Finite Group Databasebeta

← #6520499

Subgroups — #6520499

Order 512.

2512 conjugacy classes of subgroups.

The subgroup lattice has 1419 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3224C211yesmaximal, characteristic, complemented
2C2×#3222C211yesmaximal, characteristic, complemented
3C2×#3123C211yesmaximal, characteristic, complemented
4C2×#3118C211yesmaximal, characteristic, complemented
5#37389C211yesmaximal, characteristic, complemented
6#35528C211yesmaximal, characteristic, complemented
7#28480C211yesmaximal, characteristic, complemented
8#28480C211yesmaximal, characteristic, complemented
9#28479C211yesmaximal, characteristic, complemented
10#28478C211yesmaximal, characteristic, complemented
11#28472C211yesmaximal, characteristic, complemented
12#28468C211yesmaximal, characteristic, complemented
13#28464C211yesmaximal, characteristic, complemented
14#28461C211yesmaximal, characteristic, complemented
15#28436C211yesmaximal, characteristic, complemented
16#28435C211yesmaximal, characteristic, complemented
17#28428C211yesmaximal, characteristic, complemented
18#28421C211yesmaximal, characteristic, complemented
19#28420C211yesmaximal, characteristic, complemented
20#28412C211yesmaximal, characteristic, complemented
21#28405C211yesmaximal, characteristic, complemented
22#28404C211yesmaximal, characteristic, complemented
23#28321C211yesmaximal, characteristic, complemented
24#28320C211yesmaximal, characteristic, complemented
25#28317C211yesmaximal, characteristic, complemented
26#28309C211yesmaximal, characteristic, complemented
27#25736C211yesmaximal, characteristic, complemented
28#25732C211yesmaximal, characteristic, complemented
29#25725C211yesmaximal, characteristic, complemented
30#25717C211yesmaximal, characteristic, complemented
31#20541C211yesmaximal, characteristic, complemented
32C2×#542C2211yescharacteristic
33C2×#541C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C22×#127C2211yescharacteristic
37C2×#518C2211yescharacteristic
38#3224—28no—
39#3222—28no—
40C2×#497C2211yescharacteristic, complemented
41C2×#497C2211yescharacteristic, complemented
42C2×#496C2211yescharacteristic
43C2×#496C2211yescharacteristic
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#495C2211yescharacteristic, complemented
47C2×#495C2211yescharacteristic, complemented
48C2×#492C2211yescharacteristic
49C2×#492C2211yescharacteristic
50C2×#492C2211yescharacteristic, complemented
51C2×#492C2211yescharacteristic, complemented
52C2×#490C2211yescharacteristic, complemented
53C2×#489C2211yescharacteristic, complemented
54C2×#488C2211yescharacteristic, complemented
55C2×#486C2211yescharacteristic, complemented
56#3123—28no—
57#3118—28no—
58C2×#485C2211yescharacteristic
59C2×#485C2211yescharacteristic
60C2×#485C2211yescharacteristic
61C2×#482C2211yescharacteristic
62C2×#478C2211yescharacteristic, complemented
63C2×#478C2211yescharacteristic, complemented
64C2×#476C2211yescharacteristic, complemented
65C2×#474C2211yescharacteristic, complemented
66C2×#464C2211yescharacteristic, complemented
67C2×#464C2211yescharacteristic, complemented
68C2×#464C2211yescharacteristic, complemented
69C2×#460C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#460C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, complemented
74C2×#463C2211yescharacteristic, complemented
75C2×#461C2211yescharacteristic, complemented
