Finite Group Databasebeta

← #25979605

Subgroups — #25979605

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148698C211yesmaximal, characteristic, complemented
2#19148661C211yesmaximal, characteristic, complemented
3#19147656C211yesmaximal, characteristic, complemented
4#19147539C211yesmaximal, characteristic, complemented
5#19147277C211yesmaximal, characteristic, complemented
6#19147260C211yesmaximal, characteristic, complemented
7#19147161C211yesmaximal, characteristic, complemented
8#19147124C211yesmaximal, characteristic, complemented
9#19147090C211yesmaximal, characteristic, complemented
10#19146533C211yesmaximal, characteristic, complemented
11#19146518C211yesmaximal, characteristic, complemented
12#19146503C211yesmaximal, characteristic, complemented
13#19146488C211yesmaximal, characteristic, complemented
14#19146440C211yesmaximal, characteristic, complemented
15#19146429C211yesmaximal, characteristic, complemented
16#19146233C211yesmaximal, characteristic, complemented
17#19146157C211yesmaximal, characteristic, complemented
18#19146134C211yesmaximal, characteristic, complemented
19#19145259C211yesmaximal, characteristic, complemented
20#19145163C211yesmaximal, characteristic, complemented
21#19144818C211yesmaximal, characteristic, complemented
22#19144813C211yesmaximal, characteristic, complemented
23#19144788C211yesmaximal, characteristic, complemented
24#19144777C211yesmaximal, characteristic, complemented
25#19144702C211yesmaximal, characteristic, complemented
26#19144700C211yesmaximal, characteristic, complemented
27#19143566C211yesmaximal, characteristic, complemented
28#19143440C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583633—21no—
37#14583626C2211yescharacteristic, complemented
38#14583623C2211yescharacteristic
39#14583618C2211yescharacteristic
40#14583613—21no—
41#14583613C2211yescharacteristic, complemented
42#14583610C2211yescharacteristic
43#14583601C2211yescharacteristic
44#14583596C2211yescharacteristic
45#14583594—21no—
46#14583592—21no—
47#14583591C2211yescharacteristic
48#14583587C2211yescharacteristic
49#14583586—21no—
50#14583583—21no—
51#14583576—21no—
52#14583572—21no—
53#14583569C2211yescharacteristic
54#14583555C2211yescharacteristic
55#14583555C2211yescharacteristic, complemented
56#14583551C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583517—21no—
60#14583514C2211yescharacteristic
61#14583507C2211yescharacteristic
62#14583499—21no—
63#14583490—21no—
64#14583483—21no—
65#14583431C2211yescharacteristic
66#14583431C2211yescharacteristic, complemented
67#14583430—21no—
68#14583428—21no—
69#14583427C2211yescharacteristic
70#14583426—21no—
71#126×D43—21no—
72#14583379C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583376C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621900C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic, complemented
81#14583282C2211yescharacteristic
82#14583252C2211yescharacteristic
83#14583252C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic
91#14583228C2211yescharacteristic
92#14583222C2211yescharacteristic
93#14583221C2211yescharacteristic
94#14583221C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic
96#14583215C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic
103#14583201C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic, complemented
105#14583196C2211yescharacteristic
106#14583191C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic
108#14583181C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583158C2211yescharacteristic
111#14583142C2211yescharacteristic
112#14583141C2211yescharacteristic, complemented
113#14583139C2211yescharacteristic
114#14583132C2211yescharacteristic
115#14583127C2211yescharacteristic
116#14583127C2211yescharacteristic
117#14583127C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic
122#14583113C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583108C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic, complemented
129#14583091C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583054C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583042C2211yescharacteristic
138#14583042C2211yescharacteristic
139#14583041C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143C8×Dic86C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583007C2211yescharacteristic, complemented
147#14583007C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14582999C2211yescharacteristic
152#14582999C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic
154C4×Dic172C2211yescharacteristic, complemented
155C4×Dic172C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159C4×#10621873C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163C4×#10621883C2211yescharacteristic
164C4×#10621883C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582972C2211yescharacteristic
170#14582968C2211yescharacteristic, complemented
171C8×D172C2211yescharacteristic
172C8×C22⋊D43C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic
179#14582934C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#14582892C2211yescharacteristic, complemented
184C2×#13063250C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#540C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063358—24no—
210#13063349—24no—
211#13063346—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324—21no—
229#13063324C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063321—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320D411yescharacteristic
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063316—21no—
249#13063316—21no—
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063314—21no—
258#13063312—21no—
259#13063312—21no—
260#13063312C2311yescharacteristic
261#13063312C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310D411yescharacteristic
271#13063309—21no—
272#13063309—21no—
273#13063308—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307D411yescharacteristic
280#13063306—21no—
281#13063306—21no—
282#13063306—21no—
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063303D411yescharacteristic
