Finite Group Databasebeta

← #25967455

Subgroups — #25967455

Order 11008.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148262C211yesmaximal, characteristic
2#536×D43C211yesmaximal, characteristic, complemented
3#19145479C211yesmaximal, characteristic, complemented
4#19145477C211yesmaximal, characteristic, complemented
5#19145475C211yesmaximal, characteristic, complemented
6#19145473C211yesmaximal, characteristic, complemented
7#19145469C211yesmaximal, characteristic, complemented
8#19145467C211yesmaximal, characteristic, complemented
9#19145465C211yesmaximal, characteristic, complemented
10#19145429C211yesmaximal, characteristic, complemented
11#19145420C211yesmaximal, characteristic, complemented
12#19145398C211yesmaximal, characteristic, complemented
13#19145396C211yesmaximal, characteristic, complemented
14#19145380C211yesmaximal, characteristic, complemented
15#19145371C211yesmaximal, characteristic, complemented
16#19145349C211yesmaximal, characteristic, complemented
17#19145347C211yesmaximal, characteristic, complemented
18#19144561C211yesmaximal, characteristic, complemented
19#19144559C211yesmaximal, characteristic, complemented
20#19144534C211yesmaximal, characteristic, complemented
21#19144507C211yesmaximal, characteristic, complemented
22#19144281C211yesmaximal, characteristic, complemented
23#19144279C211yesmaximal, characteristic, complemented
24#19144232C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26#19143867C211yesmaximal, characteristic, complemented
27#19143867C211yesmaximal, characteristic, complemented
28#19143826C211yesmaximal, characteristic, complemented
29#448×D43C211yesmaximal, characteristic, complemented
30#19143043C211yesmaximal, characteristic, complemented
31C43×#3200C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C22×Q8×D43C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic, complemented
38C2×SD16×D43C2211yescharacteristic, complemented
39C2×#13063333C2211yescharacteristic, complemented
40C2×#13063331C2211yescharacteristic, complemented
41#14583569—21no—
42#14583557—21no—
43#14583542—21no—
44#14583536—21no—
45#14583536—21no—
46#14583534—21no—
47#14583531—21no—
48#14583531—21no—
49#14583478C2211yescharacteristic
50#14583478C2211yescharacteristic
51#14583477C2211yescharacteristic
52#14583475C2211yescharacteristic, complemented
53#14583474—21no—
54#14583473C2211yescharacteristic, complemented
55#14583472C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583472C2211yescharacteristic, complemented
58#14583472C2211yescharacteristic, complemented
59#14583471—21no—
60#14583471—21no—
61#14583470C2211yescharacteristic, complemented
62#14583469—21no—
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65C4⋊Q8×D43—21no—
66#124×D43—21no—
67#14583411C2211yescharacteristic
68#14583409C2211yescharacteristic
69#14583409C2211yescharacteristic
70#123×D43—21no—
71#123×D43—21no—
72C22⋊Q8×D43C2211yescharacteristic, complemented
73C22⋊Q8×D43C2211yescharacteristic, complemented
74C22⋊Q8×D43C2211yescharacteristic, complemented
75C22⋊Q8×D43C2211yescharacteristic, complemented
76C2×#13063296C2211yescharacteristic
77#121×D43C2211yescharacteristic
78#121×D43C2211yescharacteristic
79#14583379C2211yescharacteristic
80#117×D43C2211yescharacteristic, complemented
81#14583243C2211yescharacteristic, complemented
82#14583242C2211yescharacteristic, complemented
83#14583241C2211yescharacteristic, complemented
84#14583240C2211yescharacteristic, complemented
85#14583240C2211yescharacteristic, complemented
86#14583240C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583230C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic, complemented
99#14583224C2211yescharacteristic, complemented
100#14583223C2211yescharacteristic, complemented
101#14583220C2211yescharacteristic, complemented
102#14583220C2211yescharacteristic, complemented
103#14583219C2211yescharacteristic, complemented
104#14583216C2211yescharacteristic, complemented
105#14583216C2211yescharacteristic, complemented
106#14583214C2211yescharacteristic, complemented
107#14583211C2211yescharacteristic, complemented
108#14583211C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583147C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583145C2211yescharacteristic, complemented
117#14583144C2211yescharacteristic, complemented
118#14583144C2211yescharacteristic, complemented
119#14583143C2211yescharacteristic, complemented
120#14583143C2211yescharacteristic, complemented
121#14583142C2211yescharacteristic, complemented
122#14583142C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583140C2211yescharacteristic, complemented
125#14583139C2211yescharacteristic, complemented
126#14583138C2211yescharacteristic, complemented
127#14583131C2211yescharacteristic, complemented
128#14583130C2211yescharacteristic, complemented
129#14583129C2211yescharacteristic, complemented
130#14583128C2211yescharacteristic, complemented
131#14583127C2211yescharacteristic, complemented
132#14583127C2211yescharacteristic, complemented
133#14583126C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583063C2211yescharacteristic, complemented
138#14583063C2211yescharacteristic, complemented
139#14583062C2211yescharacteristic, complemented
140#14583062C2211yescharacteristic, complemented
141#14583059C2211yescharacteristic, complemented
142#14583059C2211yescharacteristic, complemented
143#14583058C2211yescharacteristic, complemented
144#14583058C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583055C2211yescharacteristic, complemented
