Finite Group Databasebeta

← #25967400

Subgroups — #25967400

Order 11008.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147923C211yesmaximal, characteristic, complemented
2#537×D43C211yesmaximal, characteristic, complemented
3#19145507C211yesmaximal, characteristic, complemented
4#19145504C211yesmaximal, characteristic, complemented
5#19145503C211yesmaximal, characteristic, complemented
6#19145501C211yesmaximal, characteristic, complemented
7#19145499C211yesmaximal, characteristic, complemented
8#19145495C211yesmaximal, characteristic, complemented
9#19145492C211yesmaximal, characteristic, complemented
10#19145482C211yesmaximal, characteristic, complemented
11#19145480C211yesmaximal, characteristic, complemented
12#19145474C211yesmaximal, characteristic, complemented
13#19145472C211yesmaximal, characteristic, complemented
14#19145454C211yesmaximal, characteristic, complemented
15#19145448C211yesmaximal, characteristic, complemented
16#19145446C211yesmaximal, characteristic, complemented
17#19145440C211yesmaximal, characteristic, complemented
18#19144540C211yesmaximal, characteristic, complemented
19#19144530C211yesmaximal, characteristic, complemented
20#19144522C211yesmaximal, characteristic, complemented
21#19144514C211yesmaximal, characteristic, complemented
22#19144222C211yesmaximal, characteristic, complemented
23#19144220C211yesmaximal, characteristic, complemented
24#19144211C211yesmaximal, characteristic, complemented
25#19144209C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27#19143844C211yesmaximal, characteristic, complemented
28#19143838C211yesmaximal, characteristic, complemented
29#19143833C211yesmaximal, characteristic, complemented
30#19143037C211yesmaximal, characteristic, complemented
31C43×#3203C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic, complemented
35C2×#13063357C2211yescharacteristic
36C2×#13063354C2211yescharacteristic
37C2×#13063352C2211yescharacteristic
38C2×#13063349C2211yescharacteristic
39C22×#10621872C2211yescharacteristic, complemented
40C2×M16×D43C2211yescharacteristic, complemented
41#14583480C2211yescharacteristic
42#14583480C2211yescharacteristic, complemented
43#14583479—21no—
44#14583479C2211yescharacteristic
45#14583479C2211yescharacteristic, complemented
46#14583478—21no—
47#14583478C2211yescharacteristic
48#14583478C2211yescharacteristic, complemented
49#14583477C2211yescharacteristic
50#14583477C2211yescharacteristic, complemented
51#14583477C2211yescharacteristic, complemented
52#14583477C2211yescharacteristic, complemented
53#14583476—21no—
54#14583476—21no—
55#14583472—21no—
56#14583472C2211yescharacteristic, complemented
57#14583472C2211yescharacteristic, complemented
58#14583465—21no—
59#14583465C2211yescharacteristic, complemented
60#14583465C2211yescharacteristic, complemented
61#14583457—21no—
62#14583457—21no—
63#14583444—21no—
64#14583444—21no—
65#14583412—21no—
66#14583412C2211yescharacteristic
67#14583412C2211yescharacteristic
68#14583409—21no—
69#14583409C2211yescharacteristic
70#14583409C2211yescharacteristic
71C22⋊Q8×D43—21no—
72C22⋊Q8×D43C2211yescharacteristic
73C22⋊Q8×D43C2211yescharacteristic, complemented
74#121×D43—21no—
75#121×D43—21no—
76#121×D43—21no—
77#121×D43C2211yescharacteristic
78#121×D43C2211yescharacteristic, complemented
79C2×#13063283C2211yescharacteristic
80C2×C4⋊C4×D43C2211yescharacteristic, complemented
81#14583242C2211yescharacteristic, complemented
82#14583242C2211yescharacteristic, complemented
83#14583238C2211yescharacteristic, complemented
84#14583238C2211yescharacteristic, complemented
85#14583236C2211yescharacteristic, complemented
86#14583236C2211yescharacteristic, complemented
87#14583234C2211yescharacteristic, complemented
88#14583232C2211yescharacteristic, complemented
89#14583230C2211yescharacteristic, complemented
90#14583230C2211yescharacteristic, complemented