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298D411yescharacteristic
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063296—21no—
306#13063296—21no—
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063293—21no—
312Q8×Dic43—21no—
313Q8×Dic43C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326C4×D172—21no—
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287—21no—
339#13063287C2311yescharacteristic
340#13063287C2311yescharacteristic
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284—21no—
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282C2311yescharacteristic
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43C2311yescharacteristic
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C2×C4×Dic43—21no—
382C42×D43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451#123×C43—21no—
452#123×C43—21no—
453C22⋊Q8×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43—21no—
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512#10621902—22no—
513#10621902—41no—
514#10621900—22no—
515#10621900—22no—
516#10621900—41no—
517#10621900—41no—
518D4×D43—22no—
519D4×D43—41no—
520#10621898—22no—
521#10621898—41no—
522C2×D172—21no—
523C2×D172C2×D411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43C2×D411yescharacteristic
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×Dic86—22no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—41no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544SD16×C43—22no—
545SD16×C43—41no—
546D8×C43—22no—
547D8×C43—41no—
548M16×C43—22no—
549C2×C8×C43—41no—
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43C2×D411yescharacteristic
575C22⋊C4×C43C2×D411yescharacteristic
576C42×C43—21no—
577C42×C43C2411yescharacteristic
578C42×C43C2411yescharacteristic
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—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—22no—
595#10621885—41no—
596#10621883—22no—
597#10621883—41no—
598#10621883—41no—
599#10621883—41no—
600#10621882—22no—
601#10621882—22no—
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)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
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⋊C4—21no—
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
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
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—22no—
680#10621873—22no—
681#10621873#4114yes—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—81no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—81no—
706D4×C43—81no—
707D4×C43—81no—
708D4×C43—81no—
709D4×C43—81no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—41no—
727C22⋊D43—41no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—42no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—42no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—21no—
756D172—41no—
757D172—42no—
758D172C2×#4112yes—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—41no—
764C4×D43—41no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—41no—
778Dic86—42no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43C23×D411yescharacteristic
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—22no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43C22×#4111yescharacteristic
824C4×C43#58511yescharacteristic
825Dic43—21no—
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—22no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179D4311yescharacteristic, complemented
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—41no—
870C2×C43—81no—
871C2×C43—81no—
872C2×C43—81no—
873C2×C43D4×#4111yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358411yescharacteristic
876D43—41no—
877D43—41no—
878D43—42no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—861no—
908#542C2×D4311yescharacteristic
909#541—431no—
910#540—861no—
911#540C2×D4311yescharacteristic, complemented
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520—431no—
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501C2×D4311yescharacteristic, complemented
929#499—431no—
930#497—431no—
931#496C2×D4311yescharacteristic
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488C2×D4311yescharacteristic
937#487—431no—
938#486C2×D4311yescharacteristic, complemented
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#477—431no—
960#476—431no—
961#475—431no—
962#474—431no—
963#470—431no—
964#469C2×D4311yescharacteristic
965#468—431no—
966#468C2×D4311yescharacteristic, complemented
967#467—431no—
968#467—431no—
969#466—431no—
970#466C2×D4311yescharacteristic
971#465—431no—
972#465—431no—
973#465—431no—
974#465C2×D4311yescharacteristic, complemented
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462—431no—
984#461—431no—
985#460—431no—
986#459—431no—
987#452—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442C2×D4311yescharacteristic
1004#441—431no—
1005#441—431no—
1006#441—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic, complemented
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8C2×D4311yescharacteristic
1029#436—431no—
1030#435—431no—
1031#435—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405C2×D4311yescharacteristic, complemented
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C22×Q8—431no—
1056C22×D4—431no—
1057#137—864no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8C22×D4311yescharacteristic
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16C22×D4311yescharacteristic
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—861no—
1087#127C22×D4311yescharacteristic
1088#126—21no—
1089#126—431no—
1090#126—431no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
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#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125C22×D4311yescharacteristic
1115#124—21no—
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#124C22×D4311yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—431no—
1132#123—431no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146C22⋊Q8—21no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8C22×D4311yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121C22×D4311yescharacteristic
