Finite Group Databasebeta

← #6483159

Subgroups — #6483159

Order 512.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3174C211yesmaximal, characteristic, complemented
2C2×#2933C211yesmaximal, characteristic, complemented
3#37375C211yesmaximal, characteristic, complemented
4#37270C211yesmaximal, characteristic
5#32938C211yesmaximal, characteristic, complemented
6#32938C211yesmaximal, characteristic, complemented
7#32935C211yesmaximal, characteristic, complemented
8#32935C211yesmaximal, characteristic, complemented
9#29741C211yesmaximal, characteristic, complemented
10#29740C211yesmaximal, characteristic, complemented
11#29735C211yesmaximal, characteristic, complemented
12#29734C211yesmaximal, characteristic, complemented
13#28710C211yesmaximal, characteristic, complemented
14#28708C211yesmaximal, characteristic, complemented
15#28611C211yesmaximal, characteristic, complemented
16#28611C211yesmaximal, characteristic, complemented
17#28609C211yesmaximal, characteristic, complemented
18#28609C211yesmaximal, characteristic, complemented
19#28490C211yesmaximal, characteristic, complemented
20#28482C211yesmaximal, characteristic, complemented
21#28236C211yesmaximal, characteristic, complemented
22#28236C211yesmaximal, characteristic, complemented
23#28235C211yesmaximal, characteristic, complemented
24#28235C211yesmaximal, characteristic, complemented
25#28150C211yesmaximal, characteristic, complemented
26#28147C211yesmaximal, characteristic, complemented
27#28144C211yesmaximal, characteristic, complemented
28#28141C211yesmaximal, characteristic, complemented
29#21898C211yesmaximal, characteristic, complemented
30#21897C211yesmaximal, characteristic, complemented
31#20822C211yesmaximal, characteristic, complemented
32C22×#131C2211yescharacteristic
33C23×M16C2211yescharacteristic
34C2×#541C2211yescharacteristic
35C2×#540C2211yescharacteristic
36C2×#525C2211yescharacteristic
37#3174—28no—
38C2×#499C2211yescharacteristic, complemented
39C2×#492C2211yescharacteristic, complemented
40C2×#491C2211yescharacteristic, complemented
41C2×#490C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic
43C2×#468C2211yescharacteristic
44C2×#468C2211yescharacteristic
45C2×#468C2211yescharacteristic
46C2×#468C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic
49C2×#465C2211yescharacteristic
50C2×#465C2211yescharacteristic
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#440C2211yescharacteristic, complemented
55C2×#440C2211yescharacteristic, complemented
56C2×C4×SD16C2211yescharacteristic, complemented
57C2×C4×SD16C2211yescharacteristic, complemented
58#2933—28no—
59C2×#436C2211yescharacteristic
60C2×#436C2211yescharacteristic
61C2×#435C2211yescharacteristic
62C2×#435C2211yescharacteristic
63C2×#435C2211yescharacteristic
64C2×#435C2211yescharacteristic
65C2×C8×D4C2211yescharacteristic
66C2×C8×D4C2211yescharacteristic
67C2×#424C2211yescharacteristic
68C2×#408C2211yescharacteristic
69C22×C22⋊C8C2211yescharacteristic
70C2×#405C2211yescharacteristic
71#2848C2211yescharacteristic
72#2848C2211yescharacteristic
73#2847C2211yescharacteristic
74#2847C2211yescharacteristic
75#2720—21no—
76#2720—21no—
77#2718—21no—
78#2718—21no—
79#2711—21no—
80#2711—21no—
81#2703—21no—
82#2703—21no—
83#2696—21no—
84#2696—21no—
85#2685—21no—
86#2685—21no—
87#2673—21no—
88#2673—21no—
89#2669—21no—
90#2669—21no—
91#2616C2211yescharacteristic
92#2616C2211yescharacteristic
93#2615C2211yescharacteristic
94#2615C2211yescharacteristic
95#2562C2211yescharacteristic
96#2562C2211yescharacteristic
97#2562C2211yescharacteristic
98#2562C2211yescharacteristic
99#2542C2211yescharacteristic
100#2542C2211yescharacteristic
101#2541C2211yescharacteristic
102#2541C2211yescharacteristic
103#2538C2211yescharacteristic
104#2538C2211yescharacteristic
105#2537C2211yescharacteristic
106#2537C2211yescharacteristic
