Finite Group Databasebeta

← #7149289

Subgroups — #7149289

Order 512.

2004 conjugacy classes of subgroups.

The subgroup lattice has 1523 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3401C211yesmaximal, characteristic, complemented
2C2×#3224C211yesmaximal, characteristic, complemented
3#45097C211yesmaximal, characteristic, complemented
4#42799C211yesmaximal, characteristic, complemented
5#30899C211yesmaximal, characteristic, complemented
6#30877C211yesmaximal, characteristic, complemented
7#30761C211yesmaximal, characteristic, complemented
8#30747C211yesmaximal, characteristic, complemented
9#30468C211yesmaximal, characteristic, complemented
10#30466C211yesmaximal, characteristic, complemented
11#30464C211yesmaximal, characteristic, complemented
12#30451C211yesmaximal, characteristic, complemented
13#28476C211yesmaximal, characteristic, complemented
14#28474C211yesmaximal, characteristic, complemented
15#28468C211yesmaximal, characteristic, complemented
16#26834C211yesmaximal, characteristic, complemented
17#26824C211yesmaximal, characteristic, complemented
18#25736C211yesmaximal, characteristic, complemented
19#25636C211yesmaximal, characteristic, complemented
20#25376C211yesmaximal, characteristic, complemented
21#25305C211yesmaximal, characteristic, complemented
22#25174C211yesmaximal, characteristic, complemented
23#25166C211yesmaximal, characteristic, complemented
24#25164C211yesmaximal, characteristic, complemented
25#25152C211yesmaximal, characteristic, complemented
26#24741C211yesmaximal, characteristic, complemented
27#24665C211yesmaximal, characteristic, complemented
28#24186C211yesmaximal, characteristic, complemented
29#23581C211yesmaximal, characteristic, complemented
30#23058C211yesmaximal, characteristic, complemented
31#23003C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic
33C2×#556C2211yescharacteristic, complemented
34C2×#542C2211yescharacteristic
35C2×#535C2211yescharacteristic
36#3401—28no—
37#3224—28no—
38C2×#497C2211yescharacteristic
39C2×#497C2211yescharacteristic, complemented
40C2×#496C2211yescharacteristic
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic
43C2×#495C2211yescharacteristic
44C2×#495C2211yescharacteristic
45C2×#495C2211yescharacteristic, complemented
46C2×#489C2211yescharacteristic
47C2×#486C2211yescharacteristic
48C2×#464C2211yescharacteristic
49C2×#464C2211yescharacteristic
50C2×#464C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#462C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#463C2211yescharacteristic
58C2×#461C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic
60C2×#459C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic
62C2×#452C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#446C2211yescharacteristic, complemented
70C2×#442C2211yescharacteristic, complemented
71C2×#441C2211yescharacteristic, complemented
72C2×#440C2211yescharacteristic
73C2×#440C2211yescharacteristic, complemented
74C2×C4×SD16C2211yescharacteristic
75C2×C4×SD16C2211yescharacteristic, complemented
76C2×#433C2211yescharacteristic
77#2823—21no—
78#2705—21no—
79#2702—21no—
80#2701—21no—
81#2697—21no—
82#2686—21no—
83#2684—21no—
84#2683—21no—
85#2681—21no—
86#2662—21no—
87#2620—21no—
88#2620C2211yescharacteristic
89#2601—21no—
90#2592C2211yescharacteristic
91#2548C2211yescharacteristic, complemented
92#2547C2211yescharacteristic
93#2545C2211yescharacteristic
94#2545C2211yescharacteristic, complemented
95#2544C2211yescharacteristic
96#2544C2211yescharacteristic, complemented
97#2538C2211yescharacteristic, complemented
98#2534—21no—
99#2452C2211yescharacteristic, complemented
100#2451C2211yescharacteristic, complemented
101#2447C2211yescharacteristic
102#2445C2211yescharacteristic
103#2444—21no—
104#2435C2211yescharacteristic
