Finite Group Databasebeta

← #6808295

Subgroups — #6808295

Order 512.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3253C211yesmaximal, characteristic, complemented
2C2×#3220C211yesmaximal, characteristic, complemented
3#37748C211yesmaximal, characteristic, complemented
4#35571C211yesmaximal, characteristic, complemented
5#33034C211yesmaximal, characteristic, complemented
6#30833C211yesmaximal, characteristic, complemented
7#30817C211yesmaximal, characteristic, complemented
8#30749C211yesmaximal, characteristic, complemented
9#30733C211yesmaximal, characteristic, complemented
10#30515C211yesmaximal, characteristic, complemented
11#30509C211yesmaximal, characteristic, complemented
12#30416C211yesmaximal, characteristic, complemented
13#30414C211yesmaximal, characteristic, complemented
14#29698C211yesmaximal, characteristic, complemented
15#29667C211yesmaximal, characteristic, complemented
16#28924C211yesmaximal, characteristic, complemented
17#28916C211yesmaximal, characteristic, complemented
18#28393C211yesmaximal, characteristic, complemented
19#28165C211yesmaximal, characteristic, complemented
20#27243C211yesmaximal, characteristic, complemented
21#27235C211yesmaximal, characteristic, complemented
22#25426C211yesmaximal, characteristic, complemented
23#25419C211yesmaximal, characteristic, complemented
24#25174C211yesmaximal, characteristic, complemented
25#25148C211yesmaximal, characteristic, complemented
26#24756C211yesmaximal, characteristic, complemented
27#24716C211yesmaximal, characteristic, complemented
28#24218C211yesmaximal, characteristic, complemented
29#24150C211yesmaximal, characteristic, complemented
30#22755C211yesmaximal, characteristic, complemented
31#21513C211yesmaximal, characteristic, complemented
32C2×#540C2211yescharacteristic
33C2×#535C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#532C2211yescharacteristic, complemented
36#3253—28no—
37#3220—28no—
38C2×#496C2211yescharacteristic
39C2×#493C2211yescharacteristic
40C2×#490C2211yescharacteristic
41C2×#488C2211yescharacteristic
42C2×#476C2211yescharacteristic
43C2×#476C2211yescharacteristic, complemented
44C2×#476C2211yescharacteristic, complemented
45C2×#476C2211yescharacteristic, complemented
46C2×#474C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#459C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#459C2211yescharacteristic
59C2×#459C2211yescharacteristic
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#442C2211yescharacteristic, complemented
68C2×C4×D8C2211yescharacteristic
69C2×#433C2211yescharacteristic
70C2×#423C2211yescharacteristic, complemented
71#2850C2211yescharacteristic
72#2688—21no—
73#2686—21no—
74#2684—21no—
75#2668—21no—
76#2640C2211yescharacteristic
77#2628C2211yescharacteristic
78#2602—21no—
79#2557—21no—
80#2555—21no—
81#2550C2211yescharacteristic, complemented
82#2543—21no—
83#2541C2211yescharacteristic
84#2541C2211yescharacteristic, complemented
85#2535C2211yescharacteristic
86#2491C2211yescharacteristic
87#2490C2211yescharacteristic, complemented
88#2464—21no—
89#2447C2211yescharacteristic
90#2445C2211yescharacteristic
91#2444—21no—
92#2431—21no—
93#2430—21no—
94#2430—21no—
95#2428—21no—
96#2428C2211yescharacteristic
97#2428C2211yescharacteristic
98#2428C2211yescharacteristic, complemented
99#2427C2211yescharacteristic
100#2418—21no—
101#2408C2211yescharacteristic
102#2407C2211yescharacteristic
103#2404—21no—
104#2339C2211yescharacteristic
105D4×C22⋊C4C2211yescharacteristic
106#2328C2211yescharacteristic
107#2328C2211yescharacteristic, complemented
108#2324C2211yescharacteristic
109C4×#121C2211yescharacteristic, complemented
110#2290C2211yescharacteristic
111#2275C2211yescharacteristic, complemented
112#2097C2211yescharacteristic, complemented
113#2092C2211yescharacteristic
114#2077C2211yescharacteristic
115#2077C2211yescharacteristic
116#2073C2211yescharacteristic
117#2073C2211yescharacteristic, complemented
118#2067C2211yescharacteristic
119#2066C2211yescharacteristic, complemented
120#2059C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic
124#2042C2211yescharacteristic
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2012C2211yescharacteristic
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic, complemented
152#1988C2211yescharacteristic, complemented
153#1983C2211yescharacteristic
154#1982C2211yescharacteristic
155#1973C2211yescharacteristic, complemented
156#1972C2211yescharacteristic
157#1970C2211yescharacteristic
158#1968C2211yescharacteristic, complemented
159#1949C2211yescharacteristic, complemented