149#14583051C2211yescharacteristic, complemented
150#14583051C2211yescharacteristic, complemented
151#14583050C2211yescharacteristic, complemented
152#14583050C2211yescharacteristic, complemented
153#14583048C2211yescharacteristic, complemented
154#14583048C2211yescharacteristic, complemented
155#14583040C2211yescharacteristic, complemented
156#14583039C2211yescharacteristic, complemented
157#14583039C2211yescharacteristic, complemented
158#14583038C2211yescharacteristic, complemented
159#14583037C2211yescharacteristic, complemented
160#14583037C2211yescharacteristic, complemented
161#14583036C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic, complemented
164#14583036C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic, complemented
169#14582906C2211yescharacteristic, complemented
170#14582906C2211yescharacteristic, complemented
171#14582902C2211yescharacteristic, complemented
172#14582902C2211yescharacteristic, complemented
173#14582892C2211yescharacteristic, complemented
174#14582892C2211yescharacteristic, complemented
175#103×D43C2211yescharacteristic, complemented
176#103×D43C2211yescharacteristic, complemented
177#14582866C2211yescharacteristic, complemented
178#14582864C2211yescharacteristic
179#14582864C2211yescharacteristic
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582862C2211yescharacteristic, complemented
183#14582861C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic, complemented
185C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C43×#536C2211yescharacteristic, complemented
189C43×#535C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C43×#450C2211yescharacteristic, complemented
200C43×#448C2211yescharacteristic, complemented
201C43×#448C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
203#13063370—42no—
204#13063370—42no—
205C2×#10621902D411yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900D411yescharacteristic
212C2×#10621900D411yescharacteristic
213C2×#10621900D411yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216#41×D43—42no—
217#41×D43—42no—
218C22×Dic86—21no—
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43—21no—
221C2×Q8×D43—21no—
222C2×Q8×D43—42no—
223C2×Q8×D43—42no—
224C2×Q8×D43D411yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C2×Q8×D43C2311yescharacteristic
228C2×Q8×D43C2311yescharacteristic
229C22×C22⋊D43—21no—
230C22×C22⋊D43—21no—
231C22×C22⋊D43—21no—
232C2×D4×D43—21no—
233C2×D4×D43—21no—
234C2×D4×D43—21no—
235C2×D4×D43D411yescharacteristic
236C2×D4×D43D411yescharacteristic
237C2×D4×D43D411yescharacteristic
238C2×D4×D43C2311yescharacteristic
239C2×D4×D43C2311yescharacteristic
240C22×C4×D43—21no—
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063354—42no—
245#13063354—42no—
246C2×Dic172C2311yescharacteristic
247C2×Dic172C2311yescharacteristic
248C2×#10621885C2311yescharacteristic
249C2×#10621885C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258SD16×D43—42no—
259SD16×D43—42no—
260#13063333—42no—
261#13063331—42no—
262C2×#10621877C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C22×C43⋊C8C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269C2×C8×D43C2311yescharacteristic
270C2×C8×D43C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272#13063325—21no—
273#13063324—21no—
274#13063324—21no—
275#13063324—21no—
276#13063324—21no—
277#13063323—21no—
278#13063323—21no—
279#13063321—21no—
280#13063321—21no—
281#13063314—21no—
282#13063313—21no—
283#13063312—21no—
284#13063311—21no—
285#13063311—21no—
286#13063311—21no—
287#13063311—21no—
288#13063311—21no—
289#13063311—21no—
290#13063310—21no—
291#13063310—21no—
292#13063310—21no—
293#13063310—21no—
294#13063309—21no—
295#13063309—21no—
296#13063309—21no—
297#13063308—21no—
298#13063308—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307—21no—
305#13063306—21no—
306#13063306—21no—
307#13063305C2311yescharacteristic
308#13063305C2311yescharacteristic
309#13063305C2311yescharacteristic
310#13063305C2311yescharacteristic
311#13063305C2311yescharacteristic
312#13063305C2311yescharacteristic
313#13063304C2311yescharacteristic
314#13063304C2311yescharacteristic
315#13063304C2311yescharacteristic
316#13063304C2311yescharacteristic
317#13063304C2311yescharacteristic
318#13063304C2311yescharacteristic
319#13063303—21no—
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063302—21no—
324#13063302—21no—
325#13063302—21no—
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063301—21no—
330#13063301C2311yescharacteristic
331#13063301C2311yescharacteristic
332#13063301C2311yescharacteristic
333#13063301C2311yescharacteristic
334#13063300C2311yescharacteristic
335#13063300C2311yescharacteristic
336#13063299C2311yescharacteristic
337#13063299C2311yescharacteristic
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063296—21no—
349#13063296—21no—
350#13063296—21no—
351#13063296—21no—
352#13063296—21no—
353#13063296C2311yescharacteristic
354#13063296C2311yescharacteristic
355#13063296C2311yescharacteristic
356#13063296C2311yescharacteristic
357#13063295—21no—
358#13063295—21no—
359#13063295—21no—
360#13063293—21no—
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364C4×Dic86—21no—
365C4×D172—21no—
366C4×D172—21no—
367C4×D172—21no—
368D4×Dic43—21no—
369D4×Dic43—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374#13063284C2311yescharacteristic
375#13063283C2311yescharacteristic
376#13063283C2311yescharacteristic
377#13063283C2311yescharacteristic
378#13063283C2311yescharacteristic
379#13063282—21no—
380#13063281—21no—
