Finite Group Databasebeta

← #25979743

Subgroups — #25979743

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148543C211yesmaximal, characteristic, complemented
2#19148530C211yesmaximal, characteristic, complemented
3#19147683C211yesmaximal, characteristic, complemented
4#19147493C211yesmaximal, characteristic, complemented
5#19147388C211yesmaximal, characteristic, complemented
6#19147347C211yesmaximal, characteristic, complemented
7#19147190C211yesmaximal, characteristic, complemented
8#19147143C211yesmaximal, characteristic, complemented
9#19147113C211yesmaximal, characteristic, complemented
10#19146832C211yesmaximal, characteristic, complemented
11#19146812C211yesmaximal, characteristic, complemented
12#19146753C211yesmaximal, characteristic, complemented
13#19146732C211yesmaximal, characteristic, complemented
14#19146637C211yesmaximal, characteristic, complemented
15#19146202C211yesmaximal, characteristic, complemented
16#19146078C211yesmaximal, characteristic, complemented
17#19146073C211yesmaximal, characteristic, complemented
18#19145273C211yesmaximal, characteristic, complemented
19#19145211C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144867C211yesmaximal, characteristic, complemented
22#19144832C211yesmaximal, characteristic, complemented
23#19144784C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144697C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143444C211yesmaximal, characteristic, complemented
29#19143421C211yesmaximal, characteristic, complemented
30#19143408C211yesmaximal, characteristic, complemented
31C43×#3306C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583632C2211yescharacteristic, complemented
36#14583631C2211yescharacteristic, complemented
37#14583620C2211yescharacteristic, complemented
38#14583614C2211yescharacteristic, complemented
39#14583613C2211yescharacteristic
40#14583610C2211yescharacteristic, complemented
41#14583597C2211yescharacteristic
42#14583594—21no—
43#14583584C2211yescharacteristic, complemented
44#14583576—21no—
45#14583575—21no—
46#14583572—21no—
47#14583572—21no—
48D4×Dic86C2211yescharacteristic, complemented
49#14583555—21no—
50#14583546C2211yescharacteristic
51#14583545C2211yescharacteristic, complemented
52#14583537—21no—
53#14583537C2211yescharacteristic
54#14583536—21no—
55#14583533C2211yescharacteristic, complemented
56D4×C22⋊D43C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583518C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583495—21no—
62#14583486—21no—
63#14583485—21no—
64#14583484—21no—
65#14583444C2211yescharacteristic, complemented
66#14583430C2211yescharacteristic, complemented
67#14583429C2211yescharacteristic
68#14583426—21no—
69C2×#13063311—21no—
70#14583406—21no—
71#123×D43—21no—
72#14583380C2211yescharacteristic, complemented
73#14583374C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76#41×Dic43C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583295C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583217C2211yescharacteristic, complemented
98#14583217C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583201C2211yescharacteristic, complemented
101#14583197C2211yescharacteristic, complemented
102#14583197C2211yescharacteristic, complemented
103#14583189C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic
112#14583150C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583147C2211yescharacteristic, complemented
115#14583145C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583135C2211yescharacteristic, complemented
118#14583131C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583124C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic, complemented
123#14583115C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583112C2211yescharacteristic, complemented
126#14583111C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic
128#14583093C2211yescharacteristic, complemented
129#14583092C2211yescharacteristic
130#14583092C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic, complemented
132#14583059C2211yescharacteristic, complemented
133#14583051C2211yescharacteristic, complemented
134#14583048C2211yescharacteristic, complemented
135#14583046C2211yescharacteristic
136#14583035C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic
138#14583033C2211yescharacteristic, complemented
139#14583032C2211yescharacteristic, complemented
140#14583031C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583008C2211yescharacteristic
148#14583008C2211yescharacteristic
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583003C2211yescharacteristic, complemented
153#14583002C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic, complemented
164C4×#10621882C2211yescharacteristic
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582939C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#14582934C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic, complemented
183#14582902C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#547C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#447C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C22×Dic86—21no—
