Finite Group Databasebeta

← #25979521

Subgroups — #25979521

Order 11008.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148634C211yesmaximal, characteristic, complemented
2#19148617C211yesmaximal, characteristic, complemented
3#19147616C211yesmaximal, characteristic, complemented
4#19147495C211yesmaximal, characteristic, complemented
5#19147245C211yesmaximal, characteristic, complemented
6#19147228C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147085C211yesmaximal, characteristic, complemented
9#19147081C211yesmaximal, characteristic, complemented
10#19146519C211yesmaximal, characteristic, complemented
11#19146450C211yesmaximal, characteristic, complemented
12#19146446C211yesmaximal, characteristic, complemented
13#19146421C211yesmaximal, characteristic, complemented
14#19146415C211yesmaximal, characteristic, complemented
15#19146404C211yesmaximal, characteristic, complemented
16#19146189C211yesmaximal, characteristic, complemented
17#19146077C211yesmaximal, characteristic, complemented
18#19146069C211yesmaximal, characteristic, complemented
19#19145278C211yesmaximal, characteristic, complemented
20#19145274C211yesmaximal, characteristic, complemented
21#19145151C211yesmaximal, characteristic, complemented
22#19144798C211yesmaximal, characteristic, complemented
23#19144794C211yesmaximal, characteristic, complemented
24#19144783C211yesmaximal, characteristic, complemented
25#19144779C211yesmaximal, characteristic, complemented
26#19144692C211yesmaximal, characteristic, complemented
27#19144684C211yesmaximal, characteristic, complemented
28#19143566C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×D8×D43C211yesmaximal, characteristic, complemented
31C43×#2946C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×D8×D43C2211yescharacteristic
34#14583621C2211yescharacteristic, complemented
35#14583612C2211yescharacteristic, complemented
36#14583609C2211yescharacteristic, complemented
37#14583608C2211yescharacteristic, complemented
38#14583604C2211yescharacteristic, complemented
39#14583599C2211yescharacteristic
40#14583598—21no—
41#14583593C2211yescharacteristic
42#14583582—21no—
43#14583578—21no—
44#14583573—21no—
45#14583570C2211yescharacteristic, complemented
46D4×Dic86C2211yescharacteristic, complemented
47#14583558—21no—
48#14583550C2211yescharacteristic, complemented
49#14583548C2211yescharacteristic, complemented
50#14583545—21no—
51#14583544C2211yescharacteristic, complemented
52#14583539—21no—
53#14583539—21no—
54#14583537C2211yescharacteristic, complemented
55D4×D172C2211yescharacteristic
56D4×C22⋊D43C2211yescharacteristic
57D4×C22⋊D43C2211yescharacteristic, complemented
58#14583521C2211yescharacteristic, complemented
59#14583520C2211yescharacteristic, complemented
60#14583504C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic, complemented
62#14583496—21no—
63#14583491—21no—
64#14583487—21no—
65#14583482—21no—
66#14583453C2211yescharacteristic, complemented
67#14583446C2211yescharacteristic
68#14583427C2211yescharacteristic
69#14583408—21no—
70#14583408—21no—
71C2×#13063303—21no—
72C2×#13063298—21no—
73#14583378C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic, complemented
75C4×D4×D43C2211yescharacteristic
76C4×D4×D43C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583296C2211yescharacteristic, complemented
80#14583288C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583270C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic, complemented
84#14583254C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583246C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583217C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583212C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583209C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic, complemented
105#14583189C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic, complemented
110#14583178C2211yescharacteristic, complemented
111#14583178C2211yescharacteristic, complemented
112#14583177C2211yescharacteristic, complemented
113#14583153C2211yescharacteristic, complemented
114#14583152C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic, complemented
116#14583142C2211yescharacteristic, complemented
117#14583135C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583131C2211yescharacteristic, complemented
121#14583129C2211yescharacteristic, complemented
122#14583128C2211yescharacteristic, complemented
