Finite Group Databasebeta

← #25968302

Subgroups — #25968302

Order 11008.

2058 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148484C211yesmaximal, characteristic, complemented
2#19148385C211yesmaximal, characteristic, complemented
3#19145710C211yesmaximal, characteristic, complemented
4#19145709C211yesmaximal, characteristic, complemented
5#19145702C211yesmaximal, characteristic, complemented
6#19145701C211yesmaximal, characteristic, complemented
7#19145696C211yesmaximal, characteristic, complemented
8#19145693C211yesmaximal, characteristic, complemented
9#19145688C211yesmaximal, characteristic, complemented
10#19145685C211yesmaximal, characteristic, complemented
11#19145573C211yesmaximal, characteristic, complemented
12#19145572C211yesmaximal, characteristic, complemented
13#19145567C211yesmaximal, characteristic, complemented
14#19145566C211yesmaximal, characteristic, complemented
15#19145561C211yesmaximal, characteristic, complemented
16#19145560C211yesmaximal, characteristic, complemented
17#19145555C211yesmaximal, characteristic, complemented
18#19145056C211yesmaximal, characteristic, complemented
19#495×D43C211yesmaximal, characteristic, complemented
20#19144978C211yesmaximal, characteristic, complemented
21#19144916C211yesmaximal, characteristic, complemented
22#19144123C211yesmaximal, characteristic, complemented
23#19144114C211yesmaximal, characteristic, complemented
24#19144105C211yesmaximal, characteristic, complemented
25#19144096C211yesmaximal, characteristic, complemented
26#19143885C211yesmaximal, characteristic, complemented
27#19143876C211yesmaximal, characteristic, complemented
28#19143867C211yesmaximal, characteristic, complemented
29#19143858C211yesmaximal, characteristic, complemented
30#19143234C211yesmaximal, characteristic, complemented
31C43×#3211C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic
36C2×#13063352C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic
38C2×Q16×D43C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic, complemented
41C2×D8×D43C2211yescharacteristic
42#14583633—21no—
43#14583632—21no—
44#14583617—21no—
45#14583616—21no—
46#14583578—21no—
47#14583577—21no—
48#14583574—21no—
49#14583573—21no—
50#14583557—21no—
51#14583557—21no—
52#14583542—21no—
53#14583542—21no—
54#14583539—21no—
55#14583539—21no—
56#14583539—21no—
57#14583539—21no—
58#14583522C2211yescharacteristic, complemented
59#14583521C2211yescharacteristic, complemented
60#14583516C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic, complemented
62#14583473C2211yescharacteristic, complemented
63#14583472C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583469C2211yescharacteristic, complemented
66#14583467C2211yescharacteristic
67#14583467C2211yescharacteristic, complemented
68#14583466C2211yescharacteristic, complemented
69#14583465C2211yescharacteristic
70#14583455C2211yescharacteristic, complemented
71#14583449C2211yescharacteristic, complemented
72#14583448C2211yescharacteristic
73#14583448C2211yescharacteristic, complemented
74#14583434C2211yescharacteristic, complemented
75#14583433C2211yescharacteristic, complemented
76#14583428C2211yescharacteristic, complemented
77#124×D43C2211yescharacteristic
78#124×D43C2211yescharacteristic, complemented
79#124×D43C2211yescharacteristic, complemented
80#14583375C2211yescharacteristic, complemented
81#14583371C2211yescharacteristic, complemented
82C4×#10621898C2211yescharacteristic
83#14583292C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583287C2211yescharacteristic, complemented
86#14583285C2211yescharacteristic, complemented
87#14583284C2211yescharacteristic, complemented
88#14583283C2211yescharacteristic, complemented
89#14583283C2211yescharacteristic, complemented
90#14583282C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583281C2211yescharacteristic, complemented
94#14583281C2211yescharacteristic, complemented
95#14583280C2211yescharacteristic, complemented
96#14583280C2211yescharacteristic, complemented
97#14583260C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583257C2211yescharacteristic, complemented
100#14583257C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583256C2211yescharacteristic, complemented
103#14583254C2211yescharacteristic, complemented
104#14583254C2211yescharacteristic, complemented
105#14583253C2211yescharacteristic, complemented
106#14583253C2211yescharacteristic, complemented
107#14583248C2211yescharacteristic, complemented
108#14583248C2211yescharacteristic, complemented
109#14583244C2211yescharacteristic, complemented
110#14583244C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic, complemented
113#14583120C2211yescharacteristic, complemented