105#2432C2211yescharacteristic
106#2429C2211yescharacteristic
107#2428C2211yescharacteristic
108#2426C2211yescharacteristic
109#2426C2211yescharacteristic
110#2425—21no—
111#2418—21no—
112#2396C2211yescharacteristic
113#2366C2211yescharacteristic
114Q8×C4⋊C4C2211yescharacteristic, complemented
115#2339C2211yescharacteristic
116D4×C22⋊C4C2211yescharacteristic
117#2323C2211yescharacteristic
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2066C2211yescharacteristic, complemented
121#2065C2211yescharacteristic
122#2058C2211yescharacteristic, complemented
123#2055C2211yescharacteristic
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic
126#2054C2211yescharacteristic, complemented
127#2043C2211yescharacteristic, complemented
128#2042C2211yescharacteristic
129#2042C2211yescharacteristic
130#2042C2211yescharacteristic, complemented
131#2042C2211yescharacteristic, complemented
132#2036C2211yescharacteristic
133#2035C2211yescharacteristic
134#2034C2211yescharacteristic
135#2033C2211yescharacteristic
136#2024C2211yescharacteristic, complemented
137#2016C2211yescharacteristic, complemented
138#2015C2211yescharacteristic
139#2015C2211yescharacteristic
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2014C2211yescharacteristic
143#2014C2211yescharacteristic, complemented
144#2013C2211yescharacteristic
145#2013C2211yescharacteristic, complemented
146#2012C2211yescharacteristic
147#2012C2211yescharacteristic
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2011C2211yescharacteristic
153#2011C2211yescharacteristic
154#2001C2211yescharacteristic
155#2001C2211yescharacteristic
156#2000C2211yescharacteristic
157#2000C2211yescharacteristic
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1972C2211yescharacteristic
163#1971C2211yescharacteristic, complemented
164#1970C2211yescharacteristic
165#1969C2211yescharacteristic, complemented
166#1959C2211yescharacteristic
167#1957C2211yescharacteristic
168#1947C2211yescharacteristic, complemented
169#1940C2211yescharacteristic, complemented
170#1936C2211yescharacteristic
171#1936C2211yescharacteristic
172#1936C2211yescharacteristic, complemented
173#1935C2211yescharacteristic, complemented
174#1934C2211yescharacteristic, complemented
175#1933C2211yescharacteristic, complemented
176#1924C2211yescharacteristic
177#1924C2211yescharacteristic
178#1924C2211yescharacteristic
179#1923C2211yescharacteristic
180#1917C2211yescharacteristic, complemented
181#1916C2211yescharacteristic, complemented
182#1880C2211yescharacteristic
183#1880C2211yescharacteristic
184#1880C2211yescharacteristic
185#1880C2211yescharacteristic, complemented
186#1879C2211yescharacteristic
187#1879C2211yescharacteristic
188#1879C2211yescharacteristic
189#1879C2211yescharacteristic, complemented
190#1878C2211yescharacteristic, complemented
191#1878C2211yescharacteristic, complemented
192#1877C2211yescharacteristic, complemented
193#1877C2211yescharacteristic, complemented
194#1864C2211yescharacteristic
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic
197#1862C2211yescharacteristic, complemented
198#1803C2211yescharacteristic, complemented
199#1771C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201#1770C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227#559—24no—
228#559—42no—
229#556—24no—
230#556—42no—
231#542—24no—
232#542—42no—
233#535—24no—
234#535—42no—
235C2×C4⋊Q8C2311yescharacteristic
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#126—21no—
242C2×#126—21no—
243C2×#126—21no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#123—21no—
256C2×#123—21no—
257C2×#123—21no—
258C2×#123—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#120—21no—
272C2×#120—21no—
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×Q8C2311yescharacteristic
277C2×C4×Q8C2311yescharacteristic