160#1943C2211yescharacteristic, complemented
161#1941C2211yescharacteristic, complemented
162#1936C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic
167#1926C2211yescharacteristic
168#1926C2211yescharacteristic
169#1925C2211yescharacteristic, complemented
170#1924C2211yescharacteristic
171#1923C2211yescharacteristic
172#1917C2211yescharacteristic, complemented
173#1916C2211yescharacteristic, complemented
174#1895C2211yescharacteristic
175#1894C2211yescharacteristic, complemented
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1870C2211yescharacteristic
189#1870C2211yescharacteristic
190#1862C2211yescharacteristic
191#1862C2211yescharacteristic, complemented
192#1832C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1798C2211yescharacteristic
197#1797C2211yescharacteristic, complemented
198#1788C2211yescharacteristic
199#1786C2211yescharacteristic
200#1768C2211yescharacteristic, complemented
201#1762C2211yescharacteristic
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223#540—24no—
224#540—42no—
225#535—24no—
226#535—42no—
227#532—24no—
228#532—24no—
229#532—42no—
230#532—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#125C2311yescharacteristic
240C2×#124—21no—
241C2×#124—21no—
242C2×#124—21no—
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C22×C22⋊C4—21no—
287C22×C42C2311yescharacteristic
288#496—24no—
289#493—24no—
290#490—24no—
291#488—24no—
292#476—24no—
293#476—24no—
294#476—24no—
295#476—24no—
296#474—42no—
297#469—24no—
298#469—24no—
299#469—24no—
300#469—24no—
301#469—42no—
302#468—42no—
303#463—24no—
304#463—24no—
305#463—42no—
306#459—24no—
307#459—24no—
308#459—24no—
309#459—24no—
310#459D418yescomplemented
311#449—24no—
312#449—24no—
313#449—42no—
314#447—24no—
315#447—24no—
316#447—42no—
317#442—42no—
318C4×D8—42no—
319#433—24no—
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#106C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328#423—24no—
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×#97C2311yescharacteristic
374C2×#97C2311yescharacteristic
375C2×C4×C8C2311yescharacteristic
376C2×C4×C8C2311yescharacteristic
377#400—21no—
378#399—21no—
379#398—21no—
380#397—21no—
381#397—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#395—21no—
388#395—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#393—21no—
400#393—21no—
401#393—21no—
402#393—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#391—21no—
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#390—21no—
418#390—21no—
419#390—21no—
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#389—21no—
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388D411yescharacteristic
441#388D411yescharacteristic
442#387D411yescharacteristic
443#387D411yescharacteristic
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386D411yescharacteristic
469#386D411yescharacteristic
470#385—21no—
471#385—21no—
472#385—21no—
473#385D411yescharacteristic
474#385D411yescharacteristic
475#382C2311yescharacteristic
476#382C2311yescharacteristic
477#381—21no—
478#381—21no—
479#380—21no—
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#379—21no—
485#379—21no—
486C4×C4⋊C4C2311yescharacteristic
487C4×C4⋊C4C2311yescharacteristic
488C4×C4⋊C4C2311yescharacteristic
489C4×C4⋊C4C2311yescharacteristic
490C4×C22⋊C4—21no—
491C4×C22⋊C4—21no—
492C4×C22⋊C4—21no—
493C4×C22⋊C4—21no—
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496#376C2311yescharacteristic
497C2×#95—21no—
498C2×#95—21no—
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521C25—21no—
522C2×#41—22no—
523C2×#41—44no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—44no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—82no—
531C2×#41—82no—
532C2×#41—82no—
533C2×#41—82no—
534C22×Q8—21no—
535C22×Q8—21no—
536C22×Q8C2411yescharacteristic
537C22×D4—22no—
538C22×D4—21no—
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—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4C2×D411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4C2×D411yescharacteristic
582C23×C4C2×D411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8C2×D414yes—
620C2×D8C2×D414yes—
621C2×M16—22no—
622C2×M16—22no—
623C2×M16—41no—
624C2×M16—41no—
625C2×M16—41no—
626C2×M16—41no—
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C4⋊Q8—22no—
636C4⋊Q8—22no—
637C4⋊Q8—22no—
638C4⋊Q8—41no—
639#127—22no—
640#127—22no—
641#127—22no—
642#127—22no—
643#127—41no—
644#127—41no—
645#127—41no—
646#127—41no—
647#127—41no—
648#127—82no—
649#127C2×D414yes—
650#125—22no—
651#125—41no—
652#124—22no—
653#124—22no—
654#124—22no—
655#124—44no—
656#124—41no—
657#124—44no—
