Finite Group Databasebeta

← #25979559

Subgroups — #25979559

Order 11008.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148676C211yesmaximal, characteristic, complemented
2#19148625C211yesmaximal, characteristic, complemented
3#19147634C211yesmaximal, characteristic, complemented
4#19147502C211yesmaximal, characteristic, complemented
5#19147263C211yesmaximal, characteristic, complemented
6#19147252C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147064C211yesmaximal, characteristic, complemented
9#19147060C211yesmaximal, characteristic, complemented
10#19146540C211yesmaximal, characteristic, complemented
11#19146496C211yesmaximal, characteristic, complemented
12#19146492C211yesmaximal, characteristic, complemented
13#19146414C211yesmaximal, characteristic, complemented
14#19146407C211yesmaximal, characteristic, complemented
15#19146403C211yesmaximal, characteristic, complemented
16#19146212C211yesmaximal, characteristic, complemented
17#19146097C211yesmaximal, characteristic, complemented
18#19146089C211yesmaximal, characteristic, complemented
19#19145274C211yesmaximal, characteristic, complemented
20#19145171C211yesmaximal, characteristic, complemented
21#19144798C211yesmaximal, characteristic, complemented
22#19144788C211yesmaximal, characteristic, complemented
23#19144783C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144715C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143566C211yesmaximal, characteristic, complemented
28#19143429C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×SD16×D43C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583633—21no—
36#14583631C2211yescharacteristic, complemented
37#14583629C2211yescharacteristic, complemented
38#14583613C2211yescharacteristic
39#14583607C2211yescharacteristic, complemented
40#14583605C2211yescharacteristic
41#14583603—21no—
42#14583602C2211yescharacteristic
43#14583596C2211yescharacteristic
44#14583594—21no—
45#14583569C2211yescharacteristic
46#14583567C2211yescharacteristic, complemented
47#14583559C2211yescharacteristic, complemented
48#14583557C2211yescharacteristic, complemented
49#14583552C2211yescharacteristic, complemented
50#14583551—21no—
51#14583549C2211yescharacteristic, complemented
52#14583547—21no—
53#14583546—21no—
54#14583541—21no—
55#14583538—21no—
56#14583534C2211yescharacteristic
57#14583533C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583521C2211yescharacteristic, complemented
60#14583515—21no—
61#14583513—21no—
62#14583500C2211yescharacteristic
63#14583485—21no—
64#14583481—21no—
65#14583448—21no—
66#14583446C2211yescharacteristic
67#14583446C2211yescharacteristic, complemented
68#14583432—21no—
69#14583427C2211yescharacteristic
70#14583407—21no—
71#121×D43—21no—
72#14583379C2211yescharacteristic, complemented
73#14583378C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic, complemented
81#14583274C2211yescharacteristic, complemented
82#14583255C2211yescharacteristic, complemented
83#14583244C2211yescharacteristic, complemented
84#14583244C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583238C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583226C2211yescharacteristic, complemented
89#14583220C2211yescharacteristic, complemented
90#14583219C2211yescharacteristic, complemented
91#14583219C2211yescharacteristic, complemented
92#14583216C2211yescharacteristic, complemented
93#14583215C2211yescharacteristic, complemented
94#14583214C2211yescharacteristic, complemented
95#14583211C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583197C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic
105#14583187C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583186C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583176C2211yescharacteristic
110#14583153C2211yescharacteristic, complemented
111#14583142C2211yescharacteristic, complemented
112#14583136C2211yescharacteristic, complemented
113#14583134C2211yescharacteristic, complemented
114#14583134C2211yescharacteristic, complemented
115#14583134C2211yescharacteristic, complemented
116#14583132C2211yescharacteristic, complemented
117#14583131C2211yescharacteristic, complemented
118#14583117C2211yescharacteristic
119#14583116C2211yescharacteristic, complemented
120#14583111C2211yescharacteristic
121#14583111C2211yescharacteristic, complemented
122#14583098C2211yescharacteristic, complemented
123#14583098C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic, complemented
126#14583093C2211yescharacteristic
127#14583092C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583091C2211yescharacteristic, complemented
130#14583049C2211yescharacteristic
131#14583048C2211yescharacteristic
132#14583045C2211yescharacteristic, complemented
133#14583042C2211yescharacteristic, complemented
134#14583042C2211yescharacteristic, complemented
135#14583041C2211yescharacteristic, complemented
136#14583039C2211yescharacteristic, complemented