278C2×C4×Q8C2311yescharacteristic
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×#117—21no—
288C2×#117C2311yescharacteristic
289C22×C22⋊C4—21no—
290#497—24no—
291#497—42no—
292#496—24no—
293#496—24no—
294#496—42no—
295#495—24no—
296#495—24no—
297#495—42no—
298#489—24no—
299#486—24no—
300#464—24no—
301#464—24no—
302#464—24no—
303#464—42no—
304#463—24no—
305#463—24no—
306#463—24no—
307#463—42no—
308#462—42no—
309#461—24no—
310#460D418yescomplemented
311#459—24no—
312#459—42no—
313#452—24no—
314#452—42no—
315#450—24no—
316#450—42no—
317#449—24no—
318#449—42no—
319#447—24no—
320#447—42no—
321#446—24no—
322#442—24no—
323#441—24no—
324#440—42no—
325#440—42no—
326C4×SD16—24no—
327C4×SD16—42no—
328#433—24no—
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×#97C2311yescharacteristic
378C2×#97C2311yescharacteristic
379C2×#97C2311yescharacteristic
380C2×C4×C8C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383#400D411yescharacteristic
384#399D411yescharacteristic
385#398—21no—
386#398—21no—
387#398D411yescharacteristic
388#398D411yescharacteristic
389#397—21no—
390#397—21no—
391#397—21no—
392#397—21no—
393#397—21no—
394#396—21no—
395#396—21no—
396#396—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396D411yescharacteristic
407#396D411yescharacteristic
408#395—21no—
409#395D411yescharacteristic
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#393—21no—
428#393—21no—
429#393D411yescharacteristic
430#392—21no—
431#391—21no—
432#391C2311yescharacteristic
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#391C2311yescharacteristic
437#391C2311yescharacteristic
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#389—21no—
453#389—21no—
454#389—21no—
455#389—21no—
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#387—21no—
473#387—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384—21no—
491#384C2311yescharacteristic
492#381—21no—
493#381—21no—
494#380—21no—
495#380—21no—
496#380—21no—
497#380C2311yescharacteristic
498#379—21no—
499#379—21no—
500#379—21no—
501C4×C4⋊C4—21no—
502C4×C4⋊C4C2311yescharacteristic
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508C2×#95—21no—
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C22×Q8—21no—
535C22×Q8C2×D411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×Q8C2411yescharacteristic
539C22×Q8C2411yescharacteristic
540C22×D4—22no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4C2411yescharacteristic
569C2×Q16—22no—
570C2×Q16—22no—
571C2×Q16—22no—
572C2×Q16—22no—
573C2×Q16—22no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
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×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16C2×D414yes—
610C2×SD16C2×D414yes—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—22no—
617C2×D8—22no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C4⋊Q8—22no—
638C4⋊Q8—22no—
639C4⋊Q8—41no—
640C4⋊Q8—41no—
641C4⋊Q8—41no—
642C4⋊Q8—41no—
643#127—22no—
644#127—22no—
645#127—41no—
646#127—41no—
647#127—41no—
648#127C2×D414yes—
649#126—44no—
650#126—44no—
651#126—44no—
652#124—22no—
653#124—22no—
654#124—22no—
655#124—22no—
656#124—22no—
657#124—22no—
658#124—22no—
659#124—22no—
660#124—22no—
661#124—44no—
662#124—41no—
663#124—41no—
664#124—41no—
665#124—41no—
666#124—41no—
667#124—41no—
668#124—41no—
669#124—41no—
670#124—41no—
671#124—44no—
672#123—44no—
673#123—44no—
674#123—44no—
675#123—82no—
676C22⋊Q8—22no—
677C22⋊Q8—44no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681C22⋊Q8—44no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—82no—
685C22⋊Q8—82no—
686#121—22no—
687#121—41no—
688#121—44no—
689#121—44no—
690#121—41no—
691#121—41no—
692#121—82no—
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×Q8—41no—
702C4×Q8—41no—
703C4×Q8—41no—
704C4×Q8—41no—
