Finite Group Databasebeta

← #25988677

Subgroups — #25988677

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149092C211yesmaximal, characteristic, complemented
2#19148465C211yesmaximal, characteristic, complemented
3#19147679C211yesmaximal, characteristic, complemented
4#19147678C211yesmaximal, characteristic, complemented
5#19147659C211yesmaximal, characteristic, complemented
6#19147656C211yesmaximal, characteristic, complemented
7#19147642C211yesmaximal, characteristic, complemented
8#19147618C211yesmaximal, characteristic, complemented
9#19147612C211yesmaximal, characteristic, complemented
10#19147365C211yesmaximal, characteristic, complemented
11#19147359C211yesmaximal, characteristic, complemented
12#19147353C211yesmaximal, characteristic, complemented
13#19147341C211yesmaximal, characteristic, complemented
14#19147320C211yesmaximal, characteristic, complemented
15#19147319C211yesmaximal, characteristic, complemented
16#19147306C211yesmaximal, characteristic, complemented
17#19147303C211yesmaximal, characteristic, complemented
18#19145686C211yesmaximal, characteristic, complemented
19#19145684C211yesmaximal, characteristic, complemented
20#19145666C211yesmaximal, characteristic, complemented
21#19145638C211yesmaximal, characteristic, complemented
22#19145612C211yesmaximal, characteristic, complemented
23#19145609C211yesmaximal, characteristic, complemented
24#19144844C211yesmaximal, characteristic, complemented
25#19144836C211yesmaximal, characteristic, complemented
26#19144778C211yesmaximal, characteristic, complemented
27#19144777C211yesmaximal, characteristic, complemented
28#19144701C211yesmaximal, characteristic, complemented
29#19144700C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3399C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583635C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583634C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583632C2211yescharacteristic
39#14583627C2211yescharacteristic, complemented
40#14583625C2211yescharacteristic, complemented
41#14583618C2211yescharacteristic, complemented
42#14583618C2211yescharacteristic, complemented
43#14583608C2211yescharacteristic, complemented
44#14583606C2211yescharacteristic, complemented
45#14583589—21no—
46#14583586—21no—
47#14583570C2211yescharacteristic
48#14583569C2211yescharacteristic
49#14583569C2211yescharacteristic
50#14583546—21no—
51#14583538—21no—
52#14583538—21no—
53#14583537—21no—
54#14583518C2211yescharacteristic
55#14583517—21no—
56#14583514C2211yescharacteristic
57#14583513—21no—
58#14583507C2211yescharacteristic
59#14583503C2211yescharacteristic
60#14583499—21no—
61#14583499—21no—
62#14583493—21no—
63#14583491—21no—
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583445—21no—
68#14583444—21no—
69#127×D43C2211yescharacteristic
70#14583431C2211yescharacteristic
71#14583428C2211yescharacteristic
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583290C2211yescharacteristic, complemented
76#14583289C2211yescharacteristic
77#14583287C2211yescharacteristic
78#14583287C2211yescharacteristic
79#14583287C2211yescharacteristic, complemented
80#14583286C2211yescharacteristic, complemented
81#14583282C2211yescharacteristic, complemented
82#14583281C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic
85#14583263C2211yescharacteristic
86#14583263C2211yescharacteristic, complemented
87#14583262C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic, complemented
90#14583259C2211yescharacteristic, complemented
91#14583257C2211yescharacteristic, complemented
92#14583254C2211yescharacteristic, complemented
93#14583252C2211yescharacteristic, complemented
94#14583245C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583222C2211yescharacteristic
99#14583221C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583198C2211yescharacteristic, complemented
108#14583190C2211yescharacteristic, complemented
109#14583188C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic, complemented
111#14583177C2211yescharacteristic, complemented
112#14583122C2211yescharacteristic, complemented
113#14583122C2211yescharacteristic, complemented
114#14583121C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic, complemented
118#14583114C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic, complemented
120#14583112C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic, complemented
122#14583112C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583100C2211yescharacteristic
129#14583097C2211yescharacteristic
