Finite Group Databasebeta

← #6558126

Subgroups — #6558126

Order 512.

2641 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3308C211yesmaximal, characteristic, complemented
2C2×#3306C211yesmaximal, characteristic, complemented
3C2×#3269C211yesmaximal, characteristic, complemented
4C2×#3267C211yesmaximal, characteristic, complemented
5#39357C211yesmaximal, characteristic, complemented
6#38951C211yesmaximal, characteristic, complemented
7#30269C211yesmaximal, characteristic, complemented
8#30252C211yesmaximal, characteristic, complemented
9#30251C211yesmaximal, characteristic, complemented
10#28479C211yesmaximal, characteristic, complemented
11#28476C211yesmaximal, characteristic, complemented
12#28445C211yesmaximal, characteristic, complemented
13#28430C211yesmaximal, characteristic, complemented
14#28426C211yesmaximal, characteristic, complemented
15#28384C211yesmaximal, characteristic, complemented
16#28362C211yesmaximal, characteristic, complemented
17#28360C211yesmaximal, characteristic, complemented
18#28347C211yesmaximal, characteristic, complemented
19#28342C211yesmaximal, characteristic, complemented
20#28326C211yesmaximal, characteristic, complemented
21#28325C211yesmaximal, characteristic, complemented
22#25797C211yesmaximal, characteristic, complemented
23#25793C211yesmaximal, characteristic, complemented
24#25787C211yesmaximal, characteristic, complemented
25#25785C211yesmaximal, characteristic, complemented
26#25737C211yesmaximal, characteristic, complemented
27#25736C211yesmaximal, characteristic, complemented
28#23806C211yesmaximal, characteristic, complemented
29#23427C211yesmaximal, characteristic, complemented
30#23426C211yesmaximal, characteristic, complemented
31#20563C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic
35C22×#135C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#535C2211yescharacteristic
42#3308—28no—
43#3306—28no—
44#3269—28no—
45#3267—28no—
46C2×#497C2211yescharacteristic
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#496C2211yescharacteristic
50C2×#496C2211yescharacteristic
51C2×#496C2211yescharacteristic, complemented
52C2×#495C2211yescharacteristic
53C2×#495C2211yescharacteristic
54C2×#489C2211yescharacteristic
55C2×#489C2211yescharacteristic, complemented
56C2×#484C2211yescharacteristic
57C2×#481C2211yescharacteristic
58C2×#483C2211yescharacteristic
59C2×#480C2211yescharacteristic, complemented
60C2×#477C2211yescharacteristic, complemented
61C2×#476C2211yescharacteristic
62C2×#470C2211yescharacteristic
63C2×#469C2211yescharacteristic
64C2×#468C2211yescharacteristic
65C2×#468C2211yescharacteristic, complemented
66C2×#467C2211yescharacteristic
67C2×#466C2211yescharacteristic, complemented
68C2×#465C2211yescharacteristic
69C2×#465C2211yescharacteristic
70C2×#462C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic
72C2×#463C2211yescharacteristic
73C2×#463C2211yescharacteristic, complemented
74C2×#463C2211yescharacteristic, complemented
75C2×#461C2211yescharacteristic
76C2×#452C2211yescharacteristic
77C2×#452C2211yescharacteristic
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic, complemented
84C2×#451C2211yescharacteristic, complemented
85C2×#448C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic
87C2×#447C2211yescharacteristic
88C2×#442C2211yescharacteristic
89C2×#442C2211yescharacteristic
90C2×#440C2211yescharacteristic, complemented
91C2×#440C2211yescharacteristic, complemented
92C2×#435C2211yescharacteristic
93C2×#435C2211yescharacteristic
94C2×#417C2211yescharacteristic
95C2×#417C2211yescharacteristic
96C22×#103C2211yescharacteristic, complemented
97C22×#102C2211yescharacteristic
98#2862C2211yescharacteristic, complemented
99#2858C2211yescharacteristic
100#2706—22no—
101#2706—22no—
102#2681—22no—
103#2678—22no—
104#2621C2211yescharacteristic
105#2620C2211yescharacteristic
106#2620C2211yescharacteristic, complemented
