Finite Group Databasebeta

← #25988658

Subgroups — #25988658

Order 11008.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149007C211yesmaximal, characteristic, complemented
2#19148485C211yesmaximal, characteristic, complemented
3#19147680C211yesmaximal, characteristic, complemented
4#19147679C211yesmaximal, characteristic, complemented
5#19147677C211yesmaximal, characteristic, complemented
6#19147671C211yesmaximal, characteristic, complemented
7#19147664C211yesmaximal, characteristic, complemented
8#19147659C211yesmaximal, characteristic, complemented
9#19147654C211yesmaximal, characteristic, complemented
10#19147411C211yesmaximal, characteristic, complemented
11#19147404C211yesmaximal, characteristic, complemented
12#19147388C211yesmaximal, characteristic, complemented
13#19147385C211yesmaximal, characteristic, complemented
14#19147336C211yesmaximal, characteristic, complemented
15#19147331C211yesmaximal, characteristic, complemented
16#19147317C211yesmaximal, characteristic, complemented
17#19147308C211yesmaximal, characteristic, complemented
18#19145703C211yesmaximal, characteristic, complemented
19#19145699C211yesmaximal, characteristic, complemented
20#19145688C211yesmaximal, characteristic, complemented
21#19145682C211yesmaximal, characteristic, complemented
22#19145596C211yesmaximal, characteristic, complemented
23#19145577C211yesmaximal, characteristic, complemented
24#19144823C211yesmaximal, characteristic, complemented
25#19144820C211yesmaximal, characteristic, complemented
26#19144777C211yesmaximal, characteristic, complemented
27#19144776C211yesmaximal, characteristic, complemented
28#19144755C211yesmaximal, characteristic, complemented
29#19144745C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3401C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583652—21no—
34#14583635C2211yescharacteristic, complemented
35#14583634C2211yescharacteristic
36#14583634C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583631C2211yescharacteristic
39Q8×Dic86C2211yescharacteristic, complemented
40Q8×Dic86C2211yescharacteristic, complemented
41#14583623C2211yescharacteristic
42#14583621C2211yescharacteristic
43#14583618—21no—
44#14583618C2211yescharacteristic
45#14583618C2211yescharacteristic, complemented
46#14583618C2211yescharacteristic, complemented
47#14583576—21no—
48#14583574—21no—
49#14583574—21no—
50#14583573—21no—
51D4×Dic86—21no—
52D4×Dic86C2211yescharacteristic, complemented
53D4×Dic86C2211yescharacteristic, complemented
54#14583519—21no—
55#14583518—21no—
56#14583518C2211yescharacteristic
57#14583518C2211yescharacteristic
58#14583515—21no—
59#14583514—21no—
60#14583514C2211yescharacteristic
61#14583514C2211yescharacteristic
62#14583474C2211yescharacteristic
63#14583471—21no—
64#14583471—21no—
65#14583467C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583447C2211yescharacteristic
69#14583432—21no—
70#14583427—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583290C2211yescharacteristic
77#14583290C2211yescharacteristic, complemented
78#14583289C2211yescharacteristic
79#14583287C2211yescharacteristic
80#14583286C2211yescharacteristic
81#14583281C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583260C2211yescharacteristic
85#14583260C2211yescharacteristic
86#14583260C2211yescharacteristic, complemented
87#14583259C2211yescharacteristic
88#14583259C2211yescharacteristic, complemented
89#14583258C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583249C2211yescharacteristic, complemented
93#14583248C2211yescharacteristic, complemented
94#14583246C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583243C2211yescharacteristic
97#14583239C2211yescharacteristic
98#14583221C2211yescharacteristic
99#14583221C2211yescharacteristic
100#14583195C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583189C2211yescharacteristic
104#14583188C2211yescharacteristic
105#14583188C2211yescharacteristic, complemented
106#14583184C2211yescharacteristic, complemented
107#14583184C2211yescharacteristic, complemented
108#14583183C2211yescharacteristic, complemented
109#14583180C2211yescharacteristic
110#14583180C2211yescharacteristic, complemented
111#14583177C2211yescharacteristic
112#14583123C2211yescharacteristic
113#14583123C2211yescharacteristic, complemented
114#14583122C2211yescharacteristic
115#14583122C2211yescharacteristic, complemented
116#14583121C2211yescharacteristic
117#14583120C2211yescharacteristic, complemented
118#14583119C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic
123#14583116C2211yescharacteristic
124#14583116C2211yescharacteristic
125#14583116C2211yescharacteristic, complemented
126#14583114C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic
128#14583112C2211yescharacteristic
129#14583112C2211yescharacteristic
130#14583112C2211yescharacteristic
131#14583111C2211yescharacteristic
132#14583107C2211yescharacteristic, complemented
