Finite Group Databasebeta

← #25977951

Subgroups — #25977951

Order 11008.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148488C211yesmaximal, characteristic, complemented
2#19148452C211yesmaximal, characteristic, complemented
3#19147678C211yesmaximal, characteristic, complemented
4#19147675C211yesmaximal, characteristic, complemented
5#19147673C211yesmaximal, characteristic, complemented
6#19147658C211yesmaximal, characteristic, complemented
7#19147656C211yesmaximal, characteristic, complemented
8#19147656C211yesmaximal, characteristic, complemented
9#19147655C211yesmaximal, characteristic, complemented
10#19147649C211yesmaximal, characteristic, complemented
11#19147648C211yesmaximal, characteristic, complemented
12#19147629C211yesmaximal, characteristic, complemented
13#19147628C211yesmaximal, characteristic, complemented
14#19147595C211yesmaximal, characteristic, complemented
15#19147588C211yesmaximal, characteristic, complemented
16#19147581C211yesmaximal, characteristic, complemented
17#19147578C211yesmaximal, characteristic, complemented
18#19145085C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19145060C211yesmaximal, characteristic, complemented
21#19144146C211yesmaximal, characteristic, complemented
22#19144129C211yesmaximal, characteristic, complemented
23#19144123C211yesmaximal, characteristic, complemented
24#19144105C211yesmaximal, characteristic, complemented
25#19144043C211yesmaximal, characteristic, complemented
26#464×D43C211yesmaximal, characteristic, complemented
27#19143540C211yesmaximal, characteristic, complemented
28#19143435C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143417C211yesmaximal, characteristic, complemented
31C43×#3403C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C2×#13063349C2211yescharacteristic
37C2×#13063344C2211yescharacteristic
38C2×#13063344C2211yescharacteristic
39C2×Q16×D43C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic
41#14583635C2211yescharacteristic
42#14583635C2211yescharacteristic, complemented
43#14583632C2211yescharacteristic
44#14583631C2211yescharacteristic
45#14583628C2211yescharacteristic, complemented
46#14583627C2211yescharacteristic, complemented
47#14583622C2211yescharacteristic
48#14583621C2211yescharacteristic
49#14583619C2211yescharacteristic
50#14583619C2211yescharacteristic, complemented
51#14583619C2211yescharacteristic, complemented
52#14583618—21no—
53#14583618C2211yescharacteristic
54#14583618C2211yescharacteristic, complemented
55#14583618C2211yescharacteristic, complemented
56#14583608—21no—
57#14583586—21no—
58#14583586—21no—
59#14583579—21no—
60#14583578—21no—
61#14583577—21no—
62#14583572—21no—
63#14583517—21no—
64#14583513—21no—
65#14583492—21no—
66#14583492—21no—
67#14583469C2211yescharacteristic
68#14583469C2211yescharacteristic
69#14583469C2211yescharacteristic
70#14583462C2211yescharacteristic
71#14583453C2211yescharacteristic
72#14583447C2211yescharacteristic
73#14583431—21no—
74#14583429—21no—
75#14583428—21no—
76#14583426—21no—
77#124×D43C2211yescharacteristic
78#14583378C2211yescharacteristic
79#14583378C2211yescharacteristic
80#14583375C2211yescharacteristic
81#14583371C2211yescharacteristic
82C4×#10621900C2211yescharacteristic
83C4×Q8×D43C2211yescharacteristic
84#14583294C2211yescharacteristic
85#14583294C2211yescharacteristic, complemented
86#14583294C2211yescharacteristic, complemented
87#14583293C2211yescharacteristic
88#14583293C2211yescharacteristic
89#14583290C2211yescharacteristic
90#14583290C2211yescharacteristic, complemented
91#14583290C2211yescharacteristic, complemented
92#14583287C2211yescharacteristic
93#14583286C2211yescharacteristic
94#14583282C2211yescharacteristic
95#14583282C2211yescharacteristic
96#14583282C2211yescharacteristic
97#14583282C2211yescharacteristic, complemented
98#14583281C2211yescharacteristic
99#14583280C2211yescharacteristic
