Finite Group Databasebeta

← #6814709

Subgroups — #6814709

Order 512.

1982 conjugacy classes of subgroups.

The subgroup lattice has 1515 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3256C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3#37786C211yesmaximal, characteristic, complemented
4#37785C211yesmaximal, characteristic, complemented
5#33187C211yesmaximal, characteristic, complemented
6#31124C211yesmaximal, characteristic, complemented
7#31121C211yesmaximal, characteristic, complemented
8#31101C211yesmaximal, characteristic, complemented
9#31094C211yesmaximal, characteristic, complemented
10#30996C211yesmaximal, characteristic, complemented
11#30985C211yesmaximal, characteristic, complemented
12#30475C211yesmaximal, characteristic, complemented
13#30468C211yesmaximal, characteristic, complemented
14#29782C211yesmaximal, characteristic, complemented
15#29747C211yesmaximal, characteristic, complemented
16#28589C211yesmaximal, characteristic, complemented
17#28584C211yesmaximal, characteristic, complemented
18#27236C211yesmaximal, characteristic, complemented
19#27229C211yesmaximal, characteristic, complemented
20#26936C211yesmaximal, characteristic, complemented
21#26927C211yesmaximal, characteristic, complemented
22#26811C211yesmaximal, characteristic, complemented
23#26802C211yesmaximal, characteristic, complemented
24#25500C211yesmaximal, characteristic, complemented
25#25500C211yesmaximal, characteristic, complemented
26#25167C211yesmaximal, characteristic, complemented
27#25164C211yesmaximal, characteristic, complemented
28#24395C211yesmaximal, characteristic, complemented
29#24390C211yesmaximal, characteristic, complemented
30#21543C211yesmaximal, characteristic, complemented
31#21051C211yesmaximal, characteristic, complemented
32C2×#537C2211yescharacteristic
33C2×#535C2211yescharacteristic
34C2×#529C2211yescharacteristic
35C2×#529C2211yescharacteristic, complemented
36#3256—28no—
37#3198—28no—
38C2×#496C2211yescharacteristic
39C2×#481C2211yescharacteristic
40C2×#485C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#480C2211yescharacteristic
43C2×#479C2211yescharacteristic, complemented
44C2×#479C2211yescharacteristic, complemented
45C2×#478C2211yescharacteristic
46C2×#478C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic
57C2×#464C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic
59C2×#463C2211yescharacteristic
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#440C2211yescharacteristic
67C2×#423C2211yescharacteristic, complemented
68C2×#408C2211yescharacteristic
69C2×#408C2211yescharacteristic
70C2×#405C2211yescharacteristic, complemented
71#2854C2211yescharacteristic
72#2854C2211yescharacteristic, complemented
73#2715—21no—
74#2714—21no—
75#2709—21no—
76#2703—21no—
77#2703—21no—
78#2702—21no—
79#2697—21no—
80#2685—21no—
81#2620C2211yescharacteristic
82#2619C2211yescharacteristic, complemented
83#2616C2211yescharacteristic
84#2615C2211yescharacteristic
85#2490C2211yescharacteristic
86#2490C2211yescharacteristic
87#2477—21no—
88#2474—21no—
89#2464—21no—
90#2456—21no—
91#2445—21no—
92#2442C2211yescharacteristic, complemented
93#2441C2211yescharacteristic
94#2435C2211yescharacteristic
95#2431C2211yescharacteristic, complemented
96#2428C2211yescharacteristic
97#2427C2211yescharacteristic
98#2426C2211yescharacteristic
99#2426C2211yescharacteristic
100#2422C2211yescharacteristic
101#2421C2211yescharacteristic
102#2418—21no—
103#2414—21no—
104#2411—21no—
105#2362C2211yescharacteristic
106#2361C2211yescharacteristic, complemented
107#2341C2211yescharacteristic, complemented
108D4×C22⋊C4C2211yescharacteristic
109#2324C2211yescharacteristic
110#2323C2211yescharacteristic, complemented
111#2297C2211yescharacteristic
112#2088C2211yescharacteristic, complemented
113#2088C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2084C2211yescharacteristic, complemented
116#2076C2211yescharacteristic
117#2075C2211yescharacteristic, complemented
118#2073C2211yescharacteristic
119#2072C2211yescharacteristic, complemented
120#2067C2211yescharacteristic
121#2067C2211yescharacteristic, complemented
122#2065C2211yescharacteristic
123#2065C2211yescharacteristic, complemented
124#2059C2211yescharacteristic, complemented
125#2059C2211yescharacteristic, complemented
126#2054C2211yescharacteristic
127#2054C2211yescharacteristic
128#2042C2211yescharacteristic
129#2042C2211yescharacteristic
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic
134#2035C2211yescharacteristic
135#2034C2211yescharacteristic
136#2034C2211yescharacteristic
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic
139#2033C2211yescharacteristic
140#2025C2211yescharacteristic
141#2025C2211yescharacteristic, complemented
142#2015C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic
