Finite Group Databasebeta

← #25979999

Subgroups — #25979999

Order 11008.

1826 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#19148579C211yesmaximal, characteristic, complemented
2#19148552C211yesmaximal, characteristic, complemented
3#19147666C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147361C211yesmaximal, characteristic, complemented
6#19147312C211yesmaximal, characteristic, complemented
7#19147217C211yesmaximal, characteristic, complemented
8#19147121C211yesmaximal, characteristic, complemented
9#19146883C211yesmaximal, characteristic, complemented
10#19146790C211yesmaximal, characteristic, complemented
11#19146784C211yesmaximal, characteristic, complemented
12#19146679C211yesmaximal, characteristic, complemented
13#19146664C211yesmaximal, characteristic, complemented
14#19146619C211yesmaximal, characteristic, complemented
15#19146233C211yesmaximal, characteristic, complemented
16#19146110C211yesmaximal, characteristic, complemented
17#19146087C211yesmaximal, characteristic, complemented
18#19145268C211yesmaximal, characteristic, complemented
19#19145227C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144862C211yesmaximal, characteristic, complemented
22#19144849C211yesmaximal, characteristic, complemented
23#19144819C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144714C211yesmaximal, characteristic, complemented
26#19144699C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143453C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#19143413C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583619C2211yescharacteristic, complemented
38#14583617C2211yescharacteristic
39#14583616—21no—
40#14583612C2211yescharacteristic
41#14583608—21no—
42#14583604C2211yescharacteristic, complemented
43#14583592—21no—
44#14583588C2211yescharacteristic
45#14583586—21no—
46#14583579—21no—
47#14583573—21no—
48D4×Dic86C2211yescharacteristic, complemented
49#14583564C2211yescharacteristic
50#14583557—21no—
51#14583555C2211yescharacteristic
52#14583555C2211yescharacteristic, complemented
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583538—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583517—21no—
59#14583516C2211yescharacteristic
60#14583516C2211yescharacteristic, complemented
61#14583512C2211yescharacteristic, complemented
62#14583506—21no—
63#14583483—21no—
64#14583481—21no—
65#14583444C2211yescharacteristic
66#14583430—21no—
67#14583430C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583427—21no—
71#124×D43—21no—
72#14583378C2211yescharacteristic, complemented
73#14583376C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic
77C2×#13063290C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic
82#14583282C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic
84#14583257C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583256C2211yescharacteristic, complemented
88#14583251C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583240C2211yescharacteristic, complemented
94#14583236C2211yescharacteristic, complemented
95#14583214C2211yescharacteristic
96#14583212C2211yescharacteristic, complemented
97#14583205C2211yescharacteristic, complemented
98#14583198C2211yescharacteristic
99#14583196C2211yescharacteristic
100#14583193C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583191C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583183C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic
107#14583158C2211yescharacteristic, complemented
108#14583150C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic
110#14583145C2211yescharacteristic, complemented
111#14583143C2211yescharacteristic
112#14583143C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583141C2211yescharacteristic, complemented
115#14583140C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic
117#14583122C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583113C2211yescharacteristic, complemented
125#14583105C2211yescharacteristic
126#14583104C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic
128#14583098C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583062C2211yescharacteristic, complemented
131#14583057C2211yescharacteristic, complemented
132#14583052C2211yescharacteristic
133#14583051C2211yescharacteristic
134#14583051C2211yescharacteristic
135#14583045C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583040C2211yescharacteristic, complemented
138#14583037C2211yescharacteristic
139#14583037C2211yescharacteristic, complemented
140#14583032C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic
144#14583005C2211yescharacteristic, complemented
145#14583005C2211yescharacteristic, complemented
146#14583005C2211yescharacteristic, complemented
147#14583001C2211yescharacteristic
148#14582998C2211yescharacteristic
149#14582998C2211yescharacteristic
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582993C2211yescharacteristic, complemented
159#14582993C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic
164#14582986C2211yescharacteristic, complemented
165#14582986C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic, complemented
167D8×Dic43C2211yescharacteristic, complemented
168C4×#10621882C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582907C2211yescharacteristic, complemented
180#14582907C2211yescharacteristic, complemented
181#14582903C2211yescharacteristic
182#14582898C2211yescharacteristic
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189C43×#553C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×Q8×D43—21no—
209C22×D172C2311yescharacteristic
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212#13063358—24no—
213#13063349—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×#10621873—24no—
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324—21no—
236#13063324—21no—
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318D411yescharacteristic
254#13063317—21no—
255#13063316—21no—
256#13063316—21no—
257#13063316C2311yescharacteristic
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315D411yescharacteristic
262#13063314—21no—
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063312—21no—
266#13063312—21no—
