Finite Group Databasebeta

← #6503006

Subgroups — #6503006

Order 512.

2237 conjugacy classes of subgroups.

The subgroup lattice has 1619 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3199C211yesmaximal, characteristic, complemented
2C2×#2981C211yesmaximal, characteristic, complemented
3#37273C211yesmaximal, characteristic, complemented
4#35533C211yesmaximal, characteristic, complemented
5#28567C211yesmaximal, characteristic, complemented
6#28561C211yesmaximal, characteristic, complemented
7#28557C211yesmaximal, characteristic, complemented
8#28551C211yesmaximal, characteristic, complemented
9#25257C211yesmaximal, characteristic, complemented
10#25255C211yesmaximal, characteristic, complemented
11#25243C211yesmaximal, characteristic, complemented
12#25237C211yesmaximal, characteristic, complemented
13#25132C211yesmaximal, characteristic, complemented
14#25124C211yesmaximal, characteristic, complemented
15#25116C211yesmaximal, characteristic, complemented
16#25108C211yesmaximal, characteristic, complemented
17#24792C211yesmaximal, characteristic, complemented
18#24790C211yesmaximal, characteristic, complemented
19#24784C211yesmaximal, characteristic, complemented
20#24778C211yesmaximal, characteristic, complemented
21#24610C211yesmaximal, characteristic, complemented
22#24605C211yesmaximal, characteristic, complemented
23#24567C211yesmaximal, characteristic, complemented
24#24565C211yesmaximal, characteristic, complemented
25#24506C211yesmaximal, characteristic, complemented
26#24500C211yesmaximal, characteristic, complemented
27#24390C211yesmaximal, characteristic, complemented
28#24390C211yesmaximal, characteristic, complemented
29#21770C211yesmaximal, characteristic, complemented
30#20914C211yesmaximal, characteristic, complemented
31#20849C211yesmaximal, characteristic, complemented
32C2×#535C2211yescharacteristic
33C2×#535C2211yescharacteristic
34C2×#535C2211yescharacteristic, complemented
35C2×#532C2211yescharacteristic
36C2×#520C2211yescharacteristic
37#3199—28no—
38C2×#482C2211yescharacteristic
39C2×#482C2211yescharacteristic
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#469C2211yescharacteristic
43C2×#469C2211yescharacteristic
44C2×#469C2211yescharacteristic
45C2×#469C2211yescharacteristic
46C2×#466C2211yescharacteristic
47C2×#466C2211yescharacteristic
48C2×#466C2211yescharacteristic
49C2×#466C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#447C2211yescharacteristic
53C2×#447C2211yescharacteristic
54#2981—28no—
55C2×#436C2211yescharacteristic, complemented
56C2×#436C2211yescharacteristic, complemented
57C2×#435C2211yescharacteristic, complemented
58C2×#435C2211yescharacteristic, complemented
59C2×#435C2211yescharacteristic, complemented
60C2×#435C2211yescharacteristic, complemented
61C2×C8×D4C2211yescharacteristic, complemented
62C2×C8×D4C2211yescharacteristic, complemented
63C2×#432C2211yescharacteristic, complemented
64C2×#431C2211yescharacteristic, complemented
65C2×#428C2211yescharacteristic, complemented
66C2×#427C2211yescharacteristic, complemented
67C2×#418C2211yescharacteristic, complemented
68C22×#102C2211yescharacteristic, complemented
69C2×#408C2211yescharacteristic
70C2×#408C2211yescharacteristic
71C2×#408C2211yescharacteristic, complemented
72C2×#408C2211yescharacteristic, complemented
73#2854C2211yescharacteristic
74#2854C2211yescharacteristic
75#2733—21no—
76#2731—21no—
77#2684—21no—
78#2678—21no—
79#2678—21no—
80#2673—21no—
81#2673—21no—
82#2669—21no—
83#2615C2211yescharacteristic
84#2615C2211yescharacteristic
85#2548—21no—
86#2545—21no—
87#2544—21no—
88#2541—21no—
89#2485C2211yescharacteristic, complemented
90#2485C2211yescharacteristic, complemented
91#2424—21no—
92#2424—21no—
93#2424—21no—
94#2424—21no—
95#2416C2211yescharacteristic
96#2416C2211yescharacteristic
97#2416C2211yescharacteristic, complemented
98#2416C2211yescharacteristic, complemented
99#2416C2211yescharacteristic, complemented
100#2416C2211yescharacteristic, complemented
101#2414C2211yescharacteristic
102#2414C2211yescharacteristic
103#2414C2211yescharacteristic, complemented
104#2414C2211yescharacteristic, complemented
105#2414C2211yescharacteristic, complemented
106#2414C2211yescharacteristic, complemented
107#2408C2211yescharacteristic, complemented
108#2408C2211yescharacteristic, complemented
109#2311C2211yescharacteristic
110#2311C2211yescharacteristic, complemented
111#2296C2211yescharacteristic, complemented
112C2×#390C2211yescharacteristic, complemented
113#2088C2211yescharacteristic, complemented