107#2536C2211yescharacteristic
108#2536C2211yescharacteristic
109#2535C2211yescharacteristic
110#2535C2211yescharacteristic
111#2314C2211yescharacteristic
112#2314C2211yescharacteristic
113#2077C2211yescharacteristic
114#2077C2211yescharacteristic
115#2077C2211yescharacteristic
116#2077C2211yescharacteristic
117#2077C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2036C2211yescharacteristic
122#2036C2211yescharacteristic
123#2036C2211yescharacteristic, complemented
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic
126#2035C2211yescharacteristic
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1989C2211yescharacteristic, complemented
146#1989C2211yescharacteristic, complemented
147#1989C2211yescharacteristic, complemented
148#1989C2211yescharacteristic, complemented
149#1982C2211yescharacteristic, complemented
150#1982C2211yescharacteristic, complemented
151#1981C2211yescharacteristic, complemented
152#1981C2211yescharacteristic, complemented
153#1895C2211yescharacteristic
154#1895C2211yescharacteristic
155#1895C2211yescharacteristic
156#1895C2211yescharacteristic
157#1895C2211yescharacteristic, complemented
158#1895C2211yescharacteristic, complemented
159#1894C2211yescharacteristic
160#1894C2211yescharacteristic
161#1894C2211yescharacteristic
162#1894C2211yescharacteristic
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic
168#1893C2211yescharacteristic
169#1893C2211yescharacteristic, complemented
170#1893C2211yescharacteristic, complemented
171#1892C2211yescharacteristic
172#1892C2211yescharacteristic
173#1892C2211yescharacteristic
174#1892C2211yescharacteristic
175#1892C2211yescharacteristic, complemented
176#1892C2211yescharacteristic, complemented
177#1847C2211yescharacteristic, complemented
178#1847C2211yescharacteristic, complemented
179#1835C2211yescharacteristic, complemented
180#1834C2211yescharacteristic, complemented
181#1809C2211yescharacteristic
182#1809C2211yescharacteristic
183#1809C2211yescharacteristic
184#1809C2211yescharacteristic
185#1809C2211yescharacteristic, complemented
186#1809C2211yescharacteristic, complemented
187#1808C2211yescharacteristic
188#1808C2211yescharacteristic
189#1808C2211yescharacteristic
190#1808C2211yescharacteristic, complemented
191#1808C2211yescharacteristic, complemented
192#1807C2211yescharacteristic
193#1805C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1804C2211yescharacteristic, complemented
197#1803C2211yescharacteristic, complemented
198#1803C2211yescharacteristic, complemented
199#1802C2211yescharacteristic, complemented
200#1802C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1776C2211yescharacteristic, complemented
203C4×#107C2211yescharacteristic, complemented
204C4×#106C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C2×#131—24no—
212C2×#131—42no—
213C2×#131—42no—
214C22×M16—24no—
215C22×M16—42no—
216C22×M16—42no—
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229#541—24no—
230#541—24no—
231#540—24no—
232#540—24no—
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127—21no—
235C2×#127—21no—
236C2×#127C2311yescharacteristic
237C2×#126—21no—
238C2×#126—21no—
239C2×#125—21no—
240C2×#125—21no—
241C2×#125C2311yescharacteristic
242C2×#125C2311yescharacteristic
243#525—24no—
244#525—24no—
245C2×#123—21no—
246C2×#123—21no—
247C2×#123D411yescharacteristic
248C2×#123D411yescharacteristic
249C2×C22⋊Q8D411yescharacteristic
250C2×C22⋊Q8D411yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121D411yescharacteristic
266C2×#121D411yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#120—21no—
278C2×#120—21no—
279C2×#120D411yescharacteristic
280C2×#120D411yescharacteristic
281C2×C4×Q8C2311yescharacteristic
282C2×C4×Q8C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×#117C2311yescharacteristic
290#499—24no—
291#492—24no—
292#491—24no—
293#490—24no—
294#468—24no—
295#468—24no—
296#468—42no—
