Finite Group Databasebeta

← #25982062

Subgroups — #25982062

Order 11008.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148431C211yesmaximal, characteristic, complemented
2#19148079C211yesmaximal, characteristic, complemented
3#19146870C211yesmaximal, characteristic, complemented
4#19146816C211yesmaximal, characteristic, complemented
5#19146772C211yesmaximal, characteristic, complemented
6#19146740C211yesmaximal, characteristic, complemented
7#19146727C211yesmaximal, characteristic, complemented
8#19146695C211yesmaximal, characteristic, complemented
9#19146499C211yesmaximal, characteristic, complemented
10#19146445C211yesmaximal, characteristic, complemented
11#19146332C211yesmaximal, characteristic, complemented
12#19146225C211yesmaximal, characteristic, complemented
13#19146201C211yesmaximal, characteristic, complemented
14#19146169C211yesmaximal, characteristic, complemented
15#19146139C211yesmaximal, characteristic, complemented
16#19146120C211yesmaximal, characteristic, complemented
17#19146090C211yesmaximal, characteristic, complemented
18#19145637C211yesmaximal, characteristic, complemented
19#19145566C211yesmaximal, characteristic, complemented
20#19145434C211yesmaximal, characteristic, complemented
21#19145428C211yesmaximal, characteristic, complemented
22#19145384C211yesmaximal, characteristic, complemented
23#19145361C211yesmaximal, characteristic, complemented
24#19144701C211yesmaximal, characteristic, complemented
25#19144617C211yesmaximal, characteristic, complemented
26#19143842C211yesmaximal, characteristic, complemented
27#19143838C211yesmaximal, characteristic, complemented
28#19143809C211yesmaximal, characteristic, complemented
29C2×#14583058C211yesmaximal, characteristic, complemented
30#19143628C211yesmaximal, characteristic, complemented
31C43×#3282C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic, complemented
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063349C2211yescharacteristic, complemented
38C2×#13063345C2211yescharacteristic, complemented
39C22×#10621885C2211yescharacteristic, complemented
40#14583601C2211yescharacteristic
41#14583598—21no—
42#14583595C2211yescharacteristic, complemented
43#14583592—21no—
44#14583590C2211yescharacteristic, complemented
45#14583583C2211yescharacteristic, complemented
46#14583579—21no—
47#14583576—21no—
48#14583567C2211yescharacteristic
49#14583562C2211yescharacteristic, complemented
50#14583560C2211yescharacteristic
51#14583558C2211yescharacteristic, complemented
52#14583557C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583547—21no—
55#14583544C2211yescharacteristic
56#14583542C2211yescharacteristic, complemented
57#14583539—21no—
58#14583538—21no—
59#14583537C2211yescharacteristic, complemented
60D4×C22⋊D43C2211yescharacteristic, complemented
61#14583531—21no—
62#14583495—21no—
63#14583483—21no—
64#14583457—21no—
65#14583448C2211yescharacteristic, complemented
66#14583444—21no—
67#14583436C2211yescharacteristic, complemented
68#14583428C2211yescharacteristic, complemented
69#14583412C2211yescharacteristic
70#14583412C2211yescharacteristic, complemented
71#14583409C2211yescharacteristic, complemented
72#14583407—21no—
73#14583406C2211yescharacteristic, complemented
74#14583405—21no—
75C2×#13063301C2211yescharacteristic, complemented
76#121×D43C2211yescharacteristic, complemented
77#14583371—21no—
78C4×#10621900C2211yescharacteristic, complemented
79C2×(C22⋊D43)⋊C4—21no—
80C4×D4×D43C2211yescharacteristic
81#14583292C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583254C2211yescharacteristic, complemented
87#14583253C2211yescharacteristic, complemented
88#14583243C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583156C2211yescharacteristic, complemented
105#14583154C2211yescharacteristic, complemented
106#14583154C2211yescharacteristic, complemented
107#14583149C2211yescharacteristic, complemented
108#14583148C2211yescharacteristic, complemented
109#14583148C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583142C2211yescharacteristic, complemented
112#14583138C2211yescharacteristic, complemented
113#14583135C2211yescharacteristic, complemented
114#14583133C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583130C2211yescharacteristic, complemented
117#14583128C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic, complemented
119#14583121C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583116C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic, complemented
124#14583107C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic, complemented
126#14583097C2211yescharacteristic, complemented