133#14583107C2211yescharacteristic, complemented
134#14583106C2211yescharacteristic, complemented
135#14583103C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583100C2211yescharacteristic
138#14583097C2211yescharacteristic
139#14583094C2211yescharacteristic
140#14583092C2211yescharacteristic
141#14583091C2211yescharacteristic, complemented
142#14583064C2211yescharacteristic
143#14583060C2211yescharacteristic
144#14583056C2211yescharacteristic
145#14583053C2211yescharacteristic
146#14583051C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583043C2211yescharacteristic
149#14583043C2211yescharacteristic
150#14583036C2211yescharacteristic
151#14583036C2211yescharacteristic
152#14583031C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic
162#14583008C2211yescharacteristic, complemented
163#14583008C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14583004C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583001C2211yescharacteristic
168#14583001C2211yescharacteristic, complemented
169#14583000C2211yescharacteristic
170#14583000C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic, complemented
172#14583000C2211yescharacteristic, complemented
173#14582999C2211yescharacteristic, complemented
174#14582997C2211yescharacteristic, complemented
175C4×Dic172C2211yescharacteristic, complemented
176Q16×Dic43C2211yescharacteristic, complemented
177#14582990C2211yescharacteristic, complemented
178C4×#10621883C2211yescharacteristic
179#14582984C2211yescharacteristic
180D8×Dic43C2211yescharacteristic
181C4×#10621882C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic, complemented
189C43×#556C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#461C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#441C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C22×Dic86—21no—
206C22×Dic86—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224#13063325—21no—
225#13063325C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324—21no—
231#13063324—21no—
232#13063324—21no—
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323D411yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063315D411yescharacteristic
259#13063314—21no—
260#13063314C2311yescharacteristic
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063313C2311yescharacteristic
266#13063312—21no—
267#13063312—21no—
268#13063312C2311yescharacteristic
269#13063312C2311yescharacteristic
270#13063312C2311yescharacteristic
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063309—21no—
286#13063309—21no—
287#13063309—21no—
288#13063308—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063307—21no—
293#13063306—21no—
294#13063306—21no—
295#13063305—21no—
296#13063305D411yescharacteristic
297#13063305C2311yescharacteristic
298#13063304—21no—
299#13063304—21no—
300#13063304—21no—
301#13063304—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303D411yescharacteristic
307#13063303D411yescharacteristic
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063301D411yescharacteristic
318#13063301C2311yescharacteristic
319#13063298—21no—
320#13063298—21no—
321#13063296—21no—
322#13063296C2311yescharacteristic
323#13063296C2311yescharacteristic
324#13063295—21no—
325#13063295—21no—
326Q8×Dic43—21no—
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290C2311yescharacteristic
343C4×D172—21no—
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43—21no—
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287—21no—
355#13063287—21no—
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282C2311yescharacteristic
370#13063282C2311yescharacteristic
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C42×D43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063256C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43—21no—
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500C22×Dic43—21no—
501#10621902—41no—
502#10621902—41no—
503Q8×D43—41no—
504Q8×D43—41no—
505#10621900—82no—
506D4×D43—41no—
507D4×D43—41no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172C2411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43C2×D411yescharacteristic
520C2×C4×D43C2×D411yescharacteristic
521C2×C4×D43C2411yescharacteristic
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—82no—
530C2×Dic86—82no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538SD16×C43—41no—
539SD16×C43—41no—
540SD16×C43—41no—
541SD16×C43—41no—
542SD16×C43—41no—
543D8×C43—41no—
544D8×C43—41no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589#10621885—41no—
590#10621885—41no—
591#10621885—41no—
592#10621884—41no—
593#10621884—41no—
594#10621883—41no—
595#10621883—41no—
596#10621883—41no—
597#10621882—41no—
598#10621882—41no—
599#10621882—41no—
600#10621882—41no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679Dic172—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—41no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—42no—
