Finite Group Databasebeta

← #25967546

Subgroups — #25967546

Order 11008.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148273C211yesmaximal, characteristic, complemented
2#537×D43C211yesmaximal, characteristic, complemented
3#19145507C211yesmaximal, characteristic, complemented
4#19145505C211yesmaximal, characteristic, complemented
5#19145503C211yesmaximal, characteristic, complemented
6#19145501C211yesmaximal, characteristic, complemented
7#19145482C211yesmaximal, characteristic, complemented
8#19145477C211yesmaximal, characteristic, complemented
9#19145474C211yesmaximal, characteristic, complemented
10#19145417C211yesmaximal, characteristic, complemented
11#19145415C211yesmaximal, characteristic, complemented
12#19145413C211yesmaximal, characteristic, complemented
13#19145410C211yesmaximal, characteristic, complemented
14#19145380C211yesmaximal, characteristic, complemented
15#19145377C211yesmaximal, characteristic, complemented
16#19145350C211yesmaximal, characteristic, complemented
17#19145347C211yesmaximal, characteristic, complemented
18#19144587C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#19144522C211yesmaximal, characteristic, complemented
21#483×D43C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144281C211yesmaximal, characteristic, complemented
24#19144259C211yesmaximal, characteristic, complemented
25#19144252C211yesmaximal, characteristic, complemented
26#19143911C211yesmaximal, characteristic, complemented
27#19143905C211yesmaximal, characteristic, complemented
28#19143852C211yesmaximal, characteristic, complemented
29#19143816C211yesmaximal, characteristic, complemented
30#19143043C211yesmaximal, characteristic, complemented
31C43×#3201C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic, complemented
33C2×#41×D43C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C2×#13063348C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic, complemented
39C2×#13063333C2211yescharacteristic, complemented
40C2×#13063331C2211yescharacteristic, complemented
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#14583479—21no—
51#14583479C2211yescharacteristic
52#14583479C2211yescharacteristic
53#14583479C2211yescharacteristic, complemented
54#14583479C2211yescharacteristic, complemented
55#14583478—21no—
56#14583478C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583477C2211yescharacteristic
59#14583477C2211yescharacteristic
60#14583477C2211yescharacteristic, complemented
61#14583476—21no—
62#14583476—21no—
63#14583472C2211yescharacteristic, complemented
64#14583472C2211yescharacteristic, complemented
65#14583412C2211yescharacteristic
66#14583412C2211yescharacteristic
67#14583411C2211yescharacteristic
68C2×#13063301C2211yescharacteristic
69C22⋊Q8×D43—21no—
70C22⋊Q8×D43C2211yescharacteristic
71C22⋊Q8×D43C2211yescharacteristic
72C22⋊Q8×D43C2211yescharacteristic
73C22⋊Q8×D43C2211yescharacteristic
74#121×D43—21no—
75#121×D43—21no—
76#121×D43—21no—
77#121×D43C2211yescharacteristic
78#121×D43C2211yescharacteristic
79#14583379C2211yescharacteristic, complemented
80C2×C4⋊C4×D43C2211yescharacteristic
81#14583242C2211yescharacteristic, complemented
82#14583240C2211yescharacteristic, complemented
83#14583238C2211yescharacteristic, complemented
84#14583232C2211yescharacteristic, complemented
85#14583231C2211yescharacteristic
86#14583231C2211yescharacteristic
87#14583231C2211yescharacteristic, complemented
88#14583230C2211yescharacteristic, complemented
89#14583230C2211yescharacteristic, complemented
90#14583229C2211yescharacteristic, complemented
91#14583228C2211yescharacteristic
92#14583228C2211yescharacteristic
93#14583228C2211yescharacteristic
94#14583228C2211yescharacteristic
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic, complemented
97#14583227C2211yescharacteristic, complemented
98#14583226C2211yescharacteristic, complemented
99#14583223C2211yescharacteristic, complemented
100#14583222C2211yescharacteristic, complemented
101#14583219C2211yescharacteristic, complemented
102#14583218C2211yescharacteristic, complemented
103#14583218C2211yescharacteristic, complemented
104#14583217C2211yescharacteristic, complemented
105#14583216C2211yescharacteristic, complemented
106#14583215C2211yescharacteristic, complemented
107#14583214C2211yescharacteristic
108#14583214C2211yescharacteristic
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583155C2211yescharacteristic, complemented
114#14583154C2211yescharacteristic, complemented