127#14583092C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic, complemented
129#14583061C2211yescharacteristic, complemented
130#14583060C2211yescharacteristic, complemented
131#14583060C2211yescharacteristic, complemented
132#14583059C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic, complemented
134#14583058C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583058C2211yescharacteristic, complemented
137#14583058C2211yescharacteristic, complemented
138#14583058C2211yescharacteristic, complemented
139#14583058C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic, complemented
141#14583053C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583048C2211yescharacteristic, complemented
144#14583047C2211yescharacteristic, complemented
145#14583046C2211yescharacteristic, complemented
146#14583045C2211yescharacteristic
147#14583045C2211yescharacteristic, complemented
148#14583044C2211yescharacteristic, complemented
149#14583043C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583041C2211yescharacteristic
152#14583041C2211yescharacteristic, complemented
153#14583040C2211yescharacteristic, complemented
154#14583038C2211yescharacteristic, complemented
155#14583037C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic, complemented
157#14583034C2211yescharacteristic, complemented
158#14583033C2211yescharacteristic, complemented
159#14583031C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic, complemented
161#14583003C2211yescharacteristic, complemented
162#14583000C2211yescharacteristic, complemented
163#14582996C2211yescharacteristic, complemented
164C4×#10621885C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582970C2211yescharacteristic, complemented
170#14582970C2211yescharacteristic, complemented
171#14582967C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173D4×C43⋊C8C2211yescharacteristic, complemented
174#14582955C2211yescharacteristic, complemented
175#14582950C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582897C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic, complemented
181#14582895C2211yescharacteristic, complemented
182C2×#13063250C2211yescharacteristic, complemented
183C2×#13063246C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
187C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
188C2×#135×C43C2211yescharacteristic, complemented
189C22×SD16×C43C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic, complemented
192C43×#495C2211yescharacteristic, complemented
193C43×#465C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C43×#449C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C8×D4×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900—42no—
211C2×#10621900—42no—
212C2×#10621900C2311yescharacteristic
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216#41×D43—42no—
217#41×D43—42no—
218C22×Dic86C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43D411yescharacteristic
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C23×Dic43—21no—
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231#13063357—42no—
232#13063352—42no—
233#13063349—42no—
234#13063349—42no—
235#13063345—42no—
236C2×#10621885—42no—
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621873C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621884C2311yescharacteristic
246C2×#10621884C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×D344C2311yescharacteristic
249C2×#10621882C2311yescharacteristic
250C2×#10621882C2311yescharacteristic
251C2×#10621882C2311yescharacteristic
252C2×#10621872C2311yescharacteristic
253C2×#10621872C2311yescharacteristic
254C2×#10621872C2311yescharacteristic
255C2×#10621872C2311yescharacteristic
256C22×C43⋊C8C2311yescharacteristic
257C22×C43⋊C8C2311yescharacteristic
258#13063324—21no—
259#13063323C2311yescharacteristic
260#13063321—21no—
261#13063321C2311yescharacteristic
262#13063320—21no—
263#13063320—21no—
264#13063319—21no—
265#13063318—21no—
266#13063318—21no—
267#13063318—21no—
268#13063317C2311yescharacteristic
269#13063316C2311yescharacteristic
270#13063315—21no—
271#13063315—21no—
272#13063314—21no—
273#13063314C2311yescharacteristic
274#13063313C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063309—21no—
282#13063309—21no—
283#13063308—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063299C2311yescharacteristic
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063295—21no—
332#13063295—21no—
333#13063295—21no—
334#13063295—21no—
335#13063294—21no—
336#13063293—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340Q8×Dic43C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342#13063290C2311yescharacteristic