297#468—42no—
298#468—42no—
299#468—42no—
300#465—24no—
301#465—24no—
302#465—42no—
303#465—42no—
304#465—42no—
305#465—42no—
306#440—24no—
307#440—24no—
308C4×SD16—24no—
309C4×SD16—24no—
310#436—24no—
311#436—24no—
312#435—24no—
313#435—24no—
314#435—24no—
315#435—24no—
316C8×D4—24no—
317C8×D4—24no—
318C2×#107C2311yescharacteristic
319C2×#107C2311yescharacteristic
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×#106C2311yescharacteristic
330#424—24no—
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359#408—24no—
360C2×C22⋊C8—24no—
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369#405D418yescomplemented
370C2×#97C2311yescharacteristic
371C2×#97C2311yescharacteristic
372C2×C4×C8C2311yescharacteristic
373C2×C4×C8C2311yescharacteristic
374#400—21no—
375#400—21no—
376#400—21no—
377#400—21no—
378#399—21no—
379#399—21no—
380#399—21no—
381#399—21no—
382#398—21no—
383#398—21no—
384#397—21no—
385#397—21no—
386#396—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#395—21no—
391#395—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#393—21no—
409#393—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#389—21no—
429#389—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#387—21no—
447#387—21no—
448#387—21no—
449#387—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#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#384—21no—
467#384—21no—
468#384C2311yescharacteristic
469#384C2311yescharacteristic
470#382C2311yescharacteristic
471#382C2311yescharacteristic
472#380—21no—
473#380—21no—
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#379—21no—
495#379—21no—
496C4×C4⋊C4C2311yescharacteristic
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524C25C2×D411yescharacteristic
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C22×Q8C2×D411yescharacteristic
532C22×Q8C2411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
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×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2×D411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2×D411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
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—
583#131—416no—
584C2×M16—22no—
585C2×M16—22no—
586C2×M16—22no—
587C2×M16—22no—
588C2×M16—22no—
589C2×M16—22no—
590C2×M16—22no—
591C2×M16—22no—
592C2×M16—22no—
593C2×M16—22no—
594C2×M16—22no—
595C2×M16—41no—
596C2×M16—41no—
597C2×M16—41no—
598C2×M16—41no—
599C2×M16—41no—
600C2×M16—41no—
601C2×M16—416no—
602C2×M16C2×D414yes—
603C22×C8—22no—
604C22×C8—22no—
605C22×C8—22no—
606C22×C8—22no—
607C22×C8—22no—
608C22×C8—22no—
609C22×C8—22no—
610C22×C8—22no—
611C22×C8—22no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8C2×D414yes—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C4⋊Q8—22no—
630C4⋊Q8—22no—
631#127—22no—
632#127—22no—
633#127—82no—
634#127—82no—
635#126—44no—
636#126—44no—
637#125—22no—
638#125—22no—
639#125—22no—
640#125—22no—
641#125—44no—
642#125—44no—
643#123—24no—
644#123—24no—
645#123—44no—
646#123—44no—
647C22⋊Q8—24no—
648C22⋊Q8—24no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—41no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669#121—24no—
670#121—24no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—44no—
676#121—44no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—82no—
694#121—82no—
695#120—24no—
696#120—24no—
697#120—82no—
698#120—82no—
699C4×Q8—22no—
700C4×Q8—22no—
701C4×Q8—22no—
702C4×Q8—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—22no—
712C4×D4—22no—
713C4×D4—22no—
714C4×D4—22no—
715#117C2×D414yes—
716#117#4114yes—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
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—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⋊C4C2×D411yescharacteristic
740C2×C4⋊C4C2×D411yescharacteristic
741C2×C4⋊C4C2×D411yescharacteristic
