Finite Group Databasebeta

← #25979817

Subgroups — #25979817

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148594C211yesmaximal, characteristic, complemented
2#19148520C211yesmaximal, characteristic, complemented
3#19147641C211yesmaximal, characteristic, complemented
4#19147544C211yesmaximal, characteristic, complemented
5#19147358C211yesmaximal, characteristic, complemented
6#19147303C211yesmaximal, characteristic, complemented
7#19147149C211yesmaximal, characteristic, complemented
8#19147068C211yesmaximal, characteristic, complemented
9#19147058C211yesmaximal, characteristic, complemented
10#19146917C211yesmaximal, characteristic, complemented
11#19146792C211yesmaximal, characteristic, complemented
12#19146723C211yesmaximal, characteristic, complemented
13#19146607C211yesmaximal, characteristic, complemented
14#19146552C211yesmaximal, characteristic, complemented
15#19146211C211yesmaximal, characteristic, complemented
16#19146133C211yesmaximal, characteristic, complemented
17#19146133C211yesmaximal, characteristic, complemented
18#19145281C211yesmaximal, characteristic, complemented
19#19145244C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144875C211yesmaximal, characteristic, complemented
22#19144832C211yesmaximal, characteristic, complemented
23#19144799C211yesmaximal, characteristic, complemented
24#19144791C211yesmaximal, characteristic, complemented
25#19144699C211yesmaximal, characteristic, complemented
26#19144681C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143477C211yesmaximal, characteristic, complemented
29#19143421C211yesmaximal, characteristic, complemented
30#19143399C211yesmaximal, characteristic, complemented
31C43×#3318C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583608C2211yescharacteristic
38#14583600—21no—
39#14583598—21no—
40#14583596C2211yescharacteristic
41#14583593C2211yescharacteristic, complemented
42#14583592—21no—
43#14583589C2211yescharacteristic
44#14583580—21no—
45#14583580—21no—
46#14583570C2211yescharacteristic
47#14583570C2211yescharacteristic, complemented
48#14583567—21no—
49#14583567C2211yescharacteristic, complemented
50#14583567C2211yescharacteristic, complemented
51#14583550C2211yescharacteristic, complemented
52#14583549C2211yescharacteristic
53#14583547—21no—
54#14583543—21no—
55#14583543C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583516C2211yescharacteristic
58#14583505C2211yescharacteristic, complemented
59#14583503C2211yescharacteristic
60#14583502C2211yescharacteristic, complemented
61#14583501—21no—
62#14583499—21no—
63#14583494—21no—
64#14583484—21no—
65#14583446—21no—
66#14583444C2211yescharacteristic, complemented
67#14583432—21no—
68#14583430C2211yescharacteristic
69#14583429C2211yescharacteristic
70#14583405—21no—
71C2×#13063306—21no—
72#14583380C2211yescharacteristic, complemented
73#14583378C2211yescharacteristic
74#14583378C2211yescharacteristic, complemented
75#14583374C2211yescharacteristic
76#14583367C2211yescharacteristic, complemented
77C2×D4×Dic43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic, complemented
83#14583275C2211yescharacteristic
84#14583264C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583229C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic, complemented
92#14583220C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic, complemented
94#14583218C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583215C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic
106#14583188C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic
108#14583187C2211yescharacteristic, complemented
109#14583183C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic
113#14583150C2211yescharacteristic
114#14583145C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic, complemented
119#14583128C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583100C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic
126#14583094C2211yescharacteristic
127#14583092C2211yescharacteristic
128#14583092C2211yescharacteristic
129#14583092C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic, complemented
132#14583063C2211yescharacteristic, complemented
133#14583045C2211yescharacteristic
134#14583045C2211yescharacteristic
135#14583042C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583041C2211yescharacteristic, complemented
138#14583041C2211yescharacteristic, complemented
139#14583033C2211yescharacteristic
140#14583033C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic
144#14583011C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583007C2211yescharacteristic, complemented
152#14583005C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic
164C4×#10621883C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic
171#14582975C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#106×D43C2211yescharacteristic, complemented
181#14582901C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189D42×C43C2211yescharacteristic
190C43×#490C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#481C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#469C2211yescharacteristic
195C43×#466C2211yescharacteristic
196C43×#459C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C23×Dic43—21no—
212#13063351—24no—
213#13063351—24no—
214#13063344—24no—
215C2×Dic172C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063322C2311yescharacteristic
236#13063321—21no—
237#13063321—21no—
238#13063321—21no—
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320D411yescharacteristic
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063317C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315D411yescharacteristic
255#13063312—21no—
256#13063312—21no—
257#13063312C2311yescharacteristic
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311D411yescharacteristic
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063309—21no—
