Finite Group Databasebeta

← #7305044

Subgroups — #7305044

Order 512.

2063 conjugacy classes of subgroups.

The subgroup lattice has 1613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44927C211yesmaximal, characteristic, complemented
2#42586C211yesmaximal, characteristic, complemented
3#32162C211yesmaximal, characteristic, complemented
4#32035C211yesmaximal, characteristic, complemented
5#31496C211yesmaximal, characteristic, complemented
6#31286C211yesmaximal, characteristic, complemented
7#31264C211yesmaximal, characteristic, complemented
8#31063C211yesmaximal, characteristic, complemented
9#31020C211yesmaximal, characteristic, complemented
10#30919C211yesmaximal, characteristic, complemented
11#30890C211yesmaximal, characteristic, complemented
12#30549C211yesmaximal, characteristic, complemented
13#30499C211yesmaximal, characteristic, complemented
14#30396C211yesmaximal, characteristic, complemented
15#30030C211yesmaximal, characteristic, complemented
16#29630C211yesmaximal, characteristic, complemented
17#29422C211yesmaximal, characteristic, complemented
18#27086C211yesmaximal, characteristic, complemented
19#26954C211yesmaximal, characteristic, complemented
20#26900C211yesmaximal, characteristic, complemented
21#25891C211yesmaximal, characteristic, complemented
22#25152C211yesmaximal, characteristic, complemented
23#25087C211yesmaximal, characteristic, complemented
24#24435C211yesmaximal, characteristic, complemented
25#24354C211yesmaximal, characteristic, complemented
26#24238C211yesmaximal, characteristic, complemented
27#24218C211yesmaximal, characteristic, complemented
28#24037C211yesmaximal, characteristic, complemented
29#23851C211yesmaximal, characteristic, complemented
30#23848C211yesmaximal, characteristic, complemented
31#23330C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#535C2211yescharacteristic, complemented
37C2×#490C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#478C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic, complemented
41C2×#466C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic, complemented
50C2×#447C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#447C2211yescharacteristic
53C2×#447C2211yescharacteristic, complemented
54C2×C4×SD16C2211yescharacteristic, complemented
55C2×#416C2211yescharacteristic, complemented
56#2826—21no—
57#2741—21no—
58#2714—21no—
59#2685—21no—
60#2685—21no—
61#2678—21no—
62#2675—21no—
63#2669—21no—
64#2669—21no—
65#2648—21no—
66#2624C2211yescharacteristic, complemented
67#2617—21no—
68#2562C2211yescharacteristic
69#2541C2211yescharacteristic
70#2541C2211yescharacteristic, complemented
71#2537C2211yescharacteristic, complemented
72#2512C2211yescharacteristic, complemented
73#2496C2211yescharacteristic, complemented
74#2490C2211yescharacteristic, complemented
75#2485C2211yescharacteristic, complemented
76#2480—21no—
77#2464—21no—
78#2454C2211yescharacteristic, complemented
79#2433—21no—
80#2433C2211yescharacteristic
81#2431C2211yescharacteristic, complemented
82#2428C2211yescharacteristic, complemented
83#2426C2211yescharacteristic
84#2424—21no—
85#2414C2211yescharacteristic, complemented
86#2410—21no—
87#2408C2211yescharacteristic
88#2408C2211yescharacteristic, complemented
89#2408C2211yescharacteristic, complemented
90#2407C2211yescharacteristic
91#2392C2211yescharacteristic
92#2367C2211yescharacteristic, complemented
93#2363C2211yescharacteristic, complemented
94D4×C22⋊C4C2211yescharacteristic, complemented
95#2324C2211yescharacteristic, complemented
96#2324C2211yescharacteristic, complemented
97#2093C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2076C2211yescharacteristic, complemented
100#2075C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2041C2211yescharacteristic, complemented
116#2036C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2026C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic, complemented
133#2011C2211yescharacteristic
134#2011C2211yescharacteristic
135#2011C2211yescharacteristic
136#2011C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1973C2211yescharacteristic, complemented
149#1972C2211yescharacteristic, complemented
150#1970C2211yescharacteristic, complemented
151#1957C2211yescharacteristic, complemented
152#1955C2211yescharacteristic
153#1954C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1921C2211yescharacteristic, complemented