206C22×D172C2311yescharacteristic
207C22×C22⋊D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063351—24no—
213#13063350—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227D8×D43—24no—
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315D411yescharacteristic
251#13063314—21no—
252#13063314C2311yescharacteristic
253#13063313C2311yescharacteristic
254#13063312—21no—
255#13063312C2311yescharacteristic
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063309—21no—
270#13063309—21no—
271#13063309—21no—
272#13063309D411yescharacteristic
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306D411yescharacteristic
283#13063305—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304C2311yescharacteristic
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063299—21no—
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297D411yescharacteristic
309#13063296—21no—
310#13063296—21no—
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063294—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318#13063293—21no—
319#13063293—21no—
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43C2311yescharacteristic
354C4×C22⋊D43C2311yescharacteristic
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284—21no—
360#13063284—21no—
361#13063284C2311yescharacteristic
362#13063284C2311yescharacteristic
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C2×C22⋊Dic43—21no—
374C2×C22⋊Dic43—21no—
375C2×(C2×D43)⋊C4—21no—
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—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×#41×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457#120×C43—21no—
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×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#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—82no—
488C2×Q8×C43—21no—
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—22no—
496C2×D4×C43—41no—
497C2×D4×C43C2×D411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
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—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—82no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43C2×D411yescharacteristic
529C22×Dic43C2×D411yescharacteristic
530#10621900—82no—
531D4×D43—22no—
532D4×D43—22no—
533D4×D43—41no—
534D4×D43—41no—
535D4×D43—82no—
536#10621898—22no—
537#10621898—41no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—22no—
541C2×D172—41no—
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×C4×D43—21no—
546C2×C4×D43—21no—
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—82no—
555C2×C4×D43C2411yescharacteristic
556C2×Dic86—21no—
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86—82no—
560C2×Dic86C2×D411yescharacteristic
561C2×Dic86C2411yescharacteristic
562SD16×C43—41no—
563D8×C43—22no—
564D8×C43—41no—
565M16×C43—41no—
566C2×C8×C43—41no—
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43C2×D411yescharacteristic
589C22⋊C4×C43C2×D411yescharacteristic
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607#10621885—41no—
608#10621884—22no—
609#10621884—22no—
610#10621883—22no—
611#10621883—22no—
612#10621882—22no—
613#10621882—22no—
614#10621882—22no—
615#10621882—41no—
616#10621882#4114yescomplemented
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊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)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682#10621877—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689#10621873—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—42no—
696C23×C43—81no—
697C23×C43—81no—
698C23×C43C22×D411yescharacteristic
699C23×C43C22×D411yescharacteristic
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—41no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—42no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43C2×#4112yes—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—42no—
738C2×C4×C43—42no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C2511yescharacteristic
747C22⋊D43—41no—
748C22⋊D43—41no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—41no—
766C2×Dic43—41no—
767C2×Dic43—42no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—42no—
786D172—81no—
787D172C2×#4112yes—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—22no—
820C22×C43—21no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—162no—
830C22×C43C23×D411yescharacteristic
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—22no—
834C2×D43—21no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—84no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43C22×#4111yescharacteristic
856C4×C43#58511yescharacteristic
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306D4311yescharacteristic, complemented
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—42no—
902C2×C43—41no—
903C2×C43—81no—
904C2×C43—81no—
905C2×C43D4×#4111yescharacteristic
906C2×C43#358511yescharacteristic
907C2×C43#358511yescharacteristic
908D43—41no—