114#14583119C2211yescharacteristic, complemented
115#14583118C2211yescharacteristic, complemented
116#14583118C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic, complemented
118#14583116C2211yescharacteristic, complemented
119#14583113C2211yescharacteristic, complemented
120#14583112C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583109C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583105C2211yescharacteristic, complemented
128#14583104C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583100C2211yescharacteristic, complemented
132#14583099C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic, complemented
134#14583097C2211yescharacteristic, complemented
135#14583095C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic, complemented
137#14583093C2211yescharacteristic, complemented
138#14583092C2211yescharacteristic, complemented
139#14583064C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583063C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583059C2211yescharacteristic, complemented
146#14583058C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583055C2211yescharacteristic, complemented
149#14583053C2211yescharacteristic, complemented
150#14583051C2211yescharacteristic, complemented
151#14583050C2211yescharacteristic, complemented
152#14583048C2211yescharacteristic, complemented
153#14583047C2211yescharacteristic, complemented
154#14583046C2211yescharacteristic
155#14583046C2211yescharacteristic, complemented
156#14583045C2211yescharacteristic
157#14583043C2211yescharacteristic, complemented
158#14583042C2211yescharacteristic
159#14583042C2211yescharacteristic, complemented
160#14583041C2211yescharacteristic
161#14583039C2211yescharacteristic, complemented
162#14583038C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic, complemented
164#14583034C2211yescharacteristic
165#14583033C2211yescharacteristic
166#14583031C2211yescharacteristic
167#14582959C2211yescharacteristic, complemented
168#14582959C2211yescharacteristic, complemented
169#14582957C2211yescharacteristic, complemented
170#14582957C2211yescharacteristic, complemented
171#14582952C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582950C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582906C2211yescharacteristic, complemented
178#14582902C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582894C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#529C2211yescharacteristic, complemented
189C2×#124×C43C2211yescharacteristic, complemented
190C43×#495C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#463C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic, complemented
200C43×#448C2211yescharacteristic, complemented
201C43×#447C2211yescharacteristic
202C43×#431C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621902—21no—
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900—21no—
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C2×Q8×D43—21no—
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C22×C22⋊D43—21no—
223C22×C22⋊D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228#13063357—42no—
229#13063354—42no—
230#13063352—42no—
231#13063349—42no—
232C2×Dic172C2311yescharacteristic
233C2×Dic172C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238Q16×D43—42no—
239C2×#10621873C2311yescharacteristic
240C2×#10621873C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249C2×#10621884C2311yescharacteristic
250C2×#10621884C2311yescharacteristic
251SD16×D43—42no—
252SD16×D43—42no—
253C2×D344C2311yescharacteristic
254C2×D344C2311yescharacteristic
255C2×#10621882C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259D8×D43—42no—
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264#13063325C2311yescharacteristic
265#13063324—21no—
266#13063324C2311yescharacteristic
267#13063324C2311yescharacteristic
268#13063323C2311yescharacteristic
269#13063323C2311yescharacteristic
270#13063322C2311yescharacteristic
271#13063321—21no—
272#13063321C2311yescharacteristic
273#13063321C2311yescharacteristic
274#13063320—21no—
275#13063320—21no—
276#13063319—21no—
277#13063319—21no—
278#13063318—21no—
279#13063318—21no—
280#13063318—21no—
281#13063317C2311yescharacteristic
282#13063314C2311yescharacteristic
283#13063314C2311yescharacteristic
284#13063314C2311yescharacteristic
285#13063313—21no—
286#13063313C2311yescharacteristic
287#13063313C2311yescharacteristic
288#13063313C2311yescharacteristic
289#13063312—21no—
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063311—21no—
294#13063311—21no—
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063311—21no—
301#13063311—21no—
302#13063311—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063308—21no—
307#13063308—21no—
308#13063308—21no—
