Finite Group Databasebeta

← #6595682

Subgroups — #6595682

Order 512.

3413 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3297C211yesmaximal, characteristic, complemented
3C2×#3282C211yesmaximal, characteristic, complemented
4#36360C211yesmaximal, characteristic, complemented
5#33010C211yesmaximal, characteristic, complemented
6#33006C211yesmaximal, characteristic, complemented
7#32910C211yesmaximal, characteristic, complemented
8#25937C211yesmaximal, characteristic, complemented
9#25635C211yesmaximal, characteristic, complemented
10#25601C211yesmaximal, characteristic, complemented
11#25540C211yesmaximal, characteristic, complemented
12#25535C211yesmaximal, characteristic, complemented
13#25500C211yesmaximal, characteristic, complemented
14#25495C211yesmaximal, characteristic, complemented
15#24435C211yesmaximal, characteristic, complemented
16#24431C211yesmaximal, characteristic, complemented
17#24334C211yesmaximal, characteristic, complemented
18#24192C211yesmaximal, characteristic, complemented
19#24159C211yesmaximal, characteristic, complemented
20#23968C211yesmaximal, characteristic, complemented
21#23963C211yesmaximal, characteristic, complemented
22#23938C211yesmaximal, characteristic, complemented
23#23930C211yesmaximal, characteristic, complemented
24#23858C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#22488C211yesmaximal, characteristic, complemented
27#22469C211yesmaximal, characteristic, complemented
28#22416C211yesmaximal, characteristic, complemented
29C4×#449C211yesmaximal, characteristic, complemented
30#20924C211yesmaximal, characteristic, complemented
31C2×#1880C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34#3480—28no—
35#3480—28no—
36C2×#559—21no—
37C2×#559C2211yescharacteristic, complemented
38C2×#557C2211yescharacteristic, complemented
39C2×#556—21no—
40C2×#556C2211yescharacteristic, complemented
41C2×#553—21no—
42C2×#553—21no—
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#550C2211yescharacteristic, complemented
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#532—21no—
50C2×#532C2211yescharacteristic
51C2×#529—21no—
52C2×#529—21no—
53C2×#529C2211yescharacteristic, complemented
54C2×#529C2211yescharacteristic, complemented
55C2×C4×#41—21no—
56C2×C4×#41C2211yescharacteristic
57C2×C4×#41C2211yescharacteristic, complemented
58C2×C4×#41C2211yescharacteristic, complemented
59C22×C4×Q8C2211yescharacteristic
60#3297—28no—
61#3282—28no—
62C2×#495C2211yescharacteristic
63C2×#488C2211yescharacteristic
64C2×#484C2211yescharacteristic
65C2×#482C2211yescharacteristic
66C2×#478C2211yescharacteristic
67C2×#466C2211yescharacteristic
68C2×#465C2211yescharacteristic
69C2×#465C2211yescharacteristic
70C2×#465C2211yescharacteristic
71C2×#464C2211yescharacteristic
72C2×#463C2211yescharacteristic
73C2×#463C2211yescharacteristic
74C2×#452C2211yescharacteristic
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic
80C2×#451C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×C4×SD16C2211yescharacteristic
84C2×C4×D8C2211yescharacteristic
85C2×C8×D4C2211yescharacteristic
86C2×C8×D4C2211yescharacteristic
87C2×#416C2211yescharacteristic
88C2×#416C2211yescharacteristic, complemented
89C22×#103C2211yescharacteristic
90C22×#102C2211yescharacteristic
91#2855C2211yescharacteristic
92#2854C2211yescharacteristic
93#2850C2211yescharacteristic
94#2592C2211yescharacteristic
95#2580C2211yescharacteristic
96#2476—21no—
97#2471—21no—
98#2458—21no—
99#2456—21no—
100#2418—21no—
101#2417C2211yescharacteristic
102#2414C2211yescharacteristic
103#2408C2211yescharacteristic
104#2407C2211yescharacteristic
105#2404—21no—
106#2358—21no—
107#2352C2211yescharacteristic
108#2342—21no—
109C4×#121C2211yescharacteristic
110#2297C2211yescharacteristic