381C2×C4⋊Dic43C2311yescharacteristic
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43—21no—
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C4⋊C4×D43C2311yescharacteristic
389C4⋊C4×D43C2311yescharacteristic
390C2×C22⋊Dic43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C42×D43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063258C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409#13063256C2311yescharacteristic
410#13063256C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437C22⋊(C43⋊C8)C2311yescharacteristic
438C22⋊(C43⋊C8)C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444(C2×D43)⋊C8C2311yescharacteristic
445(C2×D43)⋊C8C2311yescharacteristic
446(C2×D43)⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C22×D4×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456C4⋊Q8×C43—21no—
457#127×C43—21no—
458#124×C43—21no—
459#124×C43—21no—
460#123×C43—21no—
461#123×C43—21no—
462C22⋊Q8×C43C2311yescharacteristic
463C22⋊Q8×C43C2311yescharacteristic
464C22⋊Q8×C43C2311yescharacteristic
465C22⋊Q8×C43C2311yescharacteristic
466#121×C43C2311yescharacteristic
467#121×C43C2311yescharacteristic
468#121×C43C2311yescharacteristic
469#121×C43C2311yescharacteristic
470#120×C43—21no—
471#120×C43—21no—
472#117×C43C2311yescharacteristic
473#117×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#106×C43C2311yescharacteristic
477#106×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43—21no—
492C23×D43—21no—
493C23×D43C2×D411yescharacteristic
494C23×D43C2×D411yescharacteristic
495C23×D43C2×D411yescharacteristic
496#41×C43—41no—
497#41×C43—41no—
498C2×Q8×C43—21no—
499C2×Q8×C43—41no—
500C2×Q8×C43—41no—
501C2×Q8×C43C2×D411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—41no—
510C2×D4×C43—41no—
511C2×D4×C43C2×D411yescharacteristic
512C2×D4×C43C2×D411yescharacteristic
513C2×D4×C43C2×D411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C2×D4×C43C2411yescharacteristic
516C22×C4×C43—21no—
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
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—44no—
532C2×C22⋊D43—44no—
533C2×C22⋊D43—82no—
534C2×C22⋊D43C2×D411yescharacteristic
535C2×C22⋊D43C2×D411yescharacteristic
536C2×C22⋊D43C2×D411yescharacteristic
537C2×C22⋊D43C2×D411yescharacteristic
538C2×C22⋊D43C2×D411yescharacteristic
539C2×C22⋊D43C2×D411yescharacteristic
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43C2×D411yescharacteristic
545C22×Dic43C2×D411yescharacteristic
546C22×Dic43C2×D411yescharacteristic
547#10621902—42no—
548Q8×D43—22no—
549Q8×D43—22no—
550Q8×D43—22no—
551Q8×D43—22no—
552Q8×D43—42no—
553Q8×D43—41no—
554Q8×D43—41no—
555Q8×D43—41no—
556Q8×D43—41no—
557Q8×D43—44no—
558Q8×D43—44no—
559#10621900—22no—
560#10621900—22no—
561#10621900—41no—
562#10621900—41no—
563#10621900—42no—
564#10621900—42no—
565#10621900—44no—
566#10621900—42no—
567D4×D43—22no—
568D4×D43—22no—
569D4×D43—42no—
570D4×D43—42no—
571D4×D43—41no—
572D4×D43—41no—
573D4×D43—42no—
574D4×D43—44no—
575D4×D43—82no—
576D4×D43—82no—
577#10621898—22no—
578#10621898—22no—
579#10621898—22no—
580#10621898—22no—
581#10621898—41no—
582#10621898—41no—
583#10621898—41no—
584#10621898—41no—
585C2×D172—21no—
586C2×D172—21no—
587C2×D172C2×D411yescharacteristic
588C2×D172C2×D411yescharacteristic
589C2×D172C2×D411yescharacteristic
590C2×D172C2411yescharacteristic
591C2×C4×D43—22no—
592C2×C4×D43—22no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—21no—
601C2×C4×D43—21no—
602C2×C4×D43—44no—
603C2×C4×D43—41no—
604C2×C4×D43—41no—
605C2×C4×D43—41no—
606C2×C4×D43—41no—
607C2×C4×D43C2×D411yescharacteristic
608C2×C4×D43C2×D411yescharacteristic
609C2×C4×D43C2×D411yescharacteristic
610C2×C4×D43C2×D411yescharacteristic
611C2×C4×D43C2×D411yescharacteristic
612C2×C4×D43C2×D411yescharacteristic
613C2×C4×D43C2411yescharacteristic
614C2×C4×D43C2411yescharacteristic
615C2×C4×D43C2411yescharacteristic
616C2×C4×D43C2411yescharacteristic
617C2×Dic86—21no—
618C2×Dic86—21no—
619C2×Dic86—21no—
620C2×Dic86—21no—
621C2×Dic86—21no—
622C2×Dic86—41no—
623C2×Dic86—41no—
624C2×Dic86—44no—
625C2×Dic86C2×D411yescharacteristic
626C2×Dic86C2×D411yescharacteristic
627C2×Dic86C2×D411yescharacteristic
628C2×Dic86C2411yescharacteristic
629C2×Dic86C2411yescharacteristic
630C2×Dic86C2411yescharacteristic
631SD16×C43—41no—
632SD16×C43—41no—
633SD16×C43—41no—
634SD16×C43—41no—
635M16×C43—41no—
636C2×C8×C43—41no—
637C2×C8×C43C2411yescharacteristic
638C2×C8×C43C2411yescharacteristic
639C2×C8×C43C2411yescharacteristic
640C2×C8×C43C2411yescharacteristic
641C4⋊C4×C43—21no—
642C4⋊C4×C43—21no—
643C4⋊C4×C43—21no—
644C4⋊C4×C43—21no—
645C4⋊C4×C43C2411yescharacteristic
646C4⋊C4×C43C2411yescharacteristic
647C4⋊C4×C43C2411yescharacteristic
648C4⋊C4×C43C2411yescharacteristic
649C22⋊C4×C43—21no—
650C22⋊C4×C43—21no—
651C22⋊C4×C43—21no—
652C22⋊C4×C43—21no—
653C22⋊C4×C43—21no—
654C22⋊C4×C43—21no—
655C22⋊C4×C43—21no—
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C42×C43—21no—
660C42×C43—21no—
661C22⋊Dic43—21no—
662C22⋊Dic43—21no—
663C22⋊Dic43—21no—
664C22⋊Dic43—21no—
665C22⋊Dic43—21no—
666C22⋊Dic43—21no—
667C22⋊Dic43—21no—
668C22⋊Dic43—21no—
669C22⋊Dic43—21no—
670C22⋊Dic43—21no—
671C22⋊Dic43—21no—
672#10621885—41no—
673#10621885—41no—
674#10621884—41no—
675#10621884—41no—
676#10621883—41no—
677#10621883—41no—
678#10621883—41no—
679#10621883—41no—
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)⋊C4—21no—
687(C2×D43)⋊C4—21no—
688(C2×D43)⋊C4—21no—
689(C2×D43)⋊C4—21no—
690(C2×D43)⋊C4—21no—
691(C2×D43)⋊C4—21no—
692(C2×D43)⋊C4—21no—
693(C2×D43)⋊C4—21no—
