Finite Group Databasebeta

← #6930217

Subgroups — #6930217

Order 512.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38024C211yesmaximal, characteristic, complemented
2#37614C211yesmaximal, characteristic, complemented
3#32765C211yesmaximal, characteristic, complemented
4#32730C211yesmaximal, characteristic, complemented
5#32675C211yesmaximal, characteristic, complemented
6#32674C211yesmaximal, characteristic, complemented
7#32623C211yesmaximal, characteristic, complemented
8#32596C211yesmaximal, characteristic, complemented
9#30719C211yesmaximal, characteristic, complemented
10#30701C211yesmaximal, characteristic, complemented
11#30515C211yesmaximal, characteristic, complemented
12#30505C211yesmaximal, characteristic, complemented
13#30329C211yesmaximal, characteristic, complemented
14#30251C211yesmaximal, characteristic, complemented
15#30118C211yesmaximal, characteristic, complemented
16#29725C211yesmaximal, characteristic, complemented
17#29625C211yesmaximal, characteristic, complemented
18#28584C211yesmaximal, characteristic, complemented
19#28325C211yesmaximal, characteristic, complemented
20#27860C211yesmaximal, characteristic, complemented
21#27588C211yesmaximal, characteristic, complemented
22#25128C211yesmaximal, characteristic, complemented
23#25112C211yesmaximal, characteristic, complemented
24#24865C211yesmaximal, characteristic, complemented
25#24861C211yesmaximal, characteristic, complemented
26#24272C211yesmaximal, characteristic, complemented
27#24267C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29#23851C211yesmaximal, characteristic, complemented
30C2×#2011C211yesmaximal, characteristic, complemented
31#22470C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C22×#127C2211yescharacteristic
36C2×#529C2211yescharacteristic
37C2×#481C2211yescharacteristic, complemented
38C2×#480C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic, complemented
41C2×#468C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic, complemented
43C2×#466C2211yescharacteristic, complemented
44C2×#465C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic, complemented
47C2×#449C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#435C2211yescharacteristic
52C2×C8×D4C2211yescharacteristic
53C22×#102C2211yescharacteristic
54C22×#102C2211yescharacteristic
55#2855C2211yescharacteristic
56#2818—21no—
57#2818—21no—
58#2707—21no—
59#2705—21no—
60#2691—21no—
61#2676—21no—
62#2657—21no—
63#2641—21no—
64#2624C2211yescharacteristic, complemented
65#2620C2211yescharacteristic, complemented
66#2619C2211yescharacteristic, complemented
67#2619C2211yescharacteristic, complemented
68#2619C2211yescharacteristic, complemented
69#2619C2211yescharacteristic, complemented
70#2613—21no—
71#2613—21no—
72#2592C2211yescharacteristic, complemented
73#2548C2211yescharacteristic, complemented
74#2548C2211yescharacteristic, complemented
75#2541C2211yescharacteristic, complemented
76#2541C2211yescharacteristic, complemented
77#2538C2211yescharacteristic, complemented
78#2534—21no—
79#2437—21no—
80#2435—21no—
81#2433—21no—
82#2424—21no—
83#2417C2211yescharacteristic
84#2416C2211yescharacteristic, complemented
85#2412—21no—
86#2408C2211yescharacteristic
87#2408C2211yescharacteristic
88#2408C2211yescharacteristic
89#2408C2211yescharacteristic
90#2408C2211yescharacteristic
91#2407C2211yescharacteristic, complemented
92D4×C4⋊C4C2211yescharacteristic
93#2324C2211yescharacteristic, complemented
94#2311C2211yescharacteristic, complemented
95C2×#390C2211yescharacteristic
96#2283C2211yescharacteristic
97#2101C2211yescharacteristic, complemented
98#2097C2211yescharacteristic, complemented
99#2094C2211yescharacteristic, complemented
100#2093C2211yescharacteristic, complemented
101#2092C2211yescharacteristic, complemented
102#2092C2211yescharacteristic, complemented
103#2085C2211yescharacteristic, complemented
104#2074C2211yescharacteristic, complemented
105#2073C2211yescharacteristic, complemented
106#2073C2211yescharacteristic, complemented
107#2071C2211yescharacteristic, complemented
108#2071C2211yescharacteristic, complemented
109#2067C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2055C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2054C2211yescharacteristic, complemented
116#2054C2211yescharacteristic, complemented
117#2041C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2041C2211yescharacteristic, complemented
120#2041C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2014C2211yescharacteristic, complemented
130#2014C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2012C2211yescharacteristic, complemented
133#2012C2211yescharacteristic, complemented
134#2012C2211yescharacteristic, complemented
135#2011C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1985C2211yescharacteristic, complemented
154#1984C2211yescharacteristic, complemented
155#1973C2211yescharacteristic, complemented
156#1972C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1970C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1968C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1934C2211yescharacteristic, complemented