265#13063309D411yescharacteristic
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306D411yescharacteristic
282#13063304—21no—
283#13063304C2311yescharacteristic
284#13063304C2311yescharacteristic
285#13063303—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302D411yescharacteristic
291#13063300—21no—
292#13063300—21no—
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297D411yescharacteristic
314#13063296—21no—
315#13063296—21no—
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063294—21no—
319#13063294—21no—
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284C2311yescharacteristic
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43C2311yescharacteristic
372C2×Dic43⋊C4—21no—
373C2×Dic43⋊C4—21no—
374C2×Dic43⋊C4—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×C22⋊Dic43—21no—
379C2×C22⋊Dic43—21no—
380C2×C22⋊Dic43—21no—
381C2×C22⋊Dic43—21no—
382C2×C22⋊Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#126×C43—21no—
448#125×C43C2311yescharacteristic
449#123×C43—21no—
450#121×C43—21no—
451#121×C43—21no—
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457#120×C43—21no—
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
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—22no—
493C2×D4×C43—41no—
494C2×D4×C43—41no—
495C2×D4×C43—82no—
496C2×D4×C43C2×D411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43C2411yescharacteristic
505C22×C4×C43C2411yescharacteristic
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—82no—
532C22×Dic43C2×D411yescharacteristic
533C22×Dic43C2×D411yescharacteristic
534#10621900—22no—
535#10621900—22no—
536#10621900—41no—
537#10621900—41no—
538#10621900—82no—
539#10621900—82no—
540#10621898—22no—
541#10621898—22no—
542#10621898—41no—
543#10621898—41no—
544#10621898—82no—
545#10621898—82no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86C2×D411yescharacteristic
564C2×Dic86C2411yescharacteristic
565C2×Dic86C2411yescharacteristic
566D8×C43—22no—
567D8×C43—41no—
568D8×C43—41no—
569M16×C43—41no—
570C2×C8×C43—41no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43C2×D411yescharacteristic
591C22⋊C4×C43C2×D411yescharacteristic
592C42×C43—21no—
593C42×C43C2411yescharacteristic
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621883—22no—
616#10621883—22no—
617#10621883—22no—
618#10621883#4114yescomplemented
619#10621882—22no—
620#10621882—22no—
621#10621882—22no—
622#10621882—22no—
623#10621882—41no—
624#10621882—41no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682#10621877—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687Dic172—22no—
688#10621873—41no—
689#10621873—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—42no—
697C23×C43—42no—
698C23×C43—42no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43—81no—
702C23×C43C22×D411yescharacteristic
703C23×C43C22×D411yescharacteristic
704C22×D43—21no—
705C22×D43—21no—
706C22×D43C22×D411yescharacteristic
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—41no—
715D4×C43—42no—
716D4×C43—42no—
717D4×C43—42no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43C2×#4112yes—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C2511yescharacteristic
740C22⋊D43—41no—
741C22⋊D43—41no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—41no—
761C2×Dic43—41no—
762C2×Dic43—42no—
763C2×Dic43—42no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—81no—
785D172—81no—
786D172—81no—
787D172—81no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—42no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798Dic86—21no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—22no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—84no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—41no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43C22×#4111yescharacteristic
853C4×C43#58511yescharacteristic
854Dic43—21no—
855Dic43—21no—
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—22no—
861Dic43—21no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318D4311yescharacteristic, complemented
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—41no—
900C2×C43—42no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—861no—
919#553—861no—
920#553—861no—
921#553C2×D4311yescharacteristic
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42C2×D4311yescharacteristic
937#542—431no—
938#540—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
966#490C2×D4311yescharacteristic
967#489—431no—
968#488—431no—
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482C2×D4311yescharacteristic
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481C2×D4311yescharacteristic
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478C2×D4311yescharacteristic
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469C2×D4311yescharacteristic
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466—431no—
1004#466C2×D4311yescharacteristic
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459C2×D4311yescharacteristic
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447C2×D4311yescharacteristic
1029#447C2×D4311yescharacteristic
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435C2×D4311yescharacteristic
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418C2×D4311yescharacteristic
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102C2×D4311yescharacteristic
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41—861no—
1090C22×D4—21no—
1091C22×D4C22×D4311yescharacteristic
1092C22×D4C22×D4311yescharacteristic
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16C22×D4311yescharacteristic
1117C22×C8—431no—
1118C22×C8C22×D4311yescharacteristic
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—21no—
1130#126—431no—
1131#126—431no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#125C22×D4311yescharacteristic
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#123—21no—
1152#123—431no—