145#2011C2211yescharacteristic
146#2001C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1973C2211yescharacteristic, complemented
153#1972C2211yescharacteristic
154#1970C2211yescharacteristic
155#1968C2211yescharacteristic
156#1968C2211yescharacteristic, complemented
157#1958C2211yescharacteristic
158#1957C2211yescharacteristic, complemented
159#1942C2211yescharacteristic, complemented
160#1936C2211yescharacteristic
161#1935C2211yescharacteristic, complemented
162#1927C2211yescharacteristic, complemented
163#1926C2211yescharacteristic
164#1926C2211yescharacteristic, complemented
165#1925C2211yescharacteristic, complemented
166#1924C2211yescharacteristic
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1923C2211yescharacteristic
171#1923C2211yescharacteristic
172#1923C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1895C2211yescharacteristic
175#1895C2211yescharacteristic, complemented
176#1893C2211yescharacteristic
177#1893C2211yescharacteristic, complemented
178#1892C2211yescharacteristic, complemented
179#1892C2211yescharacteristic, complemented
180#1880C2211yescharacteristic
181#1880C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic
185#1879C2211yescharacteristic
186#1879C2211yescharacteristic
187#1878C2211yescharacteristic, complemented
188#1875C2211yescharacteristic
189#1872C2211yescharacteristic, complemented
190#1864C2211yescharacteristic
191#1864C2211yescharacteristic, complemented
192#1863C2211yescharacteristic, complemented
193#1863C2211yescharacteristic, complemented
194#1854C2211yescharacteristic
195#1853C2211yescharacteristic, complemented
196#1847C2211yescharacteristic, complemented
197#1809C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic
203#1729C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#537—24no—
222#537—42no—
223#535—24no—
224#535—42no—
225C2×#127—21no—
226C2×#127C2311yescharacteristic
227#529—24no—
228#529—24no—
229#529—42no—
230#529—42no—
231C2×#126—21no—
232C2×#126—21no—
233C2×#125C2311yescharacteristic
234C2×#125C2311yescharacteristic
235C2×#124—21no—
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×#117—21no—
275C2×#117—21no—
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C42C2311yescharacteristic
281#496—42no—
282#485—24no—
283#482—24no—
284#481—24no—
285#480—24no—
286#479—24no—
287#479—24no—
288#478—24no—
289#478—24no—
290#470—24no—
291#469—24no—
292#469—24no—
293#468—24no—
294#468D418yescomplemented
295#466—24no—
296#466—42no—
297#465—24no—
298#465—42no—
299#464—24no—
300#464—24no—
301#463—24no—
302#463—24no—
303#452—42no—
304#450—24no—
305#449—24no—
306#449—24no—
307#447—24no—
308#447—42no—
309#440—42no—
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#107C2311yescharacteristic
314C2×#107C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×#106C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321#423—24no—
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
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
356#408—24no—
357#408—42no—
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366#405—42no—
367C2×#97C2311yescharacteristic
368C2×#97C2311yescharacteristic
369C2×C4×C8C2311yescharacteristic
370C2×C4×C8C2311yescharacteristic
371#400—21no—
372#400—21no—
373#399—21no—
374#398—21no—
375#397—21no—
376#397—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#396—21no—
385#395—21no—
386#394—21no—
387#394—21no—
388#394—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#394—21no—
400#394—21no—
401#394—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#391D411yescharacteristic
412#391D411yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390—21no—
422#390D411yescharacteristic
423#390D411yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#389—21no—
433#389—21no—
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#387—21no—
456#387—21no—
457#387—21no—
458#387—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#386—21no—
469#386D411yescharacteristic
470#386D411yescharacteristic
471#386D411yescharacteristic
472#386D411yescharacteristic
473#385—21no—
474#385—21no—
475#385—21no—
476#385—21no—
477#384C2311yescharacteristic
478#382C2311yescharacteristic
479#380—21no—
480#380—21no—
481#380—21no—
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#379—21no—
489#379—21no—
490#379—21no—
491C4×C4⋊C4—21no—
492C4×C4⋊C4C2311yescharacteristic
493C4×C4⋊C4C2311yescharacteristic
494C4×C22⋊C4—21no—
495C4×C22⋊C4C2311yescharacteristic
496C4×C22⋊C4C2311yescharacteristic
497C4×C22⋊C4C2311yescharacteristic
498C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
512#340C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521C25—21no—
522C2×#41—22no—
523C2×#41—22no—
524C2×#41—22no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C22×Q8C2×D411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—21no—