163#1928C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1926C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1925C2211yescharacteristic, complemented
173#1919C2211yescharacteristic, complemented
174#1918C2211yescharacteristic, complemented
175#1895C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1892C2211yescharacteristic
178#1892C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic, complemented
189#1853C2211yescharacteristic
190#1852C2211yescharacteristic
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic
193#1808C2211yescharacteristic
194#1807C2211yescharacteristic
195#1798C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1750C2211yescharacteristic, complemented
201#1729C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8—42no—
214C22×D8—42no—
215C22×D8—42no—
216C22×D8—42no—
217C22×D8—42no—
218C22×D8—42no—
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#546—42no—
232#546—42no—
233C2×#127—21no—
234C2×#127—21no—
235C2×#127—21no—
236C2×#127—21no—
237C2×#127—42no—
238C2×#127—42no—
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243#529—42no—
244#529—42no—
245C2×#126D411yescharacteristic
246C2×#126D411yescharacteristic
247C2×#125D411yescharacteristic
248C2×#124—21no—
249C2×#124—21no—
250C2×#124D411yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×#123D411yescharacteristic
254C2×#123D411yescharacteristic
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8D411yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×#121—21no—
260C2×#121—21no—
261C2×#121D411yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×C4×Q8C2311yescharacteristic
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C22⋊C4—21no—
290C22×C22⋊C4—21no—
291C22×C22⋊C4—21no—
292C22×C42C2311yescharacteristic
293#481—42no—
294#480—42no—
295#469—42no—
296#469—42no—
297#468—42no—
298#466—42no—
299#466—42no—
300#465—42no—
301#450—42no—
302#450—42no—
303#449—42no—
304#449—42no—
305#449—42no—
306#449—42no—
307#435—42no—
308C8×D4—42no—
309C2×#107C2311yescharacteristic
310C2×#107C2311yescharacteristic
311C2×#107C2311yescharacteristic
312C2×#107C2311yescharacteristic
313C2×#106C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#102—42no—
324C2×#102—42no—
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×#97C2311yescharacteristic
362C2×C4×C8C2311yescharacteristic
363#399—21no—
364#398—21no—
365#397—21no—
366#397—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396—21no—
372#396—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
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#394—21no—
396#393—21no—
397#392—21no—
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#392—21no—
413#392—21no—
414#392—21no—
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#390—21no—
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#389—21no—
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#388—21no—
444#388—21no—
445#388—21no—
446#387—21no—
447#387—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#384C2311yescharacteristic
460#383—21no—
461#382C2311yescharacteristic
462#382C2311yescharacteristic
463#381—21no—
464#381—21no—
465#380—21no—
466#380—21no—
467#380—21no—
468#380—21no—
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#379—21no—
475#379—21no—
476#379—21no—
477#379—21no—
478#379—21no—
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C22⋊C4—21no—
483#376—21no—
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
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—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C22×Q8C2×D411yescharacteristic
518C22×Q8C2411yescharacteristic
519C22×D4—22no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
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—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—41no—
550C22×D4—41no—
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—44no—
561C22×D4—44no—
562C22×D4—82no—
563C22×D4—82no—
564C22×D4—82no—
565C22×D4—82no—
566C22×D4C2×D411yescharacteristic
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C22×D4C2411yescharacteristic
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4C2×D411yescharacteristic
580C23×C4C2×D411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—22no—
602C2×D8—22no—
603C2×D8—22no—
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—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—416no—
621C2×D8—416no—
622C2×M16—22no—
623C2×M16—41no—
624C2×M16—41no—
625C22×C8—22no—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—22no—
630C22×C8—41no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642#127—41no—
643#127—41no—
644#127—41no—
645#127—41no—
646#127—41no—
647#127—41no—
648#127—41no—
649#127—41no—
650#127—44no—
651#127—44no—
652#127—82no—
653#127—82no—
654#126—42no—
655#126—42no—
656#125—42no—
657#124—42no—
658#124—41no—
659#124—41no—
660#124—82no—
661#124—82no—
662#123—42no—
663#123—42no—
664#123—44no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—42no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—82no—
671#121—22no—
672#121—44no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—42no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—82no—
