Finite Group Databasebeta

← #25979644

Subgroups — #25979644

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148665C211yesmaximal, characteristic, complemented
2#19148651C211yesmaximal, characteristic, complemented
3#19147675C211yesmaximal, characteristic, complemented
4#19147554C211yesmaximal, characteristic, complemented
5#19147245C211yesmaximal, characteristic, complemented
6#19147242C211yesmaximal, characteristic, complemented
7#19147166C211yesmaximal, characteristic, complemented
8#19147145C211yesmaximal, characteristic, complemented
9#19147141C211yesmaximal, characteristic, complemented
10#19146514C211yesmaximal, characteristic, complemented
11#19146508C211yesmaximal, characteristic, complemented
12#19146450C211yesmaximal, characteristic, complemented
13#19146441C211yesmaximal, characteristic, complemented
14#19146431C211yesmaximal, characteristic, complemented
15#19146426C211yesmaximal, characteristic, complemented
16#19146200C211yesmaximal, characteristic, complemented
17#19146122C211yesmaximal, characteristic, complemented
18#19146114C211yesmaximal, characteristic, complemented
19#19145263C211yesmaximal, characteristic, complemented
20#19145259C211yesmaximal, characteristic, complemented
21#19145161C211yesmaximal, characteristic, complemented
22#19144813C211yesmaximal, characteristic, complemented
23#19144809C211yesmaximal, characteristic, complemented
24#19144779C211yesmaximal, characteristic, complemented
25#19144777C211yesmaximal, characteristic, complemented
26#19144708C211yesmaximal, characteristic, complemented
27#19144700C211yesmaximal, characteristic, complemented
28#19143566C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063344C211yesmaximal, characteristic, complemented
31C43×#2946C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063344C2211yescharacteristic
34#14583622C2211yescharacteristic, complemented
35#14583621C2211yescharacteristic, complemented
36#14583619C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic, complemented
38#14583608C2211yescharacteristic, complemented
39#14583606C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583598—21no—
42#14583597C2211yescharacteristic
43#14583595—21no—
44#14583589—21no—
45#14583588C2211yescharacteristic
46#14583584C2211yescharacteristic
47#14583582—21no—
48#14583578—21no—
49#14583575—21no—
50#14583575—21no—
51#14583573—21no—
52#14583553C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583544C2211yescharacteristic, complemented
55#14583543C2211yescharacteristic
56#14583543C2211yescharacteristic, complemented
57#14583537C2211yescharacteristic
58#14583520C2211yescharacteristic
59#14583514C2211yescharacteristic
60#14583511C2211yescharacteristic, complemented
61#14583507C2211yescharacteristic, complemented
62#14583496—21no—
63#14583491—21no—
64#14583487—21no—
65#14583482—21no—
66#14583436C2211yescharacteristic, complemented
67#14583431C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429—21no—
70#14583427C2211yescharacteristic
71C2×#13063320—21no—
72C2×#13063318—21no—
73#14583378C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75C4×#10621900C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583299C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic
83#14583255C2211yescharacteristic, complemented
84#14583254C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583250C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583239C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583229C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583226C2211yescharacteristic, complemented
98#14583223C2211yescharacteristic
99#14583222C2211yescharacteristic, complemented
100#14583221C2211yescharacteristic
101#14583209C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583205C2211yescharacteristic, complemented
105#14583201C2211yescharacteristic, complemented
106#14583201C2211yescharacteristic, complemented
107#14583199C2211yescharacteristic, complemented
108#14583197C2211yescharacteristic, complemented
109#14583189C2211yescharacteristic, complemented
110#14583188C2211yescharacteristic, complemented
111#14583179C2211yescharacteristic, complemented
112#14583177C2211yescharacteristic, complemented
113#14583158C2211yescharacteristic, complemented
114#14583157C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic
116#14583142C2211yescharacteristic
117#14583140C2211yescharacteristic, complemented
118#14583139C2211yescharacteristic, complemented
119#14583139C2211yescharacteristic, complemented
120#14583134C2211yescharacteristic
121#14583129C2211yescharacteristic, complemented
122#14583128C2211yescharacteristic
123#14583127C2211yescharacteristic
124#14583125C2211yescharacteristic, complemented
125#14583124C2211yescharacteristic, complemented
126#14583120C2211yescharacteristic, complemented
127#14583116C2211yescharacteristic
128#14583114C2211yescharacteristic