76C2×#461C2211yescharacteristic, complemented
77C2×#459C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#452C2211yescharacteristic
81C2×#449C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#450C2211yescharacteristic
87C2×#450C2211yescharacteristic
88C2×#447C2211yescharacteristic
89C2×#447C2211yescharacteristic
90C2×#442C2211yescharacteristic, complemented
91C2×#440C2211yescharacteristic, complemented
92C2×#440C2211yescharacteristic, complemented
93C2×#440C2211yescharacteristic, complemented
94C2×C4×SD16C2211yescharacteristic, complemented
95C2×C4×SD16C2211yescharacteristic, complemented
96C2×C4×SD16C2211yescharacteristic, complemented
97C2×C4×D8C2211yescharacteristic, complemented
98C2×#433C2211yescharacteristic
99C2×#433C2211yescharacteristic
100#2857C2211yescharacteristic
101#2850C2211yescharacteristic
102#2725—22no—
103#2715—22no—
104#2704—22no—
105#2695—22no—
106#2621C2211yescharacteristic
107#2620C2211yescharacteristic
108#2568C2211yescharacteristic, complemented
109#2567C2211yescharacteristic, complemented
110#2566C2211yescharacteristic, complemented
111#2565C2211yescharacteristic, complemented
112#2547C2211yescharacteristic, complemented
113#2546C2211yescharacteristic, complemented
114#2545C2211yescharacteristic, complemented
115#2545C2211yescharacteristic, complemented
116#2544C2211yescharacteristic
117#2544C2211yescharacteristic
118#2544C2211yescharacteristic
119#2544C2211yescharacteristic
120#2541C2211yescharacteristic
121#2541C2211yescharacteristic
122#2541C2211yescharacteristic
123#2541C2211yescharacteristic
124#2428—22no—
125#2428—22no—
126#2410—22no—
127#2410—22no—
128#2309C2211yescharacteristic
129#2297C2211yescharacteristic
130#2296C2211yescharacteristic
131#2097C2211yescharacteristic, complemented
132#2095C2211yescharacteristic, complemented
133#2094C2211yescharacteristic, complemented
134#2094C2211yescharacteristic, complemented
135#2093C2211yescharacteristic, complemented
136#2092C2211yescharacteristic, complemented
137#2092C2211yescharacteristic, complemented
138#2092C2211yescharacteristic, complemented
139#2016C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2014C2211yescharacteristic
145#2014C2211yescharacteristic
146#2014C2211yescharacteristic
147#2014C2211yescharacteristic
148#2014C2211yescharacteristic
149#2014C2211yescharacteristic
150#2014C2211yescharacteristic, complemented
151#2014C2211yescharacteristic, complemented
152#2014C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2013C2211yescharacteristic, complemented
155#2013C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2012C2211yescharacteristic, complemented
158#2012C2211yescharacteristic, complemented
159#2012C2211yescharacteristic, complemented
160#2011C2211yescharacteristic
161#2011C2211yescharacteristic
162#2011C2211yescharacteristic, complemented
163#1973C2211yescharacteristic, complemented
164#1973C2211yescharacteristic, complemented
165#1973C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1973C2211yescharacteristic, complemented
168#1972C2211yescharacteristic, complemented
169#1971C2211yescharacteristic, complemented
170#1971C2211yescharacteristic, complemented
171#1970C2211yescharacteristic, complemented
172#1970C2211yescharacteristic, complemented
173#1969C2211yescharacteristic, complemented
174#1968C2211yescharacteristic, complemented
175#1968C2211yescharacteristic, complemented
176#1968C2211yescharacteristic, complemented