343C4×D172—21no—
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43D411yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287D411yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4D411yescharacteristic
373(C22⋊D43)⋊C4D411yescharacteristic
374#13063284C2311yescharacteristic
375#13063283—21no—
376#13063283C2311yescharacteristic
377#13063283C2311yescharacteristic
378#13063282—21no—
379#13063282—21no—
380#13063281—21no—
381#13063281—21no—
382C2×C4⋊Dic43C2311yescharacteristic
383C2×Dic43⋊C4—21no—
384C2×Dic43⋊C4—21no—
385C4⋊C4×D43D411yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C2×(C2×D43)⋊C4—21no—
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43D411yescharacteristic
393C22⋊C4×D43D411yescharacteristic
394C2×C4×Dic43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063235C2311yescharacteristic
443#13063235C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×#41×C43C2311yescharacteristic
447C22×Q8×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449#135×C43—42no—
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43—42no—
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×D8×C43C2311yescharacteristic
459C2×D8×C43C2311yescharacteristic
460C22×C8×C43C2311yescharacteristic
461C22×C8×C43C2311yescharacteristic
462#124×C43—21no—
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468C22⋊Q8×C43C2311yescharacteristic
469#121×C43—21no—
470#121×C43—21no—
471#121×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#120×C43—21no—
474C4×Q8×C43C2311yescharacteristic
475C4×D4×C43—21no—
476C4×D4×C43C2311yescharacteristic
477C4×D4×C43C2311yescharacteristic
478C2×C22⋊C4×C43—21no—
479#106×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43C2×D411yescharacteristic
494C23×D43C2×D411yescharacteristic
495#41×C43—22no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499C2×Q8×C43—21no—
500C2×Q8×C43—41no—
501C2×Q8×C43—41no—
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×Q8×C43C2411yescharacteristic
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—22no—
511C2×D4×C43—41no—
512C2×D4×C43C2×D411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C2×D4×C43C2411yescharacteristic
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43—21no—
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—44no—
538C2×C22⋊D43—44no—
539C2×C22⋊D43C2×D411yescharacteristic
540C2×C22⋊D43C2×D411yescharacteristic
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43—21no—
548C22×Dic43—21no—
549C22×Dic43—44no—
550C22×Dic43C2×D411yescharacteristic
551C22×Dic43C2×D411yescharacteristic
552#10621902—41no—
553#10621902—41no—
554#10621902—41no—
555#10621902—41no—
556Q8×D43—22no—
557Q8×D43—41no—
558#10621900—22no—
559#10621900—22no—
560#10621900—22no—
561#10621900—22no—
562#10621900—41no—
563#10621900—41no—
564#10621900—41no—
565#10621900—41no—
566#10621900—44no—
567#10621900—44no—
568#10621900—44no—
569D4×D43—22no—
570D4×D43—42no—
571D4×D43—44no—
572D4×D43—41no—
573D4×D43—44no—
574D4×D43—41no—
575D4×D43—41no—
576#10621898—22no—
577#10621898—41no—
578#10621898—44no—
579C2×D172—21no—
580C2×D172—21no—
581C2×D172—21no—
582C2×D172—21no—
583C2×D172C2×D411yescharacteristic
584C2×D172C2411yescharacteristic
585C2×D172C2411yescharacteristic
586C2×C4×D43—21no—
587C2×C4×D43—21no—
588C2×C4×D43—21no—
589C2×C4×D43—21no—
590C2×C4×D43—21no—
591C2×C4×D43—21no—
592C2×C4×D43—41no—
593C2×C4×D43—41no—
594C2×C4×D43—41no—
595C2×C4×D43—41no—
596C2×C4×D43—44no—
597C2×C4×D43C2×D411yescharacteristic
598C2×C4×D43C2×D411yescharacteristic
599C2×C4×D43C2×D411yescharacteristic
600C2×C4×D43C2×D411yescharacteristic
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2×D411yescharacteristic
603C2×C4×D43C2411yescharacteristic
604C2×C4×D43C2411yescharacteristic
605C2×C4×D43C2411yescharacteristic
606C2×Dic86—22no—
607C2×Dic86—21no—
608C2×Dic86—21no—
609C2×Dic86—41no—
610C2×Dic86C2411yescharacteristic
611C2×Dic86C2411yescharacteristic
612Q16×C43—41no—
613Q16×C43—41no—
614SD16×C43—22no—
615SD16×C43—22no—
616SD16×C43—41no—
617SD16×C43—41no—
618SD16×C43—41no—
619D8×C43—22no—
620D8×C43—41no—
621C2×C8×C43—41no—
622C2×C8×C43—41no—
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C2×C8×C43C2411yescharacteristic
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43—21no—
630C4⋊C4×C43C2×D411yescharacteristic
631C4⋊C4×C43C2411yescharacteristic
632C4⋊C4×C43C2411yescharacteristic
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43—21no—
640C22⋊C4×C43—21no—
641C22⋊C4×C43—21no—
642C22⋊C4×C43C2×D411yescharacteristic
643C22⋊C4×C43C2×D411yescharacteristic
644C42×C43—21no—
