Finite Group Databasebeta

← #25967510

Subgroups — #25967510

Order 11008.

2140 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148273C211yesmaximal, characteristic, complemented
2#19147923C211yesmaximal, characteristic, complemented
3#19145505C211yesmaximal, characteristic, complemented
4#19145501C211yesmaximal, characteristic, complemented
5#19145497C211yesmaximal, characteristic, complemented
6#19145496C211yesmaximal, characteristic, complemented
7#19145482C211yesmaximal, characteristic, complemented
8#19145477C211yesmaximal, characteristic, complemented
9#19145476C211yesmaximal, characteristic, complemented
10#19145439C211yesmaximal, characteristic, complemented
11#19145433C211yesmaximal, characteristic, complemented
12#19145426C211yesmaximal, characteristic, complemented
13#19145422C211yesmaximal, characteristic, complemented
14#19145389C211yesmaximal, characteristic, complemented
15#19145386C211yesmaximal, characteristic, complemented
16#19145379C211yesmaximal, characteristic, complemented
17#19145371C211yesmaximal, characteristic, complemented
18#19144559C211yesmaximal, characteristic, complemented
19#19144550C211yesmaximal, characteristic, complemented
20#19144538C211yesmaximal, characteristic, complemented
21#19144511C211yesmaximal, characteristic, complemented
22#19144283C211yesmaximal, characteristic, complemented
23#19144268C211yesmaximal, characteristic, complemented
24#19144245C211yesmaximal, characteristic, complemented
25#19144232C211yesmaximal, characteristic, complemented
26#19143885C211yesmaximal, characteristic, complemented
27#19143876C211yesmaximal, characteristic, complemented
28#19143838C211yesmaximal, characteristic, complemented
29#452×D43C211yesmaximal, characteristic, complemented
30#19143043C211yesmaximal, characteristic, complemented
31C43×#3201C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063352C2211yescharacteristic, complemented
37C2×Q16×D43C2211yescharacteristic, complemented
38C2×SD16×D43C2211yescharacteristic, complemented
39C2×#13063333C2211yescharacteristic
40C2×#13063331C2211yescharacteristic
41#14583564—21no—
42#14583557—21no—
43#14583552—21no—
44#14583547—21no—
45#14583547—21no—
46#14583542—21no—
47#14583541—21no—
48#14583541—21no—
49#14583480C2211yescharacteristic
50#14583479C2211yescharacteristic
51#14583479C2211yescharacteristic, complemented
52#14583477C2211yescharacteristic
53#14583477C2211yescharacteristic
54#14583477C2211yescharacteristic, complemented
55#14583472—21no—
56#14583472C2211yescharacteristic
57#14583472C2211yescharacteristic
58#14583472C2211yescharacteristic
59#14583472C2211yescharacteristic, complemented
60#14583465—21no—
61#14583465C2211yescharacteristic
62#14583465C2211yescharacteristic
63#14583457—21no—
64#14583457—21no—
65#14583444—21no—
66#14583444—21no—
67#14583412—21no—
68#14583412C2211yescharacteristic
69#14583412C2211yescharacteristic
70#14583412C2211yescharacteristic
71#14583412C2211yescharacteristic, complemented
72#14583411C2211yescharacteristic, complemented
73#14583409—21no—
74#14583409C2211yescharacteristic
75#14583409C2211yescharacteristic
76C2×#13063301C2211yescharacteristic, complemented
77C22⋊Q8×D43C2211yescharacteristic
78C22⋊Q8×D43C2211yescharacteristic, complemented
79#14583379C2211yescharacteristic
80C2×#13063283C2211yescharacteristic
81#14583243C2211yescharacteristic, complemented
82#14583243C2211yescharacteristic, complemented
83#14583242C2211yescharacteristic, complemented
84#14583240C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583233C2211yescharacteristic, complemented
93#14583232C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583229C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic, complemented
97#14583227C2211yescharacteristic, complemented
98#14583226C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic, complemented
100#14583226C2211yescharacteristic, complemented
101#14583223C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583219C2211yescharacteristic, complemented
104#14583217C2211yescharacteristic, complemented
105#14583215C2211yescharacteristic, complemented
106#14583213C2211yescharacteristic, complemented
107#14583213C2211yescharacteristic, complemented
108#14583211C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583155C2211yescharacteristic, complemented
114#14583153C2211yescharacteristic, complemented
115#14583150C2211yescharacteristic, complemented
116#14583148C2211yescharacteristic, complemented
117#14583147C2211yescharacteristic, complemented
118#14583146C2211yescharacteristic, complemented
119#14583145C2211yescharacteristic, complemented
120#14583145C2211yescharacteristic, complemented
121#14583142C2211yescharacteristic, complemented
122#14583142C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583140C2211yescharacteristic, complemented
125#14583138C2211yescharacteristic, complemented
126#14583137C2211yescharacteristic, complemented
127#14583137C2211yescharacteristic, complemented
128#14583135C2211yescharacteristic, complemented
129#14583134C2211yescharacteristic, complemented
130#14583131C2211yescharacteristic, complemented
131#14583131C2211yescharacteristic, complemented