115#14583154C2211yescharacteristic, complemented
116#14583153C2211yescharacteristic, complemented
117#14583152C2211yescharacteristic, complemented
118#14583151C2211yescharacteristic, complemented
119#14583150C2211yescharacteristic, complemented
120#14583147C2211yescharacteristic, complemented
121#14583146C2211yescharacteristic, complemented
122#14583144C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583139C2211yescharacteristic, complemented
125#14583138C2211yescharacteristic, complemented
126#14583131C2211yescharacteristic, complemented
127#14583131C2211yescharacteristic, complemented
128#14583131C2211yescharacteristic, complemented
129#14583130C2211yescharacteristic, complemented
130#14583130C2211yescharacteristic, complemented
131#14583129C2211yescharacteristic, complemented
132#14583128C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic, complemented
138#14583063C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic, complemented
140#14583061C2211yescharacteristic, complemented
141#14583060C2211yescharacteristic, complemented
142#14583059C2211yescharacteristic, complemented
143#14583059C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583056C2211yescharacteristic
146#14583056C2211yescharacteristic, complemented
147#14583055C2211yescharacteristic, complemented
148#14583053C2211yescharacteristic
149#14583053C2211yescharacteristic
150#14583053C2211yescharacteristic, complemented
151#14583051C2211yescharacteristic
152#14583048C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583047C2211yescharacteristic, complemented
155#14583046C2211yescharacteristic, complemented
156#14583046C2211yescharacteristic, complemented
157#14583044C2211yescharacteristic, complemented
158#14583043C2211yescharacteristic, complemented
159#14583042C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic
161#14583039C2211yescharacteristic, complemented
162#14583038C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic, complemented
164#14583034C2211yescharacteristic
165#14582940C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic, complemented
167#106×D43C2211yescharacteristic, complemented
168#106×D43C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic, complemented
170#14582899C2211yescharacteristic, complemented
171#14582899C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582894C2211yescharacteristic, complemented
174#14582892C2211yescharacteristic, complemented
175#103×D43C2211yescharacteristic, complemented
176#103×D43C2211yescharacteristic, complemented
177#14582866C2211yescharacteristic, complemented
178#14582864C2211yescharacteristic, complemented
179#14582864C2211yescharacteristic, complemented
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582862C2211yescharacteristic
183#14582861C2211yescharacteristic
184#14582861C2211yescharacteristic
185C2×(C2×D43)⋊C8C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187C22⋊C8×D43C2211yescharacteristic
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×D43—21no—
234C2×D4×D43—21no—
235C2×D4×D43D411yescharacteristic
236C2×D4×D43D411yescharacteristic
237C2×D4×D43D411yescharacteristic
238C2×D4×D43C2311yescharacteristic
239C22×C4×D43—21no—
240C22×C4×D43—21no—
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063357—42no—
245#13063354—42no—
246#13063348—42no—
247#13063346—42no—
248C2×Dic172C2311yescharacteristic
249C2×#10621885C2311yescharacteristic
250C2×#10621885C2311yescharacteristic
251C2×#10621885C2311yescharacteristic
252C2×#10621873C2311yescharacteristic
253C2×#10621873C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258C2×D344C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
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#13063324—21no—
273#13063324—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063309—21no—
281#13063307—21no—
282#13063307—21no—
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063301—21no—
308#13063301—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063301C2311yescharacteristic
315#13063301C2311yescharacteristic
316#13063301C2311yescharacteristic
317#13063300—21no—
318#13063300—21no—
319#13063300—21no—
320#13063300—21no—
321#13063300—21no—
322#13063300C2311yescharacteristic
323#13063300C2311yescharacteristic
324#13063300C2311yescharacteristic
325#13063300C2311yescharacteristic
326#13063299—21no—
327#13063299—21no—
328#13063299—21no—
329#13063299C2311yescharacteristic
330#13063299C2311yescharacteristic
331#13063299C2311yescharacteristic