130#14583097C2211yescharacteristic
131#14583097C2211yescharacteristic, complemented
132#14583096C2211yescharacteristic
133#14583096C2211yescharacteristic, complemented
134#14583096C2211yescharacteristic, complemented
135#14583094C2211yescharacteristic
136#14583092C2211yescharacteristic
137#14583092C2211yescharacteristic
138#14583092C2211yescharacteristic, complemented
139#14583092C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic, complemented
141#14583091C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic
143#14583058C2211yescharacteristic
144#14583051C2211yescharacteristic
145#14583051C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583041C2211yescharacteristic
149#14583041C2211yescharacteristic
150#14583031C2211yescharacteristic
151#14583031C2211yescharacteristic
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#14583011C2211yescharacteristic, complemented
162#14583011C2211yescharacteristic, complemented
163#14583011C2211yescharacteristic, complemented
164#14583008C2211yescharacteristic, complemented
165#14583007C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583002C2211yescharacteristic, complemented
168#14583001C2211yescharacteristic, complemented
169#14583000C2211yescharacteristic, complemented
170#14582999C2211yescharacteristic, complemented
171#14582999C2211yescharacteristic, complemented
172#14582999C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175C4×#10621873C2211yescharacteristic, complemented
176SD16×Dic43C2211yescharacteristic, complemented
177C4×#10621883C2211yescharacteristic, complemented
178D8×Dic43C2211yescharacteristic, complemented
179C4×#10621882C2211yescharacteristic, complemented
180#14582979C2211yescharacteristic, complemented
181#14582979C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#496C2211yescharacteristic
191C43×#496C2211yescharacteristic, complemented
192C43×#493C2211yescharacteristic, complemented
193C43×#463C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#460C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#459C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324D411yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323D411yescharacteristic
232#13063323C2311yescharacteristic
233#13063322C2311yescharacteristic
234#13063321—21no—
235#13063321—21no—
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063319—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063317—21no—
251#13063317—21no—
252#13063317C2311yescharacteristic
253#13063317C2311yescharacteristic
254#13063316—21no—
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063315D411yescharacteristic
262#13063314—21no—
263#13063313C2311yescharacteristic
264#13063313C2311yescharacteristic
265#13063312—21no—
266#13063312—21no—
267#13063312C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063312C2311yescharacteristic
270#13063312C2311yescharacteristic
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063310—21no—
276#13063310—21no—
277#13063309—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063305D411yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304—21no—
295#13063304—21no—
296#13063303D411yescharacteristic
297#13063303D411yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063301D411yescharacteristic
306#13063301C2311yescharacteristic
307#13063299—21no—
308#13063298—21no—
309#13063298—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296—21no—
321#13063296—21no—
322#13063296C2311yescharacteristic
323#13063296C2311yescharacteristic
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338#13063290—21no—
339#13063290C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063284—21no—
365#13063283C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×C4⋊Dic43—21no—
373C2×Dic43⋊C4—21no—
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C2×C4×Dic43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
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×#41×C43—21no—
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#123×C43—21no—
453#123×C43—21no—
454#121×C43—21no—
455#121×C43—21no—
456#121×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480#41×C43—82no—
481C2×Q8×C43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621900—41no—
523#10621900—41no—
524#10621900—82no—
525#10621900—82no—
526D4×D43—41no—
527D4×D43—41no—
528D4×D43—41no—
529D4×D43—41no—
530D4×D43—82no—
531D4×D43—82no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172C2411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551SD16×C43—41no—
552SD16×C43—41no—
553SD16×C43—41no—
554D8×C43—41no—
555D8×C43—41no—