91#14583229C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583227C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583226C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583222C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583218C2211yescharacteristic, complemented
101#14583217C2211yescharacteristic, complemented
102#14583216C2211yescharacteristic, complemented
103#14583216C2211yescharacteristic, complemented
104#14583215C2211yescharacteristic, complemented
105#14583214C2211yescharacteristic, complemented
106#14583214C2211yescharacteristic, complemented
107#14583212C2211yescharacteristic, complemented
108#14583210C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583152C2211yescharacteristic, complemented
114#14583151C2211yescharacteristic, complemented
115#14583150C2211yescharacteristic, complemented
116#14583149C2211yescharacteristic, complemented
117#14583148C2211yescharacteristic, complemented
118#14583147C2211yescharacteristic, complemented
119#14583146C2211yescharacteristic, complemented
120#14583146C2211yescharacteristic, complemented
121#14583144C2211yescharacteristic, complemented
122#14583143C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583139C2211yescharacteristic, complemented
125#14583138C2211yescharacteristic, complemented
126#14583136C2211yescharacteristic, complemented
127#14583134C2211yescharacteristic, complemented
128#14583133C2211yescharacteristic, complemented
129#14583131C2211yescharacteristic, complemented
130#14583130C2211yescharacteristic, complemented
131#14583128C2211yescharacteristic, complemented
132#14583128C2211yescharacteristic, complemented
133#14583127C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic, complemented
138#14583063C2211yescharacteristic, complemented
139#14583063C2211yescharacteristic, complemented
140#14583062C2211yescharacteristic, complemented
141#14583061C2211yescharacteristic, complemented
142#14583061C2211yescharacteristic, complemented
143#14583060C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583059C2211yescharacteristic, complemented
146#14583058C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583053C2211yescharacteristic, complemented
149#14583051C2211yescharacteristic, complemented
150#14583048C2211yescharacteristic, complemented
151#14583047C2211yescharacteristic, complemented
152#14583046C2211yescharacteristic, complemented
153#14583046C2211yescharacteristic, complemented
154#14583045C2211yescharacteristic, complemented
155#14583044C2211yescharacteristic, complemented
156#14583044C2211yescharacteristic, complemented
157#14583043C2211yescharacteristic, complemented
158#14583042C2211yescharacteristic, complemented
159#14583042C2211yescharacteristic, complemented
160#14583041C2211yescharacteristic, complemented
161#14583039C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583034C2211yescharacteristic, complemented
164#14583031C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic, complemented
167#14582940C2211yescharacteristic, complemented
168#14582940C2211yescharacteristic, complemented
169#14582906C2211yescharacteristic, complemented
170#14582906C2211yescharacteristic, complemented
171#14582902C2211yescharacteristic, complemented
172#14582902C2211yescharacteristic, complemented
173#14582899C2211yescharacteristic
174#14582899C2211yescharacteristic
175#14582897C2211yescharacteristic
176#14582897C2211yescharacteristic
177#14582867C2211yescharacteristic, complemented
178#14582866C2211yescharacteristic, complemented
179#14582865C2211yescharacteristic, complemented
180#14582864C2211yescharacteristic, complemented
181#14582864C2211yescharacteristic, complemented
182#14582864C2211yescharacteristic, complemented
183#14582864C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185#14582861C2211yescharacteristic
186#14582861C2211yescharacteristic, complemented
187#14582861C2211yescharacteristic, complemented
188C43×#537C2211yescharacteristic, complemented
189C43×#537C2211yescharacteristic, complemented
