Finite Group Databasebeta

← #25973706

Subgroups — #25973706

Order 11008.

2162 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#554×D43C211yesmaximal, characteristic, complemented
2#19148084C211yesmaximal, characteristic
3#19146929C211yesmaximal, characteristic, complemented
4#19146926C211yesmaximal, characteristic, complemented
5#19146909C211yesmaximal, characteristic, complemented
6#19146906C211yesmaximal, characteristic, complemented
7#19146711C211yesmaximal, characteristic, complemented
8#19146706C211yesmaximal, characteristic, complemented
9#19146703C211yesmaximal, characteristic, complemented
10#19146683C211yesmaximal, characteristic, complemented
11#19146678C211yesmaximal, characteristic, complemented
12#19146675C211yesmaximal, characteristic, complemented
13#19146670C211yesmaximal, characteristic, complemented
14#19146467C211yesmaximal, characteristic, complemented
15#19146464C211yesmaximal, characteristic, complemented
16#19146417C211yesmaximal, characteristic, complemented
17#19146414C211yesmaximal, characteristic, complemented
18#19144987C211yesmaximal, characteristic, complemented
19#19144519C211yesmaximal, characteristic, complemented
20#19144517C211yesmaximal, characteristic, complemented
21#19144405C211yesmaximal, characteristic, complemented
22#19144224C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144065C211yesmaximal, characteristic, complemented
25#19143854C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29C2×#14582899C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3316C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C22×#10621872C2211yescharacteristic, complemented
38C2×M16×D43C2211yescharacteristic, complemented
39#14583610C2211yescharacteristic, complemented
40#14583609C2211yescharacteristic, complemented
41#14583608—21no—
42#14583607C2211yescharacteristic
43#14583607C2211yescharacteristic, complemented
44#14583606C2211yescharacteristic, complemented
45#14583605—21no—
46#14583604C2211yescharacteristic
47#14583604C2211yescharacteristic, complemented
48#14583603—21no—
49#14583603—21no—
50#14583568C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583561C2211yescharacteristic
53#14583551—21no—
54#14583551C2211yescharacteristic
55#14583545—21no—
56#14583545C2211yescharacteristic
57#14583542—21no—
58#14583542C2211yescharacteristic
59#14583533—21no—
60#14583533C2211yescharacteristic
61#14583448—21no—
62#14583448C2211yescharacteristic
63C4⋊Q8×D43C2211yescharacteristic, complemented
64#125×D43—21no—
65#14583412—21no—
66#14583412C2211yescharacteristic
67#14583409—21no—
68#14583409C2211yescharacteristic
69C22⋊Q8×D43—21no—
70C22⋊Q8×D43—21no—
71C22⋊Q8×D43C2211yescharacteristic, complemented
72C22⋊Q8×D43C2211yescharacteristic, complemented
73C4×#10621902C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic, complemented
75C4×D4×D43—21no—
76C4×D4×D43—21no—
77C4×D4×D43C2211yescharacteristic
78C2×C4⋊C4×D43C2211yescharacteristic, complemented
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583261C2211yescharacteristic, complemented
81#14583259C2211yescharacteristic, complemented
82#14583258C2211yescharacteristic, complemented
83#14583248C2211yescharacteristic, complemented
84#14583248C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583235C2211yescharacteristic, complemented
88#14583234C2211yescharacteristic, complemented
89#14583233C2211yescharacteristic, complemented
90#14583233C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583227C2211yescharacteristic, complemented
94#14583219C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583215C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583212C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583184C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583147C2211yescharacteristic, complemented
112#14583145C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583142C2211yescharacteristic, complemented
115#14583140C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic, complemented
118#14583137C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583129C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583064C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583060C2211yescharacteristic, complemented
134#14583060C2211yescharacteristic, complemented
135#14583059C2211yescharacteristic, complemented
