Finite Group Databasebeta

← #25973725

Subgroups — #25973725

Order 11008.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D43C211yesmaximal, characteristic, complemented
2D4×#10621900C211yesmaximal, characteristic
3#19146869C211yesmaximal, characteristic, complemented
4#19146861C211yesmaximal, characteristic, complemented
5#19146815C211yesmaximal, characteristic, complemented
6#19146807C211yesmaximal, characteristic, complemented
7#19146728C211yesmaximal, characteristic, complemented
8#19146720C211yesmaximal, characteristic, complemented
9#19146696C211yesmaximal, characteristic, complemented
10#19146688C211yesmaximal, characteristic, complemented
11#19146648C211yesmaximal, characteristic, complemented
12#19146640C211yesmaximal, characteristic, complemented
13#19146616C211yesmaximal, characteristic, complemented
14#19146488C211yesmaximal, characteristic, complemented
15#19146480C211yesmaximal, characteristic, complemented
16#19146434C211yesmaximal, characteristic, complemented
17#19146426C211yesmaximal, characteristic, complemented
18#19144994C211yesmaximal, characteristic, complemented
19#19144523C211yesmaximal, characteristic, complemented
20#19144514C211yesmaximal, characteristic, complemented
21#19144412C211yesmaximal, characteristic, complemented
22#19144220C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144062C211yesmaximal, characteristic, complemented
25#19143850C211yesmaximal, characteristic, complemented
26#19143850C211yesmaximal, characteristic, complemented
27#19143417C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29#19143109C211yesmaximal, characteristic, complemented
30C2×#14582897C211yesmaximal, characteristic, complemented
31C43×#3310C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C22×#10621900C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C22×#10621872C2211yescharacteristic, complemented
38C2×M16×D43C2211yescharacteristic, complemented
39#14583591C2211yescharacteristic, complemented
40#14583590C2211yescharacteristic, complemented
41#14583589C2211yescharacteristic
42#14583588C2211yescharacteristic, complemented
43#14583587C2211yescharacteristic, complemented
44#14583586—21no—
45#14583585—21no—
46#14583584C2211yescharacteristic, complemented
47#14583583C2211yescharacteristic, complemented
48#14583582—21no—
49#14583581—21no—
50#14583569C2211yescharacteristic
51D4×Dic86C2211yescharacteristic
52#14583555C2211yescharacteristic
53#14583555C2211yescharacteristic
54#14583553C2211yescharacteristic
55#14583549—21no—
56#14583543C2211yescharacteristic
57#14583543C2211yescharacteristic
58#14583536—21no—
59#14583536—21no—
60D4×C22⋊D43—21no—
61#14583447C2211yescharacteristic
62#14583444—21no—
63#126×D43—21no—
64#125×D43—21no—
65#125×D43C2211yescharacteristic, complemented
66#14583409C2211yescharacteristic
67#14583409C2211yescharacteristic
68#14583405—21no—
69#14583405—21no—
70#123×D43—21no—
71C22⋊Q8×D43C2211yescharacteristic, complemented
72C22⋊Q8×D43C2211yescharacteristic, complemented
73C4×#10621900C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic, complemented
75C2×D4×Dic43—21no—
76C4×D4×D43C2211yescharacteristic
77#117×D43—21no—
78#117×D43C2211yescharacteristic, complemented
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583269C2211yescharacteristic, complemented
81#14583268C2211yescharacteristic, complemented
82#14583263C2211yescharacteristic, complemented
83#14583252C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583230C2211yescharacteristic, complemented
94#14583229C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583210C2211yescharacteristic, complemented
101#14583209C2211yescharacteristic, complemented
102#14583207C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583203C2211yescharacteristic, complemented
105#14583201C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583197C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583142C2211yescharacteristic, complemented
115#14583141C2211yescharacteristic, complemented
116#14583140C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583126C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583119C2211yescharacteristic, complemented