556D8×C43—41no—
557D8×C43—41no—
558D8×C43—41no—
559D8×C43—41no—
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C42×C43—21no—
580C42×C43C2411yescharacteristic
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600#10621885—41no—
601#10621884—41no—
602#10621884—41no—
603#10621883—41no—
604#10621883—41no—
605#10621883—41no—
606#10621883—41no—
607#10621883—41no—
608#10621882—41no—
609#10621882—41no—
610#10621882—41no—
611#10621882—41no—
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)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682Dic172—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—41no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—42no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—42no—
755C2×Dic43—42no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—42no—
774D172—81no—
775C4×D43—21no—
776C4×D43—21no—
777C4×D43—41no—
778C4×D43—41no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—21no—
787Dic86—41no—
788Dic86—41no—
789Dic86—41no—
790Dic86—81no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61945—431nomaximal, Sylow
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43C23×D411yescharacteristic
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—162no—
827C2×D43—162no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—21no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43#58511yescharacteristic
838C4×C43#58511yescharacteristic
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852#3557—431no—
853#3508—431no—
854#3403—431no—
855#3403—431no—
856#3401—431no—
857#3401—431no—
858#3399—431no—
859#3399D4311yescharacteristic, complemented
860#3397—431no—
861#3397—431no—
862#3371—431no—
863#3371—431no—
864#3370—431no—
865#3370—431no—
866#3368—431no—
867#3368—431no—
868#3366—431no—
869#3366—431no—
870#3224—431no—
871#3224—431no—
872#3222—431no—
873#3220—431no—
874#3217—431no—
875#3217—431no—
876#3123—431no—
877#3122—431no—
878#3118—431no—
879#3118—431no—
880#3111—431no—
881#3111—431no—
882#2987—431no—
883C2×C43—81no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43—81no—
888C2×C43#348711yescharacteristic
889C2×C43#358511yescharacteristic
890C2×C43#358511yescharacteristic
891D43—41no—
892D43—81no—
893D43—81no—
894#563—861no—
895#563—861no—
896#559—431no—
897#559—431no—
898#559—431no—
899#559—431no—
900#559—431no—
901#559C2×D4311yescharacteristic, complemented
902#557—431no—
903#557—431no—
904#556—431no—
905#556—431no—
906#554—431no—
907#554—431no—
908#552—861no—
909#552—861no—
910#550—431no—
911#550—431no—
912#550—431no—
913#550C2×D4311yescharacteristic
914#546—861no—
915#546—861no—
916#546—861no—
917#546—861no—
918#542—431no—
919#542—431no—
920#542—861no—
921#542—861no—
922#541—431no—
923#540—431no—
924#540—861no—
925#540—861no—
926#539—861no—
927#539—861no—
928#535—431no—
929#535—431no—
930#533—431no—
931#532—861no—
932#532—861no—
933C2×#127—431no—
934#529—431no—
935#529—431no—
936#518—431no—
937#518—431no—
938C4×#41—431no—
939#497—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496C2×D4311yescharacteristic
946#496C2×D4311yescharacteristic, complemented
947#495—431no—
948#495—431no—
949#493C2×D4311yescharacteristic, complemented
950#492—431no—
951#490—431no—
952#490—431no—
953#490—431no—
954#490—431no—
955#490—431no—
956#490—431no—
957#489—431no—
958#489—431no—
959#488—431no—
960#488—431no—
961#486—431no—
962#486—431no—
963#485—431no—
964#485—431no—
965#482—431no—
966#482—431no—
967#479—431no—
968#479—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#476—431no—
976#476—431no—
977#474—431no—
978#474—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463—431no—
993#463C2×D4311yescharacteristic, complemented
994#463C2×D4311yescharacteristic, complemented
995#461—431no—
996#461—431no—
997#460—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460—431no—
1004#460C2×D4311yescharacteristic, complemented
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459C2×D4311yescharacteristic
1013#459C2×D4311yescharacteristic, complemented
1014#459C2×D4311yescharacteristic, complemented
1015#452—431no—
1016#452—431no—
1017#450—431no—
1018#450—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#447—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446—431no—
1034#446C2×D4311yescharacteristic, complemented
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442C2×D4311yescharacteristic, complemented
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#433—431no—
1063#432—431no—
1064#432—431no—
1065C43#6194511yescharacteristic, complemented, Sylow