132#14583130C2211yescharacteristic, complemented
133#14583130C2211yescharacteristic, complemented
134#14583129C2211yescharacteristic, complemented
135#14583127C2211yescharacteristic, complemented
136#14583126C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic
138#14583064C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic, complemented
140#14583063C2211yescharacteristic, complemented
141#14583062C2211yescharacteristic
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic
144#14583060C2211yescharacteristic
145#14583060C2211yescharacteristic, complemented
146#14583059C2211yescharacteristic, complemented
147#14583059C2211yescharacteristic, complemented
148#14583059C2211yescharacteristic, complemented
149#14583058C2211yescharacteristic
150#14583058C2211yescharacteristic
151#14583056C2211yescharacteristic, complemented
152#14583055C2211yescharacteristic, complemented
153#14583053C2211yescharacteristic, complemented
154#14583047C2211yescharacteristic
155#14583047C2211yescharacteristic, complemented
156#14583046C2211yescharacteristic, complemented
157#14583046C2211yescharacteristic, complemented
158#14583045C2211yescharacteristic
159#14583044C2211yescharacteristic, complemented
160#14583043C2211yescharacteristic, complemented
161#14583042C2211yescharacteristic, complemented
162#14583039C2211yescharacteristic, complemented
163#14583038C2211yescharacteristic, complemented
164#14583036C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic, complemented
168#14582936C2211yescharacteristic, complemented
169#14582906C2211yescharacteristic, complemented
170#14582906C2211yescharacteristic, complemented
171#14582906C2211yescharacteristic, complemented
172#14582902C2211yescharacteristic, complemented
173#14582894C2211yescharacteristic, complemented
174#14582894C2211yescharacteristic, complemented
175#103×D43C2211yescharacteristic, complemented
176#102×D43C2211yescharacteristic, complemented
177#14582866C2211yescharacteristic, complemented
178#14582864C2211yescharacteristic
179#14582864C2211yescharacteristic
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582862C2211yescharacteristic, complemented
183#14582861C2211yescharacteristic
184#14582861C2211yescharacteristic, complemented
185C2×(C2×D43)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic
187C22⋊C8×D43C2211yescharacteristic, complemented
188C43×#537C2211yescharacteristic
189C43×#536C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C43×#451C2211yescharacteristic, complemented
201C43×#448C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902D411yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621898C2311yescharacteristic
216C2×#10621898C2311yescharacteristic
217C2×#10621898C2311yescharacteristic
218C2×#10621900—21no—
219C2×#10621900D411yescharacteristic
220C2×#10621900D411yescharacteristic
221C2×#10621900D411yescharacteristic
222C2×#10621900C2311yescharacteristic
223#41×D43—42no—
224#41×D43—42no—
225#41×D43—42no—
226#41×D43—42no—
227C2×Q8×D43—21no—
228C2×Q8×D43D411yescharacteristic
229C2×Q8×D43C2311yescharacteristic
230C2×Q8×D43C2311yescharacteristic
231C2×Q8×D43C2311yescharacteristic
232C2×D4×D43—21no—
233C2×D4×D43D411yescharacteristic
234C2×D4×D43D411yescharacteristic
235C2×D4×D43D411yescharacteristic
236C2×D4×D43C2311yescharacteristic
237C22×C4×D43—21no—
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240C22×C4×D43C2311yescharacteristic
241#13063357—42no—
242#13063352—42no—
243C2×Dic172C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247Q16×D43—42no—
248C2×#10621873C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621884C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254SD16×D43—42no—
255C2×D344C2311yescharacteristic
256C2×#10621882C2311yescharacteristic
257#13063333—42no—
258#13063331—42no—
259C2×#10621877C2311yescharacteristic
260C2×#10621872C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C22×C43⋊C8C2311yescharacteristic
265C2×C8×D43C2311yescharacteristic
266C2×C8×D43C2311yescharacteristic
267C2×C8×D43C2311yescharacteristic
268C2×C8×D43C2311yescharacteristic
269#13063324—21no—
270#13063324—21no—
271#13063324—21no—
272#13063324—21no—
273#13063321—21no—
274#13063321—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063309—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063305—21no—
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063305C2311yescharacteristic
300#13063305C2311yescharacteristic
301#13063304—21no—
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063304C2311yescharacteristic
305#13063304C2311yescharacteristic
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063302—21no—
311#13063302—21no—
312#13063301—21no—
313#13063301—21no—
314#13063301—21no—
315#13063301—21no—
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063301C2311yescharacteristic
321#13063301C2311yescharacteristic
322#13063300—21no—
323#13063300—21no—
324#13063300—21no—
325#13063300C2311yescharacteristic
326#13063300C2311yescharacteristic
327#13063300C2311yescharacteristic
328#13063300C2311yescharacteristic
329#13063299—21no—
330#13063299—21no—
331#13063299—21no—
332#13063299C2311yescharacteristic