126#14583110C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic, complemented
129#14583062C2211yescharacteristic, complemented
130#14583062C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic, complemented
134#14583058C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583058C2211yescharacteristic, complemented
137#14583057C2211yescharacteristic, complemented
138#14583057C2211yescharacteristic, complemented
139#14583054C2211yescharacteristic, complemented
140#14583054C2211yescharacteristic, complemented
141#14583050C2211yescharacteristic, complemented
142#14583050C2211yescharacteristic, complemented
143#14583007C2211yescharacteristic, complemented
144#14583004C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582993C2211yescharacteristic, complemented
147#14582991C2211yescharacteristic, complemented
148#14582990C2211yescharacteristic, complemented
149SD16×Dic43C2211yescharacteristic, complemented
150#14582975C2211yescharacteristic, complemented
151#14582974C2211yescharacteristic, complemented
152#14582972C2211yescharacteristic, complemented
153#14582971C2211yescharacteristic
154#14582969C2211yescharacteristic, complemented
155C8×C22⋊D43C2211yescharacteristic, complemented
156(C22⋊D43)⋊C8C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic, complemented
160#14582921C2211yescharacteristic, complemented
161#14582909C2211yescharacteristic, complemented
162#14582907C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic, complemented
164#14582904C2211yescharacteristic, complemented
165#14582897C2211yescharacteristic
166#14582897C2211yescharacteristic
167#14582897C2211yescharacteristic
168#14582897C2211yescharacteristic, complemented
169#14582897C2211yescharacteristic, complemented
170#14582897C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582897C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic, complemented
177#14582897C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic, complemented
182C2×#13063250C2211yescharacteristic, complemented
183C2×#13063248C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic
189D42×C43C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#418C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#10621900—24no—
204C2×#10621900—24no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—42no—
210C2×#10621900—42no—
211C2×#10621900C2311yescharacteristic
212C2×#10621900C2311yescharacteristic
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C22×Dic86C2311yescharacteristic
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C22×C22⋊D43—21no—
222C22×C22⋊D43—21no—
223C2×D4×D43D411yescharacteristic
224C23×Dic43—21no—
225C23×Dic43—21no—
226C22×C4×D43—21no—
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229#13063354—24no—
230#13063354—42no—
231#13063354—42no—
232C2×Dic172C2311yescharacteristic
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621877C2311yescharacteristic
242C2×#10621872—42no—
243C2×#10621872C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249M16×D43—42no—
250C22×C43⋊C8C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253#13063325C2311yescharacteristic
254#13063324—21no—
255#13063321—21no—
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063319—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063317—21no—
264#13063317C2311yescharacteristic
265#13063316—21no—
266#13063316—21no—
267#13063316C2311yescharacteristic
268#13063316C2311yescharacteristic
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063312C2311yescharacteristic
276#13063312C2311yescharacteristic
277#13063311—21no—
278#13063311—21no—
279#13063310—21no—
280#13063310—21no—
281#13063309—21no—
282#13063309—21no—
283#13063309—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063299—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063294—21no—
322#13063294—21no—
323#13063293—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43D411yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287D411yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43C2311yescharacteristic
346C4×C22⋊D43C2311yescharacteristic
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4D411yescharacteristic
351(C22⋊D43)⋊C4D411yescharacteristic
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063283—21no—