658#124—82no—
659#123—44no—
660#123—44no—
661#123—82no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—44no—
673#121—44no—
674#121—44no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—44no—
684#121—44no—
685#121—44no—
686#121—41no—
687#121—41no—
688#121—82no—
689#121—82no—
690#121—82no—
691#121—82no—
692#121—82no—
693#120—44no—
694#120—44no—
695#120—82no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—44no—
712C4×D4—44no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—41no—
716C4×D4—41no—
717C4×D4—82no—
718C4×D4C2×D414yes—
719#117—22no—
720#117—22no—
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⋊C4C2×D411yescharacteristic
731C2×C4⋊C4C2×D411yescharacteristic
732C2×C4⋊C4C2×D411yescharacteristic
733C2×C4⋊C4C2×D411yescharacteristic
734C2×C4⋊C4C2×D411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
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—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—82no—
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C42—22no—
799C2×C42—22no—
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42C2×D411yescharacteristic
804C2×C42C2×D411yescharacteristic
805C2×C42C2411yescharacteristic
806C2×C42C2411yescharacteristic
807C2×C42C2411yescharacteristic
808C2×C42C2411yescharacteristic
809C2×C42C2411yescharacteristic
810#107—22no—
811#107—41no—
812#107—41no—
813#106—22no—
814#106—22no—
815#106—22no—
816#106—22no—
817#106—22no—
818C4⋊C8—22no—
819C4⋊C8—22no—
820C4⋊C8—22no—
821C4⋊C8—22no—
822C4⋊C8—22no—
823C4⋊C8C2×D414yes—
824#103—22no—
825#103—22no—
826#103—22no—
827#103—41no—
828#103—41no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—22no—
834#102—22no—
835#102—22no—
836#102—22no—
837#102—22no—
838#102—22no—
839#102—22no—
840#102—22no—
841#102—22no—
842#102—41no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102C2×D414yes—
855#102C2×D414yes—
856C22⋊C8—22no—
857C22⋊C8—22no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862#97—22no—
863#97—41no—
864C4×C8—22no—
865C4×C8—41no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890#95C2×D411yescharacteristic
891#95C2×D411yescharacteristic
892#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894#95C2×D411yescharacteristic
895#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—42no—
904C24—42no—
905C24—81no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24C22×D411yescharacteristic
911C24C22×D411yescharacteristic
912#41—82no—
913#41—82no—
914#41—82no—
915#41—82no—
916#41—816no—
917#41—816no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—42no—
925C2×Q8—42no—
926C2×Q8—42no—
927C2×Q8—81no—
928C2×Q8—81no—
929C2×Q8—81no—
930C2×D4—24no—
931C2×D4—24no—
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—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—81no—
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—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4C22×D412yes—
1034C2×D4C22×D412yes—
1035C2×D4C22×D412yes—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—24no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—42no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—81no—
1080C22×C4—81no—
1081C22×C4—81no—
1082C22×C4—81no—
1083C22×C4—81no—
1084C22×C4—81no—
1085C22×C4—81no—
1086C22×C4—81no—
1087C22×C4—81no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4C22×D411yescharacteristic
1095C22×C4C22×D411yescharacteristic
1096C22×C4C22×D411yescharacteristic
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C2511yescharacteristic
1107SD16—82no—
1108SD16—82no—
1109SD16—82no—
1110D8—44no—
1111D8—44no—
1112D8—82no—
1113D8—82no—
1114D8—82no—
1115D8—82no—
1116D8—82no—
1117D8—82no—
1118D8—82no—
1119M16—82no—
1120M16—82no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8C22×D412yes—
1144C2×C8C22×D412yes—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—81no—
1172C4⋊C4—81no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4C22×D412yes—
1176C4⋊C4H(5,𝔽2)12yes—
1177C22⋊C4—24no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
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—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
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—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C42—22no—
1231C42—22no—
1232C42—21no—
1233C42—21no—
1234C42—21no—
1235C42—21no—
1236C42—21no—
1237C42—21no—
1238C42—21no—
1239C42—21no—
1240C42—81no—
1241C42—81no—
1242C42—81no—
1243C42C22×D412yes—
1244C42H(5,𝔽2)12yes—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
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—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—84no—