129#14583114C2211yescharacteristic
130#14583113C2211yescharacteristic
131#14583112C2211yescharacteristic
132#14583112C2211yescharacteristic
133#14583109C2211yescharacteristic, complemented
134#14583108C2211yescharacteristic, complemented
135#14583104C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583062C2211yescharacteristic
138#14583062C2211yescharacteristic, complemented
139#14583061C2211yescharacteristic
140#14583061C2211yescharacteristic
141#14583058C2211yescharacteristic
142#14583058C2211yescharacteristic, complemented
143#14583051C2211yescharacteristic, complemented
144#14583050C2211yescharacteristic, complemented
145#14583045C2211yescharacteristic
146#14583041C2211yescharacteristic
147#14583033C2211yescharacteristic
148#14583031C2211yescharacteristic
149#14583027C2211yescharacteristic, complemented
150C8×Dic86C2211yescharacteristic, complemented
151#14583011C2211yescharacteristic
152#14583009C2211yescharacteristic
153#14583007C2211yescharacteristic, complemented
154#14583004C2211yescharacteristic, complemented
155#14583001C2211yescharacteristic, complemented
156#14582999C2211yescharacteristic, complemented
157#14582999C2211yescharacteristic, complemented
158#14582998C2211yescharacteristic, complemented
159C4×Dic172C2211yescharacteristic, complemented
160#14582993C2211yescharacteristic, complemented
161C4×#10621885C2211yescharacteristic, complemented
162#14582990C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic, complemented
164#14582990C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic, complemented
167C4×#10621883C2211yescharacteristic, complemented
168D8×Dic43C2211yescharacteristic
169C4×#10621882C2211yescharacteristic
170#14582979C2211yescharacteristic
171#14582975C2211yescharacteristic
172#14582972C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174C8×D172C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic, complemented
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic, complemented
180#14582940C2211yescharacteristic, complemented
181#14582936C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic
183#14582892C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#518C2211yescharacteristic, complemented
191C43×#442C2211yescharacteristic
192C43×#442C2211yescharacteristic
193C43×#440C2211yescharacteristic, complemented
194C43×#440C2211yescharacteristic, complemented
195C4×SD16×C43C2211yescharacteristic, complemented
196C4×SD16×C43C2211yescharacteristic, complemented
197C4×D8×C43C2211yescharacteristic
198C4×D8×C43C2211yescharacteristic
199C43×#428C2211yescharacteristic, complemented
200C43×#416C2211yescharacteristic
201C2×#102×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621900C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207#13063349—24no—
208#13063344—24no—
209C2×Dic172C2311yescharacteristic
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323C2311yescharacteristic
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320D411yescharacteristic
238#13063319—21no—
239#13063319—21no—
240#13063319—21no—
241#13063318—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#13063318D411yescharacteristic
251#13063317—21no—
252#13063317—21no—
253#13063317C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315D411yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063312C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311D411yescharacteristic
271#13063310—21no—
272#13063310—21no—
273#13063310D411yescharacteristic
274#13063309—21no—
275#13063309—21no—
276#13063309—21no—
277#13063308—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307D411yescharacteristic
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063304—21no—
293#13063304—21no—
294#13063304—21no—
295#13063304—21no—
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063303—21no—
300#13063303—21no—
301#13063303D411yescharacteristic
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299—21no—
311#13063299—21no—
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298D411yescharacteristic
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063294—21no—
323#13063294—21no—
324#13063293—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063284—21no—
356#13063284—21no—
357#13063284—21no—
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43—21no—
369C2×C4⋊Dic43—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43C2311yescharacteristic
374C2×C22⋊Dic43—21no—
375C2×C22⋊Dic43—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C2×C4×Dic43—21no—
381C2×C4×Dic43—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#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—22no—
489C2×D4×C43—41no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
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×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518#10621900—22no—
519#10621900—22no—
520#10621900—22no—
521#10621900—41no—
522#10621900—41no—