355#13063283—21no—
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×Dic43⋊C4—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43D411yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C2×C22⋊Dic43—21no—
383C2×C22⋊Dic43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43D411yescharacteristic
388C22⋊C4×D43D411yescharacteristic
389C2×C4×Dic43—21no—
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063246C2311yescharacteristic
434#13063246C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C22×D4×C43—21no—
445C22×D4×C43C2311yescharacteristic
446C22×D4×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451C22×C8×C43C2311yescharacteristic
452#127×C43C2311yescharacteristic
453#126×C43—21no—
454#125×C43—21no—
455#125×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#120×C43—21no—
463#120×C43—21no—
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C24×C43—21no—
488C24×C43—21no—
489C23×D43C2×D411yescharacteristic
490C23×D43C2×D411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—22no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43—41no—
502C2×D4×C43—44no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—44no—
521C2×C22⋊D43—44no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—44no—
536C22×Dic43—44no—
537C22×Dic43C2×D411yescharacteristic
538C22×Dic43C2×D411yescharacteristic
539Q8×D43—22no—
540Q8×D43—22no—
541#10621900—22no—
542#10621900—22no—
543#10621900—22no—
544#10621900—22no—
545#10621900—22no—
546#10621900—22no—
547#10621900—22no—
548#10621900—22no—
549#10621900—22no—
550#10621900—41no—
551#10621900—41no—
552#10621900—41no—
553#10621900—41no—
554#10621900—44no—
555#10621900—44no—
556#10621900—44no—
557#10621900—44no—
558#10621900#4114yes—
559D4×D43—42no—
560C2×D172C2×D411yescharacteristic
561C2×C4×D43—22no—
562C2×C4×D43—22no—
563C2×C4×D43—22no—
564C2×C4×D43—22no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—44no—
572C2×C4×D43C2×D411yescharacteristic
573C2×C4×D43C2×D411yescharacteristic
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2411yescharacteristic
579C2×C4×D43C2411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×Dic86—22no—
582C2×Dic86—22no—
583C2×Dic86—21no—
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—41no—
587C2×Dic86—41no—
588C2×Dic86C2411yescharacteristic
589C2×Dic86C2411yescharacteristic
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592SD16×C43—22no—
593SD16×C43—41no—
594SD16×C43—41no—
595M16×C43—41no—
596C2×C8×C43—41no—
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43C2×D411yescharacteristic
608C4⋊C4×C43C2411yescharacteristic
609C4⋊C4×C43C2411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C22⋊C4×C43—21no—
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C42×C43—21no—
621C42×C43—21no—
622C42×C43C2411yescharacteristic
623C22⋊Dic43—21no—
624C22⋊Dic43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43C2×D411yescharacteristic
636C22⋊Dic43C2×D411yescharacteristic
637#10621885—22no—
638#10621885—41no—
639#10621885—41no—
640#10621883—22no—
641#10621883—41no—
642#10621883—41no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4C2×D411yescharacteristic
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655(C2×D43)⋊C4C2×D411yescharacteristic
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43—21no—
662C4⋊Dic43—21no—
663C4⋊Dic43—21no—
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43C2×D411yescharacteristic
667C4⋊Dic43C2411yescharacteristic
668C4⋊Dic43C2411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4C2×D411yescharacteristic
691Dic43⋊C4C2×D411yescharacteristic
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—22no—
711Dic172—41no—
712Dic172—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—22no—
716#10621872—22no—
717#10621872—41no—
718#10621872—41no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43—42no—
725C23×C43—42no—
726C23×C43—42no—
727C23×C43—42no—
728C23×C43—81no—
729C23×C43—81no—
730C23×C43C22×D411yescharacteristic
731C23×C43C22×D411yescharacteristic
732C22×D43—22no—
733C22×D43—22no—
734C22×D43—22no—
735C22×D43—41no—
736C22×D43—41no—
737C22×D43—41no—
738C22×D43C22×D411yescharacteristic
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741Q8×C43—21no—