100#14583280C2211yescharacteristic
101#14583279C2211yescharacteristic, complemented
102#14583277C2211yescharacteristic, complemented
103#14583271C2211yescharacteristic
104#14583270C2211yescharacteristic
105#14583124C2211yescharacteristic
106#14583123C2211yescharacteristic
107#14583122C2211yescharacteristic
108#14583122C2211yescharacteristic
109#14583121C2211yescharacteristic
110#14583120C2211yescharacteristic
111#14583120C2211yescharacteristic
112#14583120C2211yescharacteristic, complemented
113#14583120C2211yescharacteristic, complemented
114#14583120C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic
117#14583119C2211yescharacteristic, complemented
118#14583118C2211yescharacteristic
119#14583118C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic
122#14583113C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583112C2211yescharacteristic, complemented
128#14583111C2211yescharacteristic
129#14583110C2211yescharacteristic, complemented
130#14583110C2211yescharacteristic, complemented
131#14583110C2211yescharacteristic, complemented
132#14583109C2211yescharacteristic, complemented
133#14583108C2211yescharacteristic, complemented
134#14583108C2211yescharacteristic, complemented
135#14583107C2211yescharacteristic, complemented
136#14583105C2211yescharacteristic
137#14583104C2211yescharacteristic
138#14583104C2211yescharacteristic, complemented
139#14583104C2211yescharacteristic, complemented
140#14583103C2211yescharacteristic
141#14583102C2211yescharacteristic
142#14583102C2211yescharacteristic, complemented
143#14583098C2211yescharacteristic
144#14583096C2211yescharacteristic
145#14583096C2211yescharacteristic, complemented
146#14583092C2211yescharacteristic
147#14583030C2211yescharacteristic, complemented
148#14583028C2211yescharacteristic, complemented
149#14583028C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583027C2211yescharacteristic, complemented
152C8×Dic86C2211yescharacteristic, complemented
153#14583023C2211yescharacteristic, complemented
154#14583011C2211yescharacteristic
155#14583009C2211yescharacteristic
156#14583007C2211yescharacteristic, complemented
157#14583007C2211yescharacteristic, complemented
158#14583004C2211yescharacteristic, complemented
159#14583003C2211yescharacteristic, complemented
160#14582999C2211yescharacteristic
161#14582999C2211yescharacteristic, complemented
162#14582998C2211yescharacteristic
163#14582996C2211yescharacteristic, complemented
164#14582993C2211yescharacteristic, complemented
165#14582993C2211yescharacteristic, complemented
166C4×#10621885C2211yescharacteristic, complemented
167#14582991C2211yescharacteristic, complemented
168#14582990C2211yescharacteristic
169#14582990C2211yescharacteristic, complemented
170C4×#10621873C2211yescharacteristic
171SD16×Dic43C2211yescharacteristic, complemented
172SD16×Dic43C2211yescharacteristic, complemented
173C4×#10621883C2211yescharacteristic, complemented
174#14582979C2211yescharacteristic
175#14582940C2211yescharacteristic
176#14582924C2211yescharacteristic
177#14582924C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#559C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic
191C43×#496C2211yescharacteristic
192C43×#495C2211yescharacteristic, complemented
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063354—24no—
210#13063354—24no—
211#13063354—42no—
212#13063349—24no—
213#13063349—42no—
214#13063344—42no—
215#13063344—42no—
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×Dic172C2311yescharacteristic
219C2×Dic172C2311yescharacteristic
220C2×Dic172C2311yescharacteristic
221C2×Dic172C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621885C2311yescharacteristic
224C2×#10621885C2311yescharacteristic
225C2×#10621885C2311yescharacteristic
226C2×#10621885C2311yescharacteristic
227Q16×D43—42no—
228C2×#10621873C2311yescharacteristic