136#14583056C2211yescharacteristic, complemented
137#14583055C2211yescharacteristic, complemented
138#14583053C2211yescharacteristic, complemented
139#14583052C2211yescharacteristic, complemented
140#14583051C2211yescharacteristic, complemented
141#14583049C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146Q16×Dic43C2211yescharacteristic, complemented
147#14582991C2211yescharacteristic, complemented
148#14582986C2211yescharacteristic, complemented
149#14582984C2211yescharacteristic, complemented
150#14582975C2211yescharacteristic, complemented
151#14582974C2211yescharacteristic, complemented
152#14582972C2211yescharacteristic, complemented
153#14582971C2211yescharacteristic, complemented
154#14582969C2211yescharacteristic, complemented
155C8×C22⋊D43C2211yescharacteristic
156(C22⋊D43)⋊C8C2211yescharacteristic
157#14582938C2211yescharacteristic, complemented
158#14582938C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic, complemented
160#14582921C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582901C2211yescharacteristic, complemented
163#14582900C2211yescharacteristic, complemented
164#14582899C2211yescharacteristic
165#14582899C2211yescharacteristic
166#14582899C2211yescharacteristic
167#14582899C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic, complemented
170#14582899C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582899C2211yescharacteristic, complemented
173#14582899C2211yescharacteristic, complemented
174#14582898C2211yescharacteristic, complemented
175#14582897C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic, complemented
177#14582897C2211yescharacteristic, complemented
178C2×#13063249C2211yescharacteristic, complemented
179#103×D43C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181C2×#13063247C2211yescharacteristic, complemented
182C2×#13063245C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902—24no—
206C2×#10621902—42no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900C2311yescharacteristic
215#41×D43—24no—
216#41×D43—42no—
217C2×Q8×D43—21no—
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C22×D172—21no—
221C22×D172C2311yescharacteristic
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43D411yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229C22×C4×D43—21no—
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232#13063357—24no—
233#13063357—42no—
234#13063354—42no—
235C2×Dic172C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621873C2311yescharacteristic
240C2×#10621873C2311yescharacteristic
241C2×#10621883C2311yescharacteristic
242C2×#10621884C2311yescharacteristic
243C2×#10621884C2311yescharacteristic
244C2×#10621877C2311yescharacteristic
245C2×#10621872—42no—
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250C2×#10621872C2311yescharacteristic
251C2×#10621872C2311yescharacteristic
252M16×D43—42no—
253C22×C43⋊C8C2311yescharacteristic
254C2×C8×D43C2311yescharacteristic
255C2×C8×D43C2311yescharacteristic
256#13063325C2311yescharacteristic
257#13063324—21no—
258#13063324C2311yescharacteristic
259#13063324C2311yescharacteristic
260#13063323—21no—
261#13063323—21no—
262#13063323C2311yescharacteristic
263#13063321—21no—
264#13063321C2311yescharacteristic
265#13063317—21no—
266#13063316—21no—
267#13063316—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063313—21no—
273#13063313C2311yescharacteristic
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063305—21no—
281#13063305—21no—
282#13063305—21no—
283#13063305C2311yescharacteristic
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063300—21no—
311#13063300C2311yescharacteristic
312#13063299—21no—
313#13063299C2311yescharacteristic
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063296—21no—
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063293—21no—
326#13063293—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43D411yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287D411yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4D411yescharacteristic
360(C22⋊D43)⋊C4D411yescharacteristic
361#13063283—21no—
362#13063283C2311yescharacteristic
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×Dic43⋊C4—21no—
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—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
382C4⋊C4×D43C2311yescharacteristic
383C4⋊C4×D43C2311yescharacteristic