177#1968C2211yescharacteristic, complemented
178#1968C2211yescharacteristic, complemented
179#1961C2211yescharacteristic
180#1961C2211yescharacteristic
181#1961C2211yescharacteristic, complemented
182#1959C2211yescharacteristic, complemented
183#1958C2211yescharacteristic, complemented
184#1957C2211yescharacteristic
185#1957C2211yescharacteristic
186#1957C2211yescharacteristic, complemented
187#1771C2211yescharacteristic, complemented
188#1771C2211yescharacteristic, complemented
189#1771C2211yescharacteristic, complemented
190#1771C2211yescharacteristic, complemented
191#1770C2211yescharacteristic, complemented
192#1770C2211yescharacteristic, complemented
193C8×C4⋊C4C2211yescharacteristic, complemented
194C8×C4⋊C4C2211yescharacteristic, complemented
195#1750C2211yescharacteristic
196#1750C2211yescharacteristic
197#1749C2211yescharacteristic
198C4×C22⋊C8C2211yescharacteristic
199C22×#41C2311yescharacteristic
200C23×D4—22no—
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C22×Q16C2311yescharacteristic
204C22×Q16C2311yescharacteristic
205C22×Q16C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227#542—24no—
228#542—24no—
229#541—24no—
230#541—24no—
231#535—24no—
232#535—24no—
233#535—42no—
234#535—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×#127—22no—
240C2×#127—42no—
241C2×#127—42no—
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#126—21no—
251C2×#126—21no—
252C2×#126—21no—
253C2×#125—21no—
254C2×#125—21no—
255C2×#125C2311yescharacteristic
256C2×#124—21no—
257C2×#124C2311yescharacteristic
258C2×#124C2311yescharacteristic
259C2×#124C2311yescharacteristic
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#123—21no—
265C2×C22⋊Q8—21no—
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×#121—22no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—22no—
273C2×#121—22no—
274C2×#121—22no—
275C2×#121—22no—
276C2×#121C2311yescharacteristic
277C2×#120—22no—
278C2×#120—21no—
279C2×#120—21no—
280#518—24no—
281#518—24no—
282C2×C4×Q8C2311yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C22×C22⋊C4—21no—
296C22×C22⋊C4—21no—
297C22×C42C2311yescharacteristic
298#497—24no—
299#497—42no—
300#496—24no—
301#496—42no—
302#496—42no—
303#496—42no—
304#495—24no—
305#495—42no—
306#492—24no—
307#492—42no—
308#492—42no—
309#492—42no—
310#490—24no—
311#489—24no—
312#488—24no—
313#486—24no—
314#485—24no—
315#485—24no—
316#485—24no—
317#482—24no—
318#478—24no—
319#478—24no—
320#476—24no—
321#474—24no—
322#464—24no—
323#464—24no—
324#464—24no—
325#463—24no—
326#463—24no—
327#463—24no—
328#461—24no—
329#461—24no—
330#460—24no—
331#460—24no—
332#460—24no—
333#459—24no—
334#452—24no—
335#452—24no—
336#452—24no—
337#450—24no—
338#450—24no—
339#450—24no—
340#450—24no—
341#450—24no—
342#450—24no—
343#449—24no—
344#447—24no—
345#447—24no—
346#442—24no—
347#440—24no—
348#440—24no—
349#440—24no—
350C4×SD16—24no—
351C4×SD16—24no—
352C4×SD16—24no—
353C4×D8—24no—
354#433D418yescomplemented
355#433D418yescomplemented
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#107C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416#400—22no—
417#398—22no—
418#398—22no—
419#398—22no—
420#397—22no—
421#397—22no—
422#396—22no—
423#396—22no—
424#396—22no—
425#396—22no—
426#395—22no—
427#394—22no—
428#394—22no—
429#394—22no—
430#394—22no—
431#394—22no—
432#392—22no—
433#392—22no—
434#392—22no—
435#392—22no—