267#13063312C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311D411yescharacteristic
277#13063310—21no—
278#13063310—21no—
279#13063309D411yescharacteristic
280#13063308—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063306—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306D411yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304—21no—
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302D411yescharacteristic
306#13063301—21no—
307#13063301—21no—
308#13063300C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297D411yescharacteristic
317#13063296—21no—
318#13063295—21no—
319#13063293—21no—
320#13063293—21no—
321#13063293—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339C4×D172—21no—
340C4×D172—21no—
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063284—21no—
365#13063284C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C2×C4×Dic43C2311yescharacteristic
386C42×D43—21no—
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43C2×D411yescharacteristic
510C22×Dic43C2×D411yescharacteristic
511Q8×D43—82no—
512#10621900—22no—
513#10621900—41no—
514#10621900—82no—
515D4×D43—22no—
516D4×D43—41no—
517D4×D43—82no—
518#10621898—22no—
519#10621898—41no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—22no—
523C2×D172—41no—
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2411yescharacteristic
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—41no—
543C2×Dic86—41no—
544C2×Dic86C2×D411yescharacteristic
545C2×Dic86C2411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549D8×C43—22no—
550M16×C43—22no—
551C2×C8×C43—22no—
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597#10621883—22no—
598#10621883—41no—
599#10621883—41no—
600#10621883—41no—
601#10621882—22no—
602#10621882—41no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—41no—
673#10621877—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—22no—
680Dic172—41no—
681#10621873—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873—22no—
685#10621873—41no—
686#10621873#4114yescomplemented
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—81no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—41no—
708D4×C43—42no—
709D4×C43—81no—
710D4×C43—81no—
711D4×C43—81no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
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—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—41no—
745C2×Dic43—41no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—42no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758D172—21no—
759D172—21no—
760D172—21no—
761D172—42no—
762D172—81no—
763D172C2×#4112yes—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—41no—
782Dic86—42no—
783Dic86—42no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61513—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—22no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—162no—
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×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—22no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3516—431no—
847#3514—431no—
848#3401—431no—
849#3386—431no—
850#3371—431no—
851#3367—431no—
852#3357—431no—
853#3349—431no—
854#3347D4311yescharacteristic, complemented
855#3329—431no—
856#3322—431no—
857#3321—431no—
858#3314—431no—
859#3313—431no—
860#3310—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3178—431no—
865#3175—431no—
866#3171—431no—
867#3124—431no—
868#3123—431no—
869#3121—431no—
870#3118—431no—
871#3112—431no—
872#3111—431no—
873#2967—431no—
874#2949—431no—
875#2946—431no—
876C4×#137—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—42no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891#557—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555C2×D4311yescharacteristic
897#554—431no—
898#554—861no—
899#553—861no—
900#553C2×D4311yescharacteristic, complemented
901#552—431no—
902#552—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#548—861no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#541—431no—
919#541—861no—
920#538—861no—
921#538—861no—
922#532—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926#529—861no—
927#529—861no—
928C2×#124—861no—
929#520—431no—
930#519—431no—
931#518—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×Q8—431no—
935#501—431no—
936#501C2×D4311yescharacteristic, complemented
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#490—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485—431no—
952#484—431no—
953#482C2×D4311yescharacteristic
954#482C2×D4311yescharacteristic, complemented
955#482C2×D4311yescharacteristic, complemented
956#480—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#477—431no—
966#477—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474C2×D4311yescharacteristic, complemented
971#470—431no—
972#469—431no—
973#469C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#467—431no—
981#466C2×D4311yescharacteristic
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442C2×D4311yescharacteristic, complemented
1011#441—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—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×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435C2×D4311yescharacteristic, complemented
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428C2×D4311yescharacteristic, complemented
1048#427C2×D4311yescharacteristic, complemented
1049#419—431no—
1050#419—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—431no—
1067C22×D4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—864no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8C22×D4311yescharacteristic
1100#127—431no—
1101#126—21no—
1102#126—431no—
1103#126—431no—
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—21no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124—861no—
1141#123—21no—
1142#123—431no—
1143#123—431no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
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—
1173#121—21no—
1174#121—21no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121C22×D4311yescharacteristic
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
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—431no—