123#14583127C2211yescharacteristic, complemented
124#14583125C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic
127#14583114C2211yescharacteristic
128#14583114C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583099C2211yescharacteristic, complemented
132#14583098C2211yescharacteristic, complemented
133#14583094C2211yescharacteristic, complemented
134#14583093C2211yescharacteristic, complemented
135#14583092C2211yescharacteristic, complemented
136#14583092C2211yescharacteristic, complemented
137#14583051C2211yescharacteristic
138#14583050C2211yescharacteristic, complemented
139#14583048C2211yescharacteristic
140#14583048C2211yescharacteristic, complemented
141#14583045C2211yescharacteristic, complemented
142#14583044C2211yescharacteristic, complemented
143#14583044C2211yescharacteristic, complemented
144#14583041C2211yescharacteristic, complemented
145#14583034C2211yescharacteristic
146#14583034C2211yescharacteristic, complemented
147#14583033C2211yescharacteristic
148#14583031C2211yescharacteristic, complemented
149#14583027C2211yescharacteristic, complemented
150C8×Dic86C2211yescharacteristic, complemented
151#14583012C2211yescharacteristic, complemented
152#14583011C2211yescharacteristic
153#14583009C2211yescharacteristic, complemented
154#14583009C2211yescharacteristic, complemented
155#14583001C2211yescharacteristic, complemented
156#14582999C2211yescharacteristic, complemented
157#14582998C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic, complemented
163C4×D344C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic
165#14582981C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic
167C4×#10621882C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582972C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174C8×D172C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic, complemented
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic, complemented
180#14582940C2211yescharacteristic, complemented
181#107×D43C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic, complemented
190C43×#518C2211yescharacteristic, complemented
191C43×#442C2211yescharacteristic
192C43×#442C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic, complemented
194C43×#440C2211yescharacteristic, complemented
195C4×SD16×C43C2211yescharacteristic, complemented
196C4×SD16×C43C2211yescharacteristic, complemented
197C4×D8×C43C2211yescharacteristic
198C4×D8×C43C2211yescharacteristic, complemented
199C43×#428C2211yescharacteristic, complemented
200C43×#416C2211yescharacteristic, complemented
201C2×#102×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86—21no—
208C22×D172—21no—
209C22×C22⋊D43—21no—
210C22×C22⋊D43—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215C22×C4×D43—21no—
216#13063349—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229D8×D43—24no—
230C2×#10621872C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063317—21no—
251#13063317C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314C2311yescharacteristic
257#13063313—21no—
258#13063313—21no—
259#13063313C2311yescharacteristic
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311D411yescharacteristic
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310D411yescharacteristic
269#13063309—21no—
270#13063308—21no—
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307D411yescharacteristic
279#13063306—21no—
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304—21no—
283#13063304—21no—
284#13063304C2311yescharacteristic
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303D411yescharacteristic
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063299—21no—
304#13063299—21no—
305#13063299—21no—
306#13063299—21no—
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298D411yescharacteristic
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063295—21no—
327#13063295—21no—
328#13063295—21no—
329#13063294—21no—
330#13063294—21no—
331#13063293—21no—
332#13063293—21no—
333#13063293—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337#13063290C2311yescharacteristic
338C4×D172—21no—
339C4×D172—21no—
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439AGL(1,ℤ/8)×C43—24no—
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464C2×C22⋊C4×C43—21no—
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
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—22no—
491C2×D4×C43—41no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43C2411yescharacteristic