190C43×#484C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#480C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic, complemented
201C43×#449C2211yescharacteristic, complemented
202C43×#408C2211yescharacteristic, complemented
203C2×#10621902D411yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900—21no—
215C2×#10621900D411yescharacteristic
216C2×#10621900D411yescharacteristic
217C2×#10621900D411yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×#10621900C2311yescharacteristic
220#41×D43—42no—
221#41×D43—42no—
222#41×D43—42no—
223#41×D43—42no—
224#41×D43—42no—
225#41×D43—42no—
226C2×Q8×D43D411yescharacteristic
227C2×Q8×D43C2311yescharacteristic
228C2×Q8×D43C2311yescharacteristic
229C2×D4×D43—21no—
230C2×D4×D43—21no—
231C2×D4×D43—21no—
232C2×D4×D43—21no—
233C2×D4×D43D411yescharacteristic
234C2×D4×D43D411yescharacteristic
235C2×D4×D43D411yescharacteristic
236C2×D4×D43C2311yescharacteristic
237C2×D4×D43C2311yescharacteristic
238C22×C4×D43—21no—
239C22×C4×D43—21no—
240C22×C4×D43—21no—
241C22×C4×D43C2311yescharacteristic
242C22×C4×D43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244#13063357—42no—
245#13063354—42no—
246#13063352—42no—
247#13063349—42no—
248C2×Dic172C2311yescharacteristic
249C2×#10621885C2311yescharacteristic
250C2×#10621885C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621873C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×D344C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621882C2311yescharacteristic
260C2×#10621877C2311yescharacteristic
261C2×#10621872—42no—
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C2×#10621872C2311yescharacteristic
268M16×D43—42no—
269C22×C43⋊C8C2311yescharacteristic
270C2×C8×D43C2311yescharacteristic
271C2×C8×D43C2311yescharacteristic
272#13063324—21no—
273#13063324—21no—
274#13063321—21no—
275#13063321—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063304—21no—
295#13063304—21no—
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063301—21no—
309#13063301—21no—
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063300—21no—
315#13063300—21no—
316#13063300—21no—
317#13063300—21no—
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063300C2311yescharacteristic
321#13063300C2311yescharacteristic
322#13063299—21no—
323#13063299—21no—
324#13063299—21no—
325#13063299—21no—
326#13063299—21no—
327#13063299—21no—
328#13063299C2311yescharacteristic
329#13063299C2311yescharacteristic
330#13063299C2311yescharacteristic
331#13063299C2311yescharacteristic
332#13063298—21no—
333#13063298—21no—
334#13063298—21no—
335#13063298—21no—
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#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063297—21no—
351#13063297—21no—
352#13063296—21no—
353#13063296—21no—
354#13063296—21no—
355#13063296—21no—
356#13063296C2311yescharacteristic
357#13063296C2311yescharacteristic
358#13063296C2311yescharacteristic
359#13063296C2311yescharacteristic
360#13063295—21no—
361#13063295—21no—
362#13063295—21no—
363#13063295—21no—
364#13063293—21no—
365#13063293—21no—
366#13063293—21no—
367#13063293—21no—
368D4×Dic43—21no—
369D4×Dic43—21no—
370#13063287—21no—
371#13063287—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376#13063283—21no—
377#13063283—21no—
378#13063283C2311yescharacteristic
379#13063283C2311yescharacteristic
380#13063283C2311yescharacteristic
381#13063283C2311yescharacteristic
382C2×C4⋊Dic43C2311yescharacteristic
383C2×C4⋊Dic43C2311yescharacteristic
384C2×Dic43⋊C4—21no—
385C4⋊C4×D43—21no—
386C4⋊C4×D43—21no—
387C4⋊C4×D43—21no—
388C4⋊C4×D43—21no—
389C4⋊C4×D43C2311yescharacteristic
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C4⋊C4×D43C2311yescharacteristic
393C2×(C2×D43)⋊C4—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C2×C4×Dic43—21no—
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063258C2311yescharacteristic
402#13063258C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063257C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