1178#121C22×D4311yescharacteristic
1179#121C22×D4311yescharacteristic
1180#120—861no—
1181#120—861no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
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×D4C22×D4311yescharacteristic
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—861no—
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—
1243#117—861no—
1244#117—861no—
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319#97—431no—
1320#97—431no—
1321#97C22×D4311yescharacteristic
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8C22×D4311yescharacteristic
1328C4×C8C22×D4311yescharacteristic
1329C24—861no—
1330#41—862no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—1721no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8—862no—
1345C2×Q8—861no—
1346C2×Q8—1721no—
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—862no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—1721no—
1367C2×D4C23×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4C23×D4311yescharacteristic
1392Q16—862no—
1393Q16—862no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—22no—
1397SD16—41no—
1398SD16—434no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—22no—
1405D8—41no—
1406D8—862no—
1407D8—862no—
1408M16—22no—
1409M16—862no—
1410C2×C8—41no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—862no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
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⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4D4×D4311yescharacteristic
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
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—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—431no—
1516C42—431no—
1517C42—431no—
1518C42—431no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—431no—
1538C23—431no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—1722no—
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—81no—
1547Q8—432no—
1548Q8—861no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—432no—
1568D4—861no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—1721no—
1573D4—1722no—
1574D4—1721no—
1575D4—1721no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4—1722no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—1721no—
1617C2×C4—1721no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—861no—
1650C22—861no—
1651C22—862no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—861no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—861no—
1671C4—861no—
1672C4—862no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373511yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—81no—
1688C2—81no—
1689C2—1721no—
1690C2—1721no—
1691C2—1722no—
1692C2#1914808111yescharacteristic
1693C2#1914936311yescharacteristic
1694C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148698C2semidirect
2. #19148661C2semidirect
3. #19147656C2semidirect
4. #19147539C2semidirect
5. #19147277C2semidirect
6. #19147260C2semidirect
7. #19147161C2semidirect
8. #19147124C2semidirect
9. #19147090C2semidirect
10. #19146533C2semidirect
11. #19146518C2semidirect
12. #19146503C2semidirect
13. #19146488C2semidirect
14. #19146440C2semidirect
15. #19146429C2semidirect
16. #19146233C2semidirect
17. #19146157C2semidirect
18. #19146134C2semidirect
19. #19145259C2semidirect
20. #19145163C2semidirect
21. #19144818C2semidirect
22. #19144813C2semidirect
23. #19144788C2semidirect
24. #19144777C2semidirect
25. #19144702C2semidirect
26. #19144700C2semidirect
27. #19143566C2semidirect
28. #19143440C2semidirect
29. #19143420C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3179C2semidirect
35. #14583635C22semidirect
37. #14583626C22semidirect
41. #14583613C22semidirect
55. #14583555C22semidirect
66. #14583431C22semidirect
74. #14583376C22semidirect
77. C4×#10621900C22semidirect
78. #14583306C22semidirect
79. #14583300C22semidirect
80. #14583290C22semidirect
83. #14583252C22semidirect
84. #14583252C22semidirect
85. #14583248C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583237C22semidirect
94. #14583221C22semidirect
96. #14583215C22semidirect
97. #14583210C22semidirect
98. #14583209C22semidirect
99. #14583208C22semidirect
100. #14583205C22semidirect
101. #14583203C22semidirect
103. #14583201C22semidirect
104. #14583201C22semidirect
106. #14583191C22semidirect
108. #14583181C22semidirect
112. #14583141C22semidirect
117. #14583127C22semidirect
119. #14583119C22semidirect
126. #14583108C22semidirect
127. #14583102C22semidirect
128. #14583096C22semidirect
132. #14583062C22semidirect
134. #14583054C22semidirect
142. #14583027C22semidirect
143. C8×Dic86C22semidirect
146. #14583007C22semidirect
147. #14583007C22semidirect
148. #14583004C22semidirect
152. #14582999C22semidirect
154. C4×Dic172C22semidirect
155. C4×Dic172C22semidirect
156. C4×#10621885C22semidirect
157. #14582991C22semidirect
161. SD16×Dic43C22semidirect
164. C4×#10621883C22semidirect
170. #14582968C22semidirect
173. C8×C22⋊D43C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582941C22semidirect
179. #14582934C22semidirect
183. #14582892C22semidirect
184. C2×#13063250C22semidirect
187. C4×C8×D43C22semidirect
189. C43×#540C22semidirect
190. C43×#501C22semidirect
193. C43×#486C22semidirect
195. C43×#468C22semidirect
197. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
202. C43×#405C22semidirect
856. #3179D43semidirect
911. #540C2×D43semidirect
928. #501C2×D43semidirect
938. #486C2×D43semidirect
966. #468C2×D43semidirect
974. #465C2×D43semidirect
1012. #440C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1048. #405C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486982
#191486612
#191476562
#191475392
#191472772
#191472602
#191471612
#191471242
#191470902
#191465332
#191465182
#191465032
#191464882
#191464402
#191464292
#191462332
#191461572
#191461342
#191452592
#191451632
#191448182
#191448132
#191447882
#191447772
#191447022
#191447002
#191435662
#191434402
#191434202
C4×#130633462
C43×#31792
#6150043