332#13063299C2311yescharacteristic
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063297—21no—
351#13063297—21no—
352#13063297—21no—
353#13063297—21no—
354#13063297—21no—
355#13063296—21no—
356#13063296—21no—
357#13063296—21no—
358#13063296—21no—
359#13063296C2311yescharacteristic
360#13063296C2311yescharacteristic
361#13063295—21no—
362#13063295—21no—
363#13063295—21no—
364C4×Dic86—21no—
365C4×D172—21no—
366C4×D172—21no—
367C4×D172—21no—
368#13063287—21no—
369#13063287—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374#13063283C2311yescharacteristic
375#13063283C2311yescharacteristic
376C2×C4⋊Dic43C2311yescharacteristic
377C2×C4⋊Dic43C2311yescharacteristic
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
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
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C2×(C2×D43)⋊C4—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063257C2311yescharacteristic
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—22no—
543#10621902—22no—
544#10621902—42no—
545#10621902—41no—
546#10621902—41no—
547#10621902—44no—
548Q8×D43—22no—
549Q8×D43—22no—
550Q8×D43—42no—
551Q8×D43—41no—
552Q8×D43—41no—
553Q8×D43—41no—
554Q8×D43—41no—
555Q8×D43—44no—
556#10621900—22no—
557#10621900—22no—
558#10621900—42no—
559#10621900—42no—
560#10621900—42no—
561#10621900—44no—
562D4×D43—42no—
563D4×D43—42no—
564D4×D43—44no—
565D4×D43—41no—
566D4×D43—41no—
567D4×D43—42no—
568D4×D43—82no—
569D4×D43—82no—
570#10621898—22no—
571#10621898—22no—
572#10621898—22no—
573#10621898—22no—
574#10621898—41no—
575#10621898—41no—
576#10621898—41no—
577#10621898—41no—
578#10621898—41no—
579#10621898—41no—
580#10621898—44no—
581#10621898—44no—
582#10621898—44no—
583C2×D172—21no—
584C2×D172—21no—
585C2×D172—21no—
586C2×D172—21no—
587C2×D172—21no—
588C2×D172—21no—
589C2×D172—21no—
590C2×D172C2×D411yescharacteristic
591C2×D172C2×D411yescharacteristic
592C2×D172C2×D411yescharacteristic
593C2×D172C2411yescharacteristic
594C2×D172C2411yescharacteristic
595C2×C4×D43—22no—
596C2×C4×D43—22no—
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—21no—
606C2×C4×D43—21no—
607C2×C4×D43—21no—
608C2×C4×D43—21no—
609C2×C4×D43—21no—
610C2×C4×D43—21no—
611C2×C4×D43—41no—
612C2×C4×D43—41no—
613C2×C4×D43—41no—
614C2×C4×D43—41no—
615C2×C4×D43—44no—
616C2×C4×D43—82no—
617C2×C4×D43C2×D411yescharacteristic
618C2×C4×D43C2×D411yescharacteristic
619C2×C4×D43C2×D411yescharacteristic
620C2×C4×D43C2×D411yescharacteristic
621C2×C4×D43C2×D411yescharacteristic
622C2×C4×D43C2×D411yescharacteristic
623C2×C4×D43C2411yescharacteristic
624C2×C4×D43C2411yescharacteristic
625C2×C4×D43C2411yescharacteristic
626C2×C4×D43C2411yescharacteristic
627C2×Dic86—21no—
628C2×Dic86—21no—
629C2×Dic86—21no—
630C2×Dic86C2×D411yescharacteristic
631C2×Dic86C2×D411yescharacteristic
632C2×Dic86C2×D411yescharacteristic
633C2×Dic86C2411yescharacteristic
634C2×Dic86C2411yescharacteristic
635Q16×C43—41no—
636Q16×C43—41no—
637SD16×C43—41no—
638SD16×C43—41no—
639M16×C43—41no—
640C2×C8×C43—41no—
641C2×C8×C43C2411yescharacteristic
642C2×C8×C43C2411yescharacteristic
643C2×C8×C43C2411yescharacteristic
644C2×C8×C43C2411yescharacteristic
645C4⋊C4×C43—21no—
646C4⋊C4×C43—21no—
647C4⋊C4×C43—21no—
648C4⋊C4×C43—21no—
649C4⋊C4×C43—21no—
650C4⋊C4×C43—21no—
651C4⋊C4×C43—21no—
652C4⋊C4×C43C2411yescharacteristic
653C4⋊C4×C43C2411yescharacteristic
654C4⋊C4×C43C2411yescharacteristic
655C4⋊C4×C43C2411yescharacteristic
656C22⋊C4×C43—21no—
657C22⋊C4×C43—21no—
658C22⋊C4×C43—21no—
659C22⋊C4×C43—21no—
660C22⋊C4×C43—21no—
661C22⋊C4×C43—21no—
662C22⋊C4×C43—21no—
663C22⋊C4×C43—21no—
664C22⋊C4×C43—21no—
665C42×C43—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#10621885—41no—
675#10621884—41no—
676#10621884—41no—
677#10621884—41no—
678#10621883—41no—
679#10621882—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—
698(C2×D43)⋊C4—21no—
699(C2×D43)⋊C4—21no—
700C4⋊Dic43—21no—
701C4⋊Dic43—21no—
702C4⋊Dic43—21no—
703C4⋊Dic43—21no—
704C4⋊Dic43—21no—
705C4⋊Dic43—21no—
706C4⋊Dic43C2411yescharacteristic
707C4⋊Dic43C2411yescharacteristic
708C4⋊Dic43C2411yescharacteristic
709C4⋊Dic43C2411yescharacteristic
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—
723Dic43⋊C4—21no—
724Dic43⋊C4—21no—
725Dic43⋊C4—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—
735D344—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×C43C22×D411yescharacteristic
748C23×C43C22×D411yescharacteristic
749C23×C43C22×D411yescharacteristic
750C22×D43—22no—
751C22×D43—22no—