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
449C2×#41×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C22×C8×C43C2311yescharacteristic
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43—21no—
464#121×C43—21no—
465#121×C43—21no—
466#121×C43—21no—
467#121×C43—21no—
468#121×C43C2311yescharacteristic
469#121×C43C2311yescharacteristic
470#121×C43C2311yescharacteristic
471#121×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473C2×C4⋊C4×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#107×C43C2311yescharacteristic
476#107×C43C2311yescharacteristic
477#107×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43C2×D411yescharacteristic
493C23×D43C2×D411yescharacteristic
494C23×D43C2×D411yescharacteristic
495#41×C43—41no—
496#41×C43—41no—
497#41×C43—41no—
498#41×C43—41no—
499#41×C43—41no—
500#41×C43—41no—
501C2×Q8×C43C2×D411yescharacteristic
502C2×Q8×C43C2411yescharacteristic
503C2×Q8×C43C2411yescharacteristic
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43C2×D411yescharacteristic
511C2×D4×C43C2×D411yescharacteristic
512C2×D4×C43C2×D411yescharacteristic
513C2×D4×C43C2411yescharacteristic
514C2×D4×C43C2411yescharacteristic
515C22×C4×C43—21no—
516C22×C4×C43—21no—
517C22×C4×C43—21no—
518C22×C4×C43—21no—
519C22×C4×C43C2411yescharacteristic
520C22×C4×C43C2411yescharacteristic
521C22×C4×C43C2411yescharacteristic
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43C2×D411yescharacteristic
537C2×C22⋊D43C2×D411yescharacteristic
538C2×C22⋊D43C2×D411yescharacteristic
539C2×C22⋊D43C2×D411yescharacteristic
540C2×C22⋊D43C2×D411yescharacteristic
541C2×C22⋊D43C2×D411yescharacteristic
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43C2×D411yescharacteristic
547C22×Dic43C2×D411yescharacteristic
548C22×Dic43C2×D411yescharacteristic
549#10621902—22no—
550#10621902—22no—
551#10621902—42no—
552#10621902—41no—
553#10621902—41no—
554Q8×D43—22no—
555Q8×D43—22no—
556Q8×D43—41no—
557Q8×D43—41no—
558Q8×D43—42no—
559#10621900—22no—
560#10621900—22no—
561#10621900—41no—
562#10621900—41no—
563#10621900—42no—
564#10621900—42no—
565#10621900—42no—
566#10621900—44no—
567#10621900—44no—
568D4×D43—22no—
569D4×D43—22no—
570D4×D43—42no—
571D4×D43—42no—
572D4×D43—42no—
573D4×D43—44no—
574D4×D43—44no—
575D4×D43—41no—
576D4×D43—41no—
577D4×D43—82no—
578D4×D43—82no—
579#10621898—41no—
580#10621898—41no—
581#10621898—41no—
582#10621898—41no—
583#10621898—41no—
584#10621898—41no—
585#10621898—41no—
586#10621898—41no—
587#10621898—41no—
588#10621898—41no—
589#10621898—44no—
590#10621898—44no—
591C2×D172—21no—
592C2×D172—21no—
593C2×D172—21no—
594C2×D172—21no—
595C2×D172—21no—
596C2×D172—21no—
597C2×D172C2×D411yescharacteristic
598C2×D172C2×D411yescharacteristic
599C2×D172C2×D411yescharacteristic
600C2×D172C2411yescharacteristic
601C2×D172C2411yescharacteristic
602C2×C4×D43—22no—
603C2×C4×D43—22no—
604C2×C4×D43—22no—
605C2×C4×D43—22no—
606C2×C4×D43—22no—
607C2×C4×D43—22no—
608C2×C4×D43—21no—
609C2×C4×D43—21no—
610C2×C4×D43—21no—
611C2×C4×D43—21no—
612C2×C4×D43—21no—
613C2×C4×D43—21no—
614C2×C4×D43—21no—
615C2×C4×D43—21no—
616C2×C4×D43—21no—
617C2×C4×D43—21no—
618C2×C4×D43—44no—
619C2×C4×D43—44no—
620C2×C4×D43—82no—
621C2×C4×D43C2×D411yescharacteristic
622C2×C4×D43C2×D411yescharacteristic
623C2×C4×D43C2×D411yescharacteristic
624C2×C4×D43C2×D411yescharacteristic
625C2×C4×D43C2×D411yescharacteristic
626C2×C4×D43C2×D411yescharacteristic
627C2×C4×D43C2411yescharacteristic
628C2×C4×D43C2411yescharacteristic
629C2×C4×D43C2411yescharacteristic
630C2×C4×D43C2411yescharacteristic
631C2×Dic86—21no—
632C2×Dic86—21no—
633C2×Dic86C2×D411yescharacteristic
634C2×Dic86C2×D411yescharacteristic
635C2×Dic86C2×D411yescharacteristic
636C2×Dic86C2411yescharacteristic
637C2×Dic86C2411yescharacteristic
638Q16×C43—41no—
639SD16×C43—41no—
640SD16×C43—41no—
641D8×C43—41no—
642M16×C43—41no—
643C2×C8×C43—41no—
644C2×C8×C43C2411yescharacteristic