107#2619C2211yescharacteristic
108#2547C2211yescharacteristic, complemented
109#2545C2211yescharacteristic
110#2544C2211yescharacteristic
111#2542C2211yescharacteristic, complemented
112#2502C2211yescharacteristic
113#2502C2211yescharacteristic, complemented
114#2472—22no—
115#2464—22no—
116#2436C2211yescharacteristic
117#2435C2211yescharacteristic
118#2432C2211yescharacteristic
119#2431C2211yescharacteristic
120#2431C2211yescharacteristic
121#2431C2211yescharacteristic, complemented
122#2417—22no—
123#2407—22no—
124#2311C2211yescharacteristic
125#2311C2211yescharacteristic, complemented
126C4×#127C2211yescharacteristic, complemented
127C4×#124C2211yescharacteristic
128#2293C2211yescharacteristic
129#2097C2211yescharacteristic, complemented
130#2097C2211yescharacteristic, complemented
131#2096C2211yescharacteristic, complemented
132#2096C2211yescharacteristic, complemented
133#2095C2211yescharacteristic, complemented
134#2094C2211yescharacteristic, complemented
135#2093C2211yescharacteristic
136#2093C2211yescharacteristic
137#2092C2211yescharacteristic, complemented
138#2092C2211yescharacteristic, complemented
139#2016C2211yescharacteristic, complemented
140#2016C2211yescharacteristic, complemented
141#2016C2211yescharacteristic, complemented
142#2015C2211yescharacteristic
143#2015C2211yescharacteristic
144#2015C2211yescharacteristic
145#2015C2211yescharacteristic
146#2015C2211yescharacteristic
147#2015C2211yescharacteristic
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2014C2211yescharacteristic
153#2014C2211yescharacteristic
154#2014C2211yescharacteristic
155#2014C2211yescharacteristic, complemented
156#2013C2211yescharacteristic, complemented
157#2013C2211yescharacteristic, complemented
158#2013C2211yescharacteristic, complemented
159#2012C2211yescharacteristic
160#2012C2211yescharacteristic
161#2012C2211yescharacteristic
162#2012C2211yescharacteristic
163#2012C2211yescharacteristic
164#2012C2211yescharacteristic, complemented
165#2011C2211yescharacteristic
166#2011C2211yescharacteristic
167#2011C2211yescharacteristic
168#2011C2211yescharacteristic
169#1973C2211yescharacteristic
170#1973C2211yescharacteristic
171#1973C2211yescharacteristic
172#1973C2211yescharacteristic, complemented
173#1972C2211yescharacteristic, complemented
174#1971C2211yescharacteristic, complemented
175#1971C2211yescharacteristic, complemented
176#1971C2211yescharacteristic, complemented
177#1970C2211yescharacteristic
178#1969C2211yescharacteristic, complemented
179#1968C2211yescharacteristic, complemented
180#1968C2211yescharacteristic, complemented
181#1959C2211yescharacteristic
182#1959C2211yescharacteristic
183#1959C2211yescharacteristic
184#1959C2211yescharacteristic, complemented
185#1957C2211yescharacteristic
186#1956C2211yescharacteristic, complemented
187#1771C2211yescharacteristic, complemented
188#1771C2211yescharacteristic, complemented
189#1767C2211yescharacteristic, complemented
190#1753C2211yescharacteristic
191#1753C2211yescharacteristic, complemented
192#1752C2211yescharacteristic
193#1752C2211yescharacteristic, complemented
194#1750C2211yescharacteristic
195#1750C2211yescharacteristic, complemented
196#1745C2211yescharacteristic, complemented
197#1729C2211yescharacteristic
198#1729C2211yescharacteristic, complemented
199C22×#41—21no—
200C22×#41C2311yescharacteristic
201C22×#41C2311yescharacteristic
202C22×#41C2311yescharacteristic
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×#137—24no—
207C2×#137—42no—
208C2×#137—42no—
209C2×AGL(1,ℤ/8)—24no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×#135—24no—
213C2×#135—24no—
214C2×#135—42no—
215C2×#135—42no—
216C2×#135—42no—
217C2×#135—42no—
218C22×Q16C2311yescharacteristic
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C23×C8C2311yescharacteristic
245C23×C8C2311yescharacteristic
246#548—24no—
247#548—24no—
248#547—24no—
249#547—24no—
250#547—24no—