333#13063299C2311yescharacteristic
334#13063299C2311yescharacteristic
335#13063299C2311yescharacteristic
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063297—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063296—21no—
347#13063296—21no—
348#13063296C2311yescharacteristic
349#13063296C2311yescharacteristic
350#13063295—21no—
351#13063295—21no—
352#13063295—21no—
353#13063295—21no—
354#13063295—21no—
355#13063295—21no—
356#13063295—21no—
357#13063293—21no—
358#13063293—21no—
359#13063293—21no—
360#13063293—21no—
361C4×Dic86—21no—
362C4×D172—21no—
363C4×D172—21no—
364C4×D172—21no—
365D4×Dic43—21no—
366D4×Dic43—21no—
367#13063287—21no—
368#13063287—21no—
369#13063287—21no—
370#13063287—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379#13063283—21no—
380#13063283—21no—
381#13063283C2311yescharacteristic
382#13063283C2311yescharacteristic
383#13063283C2311yescharacteristic
384#13063283C2311yescharacteristic
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387C2×C4⋊Dic43C2311yescharacteristic
388C2×C4⋊Dic43C2311yescharacteristic
389C2×Dic43⋊C4—21no—
390C4⋊C4×D43—21no—
391C4⋊C4×D43—21no—
392C4⋊C4×D43C2311yescharacteristic
393C4⋊C4×D43C2311yescharacteristic
394C2×(C2×D43)⋊C4—21no—
395C2×(C2×D43)⋊C4—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C2×C4×Dic43—21no—
399#13063259C2311yescharacteristic
400#13063259C2311yescharacteristic
401#13063259C2311yescharacteristic
402#13063259C2311yescharacteristic
403#13063258C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409#13063256C2311yescharacteristic
410#13063256C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
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
448C2×#41×C43C2311yescharacteristic
449C22×Q8×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456C4⋊Q8×C43—21no—
457#124×C43—21no—
458#123×C43—21no—
459#123×C43—21no—
460C22⋊Q8×C43—21no—
461C22⋊Q8×C43C2311yescharacteristic
462C22⋊Q8×C43C2311yescharacteristic
463C22⋊Q8×C43C2311yescharacteristic
464C22⋊Q8×C43C2311yescharacteristic
465C22⋊Q8×C43C2311yescharacteristic
466C22⋊Q8×C43C2311yescharacteristic
467#121×C43—21no—
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#121×C43C2311yescharacteristic
472#117×C43C2311yescharacteristic
473C2×C4⋊C4×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#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492C23×D43C2×D411yescharacteristic
493C23×D43C2×D411yescharacteristic
494#41×C43—41no—
495#41×C43—41no—
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×Q8×C43C2411yescharacteristic
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43C2×D411yescharacteristic
509C2×D4×C43C2×D411yescharacteristic
510C2×D4×C43C2×D411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C2×C22⋊D43C2×D411yescharacteristic
531C2×C22⋊D43C2×D411yescharacteristic
532C2×C22⋊D43C2×D411yescharacteristic
533C2×C22⋊D43C2×D411yescharacteristic
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43C2×D411yescharacteristic
538C22×Dic43C2×D411yescharacteristic
539C22×Dic43C2×D411yescharacteristic
540#10621902—22no—
541#10621902—22no—
542#10621902—42no—
543#10621902—41no—
544#10621902—41no—
545#10621902—41no—
546#10621902—41no—
547#10621902—44no—
548Q8×D43—22no—
549Q8×D43—22no—
550Q8×D43—22no—
551Q8×D43—22no—
552Q8×D43—42no—
553Q8×D43—41no—
554Q8×D43—41no—
555Q8×D43—44no—
556#10621900—41no—
557#10621900—41no—
558#10621900—42no—
559#10621900—42no—
560#10621900—42no—
561#10621900—44no—
562D4×D43—22no—
563D4×D43—22no—
564D4×D43—42no—
565D4×D43—42no—
566D4×D43—44no—
567D4×D43—42no—
568#10621898—22no—
569#10621898—22no—
570#10621898—22no—
571#10621898—22no—
572#10621898—41no—
573#10621898—41no—
574#10621898—41no—
575#10621898—41no—
576#10621898—41no—
577#10621898—41no—
578#10621898—44no—
579#10621898—44no—
580#10621898—44no—
581C2×D172—21no—
582C2×D172—21no—
583C2×D172—21no—
584C2×D172—21no—
585C2×D172—21no—
586C2×D172—21no—
587C2×D172—21no—
588C2×D172C2×D411yescharacteristic
589C2×D172C2×D411yescharacteristic
590C2×D172C2×D411yescharacteristic
591C2×D172C2411yescharacteristic
592C2×D172C2411yescharacteristic
593C2×C4×D43—22no—
594C2×C4×D43—22no—
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—21no—
603C2×C4×D43—21no—
604C2×C4×D43—21no—
605C2×C4×D43—41no—
606C2×C4×D43—41no—
607C2×C4×D43—41no—
608C2×C4×D43—41no—
609C2×C4×D43—44no—
610C2×C4×D43C2×D411yescharacteristic
611C2×C4×D43C2×D411yescharacteristic
612C2×C4×D43C2×D411yescharacteristic
613C2×C4×D43C2×D411yescharacteristic
614C2×C4×D43C2×D411yescharacteristic
615C2×C4×D43C2×D411yescharacteristic
616C2×C4×D43C2411yescharacteristic
617C2×C4×D43C2411yescharacteristic
618C2×C4×D43C2411yescharacteristic
619C2×C4×D43C2411yescharacteristic
620C2×Dic86—21no—
621C2×Dic86—21no—
622C2×Dic86—21no—
623C2×Dic86C2×D411yescharacteristic
624C2×Dic86C2×D411yescharacteristic
625C2×Dic86C2×D411yescharacteristic
626C2×Dic86C2411yescharacteristic
627C2×Dic86C2411yescharacteristic
628Q16×C43—41no—
629Q16×C43—41no—
630SD16×C43—41no—
631SD16×C43—41no—
632M16×C43—41no—
633C2×C8×C43—41no—
634C2×C8×C43C2411yescharacteristic
635C2×C8×C43C2411yescharacteristic
636C2×C8×C43C2411yescharacteristic
637C2×C8×C43C2411yescharacteristic