645C2×C8×C43C2411yescharacteristic
646C2×C8×C43C2411yescharacteristic
647C2×C8×C43C2411yescharacteristic
648C4⋊C4×C43—21no—
649C4⋊C4×C43—21no—
650C4⋊C4×C43—21no—
651C4⋊C4×C43—21no—
652C4⋊C4×C43—21no—
653C4⋊C4×C43—21no—
654C4⋊C4×C43C2411yescharacteristic
655C4⋊C4×C43C2411yescharacteristic
656C4⋊C4×C43C2411yescharacteristic
657C4⋊C4×C43C2411yescharacteristic
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—
665C22⋊C4×C43—21no—
666C22⋊Dic43—21no—
667C22⋊Dic43—21no—
668C22⋊Dic43—21no—
669C22⋊Dic43—21no—
670C22⋊Dic43—21no—
671C22⋊Dic43—21no—
672C22⋊Dic43—21no—
673C22⋊Dic43—21no—
674#10621885—41no—
675#10621885—41no—
676#10621884—41no—
677#10621884—41no—
678#10621883—41no—
679#10621883—41no—
680#10621882—41no—
681#10621882—41no—
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—
700(C2×D43)⋊C4—21no—
701(C2×D43)⋊C4—21no—
702C4⋊Dic43—21no—
703C4⋊Dic43—21no—
704C4⋊Dic43—21no—
705C4⋊Dic43—21no—
706C4⋊Dic43—21no—
707C4⋊Dic43—21no—
708C4⋊Dic43C2411yescharacteristic
709C4⋊Dic43C2411yescharacteristic
710C4⋊Dic43C2411yescharacteristic
711C4⋊Dic43C2411yescharacteristic
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—
724C4×Dic43—21no—
725C4×Dic43—21no—
726C4×Dic43—21no—
727C4×Dic43—21no—
728#10621877—41no—
729C2×C43⋊C8—41no—
730C2×C43⋊C8C2411yescharacteristic
731C2×C43⋊C8C2411yescharacteristic
732C2×C43⋊C8C2411yescharacteristic
733C2×C43⋊C8C2411yescharacteristic
734Dic172—41no—
735D344—41no—
736#10621873—41no—
737#10621873—41no—
738#10621872—22no—
739#10621872—22no—
740#10621872—22no—
741#10621872—22no—
742#10621872—41no—
743#10621872—41no—
744C8×D43—41no—
745C8×D43—41no—
746C23×C43—21no—
747C23×C43—21no—
748C23×C43C22×D411yescharacteristic
749C23×C43C22×D411yescharacteristic
750C23×C43C22×D411yescharacteristic
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—41no—
762C22×D43—42no—
763C22×D43—42no—
764C22×D43—42no—
765C22×D43—42no—
766C22×D43—81no—
767C22×D43—81no—
768C22×D43C22×D411yescharacteristic
769C22×D43C22×D411yescharacteristic
770C22×D43C22×D411yescharacteristic
771C22×D43C22×D411yescharacteristic
772Q8×C43—21no—
773Q8×C43—21no—
774Q8×C43—21no—
775Q8×C43—21no—
776Q8×C43—41no—
777D4×C43—21no—
778D4×C43—21no—
779D4×C43—21no—
780D4×C43—21no—
781D4×C43—41no—
782D4×C43—41no—
783D4×C43—41no—
784D4×C43—42no—
785D4×C43—42no—
786D4×C43—81no—
787D4×C43—81no—
788D4×C43—81no—
789D4×C43—81no—
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—21no—
798C2×C4×C43—21no—
799C2×C4×C43—21no—
800C2×C4×C43—21no—
801C2×C4×C43—21no—
802C2×C4×C43—42no—
803C2×C4×C43—42no—
804C2×C4×C43—81no—
805C2×C4×C43—81no—
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C22×D411yescharacteristic
808C2×C4×C43C22×D411yescharacteristic
809C2×C4×C43C2511yescharacteristic
810C22⋊D43—41no—
811C22⋊D43—41no—
812C22⋊D43—41no—
813C22⋊D43—41no—
814C22⋊D43—41no—
815C22⋊D43—41no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—42no—
819C22⋊D43—42no—
820C22⋊D43—42no—
821C22⋊D43—42no—
822C22⋊D43—81no—
823C22⋊D43—81no—
824C22⋊D43—81no—
825C22⋊D43—81no—
826C22⋊D43—81no—
827C22⋊D43—81no—
828C22⋊D43—81no—
829C22⋊D43—81no—
830C2×Dic43—22no—
831C2×Dic43—22no—
832C2×Dic43—22no—
833C2×Dic43—21no—
834C2×Dic43—21no—
835C2×Dic43—21no—
836C2×Dic43—21no—
837C2×Dic43—21no—
838C2×Dic43—21no—
839C2×Dic43—42no—
840C2×Dic43—42no—
841C2×Dic43—81no—
842C2×Dic43—81no—
843C2×Dic43C22×D411yescharacteristic
844C2×Dic43C22×D411yescharacteristic
845C2×Dic43C22×D411yescharacteristic
846C2×Dic43C22×D411yescharacteristic
847D172—21no—
848D172—21no—
849D172—21no—
850D172—21no—
851D172—41no—
852D172—41no—
853D172—41no—
854D172—42no—
855D172—42no—
856D172—81no—
857D172—81no—
858D172—81no—
859D172—81no—
860C4×D43—22no—
861C4×D43—22no—
862C4×D43—22no—
863C4×D43—21no—
864C4×D43—21no—
865C4×D43—21no—
866C4×D43—21no—
867C4×D43—21no—
868C4×D43—21no—
869C4×D43—22no—
870C4×D43—22no—
871C4×D43—22no—
872C4×D43—42no—
873C4×D43—42no—
874C4×D43—42no—
875C4×D43—42no—
876C4×D43—42no—
877C4×D43—42no—
878C4×D43—42no—
879C4×D43—42no—