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43—21no—
388C22⋊C4×D43D411yescharacteristic
389C22⋊C4×D43D411yescharacteristic
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063259C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
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
444C2×#41×C43C2311yescharacteristic
445C22×Q8×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×Q16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452#125×C43—21no—
453#124×C43—21no—
454#124×C43C2311yescharacteristic
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43—21no—
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C23×D43C2×D411yescharacteristic
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—41no—
493C2×Q8×C43—21no—
494C2×Q8×C43—21no—
495C2×Q8×C43—22no—
496C2×Q8×C43—41no—
497C2×Q8×C43C2411yescharacteristic
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43C2×D411yescharacteristic
518C2×C22⋊D43C2×D411yescharacteristic
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43C2×D411yescharacteristic
523C22×Dic43C2×D411yescharacteristic
524#10621902—22no—
525#10621902—22no—
526#10621902—22no—
527#10621902—22no—
528#10621902—22no—
529#10621902—44no—
530#10621902—41no—
531#10621902—41no—
532#10621902—44no—
533#10621902#4114yes—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—41no—
538Q8×D43—82no—
539#10621900—22no—
540#10621900—22no—
541#10621900—44no—
542D4×D43—24no—
543D4×D43—22no—
544D4×D43—44no—
545D4×D43—41no—
546D4×D43—44no—
547#10621898—22no—
548#10621898—41no—
549#10621898—44no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172—21no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172—22no—
557C2×D172—44no—
558C2×D172—41no—
559C2×D172C2×D411yescharacteristic
560C2×D172C2411yescharacteristic
561C2×D172C2411yescharacteristic
562C2×C4×D43—21no—
563C2×C4×D43—22no—
564C2×C4×D43—22no—
565C2×C4×D43—22no—
566C2×C4×D43—22no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—44no—
583C2×C4×D43—44no—
584C2×C4×D43—82no—
585C2×C4×D43—82no—
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2×D411yescharacteristic
590C2×C4×D43C2×D411yescharacteristic
591C2×C4×D43C2×D411yescharacteristic
592C2×C4×D43C2411yescharacteristic
593C2×C4×D43C2411yescharacteristic
594C2×C4×D43C2411yescharacteristic
595C2×Dic86—21no—
596C2×Dic86—21no—
597C2×Dic86—21no—
598C2×Dic86—21no—
599C2×Dic86—21no—
600C2×Dic86C2411yescharacteristic
601C2×Dic86C2411yescharacteristic
602Q16×C43—22no—
603Q16×C43—41no—
604SD16×C43—41no—
605M16×C43—41no—
606C2×C8×C43—41no—
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C2×C8×C43C2411yescharacteristic
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43C2×D411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C4⋊C4×C43C2411yescharacteristic
622C4⋊C4×C43C2411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43C2×D411yescharacteristic
631C22⋊C4×C43C2×D411yescharacteristic
632C42×C43—21no—
633C42×C43—21no—
634C42×C43C2411yescharacteristic
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43C2×D411yescharacteristic
640C22⋊Dic43C2×D411yescharacteristic
641#10621885—22no—
642#10621885—41no—
643#10621885—41no—
644#10621884—22no—
645#10621884—41no—
646#10621883—41no—
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)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663(C2×D43)⋊C4C2×D411yescharacteristic
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43C2×D411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4C2×D411yescharacteristic
697Dic43⋊C4C2×D411yescharacteristic
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2×D411yescharacteristic
704C4×Dic43C2×D411yescharacteristic
705C4×Dic43C2411yescharacteristic
706#10621877—41no—
707C2×C43⋊C8—41no—
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710C2×C43⋊C8C2411yescharacteristic
711C2×C43⋊C8C2411yescharacteristic
712Dic172—41no—
713#10621873—22no—
714#10621873—41no—
715#10621872—22no—
716#10621872—22no—
717#10621872—22no—
718#10621872—22no—
719#10621872—41no—
720#10621872—41no—
721C8×D43—41no—
722C8×D43—41no—
723C23×C43—21no—
724C23×C43C22×D411yescharacteristic
725C23×C43C22×D411yescharacteristic
726C22×D43—22no—
727C22×D43—21no—
728C22×D43—22no—
729C22×D43—22no—
730C22×D43—22no—
731C22×D43—21no—
732C22×D43—41no—
733C22×D43—41no—
734C22×D43—42no—
735C22×D43—42no—
736C22×D43—42no—
737C22×D43—42no—
