Finite Group Databasebeta

← #25966796

Subgroups — #25966796

Order 11008.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148345C211yesmaximal, characteristic, complemented
2#19148322C211yesmaximal, characteristic, complemented
3#19145306C211yesmaximal, characteristic, complemented
4#19145300C211yesmaximal, characteristic, complemented
5#19145291C211yesmaximal, characteristic, complemented
6#19145290C211yesmaximal, characteristic, complemented
7#19145281C211yesmaximal, characteristic, complemented
8#19145263C211yesmaximal, characteristic, complemented
9#19145258C211yesmaximal, characteristic, complemented
10#19145218C211yesmaximal, characteristic, complemented
11#19145217C211yesmaximal, characteristic, complemented
12#19145207C211yesmaximal, characteristic, complemented
13#19145206C211yesmaximal, characteristic, complemented
14#19145164C211yesmaximal, characteristic, complemented
15#19145163C211yesmaximal, characteristic, complemented
16#19145153C211yesmaximal, characteristic, complemented
17#19145151C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19144959C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144220C211yesmaximal, characteristic, complemented
23#19144213C211yesmaximal, characteristic, complemented
24#19144174C211yesmaximal, characteristic, complemented
25#465×D43C211yesmaximal, characteristic, complemented
26#19143477C211yesmaximal, characteristic, complemented
27#19143451C211yesmaximal, characteristic, complemented
28#19143431C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#405×D43C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×M16×D43C2211yescharacteristic
37C22×C8×D43C2211yescharacteristic
38#14583618—21no—
39#14583613—21no—
40#14583603—21no—
41#14583594—21no—
42#14583592—21no—
43#14583586—21no—
44#14583585—21no—
45#14583585—21no—
46#14583583—21no—
47#14583579—21no—
48#14583577—21no—
49#14583577—21no—
50#14583572—21no—
51#14583547—21no—
52#14583546—21no—
53#14583538—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583520C2211yescharacteristic
57#14583516C2211yescharacteristic
58#14583516C2211yescharacteristic, complemented
59#14583511C2211yescharacteristic, complemented
60#14583509C2211yescharacteristic, complemented
61#14583502C2211yescharacteristic
62#14583469C2211yescharacteristic
63#14583462C2211yescharacteristic
64#14583454C2211yescharacteristic, complemented
65#14583453C2211yescharacteristic, complemented
66#14583447C2211yescharacteristic
67#14583446C2211yescharacteristic
68#14583434C2211yescharacteristic
69#14583431C2211yescharacteristic
70#14583431C2211yescharacteristic, complemented
71#14583428C2211yescharacteristic, complemented
72#14583409C2211yescharacteristic
73#14583409C2211yescharacteristic
74C22⋊Q8×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76#14583378C2211yescharacteristic
77#14583378C2211yescharacteristic
78#14583375C2211yescharacteristic
79#14583371C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583295C2211yescharacteristic, complemented
88#14583293C2211yescharacteristic, complemented
89#14583290C2211yescharacteristic, complemented
90#14583287C2211yescharacteristic, complemented
91#14583282C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583271C2211yescharacteristic, complemented
94#14583270C2211yescharacteristic, complemented
95#14583269C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583263C2211yescharacteristic, complemented
98#14583262C2211yescharacteristic, complemented
99#14583261C2211yescharacteristic, complemented
100#14583258C2211yescharacteristic, complemented
101#14583257C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583254C2211yescharacteristic, complemented
104#14583252C2211yescharacteristic, complemented
105#14583252C2211yescharacteristic, complemented
106#14583250C2211yescharacteristic, complemented
107#14583248C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic
112#14583145C2211yescharacteristic
113#14583143C2211yescharacteristic
114#14583143C2211yescharacteristic, complemented
115#14583141C2211yescharacteristic, complemented
116#14583141C2211yescharacteristic, complemented
117#14583140C2211yescharacteristic, complemented
118#14583139C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic
120#14583132C2211yescharacteristic
121#14583132C2211yescharacteristic, complemented
122#14583131C2211yescharacteristic
123#14583130C2211yescharacteristic
124#14583129C2211yescharacteristic
125#14583129C2211yescharacteristic