229C2×#10621873C2311yescharacteristic
230C2×#10621873C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621883C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242SD16×D43—42no—
243C2×#10621882C2311yescharacteristic
244C2×#10621882C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×C8×D43C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249#13063325C2311yescharacteristic
250#13063325C2311yescharacteristic
251#13063325C2311yescharacteristic
252#13063325C2311yescharacteristic
253#13063324D411yescharacteristic
254#13063323D411yescharacteristic
255#13063323C2311yescharacteristic
256#13063323C2311yescharacteristic
257#13063323C2311yescharacteristic
258#13063321C2311yescharacteristic
259#13063320—21no—
260#13063320—21no—
261#13063320—21no—
262#13063319—21no—
263#13063318—21no—
264#13063318—21no—
265#13063318—21no—
266#13063318—21no—
267#13063318—21no—
268#13063318—21no—
269#13063318—21no—
270#13063318—21no—
271#13063318—21no—
272#13063318—21no—
273#13063318—21no—
274#13063318—21no—
275#13063317—21no—
276#13063316—21no—
277#13063316—21no—
278#13063316—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315D411yescharacteristic
282#13063315D411yescharacteristic
283#13063314C2311yescharacteristic
284#13063313C2311yescharacteristic
285#13063313C2311yescharacteristic
286#13063312—21no—
287#13063312—21no—
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063312C2311yescharacteristic
293#13063312C2311yescharacteristic
294#13063312C2311yescharacteristic
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063309—21no—
300#13063308—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307—21no—
308#13063307—21no—
309#13063306—21no—
310#13063306—21no—
311#13063306—21no—
312#13063306—21no—
313#13063305D411yescharacteristic
314#13063304—21no—
315#13063304—21no—
316#13063304—21no—
317#13063303—21no—
318#13063303D411yescharacteristic
319#13063303D411yescharacteristic
320#13063302—21no—
321#13063302—21no—
322#13063302—21no—
323#13063302—21no—
324#13063302—21no—
325#13063302—21no—
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063301—21no—
330#13063301D411yescharacteristic
331#13063297—21no—
332#13063297—21no—
333#13063296—21no—
334#13063296—21no—
335#13063293—21no—
336#13063293—21no—
337Q8×Dic43—21no—
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86—21no—
342C4×Dic86—21no—
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346C4×Dic86C2311yescharacteristic
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349C4×Dic86C2311yescharacteristic
350C4×Dic86C2311yescharacteristic
351#13063290—21no—
352#13063290—21no—
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357#13063290C2311yescharacteristic
358C4×D172C2311yescharacteristic
359D4×Dic43—21no—
360D4×Dic43—21no—
361D4×Dic43—21no—
362D4×Dic43—21no—
363D4×Dic43C2311yescharacteristic
364D4×Dic43C2311yescharacteristic
365D4×Dic43C2311yescharacteristic
366D4×Dic43C2311yescharacteristic
367#13063287C2311yescharacteristic
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063284—21no—
379#13063284—21no—
380#13063284—21no—
381#13063283—21no—
382#13063283—21no—
383#13063283C2311yescharacteristic
384#13063282—21no—
385#13063282—21no—
386#13063282C2311yescharacteristic
387#13063282C2311yescharacteristic
388#13063281—21no—
389#13063281—21no—
390#13063281—21no—
391#13063281—21no—
392#13063281—21no—
393#13063281—21no—
394C2×Dic43⋊C4—21no—
395C2×Dic43⋊C4—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43C2311yescharacteristic
398C2×(C2×D43)⋊C4—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C2×C4×Dic43—21no—
403C42×D43—21no—
404C42×D43C2311yescharacteristic
405#13063258C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412Dic43⋊C8C2311yescharacteristic
413Dic43⋊C8C2311yescharacteristic
414Dic43⋊C8C2311yescharacteristic
415Dic43⋊C8C2311yescharacteristic
416Dic43⋊C8C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063250C2311yescharacteristic