645C42×C43C2411yescharacteristic
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43C2×D411yescharacteristic
654C22⋊Dic43C2×D411yescharacteristic
655#10621885—22no—
656#10621885—22no—
657#10621885—41no—
658#10621885—41no—
659#10621884—41no—
660#10621884—41no—
661#10621884—41no—
662#10621883—22no—
663#10621883—41no—
664#10621882—22no—
665#10621882—41no—
666#10621882—41no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4C2×D411yescharacteristic
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689(C2×D43)⋊C4C2×D411yescharacteristic
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43C2×D411yescharacteristic
695C4⋊Dic43C2411yescharacteristic
696C4⋊Dic43C2411yescharacteristic
697C4⋊Dic43C2411yescharacteristic
698C4⋊Dic43C2411yescharacteristic
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4C2×D411yescharacteristic
715Dic43⋊C4C2×D411yescharacteristic
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2×D411yescharacteristic
724C4×Dic43C2411yescharacteristic
725C2×C43⋊C8—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731D344—41no—
732#10621873—22no—
733#10621873—41no—
734#10621872—41no—
735#10621872—41no—
736#10621872—41no—
737#10621872—41no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—42no—
742C23×C43—42no—
743C23×C43—81no—
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C22×D43—22no—
747C22×D43—21no—
748C22×D43—21no—
749C22×D43—41no—
750C22×D43—41no—
751C22×D43—41no—
752C22×D43—41no—
753C22×D43—41no—
754C22×D43—42no—
755C22×D43—42no—
756C22×D43—42no—
757C22×D43—81no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43C22×D411yescharacteristic
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—81no—
770D4×C43—22no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—21no—
776D4×C43—42no—
777D4×C43—42no—
778D4×C43—42no—
779D4×C43—81no—
780D4×C43—81no—
781D4×C43H(5,𝔽2)12yes—
782C2×C4×C43—21no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—42no—
792C2×C4×C43—81no—
793C2×C4×C43—81no—
794C2×C4×C43—81no—
795C2×C4×C43C22×D411yescharacteristic
796C2×C4×C43C22×D411yescharacteristic
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C22×D411yescharacteristic
799C2×C4×C43C2511yescharacteristic
800C22⋊D43—24no—
801C22⋊D43—22no—
802C22⋊D43—41no—
803C22⋊D43—42no—
804C22⋊D43—42no—
805C22⋊D43—42no—
806C22⋊D43—42no—
807C22⋊D43—42no—
808C22⋊D43—42no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—81no—
814C22⋊D43—81no—
815C22⋊D43—81no—
816C22⋊D43—81no—
817C2×Dic43—24no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—41no—
825C2×Dic43—41no—
826C2×Dic43—42no—
827C2×Dic43—42no—
828C2×Dic43—42no—
829C2×Dic43—42no—
830C2×Dic43—42no—
831C2×Dic43—81no—
832C2×Dic43—81no—
833C2×Dic43C22×D411yescharacteristic
834C2×Dic43C22×D411yescharacteristic
835C2×Dic43C22×D411yescharacteristic
836C2×Dic43C22×D411yescharacteristic
837C2×Dic43C22×D411yescharacteristic
838D172—21no—
839D172—21no—
840D172—21no—
841D172—21no—
842D172—41no—
843D172—42no—
844D172—42no—
845D172—81no—
846D172—81no—
847C4×D43—21no—
848C4×D43—21no—
849C4×D43—21no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—41no—
854C4×D43—41no—
855C4×D43—41no—
856C4×D43—41no—
857C4×D43—41no—
858C4×D43—41no—
859C4×D43—42no—
860C4×D43—42no—
861C4×D43—42no—
862C4×D43—42no—
863C4×D43—81no—
864C4×D43—81no—
865Dic86—21no—
866Dic86—21no—
867Dic86—21no—
868Dic86—42no—
869Dic86—42no—
870Dic86H(5,𝔽2)12yes—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61606—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—22no—
884C22×C43—21no—
885C22×C43—21no—
886C22×C43—41no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—84no—
895C22×C43#57512yes—
896C22×C43C23×D411yescharacteristic
897C2×D43—21no—
898C2×D43—21no—
899C2×D43—21no—
900C2×D43—21no—
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—21no—
904C2×D43—21no—
905C2×D43—21no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—82no—
913C2×D43—82no—
914C2×D43—84no—
915C2×D43—162no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43—41no—
925C4×C43C2×H(5,𝔽2)11yescharacteristic
926C4×C43C2×H(5,𝔽2)11yescharacteristic
927Dic43—21no—
928Dic43—22no—
929Dic43—21no—
930Dic43—21no—
931Dic43—21no—
932Dic43—21no—
933Dic43—41no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3505—431no—
939D4×#41—431no—
940#3327—431no—
941#3323—431no—
942#3320—431no—
943#3318—431no—
944#3317—431no—
945#3315—431no—
946#3301—431no—
947#3297—431no—
948#3285—431no—
949#3282D4311yescharacteristic, complemented
950#3275—431no—
951#3273—431no—
952#3270—431no—
953#3268—431no—
954#3267—431no—
955#3265—431no—
956#3219—431no—
957#3212—431no—
958#3197—431no—
959#3196—431no—
960#3191—431no—