738C22×D43—81no—
739C22×D43—81no—
740C22×D43C22×D411yescharacteristic
741C22×D43C22×D411yescharacteristic
742C22×D43C22×D411yescharacteristic
743Q8×C43—21no—
744Q8×C43—21no—
745Q8×C43—21no—
746Q8×C43—21no—
747Q8×C43—21no—
748Q8×C43—42no—
749Q8×C43—81no—
750Q8×C43C2×#4112yes—
751D4×C43—22no—
752D4×C43—21no—
753D4×C43—21no—
754D4×C43—42no—
755D4×C43—42no—
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—21no—
766C2×C4×C43—21no—
767C2×C4×C43—42no—
768C2×C4×C43—42no—
769C2×C4×C43—81no—
770C2×C4×C43—81no—
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C22×D411yescharacteristic
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C2511yescharacteristic
776C22⋊D43—22no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—81no—
782C22⋊D43—81no—
783C22⋊D43—81no—
784C22⋊D43#13714yescomplemented
785C2×Dic43—22no—
786C2×Dic43—22no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—42no—
794C2×Dic43—81no—
795C2×Dic43—81no—
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801D172—24no—
802D172—22no—
803D172—21no—
804D172—21no—
805D172—21no—
806D172—42no—
807D172—42no—
808D172—42no—
809D172—42no—
810D172—42no—
811D172C2×#4112yes—
812C4×D43—22no—
813C4×D43—22no—
814C4×D43—21no—
815C4×D43—21no—
816C4×D43—21no—
817C4×D43—21no—
818C4×D43—22no—
819C4×D43—22no—
820C4×D43—24no—
821C4×D43—22no—
822C4×D43—41no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—42no—
829C4×D43—42no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43—81no—
836C4×D43—81no—
837C4×D43—81no—
838C4×D43C2×#4112yes—
839C4×D43H(5,𝔽2)12yes—
840Dic86—21no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—42no—
845Dic86—42no—
846Dic86—81no—
847Dic86—81no—
848Dic86—81no—
849C8×C43—21no—
850C8×C43—21no—
851C8×C43—21no—
852C8×C43—21no—
853C43⋊C8—21no—
854C43⋊C8—21no—
855C43⋊C8—21no—
856C43⋊C8—21no—
857#61162—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—21no—
861C22×C43—21no—
862C22×C43—21no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43C2×#13712yes—
867C22×C43C23×D411yescharacteristic
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—21no—
874C2×D43—22no—
875C2×D43—21no—
876C2×D43—44no—
877C2×D43—44no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—84no—
884C2×D43—84no—
885C2×D43#54612yes—
886C2×D43C2×#13712yes—
887C4×C43—21no—
888C4×C43—22no—
889C4×C43—21no—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43C22×#4111yescharacteristic
899C4×C43C2×H(5,𝔽2)11yescharacteristic
900Dic43—21no—
901Dic43—21no—
902Dic43—21no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43—41no—
908Dic43—41no—
909Dic43#54612yes—
910Dic43C2×#13712yes—
911C2×#554—431no—
912D4×#41—431no—
913#3333—431no—
914#3333—431no—
915#3331—431no—
916#3331—431no—
917#3316—431no—
918#3316—431no—
919#3316—431no—
920#3316D4311yescharacteristic, complemented
921#3314—431no—
922#3314—431no—
923#3314—431no—
924#3314—431no—
925#3299—431no—
926#3299—431no—
927#3295—431no—
928#3295—431no—
929#3141—431no—
930#3092—431no—
931#3092—431no—
932#3079—431no—
933#3056—431no—
934#3056—431no—
935#3037—431no—
936#3007—431no—
937#3007—431no—
938C4×#137—431no—
939D4×M16—431no—
940C2×#417—431no—
941C2×#417—431no—
942C2×C43—22no—
943C2×C43—41no—
944C2×C43—81no—
945C2×C43C2×#54611yescharacteristic
946C2×C43C22×#13711yescharacteristic
947C2×C43#358511yescharacteristic
948D43—22no—
949D43—22no—
950D43—41no—
951D43—42no—
952D43—81no—
953C22×#41—431no—
954C22×#41—431no—
955C2×#137—431no—
956C2×#137—431no—
957C2×#137—431no—
958C22×M16—431no—
959C22×M16—431no—
960#554—431no—
961#554—431no—
962#554—431no—
963#554—431no—
964#554—431no—
965#554—431no—
966#554—431no—
967#554—861no—
968#554—861no—
969#554—861no—
970#554—861no—
971#554C2×D4311yescharacteristic, complemented
972#550—431no—
973D4×Q8—431no—
974#548—431no—
975#548C2×D4311yescharacteristic
976#547—431no—
977#547—861no—
978#546—431no—
979#546—431no—
980#546—861no—
981#546—861no—
982D42—431no—
983D42—861no—
984#532—431no—
985#532—861no—
986C2×C4⋊Q8—431no—
987C2×#125—861no—
988#525—431no—
989#525—431no—
990#525—861no—
991#525—861no—
992C2×C22⋊Q8—431no—
993C2×C22⋊Q8—431no—
994C2×C22⋊Q8—861no—
995C2×C22⋊Q8—861no—
996C4×#41—431no—
997C2×C4×Q8—431no—
998C2×C4×D4—431no—
999C2×C4×D4—861no—
1000C2×C4×D4—861no—
1001C22×C4⋊C4—431no—
1002C22×C4⋊C4—431no—
1003#489—431no—
1004#489—431no—
1005#489—431no—
1006#489C2×D4311yescharacteristic, complemented