752C22×D43—22no—
753C22×D43—22no—
754C22×D43—21no—
755C22×D43—21no—
756C22×D43—41no—
757C22×D43—41no—
758C22×D43—41no—
759C22×D43—41no—
760C22×D43—41no—
761C22×D43—42no—
762C22×D43—42no—
763C22×D43—42no—
764C22×D43C22×D411yescharacteristic
765C22×D43C22×D411yescharacteristic
766C22×D43C22×D411yescharacteristic
767C22×D43C22×D411yescharacteristic
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—21no—
771Q8×C43—21no—
772Q8×C43—21no—
773Q8×C43—21no—
774Q8×C43—41no—
775Q8×C43—42no—
776D4×C43—21no—
777D4×C43—21no—
778D4×C43—41no—
779D4×C43—41no—
780D4×C43—41no—
781D4×C43—42no—
782D4×C43—81no—
783D4×C43—81no—
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—21no—
795C2×C4×C43—21no—
796C2×C4×C43—21no—
797C2×C4×C43—42no—
798C2×C4×C43—42no—
799C2×C4×C43—81no—
800C2×C4×C43C22×D411yescharacteristic
801C2×C4×C43C22×D411yescharacteristic
802C2×C4×C43C22×D411yescharacteristic
803C2×C4×C43C2511yescharacteristic
804C22⋊D43—22no—
805C22⋊D43—22no—
806C22⋊D43—22no—
807C22⋊D43—22no—
808C22⋊D43—41no—
809C22⋊D43—41no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—81no—
815C22⋊D43—81no—
816C22⋊D43—81no—
817C22⋊D43—81no—
818C22⋊D43—81no—
819C22⋊D43—81no—
820C2×Dic43—22no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—21no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—41no—
828C2×Dic43—41no—
829C2×Dic43—42no—
830C2×Dic43—81no—
831C2×Dic43—81no—
832C2×Dic43C22×D411yescharacteristic
833C2×Dic43C22×D411yescharacteristic
834C2×Dic43C22×D411yescharacteristic
835C2×Dic43C22×D411yescharacteristic
836D172—22no—
837D172—22no—
838D172—21no—
839D172—21no—
840D172—21no—
841D172—21no—
842D172—41no—
843D172—42no—
844D172—42no—
845D172—42no—
846D172—42no—
847D172—81no—
848D172—81no—
849D172—81no—
850C4×D43—22no—
851C4×D43—21no—
852C4×D43—21no—
853C4×D43—21no—
854C4×D43—21no—
855C4×D43—21no—
856C4×D43—21no—
857C4×D43—22no—
858C4×D43—41no—
859C4×D43—41no—
860C4×D43—41no—
861C4×D43—41no—
862C4×D43—42no—
863C4×D43—42no—
864C4×D43—42no—
865C4×D43—42no—
866C4×D43—42no—
867C4×D43—42no—
868C4×D43—42no—
869C4×D43—42no—
870C4×D43—42no—
871C4×D43—42no—
872C4×D43—81no—
873C4×D43—81no—
874C4×D43—81no—
875C4×D43—81no—
876C4×D43H(5,𝔽2)12yes—
877C4×D43H(5,𝔽2)12yes—
878Dic86—22no—
879Dic86—22no—
880Dic86—21no—
881Dic86—21no—
882Dic86—21no—
883Dic86—21no—
884Dic86—41no—
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#60763—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×C43C23×D411yescharacteristic
910C2×D43—21no—
911C2×D43—21no—
912C2×D43—21no—
913C2×D43—21no—
914C2×D43—21no—
915C2×D43—21no—
916C2×D43—21no—
917C2×D43—21no—
918C2×D43—21no—
919C2×D43—21no—
920C2×D43—44no—
921C2×D43—41no—
922C2×D43—41no—
923C2×D43—41no—
924C2×D43—41no—
925C2×D43—41no—
926C2×D43—41no—
927C2×D43—82no—
928C2×D43—82no—
929C2×D43—84no—
930C2×D43#53412yes—
931C2×D43#57712yes—
932C4×C43—21no—
933C4×C43—21no—
934C4×C43—21no—
935C4×C43—41no—
936C4×C43—41no—
937C4×C43—41no—
938C4×C43—41no—
939C4×C43—41no—
940C4×C43—41no—
941C4×C43—41no—
942C4×C43C2×H(5,𝔽2)11yescharacteristic
943C4×C43C2×H(5,𝔽2)11yescharacteristic
944Dic43—21no—
945Dic43—21no—
946Dic43—21no—
947Dic43—41no—
948Dic43—41no—
949Dic43—41no—
950Dic43—41no—
951Dic43—41no—
952Dic43—41no—
953Dic43#53412yes—
954#3489—431no—
955C2×#537—431no—
956#3204—431no—
957#3204—431no—
958#3204—431no—
959#3204—431no—
960#3201—431no—
961#3201—431no—
962#3201—431no—
963#3201D4311yescharacteristic, complemented
964#3195—431no—
965#3195—431no—
966#3194—431no—
967#3194—431no—
968#3190—431no—
969#3190—431no—
970#3187—431no—
971#3187—431no—
972#3099—431no—
973#3099—431no—
974#3092—431no—
975C2×#483—431no—
976#3063—431no—
977#3063—431no—
978#3060—431no—
979#3060—431no—
980#3013—431no—
981#3013—431no—
982#3007—431no—
983#3002—431no—
984#2880—431no—
985C2×C43—41no—
986C2×C43—41no—
987C2×C43—41no—
988C2×C43—81no—
989C2×C43C2×#53411yescharacteristic
990C2×C43C2×#57711yescharacteristic
991C2×C43#358611yescharacteristic
992D43—22no—
993D43—22no—
994D43—41no—
995D43—41no—
996D43—81no—
997D43—81no—
998C2×2−1+4—431no—
999C22×#41—431no—
1000C22×#41—431no—
1001C2×#137—431no—
1002C2×#137—431no—
1003C2×#135—431no—
1004C2×#135—431no—
1005C2×#131—431no—
1006C2×#131—431no—
1007D4×Q8—861no—
1008#548—861no—
1009#547—861no—
1010#547—861no—
1011#547—861no—
1012#546—861no—
1013#546—861no—
1014#546—861no—
1015#537—431no—
1016#537—431no—
1017#537—431no—
1018#537—431no—
1019#537—431no—
1020#537—431no—
1021#537—431no—
1022#537—431no—
1023#537—431no—
1024#537—431no—
1025#537—861no—