251#547—24no—
252#546—24no—
253#546—24no—
254#536—42no—
255#536—42no—
256#535—42no—
257#535—42no—
258C2×C4⋊Q8C2311yescharacteristic
259C2×C4⋊Q8C2311yescharacteristic
260C2×C4⋊Q8C2311yescharacteristic
261C2×C4⋊Q8C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#124—21no—
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#123—21no—
276C2×#123—22no—
277C2×#123—21no—
278C2×#123—21no—
279C2×#123—21no—
280C2×#123—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—22no—
283C2×C22⋊Q8—21no—
284C2×C22⋊Q8—22no—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—22no—
292C2×#121—21no—
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#120—21no—
298C2×#120—22no—
299C2×C4×Q8C2311yescharacteristic
300C2×C4×D4—21no—
301C2×C4×D4—22no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C22×C4⋊C4—21no—
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C22⋊C4—21no—
312#497—24no—
313#497—24no—
314#497—42no—
315#496—42no—
316#496—42no—
317#496—42no—
318#495—42no—
319#495—42no—
320#489—24no—
321#489—24no—
322#484—24no—
323#483—24no—
324#481—24no—
325#480—24no—
326#477—24no—
327#476—24no—
328#470—24no—
329#469—24no—
330#468—24no—
331#468—24no—
332#467—24no—
333#466—24no—
334#465—24no—
335#465—24no—
336#463—24no—
337#463—24no—
338#463—24no—
339#463—24no—
340#462—24no—
341#461—24no—
342#452—24no—
343#452—24no—
344#452—24no—
345#452—24no—
346#451—24no—
347#450—24no—
348#449—24no—
349#449—24no—
350#449—24no—
351#449—24no—
352#448—24no—
353#447—24no—
354#442—24no—
355#442—24no—
356#440—24no—
357#440—24no—
358#435D418yescomplemented
359#435D418yescomplemented
360C2×#107C2311yescharacteristic
361C2×#107C2311yescharacteristic
362C2×#107C2311yescharacteristic
363C2×#107C2311yescharacteristic
364C2×#106C2311yescharacteristic
365C2×#106C2311yescharacteristic
366C2×#106C2311yescharacteristic
367C2×#106C2311yescharacteristic
368C2×C4⋊C8C2311yescharacteristic
369C2×C4⋊C8C2311yescharacteristic
370#417—24no—
371#417—24no—
372C2×#103—24no—
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#102—24no—
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×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×#97C2311yescharacteristic
411C2×#97C2311yescharacteristic
412C2×#97C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×#97C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418#399—22no—
419#398—22no—
420#398—22no—
421#398—22no—
422#397—22no—
423#397—22no—
424#396—22no—
425#396—22no—
426#396—22no—
427#394—22no—
428#394—22no—
429#394—22no—
430#394—22no—
431#394—22no—
432#394—22no—
433#393—22no—
434#392—22no—
435#392—22no—
436#392—22no—
437#392—22no—
438#391—22no—
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#390—22no—
449#390—22no—
450#390—22no—
451#390D412yes—
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#389D412yes—
460#388—22no—
461#388—22no—
462#388D412yes—
463#388D412yes—
464#386—22no—
465#386—22no—
466#386—22no—
467#386—22no—
468#386—22no—
469#386—22no—
470#386—22no—
471#385—22no—
472#385—22no—
473#385—22no—
474#384C2311yescharacteristic
475#384C2311yescharacteristic
476#384C2311yescharacteristic
477#382—22no—
478#382C2311yescharacteristic
479#380—22no—
480#380—22no—
481#380—22no—
482#379—22no—
483C4×C4⋊C4C2311yescharacteristic
484C4×C22⋊C4—22no—
485C4×C22⋊C4C2311yescharacteristic
486C4×C22⋊C4C2311yescharacteristic
487C43C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498C25—21no—
499C2×#41—22no—
500C2×#41—22no—
501C2×#41—22no—
502C2×#41—22no—
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—44no—
524C2×#41—84no—
525C22×Q8—21no—
526C22×Q8—21no—
527C22×Q8—22no—
528C22×Q8—22no—
529C22×Q8—22no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8C2411yescharacteristic
534C22×Q8C2411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×D4—22no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—21no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4C2×D411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574#137—416no—