1007#487—431no—
1008#487—431no—
1009#486—431no—
1010#486—431no—
1011#484—431no—
1012#484—431no—
1013#484—431no—
1014#484—431no—
1015#483—431no—
1016#483—431no—
1017#483—431no—
1018#483C2×D4311yescharacteristic, complemented
1019#481—431no—
1020#481—431no—
1021#481—431no—
1022#481C2×D4311yescharacteristic, complemented
1023#480—431no—
1024#480—431no—
1025#480—431no—
1026#480—431no—
1027#477—431no—
1028#477—431no—
1029#476—431no—
1030#476—431no—
1031#475—431no—
1032#475C2×D4311yescharacteristic, complemented
1033#474—431no—
1034#474—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#470C2×D4311yescharacteristic, complemented
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#468—431no—
1043#467—431no—
1044#467—431no—
1045#467—431no—
1046#467—431no—
1047#465—431no—
1048#465—431no—
1049#465—431no—
1050#465C2×D4311yescharacteristic, complemented
1051#464—431no—
1052#464—431no—
1053#464—431no—
1054#464C2×D4311yescharacteristic, complemented
1055#462—431no—
1056#462—431no—
1057#460—431no—
1058#460—431no—
1059#452—431no—
1060#452—431no—
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452C2×D4311yescharacteristic, complemented
1067#451—431no—
1068#451—431no—
1069#451—431no—
1070#451C2×D4311yescharacteristic, complemented
1071#450—431no—
1072#450—431no—
1073#450—431no—
1074#450—431no—
1075#441—431no—
1076#441C2×D4311yescharacteristic, complemented
1077#440—431no—
1078#440—431no—
1079C4×Q16—431no—
1080C4×Q16—431no—
1081C4×SD16—431no—
1082C4×SD16—431no—
1083#436—431no—
1084#436—431no—
1085#435—431no—
1086#435—431no—
1087#435—431no—
1088#435C2×D4311yescharacteristic, complemented
1089C8×D4—431no—
1090C8×D4—431no—
1091#428—431no—
1092#428—431no—
1093#428—431no—
1094#423—431no—
1095#419—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#417—431no—
1107#417—431no—
1108#417—431no—
1109#417—431no—
1110#417—431no—
1111#417—431no—
1112#417C2×D4311yescharacteristic, complemented
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#103—431no—
1116C2×#103C2×D4311yescharacteristic, complemented
1117C2×#102—431no—
1118C2×#102—431no—
1119C2×#102—431no—
1120C2×#102—431no—
1121#407—431no—
1122#407—431no—
1123C4×M16—431no—
1124C43#6116211yescharacteristic, complemented, Sylow
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—861no—
1132C2×#41—861no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—864no—
1136C2×#41—864no—
1137C2×#41—1722no—
1138C2×#41—1722no—
1139C2×#41C22×D4311yescharacteristic
1140C22×Q8—431no—
1141C22×Q8—431no—
1142C22×Q8—861no—
1143C22×Q8C22×D4311yescharacteristic
1144C22×D4—431no—
1145C22×D4—431no—
1146C22×D4—431no—
1147C22×D4—861no—
1148C22×D4—861no—
1149C22×D4—861no—
1150C23×C4—431no—
1151C23×C4—431no—
1152C23×C4—861no—
1153C23×C4—861no—
1154C23×C4—861no—
1155C23×C4—861no—
1156#137—864no—
1157#137—1722no—
1158#137—1722no—
1159C2×Q16—431no—
1160C2×Q16—431no—
1161C2×Q16—431no—
1162C2×Q16—431no—
1163C2×Q16C22×D4311yescharacteristic
1164C2×Q16C22×D4311yescharacteristic
1165C2×SD16—431no—
1166C2×SD16—431no—
1167C2×SD16—431no—
1168C2×SD16—431no—
1169C2×SD16—431no—
1170C2×SD16C22×D4311yescharacteristic
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—431no—
1175C2×M16—431no—
1176C2×M16—431no—
1177C2×M16—431no—
1178C2×M16—1722no—
1179C2×M16—1722no—
1180C2×M16C22×D4311yescharacteristic
1181C22×C8—431no—
1182C22×C8—431no—
1183C22×C8—431no—
1184C22×C8C22×D4311yescharacteristic
1185C4⋊Q8—431no—
1186C4⋊Q8—431no—
1187C4⋊Q8—431no—
1188C4⋊Q8—431no—
1189C4⋊Q8—861no—
1190C4⋊Q8—861no—
1191C4⋊Q8—861no—
1192C4⋊Q8C22×D4311yescharacteristic
1193#127—431no—
1194#127—861no—
1195#125—21no—
1196#125—861no—
1197#125—861no—
1198#125—861no—
1199#125—861no—
1200#125—861no—
1201#125—861no—
1202#125—861no—
1203#124—21no—
1204#124—431no—
1205#124—861no—
1206#124C22×D4311yescharacteristic
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—431no—
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—861no—
1226C22⋊Q8—861no—
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⋊Q8—861no—
1236C22⋊Q8—861no—
1237C22⋊Q8—861no—
1238C22⋊Q8—861no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8C22×D4311yescharacteristic
1247C22⋊Q8C22×D4311yescharacteristic
1248C22⋊Q8C22×D4311yescharacteristic
1249#121—21no—
1250#121—431no—
1251#121—431no—
1252#121—431no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#121—861no—
1260#121—861no—
1261#121—861no—
