Finite Group Databasebeta

← #25979902

Subgroups — #25979902

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148658C211yesmaximal, characteristic, complemented
2#19148631C211yesmaximal, characteristic, complemented
3#19147673C211yesmaximal, characteristic, complemented
4#19147497C211yesmaximal, characteristic, complemented
5#19147428C211yesmaximal, characteristic, complemented
6#19147311C211yesmaximal, characteristic, complemented
7#19147208C211yesmaximal, characteristic, complemented
8#19147080C211yesmaximal, characteristic, complemented
9#19147039C211yesmaximal, characteristic, complemented
10#19146912C211yesmaximal, characteristic, complemented
11#19146692C211yesmaximal, characteristic, complemented
12#19146671C211yesmaximal, characteristic, complemented
13#19146632C211yesmaximal, characteristic, complemented
14#19146551C211yesmaximal, characteristic, complemented
15#19146206C211yesmaximal, characteristic, complemented
16#19146116C211yesmaximal, characteristic, complemented
17#19146113C211yesmaximal, characteristic, complemented
18#19145262C211yesmaximal, characteristic, complemented
19#19145207C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144873C211yesmaximal, characteristic, complemented
22#19144852C211yesmaximal, characteristic, complemented
23#19144814C211yesmaximal, characteristic, complemented
24#19144778C211yesmaximal, characteristic, complemented
25#19144752C211yesmaximal, characteristic, complemented
26#19144728C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143466C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143399C211yesmaximal, characteristic, complemented
31C43×#3322C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583619C2211yescharacteristic, complemented
36#14583618C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic
38#14583607C2211yescharacteristic
39#14583606C2211yescharacteristic, complemented
40#14583605C2211yescharacteristic, complemented
41#14583596—21no—
42#14583586—21no—
43#14583585—21no—
44#14583584C2211yescharacteristic, complemented
45#14583580—21no—
46#14583578—21no—
47#14583575—21no—
48#14583572—21no—
49D4×Dic86C2211yescharacteristic, complemented
50#14583555—21no—
51#14583554C2211yescharacteristic
52#14583549C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583546C2211yescharacteristic
55#14583546C2211yescharacteristic, complemented
56#14583543C2211yescharacteristic
57#14583518C2211yescharacteristic
58#14583516C2211yescharacteristic, complemented
59#14583516C2211yescharacteristic, complemented
60#14583512C2211yescharacteristic, complemented
61#14583494—21no—
62#14583493—21no—
63#14583492—21no—
64#14583481—21no—
65#14583451C2211yescharacteristic, complemented
66#14583431—21no—
67#14583430C2211yescharacteristic
68#14583429C2211yescharacteristic
69#126×D43—21no—
70#14583405—21no—
71C2×#13063302—21no—
72#14583382C2211yescharacteristic, complemented
73#14583380C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic
75#14583371C2211yescharacteristic, complemented
76#14583367C2211yescharacteristic
77C2×D4×Dic43C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583250C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583230C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic
97#14583215C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic
99#14583203C2211yescharacteristic, complemented
100#14583201C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583190C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583179C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583157C2211yescharacteristic, complemented
112#14583156C2211yescharacteristic, complemented
113#14583155C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic
115#14583143C2211yescharacteristic
116#14583139C2211yescharacteristic, complemented
117#14583127C2211yescharacteristic
118#14583126C2211yescharacteristic, complemented
119#14583126C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583111C2211yescharacteristic
127#14583110C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583104C2211yescharacteristic, complemented
130#14583103C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic
132#14583063C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic
134#14583062C2211yescharacteristic
135#14583061C2211yescharacteristic, complemented
136#14583059C2211yescharacteristic
137#14583050C2211yescharacteristic, complemented
138#14583048C2211yescharacteristic, complemented
139#14583042C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic
144#14583011C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583005C2211yescharacteristic, complemented
149#14583003C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic, complemented
159#14582993C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582991C2211yescharacteristic, complemented
162#14582990C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic, complemented
164#14582990C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166SD16×Dic43C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582940C2211yescharacteristic, complemented
180C2×#13063258C2211yescharacteristic, complemented
181#14582901C2211yescharacteristic
182#14582901C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189C43×#546C2211yescharacteristic, complemented
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86—21no—
208C2×D4×D43C2311yescharacteristic
209C23×Dic43—21no—
210#13063351—24no—
211#13063349—24no—
212#13063345—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320D411yescharacteristic
240#13063319—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063316—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063312—21no—
260#13063312—21no—
261#13063312C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311D411yescharacteristic
267#13063309—21no—
268#13063309D411yescharacteristic
269#13063308—21no—
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306—21no—
282#13063306D411yescharacteristic