1026#537—861no—
1027#537—861no—
1028#537—861no—
1029#537C2×D4311yescharacteristic
1030#536—431no—
1031#536—431no—
1032#536C2×D4311yescharacteristic, complemented
1033#525—431no—
1034#525—431no—
1035#525—431no—
1036C2×C22⋊Q8—431no—
1037C2×C22⋊Q8—431no—
1038C2×C22⋊Q8—431no—
1039C2×C22⋊Q8—431no—
1040C2×C22⋊Q8—431no—
1041C2×C22⋊Q8—861no—
1042C2×#121—431no—
1043C2×#121—431no—
1044C2×#121—861no—
1045C2×#121—861no—
1046C2×#121—861no—
1047#520—431no—
1048C22×C4⋊C4—431no—
1049#485—431no—
1050#485—431no—
1051#485—431no—
1052#485C2×D4311yescharacteristic, complemented
1053#484—431no—
1054#484C2×D4311yescharacteristic, complemented
1055#483—431no—
1056#483—431no—
1057#483—431no—
1058#483—431no—
1059#483—431no—
1060#483—431no—
1061#483—431no—
1062#483—431no—
1063#483—431no—
1064#483—431no—
1065#483—431no—
1066#483—431no—
1067#483—431no—
1068#483C2×D4311yescharacteristic, complemented
1069#482—431no—
1070#482—431no—
1071#482—431no—
1072#482C2×D4311yescharacteristic, complemented
1073#481—431no—
1074#481—431no—
1075#481—431no—
1076#481—431no—
1077#481—431no—
1078#481—431no—
1079#480—431no—
1080#480—431no—
1081#470—431no—
1082#470—431no—
1083#470—431no—
1084#470—431no—
1085#470—431no—
1086#470—431no—
1087#470—431no—
1088#470C2×D4311yescharacteristic, complemented
1089#469—431no—
1090#469—431no—
1091#469—431no—
1092#469—431no—
1093#468—431no—
1094#468—431no—
1095#468—431no—
1096#468C2×D4311yescharacteristic, complemented
1097#467—431no—
1098#467—431no—
1099#467—431no—
1100#467C2×D4311yescharacteristic, complemented
1101#465—431no—
1102#465—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#465C2×D4311yescharacteristic, complemented
1113#452—431no—
1114#452—431no—
1115#452—431no—
1116#452—431no—
1117#452—431no—
1118#452—431no—
1119#452—431no—
1120#452—431no—
1121#452C2×D4311yescharacteristic, complemented
1122#452C2×D4311yescharacteristic, complemented
1123#451—431no—
1124#451—431no—
1125#451—431no—
1126#451—431no—
1127#451—431no—
1128#451—431no—
1129#451C2×D4311yescharacteristic, complemented
1130#450—431no—
1131#450—431no—
1132#450—431no—
1133#449—431no—
1134#449—431no—
1135#449—431no—
1136#449—431no—
1137#449—431no—
1138#449—431no—
1139#448—431no—
1140#448—431no—
1141#448—431no—
1142#448—431no—
1143#448C2×D4311yescharacteristic, complemented
1144#447—431no—
1145#428—431no—
1146#428—431no—
1147C2×#106—431no—
1148C2×#106—431no—
1149#417—431no—
1150#417—431no—
1151#417—431no—
1152#417—431no—
1153#416—431no—
1154#416—431no—
1155C2×#103—431no—
1156C2×#103—431no—
1157#408—431no—
1158#408—431no—
1159#408—431no—
1160#408—431no—
1161#408—431no—
1162#408C2×D4311yescharacteristic, complemented
1163#407—431no—
1164#407—431no—
1165#407—431no—
1166C2×C22⋊C8—431no—
1167C2×C22⋊C8—431no—
1168C2×C22⋊C8—431no—
1169C43#6076311yescharacteristic, complemented, Sylow
11702−1+4—1722no—
11712−1+4—1722no—
1172C2×#41—431no—
1173C2×#41—431no—
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—431no—
1185C2×#41—861no—
1186C2×#41—861no—
1187C2×#41—861no—
1188C2×#41—861no—
1189C2×#41—861no—
1190C2×#41—1722no—
1191C2×#41—1722no—
1192C2×#41—1722no—
1193C2×#41—1722no—
1194C2×#41C22×D4311yescharacteristic
1195C2×#41C22×D4311yescharacteristic
1196C22×Q8—431no—
1197C22×Q8—431no—
1198C22×Q8—431no—
1199C22×Q8—431no—
1200C22×Q8—861no—
1201C22×Q8C22×D4311yescharacteristic
1202C22×D4—431no—
1203C22×D4—431no—
1204C22×D4—431no—
1205C22×D4—431no—
1206C22×D4—861no—
1207C22×D4—861no—
1208C22×D4—861no—
1209C23×C4—431no—
1210C23×C4—431no—
1211C23×C4—431no—
1212C23×C4—861no—
1213C23×C4—861no—
1214#137—1722no—
1215#137—1722no—
1216#135—1722no—
1217#135—1722no—
1218C2×Q16—431no—
1219C2×Q16—431no—
1220C2×Q16—431no—
1221C2×Q16—431no—
1222C2×Q16C22×D4311yescharacteristic
1223C2×Q16C22×D4311yescharacteristic
1224C2×SD16—431no—
1225C2×SD16—431no—
1226C2×SD16—431no—
1227C2×SD16—431no—
1228C2×SD16—431no—
1229C2×SD16—431no—
1230C2×SD16C22×D4311yescharacteristic
1231C2×SD16C22×D4311yescharacteristic
1232C2×D8—431no—
1233C2×D8—431no—
1234#131—1722no—
1235#131—1722no—
1236C2×M16—431no—
1237C2×M16—431no—
1238C2×M16—431no—
1239C2×M16—431no—
1240C2×M16—431no—
1241C2×M16C22×D4311yescharacteristic
1242C22×C8—431no—
1243C22×C8—431no—
1244C22×C8—431no—
1245C22×C8—431no—
1246C22×C8—431no—
1247C22×C8C22×D4311yescharacteristic
1248C4⋊Q8—21no—
1249C4⋊Q8—861no—
1250C4⋊Q8—861no—
1251#124—21no—
1252#124—861no—
1253#124—861no—
1254#123—21no—
1255#123—21no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263C22⋊Q8—21no—
1264C22⋊Q8—431no—