705C4×Q8—41no—
706C4×Q8C2×D414yes—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—41no—
716C4×D4—41no—
717C4×D4—41no—
718C4×D4—41no—
719C4×D4—44no—
720C4×D4—82no—
721#117—22no—
722#117—22no—
723#117—44no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2×D411yescharacteristic
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2×D411yescharacteristic
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—82no—
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C42—21no—
818C2×C42—21no—
819C2×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826C2×C42C2411yescharacteristic
827C2×C42C2411yescharacteristic
828C2×C42C2411yescharacteristic
829#107—41no—
830#107—41no—
831#106—22no—
832#106—41no—
833C4⋊C8—22no—
834C4⋊C8—22no—
835C4⋊C8—22no—
836C4⋊C8—22no—
837C4⋊C8—22no—
838C4⋊C8C2×D414yes—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—22no—
845#103—22no—
846#103—41no—
847#103—41no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
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—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102C2×D414yes—
870#102C2×D414yes—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875#97—22no—
876#97—22no—
877#97—22no—
878#97—22no—
879#97—22no—
880C4×C8—22no—
881C4×C8—22no—
882C4×C8—22no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904#95C2×D411yescharacteristic
905#95C2×D411yescharacteristic
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—42no—
918C24—42no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24C22×D411yescharacteristic
925#41—82no—
926#41—82no—
927#41—82no—
928#41—82no—
929C2×Q8—22no—
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—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—41no—
954C2×Q8—41no—
955C2×Q8—42no—
956C2×Q8—81no—
957C2×Q8—81no—
958C2×Q8C22×D412yes—
959C2×D4—24no—
960C2×D4—24no—
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—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—82no—
1014C2×D4—82no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4C22×D412yes—
1022C2×D4C22×D412yes—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C2511yescharacteristic
1075Q16—44no—
1076Q16—82no—
1077Q16—82no—
1078Q16—82no—
1079SD16—44no—
1080SD16—44no—
1081SD16—44no—
1082SD16—44no—
1083SD16—82no—
1084SD16—82no—
1085SD16—82no—
1086SD16—82no—
1087SD16—82no—
1088SD16—82no—
1089D8—44no—
1090D8—82no—
1091D8—82no—
1092D8—82no—
1093D8—82no—
1094D8—82no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8C22×D412yes—
1116C2×C8C22×D412yes—
1117C2×C8H(5,𝔽2)12yes—
1118C2×C8H(5,𝔽2)12yes—
1119C4⋊C4—24no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4C22×D412yes—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C42—24no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—42no—
1230C42—42no—
1231C42—81no—
1232C42—81no—
1233C42—81no—
1234C42C22×D412yes—
1235C42H(5,𝔽2)12yes—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—22no—
1242C23—22no—
1243C23—21no—
1244C23—21no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—84no—
1279C23—84no—
1280C23—162no—
1281C23—162no—
1282C23—162no—
1283C23—162no—
1284C23—162no—
1285C23C23×D411yescharacteristic
1286Q8—22no—
1287Q8—22no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—41no—
1293Q8—41no—
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—82no—
1303Q8—162no—
1304D4—22no—
1305D4—22no—
1306D4—22no—
1307D4—22no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—84no—
1325D4—84no—
1326D4—84no—
1327D4—84no—
1328D4—162no—
1329D4—162no—
1330D4—162no—
1331D4—162no—
1332D4—162no—
1333D4—162no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—22no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—162no—
1411C2×C4—162no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4D4212yes—
1416C2×C4D4212yes—