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—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—82no—
518C2×C22⋊D43—82no—
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526#10621900—22no—
527#10621900—41no—
528D4×D43—22no—
529D4×D43—22no—
530D4×D43—22no—
531D4×D43—41no—
532D4×D43—41no—
533D4×D43—41no—
534#10621898—82no—
535#10621898—82no—
536#10621898—82no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—82no—
543C2×D172C2×D411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×C4×D43—82no—
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—82no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—22no—
570SD16×C43—22no—
571D8×C43—22no—
572D8×C43#4114yescomplemented
573M16×C43—22no—
574C2×C8×C43—41no—
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C42×C43—21no—
598C42×C43—21no—
599C42×C43—21no—
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621884—41no—
612#10621884—41no—
613#10621883—22no—
614#10621883—41no—
615#10621882—22no—
616#10621882—22no—
617#10621882—22no—
618#10621882—41no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689#10621873—22no—
690#10621873—41no—
691#10621872—22no—
692C8×D43—22no—
693C8×D43—41no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—42no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43C22×D411yescharacteristic
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—42no—
709C22×D43—42no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43C22×D411yescharacteristic
715C22×D43C22×D411yescharacteristic
716Q8×C43—21no—
717Q8×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43C2×#4112yes—
725D4×C43C2×#4112yes—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—42no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C2511yescharacteristic
747C22⋊D43—22no—
748C22⋊D43—22no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—42no—
768C2×Dic43—42no—
769C2×Dic43—42no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778D172—22no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—42no—
786D172—81no—
787D172—81no—
788D172—81no—
789D172—81no—
790C4×D43—22no—
791C4×D43—21no—
792C4×D43—21no—
793C4×D43—21no—
794C4×D43—21no—
795C4×D43—22no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805Dic86—22no—
806Dic86—21no—
807Dic86—21no—
808Dic86—42no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61496—431nomaximal, Sylow
821C22×C43—22no—
822C22×C43—22no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—84no—
850C2×D43—84no—
851C2×D43—162no—
852C2×D43#57712yes—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43—41no—
863C4×C43C22×#4111yescharacteristic
864C4×C43#58511yescharacteristic
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43—41no—
875Dic43#57612yes—
876#3520—431no—
877#3519—431no—
878#3397—431no—
879#3384—431no—
880#3360—431no—
881#3358—431no—
882#3354—431no—
883#3346—431no—
884#3346—431no—
885#3303—431no—
886#3297—431no—
887#3297—431no—
888#3295—431no—
889#3295—431no—
890#3294—431no—
891#3272—431no—
892#3264—431no—
893#3264—431no—
894#3179—431no—
895#3179—431no—
896#3167—431no—
897#3119—431no—
898#3119—431no—
899#3118—431no—
900#3118—431no—
901#3110—431no—
902#3109—431no—
903#2966—431no—
904#2946—431no—
905#2946D4311yescharacteristic, complemented
906C2×C4×D8—431no—
907C2×C43—42no—
908C2×C43—42no—
909C2×C43—41no—
910C2×C43—81no—
911C2×C43D4×#4111yescharacteristic
912C2×C43C2×#57611yescharacteristic
913C2×C43C2×#57711yescharacteristic
914D43—22no—
915D43—41no—
916D43—81no—
917D43—81no—
918D43—81no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
921C22×D8—431no—
922#556—431no—
923#555—431no—
924#554—431no—
925#554—431no—
926#554—431no—
927#553—431no—
928#553—431no—
929#553—861no—
930#552—861no—
931#551—861no—
932#551—861no—
933#550—431no—
934D4×Q8—431no—
935#548—861no—
936#547—431no—
937#547—431no—
938#546—431no—
939#546—431no—
940#546—861no—
941#546—861no—
942#546—861no—
943D42—431no—
944D42—431no—
945D42—431no—
946#542—431no—
947#542—431no—
948#540—431no—
949#540—431no—
950#539—861no—
951#539—861no—
952#538—861no—
953#538—861no—
954#533—431no—
955#532—431no—
956#529—431no—
957#525—861no—
958#525—861no—
959C2×C22⋊Q8—861no—
960C2×#121—861no—
961#520—431no—
962#520C2×D4311yescharacteristic, complemented
963#518—431no—
964#518C2×D4311yescharacteristic, complemented
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967#501—431no—
968#501—431no—
969#498—431no—
970#496—431no—