638C4⋊C4×C43—21no—
639C4⋊C4×C43—21no—
640C4⋊C4×C43—21no—
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—
658C42×C43—21no—
659C22⋊Dic43—21no—
660C22⋊Dic43—21no—
661C22⋊Dic43—21no—
662C22⋊Dic43—21no—
663C22⋊Dic43—21no—
664C22⋊Dic43—21no—
665#10621885—41no—
666#10621885—41no—
667#10621885—41no—
668#10621884—41no—
669#10621884—41no—
670#10621884—41no—
671#10621883—41no—
672#10621882—41no—
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)⋊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—
697C4⋊Dic43—21no—
698C4⋊Dic43—21no—
699C4⋊Dic43—21no—
700C4⋊Dic43—21no—
701C4⋊Dic43—21no—
702C4⋊Dic43—21no—
703C4⋊Dic43C2411yescharacteristic
704C4⋊Dic43C2411yescharacteristic
705C4⋊Dic43C2411yescharacteristic
706C4⋊Dic43C2411yescharacteristic
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
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—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43—21no—
723C4×Dic43—21no—
724C4×Dic43—21no—
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731Dic172—41no—
732D344—41no—
733#10621873—41no—
734#10621873—41no—
735#10621872—22no—
736#10621872—22no—
737#10621872—41no—
738#10621872—41no—
739C8×D43—22no—
740C8×D43—22no—
741C8×D43—41no—
742C8×D43—41no—
743C23×C43—21no—
744C23×C43C22×D411yescharacteristic
745C23×C43C22×D411yescharacteristic
746C23×C43C22×D411yescharacteristic
747C22×D43—22no—
748C22×D43—21no—
749C22×D43—21no—
750C22×D43—41no—
751C22×D43—41no—
752C22×D43—41no—
753C22×D43—41no—
754C22×D43—41no—
755C22×D43—41no—
756C22×D43—41no—
757C22×D43—41no—
758C22×D43—42no—
759C22×D43—81no—
760C22×D43—81no—
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763C22×D43C22×D411yescharacteristic
764C22×D43C22×D411yescharacteristic
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—41no—
772Q8×C43—42no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—41no—
776D4×C43—41no—
777D4×C43—41no—
778D4×C43—42no—
779D4×C43—81no—
780D4×C43—81no—
781C2×C4×C43—21no—
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—21no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—42no—
795C2×C4×C43—42no—
796C2×C4×C43—81no—
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C22×D411yescharacteristic
799C2×C4×C43C22×D411yescharacteristic
800C2×C4×C43C2511yescharacteristic
801C22⋊D43—22no—
802C22⋊D43—22no—
803C22⋊D43—22no—
804C22⋊D43—22no—
805C22⋊D43—41no—
806C22⋊D43—41no—
807C22⋊D43—42no—
808C22⋊D43—42no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—81no—
812C22⋊D43—81no—
813C22⋊D43—81no—
814C22⋊D43—81no—
815C22⋊D43—81no—
816C22⋊D43—81no—
817C2×Dic43—22no—
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—81no—
828C2×Dic43—81no—
829C2×Dic43C22×D411yescharacteristic
830C2×Dic43C22×D411yescharacteristic
831C2×Dic43C22×D411yescharacteristic
832C2×Dic43C22×D411yescharacteristic
833D172—22no—
834D172—22no—
835D172—21no—
836D172—21no—
837D172—21no—
838D172—21no—
839D172—41no—
840D172—42no—
841D172—42no—
842D172—42no—
843D172—42no—
844D172—81no—
845D172—81no—
846D172—81no—
847C4×D43—22no—
848C4×D43—21no—
849C4×D43—21no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—22no—
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—42no—
864C4×D43—42no—
865C4×D43—42no—
866C4×D43—42no—
867C4×D43—81no—
868C4×D43—81no—
869C4×D43H(5,𝔽2)12yes—
870C4×D43H(5,𝔽2)12yes—
871Dic86—22no—
872Dic86—22no—
873Dic86—21no—
874Dic86—21no—
875Dic86—21no—
876Dic86—21no—
877Dic86—41no—
878Dic86—42no—
879Dic86—42no—
880Dic86—42no—
881C8×C43—21no—
882C8×C43—21no—
883C8×C43—21no—
884C8×C43—21no—
885C43⋊C8—21no—
886C43⋊C8—21no—
887C43⋊C8—21no—
888C43⋊C8—21no—
889#60761—431nomaximal, Sylow
890C22×C43—21no—
891C22×C43—21no—
892C22×C43—21no—
893C22×C43—21no—
894C22×C43—21no—
895C22×C43—21no—
896C22×C43—21no—
897C22×C43—21no—
898C22×C43—21no—
899C22×C43—41no—
900C22×C43—41no—
901C22×C43—41no—
902C22×C43C23×D411yescharacteristic
903C2×D43—21no—
904C2×D43—21no—
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—21no—
909C2×D43—21no—
910C2×D43—21no—
911C2×D43—21no—
912C2×D43—21no—
913C2×D43—21no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—41no—
919C2×D43—41no—
920C2×D43—82no—
921C2×D43—84no—
922C2×D43—82no—
923C2×D43—82no—
924C2×D43#53412yes—
925C4×C43—21no—
926C4×C43—21no—
927C4×C43—21no—
928C4×C43—41no—
929C4×C43—41no—
930C4×C43—41no—
931C4×C43—41no—
932C4×C43—41no—
933C4×C43—41no—
934C4×C43—41no—
935C4×C43C2×H(5,𝔽2)11yescharacteristic
936C4×C43C2×H(5,𝔽2)11yescharacteristic
937Dic43—21no—
938Dic43—21no—
939Dic43—21no—
940Dic43—41no—
941Dic43—41no—
942Dic43—41no—
943Dic43—41no—
944Dic43—41no—
945Dic43—41no—
946Dic43#53412yes—
947#3489—431no—
948#3449—431no—
949#3204—431no—
950#3204—431no—
951#3203—431no—
952#3203—431no—
953#3201—431no—
954#3201—431no—
955#3201—431no—
956#3201D4311yescharacteristic, complemented
957#3197—431no—
958#3197—431no—
959#3196—431no—
960#3196—431no—
961#3191—431no—
962#3191—431no—
963#3190—431no—
964#3190—431no—
965#3097—431no—
966#3096—431no—
967#3095—431no—
968#3091—431no—
969#3063—431no—
970#3062—431no—
971#3059—431no—
972#3057—431no—
973#3011—431no—
974#3010—431no—
975#3005—431no—
976C2×#452—431no—
977#2880—431no—
978C2×C43—41no—
979C2×C43—41no—
980C2×C43—41no—