1066C2×#41—21no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C22×D4—431no—
1072C22×D4—431no—
1073C22×D4—861no—
1074C22×D4—861no—
1075C2×Q16—431no—
1076C2×Q16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16C22×D4311yescharacteristic
1087C2×SD16C22×D4311yescharacteristic
1088C2×SD16C22×D4311yescharacteristic
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8C22×D4311yescharacteristic
1094C2×D8C22×D4311yescharacteristic
1095C2×D8C22×D4311yescharacteristic
1096C2×D8C22×D4311yescharacteristic
1097C2×D8C22×D4311yescharacteristic
1098C2×D8C22×D4311yescharacteristic
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—431no—
1104C4⋊Q8—861no—
1105C4⋊Q8—861no—
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—861no—
1112#127—861no—
1113#127C22×D4311yescharacteristic
1114#127C22×D4311yescharacteristic
1115#127C22×D4311yescharacteristic
1116#127C22×D4311yescharacteristic
1117#126—861no—
1118#126—861no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#125—431no—
1128#125—431no—
1129#125—431no—
1130#125—431no—
1131#125—431no—
1132#125—431no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#124—21no—
1140#124—431no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124C22×D4311yescharacteristic
1154#124C22×D4311yescharacteristic
1155#123—21no—
1156#123—21no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—431no—
1193#121—431no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212#120—861no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—861no—
1224C4×Q8—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4C22×D4311yescharacteristic
1253C4×D4C22×D4311yescharacteristic
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257#117—431no—
1258#117—431no—
1259#117—431no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265C2×C4⋊C4—861no—
1266C2×C4⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C22⋊C4—861no—
1271C2×C42—431no—
1272C2×C42—861no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8C22×D4311yescharacteristic
1291C4⋊C8C22×D4311yescharacteristic
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97C22×D4311yescharacteristic
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8—431no—
1340C4×C8C22×D4311yescharacteristic
1341C24—861no—
1342C24—861no—
1343#41—82no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8D4×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—3442no—
1384C2×D4—3442no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4C23×D4311yescharacteristic
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4311yescharacteristic
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414Q16—1721no—
1415Q16—1721no—
1416SD16—41no—
1417SD16—41no—
1418SD16—41no—
1419SD16—1721no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427SD16—1721no—
1428D8—41no—
1429D8—41no—
1430D8—41no—
1431D8—41no—
1432D8—41no—
1433D8—41no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4D4×D4311yescharacteristic
1486C4⋊C4D4×D4311yescharacteristic
1487C4⋊C4D4×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C4⋊C4C23×D4311yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C42—21no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42C23×D4311yescharacteristic
1546C42C23×D4311yescharacteristic
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—431no—
1554C23—861no—
1555C23—861no—
1556C23—3441no—
1557C23—3441no—
1558C23—3441no—
1559C23—3441no—
1560C23—1722no—
1561C23—1722no—
1562Q8—21no—
1563Q8—21no—
1564Q8—41no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569Q8—3441no—
1570Q8—3441no—
1571Q8—1721no—
1572Q8—1721no—
1573Q8—1721no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—42no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—861no—
1593D4—861no—
1594D4—861no—
1595D4—861no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608D4—1722no—
1609D4—1722no—
1610D4—1722no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1722no—
1647C2×C4—1722no—
1648C2×C4C2×D4×D4311yescharacteristic
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—861no—
1679C22—861no—
1680C22—861no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—6882no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4#1458373411yescharacteristic
1713C4#1458373511yescharacteristic
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—3441no—
1720C2—3441no—
1721C2—1721no—
1722C2#1914824811yescharacteristic
1723C2#1914937011yescharacteristic
1724C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3399C2
socleC22×C43C23×D4
hypercenter#3399D43
hypocenterC43#61945
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3399