111C2×#390C2211yescharacteristic
112#2059C2211yescharacteristic, complemented
113#2058C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2041C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2026C2211yescharacteristic, complemented
119#2025C2211yescharacteristic
120#2025C2211yescharacteristic
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic
124#2015C2211yescharacteristic, complemented
125#2014C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2001C2211yescharacteristic, complemented
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic, complemented
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1991C2211yescharacteristic, complemented
137#1989C2211yescharacteristic, complemented
138#1984C2211yescharacteristic, complemented
139#1984C2211yescharacteristic, complemented
140#1983C2211yescharacteristic, complemented
141#1958C2211yescharacteristic, complemented
142#1893C2211yescharacteristic
143#1893C2211yescharacteristic
144#1893C2211yescharacteristic, complemented
145#1892C2211yescharacteristic, complemented
146#1880C2211yescharacteristic
147#1880C2211yescharacteristic
148#1880C2211yescharacteristic
149#1880C2211yescharacteristic
150#1880C2211yescharacteristic
151#1880C2211yescharacteristic
152#1880C2211yescharacteristic
153#1880C2211yescharacteristic
154#1880C2211yescharacteristic
155#1880C2211yescharacteristic
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic
158#1879C2211yescharacteristic
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1878C2211yescharacteristic, complemented
163#1878C2211yescharacteristic, complemented
164#1878C2211yescharacteristic, complemented
165#1878C2211yescharacteristic, complemented
166#1878C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1877C2211yescharacteristic, complemented
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic
172#1875C2211yescharacteristic, complemented
173#1874C2211yescharacteristic
174#1874C2211yescharacteristic
175#1873C2211yescharacteristic, complemented
176#1873C2211yescharacteristic, complemented
177#1869C2211yescharacteristic
178#1869C2211yescharacteristic
179#1869C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1865C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1824C2211yescharacteristic
192#1817C2211yescharacteristic
193#1817C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic
200C4×#103C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic
205C2×#336C2211yescharacteristic
206C2×#336C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41D411yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×#135—24no—
215C2×#135—24no—
216C2×#135—42no—
217C22×Q16C2311yescharacteristic
218C22×Q16C2311yescharacteristic
219C22×SD16—24no—
220C22×SD16—24no—
221C22×SD16—42no—
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#559—216no—
237#559—24no—
238#559—24no—
239#557—24no—
240#557—24no—
241#556—216no—
242#556—24no—
243#556—24no—
244#553—216no—
245#553—216no—
246#553—24no—
247#553—24no—
248#553—24no—
249#553D418yescomplemented
250#550—24no—
251#550—24no—
252#548—24no—
253#548—24no—
254#548—24no—
255#548D418yescomplemented
256#546—24no—
257#546—24no—
258#532—216no—
259#532—24no—
260#532—24no—
261C2×C4⋊Q8—21no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×#127—21no—
264C2×#127C2311yescharacteristic
265#529—216no—
266#529—216no—
267#529—24no—
268#529—24no—
269#529—24no—
270#529—24no—
271C2×#126—21no—
272C2×#126—21no—
273C2×#126—21no—
274C2×#126—21no—
275C2×#126—21no—
276C2×#126—21no—
277C2×#125—21no—
278C2×#125—21no—
279C2×#125C2311yescharacteristic
280C2×#125C2311yescharacteristic
281C2×#124—21no—
282C2×#124—21no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124—21no—
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#120—21no—
319C2×#120—21no—
320C4×#41—216no—