742Q8×C43—21no—
743D4×C43—22no—
744D4×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—42no—
750D4×C43—42no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—42no—
754D4×C43—81no—
755D4×C43C2×#4112yes—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—42no—
766C2×C4×C43—42no—
767C2×C4×C43C22×D411yescharacteristic
768C2×C4×C43C22×D411yescharacteristic
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C2511yescharacteristic
772C22⋊D43—22no—
773C22⋊D43—24no—
774C22⋊D43—41no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—81no—
782C22⋊D43—81no—
783C2×Dic43—21no—
784C2×Dic43—22no—
785C2×Dic43—22no—
786C2×Dic43—24no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—42no—
795C2×Dic43—42no—
796C2×Dic43—42no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43—42no—
800C2×Dic43—42no—
801C2×Dic43—42no—
802C2×Dic43—42no—
803C2×Dic43—81no—
804C2×Dic43C22×D411yescharacteristic
805C2×Dic43C22×D411yescharacteristic
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809D172—41no—
810C4×D43—22no—
811C4×D43—22no—
812C4×D43—21no—
813C4×D43—21no—
814C4×D43—21no—
815C4×D43—21no—
816C4×D43—22no—
817C4×D43—22no—
818C4×D43—41no—
819C4×D43—41no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43C2×#4112yes—
827C4×D43H(5,𝔽2)12yes—
828Dic86—21no—
829Dic86—21no—
830Dic86—21no—
831Dic86—21no—
832Dic86—21no—
833Dic86—21no—
834Dic86—21no—
835Dic86—42no—
836Dic86—42no—
837Dic86—42no—
838Dic86C2×#4112yes—
839C8×C43—21no—
840C8×C43—21no—
841C8×C43—21no—
842C8×C43—21no—
843C43⋊C8—21no—
844C43⋊C8—21no—
845C43⋊C8—21no—
846C43⋊C8—21no—
847#61163—431nomaximal, Sylow
848C22×C43—21no—
849C22×C43—21no—
850C22×C43—21no—
851C22×C43—21no—
852C22×C43—22no—
853C22×C43—21no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—84no—
863C22×C43—84no—
864C22×C43#57512yes—
865C22×C43C23×D411yescharacteristic
866C2×D43—21no—
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—44no—
875C2×D43—82no—
876C2×D43#54612yes—
877C4×C43—21no—
878C4×C43—21no—
879C4×C43—21no—
880C4×C43—21no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43C22×#4111yescharacteristic
887C4×C43C2×H(5,𝔽2)11yescharacteristic
888Dic43—21no—
889Dic43—22no—
890Dic43—21no—
891Dic43—21no—
892Dic43—21no—
893Dic43—41no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43—41no—
900Dic43#54612yes—
901C2×#552—431no—
902D4×#41—431no—
903#3327—431no—
904#3327—431no—
905#3323—431no—
906#3323—431no—
907#3317—431no—
908#3317—431no—
909#3315—431no—
910#3315—431no—
911#3312—431no—
912#3312—431no—
913#3310—431no—
914#3310D4311yescharacteristic, complemented
915#3300—431no—
916#3300—431no—
917#3296—431no—
918#3296—431no—
919#3142—431no—
920#3093—431no—
921#3092—431no—
922#3080—431no—
923#3056—431no—
924#3056—431no—
925#3037—431no—
926#3007—431no—
927#3007—431no—
928C4×#137—431no—
929D4×M16—431no—
930#2896—431no—
931C2×#417—431no—
932C2×C43—22no—
933C2×C43—41no—
934C2×C43—42no—
935C2×C43—81no—
936C2×C43—81no—
937C2×C43C2×#54611yescharacteristic
938C2×C43C2×#57511yescharacteristic
939C2×C43#358611yescharacteristic
940D43—22no—
941D43—41no—
942D43—41no—
943C22×#41—431no—
944C22×#41—431no—
945C2×#137—431no—
946C2×#137—431no—
947C2×#137—431no—
948C22×M16—431no—
949C22×M16—431no—
950#552—431no—
951#552—431no—
952#552—431no—
953#552—431no—
954#552—431no—
955#552—431no—
956#552—431no—
957#552—861no—
958#552—861no—
959#552—861no—
960#552—861no—
961#552C2×D4311yescharacteristic
962#550—431no—
963D4×Q8—431no—
964#548—431no—
965#548—431no—
966#547—431no—
967#547—861no—
968#546—431no—
969#546—431no—
970#546—861no—
971#546—861no—
972D42—861no—
973D42C2×D4311yescharacteristic
974#532—431no—
975#532—861no—
976C2×#126—861no—
977C2×#125—431no—
978C2×#125—861no—
979#525—431no—
980#525—431no—
981#525—861no—
982#525—861no—
983C2×#123—861no—
984C2×C22⋊Q8—431no—
985C2×C22⋊Q8—431no—
986C4×#41—431no—
987C2×C4×Q8—431no—
988C2×C4×D4—431no—
989C2×C4×D4—861no—
990C2×#117—431no—
991C2×#117—861no—
992C22×C4⋊C4—431no—
993#491—431no—
994#491—431no—
995#490—431no—
996#490C2×D4311yescharacteristic, complemented
997#488—431no—
998#488—431no—
999#488—431no—
1000#488—431no—
1001#485—431no—
1002#485—431no—
1003#485—431no—
1004#485—431no—
1005#484—431no—
1006#484—431no—