696#120—44no—
697#120—82no—
698#120—82no—
699#120—82no—
700#120—82no—
701#120—82no—
702C4×Q8—41no—
703C4×Q8—41no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—82no—
713#117—41no—
714#117—41no—
715#117—41no—
716#117—41no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—41no—
727C2×C4⋊C4—41no—
728C2×C4⋊C4—41no—
729C2×C4⋊C4—41no—
730C2×C4⋊C4C2×D411yescharacteristic
731C2×C4⋊C4C2×D411yescharacteristic
732C2×C4⋊C4C2×D411yescharacteristic
733C2×C4⋊C4C2×D411yescharacteristic
734C2×C4⋊C4C2×D411yescharacteristic
735C2×C4⋊C4C2×D411yescharacteristic
736C2×C4⋊C4C2×D411yescharacteristic
737C2×C4⋊C4C2×D411yescharacteristic
738C2×C4⋊C4C2×D411yescharacteristic
739C2×C4⋊C4C2×D411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
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—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—44no—
799C2×C22⋊C4—82no—
800C2×C22⋊C4—82no—
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C42—22no—
812C2×C42—22no—
813C2×C42—21no—
814C2×C42—21no—
815C2×C42—21no—
816C2×C42C2×D411yescharacteristic
817C2×C42C2×D411yescharacteristic
818C2×C42C2411yescharacteristic
819C2×C42C2411yescharacteristic
820C2×C42C2411yescharacteristic
821C2×C42C2411yescharacteristic
822#107—22no—
823#107—41no—
824#107—41no—
825#107—41no—
826#106—22no—
827#106—41no—
828#106—41no—
829#106—41no—
830C4⋊C8—41no—
831C4⋊C8—41no—
832#103—22no—
833#103—22no—
834#103—41no—
835#103—41no—
836#102—22no—
837#102—22no—
838#102—22no—
839#102—22no—
840#102—22no—
841#102—22no—
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—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864C22⋊C8—22no—
865C22⋊C8—22no—
866C22⋊C8—22no—
867C22⋊C8—22no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870C22⋊C8—41no—
871C22⋊C8—41no—
872#97—41no—
873C4×C8—41no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—42no—
902C24—42no—
903C24—42no—
904C24—42no—
905C24—42no—
906C24—42no—
907C24—42no—
908C24—42no—
909C24—42no—
910C24—42no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24C22×D411yescharacteristic
923C24C22×D411yescharacteristic
924C24C22×D411yescharacteristic
925#41—82no—
926#41—82no—
927#41—82no—
928#41—82no—
929C2×Q8—22no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—41no—
937C2×Q8—41no—
938C2×D4—22no—
939C2×D4—22no—
940C2×D4—22no—
941C2×D4—22no—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—22no—
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—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—41no—
987C2×D4—41no—
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—42no—
997C2×D4—42no—
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—42no—
1007C2×D4—42no—
1008C2×D4—82no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—82no—
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—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—816no—
1033C2×D4—816no—
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—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4H(5,𝔽2)12yes—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
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—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—41no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
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×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4H(5,𝔽2)12yes—
1122C22×C4H(5,𝔽2)12yes—
1123C22×C4C2511yescharacteristic
1124SD16—82no—
1125SD16—82no—
1126SD16—82no—
1127SD16—82no—
1128D8—44no—
1129D8—44no—
1130D8—44no—
1131D8—44no—
1132D8—44no—
1133D8—44no—
1134D8—44no—
1135D8—44no—
1136M16—82no—
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—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—44no—
1160C2×C8—44no—
1161C2×C8—82no—
1162C2×C8H(5,𝔽2)12yes—
1163C2×C8H(5,𝔽2)12yes—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
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—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—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—81no—
1195C4⋊C4—81no—
1196C4⋊C4—81no—
1197C4⋊C4—81no—
1198C4⋊C4—81no—
1199C4⋊C4—81no—
1200C4⋊C4—81no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
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—81no—
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—
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—
1260C42—22no—
1261C42—22no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—42no—
1271C42—42no—
1272C42—81no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—22no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
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—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—84no—
1334C23—84no—
1335C23—84no—
1336C23—84no—
1337C23—84no—
1338C23—84no—
1339C23—84no—
1340C23—84no—
1341C23—84no—
1342C23—84no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23#53412yes—
1355C23#57612yes—
1356C23#57712yes—
1357C23C23×D411yescharacteristic
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—82no—
1363D4—22no—
1364D4—22no—
1365D4—44no—
1366D4—44no—
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—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—82no—