137#14583036C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143C8×Dic86C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic, complemented
146#14583011C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic
153#14582997C2211yescharacteristic, complemented
154#14582990C2211yescharacteristic, complemented
155#14582990C2211yescharacteristic, complemented
156C4×#10621873C2211yescharacteristic
157C4×#10621873C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic
160#14582986C2211yescharacteristic
161C4×#10621883C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic
163C4×D344C2211yescharacteristic
164C4×D344C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582968C2211yescharacteristic, complemented
171C8×D172C2211yescharacteristic, complemented
172C8×C22⋊D43C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#106×D43C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183C2×#13063247C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C2×D4×D43—21no—
213C2×D4×D43—21no—
214C2×D4×D43—21no—
215C2×D4×D43C2311yescharacteristic
216C2×D4×D43C2311yescharacteristic
217C22×C4×D43—21no—
218#13063353—24no—
219#13063349—24no—
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226SD16×D43—24no—
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237#13063324—21no—
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063323—21no—
242#13063323—21no—
243#13063321—21no—
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320D411yescharacteristic
249#13063319—21no—
250#13063318—21no—
251#13063318D411yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315D411yescharacteristic
255#13063314C2311yescharacteristic
256#13063313—21no—
257#13063312—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311D411yescharacteristic
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310D411yescharacteristic
270#13063309—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307D411yescharacteristic
276#13063306—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063301—21no—
289#13063301C2311yescharacteristic
290#13063300—21no—
291#13063300C2311yescharacteristic
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298D411yescharacteristic
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063296—21no—
310#13063296—21no—
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063295—21no—
316#13063295—21no—
317#13063293—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
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(C22⋊D43)⋊C4—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C42×D43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451#123×C43—21no—
452#123×C43—21no—
453C22⋊Q8×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43—21no—
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×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#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43—21no—
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×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518#10621902—82no—
519Q8×D43—22no—
520Q8×D43—41no—
521#10621900—22no—
522#10621900—41no—
523#10621900—82no—
524#10621900—82no—
525D4×D43—22no—
526D4×D43—22no—
527D4×D43—41no—
528D4×D43—41no—
529D4×D43—82no—
530D4×D43—82no—
531D4×D43—82no—
532#10621898—22no—
533#10621898—41no—
534#10621898—82no—
535#10621898—82no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—22no—
542C2×D172—41no—
543C2×D172C2×D411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—82no—
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2×D411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86—21no—
569C2×Dic86C2×D411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—22no—
572SD16×C43—41no—
573D8×C43—22no—
574D8×C43—41no—
575M16×C43—22no—
576C2×C8×C43—41no—
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43—21no—
601C22⋊C4×C43C2×D411yescharacteristic
602C22⋊C4×C43C2×D411yescharacteristic
603C42×C43—21no—
604C42×C43C2411yescharacteristic
605C42×C43C2411yescharacteristic
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621884—22no—
616#10621884—41no—
617#10621883—22no—
618#10621883—22no—
619#10621882—22no—
620#10621882—41no—
621#10621882—41no—
622#10621882—41no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—22no—
689#10621873—22no—
690#10621873#4114yescomplemented
691#10621872—22no—
692C8×D43—22no—
693C8×D43—41no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—81no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C2511yescharacteristic
743C22⋊D43—22no—
744C22⋊D43—22no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—42no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—22no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—42no—
781D172—42no—
782D172—42no—
783D172—81no—
784D172—81no—
785D172C2×#4112yes—
786C4×D43—22no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—22no—
792C4×D43—42no—
793C4×D43—42no—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805Dic86—21no—
806Dic86—22no—
807Dic86—42no—
808Dic86—81no—
809Dic86—81no—
810Dic86—81no—