1007#483—431no—
1008#483—431no—
1009#482—431no—
1010#482—431no—
1011#482—431no—
1012#482C2×D4311yescharacteristic, complemented
1013#481—431no—
1014#481—431no—
1015#480—431no—
1016#480C2×D4311yescharacteristic, complemented
1017#479—431no—
1018#479—431no—
1019#479—431no—
1020#479—431no—
1021#478—431no—
1022#478—431no—
1023#478—431no—
1024#478C2×D4311yescharacteristic, complemented
1025#470—431no—
1026#470—431no—
1027#470—431no—
1028#470—431no—
1029#468—431no—
1030#468—431no—
1031#468—431no—
1032#468C2×D4311yescharacteristic, complemented
1033#467—431no—
1034#467—431no—
1035#467—431no—
1036#467—431no—
1037#465—431no—
1038#465—431no—
1039#465—431no—
1040#465C2×D4311yescharacteristic, complemented
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464—431no—
1045#462—431no—
1046#462—431no—
1047#460—431no—
1048#460C2×D4311yescharacteristic, complemented
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#452—431no—
1053#452—431no—
1054#452—431no—
1055#452—431no—
1056#452—431no—
1057#451—431no—
1058#451—431no—
1059#451—431no—
1060#451—431no—
1061#450—431no—
1062#450—431no—
1063#450C2×D4311yescharacteristic, complemented
1064#450C2×D4311yescharacteristic, complemented
1065#441—431no—
1066#441—431no—
1067#440—431no—
1068#440C2×D4311yescharacteristic, complemented
1069C4×Q16—431no—
1070C4×Q16—431no—
1071C4×SD16—431no—
1072C4×SD16—431no—
1073#436—431no—
1074#436—431no—
1075#435—431no—
1076#435—431no—
1077#435—431no—
1078#435C2×D4311yescharacteristic
1079C8×D4—431no—
1080C8×D4—431no—
1081#428—431no—
1082#428—431no—
1083#428—431no—
1084#423—431no—
1085#419—431no—
1086#419—431no—
1087#419—431no—
1088#418—431no—
1089#418C2×D4311yescharacteristic, complemented
1090#417—431no—
1091#417—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#417—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106#416—431no—
1107C2×#103—431no—
1108C2×#103—431no—
1109C2×#102—431no—
1110C2×#102C2×D4311yescharacteristic, complemented
1111#407—431no—
1112#407—431no—
1113C4×M16—431no—
1114C43#6116311yescharacteristic, complemented, Sylow
1115C2×#41—431no—
1116C2×#41—431no—
1117C2×#41—431no—
1118C2×#41—431no—
1119C2×#41—431no—
1120C2×#41—431no—
1121C2×#41—431no—
1122C2×#41—861no—
1123C2×#41—861no—
1124C2×#41—861no—
1125C2×#41—861no—
1126C2×#41—864no—
1127C2×#41—864no—
1128C2×#41—1722no—
1129C2×#41—1722no—
1130C22×Q8—431no—
1131C22×Q8—431no—
1132C22×Q8—431no—
1133C22×D4—21no—
1134C22×D4—431no—
1135C22×D4—861no—
1136C22×D4—861no—
1137C22×D4C22×D4311yescharacteristic
1138C22×D4C22×D4311yescharacteristic
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—861no—
1142C23×C4—861no—
1143C23×C4—861no—
1144#137—864no—
1145#137—1722no—
1146#137—1722no—
1147C2×Q16—431no—
1148C2×Q16—431no—
1149C2×Q16—431no—
1150C2×Q16—431no—
1151C2×Q16—431no—
1152C2×Q16—431no—
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16C22×D4311yescharacteristic
1157C2×SD16C22×D4311yescharacteristic
1158C2×SD16C22×D4311yescharacteristic
1159C2×M16—431no—
1160C2×M16—431no—
1161C2×M16—431no—
1162C2×M16—431no—
1163C2×M16—431no—
1164C2×M16—431no—
1165C2×M16—431no—
1166C2×M16—1722no—
1167C2×M16—1722no—
1168C2×M16C22×D4311yescharacteristic
1169C22×C8—431no—
1170C22×C8—431no—
1171C22×C8—431no—
1172C22×C8C22×D4311yescharacteristic
1173C4⋊Q8—431no—
1174C4⋊Q8—861no—
1175#127—861no—
1176#127C22×D4311yescharacteristic
1177#126—21no—
1178#126—861no—
1179#126—861no—
1180#126—861no—
1181#126—861no—
1182#126—861no—
1183#126—861no—
1184#126—861no—
1185#125—21no—
1186#125—431no—
1187#125—431no—
1188#125—431no—
1189#125—861no—
1190#125—861no—
1191#125—861no—
1192#125—861no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#125C22×D4311yescharacteristic
1199#124—431no—
1200#124—431no—
1201#124—861no—
1202#124—861no—
1203#123—21no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217C22⋊Q8—431no—
1218C22⋊Q8—431no—
1219C22⋊Q8—431no—
1220C22⋊Q8—431no—
1221C22⋊Q8—431no—
1222C22⋊Q8—431no—
1223C22⋊Q8—431no—
1224C22⋊Q8—431no—
1225C22⋊Q8—431no—
1226C22⋊Q8—431no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8—861no—
1235C22⋊Q8C22×D4311yescharacteristic
1236C22⋊Q8C22×D4311yescharacteristic
1237#121—21no—
1238#121—431no—
1239#121—431no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257C4×Q8—431no—