126#14583128C2211yescharacteristic
127#14583127C2211yescharacteristic
128#14583127C2211yescharacteristic
129#14583127C2211yescharacteristic, complemented
130#14583127C2211yescharacteristic, complemented
131#14583127C2211yescharacteristic, complemented
132#14583126C2211yescharacteristic
133#14583126C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic
136#14583125C2211yescharacteristic, complemented
137#14583011C2211yescharacteristic, complemented
138#14583011C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14583007C2211yescharacteristic, complemented
141#14583005C2211yescharacteristic, complemented
142#14583005C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic, complemented
146#14583000C2211yescharacteristic, complemented
147#14582999C2211yescharacteristic, complemented
148#14582999C2211yescharacteristic, complemented
149#14582998C2211yescharacteristic, complemented
150#14582998C2211yescharacteristic, complemented
151C4×Dic172C2211yescharacteristic, complemented
152#14582991C2211yescharacteristic, complemented
153#14582990C2211yescharacteristic, complemented
154#14582990C2211yescharacteristic, complemented
155#14582990C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160C4×#10621883C2211yescharacteristic, complemented
161C4×#10621883C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582936C2211yescharacteristic
168#106×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582892C2211yescharacteristic
174#14582892C2211yescharacteristic
175#103×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582857C2211yescharacteristic, complemented
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582855C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582853C2211yescharacteristic
183#14582853C2211yescharacteristic
184#97×D43C2211yescharacteristic, complemented
185#97×D43C2211yescharacteristic, complemented
186C4×C8×D43C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211#13063354—24no—
212#13063349—24no—
213#13063344—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—24no—
226C2×#10621882C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230M16×D43—24no—
231C22×C43⋊C8C2311yescharacteristic
232C2×C8×D43—24no—
233C2×C8×D43C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063325C2311yescharacteristic
241#13063324—21no—
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063323—21no—
245#13063323C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063317C2311yescharacteristic
259#13063316—21no—
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063313C2311yescharacteristic
270#13063312—21no—
271#13063312—21no—
272#13063312—21no—
273#13063312C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063310—21no—
278#13063309—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063306—21no—
289#13063306—21no—
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063301—21no—
308#13063301—21no—
309#13063301C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296—21no—
319#13063296—21no—
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327Q8×Dic43—21no—
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334#13063290—21no—
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
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#13063284—21no—
360#13063284—21no—
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283D411yescharacteristic
366#13063283D411yescharacteristic
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063282C2311yescharacteristic
373#13063281—21no—
374#13063281—21no—
375#13063281—21no—
376#13063281D411yescharacteristic
377#13063281D411yescharacteristic
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43D411yescharacteristic
382C4⋊C4×D43D411yescharacteristic
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C2×(C2×D43)⋊C4—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43—21no—
388C22⋊C4×D43—21no—
389C22⋊C4×D43D411yescharacteristic
390C22⋊C4×D43D411yescharacteristic
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43C2311yescharacteristic
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43C2×D411yescharacteristic
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
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—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43C2×D411yescharacteristic
515Q8×D43—22no—
516Q8×D43—22no—
517#10621900—22no—
518#10621900—22no—
519#10621900—22no—
520#10621900—22no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—82no—
