C8—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—44no—
1440C22—44no—
1441C22—82no—
1442C22—82no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—82no—
1453C22—82no—
1454C22—82no—
1455C22—82no—
1456C22—82no—
1457C22—82no—
1458C22—82no—
1459C22—82no—
1460C22—82no—
1461C22—82no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—168no—
1473C22—168no—
1474C22—168no—
1475C22C22×#12711yescharacteristic
1476C22#348411yescharacteristic
1477C22#348811yescharacteristic
1478C22#358512yes—
1479C22#358512yes—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4#348411yescharacteristic
1498C4#348411yescharacteristic
1499C4#348811yescharacteristic
1500C4#348811yescharacteristic
1501C2—42no—
1502C2—42no—
1503C2—82no—
1504C2—82no—
1505C2—161no—
1506C2—161no—
1507C2—161no—
1508C2—161no—
1509C2—161no—
1510C2#3592111yescharacteristic
1511C2#6064411yescharacteristic
1512C2#6065011yescharacteristic
1513C2#6165312yes—
1514C2#6208812yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3325C2semidirect
2. C2×#3321C2semidirect
3. C2×#3275C2semidirect
4. C2×#3264C2semidirect
5. #38090C2semidirect
6. #37677C2semidirect
7. #30274C2semidirect
8. #30256C2semidirect
9. #30247C2semidirect
10. #28474C2semidirect
11. #28467C2semidirect
12. #28454C2semidirect
13. #28430C2semidirect
14. #28415C2semidirect
15. #28395C2semidirect
16. #28363C2semidirect
17. #28361C2semidirect
18. #28353C2semidirect
19. #28352C2semidirect
20. #28321C2semidirect
21. #28316C2semidirect
22. #25797C2semidirect
23. #25794C2semidirect
24. #25794C2semidirect
25. #25788C2semidirect
26. #25736C2semidirect
27. #25731C2semidirect
28. #23808C2semidirect
29. #23431C2semidirect
30. #23422C2semidirect
31. #20564C2semidirect
32. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
41. C22×#124C22semidirect
48. C2×#496C22semidirect
49. C2×#496C22semidirect
50. C2×#496C22semidirect
51. C2×#495C22semidirect
52. C2×#495C22semidirect
53. C2×#493C22semidirect
54. C2×#489C22semidirect
55. C2×#486C22semidirect
56. C2×#485C22semidirect
58. C2×#482C22semidirect
59. C2×#482C22semidirect
60. C2×#475C22semidirect
61. C2×#476C22semidirect
62. C2×#470C22semidirect
65. C2×#469C22semidirect
66. C2×#469C22semidirect
67. C2×#469C22semidirect
69. C2×#465C22semidirect
70. C2×#464C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
75. C2×#459C22semidirect
76. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
83. C2×#450C22semidirect
87. C2×#447C22semidirect
89. C2×#440C22semidirect
90. C2×C4×SD16C22semidirect
91. C2×C4×D8C22semidirect
94. C2×#419C22semidirect
96. C2×#418C22semidirect
97. C2×#416C22semidirect
98. #2856C22semidirect
99. #2856C22semidirect
104. #2657C22semidirect
105. #2640C22semidirect
107. #2620C22semidirect
108. #2548C22semidirect
109. #2544C22semidirect
110. #2544C22semidirect
111. #2542C22semidirect
112. #2500C22semidirect
113. #2499C22semidirect
116. #2436C22semidirect
118. #2433C22semidirect
119. #2433C22semidirect
121. #2431C22semidirect
124. #2328C22semidirect
125. #2326C22semidirect
126. #2309C22semidirect
127. #2297C22semidirect
129. #2097C22semidirect
130. #2096C22semidirect
131. #2096C22semidirect
132. #2094C22semidirect
133. #2094C22semidirect
134. #2094C22semidirect
135. #2094C22semidirect
136. #2094C22semidirect
137. #2093C22semidirect
138. #2092C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2015C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2014C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2012C22semidirect
157. #2012C22semidirect
158. #2012C22semidirect
159. #2012C22semidirect
163. #2011C22semidirect
164. #2011C22semidirect
165. #2011C22semidirect
166. #2011C22semidirect
167. #2011C22semidirect
168. #2011C22semidirect
169. #1973C22semidirect
170. #1973C22semidirect
171. #1973C22semidirect
173. #1972C22semidirect
174. #1972C22semidirect
175. #1972C22semidirect
176. #1971C22semidirect
177. #1970C22semidirect
178. #1968C22semidirect
179. #1968C22semidirect
180. #1968C22semidirect
181. #1961C22semidirect
182. #1959C22semidirect
183. #1959C22semidirect
184. #1959C22semidirect
185. #1958C22semidirect
186. #1957C22semidirect
187. #1771C22semidirect
188. #1770C22semidirect
189. #1768C22semidirect
190. #1753C22semidirect
191. #1753C22semidirect
192. #1753C22semidirect
193. #1752C22semidirect
194. #1750C22semidirect
195. #1749C22semidirect
196. #1746C22semidirect
197. #1729C22semidirect
198. #1728C22semidirect
361. #436D4semidirect
362. #435D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33252
C2×#33212
C2×#32752
C2×#32642
#380902
#376772
#302742
#302562
#302472
#284742
#284672
#284542
#284302
#284152
#283952
#283632
#283612
#283532
#283522
#283212
#283162
#257972
#257942
#257882
#257362
#257312
#238082
#234312
#234222
#205642