742C2×C4⋊C4C2×D411yescharacteristic
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
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—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⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C42—21no—
810C2×C42—21no—
811C2×C42—21no—
812C2×C42—21no—
813C2×C42—21no—
814C2×C42—21no—
815C2×C42C2411yescharacteristic
816C2×C42C2411yescharacteristic
817#107—22no—
818#107—22no—
819#107—22no—
820#107—22no—
821#107—41no—
822#107—41no—
823#106—22no—
824#106—22no—
825#106—22no—
826#106—22no—
827#106—41no—
828#106—41no—
829C4⋊C8—22no—
830C4⋊C8—22no—
831C4⋊C8—22no—
832C4⋊C8—22no—
833#103—22no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—41no—
838#103—41no—
839#103—41no—
840#103—41no—
841#103—41no—
842#103—41no—
843#103—41no—
844#103—41no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857C22⋊C8—22no—
858C22⋊C8—22no—
859C22⋊C8—22no—
860C22⋊C8—22no—
861C22⋊C8—22no—
862C22⋊C8—22no—
863C22⋊C8—22no—
864C22⋊C8—22no—
865#97C2×D414yes—
866#97C2×D414yes—
867C4×C8C2×D414yes—
868C4×C8C2×D414yes—
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#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—
897C24—22no—
898C24—22no—
899C24—21no—
900C24—21no—
901C24—41no—
902C24—41no—
903C24—41no—
904C24—41no—
905C24—41no—
906C24C22×D411yescharacteristic
907C24C22×D411yescharacteristic
908C24C22×D411yescharacteristic
909C24C22×D411yescharacteristic
910C24C22×D411yescharacteristic
911#41—44no—
912#41—44no—
913#41—44no—
914#41—44no—
915C2×Q8—22no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—41no—
929C2×Q8—41no—
930C2×D4—22no—
931C2×D4—22no—
932C2×D4—22no—
933C2×D4—22no—
934C2×D4—22no—
935C2×D4—22no—
936C2×D4—22no—
937C2×D4—22no—
938C2×D4—22no—
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—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
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—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—44no—
1051C22×C4—44no—
1052C22×C4—44no—
1053C22×C4—44no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4C22×D411yescharacteristic
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×D412yes—
1070C22×C4C2×#4112yes—
1071C22×C4C2511yescharacteristic
1072SD16—44no—
1073SD16—44no—
1074SD16—44no—
1075SD16—44no—
1076M16—28no—
1077M16—44no—
1078M16—44no—
1079M16—44no—
1080M16—44no—
1081M16—44no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—44no—
1101C2×C8—44no—
1102C2×C8—44no—
1103C2×C8—44no—
1104C2×C8—44no—
1105C2×C8—44no—
1106C2×C8C22×D412yes—
1107C2×C8C22×D412yes—
1108C2×C8C22×D412yes—
1109C2×C8C22×D412yes—
1110C2×C8H(5,𝔽2)12yes—
1111C2×C8H(5,𝔽2)12yes—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
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—21no—
1139C4⋊C4—21no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
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#12114yes—
1163C4⋊C4#12114yes—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
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—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
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#12114yes—
1215C22⋊C4#12114yes—
1216C42—42no—
1217C42—42no—
1218C42—81no—
1219C42—81no—
1220C42—81no—
1221C42—81no—
1222C42C22×D412yes—
1223C42C22×D412yes—
1224C42C2×#4112yes—
1225C42C2×#4112yes—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—44no—
1260C23—44no—
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—82no—
1276C23—82no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23C2×#12112yes—
1281C23#57712yes—
1282C23C23×D411yescharacteristic
1283Q8—44no—
1284Q8—41no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292D4—44no—
1293D4—44no—
1294D4—44no—
1295D4—44no—
1296D4—44no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—82no—
1306D4—82no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—21no—