961#3188—431no—
962#3111—431no—
963#3102—431no—
964#3006—431no—
965#3005—431no—
966#3002—431no—
967C2×#452—431no—
968#2974—431no—
969C2×C43—22no—
970C2×C43—41no—
971C2×C43—42no—
972C2×C43—81no—
973C2×C43—81no—
974C2×C43#348411yescharacteristic
975C2×C43C2×#57511yescharacteristic
976C2×C43#358411yescharacteristic
977D43—41no—
978D43—41no—
979D43—41no—
980D43—81no—
981D43—81no—
982C22×#41—431no—
983C22×#41—431no—
984C2×#137—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)—431no—
988C2×#135—431no—
989C2×#135C2×D4311yescharacteristic, complemented
990C22×Q16—431no—
991C22×SD16C2×D4311yescharacteristic, complemented
992#553—431no—
993#553—431no—
994#553—861no—
995#553—861no—
996#552—431no—
997#552—431no—
998#551—861no—
999#551—861no—
1000#550—431no—
1001D4×Q8—431no—
1002#548—431no—
1003#548—431no—
1004#548—431no—
1005#548C2×D4311yescharacteristic, complemented
1006#547—431no—
1007#547—861no—
1008#546—431no—
1009#546—431no—
1010#546—431no—
1011#546—861no—
1012#546—861no—
1013#546C2×D4311yescharacteristic, complemented
1014D42—431no—
1015D42—861no—
1016#539—861no—
1017#538—861no—
1018#534—861no—
1019#532—431no—
1020#532—861no—
1021#529—431no—
1022#529—431no—
1023#525—431no—
1024#525—431no—
1025#525—431no—
1026#525—431no—
1027#525—861no—
1028#525—861no—
1029C2×C22⋊Q8—431no—
1030C2×#121—431no—
1031#518—861no—
1032C4×#41—431no—
1033C2×C4×D4—431no—
1034C2×C4×D4—861no—
1035#497—431no—
1036#496—431no—
1037#495—431no—
1038#495C2×D4311yescharacteristic, complemented
1039#491—431no—
1040#490—431no—
1041#488—431no—
1042#488—431no—
1043#485—431no—
1044#485—431no—
1045#485—431no—
1046#485—431no—
1047#484—431no—
1048#484—431no—
1049#482—431no—
1050#482—431no—
1051#482—431no—
1052#482—431no—
1053#481—431no—
1054#481—431no—
1055#479—431no—
1056#479—431no—
1057#478—431no—
1058#478—431no—
1059#470—431no—
1060#470—431no—
1061#470—431no—
1062#469—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468—431no—
1067#467—431no—
1068#466—431no—
1069#466—431no—
1070#466—431no—
1071#465—431no—
1072#465—431no—
1073#465C2×D4311yescharacteristic, complemented
1074#465C2×D4311yescharacteristic, complemented
1075#464—431no—
1076#464—431no—
1077#464—431no—
1078#464C2×D4311yescharacteristic, complemented
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463C2×D4311yescharacteristic, complemented
1083#462—431no—
1084#461—431no—
1085#460—431no—
1086#459—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452C2×D4311yescharacteristic, complemented
1101#451—431no—
1102#451C2×D4311yescharacteristic, complemented
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449—431no—
1114#449C2×D4311yescharacteristic, complemented
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448—431no—
1119#447—431no—
1120#447—431no—
1121#447—431no—
1122#447C2×D4311yescharacteristic, complemented
1123#442—431no—
1124#441—431no—
1125#440—431no—
1126#440—431no—
1127C4×Q16—431no—
1128C4×SD16—431no—
1129C4×SD16C2×D4311yescharacteristic, complemented
1130C4×D8—431no—
1131#436—431no—
1132#436—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435—431no—
1137C8×D4—431no—
1138C8×D4C2×D4311yescharacteristic, complemented
1139#432—431no—
1140#431—431no—
1141#419—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#103—431no—
1148C2×#102—431no—
1149#407—431no—
1150#407—431no—
1151C2×C22⋊C8—431no—
1152C2×C22⋊C8—431no—
1153C43#6160611yescharacteristic, complemented, Sylow
1154C2×#41—431no—
1155C2×#41—431no—
1156C2×#41—431no—
1157C2×#41—431no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—861no—
1162C2×#41—861no—
1163C2×#41—861no—
1164C2×#41—861no—
1165C2×#41—1722no—
1166C2×#41—1722no—
1167C2×#41—1722no—
1168C2×#41—1722no—
1169C2×#41C22×D4311yescharacteristic
1170C2×#41C22×D4311yescharacteristic
1171C22×Q8—431no—
1172C22×Q8—431no—
1173C22×Q8C22×D4311yescharacteristic
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—861no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C22×D4C22×D4311yescharacteristic
1182C23×C4—431no—
1183C23×C4—431no—
1184C23×C4—861no—
1185C23×C4—861no—
1186#137—1722no—
1187AGL(1,ℤ/8)—1722no—
1188AGL(1,ℤ/8)—1722no—
1189AGL(1,ℤ/8)—1722no—
1190#135—42no—
1191#135—1722no—
1192C2×Q16—431no—
1193C2×Q16—431no—
1194C2×Q16—431no—
1195C2×Q16—431no—
1196C2×Q16—1722no—
1197C2×Q16C22×D4311yescharacteristic
1198C2×Q16C22×D4311yescharacteristic
1199C2×SD16—42no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16C22×D4311yescharacteristic
1208C2×SD16C22×D4311yescharacteristic
1209C2×SD16C22×D4311yescharacteristic
1210C2×SD16C22×D4311yescharacteristic
1211C2×SD16C22×D4311yescharacteristic