575AGL(1,ℤ/8)—416no—
576#135—416no—
577#135—416no—
578C2×Q16—22no—
579C2×Q16—22no—
580C2×Q16—22no—
581C2×Q16—22no—
582C2×Q16—22no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—22no—
586C2×Q16—41no—
587C2×Q16—41no—
588C2×Q16—41no—
589C2×Q16—41no—
590C2×Q16—41no—
591C2×Q16—41no—
592C2×Q16—41no—
593C2×Q16—41no—
594C2×Q16—41no—
595C2×Q16—41no—
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—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
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×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×D8—22no—
633C2×D8—22no—
634C2×D8—22no—
635C2×D8—22no—
636C2×D8—22no—
637C2×D8—22no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×M16—41no—
651C2×M16—41no—
652C2×M16—41no—
653C2×M16—41no—
654C2×M16C2×D414yes—
655C2×M16C2×D414yes—
656C22×C8—41no—
657C22×C8—41no—
658C22×C8—41no—
659C22×C8—41no—
660C22×C8C2×D414yes—
661C22×C8C2×D414yes—
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C4⋊Q8—22no—
671C4⋊Q8—22no—
672C4⋊Q8—22no—
673C4⋊Q8—22no—
674C4⋊Q8—22no—
675C4⋊Q8—41no—
676C4⋊Q8—41no—
677C4⋊Q8—41no—
678#127—22no—
679#127—22no—
680#127—41no—
681#127—41no—
682#127—41no—
683#127—41no—
684#124—22no—
685#124—22no—
686#124—22no—
687#124—22no—
688#124—22no—
689#124—22no—
690#124—22no—
691#124—22no—
692#124—41no—
693#124—41no—
694#124—41no—
695#124—41no—
696#124—41no—
697#124—41no—
698#124—41no—
699#124—41no—
700#124—41no—
701#124—41no—
702#124—44no—
703#123—48no—
704#123—44no—
705#123—44no—
706#123—44no—
707#123—44no—
708#123—44no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—22no—
712C22⋊Q8—22no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—22no—
716C22⋊Q8—22no—
717C22⋊Q8—48no—
718C22⋊Q8—44no—
719C22⋊Q8—44no—
720C22⋊Q8—84no—
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—48no—
730#121—44no—
731#121—44no—
732#121—44no—
733#120—48no—
734#120—44no—
735C4×Q8—22no—
736C4×Q8—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—44no—
744C4×D4—84no—
745C4×D4C2×D414yes—
746C4×D4C2×D414yes—
747#117—41no—
748#117—41no—
749#117—41no—
750#117—41no—
751C2×C4⋊C4—22no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
769C2×C4⋊C4—22no—
770C2×C4⋊C4—44no—
771C2×C4⋊C4C2×D412yes—
772C2×C4⋊C4C2×D412yes—
773C2×C4⋊C4C2×D412yes—
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C22⋊C4—22no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
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—44no—
811C2×C22⋊C4C2×D412yes—
812C2×C22⋊C4C2×D412yes—
813C2×C22⋊C4C2×D412yes—
814C2×C22⋊C4C2×D412yes—
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C42—21no—
818C2×C42C2×D412yes—
819C2×C42C2×D412yes—
820C2×C42C2411yescharacteristic
821C2×C42C2411yescharacteristic
822C2×C42C2411yescharacteristic
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825#107—22no—
826#107—22no—
827#107—22no—
828#107—22no—
829#106—22no—
830#106—22no—
831#106—22no—
832#106—22no—
833C4⋊C8C2×D414yes—
834C4⋊C8C2×D414yes—
835#103—22no—
836#103—22no—
837#103—22no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—22no—
849#103—22no—
850#103—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—
867C22⋊C8C2×D414yes—
868C22⋊C8C2×D414yes—
869C22⋊C8C2×D414yes—
870C22⋊C8C2×D414yes—
871#97—41no—
872#97—41no—
873#97—41no—
874#97—41no—
875#97C2×D414yes—
876#97C2×D414yes—
877C4×C8—41no—
878C4×C8—41no—
879#95—22no—
880#95—22no—
881#95—22no—
882#95—22no—
883#95—22no—
884#95—22no—
885#95—22no—
886#95—22no—
887#95—22no—
888#95—22no—
889#95C2×D412yes—
890#95C2×D412yes—
891#95C2×D412yes—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—42no—
898C24—42no—
899C24—81no—
900C24—82no—
901C24—82no—
902C24C22×D411yescharacteristic
903C24C22×D411yescharacteristic
904#41—44no—
905#41—44no—
906#41—44no—
907#41—44no—
908#41—44no—
909#41—44no—
910#41—44no—
911#41—44no—
912#41—82no—
913#41—82no—
914#41—82no—
915#41—82no—
916#41—82no—
917#41—82no—
918#41—82no—