436#391—22no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#390—22no—
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#389—22no—
455#389—22no—
456#389—22no—
457#389D412yes—
458#389D412yes—
459#388—22no—
460#388—22no—
461#388—22no—
462#387—22no—
463#386—22no—
464#386—22no—
465#386—22no—
466#386—22no—
467#386—22no—
468#386—22no—
469#385—22no—
470#385D412yes—
471#385D412yes—
472#384C2311yescharacteristic
473#384C2311yescharacteristic
474#382C2311yescharacteristic
475#382C2311yescharacteristic
476#380—22no—
477#380—22no—
478#379—22no—
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4—22no—
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492C25—21no—
493C25—21no—
494C2×#41—22no—
495C2×#41—22no—
496C2×#41—41no—
497C2×#41—41no—
498C2×#41—41no—
499C2×#41—41no—
500C22×Q8—21no—
501C22×Q8C2411yescharacteristic
502C22×Q8C2411yescharacteristic
503C22×Q8C2411yescharacteristic
504C22×Q8C2411yescharacteristic
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—21no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—48no—
532C22×D4—84no—
533C22×D4—84no—
534C22×D4C2411yescharacteristic
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4C2×D412yes—
547C23×C4C2411yescharacteristic
548C2×Q16—22no—
549C2×Q16—22no—
550C2×Q16—22no—
551C2×Q16—41no—
552C2×Q16—41no—
553C2×Q16—41no—
554C2×Q16—41no—
555C2×Q16—41no—
556C2×Q16—41no—
557C2×SD16—22no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—22no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×D8—22no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C4⋊Q8—22no—
629C4⋊Q8—22no—
630C4⋊Q8—22no—
631C4⋊Q8—22no—
632C4⋊Q8—41no—
633C4⋊Q8—41no—
634C4⋊Q8—41no—
635C4⋊Q8—41no—
636#127—22no—
637#127—22no—
638#127—22no—
639#127—22no—
640#127—22no—
641#127—22no—
642#127—22no—
643#127—22no—
644#127—22no—
645#127—22no—
646#127—41no—
647#127—41no—
648#127—41no—
649#127—41no—
650#127—41no—
651#127—41no—
652#127—48no—
653#126—44no—
654#126—44no—
655#126—44no—
656#125—22no—
657#125—22no—
658#125—44no—
659#125—44no—
660#124—22no—
661#124—22no—
662#124—22no—
663#124—22no—
664#124—22no—
665#124—22no—
666#124—22no—
667#124—22no—
668#124—41no—
669#124—41no—
670#124—41no—
671#124—41no—
672#124—41no—
673#124—41no—
674#124—44no—
675#123—44no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—22no—
682C22⋊Q8—44no—
683#121—22no—
684#121—22no—
685#121—48no—
686#121—44no—
687#121—44no—
688#121—84no—
689#121—84no—
690#121—84no—
691#121—84no—
692#120—48no—
693#120—44no—
694#120—44no—
695C4×Q8—22no—
696C4×Q8—22no—
697C4×Q8—22no—
698C4×Q8—22no—
699C4×Q8—22no—
700C4×Q8—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—44no—
712C4×D4—44no—
713#117—22no—
714#117—22no—
715#117—41no—
716#117—41no—
717#117C2×D414yes—
718#117C2×D414yes—
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—22no—
731C2×C4⋊C4—22no—
732C2×C4⋊C4—22no—
733C2×C4⋊C4—22no—
734C2×C4⋊C4C2×D412yes—
735C2×C4⋊C4C2×D412yes—
736C2×C4⋊C4C2×D412yes—
737C2×C4⋊C4C2×D412yes—
738C2×C4⋊C4C2×D412yes—
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×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—44no—
776C2×C22⋊C4—44no—
777C2×C22⋊C4C2×D412yes—
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C42—21no—
781C2×C42—21no—
782C2×C42—21no—
783C2×C42—21no—
784C2×C42—41no—
785C2×C42—41no—
786C2×C42C2×D412yes—
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793#107—22no—
794#107—22no—
795#107—22no—
796#107—22no—
797#106—22no—
798#106—22no—