811Dic86C2×#4112yes—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8—21no—
820#61498—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
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—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—22no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—84no—
849C2×D43—162no—
850C2×D43—162no—
851C2×D43#57612yes—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43#58511yescharacteristic
864Dic43—22no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#57712yes—
875#3522—431no—
876#3519—431no—
877#3399—431no—
878#3385—431no—
879#3362—431no—
880#3361—431no—
881#3357—431no—
882#3345—431no—
883#3345—431no—
884#3305—431no—
885#3301—431no—
886#3301—431no—
887#3295—431no—
888#3294—431no—
889#3294—431no—
890#3274—431no—
891#3265—431no—
892#3265—431no—
893#3179—431no—
894#3179D4311yescharacteristic, complemented
895#3169—431no—
896#3119—431no—
897#3119—431no—
898#3118—431no—
899#3118—431no—
900#3112—431no—
901#3109—431no—
902#2966—431no—
903#2946—431no—
904#2946—431no—
905C2×C4×SD16—431no—
906C2×C43—41no—
907C2×C43—81no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43D4×#4111yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43C2×#57711yescharacteristic
913D43—22no—
914D43—41no—
915D43—42no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C22×SD16—431no—
921#559—431no—
922#559—861no—
923Q82—431no—
924#555—431no—
925#554—431no—
926#554—431no—
927#554—861no—
928#553—431no—
929#553—431no—
930#553—861no—
931#550—431no—
932#550—431no—
933#548—431no—
934#548—431no—
935#547—431no—
936#547—431no—
937#547—861no—
938#547—861no—
939#546—861no—
940#546—861no—
941#546—861no—
942D42—431no—
943D42—431no—
944D42—431no—
945#542—431no—
946#542—861no—
947#542—861no—
948#542C2×D4311yescharacteristic, complemented
949#540—431no—
950#540C2×D4311yescharacteristic
951#538—861no—
952#538—861no—
953#532—431no—
954#532—431no—
955#532—861no—
956#529—431no—
957#529—861no—
958#525—861no—
959C2×#121—861no—
960#520—431no—
961#520—431no—
962#518—431no—
963#518—431no—
964C2×C4×Q8—431no—
965C2×C4×D4—431no—
966#501—431no—
967#501C2×D4311yescharacteristic, complemented
968#500—431no—
969#496—431no—
970#496C2×D4311yescharacteristic, complemented
971#493—431no—
972#488—431no—
973#488C2×D4311yescharacteristic, complemented
974#486—431no—
975#486—431no—
976#486—431no—
977#486C2×D4311yescharacteristic, complemented
978#485—431no—
979#485—431no—
980#482—431no—
981#482—431no—
982#481—431no—
983#481—431no—
984#481—431no—
985#481—431no—
986#480—431no—
987#480—431no—
988#480—431no—
989#480—431no—
990#479—431no—
991#479—431no—
992#478—431no—
993#478—431no—
994#477—431no—
995#477—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#476—431no—
1000#474—431no—
1001#474—431no—
1002#469—431no—
1003#469C2×D4311yescharacteristic, complemented
1004#468—431no—
1005#468C2×D4311yescharacteristic, complemented
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466C2×D4311yescharacteristic, complemented
1012#465—431no—
1013#465C2×D4311yescharacteristic, complemented
1014#463—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#460—431no—
1019#460—431no—
1020#460—431no—
1021#460—431no—
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#450—431no—
1027#450—431no—
1028#449—431no—
1029#449—431no—
1030#449—431no—
1031#449—431no—
1032#448—431no—
1033#448—431no—
1034#447—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#446—431no—
1039C8×Q8—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442C2×D4311yescharacteristic, complemented
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440C2×D4311yescharacteristic, complemented
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16—431no—
1060C4×SD16—431no—
1061C4×SD16C2×D4311yescharacteristic, complemented
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8C2×D4311yescharacteristic, complemented
1068#436—431no—
1069#435—431no—
1070#435—431no—
1071C8×D4—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074#433—431no—
1075#433—431no—
1076#432—431no—
1077#428—431no—
1078#428—431no—
1079C2×#106—431no—
1080#416—431no—
1081#416—431no—
1082C2×#103—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086#405—431no—
1087#405C2×D4311yescharacteristic, complemented
1088C2×C4×C8—431no—
1089C43#6149811yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C2×#41—861no—
1097C22×Q8—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4—861no—
1104C23×C4—861no—
1105AGL(1,ℤ/8)—864no—
1106AGL(1,ℤ/8)—864no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—864no—
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8C22×D4311yescharacteristic
1123C2×D8C22×D4311yescharacteristic
1124C2×M16—431no—
1125C2×M16C22×D4311yescharacteristic
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8C22×D4311yescharacteristic
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—861no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8C22×D4311yescharacteristic
1137#127—431no—
1138#127—431no—
1139#127—431no—