981C2×C43—81no—
982C2×C43C2×#53411yescharacteristic
983C2×C43#358411yescharacteristic
984C2×C43#358611yescharacteristic
985D43—22no—
986D43—41no—
987D43—41no—
988D43—41no—
989D43—81no—
990D43—81no—
991C2×2−1+4—431no—
992C22×#41—431no—
993C22×#41—431no—
994C2×#137—431no—
995C2×AGL(1,ℤ/8)—431no—
996C22×Q16—431no—
997C22×SD16—431no—
998C2×#131—431no—
999C2×#131—431no—
1000D4×Q8—861no—
1001#548—861no—
1002#547—861no—
1003#547—861no—
1004#547—861no—
1005#546—861no—
1006#546—861no—
1007#546—861no—
1008#537—431no—
1009#537—431no—
1010#537—431no—
1011#537—431no—
1012#537—431no—
1013#537—431no—
1014#537C2×D4311yescharacteristic
1015#536—431no—
1016#536—431no—
1017#536—431no—
1018#536—431no—
1019#536—861no—
1020#536C2×D4311yescharacteristic, complemented
1021#535—431no—
1022#535—431no—
1023#535—861no—
1024#534—861no—
1025#534—861no—
1026#532—861no—
1027#532—861no—
1028#525—431no—
1029#525—431no—
1030#525—431no—
1031#525—431no—
1032#525—431no—
1033#525—431no—
1034#525—431no—
1035#525—861no—
1036#525—861no—
1037C2×C22⋊Q8—431no—
1038C2×C22⋊Q8—431no—
1039C2×C22⋊Q8—431no—
1040#520—431no—
1041C2×#117—431no—
1042#485—431no—
1043#485—431no—
1044#485—431no—
1045#485—431no—
1046#485—431no—
1047#485—431no—
1048#485—431no—
1049#485—431no—
1050#485—431no—
1051#485C2×D4311yescharacteristic, complemented
1052#484—431no—
1053#484—431no—
1054#484—431no—
1055#484—431no—
1056#484C2×D4311yescharacteristic, complemented
1057#483—431no—
1058#483—431no—
1059#483—431no—
1060#483—431no—
1061#483C2×D4311yescharacteristic, complemented
1062#482—431no—
1063#482—431no—
1064#482—431no—
1065#482—431no—
1066#482—431no—
1067#482C2×D4311yescharacteristic, complemented
1068#481—431no—
1069#481—431no—
1070#481—431no—
1071#480—431no—
1072#480—431no—
1073#480—431no—
1074#470—431no—
1075#470—431no—
1076#470—431no—
1077#470—431no—
1078#470—431no—
1079#470C2×D4311yescharacteristic, complemented
1080#469—431no—
1081#469—431no—
1082#468—431no—
1083#468—431no—
1084#468—431no—
1085#468—431no—
1086#468—431no—
1087#468—431no—
1088#468—431no—
1089#468C2×D4311yescharacteristic, complemented
1090#467—431no—
1091#467—431no—
1092#467—431no—
1093#467—431no—
1094#467—431no—
1095#467C2×D4311yescharacteristic, complemented
1096#466—431no—
1097#466—431no—
1098#465—431no—
1099#465—431no—
1100#465—431no—
1101#465—431no—
1102#465—431no—
1103#465—431no—
1104#465—431no—
1105#465C2×D4311yescharacteristic, complemented
1106#452—431no—
1107#452—431no—
1108#452—431no—
1109#452—431no—
1110#452—431no—
1111#452—431no—
1112#452—431no—
1113#452—431no—
1114#452—431no—
1115#452—431no—
1116#452—431no—
1117#452—431no—
1118#452—431no—
1119#452—431no—
1120#452C2×D4311yescharacteristic, complemented
1121#452C2×D4311yescharacteristic, complemented
1122#451—431no—
1123#451—431no—
1124#451—431no—
1125#451C2×D4311yescharacteristic, complemented
1126#449—431no—
1127#449—431no—
1128#449—431no—
1129#449—431no—
1130#449—431no—
1131#449—431no—
1132#449—431no—
1133#449—431no—
1134#448—431no—
1135#448—431no—
1136#448—431no—
1137#448C2×D4311yescharacteristic, complemented
1138#428—431no—
1139#428—431no—
1140#427—431no—
1141#427—431no—
1142#419—431no—
1143#419—431no—
1144#419—431no—
1145#418—431no—
1146#416—431no—
1147#416—431no—
1148C2×#103—431no—
1149C2×#102—431no—
1150#408—431no—
1151#408—431no—
1152#408—431no—
1153#408—431no—
1154#408—431no—
1155#408C2×D4311yescharacteristic, complemented
1156#407—431no—
1157#407—431no—
1158#407—431no—
1159C2×C22⋊C8—431no—
1160C2×C22⋊C8—431no—
1161C2×C22⋊C8—431no—
1162C43#6076111yescharacteristic, complemented, Sylow
11632−1+4—1722no—
11642−1+4—1722no—
1165C2×#41—431no—
1166C2×#41—431no—
1167C2×#41—431no—
1168C2×#41—431no—
1169C2×#41—431no—
1170C2×#41—431no—
1171C2×#41—431no—
1172C2×#41—431no—
1173C2×#41—431no—
1174C2×#41—431no—
1175C2×#41—431no—
1176C2×#41—431no—
1177C2×#41—431no—
1178C2×#41—861no—
1179C2×#41—861no—
1180C2×#41—861no—
1181C2×#41—861no—
1182C2×#41—861no—
1183C2×#41—1722no—
1184C2×#41—1722no—
1185C2×#41—1722no—
1186C2×#41—1722no—
1187C2×#41C22×D4311yescharacteristic
1188C2×#41C22×D4311yescharacteristic
1189C22×Q8—431no—
1190C22×Q8—431no—
1191C22×Q8—431no—
1192C22×Q8—431no—
1193C22×Q8—861no—
1194C22×Q8C22×D4311yescharacteristic
1195C22×D4—431no—
1196C22×D4—431no—
1197C22×D4—431no—
1198C22×D4—431no—
1199C22×D4—861no—
1200C23×C4—431no—
1201C23×C4—431no—
1202C23×C4—431no—
1203C23×C4—861no—
1204#137—1722no—
1205AGL(1,ℤ/8)—1722no—
1206C2×Q16—431no—
1207C2×Q16—431no—
1208C2×Q16—431no—
1209C2×Q16—431no—
1210C2×Q16—1722no—
1211C2×Q16C22×D4311yescharacteristic
1212C2×Q16C22×D4311yescharacteristic
1213C2×SD16—431no—
1214C2×SD16—431no—
1215C2×SD16—431no—
1216C2×SD16—431no—
1217C2×SD16—431no—
1218C2×SD16—431no—
1219C2×SD16—1722no—
1220C2×SD16C22×D4311yescharacteristic
1221C2×SD16C22×D4311yescharacteristic
1222C2×D8—431no—
1223C2×D8—431no—
1224#131—1722no—
1225#131—1722no—
1226C2×M16—431no—
1227C2×M16—431no—
1228C2×M16—431no—
1229C2×M16—431no—
1230C2×M16—431no—
1231C2×M16C22×D4311yescharacteristic
1232C22×C8—431no—
1233C22×C8—431no—
1234C22×C8—431no—
1235C22×C8—431no—
1236C22×C8—431no—
1237C22×C8C22×D4311yescharacteristic
1238C4⋊Q8—21no—
1239C4⋊Q8—861no—
1240C4⋊Q8—861no—