321C4×#41—24no—
322C4×#41—24no—
323C4×#41—24no—
324C4×#41—24no—
325C4×#41—24no—
326C4×#41—24no—
327C2×C4×Q8—24no—
328C2×C4×Q8—24no—
329C2×C4×Q8—21no—
330C2×C4×Q8—21no—
331C2×C4×Q8—21no—
332C2×C4×Q8—21no—
333C2×C4×Q8D411yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4—21no—
342C2×C4×D4—21no—
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4—21no—
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4—21no—
352C2×C4×D4—21no—
353C2×C4×D4—21no—
354C2×C4×D4—21no—
355C2×C4×D4D411yescharacteristic
356C2×C4×D4D411yescharacteristic
357C2×C4×D4D411yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×#117—21no—
367C2×#117—21no—
368C2×#117—21no—
369C2×#117—21no—
370C2×#117D411yescharacteristic
371C2×#117D411yescharacteristic
372C2×#117D411yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C22×C4⋊C4—21no—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382C22×C42—21no—
383C22×C42—21no—
384C22×C42—21no—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388#495—24no—
389#488—24no—
390#484—24no—
391#482—24no—
392#478—24no—
393#466—24no—
394#465—24no—
395#465—24no—
396#465—24no—
397#464—24no—
398#463—24no—
399#463—24no—
400#452—24no—
401#452—42no—
402#451—24no—
403#449—24no—
404#449—24no—
405#449—24no—
406#449—42no—
407#447—24no—
408#447—24no—
409C4×SD16—24no—
410C4×D8—24no—
411C8×D4—24no—
412C8×D4—24no—
413C2×#107C2311yescharacteristic
414C2×#107C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×#106C2311yescharacteristic
417C2×C4⋊C8C2311yescharacteristic
418C2×C4⋊C8C2311yescharacteristic
419#416—24no—
420#416—42no—
421C2×#103—42no—
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#102—24no—
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×C22⋊C8C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C4×C8C2311yescharacteristic
464C2×C4×C8C2311yescharacteristic
465#399—21no—
466#398—21no—
467#397—21no—
468#396—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#393—21no—
473#393—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390—21no—
481#390—21no—
482#390—21no—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#388—21no—
493#388—21no—
494#388—21no—
495#388—21no—
496#388—21no—
497#388—21no—
498#388—21no—
499#388—21no—
500#388—21no—
501#387—21no—
502#387—21no—
503#387—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#385—21no—
514#385—21no—
515#385—21no—
516#385—21no—
517#382C2311yescharacteristic
518#381—21no—
519#380—21no—
520#380C2311yescharacteristic
521#380C2311yescharacteristic
522#380C2311yescharacteristic
523#379—21no—
524C4×C4⋊C4C2311yescharacteristic
525C4×C22⋊C4—21no—
526C4×C22⋊C4—21no—
527C4×C22⋊C4—21no—
528C4×C22⋊C4—21no—
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#336C2311yescharacteristic
546#336C2311yescharacteristic
547#336C2311yescharacteristic
548#336C2311yescharacteristic
549#336C2311yescharacteristic
550#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557C25—21no—
558C2×#41—28no—
559C2×#41—22no—
560C2×#41—24no—
561C2×#41—22no—
562C2×#41—24no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—42no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—44no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—44no—
581C2×#41C2×D414yes—
582C22×Q8—21no—
583C22×Q8—21no—
584C22×Q8—22no—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8C2×D414yes—
590C22×Q8C2×D411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—22no—
608C22×D4—22no—
609C22×D4—21no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4C2×D411yescharacteristic
632C23×C4C2×D411yescharacteristic
633C23×C4C2×D411yescharacteristic
634C23×C4C2×D411yescharacteristic
635C23×C4C2×D411yescharacteristic
636C23×C4C2×D411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640#135—416no—
641C2×Q16—22no—
642C2×Q16—22no—
643C2×Q16—22no—