694(C2×D43)⋊C4—21no—
695(C2×D43)⋊C4—21no—
696(C2×D43)⋊C4—21no—
697(C2×D43)⋊C4—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43—21no—
700C4⋊Dic43—21no—
701C4⋊Dic43—21no—
702C4⋊Dic43—21no—
703C4⋊Dic43—21no—
704C4⋊Dic43—21no—
705C4⋊Dic43C2411yescharacteristic
706C4⋊Dic43C2411yescharacteristic
707C4⋊Dic43C2411yescharacteristic
708C4⋊Dic43C2411yescharacteristic
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4—21no—
717Dic43⋊C4—21no—
718Dic43⋊C4—21no—
719Dic43⋊C4—21no—
720Dic43⋊C4—21no—
721Dic43⋊C4—21no—
722Dic43⋊C4—21no—
723C4×Dic43—21no—
724C4×Dic43—21no—
725C4×Dic43—21no—
726C4×Dic43—21no—
727C4×Dic43—21no—
728#10621877—41no—
729C2×C43⋊C8—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734Dic172—41no—
735Dic172—41no—
736#10621873—41no—
737#10621873—41no—
738#10621872—22no—
739#10621872—22no—
740#10621872—41no—
741#10621872—41no—
742C8×D43—22no—
743C8×D43—22no—
744C8×D43—41no—
745C8×D43—41no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43—42no—
749C23×C43—81no—
750C23×C43—81no—
751C23×C43C22×D411yescharacteristic
752C23×C43C22×D411yescharacteristic
753C23×C43C22×D411yescharacteristic
754C22×D43—22no—
755C22×D43—22no—
756C22×D43—22no—
757C22×D43—22no—
758C22×D43—21no—
759C22×D43—41no—
760C22×D43—41no—
761C22×D43—41no—
762C22×D43—41no—
763C22×D43—41no—
764C22×D43—42no—
765C22×D43—42no—
766C22×D43—81no—
767C22×D43—81no—
768C22×D43—81no—
769C22×D43—81no—
770C22×D43C22×D411yescharacteristic
771C22×D43C22×D411yescharacteristic
772C22×D43C22×D411yescharacteristic
773C22×D43C22×D411yescharacteristic
774Q8×C43—21no—
775Q8×C43—21no—
776Q8×C43—21no—
777Q8×C43—21no—
778Q8×C43—41no—
779Q8×C43—42no—
780D4×C43—21no—
781D4×C43—21no—
782D4×C43—21no—
783D4×C43—21no—
784D4×C43—41no—
785D4×C43—41no—
786D4×C43—41no—
787D4×C43—42no—
788D4×C43—81no—
789D4×C43—81no—
790D4×C43—81no—
791D4×C43—81no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—21no—
803C2×C4×C43—21no—
804C2×C4×C43—42no—
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C2511yescharacteristic
809C22⋊D43—22no—
810C22⋊D43—22no—
811C22⋊D43—22no—
812C22⋊D43—22no—
813C22⋊D43—41no—
814C22⋊D43—41no—
815C22⋊D43—42no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—42no—
819C22⋊D43—42no—
820C22⋊D43—42no—
821C22⋊D43—42no—
822C22⋊D43—81no—
823C22⋊D43—81no—
824C22⋊D43—81no—
825C22⋊D43—81no—
826C2×Dic43—22no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—21no—
830C2×Dic43—21no—
831C2×Dic43—21no—
832C2×Dic43—21no—
833C2×Dic43—21no—
834C2×Dic43—41no—
835C2×Dic43—41no—
836C2×Dic43—42no—
837C2×Dic43—42no—
838C2×Dic43—42no—
839C2×Dic43—81no—
840C2×Dic43C22×D411yescharacteristic
841C2×Dic43C22×D411yescharacteristic
842C2×Dic43C22×D411yescharacteristic
843C2×Dic43C22×D411yescharacteristic
844D172—22no—
845D172—22no—
846D172—21no—
847D172—21no—
848D172—41no—
849D172—42no—
850D172—81no—
851C4×D43—22no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—21no—
855C4×D43—21no—
856C4×D43—21no—
857C4×D43—21no—
858C4×D43—22no—
859C4×D43—41no—
860C4×D43—41no—
861C4×D43—41no—
862C4×D43—41no—
863C4×D43—42no—
864C4×D43—42no—
865C4×D43—42no—
866C4×D43—42no—
867C4×D43—42no—
868C4×D43—42no—
869C4×D43—42no—
870C4×D43—81no—
871C4×D43—81no—
872C4×D43H(5,𝔽2)12yes—
873C4×D43H(5,𝔽2)12yes—
874Dic86—22no—
875Dic86—22no—
876Dic86—21no—
877Dic86—21no—
878Dic86—21no—
879Dic86—21no—
880Dic86—21no—
881Dic86—21no—
882Dic86—41no—
883Dic86—42no—
884Dic86—42no—
885Dic86—42no—
886Dic86—42no—
887Dic86—42no—
888C8×C43—21no—
889C8×C43—21no—
890C8×C43—21no—
891C8×C43—21no—
892C43⋊C8—21no—
893C43⋊C8—21no—
894C43⋊C8—21no—
895C43⋊C8—21no—
896#60758—431nomaximal, Sylow
897C22×C43—21no—
898C22×C43—21no—
899C22×C43—21no—
900C22×C43—21no—
901C22×C43—21no—
902C22×C43—21no—
903C22×C43—21no—
904C22×C43—21no—
905C22×C43—21no—
906C22×C43—41no—
907C22×C43—41no—
908C22×C43—41no—
909C22×C43—41no—
910C22×C43—41no—
911C22×C43—41no—
912C22×C43—162no—
913C22×C43C23×D411yescharacteristic
914C2×D43—21no—
915C2×D43—21no—
916C2×D43—21no—
917C2×D43—21no—
918C2×D43—21no—
919C2×D43—21no—
920C2×D43—21no—
921C2×D43—21no—
922C2×D43—21no—
923C2×D43—21no—
924C2×D43—44no—
925C2×D43—41no—
926C2×D43—41no—
927C2×D43—41no—
928C2×D43—82no—
929C2×D43—82no—
930C2×D43—162no—
931C2×D43—162no—
932C2×D43#53412yes—
933C2×D43#57712yes—
934C4×C43—21no—
935C4×C43—21no—
936C4×C43—21no—
937C4×C43—41no—
938C4×C43—41no—
939C4×C43—41no—
940C4×C43—41no—
941C4×C43—41no—
942C4×C43—41no—
943C4×C43C2×H(5,𝔽2)11yescharacteristic
944C4×C43C2×H(5,𝔽2)11yescharacteristic
945Dic43—21no—
946Dic43—21no—
947Dic43—21no—
948Dic43—41no—
949Dic43—41no—
950Dic43—41no—
951Dic43—41no—
952Dic43—41no—
953Dic43—41no—
954Dic43—41no—
955Dic43#53412yes—
956#3488—431no—
957C2×#536—431no—
958#3201—431no—
959#3201—431no—
960#3201—431no—
961#3201—431no—
962#3200—431no—
963#3200—431no—
964#3200—431no—
965#3200D4311yescharacteristic, complemented
966#3196—431no—
967#3196—431no—
968#3193—431no—
969#3193—431no—
970#3190—431no—
971#3190—431no—
972#3187—431no—
973#3187—431no—
974#3097—431no—
975#3097—431no—
976#3094—431no—
977#3091—431no—
978#3063—431no—
979#3063—431no—
980#3057—431no—
981#3057—431no—
982#3009—431no—
983#3009—431no—
984#3004—431no—
985C2×#448—431no—
986#2880—431no—
987C2×C43—41no—
988C2×C43—41no—
989C2×C43—41no—
990C2×C43—81no—
991C2×C43—81no—
992C2×C43C2×#53411yescharacteristic
993C2×C43C2×#57711yescharacteristic
994C2×C43#358611yescharacteristic
995D43—22no—
996D43—22no—
997D43—41no—
998D43—41no—
999D43—81no—
1000C2×H(5,𝔽2)—431no—
1001C22×#41—431no—
1002C23×Q8—431no—
1003C2×#137—431no—
1004C2×#137—431no—
1005C22×SD16—431no—