538C22×D4—22no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—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×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4C2×D411yescharacteristic
569C23×C4C2×D411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C2×Q16—22no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16C2×D414yes—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×M16—22no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16—41no—
605C2×M16C2×D414yes—
606C22×C8—22no—
607C22×C8—22no—
608C22×C8—22no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620#127—41no—
621#127—41no—
622#127—44no—
623#126—44no—
624#126—44no—
625#125—22no—
626#125—22no—
627#125—41no—
628#125—41no—
629#124—22no—
630#124—22no—
631#124—41no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—44no—
636#123—44no—
637#123—44no—
638#123—82no—
639#123—82no—
640#123—82no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—44no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8C2×D414yes—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—44no—
663#121—44no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—44no—
670#121—41no—
671#121—41no—
672#121—82no—
673#121C2×D414yes—
674#120—44no—
675#120—44no—
676C4×Q8—22no—
677C4×Q8—22no—
678C4×Q8—41no—
679C4×Q8—41no—
680C4×Q8—41no—
681C4×Q8—41no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—44no—
689C4×D4—44no—
690C4×D4—82no—
691#117—22no—
692#117—41no—
693#117—41no—
694#117—44no—
695#117—44no—
696#117—41no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—22no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
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—82no—
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C42—22no—
790C2×C42—22no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42—21no—
796C2×C42—21no—
797C2×C42C2×D411yescharacteristic
798C2×C42C2×D411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803#107—22no—
804#107—22no—
805#107—41no—
806#107—41no—
807#107C2×D414yes—
808#106—22no—
809#106—22no—
810#106—22no—
811#106—22no—
812#106—41no—
813#106—41no—
814C4⋊C8—22no—
815C4⋊C8—22no—
816C4⋊C8—22no—
817C4⋊C8—22no—
818#103—22no—
819#103—22no—
820#103—22no—
821#103—22no—
822#103—22no—
823#103—41no—
824#103—41no—
825#103—41no—
826#103—41no—
827#103C2×D414yes—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—22no—
834#102—22no—
835#102—22no—
836#102—22no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102C2×D414yes—
848C22⋊C8—22no—
849C22⋊C8—22no—
850C22⋊C8—22no—
851C22⋊C8—22no—
852C22⋊C8—22no—
853C22⋊C8—22no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856#97—22no—
857#97—22no—
858C4×C8—41no—
859C4×C8—41no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
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#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—42no—
893C24—42no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24C22×D411yescharacteristic
900C24C22×D411yescharacteristic
901C24C22×D411yescharacteristic
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—82no—
908#41—82no—
909#41—82no—
910C2×Q8—22no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—41no—
923C2×Q8—41no—
924C2×Q8C22×D412yes—
925C2×D4—24no—
926C2×D4—22no—
927C2×D4—22no—
928C2×D4—22no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
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—
999C2×D4—81no—
1000C2×D4C22×D412yes—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—22no—
1009C22×C4—22no—
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—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D412yes—
1062C22×C4H(5,𝔽2)12yes—
1063C22×C4C2511yescharacteristic
1064Q16—82no—
1065SD16—44no—
1066SD16—82no—
1067SD16—82no—
1068SD16—82no—
1069D8—82no—
1070D8—82no—
1071D8—82no—
1072D8—82no—
1073M16—44no—
1074M16—82no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
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—44no—
1097C2×C8—82no—
1098C2×C8C22×D412yes—
1099C2×C8C22×D412yes—
1100C2×C8H(5,𝔽2)12yes—
1101C4⋊C4—24no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4C22×D412yes—
1143C4⋊C4C22×D412yes—
1144C22⋊C4—24no—
1145C22⋊C4—24no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
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—
1200C42—22no—
1201C42—22no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—21no—
1207C42—21no—
1208C42—21no—
1209C42—21no—
1210C42—42no—
1211C42—42no—
1212C42—42no—
1213C42—81no—
1214C42—81no—
1215C42—81no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
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—84no—
1265C23—84no—
1266C23—162no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23D4212yes—
1272C23C23×D411yescharacteristic