309#13063308—21no—
310#13063307—21no—
311#13063307—21no—
312#13063307—21no—
313#13063307—21no—
314#13063307—21no—
315#13063307—21no—
316#13063307—21no—
317#13063306—21no—
318#13063305—21no—
319#13063305C2311yescharacteristic
320#13063304—21no—
321#13063304C2311yescharacteristic
322#13063303—21no—
323#13063303—21no—
324#13063303—21no—
325#13063302—21no—
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063301—21no—
331#13063301—21no—
332#13063301C2311yescharacteristic
333#13063300C2311yescharacteristic
334#13063299—21no—
335#13063299—21no—
336#13063299C2311yescharacteristic
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063296—21no—
346#13063296—21no—
347#13063296C2311yescharacteristic
348#13063295—21no—
349#13063295—21no—
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063294—21no—
354#13063294—21no—
355#13063293—21no—
356Q8×Dic43C2311yescharacteristic
357C4×Dic86—21no—
358C4×Dic86D411yescharacteristic
359C4×Dic86D411yescharacteristic
360C4×Dic86C2311yescharacteristic
361#13063290—21no—
362#13063290—21no—
363#13063290—21no—
364#13063290C2311yescharacteristic
365C4×D172—21no—
366C4×D172—21no—
367C4×D172D411yescharacteristic
368C4×D172D411yescharacteristic
369C4×D172C2311yescharacteristic
370D4×Dic43C2311yescharacteristic
371#13063287—21no—
372#13063287C2311yescharacteristic
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43D411yescharacteristic
376C4×C22⋊D43D411yescharacteristic
377C4×C22⋊D43D411yescharacteristic
378C4×C22⋊D43D411yescharacteristic
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384(C22⋊D43)⋊C4—21no—
385#13063284C2311yescharacteristic
386#13063283—21no—
387#13063283—21no—
388#13063283C2311yescharacteristic
389#13063283C2311yescharacteristic
390#13063282—21no—
391#13063282—21no—
392#13063282C2311yescharacteristic
393#13063282C2311yescharacteristic
394#13063281—21no—
395C2×(C2×D43)⋊C4—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C22⋊C4×D43—21no—
403C42×D43C2311yescharacteristic
404C42×D43C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406C4⋊(C43⋊C8)C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C22×Q8×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×D8×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457#126×C43—21no—
458#125×C43C2311yescharacteristic
459#124×C43—21no—
460#124×C43—21no—
461#124×C43C2311yescharacteristic
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#124×C43C2311yescharacteristic
466#123×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43C2311yescharacteristic
469C4×Q8×C43C2311yescharacteristic
470C4×D4×C43—21no—
471C4×D4×C43C2311yescharacteristic
472#117×C43—21no—
473C2×C22⋊C4×C43—21no—
474C2×C22⋊C4×C43—21no—
475C2×C42×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C4×C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C2×Q8×C43—21no—
495C2×Q8×C43—41no—
496C2×Q8×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—41no—
503C2×D4×C43—41no—
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2×D411yescharacteristic
510C22×C4×C43C2×D411yescharacteristic
511C22×C4×C43C2411yescharacteristic
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—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—44no—
526C2×C22⋊D43—44no—
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532#10621902—22no—
533#10621902—22no—
534#10621902—41no—
535#10621902—41no—
536#10621902—44no—
537Q8×D43—22no—
538Q8×D43—22no—
539Q8×D43—22no—
540Q8×D43—22no—
541Q8×D43—41no—
542Q8×D43—41no—
543Q8×D43—44no—
544#10621900—22no—
545#10621900—22no—
546#10621900—41no—
547#10621900—41no—
548#10621900—44no—
549D4×D43—22no—
550D4×D43—22no—
551D4×D43—22no—
552D4×D43—22no—
553D4×D43—41no—
554D4×D43—41no—
555D4×D43—44no—
556#10621898—22no—
557#10621898—22no—
558#10621898—41no—
559#10621898—41no—
560#10621898—41no—
561#10621898—41no—
562#10621898—44no—
563#10621898—44no—
564C2×D172—21no—
565C2×D172—21no—
566C2×D172—21no—
567C2×D172—21no—
568C2×D172—21no—
569C2×D172C2×D411yescharacteristic
570C2×D172C2411yescharacteristic
571C2×D172C2411yescharacteristic
572C2×D172C2411yescharacteristic
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2×D411yescharacteristic
585C2×C4×D43C2×D411yescharacteristic
586C2×C4×D43C2411yescharacteristic
587C2×C4×D43C2411yescharacteristic
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—21no—
593C2×Dic86C2×D411yescharacteristic
594C2×Dic86C2411yescharacteristic
595C2×Dic86C2411yescharacteristic
596C2×Dic86C2411yescharacteristic
597Q16×C43—41no—
598Q16×C43—41no—
599SD16×C43—41no—
600SD16×C43—41no—
601SD16×C43—41no—
602SD16×C43—41no—
603D8×C43—41no—
604D8×C43—41no—
605C2×C8×C43C2411yescharacteristic
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C42×C43—21no—
629C42×C43C2×D411yescharacteristic
630C42×C43C2×D411yescharacteristic