644C2×Q16—22no—
645C2×Q16—41no—
646C2×Q16—41no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—416no—
665C2×SD16#4114yescomplemented
666C2×D8—22no—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C22×C8—22no—
679C22×C8—22no—
680C22×C8—22no—
681C22×C8—22no—
682C22×C8—22no—
683C22×C8—22no—
684C22×C8—41no—
685C22×C8—41no—
686C22×C8—41no—
687C22×C8—41no—
688C22×C8—41no—
689C22×C8—41no—
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C4⋊Q8—28no—
699C4⋊Q8—22no—
700C4⋊Q8—22no—
701#127—28no—
702#127—22no—
703#127—22no—
704#126—28no—
705#126—28no—
706#126—28no—
707#126—28no—
708#126—28no—
709#126—28no—
710#125—28no—
711#125—28no—
712#125—22no—
713#125—22no—
714#125—22no—
715#125C2×D414yes—
716#124—28no—
717#124—28no—
718#124—28no—
719#124—28no—
720#124—22no—
721#124—22no—
722#124—28no—
723#124—22no—
724#124—22no—
725#124—22no—
726#124C2×D414yes—
727#123—28no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—28no—
732#123—28no—
733#123—44no—
734#123—82no—
735C22⋊Q8—28no—
736C22⋊Q8—22no—
737C22⋊Q8—22no—
738C22⋊Q8—28no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—41no—
743C22⋊Q8—41no—
744C22⋊Q8C2×D414yes—
745#121—28no—
746#121—28no—
747#121—28no—
748#121—28no—
749#121—28no—
750#121—28no—
751#121—28no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—41no—
761#121—44no—
762#121—41no—
763#121—41no—
764#121C2×D414yes—
765#121C2×D414yes—
766#121C2×D414yes—
767#120—44no—
768#120—44no—
769C4×Q8—28no—
770C4×Q8—28no—
771C4×Q8—28no—
772C4×Q8—28no—
773C4×Q8—22no—
774C4×Q8—22no—
775C4×Q8—22no—
776C4×Q8—22no—
777C4×Q8—22no—
778C4×Q8—24no—
779C4×Q8—22no—
780C4×Q8—22no—
781C4×Q8—22no—
782C4×Q8—22no—
783C4×Q8—22no—
784C4×Q8—22no—
785C4×Q8—22no—
786C4×Q8—22no—
787C4×Q8C2×D414yes—
788C4×D4—28no—
789C4×D4—28no—
790C4×D4—28no—
791C4×D4—28no—
792C4×D4—28no—
793C4×D4—28no—
794C4×D4—28no—
795C4×D4—28no—
796C4×D4—28no—
797C4×D4—28no—
798C4×D4—28no—
799C4×D4—24no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—22no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—24no—
813C4×D4—24no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—82no—
818C4×D4C2×D414yes—
819C4×D4C2×D414yes—
820C4×D4C2×D414yes—
821#117—28no—
822#117—28no—
823#117—28no—
824#117—28no—
825#117—22no—
826#117—24no—
827#117—22no—
828#117—22no—
829#117—24no—
830#117—24no—
831#117—41no—
832#117—41no—
833#117C2×D414yes—
834C2×C4⋊C4—28no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—22no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—41no—
857C2×C4⋊C4—41no—
858C2×C4⋊C4C2×D411yescharacteristic
859C2×C4⋊C4C2×D411yescharacteristic
860C2×C4⋊C4C2×D411yescharacteristic
861C2×C4⋊C4C2×D411yescharacteristic
862C2×C4⋊C4C2×D411yescharacteristic
863C2×C4⋊C4C2×D414yes—
864C2×C4⋊C4C2×D411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—44no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4—82no—
917C2×C22⋊C4C2×D411yescharacteristic
918C2×C22⋊C4C2×D411yescharacteristic
919C2×C22⋊C4C2×D411yescharacteristic
920C2×C22⋊C4C2×D411yescharacteristic
921C2×C22⋊C4C2×D411yescharacteristic
922C2×C22⋊C4C2×D411yescharacteristic
923C2×C42—28no—
924C2×C42—28no—
925C2×C42—28no—
926C2×C42—21no—
927C2×C42—21no—
928C2×C42—21no—
929C2×C42—21no—
930C2×C42—21no—
931C2×C42—21no—
932C2×C42—21no—
933C2×C42—21no—
934C2×C42—22no—
935C2×C42—22no—
936C2×C42—22no—
937C2×C42—22no—
938C2×C42—22no—
939C2×C42—22no—
940C2×C42—21no—
941C2×C42—21no—
942C2×C42C2×D411yescharacteristic
943C2×C42C2×D411yescharacteristic
944C2×C42C2×D411yescharacteristic
945C2×C42C2×D411yescharacteristic
946C2×C42C2×D411yescharacteristic
947C2×C42C2×D411yescharacteristic
948C2×C42C2411yescharacteristic
949C2×C42C2411yescharacteristic
950C2×C42C2411yescharacteristic
951C2×C42C2411yescharacteristic
952#107—22no—
953#107—22no—
954#106—22no—
955#106—22no—