1241C4⋊Q8—861no—
1242C4⋊Q8—861no—
1243#127—861no—
1244#127—861no—
1245#124—21no—
1246#124—861no—
1247#124—861no—
1248#124—861no—
1249#124—861no—
1250#124—861no—
1251#124—861no—
1252#123—21no—
1253#123—21no—
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—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269C22⋊Q8—21no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—431no—
1275C22⋊Q8—431no—
1276C22⋊Q8—431no—
1277C22⋊Q8—431no—
1278C22⋊Q8—431no—
1279C22⋊Q8—431no—
1280C22⋊Q8—431no—
1281C22⋊Q8—431no—
1282C22⋊Q8—431no—
1283C22⋊Q8—431no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8—861no—
1295C22⋊Q8—861no—
1296C22⋊Q8C22×D4311yescharacteristic
1297C22⋊Q8C22×D4311yescharacteristic
1298C22⋊Q8C22×D4311yescharacteristic
1299C22⋊Q8C22×D4311yescharacteristic
1300C22⋊Q8C22×D4311yescharacteristic
1301C22⋊Q8C22×D4311yescharacteristic
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—431no—
1306#121—431no—
1307#121—431no—
1308#121—431no—
1309#121—431no—
1310#121—431no—
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—431no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121—861no—
1330#121—861no—
1331#121—861no—
1332#121—861no—
1333#121C22×D4311yescharacteristic
1334#121C22×D4311yescharacteristic
1335#120—861no—
1336#120—861no—
1337#120—861no—
1338#120—861no—
1339#120—861no—
1340#120—861no—
1341#120—861no—
1342#120—861no—
1343#120—861no—
1344#120—861no—
1345#120—861no—
1346C4×Q8—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×D4—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4—861no—
1364#117—431no—
1365#117—431no—
1366#117—431no—
1367#117—431no—
1368#117—431no—
1369#117—431no—
1370#117—861no—
1371#117—861no—
1372#117C22×D4311yescharacteristic
1373C2×C4⋊C4—431no—
1374C2×C4⋊C4—431no—
1375C2×C4⋊C4—431no—
1376C2×C4⋊C4—431no—
1377C2×C4⋊C4—861no—
1378C2×C4⋊C4—861no—
1379C2×C4⋊C4—861no—
1380C2×C4⋊C4C22×D4311yescharacteristic
1381C2×C22⋊C4—861no—
1382C2×C22⋊C4—861no—
1383C2×C22⋊C4—861no—
1384C2×C22⋊C4—861no—
1385C2×C42—861no—
1386#107—431no—
1387#107—431no—
1388#107—431no—
1389#107—431no—
1390#107—431no—
1391#107—431no—
1392#107C22×D4311yescharacteristic
1393#107C22×D4311yescharacteristic
1394#106—431no—
1395#106—431no—
1396#106—431no—
1397#106—431no—
1398#106—431no—
1399#106—431no—
1400#106C22×D4311yescharacteristic
1401#106C22×D4311yescharacteristic
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103—431no—
1406#103—431no—
1407#103—431no—
1408#103—431no—
1409#103—431no—
1410#103—431no—
1411#103—431no—
1412#103—431no—
1413#103—431no—
1414#103—431no—
1415#103—431no—
1416#103C22×D4311yescharacteristic
1417#103C22×D4311yescharacteristic
1418#103C22×D4311yescharacteristic
1419#103C22×D4311yescharacteristic
1420#103C22×D4311yescharacteristic
1421#103C22×D4311yescharacteristic
1422#102—431no—
1423#102—431no—
1424#102—431no—
1425#102—431no—
1426#102—431no—
1427#102—431no—
1428#102—431no—
1429#102—431no—
1430#102—431no—
1431#102—431no—
1432#102C22×D4311yescharacteristic
1433#102C22×D4311yescharacteristic
1434C22⋊C8—431no—
1435C22⋊C8—431no—
1436C22⋊C8—431no—
1437C22⋊C8—431no—
1438C22⋊C8—431no—
1439C22⋊C8—431no—
1440C22⋊C8—431no—
1441C22⋊C8—431no—
1442C22⋊C8—431no—
1443C22⋊C8—431no—
1444C22⋊C8—431no—
1445C22⋊C8—431no—
1446C22⋊C8C22×D4311yescharacteristic
1447C22⋊C8C22×D4311yescharacteristic
1448C22⋊C8C22×D4311yescharacteristic
1449C22⋊C8C22×D4311yescharacteristic
1450C24—431no—
1451C24—431no—
1452C24—431no—
1453C24—861no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—862no—
1459#41—862no—
1460#41—862no—
1461#41—862no—
1462#41—862no—
1463#41—862no—
1464#41—1721no—
1465#41—1721no—
1466#41—1721no—
1467#41—1721no—
1468#41—1721no—
1469#41—1721no—
1470#41—1724no—
1471#41—1724no—
1472#41—1724no—
1473#41—1721no—
1474#41—1721no—
1475#41—1722no—
1476#41—1722no—
1477#41—1722no—
1478#41—1724no—
1479#41—1722no—
1480#41—1721no—
1481#41—1721no—
1482#41—1721no—
1483#41—1721no—
1484#41—1724no—
1485C2×Q8—21no—
1486C2×Q8—41no—
1487C2×Q8—41no—
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—862no—
1497C2×Q8—862no—
1498C2×Q8—862no—
1499C2×Q8—862no—
1500C2×Q8—1721no—
1501C2×Q8—1721no—
1502C2×Q8—1722no—
1503C2×Q8—1724no—
1504C2×Q8D4×D4311yescharacteristic
1505C2×Q8C23×D4311yescharacteristic
1506C2×Q8C23×D4311yescharacteristic
1507C2×Q8C23×D4311yescharacteristic
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—431no—
1512C2×D4—431no—
1513C2×D4—431no—
1514C2×D4—431no—
1515C2×D4—431no—
1516C2×D4—431no—
1517C2×D4—431no—
1518C2×D4—431no—
1519C2×D4—431no—
1520C2×D4—431no—
1521C2×D4—431no—
1522C2×D4—861no—
1523C2×D4—861no—
1524C2×D4—861no—
1525C2×D4—861no—
1526C2×D4—861no—
1527C2×D4—861no—
1528C2×D4—861no—
1529C2×D4—862no—
1530C2×D4—862no—
1531C2×D4—861no—
1532C2×D4—861no—
1533C2×D4—861no—
1534C2×D4—861no—
1535C2×D4—861no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—861no—
1541C2×D4—1722no—
1542C2×D4—1722no—
1543C2×D4—1722no—
1544C2×D4—1724no—
1545C2×D4D4×D4311yescharacteristic
1546C2×D4D4×D4311yescharacteristic
1547C2×D4D4×D4311yescharacteristic
1548C2×D4C23×D4311yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—431no—
1553C22×C4—431no—
1554C22×C4—431no—
1555C22×C4—431no—