631C42×C43C2411yescharacteristic
632C42×C43C2411yescharacteristic
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43C2×D411yescharacteristic
643C22⋊Dic43C2×D411yescharacteristic
644#10621885—41no—
645#10621885—41no—
646#10621885—41no—
647#10621885—41no—
648#10621884—41no—
649#10621884—41no—
650#10621884—41no—
651#10621884—41no—
652#10621883—41no—
653#10621883—41no—
654#10621883—41no—
655#10621883—41no—
656#10621882—41no—
657#10621882—41no—
658#10621882—41no—
659#10621882—41no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4C2×D411yescharacteristic
681(C2×D43)⋊C4C2×D411yescharacteristic
682(C2×D43)⋊C4C2×D411yescharacteristic
683(C2×D43)⋊C4C2×D411yescharacteristic
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43C2×D411yescharacteristic
689C4⋊Dic43C2×D411yescharacteristic
690C4⋊Dic43C2411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706Dic43⋊C4C2×D411yescharacteristic
707Dic43⋊C4C2×D411yescharacteristic
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43C2×D411yescharacteristic
714C4×Dic43C2×D411yescharacteristic
715C4×Dic43C2×D411yescharacteristic
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2411yescharacteristic
718C4×Dic43C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—41no—
724Dic172—41no—
725D344—41no—
726D344—41no—
727#10621873—41no—
728#10621873—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—22no—
732#10621872—22no—
733C8×D43—22no—
734C8×D43—22no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43—42no—
739C23×C43—81no—
740C23×C43—81no—
741C23×C43C22×D411yescharacteristic
742C22×D43—21no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—42no—
746C22×D43—42no—
747C22×D43—42no—
748C22×D43—81no—
749C22×D43—81no—
750C22×D43—81no—
751C22×D43—81no—
752C22×D43—81no—
753C22×D43—81no—
754C22×D43C22×D411yescharacteristic
755C22×D43C22×D411yescharacteristic
756Q8×C43—21no—
757Q8×C43—21no—
758Q8×C43—21no—
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—42no—
763D4×C43—21no—
764D4×C43—21no—
765D4×C43—21no—
766D4×C43—21no—
767D4×C43—21no—
768D4×C43—21no—
769D4×C43—42no—
770D4×C43—81no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—41no—
779C2×C4×C43—41no—
780C2×C4×C43—42no—
781C2×C4×C43—81no—
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C22×D411yescharacteristic
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C22×D411yescharacteristic
787C2×C4×C43C2511yescharacteristic
788C22⋊D43—22no—
789C22⋊D43—22no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—42no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C22⋊D43—81no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—42no—
809C2×Dic43—42no—
810C2×Dic43—81no—
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813C2×Dic43C22×D411yescharacteristic
814C2×Dic43C22×D411yescharacteristic
815C2×Dic43C22×D411yescharacteristic
816C2×Dic43C22×D411yescharacteristic
817D172—22no—
818D172—21no—
819D172—21no—
820D172—21no—
821D172—21no—
822D172—21no—
823D172—21no—
824D172—42no—
825D172—42no—
826D172—81no—
827D172—81no—
828D172—81no—
829C4×D43—21no—
830C4×D43—21no—
831C4×D43—41no—
832C4×D43—41no—
833C4×D43—41no—
834C4×D43—41no—
835C4×D43—42no—
836C4×D43—42no—
837C4×D43—42no—
838C4×D43—42no—
839C4×D43—42no—
840C4×D43—42no—
841C4×D43—42no—
842C4×D43—81no—
843C4×D43—81no—
844C4×D43H(5,𝔽2)12yes—
845C4×D43H(5,𝔽2)12yes—
846Dic86—22no—
847Dic86—21no—
848Dic86—21no—
849Dic86—21no—
850Dic86—21no—
851Dic86—21no—
852Dic86—21no—
853Dic86—42no—
854Dic86—42no—
855Dic86—42no—
856Dic86—81no—
857Dic86—81no—
858C8×C43—21no—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C43⋊C8—21no—
863C43⋊C8—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866#60819—431nomaximal, Sylow
867C22×C43—21no—
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—162no—
880C22×C43C23×D411yescharacteristic
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—162no—
896C2×D43—162no—
897C2×D43—162no—
898C2×D43#53512yes—
899C4×C43—21no—
900C4×C43—21no—
901C4×C43—21no—
902C4×C43—21no—
903C4×C43—21no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43—41no—
909C4×C43C2×H(5,𝔽2)11yescharacteristic
910C4×C43C2×H(5,𝔽2)11yescharacteristic
911Dic43—21no—
912Dic43—21no—
913Dic43—21no—
914Dic43—21no—
915Dic43—21no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921Dic43#53512yes—
922#3510—431no—
923#3500—431no—
924#3225—431no—
925#3225—431no—
926#3225—431no—
927#3225—431no—
928#3224—431no—
929#3224—431no—
930#3224—431no—
931#3224—431no—
932#3212—431no—
933#3212—431no—
934#3212—431no—
935#3212—431no—
936#3211—431no—
937#3211—431no—
938#3211—431no—
939#3211D4311yescharacteristic, complemented
940#3153—431no—
941C2×#495—431no—
942#3140—431no—
943#3131—431no—
944#3044—431no—
945#3043—431no—
946#3042—431no—
947#3041—431no—