163#1921C2211yescharacteristic, complemented
164#1919C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1893C2211yescharacteristic
168#1893C2211yescharacteristic, complemented
169#1893C2211yescharacteristic, complemented
170#1892C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8—42no—
212C22×D8—42no—
213C22×D8—42no—
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#550—42no—
225#550—42no—
226#546—42no—
227#546—42no—
228D42—42no—
229D42—42no—
230#535—42no—
231#535—42no—
232C2×#127—21no—
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#126—21no—
239C2×#126—21no—
240C2×#125C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#123—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×C4×Q8C2311yescharacteristic
276C2×C4×D4—21no—
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C22×C22⋊C4—21no—
287C22×C22⋊C4—21no—
288#490—42no—
289#482—42no—
290#478—42no—
291#466—42no—
292#466—42no—
293#463—42no—
294#459—42no—
295#459—42no—
296#450—42no—
297#449—42no—
298#449—42no—
299#449—42no—
300#449—42no—
301#447—42no—
302#447—42no—
303#447—42no—
304#447—42no—
305C4×SD16—42no—
306C2×#107C2311yescharacteristic
307C2×#107C2311yescharacteristic
308C2×#107C2311yescharacteristic
309C2×#107C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×#106C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×C4⋊C8C2311yescharacteristic
316#416—42no—
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×#97C2311yescharacteristic
364C2×C4×C8C2311yescharacteristic
365#400—21no—
366#400—21no—
367#399—21no—
368#399—21no—
369#398D411yescharacteristic
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397D411yescharacteristic
376#396—21no—
377#396—21no—
378#396—21no—
379#396D411yescharacteristic
380#396D411yescharacteristic
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—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#394D411yescharacteristic
396#394D411yescharacteristic
397#394D411yescharacteristic
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392D411yescharacteristic
413#391C2311yescharacteristic
414#390—21no—
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#387—21no—
449#387—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#384C2311yescharacteristic
465#380—21no—
466#380—21no—
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#379—21no—
475#379—21no—
476#379—21no—
477#379—21no—
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C22⋊C4—21no—
483C4×C22⋊C4—21no—
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C25—21no—
510C25—21no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—22no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C22×Q8C2411yescharacteristic
524C22×D4—21no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×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×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—44no—
566C22×D4—82no—
567C22×D4—82no—
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2×D411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×D8—22no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—416no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8—41no—
622C22×C8—41no—
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631#127—22no—
632#127—22no—
633#127—22no—
634#127—41no—
635#127—41no—
636#127—41no—
637#127—41no—
638#127—41no—
639#127—44no—
640#127—82no—
641#126—82no—
642#126—82no—
643#125—41no—
644#125—41no—
645#124—22no—
646#124—22no—
647#124—22no—
648#124—41no—
649#123—44no—
650C22⋊Q8—22no—
651C22⋊Q8—41no—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—44no—
660#121—44no—
661#121—44no—
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—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—82no—
679#121—82no—
680#121—82no—
681#121—82no—
682#120—44no—
683#120—44no—
684#120—44no—
685#120—44no—
686#120—44no—
687#120—82no—
688#120—82no—
689#120—82no—
690#120—82no—
691#120—82no—
692C4×Q8—22no—
693C4×Q8—41no—
694C4×D4—22no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—44no—
709#117—41no—
710#117—41no—
711#117—41no—
712#117—41no—
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—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2×D411yescharacteristic
730C2×C4⋊C4C2×D411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
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—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—44no—