956C4⋊C8—22no—
957C4⋊C8—22no—
958#103—22no—
959#103—22no—
960#103—22no—
961#103—22no—
962#103—22no—
963#103—22no—
964#103—22no—
965#103—22no—
966#103—22no—
967#103—22no—
968#103—41no—
969#103—41no—
970#103—41no—
971#103—41no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—22no—
976#102—22no—
977#102—22no—
978#102—22no—
979#102—22no—
980#102—22no—
981#102—22no—
982#102—22no—
983#102—41no—
984#102—41no—
985#102—41no—
986#102—41no—
987#102—41no—
988#102—41no—
989#102—41no—
990C22⋊C8—22no—
991C22⋊C8—22no—
992C22⋊C8—22no—
993C22⋊C8—22no—
994C22⋊C8—22no—
995C22⋊C8—41no—
996C22⋊C8—41no—
997C22⋊C8—41no—
998C4×C8—22no—
999C4×C8—22no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95—21no—
1006#95—21no—
1007#95—21no—
1008#95—21no—
1009#95—21no—
1010#95—21no—
1011#95—21no—
1012#95—21no—
1013#95—21no—
1014#95—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24C22×D411yescharacteristic
1027C24C22×D411yescharacteristic
1028C24C22×D411yescharacteristic
1029#41—28no—
1030#41—44no—
1031#41—416no—
1032#41—44no—
1033#41—44no—
1034#41—432no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—44no—
1041#41—82no—
1042#41—82no—
1043C2×Q8—24no—
1044C2×Q8—24no—
1045C2×Q8—22no—
1046C2×Q8—22no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—28no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—41no—
1063C2×Q8—42no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8C22×D412yes—
1071C2×Q8C22×D412yes—
1072C2×Q8C2×#4112yes—
1073C2×Q8H(5,𝔽2)12yes—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—22no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—22no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—41no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4#12014yes—
1147C2×D4C22×D412yes—
1148C2×D4C22×D412yes—
1149C2×D4C2×#4112yes—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4#13514yescomplemented
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D412yes—
1237C22×C4C22×D412yes—
1238C22×C4C22×D412yes—
1239C22×C4C22×D412yes—
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C2511yescharacteristic
1243Q16—44no—
1244Q16—82no—
1245SD16—28no—
1246SD16—44no—
1247SD16—44no—
1248SD16—44no—
1249SD16—44no—
1250SD16—82no—
1251D8—44no—
1252D8—44no—
1253D8—82no—
1254D8—82no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—44no—
1279C2×C8—44no—
1280C2×C8—82no—
1281C2×C8—82no—
1282C2×C8C2×#4112yes—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4#12014yes—
1323C4⋊C4C22×D412yes—
1324C4⋊C4C22×D412yes—
1325C4⋊C4C22×D412yes—
1326C4⋊C4C22×D412yes—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4#12014yes—
1372C22⋊C4#12014yes—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—24no—
1382C42—24no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—21no—
1392C42—21no—
1393C42—81no—
1394C42—81no—
1395C42C22×D412yes—
1396C42C22×D412yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23C2×#12012yes—
1450C23C2×#12012yes—
1451C23C2×#13512yes—
1452C23#57512yes—
1453C23C23×D411yescharacteristic
1454Q8—22no—
1455Q8—22no—
1456Q8—22no—
1457Q8—22no—
1458Q8—22no—
1459Q8—48no—
1460Q8—44no—
1461Q8—48no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—41no—
1467Q8—41no—
1468Q8#54614yes—
1469D4—28no—
1470D4—22no—
1471D4—22no—
1472D4—22no—
1473D4—22no—
1474D4—22no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—48no—
1479D4—48no—
1480D4—44no—
1481D4—48no—
1482D4—48no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—162no—
1500D4—162no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—28no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—82no—
1588C2×C4—82no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—162no—
1592C2×C4—162no—
1593C2×C4C2×#12012yes—
1594C2×C4C2×#12012yes—
1595C2×C4C2×#12012yes—
1596C2×C4C2×#12012yes—
1597C2×C4C2×#13512yes—