525#10621898—82no—
526C2×D172—21no—
527C2×D172C2411yescharacteristic
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550SD16×C43—22no—
551SD16×C43—22no—
552D8×C43—22no—
553D8×C43—22no—
554M16×C43—22no—
555C2×C8×C43—22no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43C2×D411yescharacteristic
581C22⋊C4×C43C2×D411yescharacteristic
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43C2×D411yescharacteristic
599C22⋊Dic43C2×D411yescharacteristic
600#10621885—22no—
601#10621884—22no—
602#10621883—22no—
603#10621883—22no—
604#10621883—22no—
605#10621883—22no—
606#10621883—22no—
607#10621882—22no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊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⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685Dic172—22no—
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872#4114yescomplemented
690C8×D43—22no—
691C8×D43—22no—
692C8×D43—22no—
693C8×D43—22no—
694C8×D43—22no—
695C8×D43#4114yescomplemented
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—21no—
699C23×C43C22×D411yescharacteristic
700C22×D43—22no—
701C22×D43—22no—
702C22×D43—21no—
703C22×D43—41no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709Q8×C43—21no—
710Q8×C43—21no—
711Q8×C43—81no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723C2×C4×C43—21no—
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—81no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C2×Dic43—22no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—21no—
768D172—21no—
769D172—42no—
770C4×D43—22no—
771C4×D43—22no—
772C4×D43—22no—
773C4×D43—21no—
774C4×D43—21no—
775C4×D43—22no—
776C4×D43—41no—
777C4×D43—41no—
778C4×D43—42no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43C2×#4112yes—
784C4×D43C2×#4112yes—
785Dic86—21no—
786Dic86—21no—
787Dic86—21no—
788Dic86—21no—
789Dic86—21no—
790Dic86—21no—
791Dic86—42no—
792Dic86—81no—
793Dic86—81no—
794Dic86—81no—
795C8×C43—21no—
796C8×C43—21no—
797C8×C43C2×#4112yes—
798C8×C43C2×#4112yes—
799C43⋊C8—21no—
800C43⋊C8—21no—
801C43⋊C8C2×#4112yes—
802C43⋊C8C2×#4112yes—
803#60706—431nomaximal, Sylow
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43C23×D411yescharacteristic
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—44no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—162no—
826C2×D43#53212yes—
827C2×D43#57712yes—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43C22×#4111yescharacteristic
839C4×C43C22×#4111yescharacteristic
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43#53212yes—
853#3495—431no—
854#3494—431no—
855#3181—431no—
856#3181—431no—
857#3180—431no—
858#3180—431no—
859#3179—431no—
860#3179D4311yescharacteristic, complemented
861#3178—431no—
862#3178—431no—
863#3174—431no—
864#3174—431no—
865#3173—431no—
866#3173—431no—
867#3168—431no—
868#3168—431no—
869#3167—431no—
870#3167—431no—
871#3163—431no—
872#3154—431no—
873#3137—431no—
874#3136—431no—
875#3056—431no—
876#3055—431no—
877#3050—431no—
878C2×#465—431no—
879#2952—431no—
880#2949—431no—
881#2947—431no—
882#2946—431no—
883C2×#405—431no—
884C2×C43—41no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43—81no—
888C2×C43C2×#53211yescharacteristic
889C2×C43C2×#57711yescharacteristic
890C2×C43#358411yescharacteristic
891D43—22no—
892D43—22no—
893D43—81no—
894C2×#137—431no—
895C2×AGL(1,ℤ/8)—431no—
896C2×#135—431no—
897C22×SD16—431no—
898C22×M16—431no—
899C23×C8—431no—
900#556—861no—
901#555—861no—
902#554—861no—
903#553—861no—
904#553—861no—
905#552—861no—
906#552—861no—
907#552—861no—
908#552—861no—
909#551—861no—
910#551—861no—
911#551—861no—
912#551—861no—
913#547—861no—
914#546—861no—
915#546—861no—
916#544—431no—
917#544—431no—
918#542—431no—
919#542—431no—
920#542—431no—
921#542C2×D4311yescharacteristic, complemented
922#541—431no—
923#541—431no—
924#540—431no—
925#540C2×D4311yescharacteristic
926#536—431no—
927#535—431no—
928#533—431no—
929#533—431no—
930#532—431no—
931#532—431no—
932#529—431no—
933#529—431no—
934#529—431no—
935#529—431no—
936#525—431no—
937#525—431no—
938C2×C22⋊Q8—431no—
939C2×#121—431no—
940#520—431no—
941#520—431no—
942#519—431no—
943#518—431no—
944C2×#117—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501C2×D4311yescharacteristic, complemented
949#499—431no—
950#499—431no—
951#498—431no—
952#498—431no—
953#497—431no—
954#497—431no—
955#496—431no—
956#496C2×D4311yescharacteristic, complemented
957#495—431no—
958#495—431no—