1265C22⋊Q8—431no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—431no—
1275C22⋊Q8—431no—
1276C22⋊Q8—431no—
1277C22⋊Q8—431no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8—861no—
1283C22⋊Q8—861no—
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⋊Q8—861no—
1297C22⋊Q8—861no—
1298C22⋊Q8C22×D4311yescharacteristic
1299C22⋊Q8C22×D4311yescharacteristic
1300C22⋊Q8C22×D4311yescharacteristic
1301C22⋊Q8C22×D4311yescharacteristic
1302C22⋊Q8C22×D4311yescharacteristic
1303C22⋊Q8C22×D4311yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—21no—
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—431no—
1316#121—431no—
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#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#121—861no—
1346#121—861no—
1347#121—861no—
1348#121—861no—
1349#121—861no—
1350#121—861no—
1351#121C22×D4311yescharacteristic
1352#121C22×D4311yescharacteristic
1353#120—861no—
1354#120—861no—
1355#120—861no—
1356C4×Q8—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4—861no—
1361C4×D4—861no—
1362C4×D4—861no—
1363C4×D4—861no—
1364C4×D4—861no—
1365C4×D4—861no—
1366#117—431no—
1367#117—431no—
1368#117C22×D4311yescharacteristic
1369C2×C4⋊C4—431no—
1370C2×C4⋊C4—431no—
1371C2×C4⋊C4—431no—
1372C2×C4⋊C4—431no—
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⋊C4—861no—
1381C2×C4⋊C4—861no—
1382C2×C4⋊C4—861no—
1383C2×C4⋊C4—861no—
1384C2×C4⋊C4—861no—
1385C2×C4⋊C4C22×D4311yescharacteristic
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—
1393#107—431no—
1394#107—431no—
1395#107C22×D4311yescharacteristic
1396#107C22×D4311yescharacteristic
1397#106—431no—
1398#106—431no—
1399#106—431no—
1400#106—431no—
1401#106—431no—
1402#106—431no—
1403#106—431no—
1404#106—431no—
1405#106—431no—
1406#106—431no—
1407#106C22×D4311yescharacteristic
1408#106C22×D4311yescharacteristic
1409#103—431no—
1410#103—431no—
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#103C22×D4311yescharacteristic
1424#103C22×D4311yescharacteristic
1425#103C22×D4311yescharacteristic
1426#103C22×D4311yescharacteristic
1427#103C22×D4311yescharacteristic
1428#103C22×D4311yescharacteristic
1429#102—431no—
1430#102—431no—
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
1441C22⋊C8—431no—
1442C22⋊C8—431no—
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⋊C8C22×D4311yescharacteristic
1454C22⋊C8C22×D4311yescharacteristic
1455C22⋊C8C22×D4311yescharacteristic
1456C22⋊C8C22×D4311yescharacteristic
1457C24—431no—
1458C24—431no—
1459C24—431no—
1460C24—861no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—862no—
1466#41—862no—
1467#41—862no—
1468#41—862no—
1469#41—862no—
1470#41—862no—
1471#41—862no—
1472#41—862no—
1473#41—862no—
1474#41—862no—
1475#41—1721no—
1476#41—1721no—
1477#41—1721no—
1478#41—1721no—
1479#41—1721no—
1480#41—1721no—
1481#41—1724no—
1482#41—1724no—
1483#41—1724no—
1484#41—1722no—
1485#41—1722no—
1486#41—1722no—
1487#41—1724no—
1488#41—1722no—
1489#41—1721no—
1490#41—1721no—
1491#41—1724no—
1492C2×Q8—21no—
1493C2×Q8—41no—
1494C2×Q8—41no—
1495C2×Q8—431no—
1496C2×Q8—431no—
1497C2×Q8—431no—
1498C2×Q8—431no—
1499C2×Q8—431no—
1500C2×Q8—861no—
1501C2×Q8—861no—
1502C2×Q8—861no—
1503C2×Q8—862no—
1504C2×Q8—862no—
1505C2×Q8—1721no—
1506C2×Q8—1721no—
1507C2×Q8—1721no—
1508C2×Q8—1721no—
1509C2×Q8—1722no—
1510C2×Q8—1724no—
1511C2×Q8D4×D4311yescharacteristic
1512C2×Q8C23×D4311yescharacteristic
1513C2×Q8C23×D4311yescharacteristic
1514C2×Q8C23×D4311yescharacteristic
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—431no—
1519C2×D4—431no—
1520C2×D4—431no—
1521C2×D4—431no—
1522C2×D4—431no—
1523C2×D4—431no—
1524C2×D4—431no—
1525C2×D4—431no—
1526C2×D4—431no—
1527C2×D4—431no—
1528C2×D4—431no—
1529C2×D4—861no—
1530C2×D4—861no—
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—861no—
1542C2×D4—861no—
1543C2×D4—861no—
1544C2×D4—861no—
1545C2×D4—861no—
1546C2×D4—3442no—
1547C2×D4—3442no—
1548C2×D4—1721no—
1549C2×D4—1721no—
1550C2×D4—1722no—
1551C2×D4—1722no—
1552C2×D4—1722no—
1553C2×D4—1724no—
1554C2×D4D4×D4311yescharacteristic
1555C2×D4D4×D4311yescharacteristic
1556C2×D4D4×D4311yescharacteristic
1557C2×D4C23×D4311yescharacteristic
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—431no—
1562C22×C4—431no—
1563C22×C4—431no—
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—862no—
1575C22×C4—862no—
1576C22×C4—861no—
1577C22×C4—861no—
1578C22×C4—861no—
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—861no—
1593C22×C4—3442no—
1594C22×C4—1721no—
1595C22×C4—1721no—