114#2088C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2086C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2065C2211yescharacteristic, complemented
126#2065C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2065C2211yescharacteristic, complemented
129#2054C2211yescharacteristic
130#2054C2211yescharacteristic
131#2054C2211yescharacteristic
132#2054C2211yescharacteristic
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1972C2211yescharacteristic
146#1972C2211yescharacteristic
147#1970C2211yescharacteristic
148#1970C2211yescharacteristic
149#1944C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1942C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1936C2211yescharacteristic, complemented
156#1936C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1895C2211yescharacteristic, complemented
167#1893C2211yescharacteristic
168#1893C2211yescharacteristic
169#1893C2211yescharacteristic, complemented
170#1893C2211yescharacteristic, complemented
171#1893C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1875C2211yescharacteristic
174#1875C2211yescharacteristic
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1852C2211yescharacteristic, complemented
192#1852C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1809C2211yescharacteristic, complemented
197#1808C2211yescharacteristic, complemented
198#1807C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#535—24no—
222#535—24no—
223#535—24no—
224#535—24no—
225#535—42no—
226#535—42no—
227#532—24no—
228#532—24no—
229C2×C4⋊Q8D411yescharacteristic
230C2×#127—21no—
231C2×#127—21no—
232C2×#127—21no—
233C2×#127D411yescharacteristic
234C2×#124—21no—
235C2×#124—21no—
236C2×#124—21no—
237C2×#124D411yescharacteristic
238C2×#124D411yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121D411yescharacteristic
248C2×#121D411yescharacteristic
249C2×#121D411yescharacteristic
250C2×#121D411yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275#520—42no—
276#520—42no—
277C2×C4×Q8—21no—
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C2×#117C2311yescharacteristic
289C2×#117C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C22⋊C4—21no—
296C22×C22⋊C4—21no—
297C22×C42C2311yescharacteristic
298#482—24no—
299#482—24no—
300#482—24no—
301#482—24no—
302#469—24no—
303#469—24no—
304#469—42no—
305#469—42no—
306#466—24no—
307#466—24no—
308#466—42no—
309#466—42no—
310#447—24no—
311#447—24no—
312#447—24no—
313#447—24no—
314#436—24no—
315#436—24no—
316#435—24no—
317#435—24no—
318#435—24no—
319#435—24no—
320C8×D4—24no—
321C8×D4—24no—
322#432—24no—
323#431—24no—
324#428—42no—
325#427—42no—
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—42no—
343C2×#102—42no—
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×#102C2311yescharacteristic
368#408—24no—
369#408—24no—
370#408—24no—
371#408D418yescomplemented
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×#97C2311yescharacteristic
385C2×#97C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387C2×C4×C8C2311yescharacteristic
388#397—21no—
389#397—21no—
390#396—21no—
391#396—21no—
392#396—21no—
393#396—21no—
394#396—21no—
395#396—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#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#393—21no—
413#393—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#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#391—21no—
429#391—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#387—21no—
469#387—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#385—21no—
483#385—21no—
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498C4×C4⋊C4—21no—
499C4×C4⋊C4—21no—
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
524C25—21no—
525C25—21no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41C2×D414yes—
537C2×#41#4114yes—
538C22×Q8C2×D411yescharacteristic
539C22×Q8C2×D411yescharacteristic
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—22no—
557C22×D4—22no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4C2×D411yescharacteristic
571C22×D4C2×D411yescharacteristic
572C22×D4C2×D411yescharacteristic
573C22×D4C2×D411yescharacteristic
574C22×D4C2×D411yescharacteristic
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2×D411yescharacteristic
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4C2×D411yescharacteristic
589C23×C4C2×D411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×M16—22no—
608C2×M16—22no—
609C2×M16—22no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16C2×D414yes—
619C22×C8—22no—
620C22×C8—22no—
621C22×C8—22no—
622C22×C8—41no—
623C22×C8—41no—
624C22×C8—41no—
625C22×C8—41no—