523#10621900—41no—
524D4×D43—22no—
525D4×D43—41no—
526C2×D172—21no—
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
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—21no—
537C2×Dic86—21no—
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542SD16×C43—22no—
543SD16×C43—22no—
544D8×C43—22no—
545D8×C43#4114yes—
546M16×C43—22no—
547C2×C8×C43—41no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43C2×D411yescharacteristic
569C22⋊C4×C43C2×D411yescharacteristic
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621885—41no—
591#10621885—41no—
592#10621883—22no—
593#10621883—22no—
594#10621883—22no—
595#10621883—41no—
596#10621882—22no—
597#10621882—41no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊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⋊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
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—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—42no—
690C23×C43—81no—
691C23×C43—81no—
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—42no—
706D4×C43—42no—
707D4×C43C2×#4112yes—
708D4×C43C2×#4112yes—
709C2×C4×C43—21no—
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—42no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—42no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759D172—21no—
760D172—21no—
761D172—41no—
762D172—81no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—41no—
768C4×D43—41no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772Dic86—21no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—41no—
779Dic86—81no—
780Dic86—81no—
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#61501—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—22no—
793C22×C43—22no—
794C22×C43—21no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—162no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43#58511yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521—431no—
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360—431no—
845#3352—431no—
846#3350—431no—
847#3350—431no—
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296—431no—
854#3273—431no—
855#3267—431no—
856#3267—431no—
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120—431no—
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946D4311yescharacteristic, complemented
869C4×#135—431no—
870C2×C43—42no—
871C2×C43—41no—
872C2×C43—42no—
873C2×C43—81no—
874C2×C43D4×#4111yescharacteristic
875C2×C43#358411yescharacteristic
876C2×C43#358411yescharacteristic
877D43—41no—
878D43—41no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
882C2×#135—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556—431no—
887#554—431no—
888#554—431no—
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#552—431no—
894#552—431no—
895#552—861no—
896#552—861no—
897#551—861no—
898#551—861no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547—431no—
903#546—431no—
904#546—431no—
905#546—431no—
906#546—431no—
907#542—431no—
908#542—431no—
909#541—431no—
910#541—431no—
911#539—861no—
912#539—861no—
913#538—861no—
914#538—861no—
915#529—431no—
916#529—431no—
917#529—431no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921C2×#126—861no—
922#520—431no—
923#520C2×D4311yescharacteristic
924#518—431no—
925#518C2×D4311yescharacteristic, complemented
926C4×#41—431no—
927C4×#41—431no—
928#501—431no—
929#501—431no—
930#499—431no—
931#497—431no—
932#497—431no—
933#495—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#488—431no—
938#487—431no—
939#487—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#484—431no—
945#484—431no—
946#483—431no—
947#483—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#478—431no—
960#476—431no—
961#476—431no—
962#474—431no—
963#474—431no—
964#470—431no—
965#470—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465—431no—
976#464—431no—
977#464—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#462—431no—
985#462—431no—
986#461—431no—
987#461—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#450—431no—
995#450—431no—
996#449—431no—
997#449—431no—
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442C2×D4311yescharacteristic
1005#442C2×D4311yescharacteristic
1006#441—431no—
1007#441—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic, complemented
1013#440C2×D4311yescharacteristic, complemented
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×SD16C2×D4311yescharacteristic, complemented
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8C2×D4311yescharacteristic
1029C4×D8C2×D4311yescharacteristic
1030#436—431no—
1031#435—431no—
1032#435—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4—431no—
1036#433—431no—
1037#433—431no—
1038#432—431no—
1039#428—431no—
1040#428C2×D4311yescharacteristic, complemented
1041#427—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416C2×D4311yescharacteristic
1046C2×#102—431no—
1047C2×#102C2×D4311yescharacteristic, complemented