880C4×D43—81no—
881C4×D43—81no—
882C4×D43H(5,𝔽2)12yes—
883C4×D43H(5,𝔽2)12yes—
884Dic86—21no—
885Dic86—21no—
886Dic86—21no—
887Dic86—21no—
888Dic86—41no—
889Dic86—41no—
890Dic86—41no—
891Dic86—42no—
892Dic86—42no—
893C8×C43—21no—
894C8×C43—21no—
895C8×C43—21no—
896C8×C43—21no—
897C43⋊C8—21no—
898C43⋊C8—21no—
899C43⋊C8—21no—
900C43⋊C8—21no—
901#60755—431nomaximal, Sylow
902C22×C43—21no—
903C22×C43—21no—
904C22×C43—21no—
905C22×C43—21no—
906C22×C43—21no—
907C22×C43—21no—
908C22×C43—21no—
909C22×C43—21no—
910C22×C43—21no—
911C22×C43—41no—
912C22×C43—41no—
913C22×C43—41no—
914C22×C43—41no—
915C22×C43—41no—
916C22×C43—41no—
917C22×C43C23×D411yescharacteristic
918C2×D43—21no—
919C2×D43—21no—
920C2×D43—21no—
921C2×D43—21no—
922C2×D43—21no—
923C2×D43—21no—
924C2×D43—21no—
925C2×D43—21no—
926C2×D43—21no—
927C2×D43—21no—
928C2×D43—21no—
929C2×D43—44no—
930C2×D43—41no—
931C2×D43—41no—
932C2×D43—41no—
933C2×D43—41no—
934C2×D43—41no—
935C2×D43—41no—
936C2×D43—82no—
937C2×D43—82no—
938C2×D43—84no—
939C2×D43—84no—
940C2×D43#53412yes—
941C4×C43—21no—
942C4×C43—21no—
943C4×C43—21no—
944C4×C43—41no—
945C4×C43—41no—
946C4×C43—41no—
947C4×C43—41no—
948C4×C43—41no—
949C4×C43—41no—
950C4×C43C2×H(5,𝔽2)11yescharacteristic
951C4×C43C2×H(5,𝔽2)11yescharacteristic
952Dic43—21no—
953Dic43—21no—
954Dic43—21no—
955Dic43—41no—
956Dic43—41no—
957Dic43—41no—
958Dic43—41no—
959Dic43—41no—
960Dic43—41no—
961Dic43#53412yes—
962#3449—431no—
963C2×#537—431no—
964#3204—431no—
965#3204—431no—
966#3204—431no—
967#3204—431no—
968#3203—431no—
969#3203—431no—
970#3203—431no—
971#3203D4311yescharacteristic, complemented
972#3201—431no—
973#3201—431no—
974#3201—431no—
975#3201—431no—
976#3198—431no—
977#3198—431no—
978#3198—431no—
979#3198—431no—
980#3095—431no—
981#3094—431no—
982#3092—431no—
983#3092—431no—
984#3056—431no—
985#3056—431no—
986#3055—431no—
987#3055—431no—
988#3007—431no—
989#3006—431no—
990#3005—431no—
991#3005—431no—
992#2879—431no—
993C2×C43—41no—
994C2×C43—41no—
995C2×C43—41no—
996C2×C43—81no—
997C2×C43—81no—
998C2×C43C2×#53411yescharacteristic
999C2×C43#358511yescharacteristic
1000C2×C43#358611yescharacteristic
1001D43—22no—
1002D43—41no—
1003D43—41no—
1004D43—41no—
1005D43—81no—
1006D43—81no—
1007C22×#41—431no—
1008C22×#41—431no—
1009C22×#41—431no—
1010C2×#137—431no—
1011C2×#137—431no—
1012C2×AGL(1,ℤ/8)—431no—
1013C2×AGL(1,ℤ/8)—431no—
1014C22×M16—431no—
1015C22×M16—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—431no—
1026#537—861no—
1027#537—861no—
1028#537—861no—
1029#537—861no—
1030#537C2×D4311yescharacteristic, complemented
1031#537C2×D4311yescharacteristic, complemented
1032#536—431no—
1033#536—431no—
1034#536—861no—
1035#535—431no—
1036#535—431no—
1037#535—861no—
1038#534—861no—
1039#534—861no—
1040#532—861no—
1041#532—861no—
1042#525—431no—
1043#525—431no—
1044#525—431no—
1045#525—431no—
1046#525—861no—
1047#525—861no—
1048C2×C22⋊Q8—431no—
1049C2×C22⋊Q8—431no—
1050C2×C22⋊Q8—861no—
1051C2×#121—431no—
1052C2×#121—431no—
1053C2×#121—861no—
1054C2×#121—861no—
1055C2×#121—861no—
1056C2×#117—431no—
1057C22×C4⋊C4—431no—
1058#485—431no—
1059#485—431no—
1060#485—431no—
1061#485—431no—
1062#484—431no—
1063#484—431no—
1064#484—431no—
1065#484—431no—
1066#484C2×D4311yescharacteristic, complemented
1067#484C2×D4311yescharacteristic, complemented
1068#483—431no—
1069#483—431no—
1070#483—431no—
1071#483—431no—
1072#483—431no—
1073#483—431no—
1074#482—431no—
1075#482—431no—
1076#482—431no—
1077#482—431no—
1078#481—431no—
1079#481—431no—
1080#481—431no—
1081#481—431no—
1082#481—431no—
1083#481—431no—
1084#480—431no—
1085#480—431no—
1086#480—431no—
1087#480—431no—
1088#480C2×D4311yescharacteristic, complemented
1089#480C2×D4311yescharacteristic, complemented
1090#470—431no—
1091#470—431no—
1092#470—431no—
1093#470—431no—
1094#469—431no—
1095#469—431no—
1096#469—431no—
1097#469—431no—
1098#468—431no—
1099#468—431no—
1100#468—431no—
1101#468—431no—
1102#468—431no—
1103#468—431no—