420#13063250C2311yescharacteristic
421#13063250C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063246C2311yescharacteristic
434#13063245C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C4×C43⋊C8C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453#127×C43C2311yescharacteristic
454#127×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43—21no—
457#124×C43C2311yescharacteristic
458#124×C43C2311yescharacteristic
459#124×C43C2311yescharacteristic
460#124×C43C2311yescharacteristic
461#123×C43—21no—
462#123×C43—21no—
463#123×C43—21no—
464#123×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×Q8×C43C2311yescharacteristic
468C4×D4×C43—21no—
469C4×D4×C43—21no—
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473C4×D4×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485#97×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C2×Q8×C43C2×D411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—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×Dic43—21no—
515C22×Dic43—21no—
516Q8×D43—22no—
517Q8×D43—22no—
518Q8×D43—22no—
519Q8×D43—22no—
520#10621900—22no—
521#10621900—22no—
522#10621900—22no—
523#10621900—22no—
524#10621900—22no—
525#10621900—22no—
526D4×D43—22no—
527D4×D43—22no—
528C2×D172C2411yescharacteristic
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544C2×Dic86C2411yescharacteristic
545C2×Dic86C2411yescharacteristic
546C2×Dic86C2411yescharacteristic
547Q16×C43—41no—
548SD16×C43—22no—
549SD16×C43—22no—
550SD16×C43—41no—
551SD16×C43—41no—
552D8×C43—22no—
553D8×C43—41no—
554D8×C43—41no—
555D8×C43—41no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602#10621885—22no—
603#10621885—22no—
604#10621885—41no—
605#10621885—41no—
606#10621885—41no—
607#10621884—41no—
608#10621883—22no—
609#10621883—22no—
610#10621883—22no—
611#10621883—41no—
612#10621883—41no—
613#10621883—41no—
614#10621883—41no—
615#10621883—41no—
616#10621883—41no—
617#10621883—41no—
618#10621882—22no—
619#10621882—41no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43C2×D411yescharacteristic
689C4×Dic43C2×D411yescharacteristic
690C4×Dic43C2411yescharacteristic
691C4×Dic43C2411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695C2×C43⋊C8C2411yescharacteristic
696C2×C43⋊C8C2411yescharacteristic
697Dic172—22no—
698Dic172—22no—
699Dic172—41no—
700Dic172—41no—
701Dic172—41no—
702Dic172—41no—
703#10621873—22no—
704#10621873—41no—
705#10621873—41no—
706#10621872—22no—
707#10621872#4114yes—
708C8×D43—22no—
709C8×D43—22no—
710C23×C43—21no—
711C23×C43—21no—
712C23×C43—21no—
713C23×C43—21no—
714C22×D43—21no—
715C22×D43—42no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43C22×D411yescharacteristic
719Q8×C43—21no—
720Q8×C43—21no—
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—41no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—42no—
733D4×C43—81no—
734D4×C43—81no—
735D4×C43—81no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C2511yescharacteristic
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—42no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778D172—21no—
779D172—21no—
780C4×D43—41no—
781C4×D43—41no—
782C4×D43—42no—
783C4×D43—42no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43C2×#4112yes—
788C4×D43H(5,𝔽2)12yes—
789Dic86—21no—
790Dic86—21no—
791Dic86—21no—
792Dic86—21no—
793Dic86—21no—
794Dic86—21no—
795Dic86—21no—
796Dic86—21no—
797Dic86—21no—
798Dic86—21no—
799Dic86—41no—
800Dic86—41no—
801Dic86—41no—
802Dic86—42no—
803Dic86—42no—
804C8×C43—21no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43C2×#4112yes—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8C2×#4112yes—
812#61423—431nomaximal, Sylow
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43C23×D411yescharacteristic
826C2×D43—21no—
827C2×D43—21no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—162no—
832C2×D43#55012yes—
833C4×C43—21no—