1048#405—431no—
1049#405C2×D4311yescharacteristic, complemented
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41C22×D4311yescharacteristic
1056C22×D4—431no—
1057C22×D4C22×D4311yescharacteristic
1058AGL(1,ℤ/8)—24no—
1059AGL(1,ℤ/8)—864no—
1060#135—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×Q16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16C22×D4311yescharacteristic
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×D8C22×D4311yescharacteristic
1077C2×M16—431no—
1078C2×M16C22×D4311yescharacteristic
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C22×C8C22×D4311yescharacteristic
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—431no—
1087#126—431no—
1088#126—431no—
1089#126—861no—
1090#126—861no—
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#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—431no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#123—431no—
1130#123—431no—
1131#123—861no—
1132#123—861no—
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—
1146#123—861no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#120—861no—
1180#120—861no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
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×D4C22×D4311yescharacteristic
1220C4×D4C22×D4311yescharacteristic
1221C4×D4C22×D4311yescharacteristic
1222C4×D4C22×D4311yescharacteristic
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117C22×D4311yescharacteristic
1240#117C22×D4311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107C22×D4311yescharacteristic
1267#107C22×D4311yescharacteristic
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275#106C22×D4311yescharacteristic
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281C4⋊C8—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#103—431no—
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
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#102—431no—
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320#97—431no—
1321#97—431no—
1322#97C22×D4311yescharacteristic
1323#97C22×D4311yescharacteristic
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8C22×D4311yescharacteristic
1329C4×C8C22×D4311yescharacteristic
1330C24—21no—
1331C24—861no—
1332#41—22no—
1333#41—41no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—1721no—
1338#41—1721no—
1339#41—1721no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—431no—
1344C2×Q8—861no—
1345C2×Q8—861no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—41no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—862no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—1721no—
1365C2×D4C23×D4311yescharacteristic
1366C2×D4C23×D4311yescharacteristic
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
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×C4C23×D4311yescharacteristic
1391Q16—862no—
1392Q16—1721no—
1393Q16—1721no—
1394Q16—1721no—
1395SD16—22no—
1396SD16—22no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403D8—22no—
1404D8—862no—
1405D8—1721no—
1406D8#1062189814yes—
1407M16—22no—
1408M16—862no—
1409C2×C8—41no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8C23×D4311yescharacteristic
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
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—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊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⋊C4—861no—
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
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⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4D4×D4311yescharacteristic
1516C22⋊C4D4×D4311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—431no—
1521C42—431no—
1522C42—431no—
1523C42—431no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42C23×D4311yescharacteristic
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—81no—
1540C23—81no—
1541C23—431no—
1542C23—431no—
1543C23—861no—
1544C23—3441no—
1545C23—3441no—
1546C23—1722no—
1547C23C2×D4×D4311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—861no—
1554Q8—861no—
1555Q8—861no—
1556Q8—3441no—
1557Q8—3441no—
1558Q8—1721no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—42no—
1565D4—861no—
1566D4—861no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—1721no—
1572D4—1721no—
1573D4—1721no—
1574D4—1722no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4C2×#1062189812yes—
1579D4C2×#1062189812yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—42no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—431no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—1721no—
1620C2×C4—1721no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C2×D4×D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C8C2×#1062189812yes—
1638C22—21no—
1639C22—22no—
1640C22—22no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—162no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—861no—