1258C4×Q8—431no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—861no—
1263C4×Q8—861no—
1264C4×Q8C22×D4311yescharacteristic
1265C4×D4—431no—
1266C4×D4—431no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—861no—
1274C4×D4—861no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4C22×D4311yescharacteristic
1286C4×D4C22×D4311yescharacteristic
1287#117—21no—
1288#117—431no—
1289#117—431no—
1290#117—431no—
1291#117—431no—
1292#117—861no—
1293#117—861no—
1294#117—861no—
1295#117—861no—
1296#117—861no—
1297#117—861no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117C22×D4311yescharacteristic
1303C2×C4⋊C4—431no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—431no—
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4—861no—
1317C2×C4⋊C4—861no—
1318C2×C4⋊C4—861no—
1319C2×C4⋊C4C22×D4311yescharacteristic
1320C2×C22⋊C4—431no—
1321C2×C22⋊C4—431no—
1322C2×C22⋊C4—861no—
1323C2×C22⋊C4—861no—
1324C2×C22⋊C4—861no—
1325C2×C22⋊C4—861no—
1326C2×C22⋊C4—861no—
1327C2×C42—431no—
1328C2×C42—861no—
1329C2×C42—861no—
1330C2×C42—861no—
1331#107—431no—
1332#107—431no—
1333#107—431no—
1334#107—431no—
1335#107C22×D4311yescharacteristic
1336#107C22×D4311yescharacteristic
1337#106—431no—
1338#106—431no—
1339#106—431no—
1340#106—431no—
1341#106—431no—
1342#106C22×D4311yescharacteristic
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8—431no—
1346C4⋊C8C22×D4311yescharacteristic
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103C22×D4311yescharacteristic
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102C22×D4311yescharacteristic
1379#102C22×D4311yescharacteristic
1380#102C22×D4311yescharacteristic
1381#102C22×D4311yescharacteristic
1382#102C22×D4311yescharacteristic
1383#102C22×D4311yescharacteristic
1384#102C22×D4311yescharacteristic
1385#102C22×D4311yescharacteristic
1386#102C22×D4311yescharacteristic
1387C22⋊C8—431no—
1388C22⋊C8—431no—
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8—431no—
1393C22⋊C8C22×D4311yescharacteristic
1394C22⋊C8C22×D4311yescharacteristic
1395#97—431no—
1396#97C22×D4311yescharacteristic
1397C4×C8—431no—
1398C4×C8—431no—
1399C24—21no—
1400C24—21no—
1401C24—431no—
1402C24—431no—
1403#41—434no—
1404#41—862no—
1405#41—862no—
1406#41—862no—
1407#41—862no—
1408#41—862no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—1724no—
1414#41—1724no—
1415#41—1721no—
1416#41—1721no—
1417#41—1721no—
1418#41—1721no—
1419#41—1724no—
1420#41—1724no—
1421C2×Q8—431no—
1422C2×Q8—431no—
1423C2×Q8—431no—
1424C2×Q8—431no—
1425C2×Q8—861no—
1426C2×Q8—862no—
1427C2×Q8—862no—
1428C2×Q8—862no—
1429C2×Q8—862no—
1430C2×Q8—861no—
1431C2×Q8—861no—
1432C2×Q8—1721no—
1433C2×Q8—1721no—
1434C2×Q8C23×D4311yescharacteristic
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—44no—
1446C2×D4—431no—
1447C2×D4—431no—
1448C2×D4—431no—
1449C2×D4—861no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—861no—
1458C2×D4—1722no—
1459C2×D4—1724no—
1460C2×D4—1724no—
1461C2×D4D4×D4311yescharacteristic
1462C2×D4C23×D4311yescharacteristic
1463C2×D4C23×D4311yescharacteristic
1464C2×D4C23×D4311yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—431no—
1477C22×C4—431no—
1478C22×C4—862no—
1479C22×C4—862no—
1480C22×C4—862no—
1481C22×C4—862no—
1482C22×C4—861no—
1483C22×C4—861no—
1484C22×C4—861no—
1485C22×C4—861no—
1486C22×C4—861no—
1487C22×C4—861no—
1488C22×C4—861no—
1489C22×C4—861no—
1490C22×C4—861no—
1491C22×C4—861no—
1492C22×C4—861no—
1493C22×C4—861no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—1724no—
1500C22×C4—1724no—
1501C22×C4—1724no—
1502C22×C4C23×D4311yescharacteristic
1503C22×C4C23×D4311yescharacteristic
1504Q16—862no—
1505Q16—862no—
1506Q16—1721no—
1507Q16—1721no—
1508Q16—1721no—
1509Q16—1721no—
1510SD16—22no—
1511SD16—41no—
1512SD16—41no—
1513SD16—862no—
1514SD16—1721no—
1515SD16—1721no—
1516M16—41no—
1517M16—862no—
1518M16—862no—
1519M16—862no—
1520M16—862no—
1521M16—1721no—
1522M16—1721no—
1523M16—1721no—
1524C2×C8—41no—
1525C2×C8—431no—
1526C2×C8—431no—
1527C2×C8—431no—
1528C2×C8—431no—
1529C2×C8—1721no—
1530C2×C8—1721no—
1531C2×C8—1721no—
1532C2×C8C23×D4311yescharacteristic
1533C2×C8C23×D4311yescharacteristic
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—431no—