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8C22×D4311yescharacteristic
1217C2×D8C22×D4311yescharacteristic
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16—431no—
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8C22×D4311yescharacteristic
1225C22×C8C22×D4311yescharacteristic
1226C4⋊Q8—431no—
1227C4⋊Q8—861no—
1228#127—431no—
1229#127—861no—
1230#126—861no—
1231#126—861no—
1232#126—861no—
1233#126—861no—
1234#126—861no—
1235#126—861no—
1236#125—431no—
1237#125—431no—
1238#125—861no—
1239#125—861no—
1240#124—21no—
1241#124—431no—
1242#124—431no—
1243#124—861no—
1244#124—861no—
1245#124—861no—
1246#124C22×D4311yescharacteristic
1247#124C22×D4311yescharacteristic
1248#123—21no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264C22⋊Q8—21no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—431no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8C22×D4311yescharacteristic
1281C22⋊Q8C22×D4311yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—431no—
1291#121—431no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121C22×D4311yescharacteristic
1309#121C22×D4311yescharacteristic
1310#120—21no—
1311#120—861no—
1312#120—861no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319#120—861no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8C22×D4311yescharacteristic
1324C4×D4—21no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—431no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4—861no—
1351C4×D4—861no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4C22×D4311yescharacteristic
1357C4×D4C22×D4311yescharacteristic
1358#117—431no—
1359#117—431no—
1360#117—431no—
1361#117—861no—
1362#117—861no—
1363#117—861no—
1364#117—861no—
1365#117—861no—
1366C2×C4⋊C4—431no—
1367C2×C4⋊C4—431no—
1368C2×C4⋊C4—431no—
1369C2×C4⋊C4—861no—
1370C2×C4⋊C4—861no—
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—431no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C42—431no—
1380C2×C42—861no—
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107—431no—
1385#106—431no—
1386#106—431no—
1387#106—431no—
1388#106C22×D4311yescharacteristic
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8C22×D4311yescharacteristic
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103C22×D4311yescharacteristic
1407#103C22×D4311yescharacteristic
1408#103C22×D4311yescharacteristic
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102—431no—
1422#102C22×D4311yescharacteristic
1423#102C22×D4311yescharacteristic
1424#102C22×D4311yescharacteristic
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8C22×D4311yescharacteristic
1436C22⋊C8C22×D4311yescharacteristic
1437#97—431no—
1438#97—431no—
1439C4×C8—431no—
1440C4×C8C22×D4311yescharacteristic
1441C24—21no—
1442C24—431no—
1443C24—431no—
1444C24—861no—
1445C24—861no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—862no—
1451#41—862no—
1452#41—862no—
1453#41—862no—
1454#41—862no—
1455#41—1721no—
1456#41—1724no—
1457#41—1721no—
1458#41—1721no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1724no—
1464#41—1724no—
1465#41—1721no—
1466#41—1721no—
1467#41—1724no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—861no—
1474C2×Q8—862no—
1475C2×Q8—861no—
1476C2×Q8—862no—
1477C2×Q8—1721no—
1478C2×Q8—1721no—
1479C2×Q8C23×D4311yescharacteristic
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—22no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—431no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—431no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—862no—
1504C2×D4—861no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—1721no—
1515C2×D4—1721no—
1516C2×D4—1721no—
1517C2×D4—1722no—
1518C2×D4—1724no—
1519C2×D4—1724no—
1520C2×D4—1724no—
1521C2×D4—1724no—
1522C2×D4D4×D4311yescharacteristic
1523C2×D4C23×D4311yescharacteristic
1524C2×D4C23×D4311yescharacteristic
1525C2×D4C23×D4311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—431no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—861no—
1544C22×C4—861no—
1545C22×C4—861no—
1546C22×C4—861no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—861no—
1555C22×C4—1721no—
1556C22×C4—1721no—
1557C22×C4—1721no—
1558C22×C4—1721no—
1559C22×C4—1724no—
1560C22×C4—1724no—
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—862no—
1566Q16—862no—
1567Q16—1721no—
1568Q16—1721no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—862no—
1575SD16—862no—
1576SD16—1721no—
1577SD16—1721no—
1578SD16—1721no—
1579SD16—1721no—
1580SD16—1721no—
1581D8—22no—
1582D8—41no—
1583D8—862no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587M16—1721no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—431no—