959#492—431no—
960#492—431no—
961#491—431no—
962#491—431no—
963#490—431no—
964#490—431no—
965#489—431no—
966#489—431no—
967#489—431no—
968#489—431no—
969#488—431no—
970#488—431no—
971#488—431no—
972#488C2×D4311yescharacteristic, complemented
973#487—431no—
974#487—431no—
975#486—431no—
976#486C2×D4311yescharacteristic, complemented
977#470—431no—
978#470—431no—
979#469—431no—
980#469C2×D4311yescharacteristic
981#468—431no—
982#468—431no—
983#468—431no—
984#468C2×D4311yescharacteristic, complemented
985#467—431no—
986#467—431no—
987#467—431no—
988#467—431no—
989#466—431no—
990#466—431no—
991#466—431no—
992#466C2×D4311yescharacteristic, complemented
993#465—431no—
994#465—431no—
995#465—431no—
996#465—431no—
997#465—431no—
998#465—431no—
999#465—431no—
1000#465—431no—
1001#465—431no—
1002#465—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465C2×D4311yescharacteristic
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442C2×D4311yescharacteristic, complemented
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×SD16—431no—
1038C4×SD16C2×D4311yescharacteristic, complemented
1039C4×D8—431no—
1040C4×D8C2×D4311yescharacteristic, complemented
1041#428—431no—
1042#428—431no—
1043#427—431no—
1044C2×#106—431no—
1045#419—431no—
1046#418—431no—
1047#417—431no—
1048#417—431no—
1049#416—431no—
1050#416—431no—
1051C2×#103—431no—
1052C2×#102—431no—
1053#405—431no—
1054#405—431no—
1055#405—431no—
1056#405—431no—
1057#405—431no—
1058#405—431no—
1059#405—431no—
1060#405C2×D4311yescharacteristic, complemented
1061C2×#97—431no—
1062C2×#97—431no—
1063C2×C4×C8—431no—
1064C2×C4×C8—431no—
1065C43#6070611yescharacteristic, complemented, Sylow
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C22×Q8—431no—
1071C22×D4—431no—
1072C22×D4—861no—
1073C23×C4—431no—
1074#137—864no—
1075AGL(1,ℤ/8)—864no—
1076#135—864no—
1077C2×Q16—431no—
1078C2×Q16—431no—
1079C2×Q16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—431no—
1088C2×SD16—864no—
1089C2×SD16C22×D4311yescharacteristic
1090C2×SD16C22×D4311yescharacteristic
1091C2×D8—431no—
1092C2×D8C22×D4311yescharacteristic
1093C2×D8C22×D4311yescharacteristic
1094C2×M16—431no—
1095C2×M16—431no—
1096C2×M16—431no—
1097C2×M16—864no—
1098C2×M16C22×D4311yescharacteristic
1099C22×C8—431no—
1100C22×C8—431no—
1101C22×C8—431no—
1102C22×C8—431no—
1103C22×C8—431no—
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8—864no—
1107C22×C8C22×D4311yescharacteristic
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—431no—
1111C4⋊Q8—431no—
1112C4⋊Q8—431no—
1113C4⋊Q8—861no—
1114C4⋊Q8—861no—
1115C4⋊Q8C22×D4311yescharacteristic
1116#127—431no—
1117#127C22×D4311yescharacteristic
1118#126—21no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#126—861no—
1128#126—861no—
1129#126—861no—
1130#125—431no—
1131#125—431no—
1132#125—431no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#125—861no—
1141#125C22×D4311yescharacteristic
1142#124—21no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124C22×D4311yescharacteristic
1152#123—21no—
1153#123—21no—
1154#123—21no—
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—
1168C22⋊Q8—21no—
1169C22⋊Q8—431no—
1170C22⋊Q8—431no—
1171C22⋊Q8—431no—
1172C22⋊Q8—431no—
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—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8C22×D4311yescharacteristic
1190#121—21no—
1191#121—21no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
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#121C22×D4311yescharacteristic
1206#121C22×D4311yescharacteristic
1207#121C22×D4311yescharacteristic
1208#120—861no—
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8—861no—
1222C4×Q8—861no—
1223C4×Q8C22×D4311yescharacteristic
1224C4×D4—431no—
1225C4×D4—431no—
1226C4×D4—431no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4—861no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4C22×D4311yescharacteristic
1246C4×D4C22×D4311yescharacteristic
1247C4×D4C22×D4311yescharacteristic
1248#117—431no—
1249#117—431no—
1250#117—431no—
1251#117—431no—
1252#117—431no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—431no—
1257#117—861no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117C22×D4311yescharacteristic
1268C2×C4⋊C4—431no—
1269C2×C4⋊C4—431no—
1270C2×C4⋊C4—431no—
1271C2×C4⋊C4—431no—
1272C2×C4⋊C4—861no—
1273C2×C4⋊C4—861no—
1274C2×C4⋊C4—861no—
1275C2×C22⋊C4—431no—
1276C2×C22⋊C4—431no—
1277C2×C22⋊C4—861no—