788C2×C22⋊C4—82no—
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—21no—
804C2×C42—21no—
805C2×C42—21no—
806C2×C42C2411yescharacteristic
807C2×C42C2411yescharacteristic
808C2×C42C2411yescharacteristic
809C2×C42C2411yescharacteristic
810#107—22no—
811#107—41no—
812#107—41no—
813#107—41no—
814#106—22no—
815#106—41no—
816C4⋊C8—41no—
817C4⋊C8—41no—
818C4⋊C8—41no—
819C4⋊C8—41no—
820#103—22no—
821#103—22no—
822#103—41no—
823#103—41no—
824#103—41no—
825#103—41no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
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#102—41no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856C22⋊C8—41no—
857C22⋊C8—41no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865C22⋊C8—41no—
866#97—41no—
867C4×C8—41no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890#95C2×D411yescharacteristic
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—42no—
898C24—42no—
899C24—42no—
900C24—42no—
901C24—42no—
902C24—42no—
903C24—42no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920C24C22×D411yescharacteristic
921#41—44no—
922#41—82no—
923#41—82no—
924#41—82no—
925#41—82no—
926#41—82no—
927#41—82no—
928#41—82no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8H(5,𝔽2)12yes—
935C2×D4—22no—
936C2×D4—24no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—41no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—82no—
1028C2×D4—82no—
1029C2×D4—82no—
1030C2×D4—82no—
1031C2×D4—82no—
1032C2×D4—82no—
1033C2×D4—82no—
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—816no—
1059C2×D4H(5,𝔽2)12yes—
1060C2×D4H(5,𝔽2)12yes—
1061C2×D4H(5,𝔽2)12yes—
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—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
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—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4C22×D411yescharacteristic
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C2511yescharacteristic
1120SD16—44no—
1121SD16—82no—
1122D8—44no—
1123D8—44no—
1124D8—44no—
1125D8—44no—
1126D8—82no—
1127D8—82no—
1128D8—82no—
1129D8—82no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×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—44no—
1155C2×C8—82no—
1156C4⋊C4—22no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—81no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C4⋊C4H(5,𝔽2)12yes—
1192C22⋊C4—24no—
1193C22⋊C4—24no—
1194C22⋊C4—24no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
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—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
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—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—21no—
1257C42—21no—
1258C42—21no—
1259C42—42no—
1260C42—81no—
1261C42—81no—
1262C42—81no—
1263C42—81no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—22no—
1275C23—22no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—22no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
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—84no—
1327C23—84no—
1328C23—84no—
1329C23—84no—
1330C23—84no—
1331C23—84no—
1332C23—84no—
1333C23—162no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23—162no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23#57612yes—
1348C23C23×D411yescharacteristic
1349Q8—22no—
1350Q8—22no—
1351Q8—41no—
1352Q8—41no—
1353D4—22no—
1354D4—22no—
1355D4—22no—
1356D4—22no—
1357D4—22no—
1358D4—22no—
1359D4—44no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
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—82no—
1379D4—84no—
1380D4—82no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—84no—
1387D4—84no—
1388D4—84no—
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—
1402D4—162no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
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—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
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—84no—
1478C2×C4—84no—
1479C2×C4—84no—
1480C2×C4—162no—
1481C2×C4—162no—
1482C2×C4—162no—
1483C2×C4#57612yes—
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C2×C4C2×H(5,𝔽2)11yescharacteristic
1486C2×C4C2×H(5,𝔽2)11yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C2×C4C2×H(5,𝔽2)11yescharacteristic
1489C2×C4#58511yescharacteristic