1597C2×C8—1721no—
1598C2×C8—1721no—
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C2×C8C23×D4311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—431no—
1607C4⋊C4—431no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4D4×D4311yescharacteristic
1633C4⋊C4C23×D4311yescharacteristic
1634C4⋊C4C23×D4311yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—431no—
1645C22⋊C4—431no—
1646C22⋊C4—431no—
1647C22⋊C4—431no—
1648C22⋊C4—431no—
1649C22⋊C4—431no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4D4×D4311yescharacteristic
1677C22⋊C4D4×D4311yescharacteristic
1678C42—21no—
1679C42—431no—
1680C42—431no—
1681C42—431no—
1682C42—861no—
1683C42—861no—
1684C42—861no—
1685C42—861no—
1686C42—861no—
1687C42—861no—
1688C42C23×D4311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—42no—
1694C23—81no—
1695C23—431no—
1696C23—431no—
1697C23—431no—
1698C23—862no—
1699C23—861no—
1700C23—861no—
1701C23—3441no—
1702C23—3441no—
1703C23—3441no—
1704C23—1721no—
1705C23—1721no—
1706C23—1721no—
1707C23—1721no—
1708C23—1721no—
1709C23—1722no—
1710C23—1722no—
1711C23—1722no—
1712C23C2×D4×D4311yescharacteristic
1713C23C2×D4×D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—81no—
1721Q8—432no—
1722Q8—861no—
1723Q8—861no—
1724Q8—861no—
1725Q8—1722no—
1726Q8—1722no—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—864no—
1739D4—862no—
1740D4—861no—
1741D4—861no—
1742D4—861no—
1743D4—861no—
1744D4—3441no—
1745D4—3441no—
1746D4—3441no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—1721no—
1751D4—1722no—
1752D4—1722no—
1753D4—1721no—
1754D4—1722no—
1755D4—1722no—
1756D4—1722no—
1757D4—1722no—
1758D4—1722no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4#1306337012yes—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—431no—
1779C2×C4—431no—
1780C2×C4—431no—
1781C2×C4—431no—
1782C2×C4—431no—
1783C2×C4—864no—
1784C2×C4—861no—
1785C2×C4—861no—
1786C2×C4—861no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—3441no—
1797C2×C4—3441no—
1798C2×C4—3441no—
1799C2×C4—3441no—
1800C2×C4—1721no—
1801C2×C4—1721no—
1802C2×C4—1721no—
1803C2×C4—1721no—
1804C2×C4—1721no—
1805C2×C4—1721no—
1806C2×C4—1722no—
1807C2×C4—1722no—
1808C2×C4—1722no—
1809C2×C4—1722no—
1810C2×C4—1721no—
1811C2×C4—1721no—
1812C2×C4—1722no—
1813C2×C4—1722no—
1814C2×C4—1722no—
1815C2×C4—1722no—
1816C2×C4—1722no—
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C2×D4×D4311yescharacteristic
1819C2×C4C2×D4×D4311yescharacteristic
1820C2×C4C2×D4×D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—22no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—84no—
1845C22—861no—
1846C22—861no—
1847C22—861no—
1848C22—861no—
1849C22—861no—
1850C22—861no—
1851C22—861no—
1852C22—861no—
1853C22—861no—
1854C22—3442no—
1855C22—3444no—
1856C22—3442no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—1721no—
1862C22—1721no—
1863C22—6882no—
1864C22#1458369612yes—
1865C22C22×D4×D4311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—861no—
1876C4—861no—
1877C4—861no—
1878C4—861no—
1879C4—861no—
1880C4—862no—
1881C4—1721no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4H(5,𝔽2)×D4311yescharacteristic
1887C4C2×#1306337011yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—3441no—
1894C2—3441no—
1895C2—1721no—
1896C2—1721no—
1897C2—1721no—
1898C2#1914822311yescharacteristic
1899C2C2×#1458369611yescharacteristic
1900C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3282C2
socleC22×C43C23×D4
hypercenter#3282D43
hypocenterC43#61606
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #19148431C2semidirect
2. #19148079C2semidirect
3. #19146870C2semidirect
4. #19146816C2semidirect
5. #19146772C2semidirect
6. #19146740C2semidirect
7. #19146727C2semidirect
8. #19146695C2semidirect
9. #19146499C2semidirect
10. #19146445C2semidirect
11. #19146332C2semidirect
12. #19146225C2semidirect
13. #19146201C2semidirect
14. #19146169C2semidirect
15. #19146139C2semidirect
16. #19146120C2semidirect
17. #19146090C2semidirect
18. #19145637C2semidirect
19. #19145566C2semidirect
20. #19145434C2semidirect
21. #19145428C2semidirect
22. #19145384C2semidirect
23. #19145361C2semidirect
24. #19144701C2semidirect
25. #19144617C2semidirect
26. #19143842C2semidirect
27. #19143838C2semidirect
28. #19143809C2semidirect
29. C2×#14583058C2semidirect
30. #19143628C2semidirect
31. C43×#3282C2semidirect
33. C2×#41×D43C22semidirect
34. C2×#13063357C22semidirect
35. C2×#13063352C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063349C22semidirect
38. C2×#13063345C22semidirect
39. C22×#10621885C22semidirect
42. #14583595C22semidirect
44. #14583590C22semidirect