1556C22×C4—431no—
1557C22×C4—431no—
1558C22×C4—431no—
1559C22×C4—431no—
1560C22×C4—431no—
1561C22×C4—431no—
1562C22×C4—431no—
1563C22×C4—431no—
1564C22×C4—431no—
1565C22×C4—862no—
1566C22×C4—862no—
1567C22×C4—861no—
1568C22×C4—861no—
1569C22×C4—861no—
1570C22×C4—861no—
1571C22×C4—861no—
1572C22×C4—861no—
1573C22×C4—861no—
1574C22×C4—861no—
1575C22×C4—861no—
1576C22×C4—861no—
1577C22×C4—861no—
1578C22×C4—861no—
1579C22×C4—861no—
1580C22×C4—1721no—
1581C22×C4—1721no—
1582C22×C4—1721no—
1583C22×C4—1721no—
1584C22×C4—1724no—
1585C22×C4C23×D4311yescharacteristic
1586C22×C4C23×D4311yescharacteristic
1587C22×C4C23×D4311yescharacteristic
1588Q16—41no—
1589Q16—41no—
1590Q16—1721no—
1591Q16—1721no—
1592Q16—1721no—
1593Q16—1721no—
1594SD16—41no—
1595SD16—41no—
1596SD16—1721no—
1597SD16—1721no—
1598SD16—1721no—
1599SD16—1721no—
1600SD16—1721no—
1601SD16—1721no—
1602D8—1721no—
1603D8—1721no—
1604M16—41no—
1605M16—862no—
1606M16—862no—
1607M16—1721no—
1608M16—1721no—
1609M16—1721no—
1610C2×C8—41no—
1611C2×C8—431no—
1612C2×C8—431no—
1613C2×C8—431no—
1614C2×C8—431no—
1615C2×C8—862no—
1616C2×C8—862no—
1617C2×C8—1721no—
1618C2×C8—1721no—
1619C2×C8—1721no—
1620C2×C8C23×D4311yescharacteristic
1621C2×C8C23×D4311yescharacteristic
1622C2×C8C23×D4311yescharacteristic
1623C2×C8C23×D4311yescharacteristic
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—431no—
1632C4⋊C4—431no—
1633C4⋊C4—431no—
1634C4⋊C4—431no—
1635C4⋊C4—861no—
1636C4⋊C4—861no—
1637C4⋊C4—861no—
1638C4⋊C4—861no—
1639C4⋊C4—861no—
1640C4⋊C4—861no—
1641C4⋊C4—861no—
1642C4⋊C4—861no—
1643C4⋊C4—861no—
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⋊C4C23×D4311yescharacteristic
1654C4⋊C4C23×D4311yescharacteristic
1655C4⋊C4C23×D4311yescharacteristic
1656C4⋊C4C23×D4311yescharacteristic
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
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⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4—861no—
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—
1696C42—21no—
1697C42—861no—
1698C42—861no—
1699C42—861no—
1700C42—861no—
1701C42—861no—
1702C42—861no—
1703C23—21no—
1704C23—431no—
1705C23—431no—
1706C23—431no—
1707C23—431no—
1708C23—862no—
1709C23—861no—
1710C23—861no—
1711C23—3441no—
1712C23—3441no—
1713C23—1721no—
1714C23—1721no—
1715C23—1721no—
1716C23—1721no—
1717C23—1721no—
1718C23—1721no—
1719C23—1721no—
1720C23—1721no—
1721C23—1722no—
1722C23C2×D4×D4311yescharacteristic
1723C23C2×D4×D4311yescharacteristic
1724C23C2×D4×D4311yescharacteristic
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—41no—
1732Q8—42no—
1733Q8—862no—
1734Q8—862no—
1735Q8—861no—
1736Q8—861no—
1737Q8—861no—
1738Q8—861no—
1739Q8—1721no—
1740Q8—1722no—
1741Q8—1722no—
1742Q8—1722no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—862no—
1752D4—862no—
1753D4—862no—
1754D4—862no—
1755D4—862no—
1756D4—862no—
1757D4—861no—
1758D4—861no—
1759D4—861no—
1760D4—861no—
1761D4—3441no—
1762D4—3441no—
1763D4—3441no—
1764D4—3441no—
1765D4—3441no—
1766D4—3441no—
1767D4—3441no—
1768D4—3441no—
1769D4—3441no—
1770D4—1721no—
1771D4—1722no—
1772D4—1722no—
1773D4—1722no—
1774D4—1722no—
1775D4—1722no—
1776D4—1721no—
1777D4—1721no—
1778D4—1722no—
1779D4—1722no—
1780D4—1722no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—431no—
1798C2×C4—432no—
1799C2×C4—432no—
1800C2×C4—431no—
1801C2×C4—431no—
1802C2×C4—431no—
1803C2×C4—862no—
1804C2×C4—862no—
1805C2×C4—862no—
1806C2×C4—861no—
1807C2×C4—861no—
1808C2×C4—861no—
1809C2×C4—861no—
1810C2×C4—861no—
1811C2×C4—861no—
1812C2×C4—861no—
1813C2×C4—861no—
1814C2×C4—861no—
1815C2×C4—861no—
1816C2×C4—861no—
1817C2×C4—861no—
1818C2×C4—3441no—
1819C2×C4—3441no—
1820C2×C4—3441no—
1821C2×C4—3441no—
1822C2×C4—1721no—
1823C2×C4—1721no—
1824C2×C4—1721no—
1825C2×C4—1721no—
1826C2×C4—1722no—
1827C2×C4—1722no—
1828C2×C4—1722no—
1829C2×C4—1722no—
1830C2×C4—1722no—
1831C2×C4—1722no—
1832C2×C4—1722no—
1833C2×C4—1722no—
1834C2×C4—1721no—
1835C2×C4—1721no—
1836C2×C4—1722no—
1837C2×C4C2×D4×D4311yescharacteristic
1838C2×C4C2×D4×D4311yescharacteristic
1839C2×C4C2×D4×D4311yescharacteristic
1840C2×C4C24×D4311yescharacteristic
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C8—21no—
1845C8—861no—
1846C8—861no—
1847C8—861no—
1848C8—861no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—432no—
1862C22—861no—
1863C22—861no—
1864C22—861no—
1865C22—861no—
1866C22—861no—
1867C22—861no—
1868C22—861no—
1869C22—861no—
1870C22—861no—
1871C22—861no—
1872C22—861no—
1873C22—3442no—
1874C22—3442no—
1875C22—3442no—
1876C22—3444no—
1877C22—1721no—
1878C22—1721no—
1879C22—1721no—
1880C22—1721no—
1881C22—1721no—
1882C22—1721no—
1883C22C22×D4×D4311yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—432no—
1895C4—861no—
1896C4—861no—
1897C4—861no—
1898C4—1721no—
1899C4—1721no—
1900C4—1721no—
1901C4—1721no—
1902C4—1721no—
1903C4—1721no—
1904C4H(5,𝔽2)×D4311yescharacteristic
1905C4H(5,𝔽2)×D4311yescharacteristic
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—81no—
1910C2—862no—
1911C2—3441no—
1912C2—3441no—
1913C2—1721no—
1914C2—1721no—
1915C2—1721no—
1916C2#534×D4311yescharacteristic
1917C2#1914936511yescharacteristic