948#3011—431no—
949#3010—431no—
950#3009—431no—
951#3008—431no—
952#2922—431no—
953C2×C43—41no—
954C2×C43—81no—
955C2×C43—81no—
956C2×C43—81no—
957C2×C43C2×#53511yescharacteristic
958C2×C43#358411yescharacteristic
959C2×C43#358411yescharacteristic
960D43—22no—
961D43—41no—
962D43—81no—
963D43—81no—
964D43—81no—
965C2×2−1+4—431no—
966C2×H(5,𝔽2)—431no—
967C2×#137—431no—
968C2×#137—431no—
969C2×AGL(1,ℤ/8)—431no—
970C2×AGL(1,ℤ/8)—431no—
971C22×Q16—431no—
972C22×SD16—431no—
973C22×SD16—431no—
974C22×D8—431no—
975#559—861no—
976#559—861no—
977#556—861no—
978#556—861no—
979#551—861no—
980#551—861no—
981#551—861no—
982#551—861no—
983#548—861no—
984#548—861no—
985#546—861no—
986#546—861no—
987#546—861no—
988#546—861no—
989#546—861no—
990#546—861no—
991#542—431no—
992#542—431no—
993#542—431no—
994#542—431no—
995#536—431no—
996#536—431no—
997#536—431no—
998#536—431no—
999#535—431no—
1000#535—431no—
1001#535—431no—
1002#535—431no—
1003#533—431no—
1004#532—431no—
1005#532—431no—
1006#532—431no—
1007#529—431no—
1008#529—431no—
1009#529—431no—
1010#529C2×D4311yescharacteristic, complemented
1011C2×#124—431no—
1012C2×#124—431no—
1013C2×#124—431no—
1014C2×#124C2×D4311yescharacteristic, complemented
1015#519—431no—
1016#518—431no—
1017C4×#41—431no—
1018#497—431no—
1019#497—431no—
1020#496—431no—
1021#496—431no—
1022#495—431no—
1023#495—431no—
1024#495—431no—
1025#495—431no—
1026#495—431no—
1027#495—431no—
1028#495—431no—
1029#495—431no—
1030#495—431no—
1031#495—431no—
1032#495C2×D4311yescharacteristic, complemented
1033#495C2×D4311yescharacteristic, complemented
1034#489—431no—
1035#489—431no—
1036#489—431no—
1037#489—431no—
1038#488—431no—
1039#488—431no—
1040#488—431no—
1041#488—431no—
1042#488—431no—
1043#488—431no—
1044#488C2×D4311yescharacteristic, complemented
1045#488C2×D4311yescharacteristic, complemented
1046#487—431no—
1047#487—431no—
1048#486—431no—
1049#486—431no—
1050#464—431no—
1051#464—431no—
1052#464—431no—
1053#464—431no—
1054#464—431no—
1055#464—431no—
1056#464C2×D4311yescharacteristic, complemented
1057#464C2×D4311yescharacteristic, complemented
1058#463—431no—
1059#463—431no—
1060#463—431no—
1061#463—431no—
1062#463—431no—
1063#463—431no—
1064#463C2×D4311yescharacteristic, complemented
1065#463C2×D4311yescharacteristic, complemented
1066#462—431no—
1067#462—431no—
1068#462—431no—
1069#462—431no—
1070#461—431no—
1071#461—431no—
1072#461—431no—
1073#461—431no—
1074#460—431no—
1075#460—431no—
1076#460—431no—
1077#460—431no—
1078#459—431no—
1079#459—431no—
1080#459—431no—
1081#459—431no—
1082#452—431no—
1083#452—431no—
1084#452—431no—
1085#452—431no—
1086#452—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#451—431no—
1091#451—431no—
1092#451—431no—
1093#451C2×D4311yescharacteristic, complemented
1094#450—431no—
1095#450—431no—
1096#450—431no—
1097#450C2×D4311yescharacteristic, complemented
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#449—431no—
1105#449—431no—
1106#448—431no—
1107#448—431no—
1108#448—431no—
1109#448C2×D4311yescharacteristic, complemented
1110#447—431no—
1111#447—431no—
1112#447—431no—
1113#447C2×D4311yescharacteristic
1114#433—431no—
1115#433—431no—
1116#433—431no—
1117#433—431no—
1118#431—431no—
1119#431—431no—
1120#431—431no—
1121#431C2×D4311yescharacteristic, complemented
1122#424—431no—
1123#424—431no—
1124#419—431no—
1125#419—431no—
1126#418—431no—
1127#418—431no—
1128#416—431no—
1129#416—431no—
1130#416—431no—
1131#416—431no—
1132#408—431no—
1133#408—431no—
1134C4×M16—431no—
1135C2×C4×C8—431no—
1136C43#6081911yescharacteristic, complemented, Sylow
11372−1+4—1722no—
11382−1+4—1722no—
1139H(5,𝔽2)—1722no—
1140H(5,𝔽2)—1722no—
1141C2×#41—431no—
1142C2×#41—431no—
1143C2×#41—431no—
1144C2×#41—431no—
1145C2×#41—431no—
1146C2×#41—431no—
1147C2×#41—431no—
1148C2×#41—861no—
1149C2×#41—861no—
1150C2×#41—861no—
1151C2×#41—861no—
1152C22×Q8—431no—
1153C22×Q8—431no—
1154C22×Q8—431no—
1155C22×Q8—861no—
1156C22×Q8C22×D4311yescharacteristic
1157C22×D4—431no—
1158C22×D4—431no—
1159C22×D4—431no—
1160C22×D4—861no—
1161C22×D4—861no—
1162C22×D4—861no—
1163C22×D4C22×D4311yescharacteristic
1164#137—1722no—
1165#137—1722no—
1166AGL(1,ℤ/8)—1722no—
1167AGL(1,ℤ/8)—1722no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—1722no—
1175C2×Q16C22×D4311yescharacteristic
1176C2×Q16C22×D4311yescharacteristic
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16—1722no—
1190C2×SD16—1722no—
1191C2×SD16C22×D4311yescharacteristic
1192C2×SD16C22×D4311yescharacteristic
1193C2×SD16C22×D4311yescharacteristic
1194C2×SD16C22×D4311yescharacteristic
1195C2×D8—431no—
1196C2×D8—431no—
1197C2×D8—431no—
1198C2×D8—431no—
1199C2×D8—431no—
1200C2×D8—431no—
1201C2×D8—1722no—
1202C2×D8C22×D4311yescharacteristic