705D4×C43—81no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—42no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—42no—
733C2×Dic43—42no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744D172—21no—
745D172—21no—
746D172—21no—
747D172—21no—
748D172—42no—
749D172—81no—
750D172—81no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—41no—
754C4×D43—41no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761Dic86—21no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—41no—
766Dic86—41no—
767Dic86—41no—
768Dic86—42no—
769Dic86—42no—
770Dic86—81no—
771Dic86—81no—
772Dic86—81no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61944—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—162no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43#58511yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3550—431no—
831#3510—431no—
832#3403—431no—
833#3403—431no—
834#3402—431no—
835#3402—431no—
836#3401—431no—
837#3401—431no—
838#3401—431no—
839#3401D4311yescharacteristic, complemented
840#3375—431no—
841#3375—431no—
842#3373—431no—
843#3373—431no—
844#3369—431no—
845#3369—431no—
846#3367—431no—
847#3367—431no—
848#3225—431no—
849#3225—431no—
850#3224—431no—
851#3224—431no—
852#3215—431no—
853#3213—431no—
854#3121—431no—
855#3121—431no—
856#3118—431no—
857#3118—431no—
858#3116—431no—
859#3115—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43#348711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—41no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#559—431no—
877#559C2×D4311yescharacteristic, complemented
878Q82—431no—
879Q82—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—861no—
886#556C2×D4311yescharacteristic
887#551—861no—
888#551—861no—
889#551—861no—
890#551—861no—
891D4×Q8—431no—
892D4×Q8—431no—
893D4×Q8—861no—
894#542—431no—
895#542—431no—
896#542—431no—
897#542—431no—
898#542—861no—
899#542—861no—
900#542—861no—
901#542—861no—
902#536—431no—
903#536—861no—
904#536—861no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—861no—
910#529—861no—
911C2×#124—431no—
912#519—431no—
913#518—431no—
914C4×#41—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497C2×D4311yescharacteristic, complemented
919#496—431no—
920#496—431no—
921#496—431no—
922#496C2×D4311yescharacteristic
923#495—431no—
924#495—431no—
925#495—431no—
926#495C2×D4311yescharacteristic
927#489—431no—
928#489—431no—
929#489—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489—431no—
935#487—431no—
936#487—431no—
937#486—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#482—431no—
942#482—431no—
943#477—431no—
944#477—431no—
945#477—431no—
946#476—431no—
947#476—431no—
948#476—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#474—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#464—431no—
965#464C2×D4311yescharacteristic
966#464C2×D4311yescharacteristic, complemented
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463—431no—
977#463C2×D4311yescharacteristic
978#463C2×D4311yescharacteristic
979#462—431no—
980#462—431no—
981#462—431no—
982#461—431no—
983#461—431no—
984#461C2×D4311yescharacteristic, complemented
985#460—431no—
986#460—431no—
987#460C2×D4311yescharacteristic, complemented
988#459—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#451—431no—
994#451—431no—
995#450—431no—
996#450—431no—
997#449—431no—
998#449—431no—
999#448—431no—
1000#448—431no—
1001#447—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446C2×D4311yescharacteristic, complemented
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#442C2×D4311yescharacteristic
1015#441—431no—
1016#441—431no—
1017#441—431no—
1018#441C2×D4311yescharacteristic, complemented
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440—431no—
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#432—431no—
1040#432—431no—
1041C43#6194411yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C22×Q8—431no—
1045C22×Q8—861no—
1046C22×Q8—861no—
1047C22×D4—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16C22×D4311yescharacteristic
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16C22×D4311yescharacteristic
1062C2×SD16C22×D4311yescharacteristic
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8C22×D4311yescharacteristic
1071C2×D8C22×D4311yescharacteristic
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8—861no—
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—431no—
1091#127C22×D4311yescharacteristic
1092#126—21no—
1093#126—21no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—861no—
1111#124—21no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#124C22×D4311yescharacteristic
1134#124C22×D4311yescharacteristic
1135#124C22×D4311yescharacteristic
1136#123—21no—
1137#123—21no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154C22⋊Q8—21no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4C22×D4311yescharacteristic