971#496—431no—
972#492—431no—
973#488—431no—
974#488—431no—
975#487—431no—
976#486—431no—
977#486—431no—
978#486—431no—
979#485—431no—
980#485—431no—
981#484—431no—
982#484—431no—
983#482—431no—
984#482—431no—
985#481—431no—
986#481—431no—
987#481—431no—
988#481—431no—
989#480—431no—
990#480—431no—
991#479—431no—
992#479—431no—
993#478—431no—
994#478—431no—
995#476—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474—431no—
1003#469—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#466—431no—
1008#466—431no—
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#465—431no—
1014#465—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#461—431no—
1020#461—431no—
1021#460—431no—
1022#460—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#459—431no—
1027#450—431no—
1028#450—431no—
1029#450—431no—
1030#450—431no—
1031#449—431no—
1032#449—431no—
1033#449—431no—
1034#449—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#447—431no—
1039#446—431no—
1040C8×Q8—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442C2×D4311yescharacteristic
1046#442C2×D4311yescharacteristic, complemented
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440C2×D4311yescharacteristic, complemented
1052#440C2×D4311yescharacteristic, complemented
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16C2×D4311yescharacteristic, complemented
1058C4×SD16C2×D4311yescharacteristic, complemented
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8C2×D4311yescharacteristic
1068C4×D8C2×D4311yescharacteristic, complemented
1069#436—431no—
1070#435—431no—
1071#435—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074C8×D4—431no—
1075#433—431no—
1076#433—431no—
1077#432—431no—
1078#428—431no—
1079#428C2×D4311yescharacteristic, complemented
1080C2×#107—431no—
1081#416—431no—
1082#416C2×D4311yescharacteristic, complemented
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086C2×#102C2×D4311yescharacteristic, complemented
1087#405—431no—
1088#405C2×D4311yescharacteristic, complemented
1089C2×C4×C8—431no—
1090C43#6149611yescharacteristic, complemented, Sylow
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41C22×D4311yescharacteristic
1096C22×Q8—861no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—861no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105C23×C4—861no—
1106AGL(1,ℤ/8)—24no—
1107AGL(1,ℤ/8)—864no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—431no—
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—864no—
1123C2×D8C22×D4311yescharacteristic
1124C2×D8C22×D4311yescharacteristic
1125C2×M16—431no—
1126C2×M16C22×D4311yescharacteristic
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8C22×D4311yescharacteristic
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135C4⋊Q8—431no—
1136#127—431no—
1137#127—431no—
1138#127—431no—
1139#126—431no—
1140#126—431no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#125—431no—
1148#125—431no—
1149#125—431no—
1150#125—861no—
1151#125—861no—
1152#125—861no—
1153#124—431no—
1154#124—431no—
1155#124—431no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#123—431no—
1162#123—431no—
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—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—431no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#120—861no—
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230#120—861no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—861no—
1235C4×Q8C22×D4311yescharacteristic
1236C4×Q8C22×D4311yescharacteristic
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4C22×D4311yescharacteristic
1268C4×D4C22×D4311yescharacteristic
1269C4×D4C22×D4311yescharacteristic
1270C4×D4C22×D4311yescharacteristic
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273#117—21no—
1274#117—431no—
1275#117—431no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280#117C22×D4311yescharacteristic
1281#117C22×D4311yescharacteristic
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C42—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107C22×D4311yescharacteristic
1306#107C22×D4311yescharacteristic
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106—431no—
1313#106C22×D4311yescharacteristic
1314#106C22×D4311yescharacteristic
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320C4⋊C8—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103C22×D4311yescharacteristic
1328#103C22×D4311yescharacteristic
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8—431no—