834C4×C43—21no—
835C4×C43—21no—
836C4×C43—21no—
837C4×C43—21no—
838C4×C43—21no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43—41no—
842C4×C43—41no—
843C4×C43C22×#4111yescharacteristic
844C4×C43C2×H(5,𝔽2)11yescharacteristic
845Dic43—21no—
846Dic43—21no—
847Dic43—21no—
848Dic43—21no—
849Dic43—21no—
850Dic43—21no—
851Dic43—41no—
852Dic43—41no—
853Dic43—41no—
854Dic43—41no—
855Dic43—41no—
856Dic43—41no—
857Dic43—41no—
858Dic43#55012yes—
859#3510—431no—
860#3507—431no—
861#3403—431no—
862#3403D4311yescharacteristic, complemented
863#3402—431no—
864#3402—431no—
865#3401—431no—
866#3401—431no—
867#3401—431no—
868#3401—431no—
869#3400—431no—
870#3400—431no—
871#3398—431no—
872#3398—431no—
873#3394—431no—
874#3394—431no—
875#3393—431no—
876#3393—431no—
877#3156—431no—
878#3154—431no—
879#3153—431no—
880#3046—431no—
881#3045—431no—
882#3044—431no—
883#3042—431no—
884#3035—431no—
885C2×#464—431no—
886#2962—431no—
887#2947—431no—
888#2946—431no—
889C4×#137—431no—
890C2×C43—81no—
891C2×C43—81no—
892C2×C43—81no—
893C2×C43—81no—
894C2×C43C2×#55011yescharacteristic
895C2×C43#358411yescharacteristic
896C2×C43#358611yescharacteristic
897D43—22no—
898D43—81no—
899C2×#137—431no—
900C2×#137—431no—
901C2×#137—431no—
902C2×AGL(1,ℤ/8)—431no—
903C2×AGL(1,ℤ/8)—431no—
904C2×#135—431no—
905C2×#135—431no—
906C22×Q16—431no—
907C22×SD16—431no—
908#559—431no—
909#559—431no—
910#559—431no—
911#559—431no—
912#559C2×D4311yescharacteristic
913#559C2×D4311yescharacteristic, complemented
914#557—431no—
915#557—431no—
916#556—431no—
917#556—431no—
918#556—431no—
919#556—431no—
920#556—431no—
921#556—431no—
922#556—431no—
923#556—431no—
924#556—861no—
925#554—861no—
926#552—861no—
927#552—861no—
928#551—861no—
929#551—861no—
930#551—861no—
931#551—861no—
932#542—861no—
933#542—861no—
934#539—861no—
935#539—861no—
936#536—431no—
937#536—431no—
938#536—431no—
939#535—431no—
940#533—431no—
941#532—431no—
942#529—861no—
943#529—861no—
944#529—861no—
945#529—861no—
946C2×#124—431no—
947#520—431no—
948#520—431no—
949#519—431no—
950#518—431no—
951C4×#41—431no—
952C2×C4×Q8—431no—
953#497—431no—
954#497—431no—
955#497—431no—
956#497—431no—
957#497—431no—
958#497—431no—
959#497—431no—
960#497—431no—
961#496—431no—
962#496—431no—
963#496C2×D4311yescharacteristic
964#496C2×D4311yescharacteristic
965#495—431no—
966#495—431no—
967#495—431no—
968#495—431no—
969#495—431no—
970#495—431no—
971#495—431no—
972#495C2×D4311yescharacteristic, complemented
973#494—431no—
974#494—431no—
975#492—431no—
976#492—431no—
977#464—431no—
978#464—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#464—431no—
988#464—431no—
989#464—431no—
990#464—431no—
991#464—431no—
992#464—431no—
993#464C2×D4311yescharacteristic
994#464C2×D4311yescharacteristic, complemented
995#463—431no—
996#463—431no—
997#463—431no—
998#463—431no—
999#463—431no—
1000#463—431no—
1001#463—431no—
1002#463—431no—
1003#463C2×D4311yescharacteristic
1004#463C2×D4311yescharacteristic, complemented
1005#462—431no—
1006#462—431no—
1007#462—431no—
1008#462—431no—
1009#462—431no—
1010#462—431no—
1011#462—431no—
1012#461—431no—
1013#461—431no—
1014#461—431no—
1015#461—431no—
1016#461—431no—
1017#461—431no—
1018#461—431no—
1019#460—431no—
1020#460—431no—
1021#460—431no—
1022#459—431no—
1023#459C2×D4311yescharacteristic
1024#459C2×D4311yescharacteristic, complemented
1025#446—431no—
1026#446—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446C2×D4311yescharacteristic, complemented
1031C8×Q8—431no—
1032C8×Q8—431no—
1033#442—431no—
1034#442—431no—
1035#441—431no—
1036#441—431no—
1037#441—431no—
1038#441—431no—
1039#440—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440C2×D4311yescharacteristic, complemented
1044#440C2×D4311yescharacteristic, complemented
1045C4×Q16—431no—
1046C4×Q16—431no—
1047C4×Q16—431no—
1048C4×Q16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8C2×D4311yescharacteristic