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—21no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C42—431no—
1248C2×C42—861no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—1721no—
1320#41—1721no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—861no—
1333C2×Q8—3442no—
1334C2×Q8—3442no—
1335C2×Q8—1721no—
1336C2×Q8—1721no—
1337C2×Q8D4×D4311yescharacteristic
1338C2×Q8C23×D4311yescharacteristic
1339C2×Q8C23×D4311yescharacteristic
1340C2×Q8C23×D4311yescharacteristic
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C2×D4C23×D4311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375Q16—41no—
1376Q16—41no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—41no—
1385SD16—41no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393D8—41no—
1394D8—41no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4D4×D4311yescharacteristic
1451C4⋊C4D4×D4311yescharacteristic
1452C4⋊C4D4×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—431no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—41no—
1537Q8—861no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—3441no—
1545Q8—3441no—
1546Q8—1721no—
1547Q8—1721no—
1548Q8—1721no—
1549Q8—1722no—
1550Q8—1722no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—21no—
1556D4—21no—
1557D4—42no—
1558D4—81no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—6882no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373411yescharacteristic
1667C4#1458373511yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—81no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914824811yescharacteristic
1675C2#1914937311yescharacteristic
1676C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3401C2
socleC22×C43C23×D4
hypercenter#3401D43
hypocenterC43#61944
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #19149007C2semidirect
2. #19148485C2semidirect
3. #19147680C2semidirect
4. #19147679C2semidirect
5. #19147677C2semidirect
6. #19147671C2semidirect
7. #19147664C2semidirect
8. #19147659C2semidirect
9. #19147654C2semidirect
10. #19147411C2semidirect
11. #19147404C2semidirect
12. #19147388C2semidirect
13. #19147385C2semidirect
14. #19147336C2semidirect
15. #19147331C2semidirect
16. #19147317C2semidirect
17. #19147308C2semidirect
18. #19145703C2semidirect
19. #19145699C2semidirect
20. #19145688C2semidirect
21. #19145682C2semidirect
22. #19145596C2semidirect
23. #19145577C2semidirect
24. #19144823C2semidirect
25. #19144820C2semidirect
26. #19144777C2semidirect
27. #19144776C2semidirect
28. #19144755C2semidirect
29. #19144745C2semidirect
30. #19143698C2semidirect
31. C43×#3401C2semidirect
34. #14583635C22semidirect
39. Q8×Dic86C22semidirect
40. Q8×Dic86C22semidirect
45. #14583618C22semidirect
46. #14583618C22semidirect
52. D4×Dic86C22semidirect
53. D4×Dic86C22semidirect
77. #14583290C22semidirect
81. #14583281C22semidirect
83. #14583280C22semidirect
86. #14583260C22semidirect
88. #14583259C22semidirect
92. #14583249C22semidirect
93. #14583248C22semidirect
100. #14583195C22semidirect
101. #14583192C22semidirect
102. #14583192C22semidirect
105. #14583188C22semidirect
106. #14583184C22semidirect
107. #14583184C22semidirect
108. #14583183C22semidirect
110. #14583180C22semidirect
113. #14583123C22semidirect
115. #14583122C22semidirect
117. #14583120C22semidirect
118. #14583119C22semidirect
121. #14583118C22semidirect
125. #14583116C22semidirect
126. #14583114C22semidirect
132. #14583107C22semidirect
133. #14583107C22semidirect
134. #14583106C22semidirect
135. #14583103C22semidirect
136. #14583102C22semidirect
141. #14583091C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
162. #14583008C22semidirect
163. #14583008C22semidirect
164. #14583004C22semidirect
165. #14583004C22semidirect
166. #14583003C22semidirect
168. #14583001C22semidirect
170. #14583000C22semidirect
171. #14583000C22semidirect
172. #14583000C22semidirect
173. #14582999C22semidirect
174. #14582997C22semidirect
175. C4×Dic172C22semidirect
176. Q16×Dic43C22semidirect
177. #14582990C22semidirect
188. C43×#559C22semidirect
190. C43×#497C22semidirect
194. C43×#464C22semidirect
197. C43×#461C22semidirect
198. C43×#460C22semidirect
199. C43×#446C22semidirect
201. C43×#441C22semidirect
202. C4×SD16×C43C22semidirect
839. #3401D43semidirect
877. #559C2×D43semidirect
918. #497C2×D43semidirect
966. #464C2×D43semidirect
984. #461C2×D43semidirect
987. #460C2×D43semidirect
1010. #446C2×D43semidirect
1018. #441C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1041. C43#61944semidirect

Maximal subgroups

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

subgroupindex
#191490072
#191484852
#191476802
#191476792
#191476772
#191476712
#191476642
#191476592
#191476542
#191474112
#191474042
#191473882
#191473852
#191473362
#191473312
#191473172
#191473082
#191457032
#191456992
#191456882
#191456822
#191455962
#191455772
#191448232
#191448202
#191447772
#191447762
#191447552
#191447452
#191436982
C43×#34012
#6194443