1203C4×Q8—431no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×D4—21no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
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×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253#117C22×D4311yescharacteristic
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
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#103—431no—
1303#103—431no—
1304#103—431no—
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#102—431no—
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#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—862no—
1355C2×Q8—861no—
1356C2×Q8—861no—
1357C2×Q8—3442no—
1358C2×Q8—1721no—
1359C2×Q8—1721no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4D4×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
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—861no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—434no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—862no—
1420D8—1721no—
1421M16—22no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—22no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
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—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊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⋊C4D4×D4311yescharacteristic
1475C4⋊C4C23×D4311yescharacteristic
1476C4⋊C4C23×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
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—431no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—81no—
1559Q8—432no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—41no—
1578D4—42no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—432no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—1722no—
1590D4—1721no—
1591D4—1721no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
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—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—861no—
1665C22—862no—
1666C22—861no—
1667C22—861no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—6882no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—861no—
1687C4—862no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914808211yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148579C2semidirect
2. #19148552C2semidirect
3. #19147666C2semidirect
4. #19147513C2semidirect
5. #19147361C2semidirect
6. #19147312C2semidirect
7. #19147217C2semidirect
8. #19147121C2semidirect
9. #19146883C2semidirect
10. #19146790C2semidirect
11. #19146784C2semidirect
12. #19146679C2semidirect
13. #19146664C2semidirect
14. #19146619C2semidirect
15. #19146233C2semidirect
16. #19146110C2semidirect
17. #19146087C2semidirect
18. #19145268C2semidirect
19. #19145227C2semidirect
20. #19145185C2semidirect
21. #19144862C2semidirect
22. #19144849C2semidirect
23. #19144819C2semidirect
24. #19144774C2semidirect
25. #19144714C2semidirect
26. #19144699C2semidirect
27. #19143574C2semidirect
28. #19143453C2semidirect
29. #19143424C2semidirect
30. #19143413C2semidirect
31. C43×#3347C2semidirect
36. #14583626C22semidirect
37. #14583619C22semidirect
42. #14583604C22semidirect
48. D4×Dic86C22semidirect
52. #14583555C22semidirect
60. #14583516C22semidirect
61. #14583512C22semidirect
67. #14583430C22semidirect
72. #14583378C22semidirect
73. #14583376C22semidirect
77. C2×#13063290C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583293C22semidirect
82. #14583282C22semidirect
84. #14583257C22semidirect
85. #14583257C22semidirect
86. #14583257C22semidirect
87. #14583256C22semidirect
88. #14583251C22semidirect
89. #14583243C22semidirect
90. #14583242C22semidirect
91. #14583240C22semidirect
92. #14583240C22semidirect
93. #14583240C22semidirect
94. #14583236C22semidirect
96. #14583212C22semidirect
97. #14583205C22semidirect
100. #14583193C22semidirect
101. #14583193C22semidirect
102. #14583193C22semidirect
103. #14583191C22semidirect
104. #14583188C22semidirect
105. #14583183C22semidirect
107. #14583158C22semidirect
108. #14583150C22semidirect
110. #14583145C22semidirect
112. #14583143C22semidirect
113. #14583143C22semidirect
114. #14583141C22semidirect
115. #14583140C22semidirect
117. #14583122C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
121. #14583114C22semidirect
124. #14583113C22semidirect
126. #14583104C22semidirect
130. #14583062C22semidirect
131. #14583057C22semidirect
137. #14583040C22semidirect
139. #14583037C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
144. #14583005C22semidirect
145. #14583005C22semidirect
146. #14583005C22semidirect
152. #14582998C22semidirect
153. #14582998C22semidirect
154. #14582998C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582993C22semidirect
159. #14582993C22semidirect
160. #14582990C22semidirect
164. #14582986C22semidirect
165. #14582986C22semidirect
166. C4×#10621883C22semidirect
167. D8×Dic43C22semidirect
169. #14582979C22semidirect
170. #14582977C22semidirect
171. #14582975C22semidirect
173. #14582973C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582938C22semidirect
179. #14582907C22semidirect
180. #14582907C22semidirect
183. #14582892C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
189. C43×#553C22semidirect
190. C43×#501C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
197. C43×#469C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
686. #10621873#41semidirect
854. #3347D43semidirect
900. #553C2×D43semidirect
936. #501C2×D43semidirect
954. #482C2×D43semidirect
955. #482C2×D43semidirect
958. #480C2×D43semidirect
962. #478C2×D43semidirect
970. #474C2×D43semidirect
973. #469C2×D43semidirect
1010. #442C2×D43semidirect
1042. #435C2×D43semidirect
1047. #428C2×D43semidirect
1048. #427C2×D43semidirect
1058. C43#61513semidirect

Maximal subgroups

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

subgroupindex
#191485792
#191485522
#191476662
#191475132
#191473612
#191473122
#191472172
#191471212
#191468832
#191467902
#191467842
#191466792
#191466642
#191466192
#191462332
#191461102
#191460872
#191452682
#191452272
#191451852
#191448622
#191448492
#191448192
#191447742
#191447142
#191446992
#191435742
#191434532
#191434242
#191434132
C43×#33472
#6151343