1057#428—431no—
1058#424—431no—
1059#424—431no—
1060C2×C4⋊C8—431no—
1061#419—431no—
1062#417—431no—
1063#416—431no—
1064#416—431no—
1065C2×#103—431no—
1066C2×#102—431no—
1067#405—431no—
1068#405—431no—
1069C4×M16—431no—
1070C43#6142311yescharacteristic, complemented, Sylow
1071C2×#41—431no—
1072C2×#41—431no—
1073C2×#41—431no—
1074C22×Q8—431no—
1075C22×Q8—431no—
1076C22×D4—431no—
1077#137—864no—
1078#137—864no—
1079#137—1722no—
1080AGL(1,ℤ/8)—864no—
1081AGL(1,ℤ/8)—1722no—
1082#135—1722no—
1083#135—1722no—
1084C2×Q16—431no—
1085C2×Q16—431no—
1086C2×Q16—431no—
1087C2×Q16—431no—
1088C2×Q16—431no—
1089C2×Q16—431no—
1090C2×Q16—431no—
1091C2×Q16—431no—
1092C2×Q16—431no—
1093C2×Q16—431no—
1094C2×Q16—431no—
1095C2×Q16—1722no—
1096C2×Q16C22×D4311yescharacteristic
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—1722no—
1112C2×SD16C22×D4311yescharacteristic
1113C2×SD16C22×D4311yescharacteristic
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8C22×D4311yescharacteristic
1119C2×D8C22×D4311yescharacteristic
1120C2×D8C22×D4311yescharacteristic
1121C2×D8C22×D4311yescharacteristic
1122C2×M16—431no—
1123C2×M16—431no—
1124C22×C8—431no—
1125C22×C8—431no—
1126C4⋊Q8—431no—
1127C4⋊Q8—431no—
1128C4⋊Q8—431no—
1129C4⋊Q8—431no—
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135#127—431no—
1136#127C22×D4311yescharacteristic
1137#127C22×D4311yescharacteristic
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#126—861no—
1154#125—431no—
1155#125—431no—
1156#125—861no—
1157#125—861no—
1158#125—861no—
1159#125—861no—
1160#125—861no—
1161#125—861no—
1162#124—21no—
1163#124—21no—
1164#124—431no—
1165#124—431no—
1166#124—431no—
1167#124—431no—
1168#124—431no—
1169#124—431no—
1170#124—431no—
1171#124—431no—
1172#124—431no—
1173#124—431no—
1174#124—861no—
1175#124—861no—
1176#124—861no—
1177#124—861no—
1178#124—861no—
1179#124—861no—
1180#124C22×D4311yescharacteristic
1181#124C22×D4311yescharacteristic
1182#124C22×D4311yescharacteristic
1183#124C22×D4311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202C22⋊Q8—431no—
1203C22⋊Q8—431no—
1204C22⋊Q8—431no—
1205C22⋊Q8—431no—
1206C22⋊Q8—861no—
1207C22⋊Q8—861no—
1208C22⋊Q8—861no—
1209C22⋊Q8—861no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#120—861no—
1225#120—861no—
1226C4×Q8—431no—
1227C4×Q8—431no—
1228C4×Q8—431no—
1229C4×Q8—431no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—431no—
1237C4×Q8—431no—
1238C4×Q8—431no—
1239C4×Q8—431no—
1240C4×Q8—431no—
1241C4×Q8—861no—
1242C4×Q8—861no—
1243C4×Q8—861no—
1244C4×Q8—861no—
1245C4×Q8—861no—
1246C4×Q8—861no—
1247C4×Q8C22×D4311yescharacteristic
1248C4×Q8C22×D4311yescharacteristic
1249C4×Q8C22×D4311yescharacteristic
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
1257C4×D4—431no—
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×D4C22×D4311yescharacteristic
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#117—861no—
1283#117—861no—
1284#117—861no—
1285#117—861no—
1286#117—861no—
1287#117—861no—
1288#117—861no—
1289#117—861no—
1290#117—861no—
1291#117—861no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—861no—
1294C2×C4⋊C4—861no—
1295C2×C4⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C22⋊C4—861no—
1299C2×C22⋊C4—861no—
1300C2×C42—431no—
1301C2×C42—861no—
1302C2×C42—861no—
1303#107—431no—
1304#107C22×D4311yescharacteristic
1305#106—431no—
1306#106—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8C22×D4311yescharacteristic
1317C4⋊C8C22×D4311yescharacteristic
1318C4⋊C8C22×D4311yescharacteristic
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103—431no—
1329#103—431no—
1330#103—431no—
1331#103C22×D4311yescharacteristic
1332#103C22×D4311yescharacteristic
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#97—431no—
1344#97—431no—
1345#97—431no—
1346#97—431no—
1347#97C22×D4311yescharacteristic
1348#97C22×D4311yescharacteristic