1262#121C22×D4311yescharacteristic
1263#120—861no—
1264#120—861no—
1265#120—861no—
1266#120—861no—
1267#120—861no—
1268#120—861no—
1269C4×Q8—431no—
1270C4×Q8—431no—
1271C4×Q8—431no—
1272C4×Q8—431no—
1273C4×Q8—861no—
1274C4×Q8—861no—
1275C4×Q8C22×D4311yescharacteristic
1276C4×Q8C22×D4311yescharacteristic
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—431no—
1280C4×D4—431no—
1281C4×D4—431no—
1282C4×D4—431no—
1283C4×D4—431no—
1284C4×D4—431no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4C22×D4311yescharacteristic
1307#117—431no—
1308#117—861no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—431no—
1312C2×C4⋊C4—431no—
1313C2×C4⋊C4—431no—
1314C2×C4⋊C4—431no—
1315C2×C4⋊C4—431no—
1316C2×C4⋊C4—431no—
1317C2×C4⋊C4—431no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—861no—
1320C2×C4⋊C4—861no—
1321C2×C4⋊C4—861no—
1322C2×C4⋊C4—861no—
1323C2×C4⋊C4—861no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4C22×D4311yescharacteristic
1331C2×C4⋊C4C22×D4311yescharacteristic
1332C2×C22⋊C4—431no—
1333C2×C22⋊C4—431no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C42—431no—
1339C2×C42—861no—
1340C2×C42—861no—
1341#107—431no—
1342#107—431no—
1343#107—431no—
1344#107—431no—
1345#107—431no—
1346#107—431no—
1347#106—431no—
1348#106—431no—
1349#106—431no—
1350#106C22×D4311yescharacteristic
1351#106C22×D4311yescharacteristic
1352#106C22×D4311yescharacteristic
1353C4⋊C8—431no—
1354C4⋊C8—431no—
1355C4⋊C8—431no—
1356C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#103C22×D4311yescharacteristic
1376#103C22×D4311yescharacteristic
1377#103C22×D4311yescharacteristic
1378#103C22×D4311yescharacteristic
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102C22×D4311yescharacteristic
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8C22×D4311yescharacteristic
1404C22⋊C8C22×D4311yescharacteristic
1405#97—431no—
1406#97C22×D4311yescharacteristic
1407C4×C8—431no—
1408C4×C8—431no—
1409C24—431no—
1410C24—431no—
1411C24—861no—
1412C24—861no—
1413#41—22no—
1414#41—41no—
1415#41—434no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—1721no—
1425#41—1724no—
1426#41—1724no—
1427#41—1724no—
1428#41—1721no—
1429#41—1721no—
1430#41—1724no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—431no—
1436C2×Q8—431no—
1437C2×Q8—861no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—861no—
1441C2×Q8—862no—
1442C2×Q8—862no—
1443C2×Q8—861no—
1444C2×Q8—862no—
1445C2×Q8—3442no—
1446C2×Q8—1721no—
1447C2×Q8C23×D4311yescharacteristic
1448C2×Q8C23×D4311yescharacteristic
1449C2×Q8C23×D4311yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—862no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—861no—
1463C2×D4—861no—
1464C2×D4—861no—
1465C2×D4—861no—
1466C2×D4—864no—
1467C2×D4—862no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—1721no—
1474C2×D4—1724no—
1475C2×D4—1721no—
1476C2×D4—1724no—
1477C2×D4—1724no—
1478C2×D4D4×D4311yescharacteristic
1479C2×D4C23×D4311yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—431no—
1485C22×C4—431no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—431no—
1494C22×C4—431no—
1495C22×C4—861no—
1496C22×C4—862no—
1497C22×C4—862no—
1498C22×C4—862no—
1499C22×C4—862no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—3442no—
1519C22×C4—3442no—
1520C22×C4—1724no—
1521C22×C4—1724no—
1522C22×C4C23×D4311yescharacteristic
1523C22×C4C23×D4311yescharacteristic
1524Q16—22no—
1525Q16—41no—
1526Q16—862no—
1527Q16—1721no—
1528Q16—1721no—
1529Q16—1721no—
1530SD16—41no—
1531SD16—862no—
1532SD16—862no—
1533SD16—1721no—
1534SD16—1721no—
1535SD16—1721no—
1536M16—41no—
1537M16—862no—
1538M16—862no—
1539M16—862no—
1540M16—862no—
1541M16—1721no—
1542M16—1721no—
1543M16—1721no—
1544C2×C8—41no—
1545C2×C8—431no—
1546C2×C8—431no—
1547C2×C8—431no—
1548C2×C8—431no—
1549C2×C8—1721no—
1550C2×C8—1721no—
1551C2×C8—1721no—
1552C2×C8C23×D4311yescharacteristic
1553C2×C8C23×D4311yescharacteristic
1554C2×C8C23×D4311yescharacteristic
1555C2×C8C23×D4311yescharacteristic
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—431no—
1565C4⋊C4—431no—
1566C4⋊C4—431no—
1567C4⋊C4—431no—
1568C4⋊C4—431no—
1569C4⋊C4—431no—
1570C4⋊C4—431no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4D4×D4311yescharacteristic
1599C4⋊C4C23×D4311yescharacteristic
1600C4⋊C4C23×D4311yescharacteristic
1601C4⋊C4C23×D4311yescharacteristic