1358C22⋊C8—431no—
1359#97—431no—
1360#97—431no—
1361#97C22×D4311yescharacteristic
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8C22×D4311yescharacteristic
1368C4×C8C22×D4311yescharacteristic
1369C24—21no—
1370C24—861no—
1371C24—861no—
1372C24—861no—
1373#41—22no—
1374#41—41no—
1375#41—862no—
1376#41—3442no—
1377#41—3442no—
1378#41—3442no—
1379#41—1721no—
1380C2×Q8—431no—
1381C2×Q8—431no—
1382C2×Q8—861no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—3442no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—22no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—431no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—862no—
1409C2×D4—862no—
1410C2×D4—862no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4—3442no—
1422C2×D4—1721no—
1423C2×D4—1721no—
1424C2×D4—1721no—
1425C2×D4C23×D4311yescharacteristic
1426C2×D4C23×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—3442no—
1455C22×C4—3442no—
1456C22×C4C23×D4311yescharacteristic
1457SD16—22no—
1458SD16—22no—
1459SD16—862no—
1460SD16—862no—
1461SD16—1721no—
1462SD16—1721no—
1463SD16—1721no—
1464SD16—1721no—
1465D8—22no—
1466D8—862no—
1467D8—862no—
1468D8—862no—
1469D8—862no—
1470D8—1721no—
1471D8—1721no—
1472D8#1062189814yescomplemented
1473M16—22no—
1474M16—862no—
1475C2×C8—41no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—862no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4D4×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4D4×D4311yescharacteristic
1570C22⋊C4D4×D4311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—431no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C42C23×D4311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—431no—
1590C23—431no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—3441no—
1595C23—3441no—
1596C23—3441no—
1597C23—3441no—
1598C23—1722no—
1599C23—1722no—
1600C23—1722no—
1601C23—1722no—
1602C23—1722no—
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—862no—
1607Q8—861no—
1608Q8—861no—
1609Q8—3441no—
1610Q8—3441no—
1611Q8—3441no—
1612Q8—1722no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—42no—
1619D4—862no—
1620D4—862no—
1621D4—862no—
1622D4—861no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—3441no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4C2×#1062189812yes—
1647D4C2×#1062189812yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—431no—
1668C2×C4—431no—
1669C2×C4—862no—
1670C2×C4—862no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C2×D4×D4311yescharacteristic
1699C2×C4C24×D4311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8—861no—
1707C8C2×#1062189812yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—162no—
1721C22—432no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—861no—
1726C22—861no—
1727C22—3444no—
1728C22—3444no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—1721no—
1738C22—6882no—
1739C22C22×D4×D4311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—432no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—861no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4—1721no—
1760C4—1721no—
1761C4C22×#1062189811yescharacteristic
1762C4#1458373511yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—42no—
1766C2—81no—
1767C2—862no—
1768C2—3441no—
1769C2—3441no—
1770C2—3441no—
1771C2—1721no—
1772C2D4×#1062189811yescharacteristic
1773C2#576×D4311yescharacteristic
1774C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2946C2
socleC22×C43C23×D4
hypercenter#2946D43
hypocenterC43#61496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #19148634C2semidirect
2. #19148617C2semidirect
3. #19147616C2semidirect
4. #19147495C2semidirect
5. #19147245C2semidirect
6. #19147228C2semidirect
7. #19147186C2semidirect
8. #19147085C2semidirect
9. #19147081C2semidirect
10. #19146519C2semidirect
11. #19146450C2semidirect
12. #19146446C2semidirect
13. #19146421C2semidirect
14. #19146415C2semidirect
15. #19146404C2semidirect
16. #19146189C2semidirect
17. #19146077C2semidirect
18. #19146069C2semidirect
19. #19145278C2semidirect
20. #19145274C2semidirect
21. #19145151C2semidirect
22. #19144798C2semidirect
23. #19144794C2semidirect
24. #19144783C2semidirect
25. #19144779C2semidirect
26. #19144692C2semidirect
27. #19144684C2semidirect
28. #19143566C2semidirect
29. #19143420C2semidirect
30. C4×D8×D43C2semidirect
31. C43×#2946C2semidirect
34. #14583621C22semidirect
35. #14583612C22semidirect
36. #14583609C22semidirect