909D43—42no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556—431no—
918#555—431no—
919#555—431no—
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547C2×D4311yescharacteristic, complemented
931#546—431no—
932#546—431no—
933#546—431no—
934#546—861no—
935#546—861no—
936#546C2×D4311yescharacteristic, complemented
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489—431no—
969#489C2×D4311yescharacteristic, complemented
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483C2×D4311yescharacteristic, complemented
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#481—431no—
983#481C2×D4311yescharacteristic, complemented
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#469C2×D4311yescharacteristic, complemented
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465C2×D4311yescharacteristic, complemented
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463C2×D4311yescharacteristic, complemented
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459—431no—
1020#452—431no—
1021#452—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449C2×D4311yescharacteristic
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447C2×D4311yescharacteristic, complemented
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442C2×D4311yescharacteristic, complemented
1044#441—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435C2×D4311yescharacteristic, complemented
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417C2×D4311yescharacteristic, complemented
1078#416—431no—
1079C2×#102C2×D4311yescharacteristic, complemented
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—21no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41C22×D4311yescharacteristic
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—864no—
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8C22×D4311yescharacteristic
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127—431no—
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124C22×D4311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—431no—
1161#123—431no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—21no—
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⋊Q8C22×D4311yescharacteristic
1192#121—21no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—21no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—861no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4C22×D4311yescharacteristic
1278C2×C4⋊C4C22×D4311yescharacteristic
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
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#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8—431no—
1362C24—21no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—22no—
1367#41—41no—
1368#41—82no—
1369#41—862no—
1370#41—3442no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8—861no—
1378C2×Q8—3442no—
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—41no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—862no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4D4×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—3442no—
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—1721no—
1444SD16—41no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—1721no—
1450D8—22no—
1451D8—41no—
1452D8—434no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459M16—41no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463C2×C8—41no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—862no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4D4×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—431no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1558C22⋊C4D4×D4311yescharacteristic
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—81no—
1578C23—81no—
1579C23—431no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23C2×D4×D4311yescharacteristic
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—861no—
1598Q8—861no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—1721no—
1602Q8—1722no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—41no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—81no—
1613D4—81no—
1614D4—432no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—861no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—1722no—
1629D4—1721no—
1630D4—1721no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—431no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—1722no—
1678C2×C4—1721no—
1679C2×C4—1721no—
1680C2×C4—1722no—
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—432no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—861no—
1711C22—862no—
1712C22—861no—
1713C22—861no—
1714C22—3444no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373411yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—81no—
1754C2—3441no—
1755C2—3441no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914807911yescharacteristic
1759C2#1914937111yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3306C2
socleC22×C43C23×D4
hypercenter#3306D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #19148543C2semidirect