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—42no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—42no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
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—168no—
1562C22—168no—
1563C22—168no—
1564C22#348411yescharacteristic
1565C22#348411yescharacteristic
1566C22#348811yescharacteristic
1567C22C2×#57611yescharacteristic
1568C22C2×#57611yescharacteristic
1569C22#358411yescharacteristic
1570C22#358511yescharacteristic
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4#353211yescharacteristic
1593C4#353411yescharacteristic
1594C4#353711yescharacteristic
1595C4#355811yescharacteristic
1596C2—42no—
1597C2—81no—
1598C2—81no—
1599C2—82no—
1600C2—82no—
1601C2—82no—
1602C2—161no—
1603C2—161no—
1604C2—161no—
1605C2#4783811yescharacteristic
1606C2#6160911yescharacteristic
1607C2#6163911yescharacteristic
1608C2#6163911yescharacteristic
1609C2#6168811yescharacteristic
1610C2#6202411yescharacteristic
1611C2#6205111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44927C2semidirect
2. #42586C2semidirect
3. #32162C2semidirect
4. #32035C2semidirect
5. #31496C2semidirect
6. #31286C2semidirect
7. #31264C2semidirect
8. #31063C2semidirect
9. #31020C2semidirect
10. #30919C2semidirect
11. #30890C2semidirect
12. #30549C2semidirect
13. #30499C2semidirect
14. #30396C2semidirect
15. #30030C2semidirect
16. #29630C2semidirect
17. #29422C2semidirect
18. #27086C2semidirect
19. #26954C2semidirect
20. #26900C2semidirect
21. #25891C2semidirect
22. #25152C2semidirect
23. #25087C2semidirect
24. #24435C2semidirect
25. #24354C2semidirect
26. #24238C2semidirect
27. #24218C2semidirect
28. #24037C2semidirect
29. #23851C2semidirect
30. #23848C2semidirect
31. #23330C2semidirect
33. C2×#550C22semidirect
36. C2×#535C22semidirect
37. C2×#490C22semidirect
38. C2×#482C22semidirect
39. C2×#478C22semidirect
40. C2×#466C22semidirect
41. C2×#466C22semidirect
42. C2×#463C22semidirect
44. C2×#459C22semidirect
45. C2×#449C22semidirect
46. C2×#449C22semidirect
47. C2×#449C22semidirect
48. C2×#449C22semidirect
49. C2×#450C22semidirect
53. C2×#447C22semidirect
54. C2×C4×SD16C22semidirect
55. C2×#416C22semidirect
66. #2624C22semidirect
70. #2541C22semidirect
71. #2537C22semidirect
72. #2512C22semidirect
73. #2496C22semidirect
74. #2490C22semidirect
75. #2485C22semidirect
78. #2454C22semidirect
81. #2431C22semidirect
82. #2428C22semidirect
85. #2414C22semidirect
88. #2408C22semidirect
89. #2408C22semidirect
92. #2367C22semidirect
93. #2363C22semidirect
94. D4×C22⋊C4C22semidirect
95. #2324C22semidirect
96. #2324C22semidirect
97. #2093C22semidirect
98. #2088C22semidirect
99. #2076C22semidirect
100. #2075C22semidirect
101. #2071C22semidirect
102. #2067C22semidirect
103. #2065C22semidirect
104. #2065C22semidirect
105. #2055C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
111. #2042C22semidirect
112. #2041C22semidirect
113. #2041C22semidirect
114. #2041C22semidirect
115. #2041C22semidirect
116. #2036C22semidirect
117. #2035C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
123. #2033C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2026C22semidirect
129. #2025C22semidirect
132. #2012C22semidirect
136. #2011C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1983C22semidirect
146. #1982C22semidirect
147. #1982C22semidirect
148. #1973C22semidirect
149. #1972C22semidirect
150. #1970C22semidirect
151. #1957C22semidirect
153. #1954C22semidirect
154. #1934C22semidirect
155. #1928C22semidirect
156. #1925C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1924C22semidirect
161. #1923C22semidirect
162. #1921C22semidirect
163. #1921C22semidirect
164. #1919C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
168. #1893C22semidirect
169. #1893C22semidirect
170. #1892C22semidirect
171. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
182. #1869C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1863C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1850C22semidirect
190. #1850C22semidirect
191. #1818C22semidirect
192. #1803C22semidirect
193. #1798C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#449272
#425862
#321622
#320352
#314962
#312862
#312642
#310632
#310202
#309192
#308902
#305492
#304992
#303962
#300302
#296302
#294222
#270862
#269542
#269002
#258912
#251522
#250872
#244352
#243542
#242382
#242182
#240372
#238512
#238482
#233302