919#41—82no—
920#41—816no—
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—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—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—42no—
951C2×Q8—44no—
952C2×Q8—44no—
953C2×Q8—44no—
954C2×Q8—42no—
955C2×Q8—42no—
956C2×Q8—81no—
957C2×Q8—82no—
958C2×Q8—82no—
959C2×Q8H(5,𝔽2)12yes—
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—44no—
989C2×D4—44no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—81no—
1013C2×D4—82no—
1014C2×D4—82no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4#12714yes—
1026C2×D4H(5,𝔽2)12yes—
1027C2×D4H(5,𝔽2)12yes—
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—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—44no—
1053C22×C4—44no—
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—42no—
1063C22×C4—42no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—82no—
1069C22×C4—81no—
1070C22×C4—82no—
1071C22×C4—82no—
1072C22×C4C22×D412yes—
1073C22×C4C22×D412yes—
1074C22×C4C22×D412yes—
1075C22×C4C22×D412yes—
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D412yes—
1081C22×C4C22×D412yes—
1082C22×C4C22×D412yes—
1083C22×C4C22×D412yes—
1084C22×C4C2511yescharacteristic
1085Q16—44no—
1086Q16—44no—
1087Q16—44no—
1088Q16—44no—
1089Q16—82no—
1090Q16—82no—
1091SD16—28no—
1092SD16—44no—
1093SD16—44no—
1094SD16—44no—
1095SD16—44no—
1096SD16—44no—
1097SD16—44no—
1098SD16—44no—
1099SD16—82no—
1100SD16—82no—
1101SD16—82no—
1102SD16—82no—
1103D8—28no—
1104D8—44no—
1105D8—44no—
1106D8—44no—
1107D8—82no—
1108D8—82no—
1109M16—44no—
1110M16—44no—
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—44no—
1128C2×C8—44no—
1129C2×C8C22×D412yes—
1130C2×C8C22×D412yes—
1131C2×C8C22×D412yes—
1132C2×C8C22×D412yes—
1133C2×C8C22×D412yes—
1134C2×C8C22×D412yes—
1135C2×C8C22×D412yes—
1136C2×C8C22×D412yes—
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—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
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—82no—
1165C4⋊C4—82no—
1166C4⋊C4—82no—
1167C4⋊C4#12714yes—
1168C22⋊C4—28no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
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—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—82no—
1191C22⋊C4—82no—
1192C22⋊C4—82no—
1193C22⋊C4—82no—
1194C22⋊C4—82no—
1195C22⋊C4—82no—
1196C22⋊C4—82no—
1197C22⋊C4—82no—
1198C22⋊C4—82no—
1199C22⋊C4—82no—
1200C22⋊C4—82no—
1201C22⋊C4#12714yes—
1202C22⋊C4#12714yes—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—21no—
1211C42—42no—
1212C42—42no—
1213C42—42no—
1214C42C22×D412yes—
1215C42C22×D412yes—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—22no—
1225C23—22no—
1226C23—42no—
1227C23—42no—
1228C23—42no—
1229C23—42no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—42no—
1235C23—42no—
1236C23—42no—
1237C23—42no—
1238C23—42no—
1239C23—42no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—84no—
1250C23—84no—
1251C23—162no—
1252C23—164no—
1253C23—164no—
1254C23C2×#12712yes—
1255C23C2×#12712yes—
1256C23C23×D411yescharacteristic
1257Q8—22no—
1258Q8—22no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—84no—
1278Q8—84no—
1279D4—22no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—44no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—84no—
1301D4—84no—
1302D4—88no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—84no—
1308D4—84no—
1309D4—164no—
1310D4—164no—
1311D4—162no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—42no—
1342C2×C4—42no—
1343C2×C4—42no—
1344C2×C4—42no—
1345C2×C4—42no—
1346C2×C4—42no—
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—84no—
1366C2×C4—84no—
1367C2×C4—84no—
1368C2×C4—84no—
1369C2×C4—84no—
1370C2×C4—84no—
1371C2×C4—84no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—162no—
1375C2×C4C2×#12712yes—
1376C2×C4C2×#12712yes—
1377C2×C4C2×#12712yes—
1378C2×C4C2×#12712yes—
1379C2×C4C23×D411yescharacteristic
1380C2×C4C23×D411yescharacteristic