2. #19148530C2semidirect
3. #19147683C2semidirect
4. #19147493C2semidirect
5. #19147388C2semidirect
6. #19147347C2semidirect
7. #19147190C2semidirect
8. #19147143C2semidirect
9. #19147113C2semidirect
10. #19146832C2semidirect
11. #19146812C2semidirect
12. #19146753C2semidirect
13. #19146732C2semidirect
14. #19146637C2semidirect
15. #19146202C2semidirect
16. #19146078C2semidirect
17. #19146073C2semidirect
18. #19145273C2semidirect
19. #19145211C2semidirect
20. #19145185C2semidirect
21. #19144867C2semidirect
22. #19144832C2semidirect
23. #19144784C2semidirect
24. #19144776C2semidirect
25. #19144697C2semidirect
26. #19144683C2semidirect
27. #19143574C2semidirect
28. #19143444C2semidirect
29. #19143421C2semidirect
30. #19143408C2semidirect
31. C43×#3306C2semidirect
35. #14583632C22semidirect
36. #14583631C22semidirect
37. #14583620C22semidirect
38. #14583614C22semidirect
40. #14583610C22semidirect
43. #14583584C22semidirect
48. D4×Dic86C22semidirect
51. #14583545C22semidirect
55. #14583533C22semidirect
56. D4×C22⋊D43C22semidirect
57. #14583523C22semidirect
58. #14583522C22semidirect
59. #14583518C22semidirect
60. #14583502C22semidirect
65. #14583444C22semidirect
66. #14583430C22semidirect
72. #14583380C22semidirect
73. #14583374C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. #41×Dic43C22semidirect
77. C2×#13063287C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583295C22semidirect
81. #14583287C22semidirect
82. #14583285C22semidirect
83. #14583281C22semidirect
84. #14583262C22semidirect
85. #14583259C22semidirect
86. #14583257C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583243C22semidirect
90. #14583241C22semidirect
91. #14583239C22semidirect
92. #14583225C22semidirect
93. #14583224C22semidirect
94. #14583221C22semidirect
95. #14583220C22semidirect
96. #14583220C22semidirect
97. #14583217C22semidirect
98. #14583217C22semidirect
99. #14583204C22semidirect
100. #14583201C22semidirect
101. #14583197C22semidirect
102. #14583197C22semidirect
103. #14583189C22semidirect
104. #14583188C22semidirect
105. #14583188C22semidirect
106. #14583188C22semidirect
107. #14583183C22semidirect
108. #14583180C22semidirect
109. #14583176C22semidirect
110. #14583156C22semidirect
112. #14583150C22semidirect
113. #14583150C22semidirect
114. #14583147C22semidirect
115. #14583145C22semidirect
116. #14583143C22semidirect
117. #14583135C22semidirect
118. #14583131C22semidirect
119. #14583127C22semidirect
120. #14583124C22semidirect
121. #14583119C22semidirect
122. #14583117C22semidirect
123. #14583115C22semidirect
124. #14583114C22semidirect
125. #14583112C22semidirect
126. #14583111C22semidirect
128. #14583093C22semidirect
130. #14583092C22semidirect
131. #14583061C22semidirect
132. #14583059C22semidirect
133. #14583051C22semidirect
134. #14583048C22semidirect
136. #14583035C22semidirect
138. #14583033C22semidirect
139. #14583032C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
143. #14583012C22semidirect
144. #14583011C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583008C22semidirect
152. #14583003C22semidirect
153. #14583002C22semidirect
154. #14583002C22semidirect
155. #14583000C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582990C22semidirect
159. #14582990C22semidirect
160. #14582986C22semidirect
161. #14582984C22semidirect
162. #14582984C22semidirect
163. D8×Dic43C22semidirect
165. C4×#10621882C22semidirect
167. #14582979C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582977C22semidirect
171. #14582975C22semidirect
172. #14582973C22semidirect
173. #14582973C22semidirect
174. #14582970C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582939C22semidirect
179. #14582939C22semidirect
180. #14582934C22semidirect
181. #14582905C22semidirect
182. #14582902C22semidirect
183. #14582902C22semidirect
184. #14582896C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
188. C43×#547C22semidirect
189. C43×#546C22semidirect
190. C43×#489C22semidirect
191. C43×#483C22semidirect
192. C43×#481C22semidirect
193. C43×#476C22semidirect
194. C43×#469C22semidirect
195. C43×#465C22semidirect
196. C43×#463C22semidirect
198. C43×#447C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#102×C43C22semidirect
616. #10621882#41semidirect
883. #3306D43semidirect
930. #547C2×D43semidirect
936. #546C2×D43semidirect
969. #489C2×D43semidirect
975. #483C2×D43semidirect
983. #481C2×D43semidirect
992. #476C2×D43semidirect
1000. #469C2×D43semidirect
1007. #465C2×D43semidirect
1015. #463C2×D43semidirect
1031. #447C2×D43semidirect
1043. #442C2×D43semidirect
1067. #435C2×D43semidirect
1077. #417C2×D43semidirect
1079. C2×#102C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485432
#191485302
#191476832
#191474932
#191473882
#191473472
#191471902
#191471432
#191471132
#191468322
#191468122
#191467532
#191467322
#191466372
#191462022
#191460782
#191460732
#191452732
#191452112
#191451852
#191448672
#191448322
#191447842
#191447762
#191446972
#191446832
#191435742
#191434442
#191434212
#191434082
C43×#33062
#6150543