1390D4—84no—
1391D4—84no—
1392D4—84no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
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—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—44no—
1449C2×C4—44no—
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—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—84no—
1489C2×C4—162no—
1490C2×C4—162no—
1491C2×C4—162no—
1492C2×C4#53412yes—
1493C2×C4#57612yes—
1494C2×C4C2×H(5,𝔽2)11yescharacteristic
1495C2×C4C2×H(5,𝔽2)11yescharacteristic
1496C2×C4C2×H(5,𝔽2)11yescharacteristic
1497C2×C4C2×H(5,𝔽2)11yescharacteristic
1498C2×C4C2×H(5,𝔽2)11yescharacteristic
1499C2×C4#58511yescharacteristic
1500C8—22no—
1501C8—22no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—41no—
1515C22—41no—
1516C22—42no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—42no—
1524C22—41no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
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—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—168no—
1571C22—168no—
1572C22—168no—
1573C22#319814yes—
1574C22C2×#53411yescharacteristic
1575C22#348811yescharacteristic
1576C22#349811yescharacteristic
1577C22C2×#57611yescharacteristic
1578C22C2×#57611yescharacteristic
1579C22C2×#57711yescharacteristic
1580C22#358511yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4#353211yescharacteristic
1603C4#353211yescharacteristic
1604C4#354211yescharacteristic
1605C4#354211yescharacteristic
1606C2—24no—
1607C2—81no—
1608C2—81no—
1609C2—82no—
1610C2—161no—
1611C2—161no—
1612C2—161no—
1613C2—161no—
1614C2—161no—
1615C2#4193211yescharacteristic
1616C2C2×#319811yescharacteristic
1617C2#6075611yescharacteristic
1618C2#6200711yescharacteristic
1619C2#6205311yescharacteristic
1620C2#6243111yescharacteristic
1621C2#6245711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38024C2semidirect
2. #37614C2semidirect
3. #32765C2semidirect
4. #32730C2semidirect
5. #32675C2semidirect
6. #32674C2semidirect
7. #32623C2semidirect
8. #32596C2semidirect
9. #30719C2semidirect
10. #30701C2semidirect
11. #30515C2semidirect
12. #30505C2semidirect
13. #30329C2semidirect
14. #30251C2semidirect
15. #30118C2semidirect
16. #29725C2semidirect
17. #29625C2semidirect
18. #28584C2semidirect
19. #28325C2semidirect
20. #27860C2semidirect
21. #27588C2semidirect
22. #25128C2semidirect
23. #25112C2semidirect
24. #24865C2semidirect
25. #24861C2semidirect
26. #24272C2semidirect
27. #24267C2semidirect
28. #23851C2semidirect
29. #23851C2semidirect
30. C2×#2011C2semidirect
31. #22470C2semidirect
37. C2×#481C22semidirect
38. C2×#480C22semidirect
39. C2×#469C22semidirect
40. C2×#469C22semidirect
41. C2×#468C22semidirect
42. C2×#466C22semidirect
43. C2×#466C22semidirect
44. C2×#465C22semidirect
45. C2×#449C22semidirect
46. C2×#449C22semidirect
47. C2×#449C22semidirect
48. C2×#449C22semidirect
64. #2624C22semidirect
65. #2620C22semidirect
66. #2619C22semidirect
67. #2619C22semidirect
68. #2619C22semidirect
69. #2619C22semidirect
72. #2592C22semidirect
73. #2548C22semidirect
74. #2548C22semidirect
75. #2541C22semidirect
76. #2541C22semidirect
77. #2538C22semidirect
84. #2416C22semidirect
91. #2407C22semidirect
93. #2324C22semidirect
94. #2311C22semidirect
97. #2101C22semidirect
98. #2097C22semidirect
99. #2094C22semidirect
100. #2093C22semidirect
101. #2092C22semidirect
102. #2092C22semidirect
103. #2085C22semidirect
104. #2074C22semidirect
105. #2073C22semidirect
106. #2073C22semidirect
107. #2071C22semidirect
108. #2071C22semidirect
109. #2067C22semidirect
110. #2065C22semidirect
111. #2055C22semidirect
112. #2055C22semidirect
113. #2054C22semidirect
114. #2054C22semidirect
115. #2054C22semidirect
116. #2054C22semidirect
117. #2041C22semidirect
118. #2041C22semidirect
119. #2041C22semidirect
120. #2041C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
129. #2014C22semidirect
130. #2014C22semidirect
131. #2012C22semidirect
132. #2012C22semidirect
133. #2012C22semidirect
134. #2012C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1985C22semidirect
154. #1984C22semidirect
155. #1973C22semidirect
156. #1972C22semidirect
157. #1972C22semidirect
158. #1970C22semidirect
159. #1970C22semidirect
160. #1968C22semidirect
161. #1936C22semidirect
162. #1934C22semidirect
163. #1928C22semidirect
164. #1927C22semidirect
165. #1926C22semidirect
166. #1926C22semidirect
167. #1926C22semidirect
168. #1926C22semidirect
169. #1925C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1925C22semidirect
173. #1919C22semidirect
174. #1918C22semidirect
175. #1895C22semidirect
176. #1893C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1874C22semidirect
184. #1874C22semidirect
185. #1870C22semidirect
188. #1869C22semidirect
191. #1818C22semidirect
195. #1798C22semidirect
200. #1750C22semidirect
201. #1729C22semidirect

Maximal subgroups

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

subgroupindex
#380242
#376142
#327652
#327302
#326752
#326742
#326232
#325962
#307192
#307012
#305152
#305052
#303292
#302512
#301182
#297252
#296252
#285842
#283252
#278602
#275882
#251282
#251122
#248652
#248612
#242722
#242672
#238512
C2×#20112
#224702