1203C2×D8C22×D4311yescharacteristic
1204C2×M16—431no—
1205C2×M16—431no—
1206C22×C8—431no—
1207C22×C8—431no—
1208C4⋊Q8—431no—
1209C4⋊Q8—431no—
1210C4⋊Q8—431no—
1211C4⋊Q8—431no—
1212C4⋊Q8—431no—
1213C4⋊Q8—861no—
1214#127—431no—
1215#127—431no—
1216#127—431no—
1217#127—861no—
1218#126—21no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#126—861no—
1224#126—861no—
1225#126—861no—
1226#125—431no—
1227#125C22×D4311yescharacteristic
1228#124—21no—
1229#124—21no—
1230#124—431no—
1231#124—431no—
1232#124—431no—
1233#124—431no—
1234#124—431no—
1235#124—431no—
1236#124—431no—
1237#124—431no—
1238#124—431no—
1239#124—861no—
1240#124—861no—
1241#124—861no—
1242#124—861no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124—861no—
1248#124—861no—
1249#124—861no—
1250#124—861no—
1251#124C22×D4311yescharacteristic
1252#124C22×D4311yescharacteristic
1253#124C22×D4311yescharacteristic
1254#124C22×D4311yescharacteristic
1255#124C22×D4311yescharacteristic
1256#123—21no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—431no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8—861no—
1283C22⋊Q8—861no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8C22×D4311yescharacteristic
1288#121—431no—
1289#121—431no—
1290#121—431no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121C22×D4311yescharacteristic
1304#120—861no—
1305#120—861no—
1306#120—861no—
1307#120—861no—
1308#120—861no—
1309#120—861no—
1310#120—861no—
1311#120—861no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—431no—
1316C4×Q8—431no—
1317C4×Q8—861no—
1318C4×Q8—861no—
1319C4×Q8—861no—
1320C4×Q8—861no—
1321C4×Q8C22×D4311yescharacteristic
1322C4×D4—21no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4C22×D4311yescharacteristic
1344#117—21no—
1345#117—431no—
1346#117—431no—
1347#117—431no—
1348#117—431no—
1349#117—431no—
1350#117—861no—
1351#117—861no—
1352#117—861no—
1353#117—861no—
1354#117—861no—
1355C2×C22⋊C4—21no—
1356C2×C22⋊C4—21no—
1357C2×C22⋊C4—861no—
1358C2×C22⋊C4—861no—
1359C2×C22⋊C4—861no—
1360C2×C22⋊C4—861no—
1361C2×C22⋊C4—861no—
1362C2×C22⋊C4—861no—
1363C2×C22⋊C4—861no—
1364C2×C22⋊C4—861no—
1365C2×C42—431no—
1366C2×C42—431no—
1367C2×C42C22×D4311yescharacteristic
1368C4⋊C8—431no—
1369C4⋊C8—431no—
1370C4⋊C8—431no—
1371C4⋊C8—431no—
1372C4⋊C8—431no—
1373C4⋊C8—431no—
1374C4⋊C8C22×D4311yescharacteristic
1375C4⋊C8C22×D4311yescharacteristic
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103—431no—
1388#103C22×D4311yescharacteristic
1389#103C22×D4311yescharacteristic
1390#103C22×D4311yescharacteristic
1391#103C22×D4311yescharacteristic
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102—431no—
1401#102—431no—
1402#102—431no—
1403#102—431no—
1404#102C22×D4311yescharacteristic
1405#102C22×D4311yescharacteristic
1406#102C22×D4311yescharacteristic
1407#102C22×D4311yescharacteristic
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8—431no—
1413C22⋊C8—431no—
1414C22⋊C8C22×D4311yescharacteristic
1415C22⋊C8C22×D4311yescharacteristic
1416#97—431no—
1417#97—431no—
1418C4×C8—431no—
1419C4×C8—431no—
1420C4×C8—431no—
1421C4×C8—431no—
1422C4×C8C22×D4311yescharacteristic
1423C4×C8C22×D4311yescharacteristic
1424C24—21no—
1425C24—861no—
1426C24—861no—
1427C24—861no—
1428#41—862no—
1429#41—862no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—862no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1721no—
1438#41—1724no—
1439#41—1724no—
1440#41—1721no—
1441#41—1721no—
1442#41—1721no—
1443#41—1721no—
1444#41—1724no—
1445#41—1724no—
1446C2×Q8—21no—
1447C2×Q8—41no—
1448C2×Q8—41no—
1449C2×Q8—431no—
1450C2×Q8—431no—
1451C2×Q8—431no—
1452C2×Q8—431no—
1453C2×Q8—861no—
1454C2×Q8—861no—
1455C2×Q8—861no—
1456C2×Q8—861no—
1457C2×Q8—861no—
1458C2×Q8—862no—
1459C2×Q8—862no—
1460C2×Q8—862no—
1461C2×Q8—862no—
1462C2×Q8—1721no—
1463C2×Q8—1721no—
1464C2×Q8—1724no—
1465C2×Q8C23×D4311yescharacteristic
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—41no—
1471C2×D4—41no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—862no—
1482C2×D4—862no—
1483C2×D4—862no—
1484C2×D4—862no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—1721no—
1501C2×D4—1721no—
1502C2×D4—1724no—
1503C2×D4—1724no—
1504C2×D4—1724no—
1505C2×D4C23×D4311yescharacteristic
1506C2×D4C23×D4311yescharacteristic
1507C2×D4C23×D4311yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—431no—
1511C22×C4—431no—
1512C22×C4—431no—
1513C22×C4—431no—
1514C22×C4—431no—
1515C22×C4—431no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4—861no—
1521C22×C4—861no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—861no—
1527C22×C4—861no—
1528C22×C4D4×D4311yescharacteristic
1529C22×C4D4×D4311yescharacteristic
1530C22×C4C23×D4311yescharacteristic
1531Q16—41no—
1532Q16—41no—