1104#468C2×D4311yescharacteristic, complemented
1105#468C2×D4311yescharacteristic, complemented
1106#467—431no—
1107#467—431no—
1108#467—431no—
1109#467C2×D4311yescharacteristic, complemented
1110#466—431no—
1111#466—431no—
1112#466—431no—
1113#466C2×D4311yescharacteristic, complemented
1114#465—431no—
1115#465—431no—
1116#465—431no—
1117#465—431no—
1118#465—431no—
1119#465—431no—
1120#465—431no—
1121#465—431no—
1122#452—431no—
1123#452—431no—
1124#452—431no—
1125#452—431no—
1126#452—431no—
1127#452—431no—
1128#452—431no—
1129#452—431no—
1130#452—431no—
1131#452—431no—
1132#452C2×D4311yescharacteristic, complemented
1133#452C2×D4311yescharacteristic, complemented
1134#451—431no—
1135#451—431no—
1136#450—431no—
1137#450—431no—
1138#449—431no—
1139#449—431no—
1140#449—431no—
1141#449—431no—
1142#449—431no—
1143#449—431no—
1144#449—431no—
1145#449—431no—
1146#449—431no—
1147#449—431no—
1148#449C2×D4311yescharacteristic, complemented
1149#449C2×D4311yescharacteristic, complemented
1150#448—431no—
1151#448—431no—
1152#447—431no—
1153#447—431no—
1154#428—431no—
1155#428—431no—
1156#428—431no—
1157#428—431no—
1158#419—431no—
1159#419—431no—
1160#418—431no—
1161#418—431no—
1162#417—431no—
1163#417—431no—
1164#417—431no—
1165#417—431no—
1166#408—431no—
1167#408—431no—
1168#408—431no—
1169#408—431no—
1170#408—431no—
1171#408—431no—
1172#408—431no—
1173#408C2×D4311yescharacteristic, complemented
1174#407—431no—
1175#407—431no—
1176#407—431no—
1177#407—431no—
1178C43#6075511yescharacteristic, complemented, Sylow
1179C2×#41—431no—
1180C2×#41—431no—
1181C2×#41—431no—
1182C2×#41—431no—
1183C2×#41—431no—
1184C2×#41—431no—
1185C2×#41—431no—
1186C2×#41—431no—
1187C2×#41—431no—
1188C2×#41—431no—
1189C2×#41—431no—
1190C2×#41—431no—
1191C2×#41—431no—
1192C2×#41—861no—
1193C2×#41—861no—
1194C2×#41—861no—
1195C2×#41—861no—
1196C2×#41—1722no—
1197C2×#41—1722no—
1198C2×#41—1722no—
1199C2×#41—1722no—
1200C2×#41—1722no—
1201C2×#41—1722no—
1202C2×#41C22×D4311yescharacteristic
1203C2×#41C22×D4311yescharacteristic
1204C2×#41C22×D4311yescharacteristic
1205C22×Q8—431no—
1206C22×Q8—431no—
1207C22×Q8—431no—
1208C22×D4—431no—
1209C22×D4—431no—
1210C22×D4—431no—
1211C22×D4—431no—
1212C22×D4—431no—
1213C22×D4—861no—
1214C22×D4—861no—
1215C22×D4—861no—
1216C22×D4—861no—
1217C23×C4—431no—
1218C23×C4—431no—
1219C23×C4—431no—
1220C23×C4—861no—
1221C23×C4—861no—
1222C23×C4—861no—
1223#137—1722no—
1224#137—1722no—
1225AGL(1,ℤ/8)—1722no—
1226AGL(1,ℤ/8)—1722no—
1227C2×Q16—431no—
1228C2×Q16—431no—
1229C2×Q16—431no—
1230C2×Q16C22×D4311yescharacteristic
1231C2×SD16—431no—
1232C2×SD16—431no—
1233C2×SD16—431no—
1234C2×SD16—431no—
1235C2×SD16—431no—
1236C2×SD16—431no—
1237C2×SD16C22×D4311yescharacteristic
1238C2×SD16C22×D4311yescharacteristic
1239C2×D8—431no—
1240C2×D8—431no—
1241C2×D8—431no—
1242C2×D8C22×D4311yescharacteristic
1243C2×M16—431no—
1244C2×M16—431no—
1245C2×M16—431no—
1246C2×M16—431no—
1247C2×M16—431no—
1248C2×M16—431no—
1249C2×M16—431no—
1250C2×M16—1722no—
1251C2×M16—1722no—
1252C2×M16C22×D4311yescharacteristic
1253C22×C8—431no—
1254C22×C8—431no—
1255C22×C8—431no—
1256C22×C8C22×D4311yescharacteristic
1257C4⋊Q8—861no—
1258C4⋊Q8—861no—
1259#127—861no—
1260#127—861no—
1261#124—861no—
1262#124—861no—
1263#124—861no—
1264#124—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271#123—861no—
1272#123—861no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
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—431no—
1285C22⋊Q8—431no—
1286C22⋊Q8—431no—
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⋊Q8—861no—
1299C22⋊Q8—861no—
1300C22⋊Q8—861no—
1301C22⋊Q8C22×D4311yescharacteristic
1302C22⋊Q8C22×D4311yescharacteristic
1303C22⋊Q8C22×D4311yescharacteristic
1304C22⋊Q8C22×D4311yescharacteristic
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—431no—
1312#121—431no—
1313#121—431no—
1314#121—431no—
1315#121—431no—
1316#121—431no—
1317#121—431no—
1318#121—431no—
1319#121—431no—