45. #14583583C22semidirect
49. #14583562C22semidirect
51. #14583558C22semidirect
56. #14583542C22semidirect
59. #14583537C22semidirect
60. D4×C22⋊D43C22semidirect
65. #14583448C22semidirect
67. #14583436C22semidirect
68. #14583428C22semidirect
70. #14583412C22semidirect
71. #14583409C22semidirect
73. #14583406C22semidirect
75. C2×#13063301C22semidirect
76. #121×D43C22semidirect
78. C4×#10621900C22semidirect
81. #14583292C22semidirect
82. #14583285C22semidirect
83. #14583281C22semidirect
84. #14583266C22semidirect
85. #14583262C22semidirect
86. #14583254C22semidirect
87. #14583253C22semidirect
88. #14583243C22semidirect
89. #14583241C22semidirect
90. #14583238C22semidirect
91. #14583238C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583225C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583219C22semidirect
99. #14583218C22semidirect
100. #14583209C22semidirect
101. #14583207C22semidirect
102. #14583201C22semidirect
103. #14583199C22semidirect
104. #14583156C22semidirect
105. #14583154C22semidirect
106. #14583154C22semidirect
107. #14583149C22semidirect
108. #14583148C22semidirect
109. #14583148C22semidirect
110. #14583144C22semidirect
111. #14583142C22semidirect
112. #14583138C22semidirect
113. #14583135C22semidirect
114. #14583133C22semidirect
115. #14583133C22semidirect
116. #14583130C22semidirect
117. #14583128C22semidirect
118. #14583124C22semidirect
119. #14583121C22semidirect
120. #14583118C22semidirect
121. #14583116C22semidirect
122. #14583115C22semidirect
123. #14583111C22semidirect
124. #14583107C22semidirect
125. #14583102C22semidirect
126. #14583097C22semidirect
127. #14583092C22semidirect
128. #14583064C22semidirect
129. #14583061C22semidirect
130. #14583060C22semidirect
131. #14583060C22semidirect
132. #14583059C22semidirect
133. #14583058C22semidirect
134. #14583058C22semidirect
135. #14583058C22semidirect
136. #14583058C22semidirect
137. #14583058C22semidirect
138. #14583058C22semidirect
139. #14583058C22semidirect
140. #14583058C22semidirect
141. #14583053C22semidirect
142. #14583048C22semidirect
143. #14583048C22semidirect
144. #14583047C22semidirect
145. #14583046C22semidirect
147. #14583045C22semidirect
148. #14583044C22semidirect
149. #14583043C22semidirect
150. #14583043C22semidirect
152. #14583041C22semidirect
153. #14583040C22semidirect
154. #14583038C22semidirect
155. #14583037C22semidirect
156. #14583036C22semidirect
157. #14583034C22semidirect
158. #14583033C22semidirect
159. #14583031C22semidirect
160. #14583011C22semidirect
161. #14583003C22semidirect
162. #14583000C22semidirect
163. #14582996C22semidirect
164. C4×#10621885C22semidirect
165. C4×#10621873C22semidirect
166. C4×#10621882C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582970C22semidirect
170. #14582970C22semidirect
171. #14582967C22semidirect
172. #14582967C22semidirect
173. D4×C43⋊C8C22semidirect
174. #14582955C22semidirect
175. #14582950C22semidirect
176. #14582906C22semidirect
177. #14582902C22semidirect
178. #14582897C22semidirect
179. #14582897C22semidirect
180. #14582896C22semidirect
181. #14582895C22semidirect
182. C2×#13063250C22semidirect
183. C2×#13063246C22semidirect
184. #14582861C22semidirect
185. #14582861C22semidirect
186. C2×(C2×D43)⋊C8C22semidirect
187. C2×(C2×D43)⋊C8C22semidirect
188. C2×#135×C43C22semidirect
189. C22×SD16×C43C22semidirect
190. C43×#548C22semidirect
191. C43×#546C22semidirect
192. C43×#495C22semidirect
193. C43×#465C22semidirect
194. C43×#465C22semidirect
195. C43×#464C22semidirect
196. C43×#463C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C43×#449C22semidirect
200. C43×#447C22semidirect
201. C4×SD16×C43C22semidirect
202. C8×D4×C43C22semidirect
949. #3282D43semidirect
989. C2×#135C2×D43semidirect
991. C22×SD16C2×D43semidirect
1005. #548C2×D43semidirect
1013. #546C2×D43semidirect
1038. #495C2×D43semidirect
1073. #465C2×D43semidirect
1074. #465C2×D43semidirect
1078. #464C2×D43semidirect
1082. #463C2×D43semidirect
1100. #452C2×D43semidirect
1102. #451C2×D43semidirect
1114. #449C2×D43semidirect
1122. #447C2×D43semidirect
1129. C4×SD16C2×D43semidirect
1138. C8×D4C2×D43semidirect
1153. C43#61606semidirect

Maximal subgroups

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

subgroupindex
#191484312
#191480792
#191468702
#191468162
#191467722
#191467402
#191467272
#191466952
#191464992
#191464452
#191463322
#191462252
#191462012
#191461692
#191461392
#191461202
#191460902
#191456372
#191455662
#191454342
#191454282
#191453842
#191453612
#191447012
#191446172
#191438422
#191438382
#191438092
C2×#145830582
#191436282
C43×#32822
#6160643