1006C22×SD16—431no—
1007C2×#131—431no—
1008C2×#131—431no—
1009#550—861no—
1010#548—861no—
1011#546—861no—
1012#546—861no—
1013#546—861no—
1014D42—861no—
1015D42—861no—
1016D42—861no—
1017#537—431no—
1018#537—431no—
1019#537—431no—
1020#536—431no—
1021#536—431no—
1022#536—431no—
1023#536—431no—
1024#536—431no—
1025#536—431no—
1026#536—431no—
1027#536—861no—
1028#536—861no—
1029#536—861no—
1030#536—861no—
1031#536C2×D4311yescharacteristic, complemented
1032#535—431no—
1033#535—431no—
1034#535C2×D4311yescharacteristic
1035C2×C4⋊Q8—861no—
1036C2×#124—861no—
1037#525—431no—
1038#525—431no—
1039#525—431no—
1040C2×#123—861no—
1041C2×#123—861no—
1042C2×C22⋊Q8—431no—
1043C2×C22⋊Q8—431no—
1044C2×C22⋊Q8—431no—
1045C2×C22⋊Q8—431no—
1046C2×#121—431no—
1047C2×#121—431no—
1048C2×#121—431no—
1049#520—431no—
1050C2×#117—431no—
1051#485—431no—
1052#485—431no—
1053#485—431no—
1054#485—431no—
1055#485—431no—
1056#485—431no—
1057#485—431no—
1058#485—431no—
1059#485C2×D4311yescharacteristic, complemented
1060#485C2×D4311yescharacteristic, complemented
1061#484—431no—
1062#484—431no—
1063#484—431no—
1064#484—431no—
1065#484—431no—
1066#483—431no—
1067#483—431no—
1068#483—431no—
1069#483—431no—
1070#483—431no—
1071#482—431no—
1072#482—431no—
1073#482—431no—
1074#482—431no—
1075#482C2×D4311yescharacteristic, complemented
1076#482C2×D4311yescharacteristic, complemented
1077#481—431no—
1078#481—431no—
1079#481—431no—
1080#480—431no—
1081#480—431no—
1082#480—431no—
1083#470—431no—
1084#470—431no—
1085#470—431no—
1086#470—431no—
1087#468—431no—
1088#468—431no—
1089#468—431no—
1090#468—431no—
1091#468—431no—
1092#468—431no—
1093#468—431no—
1094#468—431no—
1095#468—431no—
1096#468—431no—
1097#468C2×D4311yescharacteristic, complemented
1098#468C2×D4311yescharacteristic, complemented
1099#467—431no—
1100#467—431no—
1101#467—431no—
1102#467—431no—
1103#465—431no—
1104#465—431no—
1105#465—431no—
1106#465—431no—
1107#465—431no—
1108#465—431no—
1109#465—431no—
1110#465—431no—
1111#465—431no—
1112#465—431no—
1113#465C2×D4311yescharacteristic, complemented
1114#465C2×D4311yescharacteristic, complemented
1115#452—431no—
1116#452—431no—
1117#452—431no—
1118#452—431no—
1119#452—431no—
1120#452—431no—
1121#452—431no—
1122#452—431no—
1123#451—431no—
1124#451—431no—
1125#451—431no—
1126#451—431no—
1127#450—431no—
1128#450—431no—
1129#450—431no—
1130#450—431no—
1131#450—431no—
1132#450—431no—
1133#450C2×D4311yescharacteristic, complemented
1134#450C2×D4311yescharacteristic, complemented
1135#448—431no—
1136#448—431no—
1137#448—431no—
1138#448—431no—
1139#448—431no—
1140#448—431no—
1141#448—431no—
1142#448—431no—
1143#448—431no—
1144#448—431no—
1145#448C2×D4311yescharacteristic, complemented
1146#448C2×D4311yescharacteristic, complemented
1147#428—431no—
1148#428—431no—
1149#427—431no—
1150#427—431no—
1151#419—431no—
1152#419—431no—
1153#418—431no—
1154#418—431no—
1155#416—431no—
1156#416—431no—
1157C2×#103—431no—
1158C2×#103—431no—
1159#408—431no—
1160#408—431no—
1161#408—431no—
1162#408—431no—
1163#408—431no—
1164#408C2×D4311yescharacteristic, complemented
1165#407—431no—
1166#407—431no—
1167#407—431no—
1168C2×C22⋊C8—431no—
1169C2×C22⋊C8—431no—
1170C2×C22⋊C8—431no—
1171C43#6075811yescharacteristic, complemented, Sylow
1172H(5,𝔽2)—1722no—
1173H(5,𝔽2)—1722no—
1174C2×#41—431no—
1175C2×#41—431no—
1176C2×#41—431no—
1177C2×#41—431no—
1178C2×#41—431no—
1179C2×#41—431no—
1180C2×#41—431no—
1181C2×#41—431no—
1182C2×#41—431no—
1183C2×#41—431no—
1184C2×#41—861no—
1185C2×#41—1722no—
1186C2×#41—1722no—
1187C2×#41C22×D4311yescharacteristic
1188C22×Q8—431no—
1189C22×Q8—431no—
1190C22×Q8—431no—
1191C22×Q8—431no—
1192C22×Q8—431no—
1193C22×Q8—431no—
1194C22×Q8—861no—
1195C22×Q8—861no—
1196C22×Q8—861no—
1197C22×Q8—1722no—
1198C22×Q8—1722no—
1199C22×Q8C22×D4311yescharacteristic
1200C22×D4—431no—
1201C22×D4—431no—
1202C22×D4—431no—
1203C22×D4—431no—
1204C22×D4—431no—
1205C22×D4—861no—
1206C22×D4—861no—
1207C22×D4—861no—
1208C22×D4—861no—
1209C22×D4—861no—
1210C22×D4—861no—
1211C22×D4C22×D4311yescharacteristic
1212C23×C4—431no—
1213C23×C4—431no—
1214C23×C4—431no—
1215C23×C4—861no—
1216#137—1722no—
1217#137—1722no—
1218C2×Q16—431no—
1219C2×Q16—431no—
1220C2×Q16—431no—
1221C2×Q16—431no—
1222C2×SD16—431no—
1223C2×SD16—431no—
1224C2×SD16—431no—
1225C2×SD16—431no—
1226C2×SD16—431no—
1227C2×SD16—431no—
1228C2×SD16—431no—
1229C2×SD16—431no—
1230C2×SD16—1722no—
1231C2×SD16—1722no—
1232C2×SD16C22×D4311yescharacteristic
1233C2×SD16C22×D4311yescharacteristic
1234C2×SD16C22×D4311yescharacteristic
1235C2×SD16C22×D4311yescharacteristic
1236#131—1722no—
1237#131—1722no—
1238C2×M16—431no—
1239C2×M16—431no—
1240C2×M16—431no—
1241C2×M16—431no—
1242C2×M16—431no—
1243C2×M16C22×D4311yescharacteristic
1244C22×C8—431no—
1245C22×C8—431no—
1246C22×C8—431no—
1247C22×C8—431no—
1248C22×C8—431no—
1249C22×C8C22×D4311yescharacteristic
1250C4⋊Q8—21no—
1251C4⋊Q8—861no—
1252C4⋊Q8—861no—
1253C4⋊Q8—861no—
1254C4⋊Q8—861no—
1255C4⋊Q8—861no—
1256C4⋊Q8—861no—
1257C4⋊Q8—861no—
1258#127—21no—
1259#127—861no—
1260#127—861no—
1261#124—21no—
1262#124—21no—
1263#124—861no—
1264#124—861no—
1265#124—861no—
1266#124—861no—
1267#124—861no—
1268#124—861no—
1269#124—861no—
1270#124—861no—
1271#124—861no—
1272#123—21no—
1273#123—21no—
1274#123—861no—
1275#123—861no—
1276#123—861no—
1277#123—861no—
1278#123—861no—
1279#123—861no—
1280#123—861no—
1281#123—861no—
1282#123—861no—
1283#123—861no—
1284#123—861no—
1285#123—861no—
1286#123—861no—
1287#123—861no—
1288#123—861no—
1289#123—861no—
1290#123—861no—