799#106—22no—
800#106—22no—
801C4⋊C8C2×D414yescomplemented
802C4⋊C8C2×D414yescomplemented
803C4⋊C8C2×D414yescomplemented
804C4⋊C8C2×D414yescomplemented
805#103—22no—
806#103—22no—
807#103—22no—
808#103—22no—
809#103—22no—
810#103—22no—
811#103—22no—
812#103—22no—
813#103—22no—
814#103—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—22no—
834#102—22no—
835#102—22no—
836#102—22no—
837C22⋊C8C2×D414yes—
838C22⋊C8C2×D414yes—
839C22⋊C8C2×D414yes—
840C22⋊C8C2×D414yes—
841#97—41no—
842#97—41no—
843#97—41no—
844#97—41no—
845#97C2×D414yescomplemented
846#97C2×D414yescomplemented
847C4×C8—41no—
848C4×C8—41no—
849C4×C8—41no—
850C4×C8—41no—
851C4×C8C2×D414yescomplemented
852C4×C8C2×D414yescomplemented
853#95—22no—
854#95—22no—
855#95—22no—
856#95—22no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—22no—
862#95—22no—
863#95C2×D412yes—
864#95C2×D412yes—
865#95C2×D412yes—
866#95C2×D412yes—
867C24—24no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—42no—
875C24—42no—
876C24—42no—
877C24—42no—
878C24—42no—
879C24—82no—
880C24—82no—
881C24—82no—
882C24—82no—
883C24C22×D411yescharacteristic
884#41—82no—
885#41—82no—
886#41—82no—
887#41—82no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—42no—
913C2×Q8—82no—
914C2×D4—24no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—44no—
950C2×D4—44no—
951C2×D4—44no—
952C2×D4—44no—
953C2×D4—42no—
954C2×D4—44no—
955C2×D4—44no—
956C2×D4—44no—
957C2×D4—44no—
958C2×D4—44no—
959C2×D4—44no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—44no—
963C2×D4—44no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—82no—
987C2×D4—82no—
988C2×D4—82no—
989C2×D4—82no—
990C2×D4—82no—
991C2×D4—82no—
992C2×D4—832no—
993C2×D4—82no—
994C2×D4H(5,𝔽2)12yes—
995C2×D4H(5,𝔽2)12yes—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—24no—
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—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—82no—
1022C22×C4—82no—
1023C22×C4—82no—
1024C22×C4—82no—
1025C22×C4—82no—
1026C22×C4C22×D412yes—
1027C22×C4C22×D412yes—
1028C22×C4C22×D412yes—
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D412yes—
1035C22×C4C22×D412yes—
1036C22×C4C22×D412yes—
1037C22×C4C2511yescharacteristic
1038Q16—82no—
1039Q16—82no—
1040Q16—82no—
1041SD16—44no—
1042SD16—44no—
1043SD16—44no—
1044SD16—44no—
1045SD16—44no—
1046SD16—44no—
1047SD16—82no—
1048SD16—82no—
1049SD16—82no—
1050SD16—82no—
1051SD16—82no—
1052SD16—82no—
1053SD16—82no—
1054SD16—82no—
1055SD16—82no—
1056SD16—82no—
1057D8—44no—
1058D8—44no—
1059D8—82no—
1060D8—82no—
1061D8—82no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8C22×D412yes—
1079C2×C8C22×D412yes—
1080C2×C8C22×D412yes—
1081C2×C8C22×D412yes—
1082C2×C8C22×D412yes—
1083C2×C8C22×D412yes—
1084C2×C8C22×D412yes—
1085C2×C8C22×D412yes—
1086C4⋊C4—24no—
1087C4⋊C4—24no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—82no—
1115C4⋊C4—82no—
1116C4⋊C4—82no—
1117C4⋊C4—82no—
1118C4⋊C4#12714yes—
1119C4⋊C4#12714yes—
1120C22⋊C4—42no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—44no—
1141C22⋊C4—44no—
1142C22⋊C4—82no—
1143C22⋊C4—82no—
1144C22⋊C4—82no—
1145C22⋊C4—82no—
1146C22⋊C4—82no—
1147C22⋊C4—82no—
1148C22⋊C4—82no—
1149C22⋊C4#12714yes—
1150C22⋊C4#12714yes—
1151C42—21no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—21no—
1156C42—21no—
1157C42—21no—
1158C42—21no—
1159C42—42no—
1160C42—42no—
1161C42—42no—
1162C42—42no—
1163C42—42no—