283#13063305—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302D411yescharacteristic
307#13063301C2311yescharacteristic
308#13063297—21no—
309#13063297—21no—
310#13063297D411yescharacteristic
311#13063296—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296C2311yescharacteristic
315#13063294—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172C2311yescharacteristic
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284—21no—
357#13063284—21no—
358#13063284—21no—
359#13063284C2311yescharacteristic
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282C2311yescharacteristic
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×C4⋊Dic43C2311yescharacteristic
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C2×C22⋊Dic43—21no—
378C2×C22⋊Dic43—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451#121×C43—21no—
452#121×C43—21no—
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#107×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
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—22no—
492C2×D4×C43—41no—
493C2×D4×C43C2×D411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—82no—
520C22×Dic43C2×D411yescharacteristic
521C22×Dic43C2×D411yescharacteristic
522#10621900—22no—
523#10621900—41no—
524#10621900—82no—
525D4×D43—22no—
526D4×D43—41no—
527#10621898—22no—
528#10621898—22no—
529#10621898—41no—
530#10621898—41no—
531C2×D172C2411yescharacteristic
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—82no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—41no—
550D8×C43—22no—
551D8×C43—41no—
552M16×C43—41no—
553M16×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43C2×D411yescharacteristic
577C22⋊C4×C43C2×D411yescharacteristic
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599C22⋊Dic43C2×D411yescharacteristic
600C22⋊Dic43C2×D411yescharacteristic
601#10621885—22no—
602#10621885—41no—
603#10621884—22no—
604#10621883—22no—
605#10621883—22no—
606#10621883—22no—
607#10621883—22no—
608#10621883—41no—
609#10621882—22no—
610#10621882#4114yescomplemented
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—41no—
685Dic172—41no—
686#10621873—22no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—41no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—81no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43C2×#4112yes—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—42no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—41no—
735C22⋊D43—41no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—41no—
749C2×Dic43—41no—
750C2×Dic43—42no—
751C2×Dic43—42no—
752C2×Dic43—42no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766D172—21no—
767D172C2×#4112yes—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61510—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—22no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—84no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—22no—
817C2×D43—21no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43C22×#4111yescharacteristic
831C4×C43#58511yescharacteristic
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3521—431no—
847#3520—431no—
848#3402—431no—
849#3384—431no—
850#3376—431no—
851#3367—431no—
852#3356—431no—
853#3346—431no—
854#3343—431no—
855#3331—431no—
856#3322D4311yescharacteristic, complemented
857#3315—431no—
858#3314—431no—
859#3311—431no—
860#3306—431no—
861#3273—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3173—431no—
866#3172—431no—
867#3125—431no—
868#3124—431no—
869#3120—431no—
870#3118—431no—
871#3116—431no—
872#3114—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—42no—
880C2×C43—81no—
881C2×C43—81no—
882C2×C43D4×#4111yescharacteristic
883C2×C43#358511yescharacteristic
884C2×C43#358611yescharacteristic
885D43—41no—
886D43—42no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#556—431no—
891#556—431no—
892#556—431no—
893#554—431no—
894#554—431no—
895#554—431no—
896#553—861no—
897#553C2×D4311yescharacteristic
898#552—431no—
899#552—861no—
900#552—861no—
901#551—861no—
902#551—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906#548—861no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—431no—
913#546C2×D4311yescharacteristic, complemented
914#542—431no—
915#542—431no—
916#542—431no—
917#541—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#126—861no—
927#525—861no—
928C2×C22⋊Q8—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#498—431no—
938#497—431no—
939#497—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488C2×D4311yescharacteristic, complemented
946#487—431no—
947#485—431no—
948#485—431no—
949#485C2×D4311yescharacteristic, complemented
950#484—431no—
951#484—431no—
952#483—431no—
953#483—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480C2×D4311yescharacteristic, complemented
959#479—431no—
960#478—431no—
961#478—431no—
962#478C2×D4311yescharacteristic, complemented
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#470—431no—
975#469C2×D4311yescharacteristic
976#468—431no—
977#468—431no—
978#468C2×D4311yescharacteristic
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463C2×D4311yescharacteristic
991#462—431no—
992#462—431no—
993#461—431no—
994#461—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#452—431no—
1000#452—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449C2×D4311yescharacteristic
1005#447—431no—
1006#447C2×D4311yescharacteristic
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#441—431no—
1015#441—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8C2×D4311yescharacteristic
1037#436—431no—
1038#436C2×D4311yescharacteristic, complemented
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418C2×D4311yescharacteristic, complemented
1050#417—431no—
1051#417—431no—
1052#417C2×D4311yescharacteristic, complemented
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151011yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41C22×D4311yescharacteristic