1602C4⋊C4C23×D4311yescharacteristic
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—431no—
1610C22⋊C4—431no—
1611C22⋊C4—431no—
1612C22⋊C4—431no—
1613C22⋊C4—431no—
1614C22⋊C4—431no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4D4×D4311yescharacteristic
1633C22⋊C4D4×D4311yescharacteristic
1634C42—21no—
1635C42—21no—
1636C42—431no—
1637C42—431no—
1638C42—431no—
1639C42—861no—
1640C42—861no—
1641C42—861no—
1642C42—861no—
1643C42—861no—
1644C42C23×D4311yescharacteristic
1645C23—21no—
1646C23—431no—
1647C23—431no—
1648C23—431no—
1649C23—862no—
1650C23—862no—
1651C23—862no—
1652C23—862no—
1653C23—861no—
1654C23—861no—
1655C23—3441no—
1656C23—3441no—
1657C23—1721no—
1658C23—1721no—
1659C23—1722no—
1660C23—1722no—
1661C23—1722no—
1662C23—1722no—
1663C23C2×D4×D4311yescharacteristic
1664C23C2×D4×D4311yescharacteristic
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—42no—
1671Q8—81no—
1672Q8—861no—
1673Q8—861no—
1674Q8—861no—
1675Q8—861no—
1676Q8—3441no—
1677Q8—3441no—
1678Q8—3441no—
1679Q8—1722no—
1680Q8—1722no—
1681Q8#41×D4312yes—
1682D4—22no—
1683D4—21no—
1684D4—21no—
1685D4—42no—
1686D4—42no—
1687D4—434no—
1688D4—432no—
1689D4—862no—
1690D4—864no—
1691D4—862no—
1692D4—861no—
1693D4—861no—
1694D4—861no—
1695D4—3441no—
1696D4—3441no—
1697D4—3441no—
1698D4—1722no—
1699D4—1722no—
1700D4—1722no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4—1722no—
1706D4—1722no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—431no—
1723C2×C4—431no—
1724C2×C4—432no—
1725C2×C4—432no—
1726C2×C4—431no—
1727C2×C4—431no—
1728C2×C4—431no—
1729C2×C4—862no—
1730C2×C4—862no—
1731C2×C4—862no—
1732C2×C4—864no—
1733C2×C4—862no—
1734C2×C4—862no—
1735C2×C4—862no—
1736C2×C4—862no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—3441no—
1750C2×C4—3441no—
1751C2×C4—3441no—
1752C2×C4—3441no—
1753C2×C4—3441no—
1754C2×C4—1721no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4—1722no—
1760C2×C4—1722no—
1761C2×C4—1722no—
1762C2×C4—1722no—
1763C2×C4—1722no—
1764C2×C4—1722no—
1765C2×C4—1722no—
1766C2×C4C2×D4×D4311yescharacteristic
1767C2×C4C2×D4×D4311yescharacteristic
1768C2×C4C2×D4×D4311yescharacteristic
1769C2×C4C2×D4×D4311yescharacteristic
1770C2×C4C24×D4311yescharacteristic
1771C8—21no—
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—861no—
1776C8—861no—
1777C8—861no—
1778C8—861no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—432no—
1788C22—432no—
1789C22—861no—
1790C22—861no—
1791C22—861no—
1792C22—861no—
1793C22—861no—
1794C22—862no—
1795C22—861no—
1796C22—861no—
1797C22—3444no—
1798C22—3444no—
1799C22—1724no—
1800C22—1724no—
1801C22—1721no—
1802C22—1721no—
1803C22—1721no—
1804C22—1721no—
1805C22—1721no—
1806C22#137×D4312yes—
1807C22C22×D4×D4311yescharacteristic
1808C4—21no—
1809C4—21no—
1810C4—22no—
1811C4—21no—
1812C4—21no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—432no—
1820C4—432no—
1821C4—861no—
1822C4—861no—
1823C4—861no—
1824C4—1721no—
1825C4—1721no—
1826C4—1721no—
1827C4—1721no—
1828C4—1721no—
1829C4—1721no—
1830C4C2×#41×D4311yescharacteristic
1831C4H(5,𝔽2)×D4311yescharacteristic
1832C2—22no—
1833C2—41no—
1834C2—81no—
1835C2—862no—
1836C2—862no—
1837C2—3441no—
1838C2—1721no—
1839C2—1722no—
1840C2#546×D4311yescharacteristic
1841C2C2×#137×D4311yescharacteristic
1842C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3316C2
socleC22×C43C23×D4
prime radical#19148084C2
hypercenter#3316D43
hypocenterC43#61162
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #554×D43C2semidirect
3. #19146929C2semidirect
4. #19146926C2semidirect
5. #19146909C2semidirect
6. #19146906C2semidirect
7. #19146711C2semidirect
8. #19146706C2semidirect
9. #19146703C2semidirect
10. #19146683C2semidirect
11. #19146678C2semidirect
12. #19146675C2semidirect
13. #19146670C2semidirect
14. #19146467C2semidirect
15. #19146464C2semidirect
16. #19146417C2semidirect
17. #19146414C2semidirect
18. #19144987C2semidirect
19. #19144519C2semidirect
20. #19144517C2semidirect
21. #19144405C2semidirect
22. #19144224C2semidirect
23. #19144218C2semidirect
24. #19144065C2semidirect
25. #19143854C2semidirect
26. #19143852C2semidirect
27. #19143411C2semidirect
28. #19143328C2semidirect
29. C2×#14582899C2semidirect
30. #417×D43C2semidirect
31. C43×#3316C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
37. C22×#10621872C22semidirect
38. C2×M16×D43C22semidirect