1656C22—861no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—6882no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C22×#1062189811yescharacteristic
1686C4#1458373511yescharacteristic
1687C2—41no—
1688C2—42no—
1689C2—42no—
1690C2—81no—
1691C2—3441no—
1692C2—1721no—
1693C2—1721no—
1694C2D4×#1062189811yescharacteristic
1695C2#1914936311yescharacteristic
1696C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2946C2
socleC22×C43C23×D4
hypercenter#2946D43
hypocenterC43#61501
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. #19148665C2semidirect
2. #19148651C2semidirect
3. #19147675C2semidirect
4. #19147554C2semidirect
5. #19147245C2semidirect
6. #19147242C2semidirect
7. #19147166C2semidirect
8. #19147145C2semidirect
9. #19147141C2semidirect
10. #19146514C2semidirect
11. #19146508C2semidirect
12. #19146450C2semidirect
13. #19146441C2semidirect
14. #19146431C2semidirect
15. #19146426C2semidirect
16. #19146200C2semidirect
17. #19146122C2semidirect
18. #19146114C2semidirect
19. #19145263C2semidirect
20. #19145259C2semidirect
21. #19145161C2semidirect
22. #19144813C2semidirect
23. #19144809C2semidirect
24. #19144779C2semidirect
25. #19144777C2semidirect
26. #19144708C2semidirect
27. #19144700C2semidirect
28. #19143566C2semidirect
29. #19143420C2semidirect
30. C4×#13063344C2semidirect
31. C43×#2946C2semidirect
34. #14583622C22semidirect
35. #14583621C22semidirect
36. #14583619C22semidirect
37. #14583617C22semidirect
38. #14583608C22semidirect
39. #14583606C22semidirect
54. #14583544C22semidirect
56. #14583543C22semidirect
60. #14583511C22semidirect
61. #14583507C22semidirect
66. #14583436C22semidirect
67. #14583431C22semidirect
74. #14583371C22semidirect
75. C4×#10621900C22semidirect
76. C4×#10621900C22semidirect
77. #14583308C22semidirect
78. #14583306C22semidirect
79. #14583299C22semidirect
80. #14583293C22semidirect
81. #14583290C22semidirect
83. #14583255C22semidirect
84. #14583254C22semidirect
85. #14583252C22semidirect
86. #14583252C22semidirect
87. #14583250C22semidirect
88. #14583248C22semidirect
89. #14583243C22semidirect
90. #14583243C22semidirect
91. #14583240C22semidirect
92. #14583239C22semidirect
93. #14583236C22semidirect
94. #14583234C22semidirect
95. #14583229C22semidirect
96. #14583228C22semidirect
97. #14583226C22semidirect
99. #14583222C22semidirect
101. #14583209C22semidirect
102. #14583206C22semidirect
103. #14583205C22semidirect
104. #14583205C22semidirect
105. #14583201C22semidirect
106. #14583201C22semidirect
107. #14583199C22semidirect
108. #14583197C22semidirect
109. #14583189C22semidirect
110. #14583188C22semidirect
111. #14583179C22semidirect
112. #14583177C22semidirect
113. #14583158C22semidirect
114. #14583157C22semidirect
117. #14583140C22semidirect
118. #14583139C22semidirect
119. #14583139C22semidirect
121. #14583129C22semidirect
124. #14583125C22semidirect
125. #14583124C22semidirect
126. #14583120C22semidirect
133. #14583109C22semidirect
134. #14583108C22semidirect
135. #14583104C22semidirect
136. #14583102C22semidirect
138. #14583062C22semidirect
142. #14583058C22semidirect
143. #14583051C22semidirect
144. #14583050C22semidirect
149. #14583027C22semidirect
150. C8×Dic86C22semidirect
153. #14583007C22semidirect
154. #14583004C22semidirect
155. #14583001C22semidirect
156. #14582999C22semidirect
157. #14582999C22semidirect
158. #14582998C22semidirect
159. C4×Dic172C22semidirect
160. #14582993C22semidirect
161. C4×#10621885C22semidirect
162. #14582990C22semidirect
163. #14582990C22semidirect
164. #14582990C22semidirect
165. C4×#10621873C22semidirect
166. C4×#10621883C22semidirect
167. C4×#10621883C22semidirect
172. #14582972C22semidirect
173. #14582968C22semidirect
174. C8×D172C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582961C22semidirect
178. #14582960C22semidirect
179. #14582954C22semidirect
180. #14582940C22semidirect
181. #14582936C22semidirect
183. #14582892C22semidirect
184. #14582892C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
190. C43×#518C22semidirect
193. C43×#440C22semidirect
194. C43×#440C22semidirect
195. C4×SD16×C43C22semidirect
196. C4×SD16×C43C22semidirect
199. C43×#428C22semidirect
201. C2×#102×C43C22semidirect
202. C43×#405C22semidirect
868. #2946D43semidirect
925. #518C2×D43semidirect
1012. #440C2×D43semidirect
1013. #440C2×D43semidirect
1023. C4×SD16C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1040. #428C2×D43semidirect
1047. C2×#102C2×D43semidirect
1049. #405C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486652
#191486512
#191476752
#191475542
#191472452
#191472422
#191471662
#191471452
#191471412
#191465142
#191465082
#191464502
#191464412
#191464312
#191464262
#191462002
#191461222
#191461142
#191452632
#191452592
#191451612
#191448132
#191448092
#191447792
#191447772
#191447082
#191447002
#191435662
#191434202
C4×#130633442
C43×#29462
#6150143