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—44no—
1346C2×C4—44no—
1347C2×C4—44no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
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—162no—
1407C2×C4—162no—
1408C2×C4C2×#12112yes—
1409C2×C4C2×#12112yes—
1410C2×C4C2×#12112yes—
1411C2×C4C2×#12112yes—
1412C2×C4C2×#12112yes—
1413C2×C4C23×D411yescharacteristic
1414C2×C4C22×#4111yescharacteristic
1415C2×C4C2×H(5,𝔽2)11yescharacteristic
1416C2×C4C2×H(5,𝔽2)11yescharacteristic
1417C2×C4#58511yescharacteristic
1418C2×C4#58511yescharacteristic
1419C8—22no—
1420C8—22no—
1421C8—22no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C8—41no—
1426C8#53514yes—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—88no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22C22×#12111yescharacteristic
1478C22#349611yescharacteristic
1479C22#349611yescharacteristic
1480C22C2×#57711yescharacteristic
1481C22#358411yescharacteristic
1482C22#358511yescharacteristic
1483C22#358611yescharacteristic
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4C2×#53511yescharacteristic
1508C4#344911yescharacteristic
1509C4#350611yescharacteristic
1510C4#350611yescharacteristic
1511C2—42no—
1512C2—42no—
1513C2—81no—
1514C2—81no—
1515C2—81no—
1516C2—161no—
1517C2—161no—
1518C2#3516511yescharacteristic
1519C2#6045711yescharacteristic
1520C2#6046011yescharacteristic
1521C2#6230711yescharacteristic
1522C2#6230811yescharacteristic
1523C2#6231311yescharacteristic
1524C2#6231411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#37270C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3174C2semidirect
2. C2×#2933C2semidirect
3. #37375C2semidirect
5. #32938C2semidirect
6. #32938C2semidirect
7. #32935C2semidirect
8. #32935C2semidirect
9. #29741C2semidirect
10. #29740C2semidirect
11. #29735C2semidirect
12. #29734C2semidirect
13. #28710C2semidirect
14. #28708C2semidirect
15. #28611C2semidirect
16. #28611C2semidirect
17. #28609C2semidirect
18. #28609C2semidirect
19. #28490C2semidirect
20. #28482C2semidirect
21. #28236C2semidirect
22. #28236C2semidirect
23. #28235C2semidirect
24. #28235C2semidirect
25. #28150C2semidirect
26. #28147C2semidirect
27. #28144C2semidirect
28. #28141C2semidirect
29. #21898C2semidirect
30. #21897C2semidirect
31. #20822C2semidirect
38. C2×#499C22semidirect
39. C2×#492C22semidirect
40. C2×#491C22semidirect
41. C2×#490C22semidirect
46. C2×#468C22semidirect
47. C2×#468C22semidirect
52. C2×#465C22semidirect
53. C2×#465C22semidirect
54. C2×#440C22semidirect
55. C2×#440C22semidirect
56. C2×C4×SD16C22semidirect
57. C2×C4×SD16C22semidirect
117. #2077C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2077C22semidirect
123. #2036C22semidirect
124. #2036C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #1989C22semidirect
146. #1989C22semidirect
147. #1989C22semidirect
148. #1989C22semidirect
149. #1982C22semidirect
150. #1982C22semidirect
151. #1981C22semidirect
152. #1981C22semidirect
157. #1895C22semidirect
158. #1895C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
169. #1893C22semidirect
170. #1893C22semidirect
175. #1892C22semidirect
176. #1892C22semidirect
177. #1847C22semidirect
178. #1847C22semidirect
179. #1835C22semidirect
180. #1834C22semidirect
185. #1809C22semidirect
186. #1809C22semidirect
190. #1808C22semidirect
191. #1808C22semidirect
193. #1805C22semidirect
194. #1805C22semidirect
195. #1804C22semidirect
196. #1804C22semidirect
197. #1803C22semidirect
198. #1803C22semidirect
199. #1802C22semidirect
200. #1802C22semidirect
201. #1776C22semidirect
202. #1776C22semidirect
203. C4×#107C22semidirect
204. C4×#106C22semidirect
369. #405D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31742
C2×#29332
#373752
#372702
#329382
#329352
#297412
#297402
#297352
#297342
#287102
#287082
#286112
#286092
#284902
#284822
#282362
#282352
#281502
#281472
#281442
#281412
#218982
#218972
#208222