1302C23—84no—
1303C23—162no—
1304C23—162no—
1305C23—162no—
1306C23—162no—
1307C23—162no—
1308C23C23×D411yescharacteristic
1309Q8—41no—
1310Q8—41no—
1311Q8—41no—
1312Q8—41no—
1313Q8—84no—
1314Q8—84no—
1315D4—22no—
1316D4—22no—
1317D4—22no—
1318D4—22no—
1319D4—22no—
1320D4—22no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—41no—
1338D4—41no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—82no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—84no—
1347D4—84no—
1348D4—84no—
1349D4—84no—
1350D4—84no—
1351D4—162no—
1352D4—162no—
1353D4—162no—
1354D4—162no—
1355D4—162no—
1356D4—162no—
1357D4—162no—
1358D4—162no—
1359D4—162no—
1360D4—162no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
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—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—44no—
1397C2×C4—44no—
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—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—84no—
1435C2×C4—84no—
1436C2×C4—84no—
1437C2×C4—84no—
1438C2×C4—84no—
1439C2×C4—162no—
1440C2×C4—162no—
1441C2×C4—162no—
1442C2×C4—162no—
1443C2×C4—162no—
1444C2×C4D4212yes—
1445C2×C4D4212yes—
1446C2×C4#57612yes—
1447C2×C4C23×D411yescharacteristic
1448C2×C4C2×H(5,𝔽2)11yescharacteristic
1449C2×C4C2×H(5,𝔽2)11yescharacteristic
1450C2×C4#58511yescharacteristic
1451C2×C4#58511yescharacteristic
1452C2×C4#58511yescharacteristic
1453C8—22no—
1454C8—22no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—168no—
1518C22#344911yescharacteristic
1519C22C2×D4211yescharacteristic
1520C22#348811yescharacteristic
1521C22C2×#57611yescharacteristic
1522C22#358511yescharacteristic
1523C22#358511yescharacteristic
1524C22#358511yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—42no—
1532C4—41no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4—81no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4#349611yescharacteristic
1548C4#350011yescharacteristic
1549C4#354611yescharacteristic
1550C4#355111yescharacteristic
1551C2—81no—
1552C2—81no—
1553C2—82no—
1554C2—82no—
1555C2—82no—
1556C2—161no—
1557C2—161no—
1558C2—161no—
1559C2#3933411yescharacteristic
1560C2#6099011yescharacteristic
1561C2#6100311yescharacteristic
1562C2#6105811yescharacteristic
1563C2#6107211yescharacteristic
1564C2#6204011yescharacteristic
1565C2#6209311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3253C2semidirect
2. C2×#3220C2semidirect
3. #37748C2semidirect
4. #35571C2semidirect
5. #33034C2semidirect
6. #30833C2semidirect
7. #30817C2semidirect
8. #30749C2semidirect
9. #30733C2semidirect
10. #30515C2semidirect
11. #30509C2semidirect
12. #30416C2semidirect
13. #30414C2semidirect
14. #29698C2semidirect
15. #29667C2semidirect
16. #28924C2semidirect
17. #28916C2semidirect
18. #28393C2semidirect
19. #28165C2semidirect
20. #27243C2semidirect
21. #27235C2semidirect
22. #25426C2semidirect
23. #25419C2semidirect
24. #25174C2semidirect
25. #25148C2semidirect
26. #24756C2semidirect
27. #24716C2semidirect
28. #24218C2semidirect
29. #24150C2semidirect
30. #22755C2semidirect
31. #21513C2semidirect
35. C2×#532C22semidirect
43. C2×#476C22semidirect
44. C2×#476C22semidirect
45. C2×#476C22semidirect
46. C2×#474C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
60. C2×#459C22semidirect
67. C2×#442C22semidirect
70. C2×#423C22semidirect
81. #2550C22semidirect
84. #2541C22semidirect
87. #2490C22semidirect
98. #2428C22semidirect
107. #2328C22semidirect
109. C4×#121C22semidirect
111. #2275C22semidirect
112. #2097C22semidirect
117. #2073C22semidirect
119. #2066C22semidirect
120. #2059C22semidirect
121. #2059C22semidirect
122. #2055C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
151. #1999C22semidirect
152. #1988C22semidirect
155. #1973C22semidirect
158. #1968C22semidirect
159. #1949C22semidirect
160. #1943C22semidirect
161. #1941C22semidirect
162. #1936C22semidirect
163. #1934C22semidirect
164. #1927C22semidirect
165. #1927C22semidirect
169. #1925C22semidirect
172. #1917C22semidirect
173. #1916C22semidirect
175. #1894C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
191. #1862C22semidirect
192. #1832C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1804C22semidirect
197. #1797C22semidirect
200. #1768C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. #1753C22semidirect
310. #459D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32532
C2×#32202
#377482
#355712
#330342
#308332
#308172
#307492
#307332
#305152
#305092
#304162
#304142
#296982
#296672
#289242
#289162
#283932
#281652
#272432
#272352
#254262
#254192
#251742
#251482
#247562
#247162
#242182
#241502
#227552
#215132