1164C42C22×D412yes—
1165C42C22×D412yes—
1166C42C22×D412yes—
1167C42C22×D412yes—
1168C23—22no—
1169C23—21no—
1170C23—21no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—48no—
1175C23—42no—
1176C23—42no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—42no—
1182C23—42no—
1183C23—42no—
1184C23—42no—
1185C23—42no—
1186C23—42no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—42no—
1200C23—42no—
1201C23—42no—
1202C23—42no—
1203C23—84no—
1204C23—88no—
1205C23—88no—
1206C23—162no—
1207C23—162no—
1208C23—162no—
1209C23—162no—
1210C23—164no—
1211C23—164no—
1212C23C2×#12712yes—
1213C23C23×D411yescharacteristic
1214Q8—41no—
1215Q8—41no—
1216Q8—41no—
1217Q8—41no—
1218Q8—41no—
1219Q8—41no—
1220Q8—41no—
1221Q8—41no—
1222Q8—41no—
1223Q8—41no—
1224Q8—41no—
1225Q8—41no—
1226Q8—41no—
1227Q8—41no—
1228Q8—41no—
1229Q8—41no—
1230Q8—162no—
1231D4—22no—
1232D4—22no—
1233D4—22no—
1234D4—22no—
1235D4—48no—
1236D4—41no—
1237D4—41no—
1238D4—41no—
1239D4—41no—
1240D4—41no—
1241D4—41no—
1242D4—41no—
1243D4—41no—
1244D4—41no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—88no—
1257D4—88no—
1258D4—84no—
1259D4—88no—
1260D4—88no—
1261D4—84no—
1262D4—162no—
1263D4—162no—
1264D4—162no—
1265D4—162no—
1266D4—164no—
1267D4—164no—
1268D4—162no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—48no—
1291C2×C4—42no—
1292C2×C4—42no—
1293C2×C4—42no—
1294C2×C4—42no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—42no—
1314C2×C4—42no—
1315C2×C4—84no—
1316C2×C4—162no—
1317C2×C4—162no—
1318C2×C4—162no—
1319C2×C4—162no—
1320C2×C4—162no—
1321C2×C4C2×#12712yes—
1322C2×C4C2×#12712yes—
1323C2×C4C2×#12712yes—
1324C2×C4C2×#12712yes—
1325C2×C4C2×#12712yes—
1326C2×C4#57714yes—
1327C2×C4C23×D411yescharacteristic
1328C2×C4C23×D411yescharacteristic
1329C2×C4C2×H(5,𝔽2)11yescharacteristic
1330C2×C4C2×H(5,𝔽2)11yescharacteristic
1331C2×C4#58511yescharacteristic
1332C2×C4#58511yescharacteristic
1333C8—22no—
1334C8—22no—
1335C8—22no—
1336C8—22no—
1337C8—22no—
1338C8—22no—
1339C8—22no—
1340C8—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—42no—
1345C22—42no—
1346C22—44no—
1347C22—44no—
1348C22—42no—
1349C22—42no—
1350C22—82no—
1351C22—82no—
1352C22—81no—
1353C22—81no—
1354C22—81no—
1355C22—81no—
1356C22—82no—
1357C22—82no—
1358C22—82no—
1359C22—82no—
1360C22—82no—
1361C22—82no—
1362C22—82no—
1363C22—82no—
1364C22—81no—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—168no—
1377C22—168no—
1378C22C22×#12711yescharacteristic
1379C22#348411yescharacteristic
1380C22#348711yescharacteristic
1381C22C2×#57712yes—
1382C22#358512yes—
1383C4—24no—
1384C4—22no—
1385C4—22no—
1386C4—22no—
1387C4—22no—
1388C4—22no—
1389C4—42no—
1390C4—42no—
1391C4—42no—
1392C4—81no—
1393C4—81no—
1394C4—81no—
1395C4—81no—
1396C4—81no—
1397C4—81no—
1398C4—81no—
1399C4—81no—
1400C4—81no—
1401C4—81no—
1402C4#348811yescharacteristic
1403C4#348811yescharacteristic
1404C4#348811yescharacteristic
1405C4#348811yescharacteristic
1406C2—42no—
1407C2—82no—
1408C2—82no—
1409C2—161no—
1410C2—161no—
1411C2—161no—
1412C2—161no—
1413C2#3556511yescharacteristic
1414C2#6064611yescharacteristic
1415C2#6065011yescharacteristic
1416C2#6161012yes—
1417C2#6192112yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2296 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3224C2semidirect
2. C2×#3222C2semidirect
3. C2×#3123C2semidirect
4. C2×#3118C2semidirect
5. #37389C2semidirect
6. #35528C2semidirect