1278C2×C22⋊C4—861no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C42—431no—
1282C2×C42—431no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107C22×D4311yescharacteristic
1288#107C22×D4311yescharacteristic
1289#106—431no—
1290#106—431no—
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106C22×D4311yescharacteristic
1298#106C22×D4311yescharacteristic
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103—431no—
1310#103—431no—
1311#103—431no—
1312#103—431no—
1313#103C22×D4311yescharacteristic
1314#103C22×D4311yescharacteristic
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102C22×D4311yescharacteristic
1326#102C22×D4311yescharacteristic
1327#102C22×D4311yescharacteristic
1328#102C22×D4311yescharacteristic
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97C22×D4311yescharacteristic
1338#97C22×D4311yescharacteristic
1339C4×C8—431no—
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8—431no—
1345C4×C8C22×D4311yescharacteristic
1346C4×C8C22×D4311yescharacteristic
1347C24—431no—
1348C24—861no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—3442no—
1354#41—3442no—
1355C2×Q8—21no—
1356C2×Q8—431no—
1357C2×Q8—431no—
1358C2×Q8—431no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×Q8—861no—
1362C2×Q8—862no—
1363C2×Q8—862no—
1364C2×Q8—861no—
1365C2×Q8C23×D4311yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—431no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—862no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—3442no—
1385C2×D4C23×D4311yescharacteristic
1386C2×D4C23×D4311yescharacteristic
1387C2×D4C23×D4311yescharacteristic
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—862no—
1401C22×C4—862no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4C23×D4311yescharacteristic
1413Q16—862no—
1414Q16—862no—
1415Q16—862no—
1416SD16—22no—
1417SD16—22no—
1418SD16—862no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425SD16—862no—
1426D8—22no—
1427D8—22no—
1428D8—862no—
1429M16—22no—
1430M16—434no—
1431M16—862no—
1432M16—862no—
1433C2×C8—22no—
1434C2×C8—431no—
1435C2×C8—431no—
1436C2×C8—434no—
1437C2×C8—431no—
1438C2×C8—431no—
1439C2×C8—862no—
1440C2×C8—862no—
1441C2×C8—862no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4D4×D4311yescharacteristic
1494C4⋊C4D4×D4311yescharacteristic
1495C4⋊C4C23×D4311yescharacteristic
1496C4⋊C4C23×D4311yescharacteristic
1497C4⋊C4C23×D4311yescharacteristic
1498C4⋊C4C23×D4311yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—431no—
1509C22⋊C4—431no—
1510C22⋊C4—431no—
1511C22⋊C4—431no—
1512C22⋊C4—431no—
1513C22⋊C4—431no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1540C22⋊C4D4×D4311yescharacteristic
1541C42—21no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—431no—
1548C42—861no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42—861no—
1556C42—861no—
1557C42C23×D4311yescharacteristic
1558C42C23×D4311yescharacteristic
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—431no—
1563C23—431no—
1564C23—862no—
1565C23—862no—
1566C23—861no—
1567C23—3441no—
1568C23—3441no—
1569C23—1721no—
1570C23—1722no—
1571C23C2×D4×D4311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—81no—
1575Q8—861no—
1576Q8—861no—
1577Q8—861no—
1578Q8—861no—
1579Q8—861no—
1580Q8—861no—
1581Q8—3441no—
1582Q8—3441no—
1583Q8—3441no—
1584Q8—1722no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—861no—
1597D4—861no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—1722no—
1602D4—1722no—
1603D4—1722no—
1604D4—1722no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—431no—
1619C2×C4—432no—
1620C2×C4—432no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—862no—
1627C2×C4—862no—
1628C2×C4—862no—
1629C2×C4—862no—
1630C2×C4—862no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—3441no—
1646C2×C4—3441no—
1647C2×C4—1721no—
1648C2×C4—1721no—
1649C2×C4—1722no—
1650C2×C4—1722no—
1651C2×C4—1722no—
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C2×D4×D4311yescharacteristic
1657C2×C4C24×D4311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—432no—
1661C8—432no—
1662C8—861no—
1663C8—861no—
1664C8#41×D4312yes—
1665C8#41×D4312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—432no—
1679C22—432no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—861no—
1684C22—1724no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—432no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4C2×#41×D4311yescharacteristic
1714C4C2×#41×D4311yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—862no—