1273Q8—22no—
1274Q8—22no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—41no—
1281Q8—82no—
1282D4—22no—
1283D4—22no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—82no—
1299D4—82no—
1300D4—82no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—84no—
1305D4—84no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
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—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
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—22no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
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—82no—
1395C2×C4—82no—
1396C2×C4—84no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—162no—
1400C2×C4—162no—
1401C2×C4D4212yes—
1402C2×C4C23×D411yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4#58511yescharacteristic
1406C2×C4#58511yescharacteristic
1407C2×C4#58511yescharacteristic
1408C8—22no—
1409C8—22no—
1410C8—22no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C8—41no—
1415C8—41no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—42no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—42no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
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—168no—
1466C22#344911yescharacteristic
1467C22C2×D4211yescharacteristic
1468C22#349611yescharacteristic
1469C22#358411yescharacteristic
1470C22#358411yescharacteristic
1471C22#358511yescharacteristic
1472C22#358511yescharacteristic
1473C4—22no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—42no—
1481C4—42no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—42no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4#349611yescharacteristic
1497C4#350011yescharacteristic
1498C4#353411yescharacteristic
1499C4#356011yescharacteristic
1500C2—42no—
1501C2—81no—
1502C2—81no—
1503C2—82no—
1504C2—161no—
1505C2—161no—
1506C2—161no—
1507C2#3935411yescharacteristic
1508C2#6099711yescharacteristic
1509C2#6099811yescharacteristic
1510C2#6107411yescharacteristic
1511C2#6107711yescharacteristic
1512C2#6233411yescharacteristic
1513C2#6234411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2297 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3256C2semidirect
2. C2×#3198C2semidirect
3. #37786C2semidirect
4. #37785C2semidirect
5. #33187C2semidirect
6. #31124C2semidirect
7. #31121C2semidirect
8. #31101C2semidirect
9. #31094C2semidirect
10. #30996C2semidirect
11. #30985C2semidirect
12. #30475C2semidirect
13. #30468C2semidirect
14. #29782C2semidirect
15. #29747C2semidirect
16. #28589C2semidirect
17. #28584C2semidirect
18. #27236C2semidirect
19. #27229C2semidirect
20. #26936C2semidirect
21. #26927C2semidirect
22. #26811C2semidirect
23. #26802C2semidirect
24. #25500C2semidirect
25. #25500C2semidirect
26. #25167C2semidirect
27. #25164C2semidirect
28. #24395C2semidirect
29. #24390C2semidirect
30. #21543C2semidirect
31. #21051C2semidirect
35. C2×#529C22semidirect
43. C2×#479C22semidirect
44. C2×#479C22semidirect
46. C2×#478C22semidirect
47. C2×#470C22semidirect
51. C2×#468C22semidirect
55. C2×#465C22semidirect
57. C2×#464C22semidirect
60. C2×#452C22semidirect
67. C2×#423C22semidirect
70. C2×#405C22semidirect
72. #2854C22semidirect
82. #2619C22semidirect
92. #2442C22semidirect
95. #2431C22semidirect
106. #2361C22semidirect
107. #2341C22semidirect
110. #2323C22semidirect
112. #2088C22semidirect
113. #2088C22semidirect
114. #2085C22semidirect
115. #2084C22semidirect
117. #2075C22semidirect
119. #2072C22semidirect
121. #2067C22semidirect
123. #2065C22semidirect
124. #2059C22semidirect
125. #2059C22semidirect
130. #2042C22semidirect
131. #2041C22semidirect
132. #2036C22semidirect
137. #2034C22semidirect
141. #2025C22semidirect
149. #2000C22semidirect
152. #1973C22semidirect
156. #1968C22semidirect
158. #1957C22semidirect
159. #1942C22semidirect
161. #1935C22semidirect
162. #1927C22semidirect
164. #1926C22semidirect
165. #1925C22semidirect
168. #1924C22semidirect
169. #1924C22semidirect
172. #1923C22semidirect
173. #1923C22semidirect
175. #1895C22semidirect
177. #1893C22semidirect
178. #1892C22semidirect
179. #1892C22semidirect
182. #1880C22semidirect
187. #1878C22semidirect
189. #1872C22semidirect
191. #1864C22semidirect
192. #1863C22semidirect
193. #1863C22semidirect
195. #1853C22semidirect
196. #1847C22semidirect
197. #1809C22semidirect
198. #1788C22semidirect
200. #1776C22semidirect
201. C4×#103C22semidirect
203. #1729C22semidirect
204. C2×#336C22semidirect
294. #468D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32562
C2×#31982
#377862
#377852
#331872
#311242
#311212
#311012
#310942
#309962
#309852
#304752
#304682
#297822
#297472
#285892
#285842
#272362
#272292
#269362
#269272
#268112
#268022
#255002
#251672
#251642
#243952
#243902
#215432
#210512