1140#127—861no—
1141#127C22×D4311yescharacteristic
1142#126—21no—
1143#126—431no—
1144#126—431no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#125—431no—
1149#125—431no—
1150#125—861no—
1151#125C22×D4311yescharacteristic
1152#124—21no—
1153#124—431no—
1154#124—431no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#124—861no—
1162#124—861no—
1163#124C22×D4311yescharacteristic
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—431no—
1168#123—431no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180C22⋊Q8—21no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8C22×D4311yescharacteristic
1194#121—21no—
1195#121—21no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#121C22×D4311yescharacteristic
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—861no—
1237C4×Q8—861no—
1238C4×Q8—861no—
1239C4×Q8C22×D4311yescharacteristic
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
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×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—861no—
1280#117—861no—
1281#117—861no—
1282#117C22×D4311yescharacteristic
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—431no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4—861no—
1290C2×C4⋊C4—861no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C42—431no—
1297C2×C42—861no—
1298#107—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107C22×D4311yescharacteristic
1305#107C22×D4311yescharacteristic
1306#106—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102C22×D4311yescharacteristic
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352C22⋊C8—431no—
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8—431no—
1358#97—431no—
1359#97—431no—
1360#97C22×D4311yescharacteristic
1361#97C22×D4311yescharacteristic
1362C4×C8—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8C22×D4311yescharacteristic
1367C4×C8C22×D4311yescharacteristic
1368C24—861no—
1369C24—861no—
1370C24—861no—
1371#41—862no—
1372#41—862no—
1373#41—3442no—
1374#41—3442no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—1721no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—431no—
1382C2×Q8—431no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—862no—
1388C2×Q8—1721no—
1389C2×Q8C23×D4311yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—431no—
1401C2×D4—862no—
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×D4—861no—
1413C2×D4—861no—
1414C2×D4—862no—
1415C2×D4—862no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—3442no—
1423C2×D4—3442no—
1424C2×D4—3442no—
1425C2×D4—1721no—
1426C2×D4—1721no—
1427C2×D4—1721no—
1428C2×D4C23×D4311yescharacteristic
1429C2×D4C23×D4311yescharacteristic
1430C2×D4C23×D4311yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—3442no—
1457C22×C4C23×D4311yescharacteristic
1458SD16—22no—
1459SD16—41no—
1460SD16—434no—
1461SD16—862no—
1462SD16—862no—
1463SD16—862no—
1464SD16—862no—
1465SD16—1721no—
1466D8—22no—
1467D8—41no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473D8—1721no—
1474M16—22no—
1475M16—862no—
1476C2×C8—41no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—862no—
1482C2×C8—1721no—
1483C2×C8—1721no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—431no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4D4×D4311yescharacteristic
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—431no—
1542C22⋊C4—431no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4D4×D4311yescharacteristic
1567C22⋊C4D4×D4311yescharacteristic
1568C42—21no—
1569C42—431no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—861no—
1574C42—861no—
1575C42—861no—
1576C42—861no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42C23×D4311yescharacteristic
1581C42C23×D4311yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—431no—
1586C23—431no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—3441no—
1591C23—3441no—
1592C23—3441no—
1593C23—3441no—
1594C23—3441no—
1595C23—1722no—
1596C23—1722no—
1597C23—1722no—
1598C23—1722no—
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—81no—
1603Q8—432no—
1604Q8—862no—
1605Q8—861no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609Q8—1722no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—432no—
1622D4—862no—
1623D4—862no—
1624D4—862no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—861no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—1722no—
1638D4—1722no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—431no—
1659C2×C4—431no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—862no—
1665C2×C4—862no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—1722no—
1688C2×C4—1722no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—861no—
1703C8—861no—
1704C8—861no—
1705C8—861no—
1706C8#41×D4312yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—432no—
1720C22—861no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—862no—
1726C22—3444no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—6882no—