1720C2—862no—
1721C2—3441no—
1722C2#532×D4311yescharacteristic
1723C2#577×D4311yescharacteristic
1724C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#60706
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. #19148345C2semidirect
2. #19148322C2semidirect
3. #19145306C2semidirect
4. #19145300C2semidirect
5. #19145291C2semidirect
6. #19145290C2semidirect
7. #19145281C2semidirect
8. #19145263C2semidirect
9. #19145258C2semidirect
10. #19145218C2semidirect
11. #19145217C2semidirect
12. #19145207C2semidirect
13. #19145206C2semidirect
14. #19145164C2semidirect
15. #19145163C2semidirect
16. #19145153C2semidirect
17. #19145151C2semidirect
18. #19145122C2semidirect
19. #19145068C2semidirect
20. #19144959C2semidirect
21. #19144944C2semidirect
22. #19144220C2semidirect
23. #19144213C2semidirect
24. #19144174C2semidirect
25. #465×D43C2semidirect
26. #19143477C2semidirect
27. #19143451C2semidirect
28. #19143431C2semidirect
29. #19143420C2semidirect
30. #405×D43C2semidirect
31. C43×#3179C2semidirect
58. #14583516C22semidirect
59. #14583511C22semidirect
60. #14583509C22semidirect
64. #14583454C22semidirect
65. #14583453C22semidirect
70. #14583431C22semidirect
71. #14583428C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583300C22semidirect
85. #14583298C22semidirect
86. #14583296C22semidirect
87. #14583295C22semidirect
88. #14583293C22semidirect
89. #14583290C22semidirect
90. #14583287C22semidirect
91. #14583282C22semidirect
92. #14583281C22semidirect
93. #14583271C22semidirect
94. #14583270C22semidirect
95. #14583269C22semidirect
96. #14583266C22semidirect
97. #14583263C22semidirect
98. #14583262C22semidirect
99. #14583261C22semidirect
100. #14583258C22semidirect
101. #14583257C22semidirect
102. #14583257C22semidirect
103. #14583254C22semidirect
104. #14583252C22semidirect
105. #14583252C22semidirect
106. #14583250C22semidirect
107. #14583248C22semidirect
108. #14583244C22semidirect
109. #14583157C22semidirect
110. #14583155C22semidirect
114. #14583143C22semidirect
115. #14583141C22semidirect
116. #14583141C22semidirect
117. #14583140C22semidirect
118. #14583139C22semidirect
121. #14583132C22semidirect
129. #14583127C22semidirect
130. #14583127C22semidirect
131. #14583127C22semidirect
133. #14583126C22semidirect
134. #14583126C22semidirect
136. #14583125C22semidirect
137. #14583011C22semidirect
138. #14583011C22semidirect
139. #14583009C22semidirect
140. #14583007C22semidirect
141. #14583005C22semidirect
142. #14583005C22semidirect
143. #14583004C22semidirect
144. #14583001C22semidirect
145. #14583000C22semidirect
146. #14583000C22semidirect
147. #14582999C22semidirect
148. #14582999C22semidirect
149. #14582998C22semidirect
150. #14582998C22semidirect
151. C4×Dic172C22semidirect
152. #14582991C22semidirect
153. #14582990C22semidirect
154. #14582990C22semidirect
155. #14582990C22semidirect
156. #14582990C22semidirect
157. #14582990C22semidirect
158. C4×#10621873C22semidirect
159. C4×#10621884C22semidirect
160. C4×#10621883C22semidirect
161. C4×#10621883C22semidirect
162. C4×#10621883C22semidirect
163. #14582984C22semidirect
164. #14582979C22semidirect
177. #14582857C22semidirect
180. #14582855C22semidirect
181. #14582854C22semidirect
184. #97×D43C22semidirect
185. #97×D43C22semidirect
186. C4×C8×D43C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#542C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#488C22semidirect
193. C43×#486C22semidirect
195. C43×#468C22semidirect
196. C43×#466C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
689. #10621872#41semidirect
695. C8×D43#41semidirect
860. #3179D43semidirect
921. #542C2×D43semidirect
948. #501C2×D43semidirect
956. #496C2×D43semidirect
972. #488C2×D43semidirect
976. #486C2×D43semidirect
984. #468C2×D43semidirect
992. #466C2×D43semidirect
1012. #442C2×D43semidirect
1024. #440C2×D43semidirect
1038. C4×SD16C2×D43semidirect
1040. C4×D8C2×D43semidirect
1060. #405C2×D43semidirect
1065. C43#60706semidirect

Maximal subgroups

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

subgroupindex
#191483452
#191483222
#191453062
#191453002
#191452912
#191452902
#191452812
#191452632
#191452582
#191452182
#191452172
#191452072
#191452062
#191451642
#191451632
#191451532
#191451512
#191451222
#191450682
#191449592
#191449442
#191442202
#191442132
#191441742
#465×D432
#191434772
#191434512
#191434312
#191434202
#405×D432
C43×#31792
#6070643