1596C22×C4—1721no—
1597C22×C4—1721no—
1598C22×C4—1724no—
1599C22×C4C23×D4311yescharacteristic
1600C22×C4C23×D4311yescharacteristic
1601C22×C4C23×D4311yescharacteristic
1602Q16—41no—
1603Q16—41no—
1604Q16—1721no—
1605Q16—1721no—
1606Q16—1721no—
1607Q16—1721no—
1608SD16—41no—
1609SD16—41no—
1610SD16—1721no—
1611SD16—1721no—
1612SD16—1721no—
1613SD16—1721no—
1614SD16—1721no—
1615SD16—1721no—
1616D8—1721no—
1617D8—1721no—
1618M16—41no—
1619M16—862no—
1620M16—862no—
1621M16—1721no—
1622M16—1721no—
1623M16—1721no—
1624C2×C8—41no—
1625C2×C8—431no—
1626C2×C8—431no—
1627C2×C8—431no—
1628C2×C8—431no—
1629C2×C8—862no—
1630C2×C8—862no—
1631C2×C8—1721no—
1632C2×C8—1721no—
1633C2×C8—1721no—
1634C2×C8C23×D4311yescharacteristic
1635C2×C8C23×D4311yescharacteristic
1636C2×C8C23×D4311yescharacteristic
1637C2×C8C23×D4311yescharacteristic
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—431no—
1646C4⋊C4—431no—
1647C4⋊C4—431no—
1648C4⋊C4—431no—
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⋊C4—861no—
1666C4⋊C4—861no—
1667C4⋊C4—861no—
1668C4⋊C4—861no—
1669C4⋊C4—861no—
1670C4⋊C4—861no—
1671C4⋊C4C23×D4311yescharacteristic
1672C4⋊C4C23×D4311yescharacteristic
1673C4⋊C4C23×D4311yescharacteristic
1674C4⋊C4C23×D4311yescharacteristic
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
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—
1708C22⋊C4—861no—
1709C22⋊C4—861no—
1710C42—21no—
1711C42—861no—
1712C42—861no—
1713C23—21no—
1714C23—431no—
1715C23—431no—
1716C23—431no—
1717C23—431no—
1718C23—862no—
1719C23—862no—
1720C23—862no—
1721C23—862no—
1722C23—861no—
1723C23—861no—
1724C23—1721no—
1725C23—1721no—
1726C23—1721no—
1727C23—1721no—
1728C23—1721no—
1729C23—1722no—
1730C23—1722no—
1731C23—1722no—
1732C23C2×D4×D4311yescharacteristic
1733C23C2×D4×D4311yescharacteristic
1734C23C2×D4×D4311yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—41no—
1742Q8—42no—
1743Q8—862no—
1744Q8—862no—
1745Q8—861no—
1746Q8—861no—
1747Q8—861no—
1748Q8—861no—
1749Q8—1721no—
1750Q8—1722no—
1751Q8—1722no—
1752Q8—1722no—
1753D4—21no—
1754D4—21no—
1755D4—41no—
1756D4—41no—
1757D4—41no—
1758D4—42no—
1759D4—81no—
1760D4—81no—
1761D4—862no—
1762D4—862no—
1763D4—862no—
1764D4—862no—
1765D4—862no—
1766D4—862no—
1767D4—861no—
1768D4—861no—
1769D4—861no—
1770D4—861no—
1771D4—3441no—
1772D4—3441no—
1773D4—3441no—
1774D4—3441no—
1775D4—3441no—
1776D4—3441no—
1777D4—3441no—
1778D4—3441no—
1779D4—3441no—
1780D4—1721no—
1781D4—1722no—
1782D4—1722no—
1783D4—1722no—
1784D4—1722no—
1785D4—1721no—
1786D4—1721no—
1787D4—1722no—
1788D4—1722no—
1789D4—1722no—
1790D4—1722no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—81no—
1807C2×C4—431no—
1808C2×C4—432no—
1809C2×C4—432no—
1810C2×C4—431no—
1811C2×C4—431no—
1812C2×C4—431no—
1813C2×C4—862no—
1814C2×C4—862no—
1815C2×C4—862no—
1816C2×C4—861no—
1817C2×C4—861no—
1818C2×C4—861no—
1819C2×C4—861no—
1820C2×C4—861no—
1821C2×C4—861no—
1822C2×C4—861no—
1823C2×C4—861no—
1824C2×C4—861no—
1825C2×C4—861no—
1826C2×C4—861no—
1827C2×C4—861no—
1828C2×C4—3441no—
1829C2×C4—3441no—
1830C2×C4—3441no—
1831C2×C4—3441no—
1832C2×C4—3441no—
1833C2×C4—3441no—
1834C2×C4—1721no—
1835C2×C4—1721no—
1836C2×C4—1721no—
1837C2×C4—1721no—
1838C2×C4—1722no—
1839C2×C4—1722no—
1840C2×C4—1722no—
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×C4C2×D4×D4311yescharacteristic
1852C2×C4C2×D4×D4311yescharacteristic
1853C2×C4C2×D4×D4311yescharacteristic
1854C2×C4C24×D4311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—861no—
1860C8—861no—
1861C8—861no—
1862C8—861no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—432no—
1876C22—432no—
1877C22—861no—
1878C22—861no—
1879C22—861no—
1880C22—861no—
1881C22—861no—
1882C22—861no—
1883C22—861no—
1884C22—861no—
1885C22—861no—
1886C22—861no—
1887C22—3442no—
1888C22—3442no—
1889C22—3444no—
1890C22—1724no—
1891C22—1721no—
1892C22—1721no—
1893C22—1721no—
1894C22—1721no—
1895C22—1721no—
1896C22—1721no—
1897C22C22×D4×D4311yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—432no—
1909C4—861no—
1910C4—861no—
1911C4—861no—
1912C4—1721no—
1913C4—1721no—
1914C4—1721no—
1915C4—1721no—
1916C4—1721no—
1917C4—1721no—
1918C4H(5,𝔽2)×D4311yescharacteristic
1919C4H(5,𝔽2)×D4311yescharacteristic
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—81no—
1924C2—862no—
1925C2—862no—
1926C2—3441no—
1927C2—3441no—
1928C2—1721no—
1929C2—1721no—
1930C2#534×D4311yescharacteristic
1931C2#577×D4311yescharacteristic
1932C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3201C2