1543C4⋊C4—431no—
1544C4⋊C4—431no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4D4×D4311yescharacteristic
1579C4⋊C4C23×D4311yescharacteristic
1580C4⋊C4C23×D4311yescharacteristic
1581C4⋊C4C23×D4311yescharacteristic
1582C4⋊C4C23×D4311yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—431no—
1590C22⋊C4—431no—
1591C22⋊C4—431no—
1592C22⋊C4—431no—
1593C22⋊C4—431no—
1594C22⋊C4—431no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4D4×D4311yescharacteristic
1617C22⋊C4D4×D4311yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—431no—
1621C42—431no—
1622C42—431no—
1623C42—861no—
1624C42—861no—
1625C42—861no—
1626C42—861no—
1627C42—861no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42—861no—
1632C42C23×D4311yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—42no—
1637C23—42no—
1638C23—42no—
1639C23—42no—
1640C23—81no—
1641C23—81no—
1642C23—431no—
1643C23—431no—
1644C23—431no—
1645C23—862no—
1646C23—862no—
1647C23—862no—
1648C23—1721no—
1649C23—1721no—
1650C23—1721no—
1651C23C2×D4×D4311yescharacteristic
1652C23C2×D4×D4311yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—432no—
1656Q8—861no—
1657Q8—861no—
1658Q8—861no—
1659Q8—861no—
1660Q8—861no—
1661Q8—861no—
1662Q8—861no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8—1722no—
1666D4—22no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—21no—
1671D4—21no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—42no—
1677D4—81no—
1678D4—864no—
1679D4—862no—
1680D4—3441no—
1681D4—3441no—
1682D4—1721no—
1683D4—1721no—
1684D4—1722no—
1685D4—1722no—
1686D4—1722no—
1687D4—1722no—
1688D4—1722no—
1689D4—1722no—
1690D4#41×D4312yes—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—431no—
1703C2×C4—432no—
1704C2×C4—432no—
1705C2×C4—431no—
1706C2×C4—431no—
1707C2×C4—431no—
1708C2×C4—431no—
1709C2×C4—862no—
1710C2×C4—862no—
1711C2×C4—862no—
1712C2×C4—862no—
1713C2×C4—862no—
1714C2×C4—862no—
1715C2×C4—864no—
1716C2×C4—861no—
1717C2×C4—861no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—3441no—
1729C2×C4—1721no—
1730C2×C4—1721no—
1731C2×C4—1722no—
1732C2×C4—1722no—
1733C2×C4—1722no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4—1722no—
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C2×D4×D4311yescharacteristic
1750C2×C4C24×D4311yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C8—861no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—84no—
1774C22—84no—
1775C22—432no—
1776C22—861no—
1777C22—861no—
1778C22—861no—
1779C22—861no—
1780C22—861no—
1781C22—861no—
1782C22—861no—
1783C22—861no—
1784C22—3442no—
1785C22—1724no—
1786C22#1458369512yes—
1787C22C22×D4×D4311yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—432no—
1798C4—861no—
1799C4—861no—
1800C4—862no—
1801C4—861no—
1802C4—861no—
1803C4—1721no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C4—1721no—
1808C4—1721no—
1809C4—1721no—
1810C4C2×#41×D4311yescharacteristic
1811C4H(5,𝔽2)×D4311yescharacteristic
1812C2—22no—
1813C2—41no—
1814C2—42no—
1815C2—81no—
1816C2—81no—
1817C2—862no—
1818C2—1721no—
1819C2—1721no—
1820C2#546×D4311yescharacteristic
1821C2C2×#1458369511yescharacteristic
1822C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3310C2
socleC22×C43C23×D4
prime radicalD4×#10621900C2
hypercenter#3310D43
hypocenterC43#61163
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #552×D43C2semidirect
3. #19146869C2semidirect
4. #19146861C2semidirect
5. #19146815C2semidirect
6. #19146807C2semidirect
7. #19146728C2semidirect
8. #19146720C2semidirect
9. #19146696C2semidirect
10. #19146688C2semidirect
11. #19146648C2semidirect
12. #19146640C2semidirect
13. #19146616C2semidirect
14. #19146488C2semidirect
15. #19146480C2semidirect
16. #19146434C2semidirect
17. #19146426C2semidirect
18. #19144994C2semidirect
19. #19144523C2semidirect
20. #19144514C2semidirect
21. #19144412C2semidirect
22. #19144220C2semidirect
23. #19144218C2semidirect
24. #19144062C2semidirect
25. #19143850C2semidirect
26. #19143850C2semidirect
27. #19143417C2semidirect
28. #19143328C2semidirect
29. #19143109C2semidirect
30. C2×#14582897C2semidirect
31. C43×#3310C2semidirect
35. C2×#13063354C22semidirect
36. C2×#13063354C22semidirect
37. C22×#10621872C22semidirect