1417C2×C4C23×D411yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4#58511yescharacteristic
1422C2×C4#58511yescharacteristic
1423C8—22no—
1424C8—22no—
1425C8—22no—
1426C8—22no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C22—41no—
1432C22—41no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—41no—
1438C22—42no—
1439C22—42no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—168no—
1474C22C2×D4211yescharacteristic
1475C22#348711yescharacteristic
1476C22#349811yescharacteristic
1477C22#358411yescharacteristic
1478C22#358511yescharacteristic
1479C22#358511yescharacteristic
1480C22#358611yescharacteristic
1481C4—22no—
1482C4—22no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—42no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—42no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4#348811yescharacteristic
1506C4#349611yescharacteristic
1507C4#354211yescharacteristic
1508C4#354611yescharacteristic
1509C2—81no—
1510C2—82no—
1511C2—82no—
1512C2—161no—
1513C2—161no—
1514C2—161no—
1515C2#4488611yescharacteristic
1516C2#6107411yescharacteristic
1517C2#6108011yescharacteristic
1518C2#6191911yescharacteristic
1519C2#6194411yescharacteristic
1520C2#6244311yescharacteristic
1521C2#6246711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2396 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3401C2semidirect
2. C2×#3224C2semidirect
3. #45097C2semidirect
4. #42799C2semidirect
5. #30899C2semidirect
6. #30877C2semidirect
7. #30761C2semidirect
8. #30747C2semidirect
9. #30468C2semidirect
10. #30466C2semidirect
11. #30464C2semidirect
12. #30451C2semidirect
13. #28476C2semidirect
14. #28474C2semidirect
15. #28468C2semidirect
16. #26834C2semidirect
17. #26824C2semidirect
18. #25736C2semidirect
19. #25636C2semidirect
20. #25376C2semidirect
21. #25305C2semidirect
22. #25174C2semidirect
23. #25166C2semidirect
24. #25164C2semidirect
25. #25152C2semidirect
26. #24741C2semidirect
27. #24665C2semidirect
28. #24186C2semidirect
29. #23581C2semidirect
30. #23058C2semidirect
31. #23003C2semidirect
33. C2×#556C22semidirect
39. C2×#497C22semidirect
45. C2×#495C22semidirect
50. C2×#464C22semidirect
51. C2×#464C22semidirect
52. C2×#462C22semidirect
58. C2×#461C22semidirect
60. C2×#459C22semidirect
69. C2×#446C22semidirect
70. C2×#442C22semidirect
71. C2×#441C22semidirect
73. C2×#440C22semidirect
75. C2×C4×SD16C22semidirect
91. #2548C22semidirect
94. #2545C22semidirect
96. #2544C22semidirect
97. #2538C22semidirect
99. #2452C22semidirect
100. #2451C22semidirect
114. Q8×C4⋊C4C22semidirect
118. #2068C22semidirect
120. #2066C22semidirect
122. #2058C22semidirect
124. #2055C22semidirect
126. #2054C22semidirect
127. #2043C22semidirect
130. #2042C22semidirect
131. #2042C22semidirect
136. #2024C22semidirect
137. #2016C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
143. #2014C22semidirect
145. #2013C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
163. #1971C22semidirect
165. #1969C22semidirect
168. #1947C22semidirect
169. #1940C22semidirect
172. #1936C22semidirect
173. #1935C22semidirect
174. #1934C22semidirect
175. #1933C22semidirect
180. #1917C22semidirect
181. #1916C22semidirect
185. #1880C22semidirect
189. #1879C22semidirect
190. #1878C22semidirect
191. #1878C22semidirect
192. #1877C22semidirect
193. #1877C22semidirect
195. #1864C22semidirect
197. #1862C22semidirect
198. #1803C22semidirect
199. #1771C22semidirect
200. #1771C22semidirect
201. #1770C22semidirect
202. #1762C22semidirect
203. C4×#103C22semidirect
310. #460D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34012
C2×#32242
#450972
#427992
#308992
#308772
#307612
#307472
#304682
#304662
#304642
#304512
#284762
#284742
#284682
#268342
#268242
#257362
#256362
#253762
#253052
#251742
#251662
#251642
#251522
#247412
#246652
#241862
#235812
#230582
#230032