37. #14583608C22semidirect
38. #14583604C22semidirect
45. #14583570C22semidirect
46. D4×Dic86C22semidirect
48. #14583550C22semidirect
49. #14583548C22semidirect
51. #14583544C22semidirect
54. #14583537C22semidirect
57. D4×C22⋊D43C22semidirect
58. #14583521C22semidirect
59. #14583520C22semidirect
60. #14583504C22semidirect
61. #14583500C22semidirect
66. #14583453C22semidirect
73. #14583378C22semidirect
74. #14583371C22semidirect
76. C4×D4×D43C22semidirect
77. #14583308C22semidirect
78. #14583306C22semidirect
79. #14583296C22semidirect
80. #14583288C22semidirect
81. #14583285C22semidirect
82. #14583270C22semidirect
83. #14583255C22semidirect
84. #14583254C22semidirect
85. #14583248C22semidirect
86. #14583246C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583240C22semidirect
90. #14583238C22semidirect
91. #14583236C22semidirect
92. #14583233C22semidirect
93. #14583226C22semidirect
94. #14583223C22semidirect
95. #14583219C22semidirect
96. #14583219C22semidirect
97. #14583217C22semidirect
98. #14583216C22semidirect
99. #14583212C22semidirect
100. #14583211C22semidirect
101. #14583209C22semidirect
102. #14583206C22semidirect
103. #14583199C22semidirect
104. #14583197C22semidirect
105. #14583189C22semidirect
106. #14583188C22semidirect
107. #14583187C22semidirect
108. #14583187C22semidirect
109. #14583179C22semidirect
110. #14583178C22semidirect
111. #14583178C22semidirect
112. #14583177C22semidirect
113. #14583153C22semidirect
114. #14583152C22semidirect
115. #14583145C22semidirect
116. #14583142C22semidirect
117. #14583135C22semidirect
118. #14583134C22semidirect
119. #14583131C22semidirect
120. #14583131C22semidirect
121. #14583129C22semidirect
122. #14583128C22semidirect
123. #14583127C22semidirect
124. #14583125C22semidirect
125. #14583117C22semidirect
128. #14583114C22semidirect
129. #14583103C22semidirect
130. #14583102C22semidirect
131. #14583099C22semidirect
132. #14583098C22semidirect
133. #14583094C22semidirect
134. #14583093C22semidirect
135. #14583092C22semidirect
136. #14583092C22semidirect
138. #14583050C22semidirect
140. #14583048C22semidirect
141. #14583045C22semidirect
142. #14583044C22semidirect
143. #14583044C22semidirect
144. #14583041C22semidirect
146. #14583034C22semidirect
148. #14583031C22semidirect
149. #14583027C22semidirect
150. C8×Dic86C22semidirect
151. #14583012C22semidirect
153. #14583009C22semidirect
154. #14583009C22semidirect
155. #14583001C22semidirect
156. #14582999C22semidirect
157. #14582998C22semidirect
158. #14582997C22semidirect
159. #14582990C22semidirect
160. C4×#10621873C22semidirect
161. C4×#10621884C22semidirect
162. C4×#10621883C22semidirect
163. C4×D344C22semidirect
165. #14582981C22semidirect
167. C4×#10621882C22semidirect
169. #14582979C22semidirect
170. #14582979C22semidirect
171. #14582975C22semidirect
172. #14582972C22semidirect
173. #14582968C22semidirect
174. C8×D172C22semidirect
175. C8×C22⋊D43C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582961C22semidirect
178. #14582960C22semidirect
179. #14582954C22semidirect
180. #14582940C22semidirect
181. #107×D43C22semidirect
182. #14582892C22semidirect
184. #102×D43C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
189. C43×#520C22semidirect
190. C43×#518C22semidirect
192. C43×#442C22semidirect
193. C43×#440C22semidirect
194. C43×#440C22semidirect
195. C4×SD16×C43C22semidirect
196. C4×SD16×C43C22semidirect
198. C4×D8×C43C22semidirect
199. C43×#428C22semidirect
200. C43×#416C22semidirect
201. C2×#102×C43C22semidirect
202. C43×#405C22semidirect
572. D8×C43#41semidirect
905. #2946D43semidirect
962. #520C2×D43semidirect
964. #518C2×D43semidirect
1046. #442C2×D43semidirect
1051. #440C2×D43semidirect
1052. #440C2×D43semidirect
1057. C4×SD16C2×D43semidirect
1058. C4×SD16C2×D43semidirect
1068. C4×D8C2×D43semidirect
1079. #428C2×D43semidirect
1082. #416C2×D43semidirect
1086. C2×#102C2×D43semidirect
1088. #405C2×D43semidirect
1090. C43#61496semidirect
1472. D8#10621898semidirect

Maximal subgroups

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

subgroupindex
#191486342
#191486172
#191476162
#191474952
#191472452
#191472282
#191471862
#191470852
#191470812
#191465192
#191464502
#191464462
#191464212
#191464152
#191464042
#191461892
#191460772
#191460692
#191452782
#191452742
#191451512
#191447982
#191447942
#191447832
#191447792
#191446922
#191446842
#191435662
#191434202
C4×D8×D432
C43×#29462
#6149643