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538Q16—1721no—
1539SD16—41no—
1540SD16—41no—
1541SD16—41no—
1542SD16—41no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548SD16—1721no—
1549SD16—1721no—
1550SD16—1721no—
1551SD16—1721no—
1552SD16—1721no—
1553SD16—1721no—
1554SD16—1721no—
1555D8—41no—
1556D8—41no—
1557D8—1721no—
1558D8—1721no—
1559D8—1721no—
1560D8—1721no—
1561D8—1721no—
1562D8—1721no—
1563M16—862no—
1564M16—862no—
1565C2×C8—431no—
1566C2×C8—431no—
1567C2×C8—431no—
1568C2×C8—431no—
1569C2×C8—862no—
1570C2×C8—862no—
1571C2×C8C23×D4311yescharacteristic
1572C2×C8C23×D4311yescharacteristic
1573C2×C8C23×D4311yescharacteristic
1574C2×C8C23×D4311yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—431no—
1580C4⋊C4—431no—
1581C4⋊C4—431no—
1582C4⋊C4—431no—
1583C4⋊C4—431no—
1584C4⋊C4—431no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4C23×D4311yescharacteristic
1604C4⋊C4C23×D4311yescharacteristic
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—431no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C42—21no—
1654C42—431no—
1655C42—431no—
1656C42—431no—
1657C42—431no—
1658C42—431no—
1659C42—431no—
1660C42—861no—
1661C42—861no—
1662C42—861no—
1663C42—861no—
1664C42—861no—
1665C42D4×D4311yescharacteristic
1666C42D4×D4311yescharacteristic
1667C42C23×D4311yescharacteristic
1668C42C23×D4311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—431no—
1676C23—431no—
1677C23—861no—
1678C23—861no—
1679C23—861no—
1680C23—3441no—
1681C23—3441no—
1682C23—3441no—
1683C23—3441no—
1684C23—3441no—
1685C23—3441no—
1686C23—1722no—
1687C23—1722no—
1688C23—1722no—
1689C23C2×D4×D4311yescharacteristic
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—42no—
1697Q8—862no—
1698Q8—861no—
1699Q8—861no—
1700Q8—861no—
1701Q8—861no—
1702Q8—861no—
1703Q8—861no—
1704Q8—3441no—
1705Q8—3441no—
1706Q8—1722no—
1707Q8—1722no—
1708Q8—1722no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—42no—
1716D4—81no—
1717D4—862no—
1718D4—862no—
1719D4—862no—
1720D4—861no—
1721D4—861no—
1722D4—861no—
1723D4—861no—
1724D4—861no—
1725D4—861no—
1726D4—3441no—
1727D4—3441no—
1728D4—3441no—
1729D4—3441no—
1730D4—3441no—
1731D4—3441no—
1732D4—3441no—
1733D4—3441no—
1734D4—3441no—
1735D4—1722no—
1736D4—1722no—
1737D4—1722no—
1738D4—1722no—
1739D4—1722no—
1740D4—1722no—
1741D4—1722no—
1742D4—1722no—
1743D4—1722no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—42no—
1754C2×C4—81no—
1755C2×C4—431no—
1756C2×C4—432no—
1757C2×C4—432no—
1758C2×C4—431no—
1759C2×C4—431no—
1760C2×C4—431no—
1761C2×C4—431no—
1762C2×C4—431no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—861no—
1767C2×C4—861no—
1768C2×C4—861no—
1769C2×C4—861no—
1770C2×C4—3441no—
1771C2×C4—3441no—
1772C2×C4—3441no—
1773C2×C4—1721no—
1774C2×C4—1721no—
1775C2×C4—1721no—
1776C2×C4—1721no—
1777C2×C4—1722no—
1778C2×C4—1722no—
1779C2×C4—1722no—
1780C2×C4—1722no—
1781C2×C4—1722no—
1782C2×C4—1722no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4—1722no—
1786C2×C4C2×D4×D4311yescharacteristic
1787C2×C4C2×D4×D4311yescharacteristic
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C2×D4×D4311yescharacteristic
1791C2×C4C24×D4311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C8—861no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—162no—
1813C22—432no—
1814C22—861no—
1815C22—861no—
1816C22—861no—
1817C22—861no—
1818C22—861no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22—1721no—
1826C22—1721no—
1827C22—1721no—
1828C22—6882no—
1829C22—6882no—
1830C22—6882no—
1831C22C22×D4×D4311yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—432no—
1843C4—861no—
1844C4—861no—
1845C4—861no—
1846C4—861no—
1847C4—861no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4—1721no—
1852C4—1721no—
1853C4H(5,𝔽2)×D4311yescharacteristic
1854C4H(5,𝔽2)×D4311yescharacteristic
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—862no—
1860C2—3441no—
1861C2—3441no—
1862C2—3441no—
1863C2—1721no—
1864C2#535×D4311yescharacteristic
1865C2#1914936411yescharacteristic
1866C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3211C2
socleC22×C43C23×D4
hypercenter#3211D43
hypocenterC43#60819
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3211

Complements

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

NH ≅ G/Ntype
1. #19148484C2semidirect
2. #19148385C2semidirect
3. #19145710C2semidirect
4. #19145709C2semidirect
5. #19145702C2semidirect
6. #19145701C2semidirect
7. #19145696C2semidirect
8. #19145693C2semidirect
9. #19145688C2semidirect
10. #19145685C2semidirect
11. #19145573C2semidirect
12. #19145572C2semidirect
13. #19145567C2semidirect
14. #19145566C2semidirect
15. #19145561C2semidirect
16. #19145560C2semidirect
17. #19145555C2semidirect
18. #19145056C2semidirect
19. #495×D43C2semidirect