1381C2×C4C2×H(5,𝔽2)11yescharacteristic
1382C2×C4C2×H(5,𝔽2)11yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4#58511yescharacteristic
1385C8—22no—
1386C8—22no—
1387C8—22no—
1388C8—22no—
1389C8—22no—
1390C8—22no—
1391C8—22no—
1392C8—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—44no—
1406C22—44no—
1407C22—82no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—82no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—82no—
1417C22—82no—
1418C22—82no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—82no—
1426C22—82no—
1427C22—82no—
1428C22—168no—
1429C22C22×#12711yescharacteristic
1430C22#348411yescharacteristic
1431C22#348811yescharacteristic
1432C22#358512yes—
1433C22#358612yes—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—42no—
1439C4—42no—
1440C4—42no—
1441C4—42no—
1442C4—42no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4#348411yescharacteristic
1454C4#348411yescharacteristic
1455C4#348811yescharacteristic
1456C4#348811yescharacteristic
1457C2—42no—
1458C2—42no—
1459C2—82no—
1460C2—82no—
1461C2—161no—
1462C2—161no—
1463C2—161no—
1464C2#3592111yescharacteristic
1465C2#6064411yescharacteristic
1466C2#6065111yescharacteristic
1467C2#6167712yes—
1468C2#6207612yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2293 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3308C2semidirect
2. C2×#3306C2semidirect
3. C2×#3269C2semidirect
4. C2×#3267C2semidirect
5. #39357C2semidirect
6. #38951C2semidirect
7. #30269C2semidirect
8. #30252C2semidirect
9. #30251C2semidirect
10. #28479C2semidirect
11. #28476C2semidirect
12. #28445C2semidirect
13. #28430C2semidirect
14. #28426C2semidirect
15. #28384C2semidirect
16. #28362C2semidirect
17. #28360C2semidirect
18. #28347C2semidirect
19. #28342C2semidirect
20. #28326C2semidirect
21. #28325C2semidirect
22. #25797C2semidirect
23. #25793C2semidirect
24. #25787C2semidirect
25. #25785C2semidirect
26. #25737C2semidirect
27. #25736C2semidirect
28. #23806C2semidirect
29. #23427C2semidirect
30. #23426C2semidirect
31. #20563C2semidirect
32. C22×#137C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
51. C2×#496C22semidirect
55. C2×#489C22semidirect
59. C2×#480C22semidirect
60. C2×#477C22semidirect
65. C2×#468C22semidirect
67. C2×#466C22semidirect
70. C2×#462C22semidirect
73. C2×#463C22semidirect
74. C2×#463C22semidirect
83. C2×#449C22semidirect
84. C2×#451C22semidirect
85. C2×#448C22semidirect
90. C2×#440C22semidirect
91. C2×#440C22semidirect
96. C22×#103C22semidirect
98. #2862C22semidirect
106. #2620C22semidirect
108. #2547C22semidirect
111. #2542C22semidirect
113. #2502C22semidirect
121. #2431C22semidirect
125. #2311C22semidirect
126. C4×#127C22semidirect
129. #2097C22semidirect
130. #2097C22semidirect
131. #2096C22semidirect
132. #2096C22semidirect
133. #2095C22semidirect
134. #2094C22semidirect
137. #2092C22semidirect
138. #2092C22semidirect
139. #2016C22semidirect
140. #2016C22semidirect
141. #2016C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
155. #2014C22semidirect
156. #2013C22semidirect
157. #2013C22semidirect
158. #2013C22semidirect
164. #2012C22semidirect
172. #1973C22semidirect
173. #1972C22semidirect
174. #1971C22semidirect
175. #1971C22semidirect
176. #1971C22semidirect
178. #1969C22semidirect
179. #1968C22semidirect
180. #1968C22semidirect
184. #1959C22semidirect
186. #1956C22semidirect
187. #1771C22semidirect
188. #1771C22semidirect
189. #1767C22semidirect
191. #1753C22semidirect
193. #1752C22semidirect
195. #1750C22semidirect
196. #1745C22semidirect
198. #1729C22semidirect
358. #435D4semidirect
359. #435D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33082
C2×#33062
C2×#32692
C2×#32672
#393572
#389512
#302692
#302522
#302512
#284792
#284762
#284452
#284302
#284262
#283842
#283622
#283602
#283472
#283422
#283262
#283252
#257972
#257932
#257872
#257852
#257372
#257362
#238062
#234272
#234262
#205632