626C22×C8—41no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8C2×D414yes—
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C4⋊Q8—24no—
640#127—24no—
641#127—44no—
642#127—44no—
643#127—44no—
644#124—24no—
645#124—24no—
646#124—44no—
647#124—44no—
648#124—44no—
649#123—82no—
650#123—82no—
651#121—24no—
652#121—24no—
653#121—24no—
654#121—24no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
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—22no—
673#121—22no—
674#121—22no—
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—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—82no—
688#121—82no—
689#121—82no—
690#121—82no—
691#121—82no—
692#121—82no—
693#120—44no—
694#120—44no—
695#120—44no—
696#120—44no—
697#120—44no—
698#120—44no—
699#120—82no—
700#120—82no—
701C4×Q8—44no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—44no—
711C4×D4—44no—
712C4×D4—44no—
713#117—22no—
714#117—22no—
715#117—22no—
716#117—22no—
717#117—22no—
718#117—22no—
719#117—22no—
720#117—22no—
721#117—41no—
722#117—41no—
723#117—41no—
724#117—41no—
725C2×C4⋊C4—22no—
726C2×C4⋊C4—22no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—41no—
740C2×C4⋊C4—41no—
741C2×C4⋊C4—41no—
742C2×C4⋊C4—41no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4—41no—
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—82no—
812C2×C22⋊C4—82no—
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C42—21no—
822C2×C42—22no—
823C2×C42—22no—
824C2×C42—21no—
825C2×C42—21no—
826C2×C42—21no—
827C2×C42—21no—
828C2×C42—21no—
829C2×C42C2×D411yescharacteristic
830C2×C42C2×D411yescharacteristic
831C2×C42C2411yescharacteristic
832C2×C42C2411yescharacteristic
833#107—22no—
834#107—22no—
835#107—22no—
836#107—22no—
837#107—41no—
838#107—41no—
839#106—22no—
840#106—22no—
841#106—22no—
842#106—22no—
843#106—41no—
844#106—41no—
845C4⋊C8—22no—
846C4⋊C8—22no—
847C4⋊C8—22no—
848C4⋊C8—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—22no—
876C22⋊C8—22no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—22no—
881C22⋊C8C2×D414yes—
882C22⋊C8C2×D414yes—
883C22⋊C8C2×D414yes—
884C22⋊C8C2×D414yes—
885#97—22no—
886#97—22no—
887C4×C8—22no—
888C4×C8—22no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—42no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24C22×D411yescharacteristic
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931C24C22×D411yescharacteristic
932#41—44no—
933#41—44no—
934#41—44no—
935#41—44no—
936#41—82no—
937#41—82no—
938#41—82no—
939#41—82no—
940C2×Q8—22no—
941C2×Q8—41no—
942C2×Q8—41no—
943C2×Q8—41no—
944C2×Q8—41no—
945C2×Q8#12114yes—
946C2×D4—22no—
947C2×D4—22no—
948C2×D4—22no—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
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—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—82no—
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×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4#12114yes—
1060C2×D4#12114yes—
1061C2×D4#12114yes—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—22no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D412yes—
1125C22×C4C22×D412yes—
1126C22×C4C22×D412yes—
1127C22×C4C22×D411yescharacteristic
1128C22×C4C2×#4112yes—
1129C22×C4C2×#4112yes—
1130C22×C4C2×#4112yes—
1131C22×C4C2511yescharacteristic
1132D8—82no—
1133D8—82no—
1134D8—82no—
1135D8—82no—
1136M16—44no—
1137M16—82no—
1138M16—82no—
1139M16—82no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—44no—
1161C2×C8—82no—
1162C2×C8—82no—
1163C2×C8—82no—
1164C2×C8C22×D412yes—
1165C2×C8C22×D412yes—
1166C2×C8C22×D412yes—
1167C2×C8C22×D412yes—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4H(5,𝔽2)12yes—
1207C4⋊C4H(5,𝔽2)12yes—
1208C22⋊C4—24no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C42—24no—
1267C42—22no—
1268C42—22no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—21no—
1273C42—42no—
1274C42—42no—
1275C42—42no—
1276C42—42no—
1277C42—81no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—84no—
1339C23—84no—
1340C23—84no—
1341C23—84no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23C2×#12112yes—
1353C23C2×#12112yes—
1354C23C2×#12112yes—
1355C23C23×D411yescharacteristic
1356Q8—44no—
1357Q8—82no—
1358D4—44no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—44no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—82no—
1380D4—84no—
1381D4—84no—
1382D4—82no—
1383D4—82no—
1384D4—82no—
1385D4—82no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
1397D4—162no—
1398D4—162no—
1399D4—162no—
1400D4—162no—
1401D4—162no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—44no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—82no—