1291C22⋊Q8—431no—
1292C22⋊Q8—431no—
1293C22⋊Q8—431no—
1294C22⋊Q8—431no—
1295C22⋊Q8—431no—
1296C22⋊Q8—431no—
1297C22⋊Q8—431no—
1298C22⋊Q8—431no—
1299C22⋊Q8—431no—
1300C22⋊Q8—431no—
1301C22⋊Q8—431no—
1302C22⋊Q8—431no—
1303C22⋊Q8—431no—
1304C22⋊Q8—431no—
1305C22⋊Q8—431no—
1306C22⋊Q8—431no—
1307C22⋊Q8—861no—
1308C22⋊Q8—861no—
1309C22⋊Q8—861no—
1310C22⋊Q8—861no—
1311C22⋊Q8—861no—
1312C22⋊Q8—861no—
1313C22⋊Q8—861no—
1314C22⋊Q8—861no—
1315C22⋊Q8—861no—
1316C22⋊Q8—861no—
1317C22⋊Q8—861no—
1318C22⋊Q8C22×D4311yescharacteristic
1319C22⋊Q8C22×D4311yescharacteristic
1320C22⋊Q8C22×D4311yescharacteristic
1321C22⋊Q8C22×D4311yescharacteristic
1322#121—431no—
1323#121—431no—
1324#121—431no—
1325#121—431no—
1326#121—431no—
1327#121—431no—
1328#121—431no—
1329#121—431no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121—861no—
1334#121—861no—
1335#121—861no—
1336#121—861no—
1337#121—861no—
1338#121—861no—
1339#121—861no—
1340#121—861no—
1341#121—861no—
1342#121—861no—
1343#121—861no—
1344#121—861no—
1345#121C22×D4311yescharacteristic
1346#121C22×D4311yescharacteristic
1347#121C22×D4311yescharacteristic
1348#121C22×D4311yescharacteristic
1349#120—21no—
1350#120—21no—
1351#120—861no—
1352#120—861no—
1353#120—861no—
1354#120—861no—
1355#120—861no—
1356#120—861no—
1357#120—861no—
1358C4×Q8—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4—861no—
1364C4×D4—861no—
1365C4×D4—861no—
1366C4×D4—861no—
1367C4×D4—861no—
1368#117—431no—
1369#117—431no—
1370#117—431no—
1371#117—431no—
1372#117—431no—
1373#117—861no—
1374#117—861no—
1375#117C22×D4311yescharacteristic
1376#117C22×D4311yescharacteristic
1377C2×C4⋊C4—431no—
1378C2×C4⋊C4—431no—
1379C2×C4⋊C4—431no—
1380C2×C4⋊C4—431no—
1381C2×C4⋊C4—431no—
1382C2×C4⋊C4—861no—
1383C2×C4⋊C4—861no—
1384C2×C4⋊C4—861no—
1385C2×C4⋊C4—861no—
1386C2×C22⋊C4—861no—
1387C2×C22⋊C4—861no—
1388C2×C22⋊C4—861no—
1389C2×C22⋊C4—861no—
1390C2×C22⋊C4—861no—
1391C2×C22⋊C4—861no—
1392C2×C22⋊C4—861no—
1393C2×C22⋊C4—861no—
1394C2×C42—861no—
1395#107—431no—
1396#107—431no—
1397#107—431no—
1398#107—431no—
1399#107—431no—
1400#107—431no—
1401#107C22×D4311yescharacteristic
1402#107C22×D4311yescharacteristic
1403#106—431no—
1404#106—431no—
1405#106—431no—
1406#106—431no—
1407#106—431no—
1408#106—431no—
1409#106C22×D4311yescharacteristic
1410#106C22×D4311yescharacteristic
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103—431no—
1415#103—431no—
1416#103—431no—
1417#103—431no—
1418#103—431no—
1419#103—431no—
1420#103—431no—
1421#103—431no—
1422#103—431no—
1423#103—431no—
1424#103—431no—
1425#103—431no—
1426#103—431no—
1427#103C22×D4311yescharacteristic
1428#103C22×D4311yescharacteristic
1429#103C22×D4311yescharacteristic
1430#103C22×D4311yescharacteristic
1431#102—431no—
1432#102—431no—
1433#102—431no—
1434#102—431no—
1435#102—431no—
1436#102—431no—
1437#102—431no—
1438#102—431no—
1439#102C22×D4311yescharacteristic
1440#102C22×D4311yescharacteristic
1441#102C22×D4311yescharacteristic
1442#102C22×D4311yescharacteristic
1443C22⋊C8—431no—
1444C22⋊C8—431no—
1445C22⋊C8—431no—
1446C22⋊C8—431no—
1447C22⋊C8—431no—
1448C22⋊C8—431no—
1449C22⋊C8—431no—
1450C22⋊C8—431no—
1451C22⋊C8—431no—
1452C22⋊C8—431no—
1453C22⋊C8—431no—
1454C22⋊C8—431no—
1455C22⋊C8C22×D4311yescharacteristic
1456C22⋊C8C22×D4311yescharacteristic
1457C22⋊C8C22×D4311yescharacteristic
1458C22⋊C8C22×D4311yescharacteristic
1459C24—21no—
1460C24—431no—
1461C24—431no—
1462C24—431no—
1463C24—861no—
1464C24—861no—
1465#41—41no—
1466#41—41no—
1467#41—862no—
1468#41—862no—
1469#41—862no—
1470#41—862no—
1471#41—862no—
1472#41—862no—
1473#41—1721no—
1474#41—1721no—
1475#41—1721no—
1476#41—1721no—
1477#41—1721no—
1478#41—1721no—
1479#41—1722no—
1480#41—1722no—
1481#41—1722no—
1482#41—1722no—
1483#41—1724no—
1484C2×Q8—21no—
1485C2×Q8—41no—
1486C2×Q8—41no—
1487C2×Q8—431no—
1488C2×Q8—431no—
1489C2×Q8—431no—
1490C2×Q8—431no—
1491C2×Q8—431no—
1492C2×Q8—431no—
1493C2×Q8—861no—
1494C2×Q8—861no—
1495C2×Q8—861no—
1496C2×Q8—861no—
1497C2×Q8—862no—
1498C2×Q8—862no—
1499C2×Q8—862no—
1500C2×Q8—862no—
1501C2×Q8—861no—
1502C2×Q8—1721no—
1503C2×Q8—1721no—
1504C2×Q8—1724no—
1505C2×Q8—1721no—
1506C2×Q8—1721no—
1507C2×Q8—1721no—
1508C2×Q8—1721no—
1509C2×Q8—1722no—
1510C2×Q8—1724no—
1511C2×Q8—1724no—
1512C2×Q8D4×D4311yescharacteristic
1513C2×Q8C23×D4311yescharacteristic
1514C2×Q8C23×D4311yescharacteristic
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—431no—
1523C2×D4—431no—
1524C2×D4—431no—
1525C2×D4—431no—
1526C2×D4—431no—
1527C2×D4—431no—
1528C2×D4—431no—
1529C2×D4—431no—
1530C2×D4—431no—
1531C2×D4—431no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—862no—
1535C2×D4—862no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—861no—
1541C2×D4—861no—
1542C2×D4—861no—
1543C2×D4—861no—
1544C2×D4—861no—
1545C2×D4—861no—
1546C2×D4—861no—
1547C2×D4—3442no—
1548C2×D4—3442no—
1549C2×D4—3442no—
1550C2×D4—1721no—
1551C2×D4—1721no—
1552C2×D4—1722no—
1553C2×D4—1722no—
1554C2×D4—1722no—
1555C2×D4—1724no—
1556C2×D4—1724no—
1557C2×D4—1724no—
1558C2×D4D4×D4311yescharacteristic
1559C2×D4D4×D4311yescharacteristic
1560C2×D4D4×D4311yescharacteristic
1561C2×D4C23×D4311yescharacteristic
1562C2×D4C23×D4311yescharacteristic
1563C22×C4—21no—
1564C22×C4—431no—
1565C22×C4—431no—
1566C22×C4—431no—
1567C22×C4—431no—
1568C22×C4—431no—
1569C22×C4—431no—
1570C22×C4—431no—
1571C22×C4—431no—
1572C22×C4—431no—
1573C22×C4—431no—
1574C22×C4—431no—
1575C22×C4—431no—
1576C22×C4—431no—
1577C22×C4—862no—
1578C22×C4—862no—
1579C22×C4—861no—
1580C22×C4—861no—
1581C22×C4—861no—
1582C22×C4—861no—