1153#123—431no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—21no—
1216#120—21no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×D4—21no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102C22×D4311yescharacteristic
1335#102C22×D4311yescharacteristic
1336#102C22×D4311yescharacteristic
1337#102C22×D4311yescharacteristic
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C24—21no—
1361C24—21no—
1362#41—862no—
1363#41—862no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8—431no—
1377C2×Q8—861no—
1378C2×Q8—861no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—82no—
1392C2×D4—431no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4D4×D4311yescharacteristic
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—22no—
1453D8—41no—
1454D8—41no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—862no—
1459D8—1721no—
1460D8—1721no—
1461M16—41no—
1462M16—862no—
1463M16—862no—
1464M16—1721no—
1465C2×C8—41no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—862no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23—81no—
1581C23—431no—
1582C23—861no—
1583C23—861no—
1584C23C2×D4×D4311yescharacteristic
1585C23C2×D4×D4311yescharacteristic
1586Q8—432no—
1587Q8—861no—
1588Q8—861no—
1589Q8—861no—
1590Q8—3441no—
1591Q8—1721no—
1592Q8—1722no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—1721no—
1625D4—1721no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4#41×D4312yes—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—431no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—3441no—
1659C2×C4—3441no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—1722no—
1672C2×C4—1722no—
1673C2×C4—1722no—
1674C2×C4—1721no—
1675C2×C4—1721no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—84no—
1711C22—162no—
1712C22—861no—
1713C22—861no—
1714C22—861no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—861no—
1731C4—862no—
1732C4—861no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373411yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—1721no—
1754C2#1914807911yescharacteristic
1755C2#1914937011yescharacteristic
1756C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3318C2
socleC22×C43C23×D4
hypercenter#3318D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #19148594C2semidirect
2. #19148520C2semidirect
3. #19147641C2semidirect
4. #19147544C2semidirect
5. #19147358C2semidirect
6. #19147303C2semidirect
7. #19147149C2semidirect
8. #19147068C2semidirect
9. #19147058C2semidirect
10. #19146917C2semidirect
11. #19146792C2semidirect
12. #19146723C2semidirect
13. #19146607C2semidirect
14. #19146552C2semidirect
15. #19146211C2semidirect
16. #19146133C2semidirect
17. #19146133C2semidirect
18. #19145281C2semidirect
19. #19145244C2semidirect
20. #19145185C2semidirect
21. #19144875C2semidirect
22. #19144832C2semidirect
23. #19144799C2semidirect
24. #19144791C2semidirect
25. #19144699C2semidirect
26. #19144681C2semidirect
27. #19143574C2semidirect
28. #19143477C2semidirect
29. #19143421C2semidirect
30. #19143399C2semidirect
31. C43×#3318C2semidirect
36. #14583626C22semidirect
41. #14583593C22semidirect
47. #14583570C22semidirect
49. #14583567C22semidirect
50. #14583567C22semidirect
51. #14583550C22semidirect
58. #14583505C22semidirect
60. #14583502C22semidirect
66. #14583444C22semidirect
72. #14583380C22semidirect
74. #14583378C22semidirect
76. #14583367C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583298C22semidirect
81. #14583287C22semidirect
82. #14583287C22semidirect
84. #14583264C22semidirect
85. #14583262C22semidirect
86. #14583257C22semidirect
87. #14583252C22semidirect
88. #14583244C22semidirect
89. #14583240C22semidirect
90. #14583229C22semidirect
91. #14583224C22semidirect
92. #14583220C22semidirect
93. #14583219C22semidirect
94. #14583218C22semidirect
95. #14583216C22semidirect
96. #14583215C22semidirect
97. #14583214C22semidirect
98. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583205C22semidirect
101. #14583203C22semidirect
102. #14583201C22semidirect
103. #14583199C22semidirect
104. #14583198C22semidirect
106. #14583188C22semidirect
108. #14583187C22semidirect
109. #14583183C22semidirect
110. #14583151C22semidirect
111. #14583151C22semidirect
114. #14583145C22semidirect
115. #14583143C22semidirect
116. #14583143C22semidirect
117. #14583134C22semidirect
118. #14583134C22semidirect
119. #14583128C22semidirect
120. #14583120C22semidirect
121. #14583120C22semidirect
122. #14583113C22semidirect
123. #14583113C22semidirect
124. #14583100C22semidirect
129. #14583092C22semidirect
130. #14583092C22semidirect
131. #14583063C22semidirect
132. #14583063C22semidirect
137. #14583041C22semidirect
138. #14583041C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
144. #14583011C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583007C22semidirect
152. #14583005C22semidirect
153. #14582998C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
159. #14582990C22semidirect
160. #14582990C22semidirect
161. #14582990C22semidirect
162. #14582986C22semidirect
164. C4×#10621883C22semidirect
165. D8×Dic43C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
171. #14582975C22semidirect
172. #14582973C22semidirect
173. #14582973C22semidirect
174. #14582970C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582939C22semidirect
180. #106×D43C22semidirect
181. #14582901C22semidirect
183. #14582897C22semidirect
184. #14582896C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
618. #10621883#41semidirect
878. #3318D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485942
#191485202
#191476412
#191475442
#191473582
#191473032
#191471492
#191470682
#191470582
#191469172
#191467922
#191467232
#191466072
#191465522
#191462112
#191461332
#191452812
#191452442
#191451852
#191448752
#191448322
#191447992
#191447912
#191446992
#191446812
#191435742
#191434772
#191434212
#191433992
C43×#33182
#6150743