38. C2×M16×D43C22semidirect
39. #14583591C22semidirect
40. #14583590C22semidirect
42. #14583588C22semidirect
43. #14583587C22semidirect
46. #14583584C22semidirect
47. #14583583C22semidirect
65. #125×D43C22semidirect
71. C22⋊Q8×D43C22semidirect
72. C22⋊Q8×D43C22semidirect
74. C4×Q8×D43C22semidirect
78. #117×D43C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583269C22semidirect
81. #14583268C22semidirect
82. #14583263C22semidirect
83. #14583252C22semidirect
84. #14583252C22semidirect
85. #14583252C22semidirect
86. #14583252C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583241C22semidirect
90. #14583240C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583230C22semidirect
94. #14583229C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583216C22semidirect
99. #14583216C22semidirect
100. #14583210C22semidirect
101. #14583209C22semidirect
102. #14583207C22semidirect
103. #14583205C22semidirect
104. #14583203C22semidirect
105. #14583201C22semidirect
106. #14583199C22semidirect
107. #14583197C22semidirect
108. #14583158C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583144C22semidirect
113. #14583143C22semidirect
114. #14583142C22semidirect
115. #14583141C22semidirect
116. #14583140C22semidirect
117. #14583139C22semidirect
118. #14583138C22semidirect
119. #14583127C22semidirect
120. #14583126C22semidirect
121. #14583125C22semidirect
122. #14583120C22semidirect
123. #14583120C22semidirect
124. #14583119C22semidirect
125. #14583119C22semidirect
126. #14583110C22semidirect
127. #14583109C22semidirect
128. #14583096C22semidirect
129. #14583062C22semidirect
130. #14583062C22semidirect
131. #14583062C22semidirect
132. #14583062C22semidirect
133. #14583058C22semidirect
134. #14583058C22semidirect
135. #14583058C22semidirect
136. #14583058C22semidirect
137. #14583057C22semidirect
138. #14583057C22semidirect
139. #14583054C22semidirect
140. #14583054C22semidirect
141. #14583050C22semidirect
142. #14583050C22semidirect
143. #14583007C22semidirect
144. #14583004C22semidirect
145. #14582999C22semidirect
146. #14582993C22semidirect
147. #14582991C22semidirect
148. #14582990C22semidirect
149. SD16×Dic43C22semidirect
150. #14582975C22semidirect
151. #14582974C22semidirect
152. #14582972C22semidirect
154. #14582969C22semidirect
155. C8×C22⋊D43C22semidirect
156. (C22⋊D43)⋊C8C22semidirect
157. #14582940C22semidirect
158. #14582940C22semidirect
159. #14582938C22semidirect
160. #14582921C22semidirect
161. #14582909C22semidirect
162. #14582907C22semidirect
163. #14582906C22semidirect
164. #14582904C22semidirect
168. #14582897C22semidirect
169. #14582897C22semidirect
170. #14582897C22semidirect
171. #14582897C22semidirect
172. #14582897C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582897C22semidirect
176. #14582897C22semidirect
177. #14582897C22semidirect
178. #14582892C22semidirect
179. #14582892C22semidirect
180. #14582892C22semidirect
181. #14582892C22semidirect
182. C2×#13063250C22semidirect
183. C2×#13063248C22semidirect
184. C2×#13063246C22semidirect
185. #14582861C22semidirect
186. #14582861C22semidirect
187. #14582851C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#480C22semidirect
193. C43×#478C22semidirect
194. C43×#468C22semidirect
195. C43×#465C22semidirect
196. C43×#460C22semidirect
197. C43×#450C22semidirect
198. C43×#450C22semidirect
199. C43×#440C22semidirect
201. C43×#418C22semidirect
202. C2×#102×C43C22semidirect
914. #3310D43semidirect
996. #490C2×D43semidirect
1012. #482C2×D43semidirect
1016. #480C2×D43semidirect
1024. #478C2×D43semidirect
1032. #468C2×D43semidirect
1040. #465C2×D43semidirect
1048. #460C2×D43semidirect
1063. #450C2×D43semidirect
1064. #450C2×D43semidirect
1068. #440C2×D43semidirect
1089. #418C2×D43semidirect
1110. C2×#102C2×D43semidirect
1114. C43#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D432
D4×#106219002
#191468692
#191468612
#191468152
#191468072
#191467282
#191467202
#191466962
#191466882
#191466482
#191466402
#191466162
#191464882
#191464802
#191464342
#191464262
#191449942
#191445232
#191445142
#191444122
#191442202
#191442182
#191440622
#191438502
#191434172
#191433282
#191431092
C2×#145828972
C43×#33102
#6116343