1583C22×C4—861no—
1584C22×C4—861no—
1585C22×C4—861no—
1586C22×C4—861no—
1587C22×C4—861no—
1588C22×C4—861no—
1589C22×C4—861no—
1590C22×C4—861no—
1591C22×C4—861no—
1592C22×C4—1721no—
1593C22×C4—1721no—
1594C22×C4—1721no—
1595C22×C4—1721no—
1596C22×C4—1724no—
1597C22×C4C23×D4311yescharacteristic
1598C22×C4C23×D4311yescharacteristic
1599C22×C4C23×D4311yescharacteristic
1600Q16—1721no—
1601Q16—1721no—
1602Q16—1721no—
1603Q16—1721no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—41no—
1608SD16—1721no—
1609SD16—1721no—
1610SD16—1721no—
1611SD16—1721no—
1612SD16—1721no—
1613SD16—1721no—
1614SD16—1721no—
1615SD16—1721no—
1616M16—41no—
1617M16—862no—
1618M16—862no—
1619M16—1721no—
1620M16—1721no—
1621M16—1721no—
1622C2×C8—41no—
1623C2×C8—431no—
1624C2×C8—431no—
1625C2×C8—431no—
1626C2×C8—431no—
1627C2×C8—862no—
1628C2×C8—862no—
1629C2×C8—1721no—
1630C2×C8—1721no—
1631C2×C8—1721no—
1632C2×C8C23×D4311yescharacteristic
1633C2×C8C23×D4311yescharacteristic
1634C2×C8C23×D4311yescharacteristic
1635C2×C8C23×D4311yescharacteristic
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—431no—
1641C4⋊C4—431no—
1642C4⋊C4—431no—
1643C4⋊C4—431no—
1644C4⋊C4—861no—
1645C4⋊C4—861no—
1646C4⋊C4—861no—
1647C4⋊C4—861no—
1648C4⋊C4—861no—
1649C4⋊C4—861no—
1650C4⋊C4—861no—
1651C4⋊C4—861no—
1652C4⋊C4—861no—
1653C4⋊C4—861no—
1654C4⋊C4—861no—
1655C4⋊C4—861no—
1656C4⋊C4—861no—
1657C4⋊C4—861no—
1658C4⋊C4—861no—
1659C4⋊C4—861no—
1660C4⋊C4—861no—
1661C4⋊C4—861no—
1662C4⋊C4—861no—
1663C4⋊C4—861no—
1664C4⋊C4—861no—
1665C4⋊C4C23×D4311yescharacteristic
1666C4⋊C4C23×D4311yescharacteristic
1667C4⋊C4C23×D4311yescharacteristic
1668C4⋊C4C23×D4311yescharacteristic
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—861no—
1680C22⋊C4—861no—
1681C22⋊C4—861no—
1682C22⋊C4—861no—
1683C22⋊C4—861no—
1684C22⋊C4—861no—
1685C22⋊C4—861no—
1686C22⋊C4—861no—
1687C22⋊C4—861no—
1688C22⋊C4—861no—
1689C22⋊C4—861no—
1690C22⋊C4—861no—
1691C22⋊C4—861no—
1692C22⋊C4—861no—
1693C22⋊C4—861no—
1694C22⋊C4—861no—
1695C22⋊C4—861no—
1696C22⋊C4—861no—
1697C22⋊C4—861no—
1698C22⋊C4—861no—
1699C22⋊C4—861no—
1700C22⋊C4—861no—
1701C22⋊C4—861no—
1702C22⋊C4—861no—
1703C22⋊C4—861no—
1704C22⋊C4—861no—
1705C22⋊C4—861no—
1706C22⋊C4—861no—
1707C22⋊C4—861no—
1708C42—21no—
1709C42—21no—
1710C42—861no—
1711C42—861no—
1712C42—861no—
1713C42—861no—
1714C42—861no—
1715C23—21no—
1716C23—21no—
1717C23—42no—
1718C23—81no—
1719C23—81no—
1720C23—431no—
1721C23—431no—
1722C23—431no—
1723C23—431no—
1724C23—862no—
1725C23—862no—
1726C23—862no—
1727C23—862no—
1728C23—861no—
1729C23—3441no—
1730C23—3441no—
1731C23—3441no—
1732C23—3441no—
1733C23—1721no—
1734C23—1721no—
1735C23—1721no—
1736C23—1721no—
1737C23—1721no—
1738C23—1722no—
1739C23—1722no—
1740C23C2×D4×D4311yescharacteristic
1741C23C2×D4×D4311yescharacteristic
1742C23C2×D4×D4311yescharacteristic
1743Q8—21no—
1744Q8—21no—
1745Q8—21no—
1746Q8—21no—
1747Q8—41no—
1748Q8—42no—
1749Q8—862no—
1750Q8—862no—
1751Q8—861no—
1752Q8—861no—
1753Q8—861no—
1754Q8—861no—
1755Q8—861no—
1756Q8—861no—
1757Q8—1721no—
1758Q8—1722no—
1759Q8—1722no—
1760Q8—1722no—
1761Q8—1722no—
1762Q8—1722no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—862no—
1776D4—862no—
1777D4—862no—
1778D4—862no—
1779D4—862no—
1780D4—862no—
1781D4—861no—
1782D4—861no—
1783D4—3441no—
1784D4—3441no—
1785D4—3441no—
1786D4—3441no—
1787D4—3441no—
1788D4—1721no—
1789D4—1722no—
1790D4—1722no—
1791D4—1721no—
1792D4—1721no—
1793D4—1722no—
1794D4—1722no—
1795D4—1722no—
1796D4—1722no—
1797D4—1722no—
1798D4—1722no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—42no—
1812C2×C4—431no—
1813C2×C4—432no—
1814C2×C4—432no—
1815C2×C4—431no—
1816C2×C4—431no—
1817C2×C4—431no—
1818C2×C4—862no—
1819C2×C4—862no—
1820C2×C4—862no—
1821C2×C4—861no—
1822C2×C4—861no—
1823C2×C4—861no—
1824C2×C4—861no—
1825C2×C4—861no—
1826C2×C4—861no—
1827C2×C4—861no—
1828C2×C4—861no—
1829C2×C4—861no—
1830C2×C4—861no—
1831C2×C4—861no—
1832C2×C4—861no—
1833C2×C4—861no—
1834C2×C4—3441no—
1835C2×C4—3441no—
1836C2×C4—3441no—
1837C2×C4—1721no—
1838C2×C4—1721no—
1839C2×C4—1721no—
1840C2×C4—1721no—
1841C2×C4—1722no—
1842C2×C4—1722no—
1843C2×C4—1722no—
1844C2×C4—1722no—
1845C2×C4—1722no—
1846C2×C4—1722no—
1847C2×C4—1722no—
1848C2×C4—1722no—
1849C2×C4—1721no—
1850C2×C4—1721no—
1851C2×C4—1722no—
1852C2×C4—1722no—
1853C2×C4C2×D4×D4311yescharacteristic
1854C2×C4C2×D4×D4311yescharacteristic
1855C2×C4C2×D4×D4311yescharacteristic
1856C2×C4C24×D4311yescharacteristic
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—861no—
1862C8—861no—
1863C8—861no—
1864C8—861no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—162no—
1881C22—432no—
1882C22—432no—
1883C22—861no—
1884C22—861no—
1885C22—861no—
1886C22—861no—
1887C22—861no—
1888C22—861no—
1889C22—861no—
1890C22—861no—
1891C22—861no—
1892C22—861no—
1893C22—3442no—
1894C22—3442no—
1895C22—1724no—
1896C22—1721no—
1897C22—1721no—
1898C22—1721no—
1899C22—6882no—
1900C22—6882no—
1901C22C22×D4×D4311yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—432no—
1912C4—861no—
1913C4—861no—
1914C4—861no—
1915C4—1721no—
1916C4—1721no—
1917C4—1721no—
1918C4—1721no—
1919C4—1721no—
1920C4—1721no—
1921C4—1721no—
1922C4H(5,𝔽2)×D4311yescharacteristic
1923C4H(5,𝔽2)×D4311yescharacteristic
1924C2—41no—
1925C2—41no—
1926C2—41no—
1927C2—81no—
1928C2—81no—
1929C2—862no—
1930C2—862no—
1931C2—3441no—
1932C2—1721no—
1933C2—1721no—
1934C2#534×D4311yescharacteristic
1935C2#577×D4311yescharacteristic
1936C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3200C2
socleC22×C43C23×D4
prime radical#19148262C2