20. #19144978C2semidirect
21. #19144916C2semidirect
22. #19144123C2semidirect
23. #19144114C2semidirect
24. #19144105C2semidirect
25. #19144096C2semidirect
26. #19143885C2semidirect
27. #19143876C2semidirect
28. #19143867C2semidirect
29. #19143858C2semidirect
30. #19143234C2semidirect
31. C43×#3211C2semidirect
34. C2×#13063357C22semidirect
36. C2×#13063352C22semidirect
38. C2×Q16×D43C22semidirect
40. C2×SD16×D43C22semidirect
58. #14583522C22semidirect
59. #14583521C22semidirect
60. #14583516C22semidirect
61. #14583514C22semidirect
62. #14583473C22semidirect
65. #14583469C22semidirect
67. #14583467C22semidirect
68. #14583466C22semidirect
70. #14583455C22semidirect
71. #14583449C22semidirect
73. #14583448C22semidirect
74. #14583434C22semidirect
75. #14583433C22semidirect
76. #14583428C22semidirect
78. #124×D43C22semidirect
79. #124×D43C22semidirect
80. #14583375C22semidirect
81. #14583371C22semidirect
83. #14583292C22semidirect
84. #14583290C22semidirect
85. #14583287C22semidirect
86. #14583285C22semidirect
87. #14583284C22semidirect
88. #14583283C22semidirect
89. #14583283C22semidirect
90. #14583282C22semidirect
91. #14583281C22semidirect
92. #14583281C22semidirect
93. #14583281C22semidirect
94. #14583281C22semidirect
95. #14583280C22semidirect
96. #14583280C22semidirect
97. #14583260C22semidirect
98. #14583260C22semidirect
99. #14583257C22semidirect
100. #14583257C22semidirect
101. #14583256C22semidirect
102. #14583256C22semidirect
103. #14583254C22semidirect
104. #14583254C22semidirect
105. #14583253C22semidirect
106. #14583253C22semidirect
107. #14583248C22semidirect
108. #14583248C22semidirect
109. #14583244C22semidirect
110. #14583244C22semidirect
111. #14583124C22semidirect
112. #14583123C22semidirect
113. #14583120C22semidirect
114. #14583119C22semidirect
115. #14583118C22semidirect
116. #14583118C22semidirect
117. #14583117C22semidirect
118. #14583116C22semidirect
119. #14583113C22semidirect
120. #14583112C22semidirect
121. #14583111C22semidirect
122. #14583111C22semidirect
123. #14583110C22semidirect
124. #14583109C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583105C22semidirect
128. #14583104C22semidirect
129. #14583103C22semidirect
130. #14583102C22semidirect
131. #14583100C22semidirect
132. #14583099C22semidirect
133. #14583098C22semidirect
134. #14583097C22semidirect
135. #14583095C22semidirect
136. #14583094C22semidirect
137. #14583093C22semidirect
138. #14583092C22semidirect
139. #14583064C22semidirect
140. #14583063C22semidirect
141. #14583063C22semidirect
142. #14583062C22semidirect
143. #14583060C22semidirect
144. #14583059C22semidirect
145. #14583059C22semidirect
146. #14583058C22semidirect
147. #14583056C22semidirect
148. #14583055C22semidirect
149. #14583053C22semidirect
150. #14583051C22semidirect
151. #14583050C22semidirect
152. #14583048C22semidirect
153. #14583047C22semidirect
155. #14583046C22semidirect
157. #14583043C22semidirect
159. #14583042C22semidirect
161. #14583039C22semidirect
162. #14583038C22semidirect
163. #14583036C22semidirect
167. #14582959C22semidirect
168. #14582959C22semidirect
169. #14582957C22semidirect
170. #14582957C22semidirect
171. #14582952C22semidirect
172. #14582950C22semidirect
173. #14582950C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
176. #14582906C22semidirect
177. #14582906C22semidirect
180. #14582894C22semidirect
181. #14582894C22semidirect
186. C4×#10621872C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#529C22semidirect
189. C2×#124×C43C22semidirect
190. C43×#495C22semidirect
191. C43×#495C22semidirect
192. C43×#488C22semidirect
193. C43×#488C22semidirect
194. C43×#464C22semidirect
195. C43×#464C22semidirect
196. C43×#463C22semidirect
197. C43×#463C22semidirect
198. C43×#451C22semidirect
199. C43×#450C22semidirect
200. C43×#448C22semidirect
202. C43×#431C22semidirect
939. #3211D43semidirect
1010. #529C2×D43semidirect
1014. C2×#124C2×D43semidirect
1032. #495C2×D43semidirect
1033. #495C2×D43semidirect
1044. #488C2×D43semidirect
1045. #488C2×D43semidirect
1056. #464C2×D43semidirect
1057. #464C2×D43semidirect
1064. #463C2×D43semidirect
1065. #463C2×D43semidirect
1093. #451C2×D43semidirect
1097. #450C2×D43semidirect
1109. #448C2×D43semidirect
1121. #431C2×D43semidirect
1136. C43#60819semidirect

Maximal subgroups

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

subgroupindex
#191484842
#191483852
#191457102
#191457092
#191457022
#191457012
#191456962
#191456932
#191456882
#191456852
#191455732
#191455722
#191455672
#191455662
#191455612
#191455602
#191455552
#191450562
#495×D432
#191449782
#191449162
#191441232
#191441142
#191441052
#191440962
#191438852
#191438762
#191438672
#191438582
#191432342
C43×#32112
#6081943