1598C2×C4C2×#13512yes—
1599C2×C4C23×D411yescharacteristic
1600C2×C4C23×D411yescharacteristic
1601C2×C4C22×#4111yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C2×C4#58511yescharacteristic
1604C2×C4#58511yescharacteristic
1605C8—22no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—168no—
1662C22#300214yes—
1663C22C22×#12011yescharacteristic
1664C22D4×#4111yescharacteristic
1665C22#348811yescharacteristic
1666C22C22×#13511yescharacteristic
1667C22C2×#57511yescharacteristic
1668C22#358411yescharacteristic
1669C22#358511yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—24no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—42no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4C2×#54611yescharacteristic
1694C4D4×#4111yescharacteristic
1695C4#348511yescharacteristic
1696C4#348811yescharacteristic
1697C2—24no—
1698C2—42no—
1699C2—81no—
1700C2—82no—
1701C2—82no—
1702C2—82no—
1703C2—161no—
1704C2#3621211yescharacteristic
1705C2C2×#300211yescharacteristic
1706C2#6037611yescharacteristic
1707C2#6142811yescharacteristic
1708C2#6145611yescharacteristic
1709C2#6195311yescharacteristic
1710C2#6199211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3480C2semidirect
2. C2×#3297C2semidirect
3. C2×#3282C2semidirect
4. #36360C2semidirect
5. #33010C2semidirect
6. #33006C2semidirect
7. #32910C2semidirect
8. #25937C2semidirect
9. #25635C2semidirect
10. #25601C2semidirect
11. #25540C2semidirect
12. #25535C2semidirect
13. #25500C2semidirect
14. #25495C2semidirect
15. #24435C2semidirect
16. #24431C2semidirect
17. #24334C2semidirect
18. #24192C2semidirect
19. #24159C2semidirect
20. #23968C2semidirect
21. #23963C2semidirect
22. #23938C2semidirect
23. #23930C2semidirect
24. #23858C2semidirect
25. #23857C2semidirect
26. #22488C2semidirect
27. #22469C2semidirect
28. #22416C2semidirect
29. C4×#449C2semidirect
30. #20924C2semidirect
31. C2×#1880C2semidirect
37. C2×#559C22semidirect
38. C2×#557C22semidirect
40. C2×#556C22semidirect
45. C2×#550C22semidirect
53. C2×#529C22semidirect
54. C2×#529C22semidirect
57. C2×C4×#41C22semidirect
58. C2×C4×#41C22semidirect
75. C2×#452C22semidirect
88. C2×#416C22semidirect
112. #2059C22semidirect
113. #2058C22semidirect
114. #2042C22semidirect
115. #2041C22semidirect
116. #2035C22semidirect
117. #2033C22semidirect
118. #2026C22semidirect
121. #2024C22semidirect
124. #2015C22semidirect
125. #2014C22semidirect
130. #2001C22semidirect
133. #2000C22semidirect
136. #1991C22semidirect
137. #1989C22semidirect
138. #1984C22semidirect
139. #1984C22semidirect
140. #1983C22semidirect
141. #1958C22semidirect
144. #1893C22semidirect
145. #1892C22semidirect
162. #1878C22semidirect
163. #1878C22semidirect
164. #1878C22semidirect
165. #1878C22semidirect
166. #1878C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1877C22semidirect
172. #1875C22semidirect
175. #1873C22semidirect
176. #1873C22semidirect
179. #1869C22semidirect
180. #1869C22semidirect
181. #1865C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
185. #1863C22semidirect
186. #1863C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1825C22semidirect
193. #1817C22semidirect
194. #1805C22semidirect
195. #1804C22semidirect
196. #1797C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
200. C4×#103C22semidirect
201. C4×#102C22semidirect
202. C4×C22⋊C8C22semidirect
203. #1735C22semidirect
206. C2×#336C22semidirect
249. #553D4semidirect
255. #548D4semidirect
665. C2×SD16#41semidirect
1226. C22×C4#135semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#32972
C2×#32822
#363602
#330102
#330062
#329102
#259372
#256352
#256012
#255402
#255352
#255002
#254952
#244352
#244312
#243342
#241922
#241592
#239682
#239632
#239382
#239302
#238582
#238572
#224882
#224692
#224162
C4×#4492
#209242
C2×#18802