hypercenter#3200D43
hypocenterC43#60758
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3200

Complements

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

NH ≅ G/Ntype
2. #536×D43C2semidirect
3. #19145479C2semidirect
4. #19145477C2semidirect
5. #19145475C2semidirect
6. #19145473C2semidirect
7. #19145469C2semidirect
8. #19145467C2semidirect
9. #19145465C2semidirect
10. #19145429C2semidirect
11. #19145420C2semidirect
12. #19145398C2semidirect
13. #19145396C2semidirect
14. #19145380C2semidirect
15. #19145371C2semidirect
16. #19145349C2semidirect
17. #19145347C2semidirect
18. #19144561C2semidirect
19. #19144559C2semidirect
20. #19144534C2semidirect
21. #19144507C2semidirect
22. #19144281C2semidirect
23. #19144279C2semidirect
24. #19144232C2semidirect
25. #19144229C2semidirect
26. #19143867C2semidirect
27. #19143867C2semidirect
28. #19143826C2semidirect
29. #448×D43C2semidirect
30. #19143043C2semidirect
31. C43×#3200C2semidirect
34. C22×Q8×D43C22semidirect
35. C2×#13063354C22semidirect
36. C2×#13063354C22semidirect
37. C2×SD16×D43C22semidirect
38. C2×SD16×D43C22semidirect
39. C2×#13063333C22semidirect
40. C2×#13063331C22semidirect
52. #14583475C22semidirect
54. #14583473C22semidirect
57. #14583472C22semidirect
58. #14583472C22semidirect
61. #14583470C22semidirect
72. C22⋊Q8×D43C22semidirect
73. C22⋊Q8×D43C22semidirect
74. C22⋊Q8×D43C22semidirect
75. C22⋊Q8×D43C22semidirect
80. #117×D43C22semidirect
81. #14583243C22semidirect
82. #14583242C22semidirect
83. #14583241C22semidirect
84. #14583240C22semidirect
85. #14583240C22semidirect
86. #14583240C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583236C22semidirect
90. #14583236C22semidirect
91. #14583235C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583231C22semidirect
95. #14583231C22semidirect
96. #14583230C22semidirect
97. #14583228C22semidirect
98. #14583227C22semidirect
99. #14583224C22semidirect
100. #14583223C22semidirect
101. #14583220C22semidirect
102. #14583220C22semidirect
103. #14583219C22semidirect
104. #14583216C22semidirect
105. #14583216C22semidirect
106. #14583214C22semidirect
107. #14583211C22semidirect
108. #14583211C22semidirect
109. #14583158C22semidirect
110. #14583157C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
113. #14583148C22semidirect
114. #14583147C22semidirect
115. #14583146C22semidirect
116. #14583145C22semidirect
117. #14583144C22semidirect
118. #14583144C22semidirect
119. #14583143C22semidirect
120. #14583143C22semidirect
121. #14583142C22semidirect
122. #14583142C22semidirect
123. #14583141C22semidirect
124. #14583140C22semidirect
125. #14583139C22semidirect
126. #14583138C22semidirect
127. #14583131C22semidirect
128. #14583130C22semidirect
129. #14583129C22semidirect
130. #14583128C22semidirect
131. #14583127C22semidirect
132. #14583127C22semidirect
133. #14583126C22semidirect
134. #14583126C22semidirect
135. #14583125C22semidirect
136. #14583125C22semidirect
137. #14583063C22semidirect
138. #14583063C22semidirect
139. #14583062C22semidirect
140. #14583062C22semidirect
141. #14583059C22semidirect
142. #14583059C22semidirect
143. #14583058C22semidirect
144. #14583058C22semidirect
145. #14583057C22semidirect
146. #14583056C22semidirect
147. #14583056C22semidirect
148. #14583055C22semidirect
149. #14583051C22semidirect
150. #14583051C22semidirect
151. #14583050C22semidirect
152. #14583050C22semidirect
153. #14583048C22semidirect
154. #14583048C22semidirect
155. #14583040C22semidirect
156. #14583039C22semidirect
157. #14583039C22semidirect
158. #14583038C22semidirect
159. #14583037C22semidirect
160. #14583037C22semidirect
161. #14583036C22semidirect
162. #14583036C22semidirect
163. #14583036C22semidirect
164. #14583036C22semidirect
165. #14582940C22semidirect
166. #14582938C22semidirect
167. #14582936C22semidirect
168. #14582934C22semidirect
169. #14582906C22semidirect
170. #14582906C22semidirect
171. #14582902C22semidirect
172. #14582902C22semidirect
173. #14582892C22semidirect
174. #14582892C22semidirect
175. #103×D43C22semidirect
176. #103×D43C22semidirect
177. #14582866C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
182. #14582862C22semidirect
183. #14582861C22semidirect
184. #14582861C22semidirect
185. C2×(C2×D43)⋊C8C22semidirect
186. C22⋊C8×D43C22semidirect
187. C22⋊C8×D43C22semidirect
188. C43×#536C22semidirect
190. C43×#485C22semidirect
191. C43×#485C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#468C22semidirect
195. C43×#468C22semidirect
196. C43×#465C22semidirect
197. C43×#465C22semidirect
198. C43×#450C22semidirect
199. C43×#450C22semidirect
200. C43×#448C22semidirect
201. C43×#448C22semidirect
202. C43×#408C22semidirect
965. #3200D43semidirect
1031. #536C2×D43semidirect
1059. #485C2×D43semidirect
1060. #485C2×D43semidirect
1075. #482C2×D43semidirect
1076. #482C2×D43semidirect
1097. #468C2×D43semidirect
1098. #468C2×D43semidirect
1113. #465C2×D43semidirect
1114. #465C2×D43semidirect
1133. #450C2×D43semidirect
1134. #450C2×D43semidirect
1145. #448C2×D43semidirect
1146. #448C2×D43semidirect
1164. #408C2×D43semidirect
1171. C43#60758semidirect

Maximal subgroups

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

subgroupindex
#191482622
#536×D432
#191454792
#191454772
#191454752
#191454732
#191454692
#191454672
#191454652
#191454292
#191454202
#191453982
#191453962
#191453802
#191453712
#191453492
#191453472
#191445612
#191445592
#191445342
#191445072
#191442812
#191442792
#191442322
#191442292
#191438672
#191438262
#448×D432
#191430432
C43×#32002
#6075843