7. #28480C2semidirect
8. #28480C2semidirect
9. #28479C2semidirect
10. #28478C2semidirect
11. #28472C2semidirect
12. #28468C2semidirect
13. #28464C2semidirect
14. #28461C2semidirect
15. #28436C2semidirect
16. #28435C2semidirect
17. #28428C2semidirect
18. #28421C2semidirect
19. #28420C2semidirect
20. #28412C2semidirect
21. #28405C2semidirect
22. #28404C2semidirect
23. #28321C2semidirect
24. #28320C2semidirect
25. #28317C2semidirect
26. #28309C2semidirect
27. #25736C2semidirect
28. #25732C2semidirect
29. #25725C2semidirect
30. #25717C2semidirect
31. #20541C2semidirect
40. C2×#497C22semidirect
41. C2×#497C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
46. C2×#495C22semidirect
47. C2×#495C22semidirect
50. C2×#492C22semidirect
51. C2×#492C22semidirect
52. C2×#490C22semidirect
53. C2×#489C22semidirect
54. C2×#488C22semidirect
55. C2×#486C22semidirect
62. C2×#478C22semidirect
63. C2×#478C22semidirect
64. C2×#476C22semidirect
65. C2×#474C22semidirect
66. C2×#464C22semidirect
67. C2×#464C22semidirect
68. C2×#464C22semidirect
69. C2×#460C22semidirect
70. C2×#460C22semidirect
71. C2×#460C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
74. C2×#463C22semidirect
75. C2×#461C22semidirect
76. C2×#461C22semidirect
77. C2×#459C22semidirect
90. C2×#442C22semidirect
91. C2×#440C22semidirect
92. C2×#440C22semidirect
93. C2×#440C22semidirect
94. C2×C4×SD16C22semidirect
95. C2×C4×SD16C22semidirect
96. C2×C4×SD16C22semidirect
97. C2×C4×D8C22semidirect
108. #2568C22semidirect
109. #2567C22semidirect
110. #2566C22semidirect
111. #2565C22semidirect
112. #2547C22semidirect
113. #2546C22semidirect
114. #2545C22semidirect
115. #2545C22semidirect
131. #2097C22semidirect
132. #2095C22semidirect
133. #2094C22semidirect
134. #2094C22semidirect
135. #2093C22semidirect
136. #2092C22semidirect
137. #2092C22semidirect
138. #2092C22semidirect
139. #2016C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
150. #2014C22semidirect
151. #2014C22semidirect
152. #2014C22semidirect
153. #2013C22semidirect
154. #2013C22semidirect
155. #2013C22semidirect
156. #2012C22semidirect
157. #2012C22semidirect
158. #2012C22semidirect
159. #2012C22semidirect
162. #2011C22semidirect
163. #1973C22semidirect
164. #1973C22semidirect
165. #1973C22semidirect
166. #1973C22semidirect
167. #1973C22semidirect
168. #1972C22semidirect
169. #1971C22semidirect
170. #1971C22semidirect
171. #1970C22semidirect
172. #1970C22semidirect
173. #1969C22semidirect
174. #1968C22semidirect
175. #1968C22semidirect
176. #1968C22semidirect
177. #1968C22semidirect
178. #1968C22semidirect
181. #1961C22semidirect
182. #1959C22semidirect
183. #1958C22semidirect
186. #1957C22semidirect
187. #1771C22semidirect
188. #1771C22semidirect
189. #1771C22semidirect
190. #1771C22semidirect
191. #1770C22semidirect
192. #1770C22semidirect
193. C8×C4⋊C4C22semidirect
194. C8×C4⋊C4C22semidirect
354. #433D4semidirect
355. #433D4semidirect
801. C4⋊C8C2×D4semidirect
802. C4⋊C8C2×D4semidirect
803. C4⋊C8C2×D4semidirect
804. C4⋊C8C2×D4semidirect
845. #97C2×D4semidirect
846. #97C2×D4semidirect
851. C4×C8C2×D4semidirect
852. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32242
C2×#32222
C2×#31232
C2×#31182
#373892
#355282
#284802
#284792
#284782
#284722
#284682
#284642
#284612
#284362
#284352
#284282
#284212
#284202
#284122
#284052
#284042
#283212
#283202
#283172
#283092
#257362
#257322
#257252
#257172
#205412