1736C22—6882no—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—862no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4#1458373511yescharacteristic
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—862no—
1766C2—3441no—
1767C2—3441no—
1768C2—1721no—
1769C2—1722no—
1770C2#1914808111yescharacteristic
1771C2#576×D4311yescharacteristic
1772C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#61498
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148676C2semidirect
2. #19148625C2semidirect
3. #19147634C2semidirect
4. #19147502C2semidirect
5. #19147263C2semidirect
6. #19147252C2semidirect
7. #19147216C2semidirect
8. #19147064C2semidirect
9. #19147060C2semidirect
10. #19146540C2semidirect
11. #19146496C2semidirect
12. #19146492C2semidirect
13. #19146414C2semidirect
14. #19146407C2semidirect
15. #19146403C2semidirect
16. #19146212C2semidirect
17. #19146097C2semidirect
18. #19146089C2semidirect
19. #19145274C2semidirect
20. #19145171C2semidirect
21. #19144798C2semidirect
22. #19144788C2semidirect
23. #19144783C2semidirect
24. #19144773C2semidirect
25. #19144715C2semidirect
26. #19144684C2semidirect
27. #19143566C2semidirect
28. #19143429C2semidirect
29. #19143420C2semidirect
30. C4×SD16×D43C2semidirect
31. C43×#3179C2semidirect
36. #14583631C22semidirect
37. #14583629C22semidirect
39. #14583607C22semidirect
46. #14583567C22semidirect
47. #14583559C22semidirect
48. #14583557C22semidirect
49. #14583552C22semidirect
51. #14583549C22semidirect
59. #14583521C22semidirect
67. #14583446C22semidirect
72. #14583379C22semidirect
73. #14583378C22semidirect
76. C4×Q8×D43C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583285C22semidirect
81. #14583274C22semidirect
82. #14583255C22semidirect
83. #14583244C22semidirect
84. #14583244C22semidirect
85. #14583244C22semidirect
86. #14583238C22semidirect
87. #14583237C22semidirect
88. #14583226C22semidirect
89. #14583220C22semidirect
90. #14583219C22semidirect
91. #14583219C22semidirect
92. #14583216C22semidirect
93. #14583215C22semidirect
94. #14583214C22semidirect
95. #14583211C22semidirect
96. #14583211C22semidirect
97. #14583210C22semidirect
98. #14583209C22semidirect
99. #14583203C22semidirect
100. #14583197C22semidirect
101. #14583196C22semidirect
102. #14583193C22semidirect
103. #14583192C22semidirect
105. #14583187C22semidirect
106. #14583187C22semidirect
107. #14583186C22semidirect
110. #14583153C22semidirect
111. #14583142C22semidirect
112. #14583136C22semidirect
113. #14583134C22semidirect
114. #14583134C22semidirect
115. #14583134C22semidirect
116. #14583132C22semidirect
117. #14583131C22semidirect
119. #14583116C22semidirect
121. #14583111C22semidirect
122. #14583098C22semidirect
123. #14583098C22semidirect
124. #14583097C22semidirect
125. #14583096C22semidirect
127. #14583092C22semidirect
128. #14583092C22semidirect
129. #14583091C22semidirect
132. #14583045C22semidirect
133. #14583042C22semidirect
134. #14583042C22semidirect
135. #14583041C22semidirect
136. #14583039C22semidirect
137. #14583036C22semidirect
142. #14583027C22semidirect
143. C8×Dic86C22semidirect
145. #14583012C22semidirect
146. #14583011C22semidirect
148. #14583009C22semidirect
150. #14583001C22semidirect
151. #14582999C22semidirect
153. #14582997C22semidirect
154. #14582990C22semidirect
155. #14582990C22semidirect
157. C4×#10621873C22semidirect
158. SD16×Dic43C22semidirect
161. C4×#10621883C22semidirect
164. C4×D344C22semidirect
165. C4×#10621882C22semidirect
166. C4×#10621882C22semidirect
168. #14582975C22semidirect
169. #14582972C22semidirect
170. #14582968C22semidirect
171. C8×D172C22semidirect
172. C8×C22⋊D43C22semidirect
173. C8×C22⋊D43C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
179. #106×D43C22semidirect
180. #14582896C22semidirect
181. #14582892C22semidirect
182. #103×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#542C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#488C22semidirect
193. C43×#486C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#466C22semidirect
197. C43×#465C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
690. #10621873#41semidirect
894. #3179D43semidirect
948. #542C2×D43semidirect
967. #501C2×D43semidirect
970. #496C2×D43semidirect
973. #488C2×D43semidirect
977. #486C2×D43semidirect
1003. #469C2×D43semidirect
1005. #468C2×D43semidirect
1011. #466C2×D43semidirect
1013. #465C2×D43semidirect
1045. #442C2×D43semidirect
1051. #440C2×D43semidirect
1061. C4×SD16C2×D43semidirect
1067. C4×D8C2×D43semidirect
1087. #405C2×D43semidirect
1089. C43#61498semidirect

Maximal subgroups

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

subgroupindex
#191486762
#191486252
#191476342
#191475022
#191472632
#191472522
#191472162
#191470642
#191470602
#191465402
#191464962
#191464922
#191464142
#191464072
#191464032
#191462122
#191460972
#191460892
#191452742
#191451712
#191447982
#191447882
#191447832
#191447732
#191447152
#191446842
#191435662
#191434292
#191434202
C4×SD16×D432
C43×#31792
#6149843