1349C4×C8—431no—
1350C4×C8—431no—
1351C4×C8—431no—
1352C4×C8—431no—
1353C4×C8—431no—
1354C4×C8C22×D4311yescharacteristic
1355C24—861no—
1356#41—862no—
1357#41—862no—
1358#41—862no—
1359#41—862no—
1360#41—862no—
1361#41—862no—
1362C2×Q8—431no—
1363C2×Q8—431no—
1364C2×Q8—431no—
1365C2×Q8—431no—
1366C2×Q8—431no—
1367C2×Q8—431no—
1368C2×Q8—431no—
1369C2×Q8—431no—
1370C2×Q8—861no—
1371C2×Q8—861no—
1372C2×Q8—862no—
1373C2×Q8—862no—
1374C2×Q8—862no—
1375C2×Q8—862no—
1376C2×Q8D4×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—431no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C2×D4C23×D4311yescharacteristic
1395C2×D4C23×D4311yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
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×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415Q16—41no—
1416Q16—862no—
1417Q16—862no—
1418Q16—862no—
1419Q16—862no—
1420Q16—1721no—
1421Q16—1721no—
1422Q16—1721no—
1423Q16—1721no—
1424Q16—1721no—
1425Q16—1721no—
1426Q16—1721no—
1427SD16—22no—
1428SD16—22no—
1429SD16—41no—
1430SD16—41no—
1431SD16—862no—
1432SD16—862no—
1433SD16—862no—
1434SD16—862no—
1435SD16—1721no—
1436SD16—1721no—
1437SD16—1721no—
1438SD16—1721no—
1439SD16—1721no—
1440SD16—1721no—
1441SD16—1721no—
1442SD16—1721no—
1443SD16—1721no—
1444SD16—1721no—
1445D8—22no—
1446D8—41no—
1447D8—41no—
1448D8—41no—
1449D8—862no—
1450D8—1721no—
1451M16—434no—
1452M16—862no—
1453C2×C8—431no—
1454C2×C8—431no—
1455C2×C8—431no—
1456C2×C8—431no—
1457C2×C8—862no—
1458C2×C8—862no—
1459C2×C8C23×D4311yescharacteristic
1460C2×C8C23×D4311yescharacteristic
1461C2×C8C23×D4311yescharacteristic
1462C2×C8C23×D4311yescharacteristic
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—431no—
1471C4⋊C4—431no—
1472C4⋊C4—431no—
1473C4⋊C4—431no—
1474C4⋊C4—431no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
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⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
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⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C42—21no—
1556C42—21no—
1557C42—431no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42—861no—
1573C42—861no—
1574C42—861no—
1575C42C23×D4311yescharacteristic
1576C42C23×D4311yescharacteristic
1577C42C23×D4311yescharacteristic
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—431no—
1583C23—861no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—41no—
1592Q8—861no—
1593Q8—861no—
1594Q8—861no—
1595Q8—861no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—861no—
1600Q8—861no—
1601Q8—861no—
1602Q8—1721no—
1603Q8—1721no—
1604Q8—1721no—
1605Q8—1722no—
1606Q8—1722no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—861no—
1620D4—861no—
1621D4—3441no—
1622D4—3441no—
1623D4—1722no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—431no—
1636C2×C4—432no—
1637C2×C4—432no—
1638C2×C4—431no—
1639C2×C4—431no—
1640C2×C4—431no—
1641C2×C4—431no—
1642C2×C4—431no—
1643C2×C4—431no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—3441no—
1652C2×C4—3441no—
1653C2×C4—3441no—
1654C2×C4—3441no—
1655C2×C4—3441no—
1656C2×C4—3441no—
1657C2×C4—3441no—
1658C2×C4—1721no—
1659C2×C4—1721no—
1660C2×C4—1722no—
1661C2×C4—1722no—
1662C2×C4—1722no—
1663C2×C4—1722no—
1664C2×C4—1722no—
1665C2×C4C2×D4×D4311yescharacteristic
1666C2×C4C2×D4×D4311yescharacteristic
1667C2×C4C2×D4×D4311yescharacteristic
1668C2×C4C2×D4×D4311yescharacteristic
1669C2×C4C2×D4×D4311yescharacteristic
1670C2×C4C2×D4×D4311yescharacteristic
1671C2×C4C24×D4311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—432no—
1676C8—861no—
1677C8—861no—
1678C8—861no—
1679C8#41×D4312yes—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—432no—
1693C22—861no—
1694C22—861no—
1695C22—1721no—
1696C22—1721no—
1697C22—1721no—
1698C22—6882no—
1699C22C22×D4×D4311yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—432no—
1711C4—861no—
1712C4—861no—