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×Q16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—431no—
1099#126—21no—
1100#126—431no—
1101#126—431no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—21no—
1135#123—431no—
1136#123—431no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8C22×D4311yescharacteristic
1177#121—21no—
1178#121—21no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×D4—21no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—21no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—41no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—861no—
1369C2×D4—862no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—1721no—
1375C2×D4D4×D4311yescharacteristic
1376C2×D4C23×D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408Q16—1721no—
1409SD16—41no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417D8—22no—
1418D8—41no—
1419D8—434no—
1420D8—862no—
1421M16—41no—
1422M16—41no—
1423M16—862no—
1424M16—862no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—21no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—431no—
1552C23—861no—
1553C23—3441no—
1554C23—3441no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—41no—
1577D4—42no—
1578D4—42no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—432no—
1583D4—861no—
1584D4—3441no—
1585D4—1721no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1721no—
1635C2×C4—1721no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—861no—
1669C22—862no—
1670C22—861no—
1671C22—861no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—81no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807911yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3322C2
socleC22×C43C23×D4
hypercenter#3322D43
hypocenterC43#61510
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #19148658C2semidirect
2. #19148631C2semidirect
3. #19147673C2semidirect
4. #19147497C2semidirect
5. #19147428C2semidirect
6. #19147311C2semidirect
7. #19147208C2semidirect
8. #19147080C2semidirect
9. #19147039C2semidirect
10. #19146912C2semidirect
11. #19146692C2semidirect
12. #19146671C2semidirect
13. #19146632C2semidirect
14. #19146551C2semidirect
15. #19146206C2semidirect
16. #19146116C2semidirect
17. #19146113C2semidirect
18. #19145262C2semidirect
19. #19145207C2semidirect
20. #19145194C2semidirect
21. #19144873C2semidirect
22. #19144852C2semidirect
23. #19144814C2semidirect
24. #19144778C2semidirect
25. #19144752C2semidirect
26. #19144728C2semidirect
27. #19143581C2semidirect
28. #19143466C2semidirect
29. #19143420C2semidirect
30. #19143399C2semidirect
31. C43×#3322C2semidirect
35. #14583619C22semidirect
36. #14583618C22semidirect
39. #14583606C22semidirect
40. #14583605C22semidirect
44. #14583584C22semidirect
49. D4×Dic86C22semidirect
55. #14583546C22semidirect
58. #14583516C22semidirect
59. #14583516C22semidirect
60. #14583512C22semidirect
65. #14583451C22semidirect
72. #14583382C22semidirect
73. #14583380C22semidirect
75. #14583371C22semidirect
77. C2×D4×Dic43C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583296C22semidirect
81. #14583294C22semidirect
82. #14583290C22semidirect
84. #14583266C22semidirect
85. #14583257C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583250C22semidirect
89. #14583240C22semidirect
90. #14583238C22semidirect
91. #14583236C22semidirect
92. #14583234C22semidirect
93. #14583231C22semidirect
94. #14583230C22semidirect
95. #14583230C22semidirect
97. #14583215C22semidirect
99. #14583203C22semidirect
100. #14583201C22semidirect
101. #14583201C22semidirect
102. #14583193C22semidirect
103. #14583193C22semidirect
104. #14583190C22semidirect
105. #14583188C22semidirect
106. #14583187C22semidirect
107. #14583182C22semidirect
108. #14583179C22semidirect
109. #14583178C22semidirect
110. #14583157C22semidirect
111. #14583157C22semidirect
112. #14583156C22semidirect
113. #14583155C22semidirect
116. #14583139C22semidirect
118. #14583126C22semidirect
119. #14583126C22semidirect
120. #14583120C22semidirect
121. #14583119C22semidirect
127. #14583110C22semidirect
128. #14583108C22semidirect
129. #14583104C22semidirect
130. #14583103C22semidirect
132. #14583063C22semidirect
135. #14583061C22semidirect
137. #14583050C22semidirect
138. #14583048C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
148. #14583005C22semidirect
149. #14583003C22semidirect
150. #14583002C22semidirect
151. #14583002C22semidirect
152. #14582999C22semidirect
153. #14582998C22semidirect
154. #14582996C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582996C22semidirect
159. #14582993C22semidirect
160. #14582991C22semidirect
161. #14582991C22semidirect
162. #14582990C22semidirect
163. #14582990C22semidirect
164. #14582990C22semidirect
165. C4×#10621873C22semidirect
166. SD16×Dic43C22semidirect
171. #14582971C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582940C22semidirect
180. C2×#13063258C22semidirect
182. #14582901C22semidirect
184. #102×D43C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
189. C43×#546C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#480C22semidirect
193. C43×#478C22semidirect
200. C43×#436C22semidirect
201. C43×#418C22semidirect
202. C43×#417C22semidirect
610. #10621882#41semidirect
856. #3322D43semidirect
913. #546C2×D43semidirect
945. #488C2×D43semidirect
949. #485C2×D43semidirect
958. #480C2×D43semidirect
962. #478C2×D43semidirect
1038. #436C2×D43semidirect
1049. #418C2×D43semidirect
1052. #417C2×D43semidirect
1058. C43#61510semidirect

Maximal subgroups

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

subgroupindex
#191486582
#191486312
#191476732
#191474972
#191474282
#191473112
#191472082
#191470802
#191470392
#191469122
#191466922
#191466712
#191466322
#191465512
#191462062
#191461162
#191461132
#191452622
#191452072
#191451942
#191448732
#191448522
#191448142
#191447782
#191447522
#191447282
#191435812
#191434662
#191434202
#191433992
C43×#33222
#6151043