1483C2×C4—162no—
1484C2×C4—162no—
1485C2×C4—162no—
1486C2×C4—162no—
1487C2×C4C2×#12112yes—
1488C2×C4C2×#12112yes—
1489C2×C4C2×#12112yes—
1490C2×C4#57612yes—
1491C2×C4C23×D411yescharacteristic
1492C2×C4C22×#4111yescharacteristic
1493C2×C4C2×H(5,𝔽2)11yescharacteristic
1494C2×C4C2×H(5,𝔽2)11yescharacteristic
1495C2×C4#58511yescharacteristic
1496C2×C4#58511yescharacteristic
1497C8—22no—
1498C8—22no—
1499C8—22no—
1500C8—22no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—168no—
1569C22—168no—
1570C22C22×#12111yescharacteristic
1571C22#348411yescharacteristic
1572C22#348511yescharacteristic
1573C22C2×#57611yescharacteristic
1574C22#358411yescharacteristic
1575C22#358511yescharacteristic
1576C22#358511yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4#349611yescharacteristic
1599C4#349611yescharacteristic
1600C4#350511yescharacteristic
1601C4#350511yescharacteristic
1602C2—42no—
1603C2—42no—
1604C2—42no—
1605C2—81no—
1606C2—81no—
1607C2—161no—
1608C2—161no—
1609C2—161no—
1610C2—161no—
1611C2#3535811yescharacteristic
1612C2#6045811yescharacteristic
1613C2#6046111yescharacteristic
1614C2#6168811yescharacteristic
1615C2#6169011yescharacteristic
1616C2#6180211yescharacteristic
1617C2#6180411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3199C2semidirect
2. C2×#2981C2semidirect
3. #37273C2semidirect
4. #35533C2semidirect
5. #28567C2semidirect
6. #28561C2semidirect
7. #28557C2semidirect
8. #28551C2semidirect
9. #25257C2semidirect
10. #25255C2semidirect
11. #25243C2semidirect
12. #25237C2semidirect
13. #25132C2semidirect
14. #25124C2semidirect
15. #25116C2semidirect
16. #25108C2semidirect
17. #24792C2semidirect
18. #24790C2semidirect
19. #24784C2semidirect
20. #24778C2semidirect
21. #24610C2semidirect
22. #24605C2semidirect
23. #24567C2semidirect
24. #24565C2semidirect
25. #24506C2semidirect
26. #24500C2semidirect
27. #24390C2semidirect
28. #24390C2semidirect
29. #21770C2semidirect
30. #20914C2semidirect
31. #20849C2semidirect
34. C2×#535C22semidirect
55. C2×#436C22semidirect
56. C2×#436C22semidirect
57. C2×#435C22semidirect
58. C2×#435C22semidirect
59. C2×#435C22semidirect
60. C2×#435C22semidirect
61. C2×C8×D4C22semidirect
62. C2×C8×D4C22semidirect
63. C2×#432C22semidirect
64. C2×#431C22semidirect
65. C2×#428C22semidirect
66. C2×#427C22semidirect
67. C2×#418C22semidirect
68. C22×#102C22semidirect
71. C2×#408C22semidirect
72. C2×#408C22semidirect
89. #2485C22semidirect
90. #2485C22semidirect
97. #2416C22semidirect
98. #2416C22semidirect
99. #2416C22semidirect
100. #2416C22semidirect
103. #2414C22semidirect
104. #2414C22semidirect
105. #2414C22semidirect
106. #2414C22semidirect
107. #2408C22semidirect
108. #2408C22semidirect
110. #2311C22semidirect
111. #2296C22semidirect
112. C2×#390C22semidirect
113. #2088C22semidirect
114. #2088C22semidirect
115. #2087C22semidirect
116. #2086C22semidirect
117. #2077C22semidirect
118. #2077C22semidirect
119. #2076C22semidirect
120. #2075C22semidirect
121. #2067C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2067C22semidirect
125. #2065C22semidirect
126. #2065C22semidirect
127. #2065C22semidirect
128. #2065C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
149. #1944C22semidirect
150. #1943C22semidirect
151. #1942C22semidirect
152. #1941C22semidirect
153. #1936C22semidirect
154. #1936C22semidirect
155. #1936C22semidirect
156. #1936C22semidirect
157. #1934C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1934C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
166. #1895C22semidirect
169. #1893C22semidirect
170. #1893C22semidirect
171. #1893C22semidirect
172. #1893C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
181. #1874C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1874C22semidirect
185. #1854C22semidirect
186. #1854C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1853C22semidirect
190. #1853C22semidirect
191. #1852C22semidirect
192. #1852C22semidirect
193. #1825C22semidirect
194. #1825C22semidirect
195. #1809C22semidirect
196. #1809C22semidirect
197. #1808C22semidirect
198. #1807C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1736C22semidirect
202. #1736C22semidirect
203. #1735C22semidirect
204. C2×#340C22semidirect
371. #408D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31992
C2×#29812
#372732
#355332
#285672
#285612
#285572
#285512
#252572
#252552
#252432
#252372
#251322
#251242
#251162
#251082
#247922
#247902
#247842
#247782
#246102
#246052
#245672
#245652
#245062
#245002
#243902
#217702
#209142
#208492