1918C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3201C2
socleC22×C43C23×D4
hypercenter#3201D43
hypocenterC43#60761
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #19148273C2semidirect
2. #19147923C2semidirect
3. #19145505C2semidirect
4. #19145501C2semidirect
5. #19145497C2semidirect
6. #19145496C2semidirect
7. #19145482C2semidirect
8. #19145477C2semidirect
9. #19145476C2semidirect
10. #19145439C2semidirect
11. #19145433C2semidirect
12. #19145426C2semidirect
13. #19145422C2semidirect
14. #19145389C2semidirect
15. #19145386C2semidirect
16. #19145379C2semidirect
17. #19145371C2semidirect
18. #19144559C2semidirect
19. #19144550C2semidirect
20. #19144538C2semidirect
21. #19144511C2semidirect
22. #19144283C2semidirect
23. #19144268C2semidirect
24. #19144245C2semidirect
25. #19144232C2semidirect
26. #19143885C2semidirect
27. #19143876C2semidirect
28. #19143838C2semidirect
29. #452×D43C2semidirect
30. #19143043C2semidirect
31. C43×#3201C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063352C22semidirect
37. C2×Q16×D43C22semidirect
38. C2×SD16×D43C22semidirect
51. #14583479C22semidirect
54. #14583477C22semidirect
59. #14583472C22semidirect
71. #14583412C22semidirect
72. #14583411C22semidirect
76. C2×#13063301C22semidirect
78. C22⋊Q8×D43C22semidirect
81. #14583243C22semidirect
82. #14583243C22semidirect
83. #14583242C22semidirect
84. #14583240C22semidirect
85. #14583239C22semidirect
86. #14583239C22semidirect
87. #14583239C22semidirect
88. #14583239C22semidirect
89. #14583239C22semidirect
90. #14583235C22semidirect
91. #14583235C22semidirect
92. #14583233C22semidirect
93. #14583232C22semidirect
94. #14583231C22semidirect
95. #14583229C22semidirect
96. #14583227C22semidirect
97. #14583227C22semidirect
98. #14583226C22semidirect
99. #14583226C22semidirect
100. #14583226C22semidirect
101. #14583223C22semidirect
102. #14583221C22semidirect
103. #14583219C22semidirect
104. #14583217C22semidirect
105. #14583215C22semidirect
106. #14583213C22semidirect
107. #14583213C22semidirect
108. #14583211C22semidirect
109. #14583156C22semidirect
110. #14583156C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
113. #14583155C22semidirect
114. #14583153C22semidirect
115. #14583150C22semidirect
116. #14583148C22semidirect
117. #14583147C22semidirect
118. #14583146C22semidirect
119. #14583145C22semidirect
120. #14583145C22semidirect
121. #14583142C22semidirect
122. #14583142C22semidirect
123. #14583141C22semidirect
124. #14583140C22semidirect
125. #14583138C22semidirect
126. #14583137C22semidirect
127. #14583137C22semidirect
128. #14583135C22semidirect
129. #14583134C22semidirect
130. #14583131C22semidirect
131. #14583131C22semidirect
132. #14583130C22semidirect
133. #14583130C22semidirect
134. #14583129C22semidirect
135. #14583127C22semidirect
136. #14583126C22semidirect
138. #14583064C22semidirect
139. #14583063C22semidirect
140. #14583063C22semidirect
142. #14583061C22semidirect
145. #14583060C22semidirect
146. #14583059C22semidirect
147. #14583059C22semidirect
148. #14583059C22semidirect
151. #14583056C22semidirect
152. #14583055C22semidirect
153. #14583053C22semidirect
155. #14583047C22semidirect
156. #14583046C22semidirect
157. #14583046C22semidirect
159. #14583044C22semidirect
160. #14583043C22semidirect
161. #14583042C22semidirect
162. #14583039C22semidirect
163. #14583038C22semidirect
164. #14583036C22semidirect
165. #14582938C22semidirect
166. #14582938C22semidirect
167. #14582936C22semidirect
168. #14582936C22semidirect
169. #14582906C22semidirect
170. #14582906C22semidirect
171. #14582906C22semidirect
172. #14582902C22semidirect
173. #14582894C22semidirect
174. #14582894C22semidirect
175. #103×D43C22semidirect
176. #102×D43C22semidirect
177. #14582866C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
182. #14582862C22semidirect
184. #14582861C22semidirect
185. C2×(C2×D43)⋊C8C22semidirect
187. C22⋊C8×D43C22semidirect
189. C43×#536C22semidirect
190. C43×#485C22semidirect
191. C43×#484C22semidirect
192. C43×#483C22semidirect
193. C43×#482C22semidirect
194. C43×#470C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
197. C43×#465C22semidirect
198. C43×#452C22semidirect
199. C43×#452C22semidirect
200. C43×#451C22semidirect
201. C43×#448C22semidirect
202. C43×#408C22semidirect
956. #3201D43semidirect
1020. #536C2×D43semidirect
1051. #485C2×D43semidirect
1056. #484C2×D43semidirect
1061. #483C2×D43semidirect
1067. #482C2×D43semidirect
1079. #470C2×D43semidirect
1089. #468C2×D43semidirect
1095. #467C2×D43semidirect
1105. #465C2×D43semidirect
1120. #452C2×D43semidirect
1121. #452C2×D43semidirect
1125. #451C2×D43semidirect
1137. #448C2×D43semidirect
1155. #408C2×D43semidirect
1162. C43#60761semidirect

Maximal subgroups

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

subgroupindex
#191482732
#191479232
#191455052
#191455012
#191454972
#191454962
#191454822
#191454772
#191454762
#191454392
#191454332
#191454262
#191454222
#191453892
#191453862
#191453792
#191453712
#191445592
#191445502
#191445382
#191445112
#191442832
#191442682
#191442452
#191442322
#191438852
#191438762
#191438382
#452×D432
#191430432
C43×#32012
#6076143