39. #14583610C22semidirect
40. #14583609C22semidirect
43. #14583607C22semidirect
44. #14583606C22semidirect
47. #14583604C22semidirect
63. C4⋊Q8×D43C22semidirect
71. C22⋊Q8×D43C22semidirect
72. C22⋊Q8×D43C22semidirect
74. C4×Q8×D43C22semidirect
78. C2×C4⋊C4×D43C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583261C22semidirect
81. #14583259C22semidirect
82. #14583258C22semidirect
83. #14583248C22semidirect
84. #14583248C22semidirect
85. #14583244C22semidirect
86. #14583244C22semidirect
87. #14583235C22semidirect
88. #14583234C22semidirect
89. #14583233C22semidirect
90. #14583233C22semidirect
91. #14583231C22semidirect
92. #14583231C22semidirect
93. #14583227C22semidirect
94. #14583219C22semidirect
95. #14583219C22semidirect
96. #14583215C22semidirect
97. #14583213C22semidirect
98. #14583212C22semidirect
99. #14583211C22semidirect
100. #14583211C22semidirect
101. #14583192C22semidirect
102. #14583192C22semidirect
103. #14583188C22semidirect
104. #14583188C22semidirect
105. #14583184C22semidirect
106. #14583180C22semidirect
107. #14583176C22semidirect
108. #14583158C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583147C22semidirect
112. #14583145C22semidirect
113. #14583144C22semidirect
114. #14583142C22semidirect
115. #14583140C22semidirect
116. #14583139C22semidirect
117. #14583138C22semidirect
118. #14583137C22semidirect
119. #14583131C22semidirect
120. #14583129C22semidirect
121. #14583126C22semidirect
122. #14583122C22semidirect
123. #14583121C22semidirect
124. #14583118C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583098C22semidirect
128. #14583097C22semidirect
129. #14583064C22semidirect
130. #14583064C22semidirect
131. #14583063C22semidirect
132. #14583061C22semidirect
133. #14583060C22semidirect
134. #14583060C22semidirect
135. #14583059C22semidirect
136. #14583056C22semidirect
137. #14583055C22semidirect
138. #14583053C22semidirect
139. #14583052C22semidirect
140. #14583051C22semidirect
141. #14583049C22semidirect
142. #14583048C22semidirect
143. #14583004C22semidirect
144. #14583001C22semidirect
145. #14582997C22semidirect
146. Q16×Dic43C22semidirect
147. #14582991C22semidirect
148. #14582986C22semidirect
149. #14582984C22semidirect
150. #14582975C22semidirect
151. #14582974C22semidirect
152. #14582972C22semidirect
153. #14582971C22semidirect
154. #14582969C22semidirect
157. #14582938C22semidirect
158. #14582938C22semidirect
159. #14582938C22semidirect
160. #14582921C22semidirect
161. #14582906C22semidirect
162. #14582901C22semidirect
163. #14582900C22semidirect
167. #14582899C22semidirect
168. #14582899C22semidirect
169. #14582899C22semidirect
170. #14582899C22semidirect
171. #14582899C22semidirect
172. #14582899C22semidirect
173. #14582899C22semidirect
174. #14582898C22semidirect
175. #14582897C22semidirect
176. #14582897C22semidirect
177. #14582897C22semidirect
178. C2×#13063249C22semidirect
179. #103×D43C22semidirect
180. #103×D43C22semidirect
181. C2×#13063247C22semidirect
182. C2×#13063245C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582861C22semidirect
186. #14582861C22semidirect
187. #14582851C22semidirect
188. C43×#554C22semidirect
190. C43×#489C22semidirect
191. C43×#483C22semidirect
192. C43×#481C22semidirect
193. C43×#475C22semidirect
194. C43×#470C22semidirect
195. C43×#465C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C43×#441C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#103×C43C22semidirect
784. C22⋊D43#137semidirect
920. #3316D43semidirect
971. #554C2×D43semidirect
1006. #489C2×D43semidirect
1018. #483C2×D43semidirect
1022. #481C2×D43semidirect
1032. #475C2×D43semidirect
1038. #470C2×D43semidirect
1050. #465C2×D43semidirect
1054. #464C2×D43semidirect
1066. #452C2×D43semidirect
1070. #451C2×D43semidirect
1076. #441C2×D43semidirect
1088. #435C2×D43semidirect
1112. #417C2×D43semidirect
1116. C2×#103C2×D43semidirect
1124. C43#61162semidirect

Maximal subgroups

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

subgroupindex
#554×D432
#191480842
#191469292
#191469262
#191469092
#191469062
#191467112
#191467062
#191467032
#191466832
#191466782
#191466752
#191466702
#191464672
#191464642
#191464172
#191464142
#191449872
#191445192
#191445172
#191444052
#191442242
#191442182
#191440652
#191438542
#191438522
#191434112
#191433282
C2×#145828992
#417×D432
C43×#33162
#6116243