socleC22×C43C23×D4
hypercenter#3201D43
hypocenterC43#60763
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. #537×D43C2semidirect
3. #19145507C2semidirect
4. #19145505C2semidirect
5. #19145503C2semidirect
6. #19145501C2semidirect
7. #19145482C2semidirect
8. #19145477C2semidirect
9. #19145474C2semidirect
10. #19145417C2semidirect
11. #19145415C2semidirect
12. #19145413C2semidirect
13. #19145410C2semidirect
14. #19145380C2semidirect
15. #19145377C2semidirect
16. #19145350C2semidirect
17. #19145347C2semidirect
18. #19144587C2semidirect
19. #19144581C2semidirect
20. #19144522C2semidirect
21. #483×D43C2semidirect
22. #19144285C2semidirect
23. #19144281C2semidirect
24. #19144259C2semidirect
25. #19144252C2semidirect
26. #19143911C2semidirect
27. #19143905C2semidirect
28. #19143852C2semidirect
29. #19143816C2semidirect
30. #19143043C2semidirect
31. C43×#3201C2semidirect
32. C2×#13063373C22semidirect
35. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
37. C2×#13063348C22semidirect
38. C2×#13063346C22semidirect
39. C2×#13063333C22semidirect
40. C2×#13063331C22semidirect
53. #14583479C22semidirect
54. #14583479C22semidirect
60. #14583477C22semidirect
63. #14583472C22semidirect
64. #14583472C22semidirect
79. #14583379C22semidirect
81. #14583242C22semidirect
82. #14583240C22semidirect
83. #14583238C22semidirect
84. #14583232C22semidirect
87. #14583231C22semidirect
88. #14583230C22semidirect
89. #14583230C22semidirect
90. #14583229C22semidirect
95. #14583228C22semidirect
96. #14583227C22semidirect
97. #14583227C22semidirect
98. #14583226C22semidirect
99. #14583223C22semidirect
100. #14583222C22semidirect
101. #14583219C22semidirect
102. #14583218C22semidirect
103. #14583218C22semidirect
104. #14583217C22semidirect
105. #14583216C22semidirect
106. #14583215C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
113. #14583155C22semidirect
114. #14583154C22semidirect
115. #14583154C22semidirect
116. #14583153C22semidirect
117. #14583152C22semidirect
118. #14583151C22semidirect
119. #14583150C22semidirect
120. #14583147C22semidirect
121. #14583146C22semidirect
122. #14583144C22semidirect
123. #14583141C22semidirect
124. #14583139C22semidirect
125. #14583138C22semidirect
126. #14583131C22semidirect
127. #14583131C22semidirect
128. #14583131C22semidirect
129. #14583130C22semidirect
130. #14583130C22semidirect
131. #14583129C22semidirect
132. #14583128C22semidirect
133. #14583128C22semidirect
134. #14583126C22semidirect
135. #14583125C22semidirect
136. #14583125C22semidirect
137. #14583064C22semidirect
138. #14583063C22semidirect
139. #14583063C22semidirect
140. #14583061C22semidirect
141. #14583060C22semidirect
142. #14583059C22semidirect
143. #14583059C22semidirect
144. #14583059C22semidirect
146. #14583056C22semidirect
147. #14583055C22semidirect
150. #14583053C22semidirect
154. #14583047C22semidirect
155. #14583046C22semidirect
156. #14583046C22semidirect
157. #14583044C22semidirect
158. #14583043C22semidirect
159. #14583042C22semidirect
161. #14583039C22semidirect
162. #14583038C22semidirect
163. #14583036C22semidirect
165. #14582940C22semidirect
166. #14582940C22semidirect
167. #106×D43C22semidirect
168. #106×D43C22semidirect
169. #14582899C22semidirect
170. #14582899C22semidirect
171. #14582899C22semidirect
172. #14582897C22semidirect
173. #14582894C22semidirect
174. #14582892C22semidirect
175. #103×D43C22semidirect
176. #103×D43C22semidirect
177. #14582866C22semidirect
178. #14582864C22semidirect
179. #14582864C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
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
963. #3201D43semidirect
1032. #536C2×D43semidirect
1052. #485C2×D43semidirect
1054. #484C2×D43semidirect
1068. #483C2×D43semidirect
1072. #482C2×D43semidirect
1088. #470C2×D43semidirect
1096. #468C2×D43semidirect
1100. #467C2×D43semidirect
1112. #465C2×D43semidirect
1121. #452C2×D43semidirect
1122. #452C2×D43semidirect
1129. #451C2×D43semidirect
1143. #448C2×D43semidirect
1162. #408C2×D43semidirect
1169. C43#60763semidirect

Maximal subgroups

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

subgroupindex
#191482732
#537×D432
#191455072
#191455052
#191455032
#191455012
#191454822
#191454772
#191454742
#191454172
#191454152
#191454132
#191454102
#191453802
#191453772
#191453502
#191453472
#191445872
#191445812
#191445222
#483×D432
#191442852
#191442812
#191442592
#191442522
#191439112
#191439052
#191438522
#191438162
#191430432
C43×#32012
#6076343