1713C4—861no—
1714C4—861no—
1715C4—861no—
1716C4—861no—
1717C4—1721no—
1718C4—1721no—
1719C4—1721no—
1720C4—1721no—
1721C4—1721no—
1722C4—1721no—
1723C4—1721no—
1724C4C2×#41×D4311yescharacteristic
1725C4H(5,𝔽2)×D4311yescharacteristic
1726C2—81no—
1727C2—81no—
1728C2—81no—
1729C2—81no—
1730C2—862no—
1731C2—3441no—
1732C2#550×D4311yescharacteristic
1733C2#1914936311yescharacteristic
1734C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3403C2
socleC22×C43C23×D4
hypercenter#3403D43
hypocenterC43#61423
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3403

Complements

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

NH ≅ G/Ntype
1. #19148488C2semidirect
2. #19148452C2semidirect
3. #19147678C2semidirect
4. #19147675C2semidirect
5. #19147673C2semidirect
6. #19147658C2semidirect
7. #19147656C2semidirect
8. #19147656C2semidirect
9. #19147655C2semidirect
10. #19147649C2semidirect
11. #19147648C2semidirect
12. #19147629C2semidirect
13. #19147628C2semidirect
14. #19147595C2semidirect
15. #19147588C2semidirect
16. #19147581C2semidirect
17. #19147578C2semidirect
18. #19145085C2semidirect
19. #19145068C2semidirect
20. #19145060C2semidirect
21. #19144146C2semidirect
22. #19144129C2semidirect
23. #19144123C2semidirect
24. #19144105C2semidirect
25. #19144043C2semidirect
26. #464×D43C2semidirect
27. #19143540C2semidirect
28. #19143435C2semidirect
29. #19143420C2semidirect
30. #19143417C2semidirect
31. C43×#3403C2semidirect
42. #14583635C22semidirect
45. #14583628C22semidirect
46. #14583627C22semidirect
50. #14583619C22semidirect
51. #14583619C22semidirect
54. #14583618C22semidirect
55. #14583618C22semidirect
85. #14583294C22semidirect
86. #14583294C22semidirect
90. #14583290C22semidirect
91. #14583290C22semidirect
97. #14583282C22semidirect
101. #14583279C22semidirect
102. #14583277C22semidirect
112. #14583120C22semidirect
113. #14583120C22semidirect
114. #14583120C22semidirect
115. #14583120C22semidirect
117. #14583119C22semidirect
119. #14583118C22semidirect
120. #14583118C22semidirect
125. #14583112C22semidirect
126. #14583112C22semidirect
127. #14583112C22semidirect
129. #14583110C22semidirect
130. #14583110C22semidirect
131. #14583110C22semidirect
132. #14583109C22semidirect
133. #14583108C22semidirect
134. #14583108C22semidirect
135. #14583107C22semidirect
138. #14583104C22semidirect
139. #14583104C22semidirect
142. #14583102C22semidirect
145. #14583096C22semidirect
147. #14583030C22semidirect
148. #14583028C22semidirect
149. #14583028C22semidirect
150. #14583027C22semidirect
151. #14583027C22semidirect
152. C8×Dic86C22semidirect
153. #14583023C22semidirect
156. #14583007C22semidirect
157. #14583007C22semidirect
158. #14583004C22semidirect
159. #14583003C22semidirect
161. #14582999C22semidirect
163. #14582996C22semidirect
164. #14582993C22semidirect
165. #14582993C22semidirect
166. C4×#10621885C22semidirect
167. #14582991C22semidirect
169. #14582990C22semidirect
171. SD16×Dic43C22semidirect
172. SD16×Dic43C22semidirect
173. C4×#10621883C22semidirect
189. C43×#559C22semidirect
192. C43×#495C22semidirect
194. C43×#464C22semidirect
196. C43×#463C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
862. #3403D43semidirect
913. #559C2×D43semidirect
972. #495C2×D43semidirect
994. #464C2×D43semidirect
1004. #463C2×D43semidirect
1024. #459C2×D43semidirect
1030. #446C2×D43semidirect
1043. #440C2×D43semidirect
1044. #440C2×D43semidirect
1070. C43#61423semidirect

Maximal subgroups

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

subgroupindex
#191484882
#191484522
#191476782
#191476752
#191476732
#191476582
#191476562
#191476552
#191476492
#191476482
#191476292
#191476282
#191475952
#191475882
#191475812
#191475782
#191450852
#191450682
#191450602
#191441462
#191441292
#191441232
#191441052
#191440432
#464×D432
#191435402
#191434352
#191434202
#191434172
C43×#34032
#6142343