Complements

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

NH ≅ G/Ntype
1. #19149092C2semidirect
2. #19148465C2semidirect
3. #19147679C2semidirect
4. #19147678C2semidirect
5. #19147659C2semidirect
6. #19147656C2semidirect
7. #19147642C2semidirect
8. #19147618C2semidirect
9. #19147612C2semidirect
10. #19147365C2semidirect
11. #19147359C2semidirect
12. #19147353C2semidirect
13. #19147341C2semidirect
14. #19147320C2semidirect
15. #19147319C2semidirect
16. #19147306C2semidirect
17. #19147303C2semidirect
18. #19145686C2semidirect
19. #19145684C2semidirect
20. #19145666C2semidirect
21. #19145638C2semidirect
22. #19145612C2semidirect
23. #19145609C2semidirect
24. #19144844C2semidirect
25. #19144836C2semidirect
26. #19144778C2semidirect
27. #19144777C2semidirect
28. #19144701C2semidirect
29. #19144700C2semidirect
30. #19143698C2semidirect
31. C43×#3399C2semidirect
35. #14583635C22semidirect
39. #14583627C22semidirect
40. #14583625C22semidirect
41. #14583618C22semidirect
42. #14583618C22semidirect
43. #14583608C22semidirect
44. #14583606C22semidirect
75. #14583290C22semidirect
79. #14583287C22semidirect
80. #14583286C22semidirect
81. #14583282C22semidirect
82. #14583281C22semidirect
83. #14583270C22semidirect
86. #14583263C22semidirect
89. #14583262C22semidirect
90. #14583259C22semidirect
91. #14583257C22semidirect
92. #14583254C22semidirect
93. #14583252C22semidirect
94. #14583245C22semidirect
95. #14583244C22semidirect
100. #14583209C22semidirect
101. #14583207C22semidirect
102. #14583201C22semidirect
103. #14583201C22semidirect
104. #14583200C22semidirect
105. #14583199C22semidirect
106. #14583199C22semidirect
107. #14583198C22semidirect
108. #14583190C22semidirect
109. #14583188C22semidirect
110. #14583179C22semidirect
111. #14583177C22semidirect
112. #14583122C22semidirect
113. #14583122C22semidirect
114. #14583121C22semidirect
115. #14583120C22semidirect
116. #14583119C22semidirect
117. #14583118C22semidirect
118. #14583114C22semidirect
119. #14583113C22semidirect
120. #14583112C22semidirect
121. #14583112C22semidirect
122. #14583112C22semidirect
123. #14583112C22semidirect
124. #14583112C22semidirect
125. #14583111C22semidirect
126. #14583103C22semidirect
127. #14583102C22semidirect
131. #14583097C22semidirect
133. #14583096C22semidirect
134. #14583096C22semidirect
138. #14583092C22semidirect
139. #14583092C22semidirect
140. #14583092C22semidirect
141. #14583091C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583011C22semidirect
162. #14583011C22semidirect
163. #14583011C22semidirect
164. #14583008C22semidirect
165. #14583007C22semidirect
166. #14583003C22semidirect
167. #14583002C22semidirect
168. #14583001C22semidirect
169. #14583000C22semidirect
170. #14582999C22semidirect
171. #14582999C22semidirect
172. #14582999C22semidirect
173. #14582997C22semidirect
174. #14582996C22semidirect
175. C4×#10621873C22semidirect
176. SD16×Dic43C22semidirect
177. C4×#10621883C22semidirect
178. D8×Dic43C22semidirect
179. C4×#10621882C22semidirect
180. #14582979C22semidirect
181. #14582979C22semidirect
188. C43×#559C22semidirect
191. C43×#496C22semidirect
192. C43×#493C22semidirect
193. C43×#463C22semidirect
194. C43×#463C22semidirect
195. C43×#460C22semidirect
197. C43×#459C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C4×SD16×C43C22semidirect
859. #3399D43semidirect
901. #559C2×D43semidirect
946. #496C2×D43semidirect
949. #493C2×D43semidirect
993. #463C2×D43semidirect
994. #463C2×D43semidirect
1004. #460C2×D43semidirect
1013. #459C2×D43semidirect
1014. #459C2×D43semidirect
1034. #446C2×D43semidirect
1039. #442C2×D43semidirect
1040. #442C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1065. C43#61945semidirect

Maximal subgroups

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

subgroupindex
#191490922
#191484652
#191476792
#191476782
#191476592
#191476562
#191476422
#191476182
#191476122
#191473652
#191473592
#191473532
#191473412
#191473202
#191473192
#191473062
#191473032
#191456862
#191456842
#191456662
#191456382
#191456122
#191456092
#191448442
#191448362
#191447782
#191447772
#191447012
#191447002
#191436982
C43×#33992
#6194543