1320#121—431no—
1321#121—431no—
1322#121—431no—
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#121—861no—
1352#121—861no—
1353#121—861no—
1354#121—861no—
1355#121—861no—
1356#121—861no—
1357#121C22×D4311yescharacteristic
1358#121C22×D4311yescharacteristic
1359#121C22×D4311yescharacteristic
1360#121C22×D4311yescharacteristic
1361#120—861no—
1362#120—861no—
1363#120—861no—
1364#120—861no—
1365#120—861no—
1366#120—861no—
1367#120—861no—
1368#120—861no—
1369C4×D4—861no—
1370C4×D4—861no—
1371C4×D4—861no—
1372C4×D4—861no—
1373C4×D4—861no—
1374C4×D4—861no—
1375C4×D4—861no—
1376C4×D4—861no—
1377#117—431no—
1378#117—431no—
1379#117—431no—
1380#117—431no—
1381#117—861no—
1382#117—861no—
1383C2×C4⋊C4—431no—
1384C2×C4⋊C4—431no—
1385C2×C4⋊C4—431no—
1386C2×C4⋊C4—431no—
1387C2×C4⋊C4—431no—
1388C2×C4⋊C4—431no—
1389C2×C4⋊C4—861no—
1390C2×C4⋊C4—861no—
1391C2×C4⋊C4—861no—
1392C2×C4⋊C4—861no—
1393C2×C4⋊C4—861no—
1394C2×C4⋊C4C22×D4311yescharacteristic
1395C2×C4⋊C4C22×D4311yescharacteristic
1396C2×C22⋊C4—861no—
1397C2×C22⋊C4—861no—
1398C2×C22⋊C4—861no—
1399C2×C22⋊C4—861no—
1400C2×C22⋊C4—861no—
1401C2×C42—861no—
1402#107—431no—
1403#107—431no—
1404#107—431no—
1405#107—431no—
1406#107C22×D4311yescharacteristic
1407#107C22×D4311yescharacteristic
1408#107C22×D4311yescharacteristic
1409#107C22×D4311yescharacteristic
1410#106—431no—
1411#106—431no—
1412#106—431no—
1413#106—431no—
1414#106—431no—
1415#106—431no—
1416#106—431no—
1417#106—431no—
1418#103—431no—
1419#103—431no—
1420#103—431no—
1421#103—431no—
1422#103—431no—
1423#103—431no—
1424#103—431no—
1425#103—431no—
1426#103—431no—
1427#103—431no—
1428#103—431no—
1429#103—431no—
1430#103C22×D4311yescharacteristic
1431#103C22×D4311yescharacteristic
1432#103C22×D4311yescharacteristic
1433#103C22×D4311yescharacteristic
1434#102—431no—
1435#102—431no—
1436#102—431no—
1437#102—431no—
1438#102—431no—
1439#102—431no—
1440#102—431no—
1441#102—431no—
1442#102—431no—
1443#102—431no—
1444#102—431no—
1445#102—431no—
1446#102C22×D4311yescharacteristic
1447#102C22×D4311yescharacteristic
1448#102C22×D4311yescharacteristic
1449#102C22×D4311yescharacteristic
1450C22⋊C8—431no—
1451C22⋊C8—431no—
1452C22⋊C8—431no—
1453C22⋊C8—431no—
1454C22⋊C8—431no—
1455C22⋊C8—431no—
1456C22⋊C8—431no—
1457C22⋊C8—431no—
1458C22⋊C8—431no—
1459C22⋊C8—431no—
1460C22⋊C8—431no—
1461C22⋊C8—431no—
1462C22⋊C8C22×D4311yescharacteristic
1463C22⋊C8C22×D4311yescharacteristic
1464C22⋊C8C22×D4311yescharacteristic
1465C22⋊C8C22×D4311yescharacteristic
1466C24—431no—
1467C24—431no—
1468C24—431no—
1469C24—861no—
1470C24—861no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—862no—
1478#41—862no—
1479#41—862no—
1480#41—862no—
1481#41—1721no—
1482#41—1721no—
1483#41—1721no—
1484#41—1721no—
1485#41—1721no—
1486#41—1721no—
1487#41—1721no—
1488#41—1721no—
1489#41—1721no—
1490#41—1721no—
1491#41—1724no—
1492#41—1724no—
1493#41—1722no—
1494#41—1722no—
1495#41—1722no—
1496#41—1722no—
1497#41—1721no—
1498#41—1721no—
1499#41—1724no—
1500#41—1724no—
1501#41—1721no—
1502#41—1721no—
1503C2×Q8—431no—
1504C2×Q8—431no—
1505C2×Q8—431no—
1506C2×Q8—431no—
1507C2×Q8—431no—
1508C2×Q8—861no—
1509C2×Q8—861no—
1510C2×Q8—862no—
1511C2×Q8—862no—
1512C2×Q8—1722no—
1513C2×Q8—1721no—
1514C2×Q8—1721no—
1515C2×Q8D4×D4311yescharacteristic
1516C2×Q8C23×D4311yescharacteristic
1517C2×Q8C23×D4311yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—431no—
1525C2×D4—431no—
1526C2×D4—431no—
1527C2×D4—431no—
1528C2×D4—431no—
1529C2×D4—431no—
1530C2×D4—431no—
1531C2×D4—431no—
1532C2×D4—431no—
1533C2×D4—431no—
1534C2×D4—431no—
1535C2×D4—861no—
1536C2×D4—861no—
1537C2×D4—861no—
1538C2×D4—861no—
1539C2×D4—861no—
1540C2×D4—861no—
1541C2×D4—862no—
1542C2×D4—862no—
1543C2×D4—861no—
1544C2×D4—861no—
1545C2×D4—861no—
1546C2×D4—861no—
1547C2×D4—861no—
1548C2×D4—861no—
1549C2×D4—861no—
1550C2×D4—861no—
1551C2×D4—861no—
1552C2×D4—861no—
1553C2×D4—861no—
1554C2×D4—861no—
1555C2×D4—861no—
1556C2×D4—861no—
1557C2×D4—3442no—
1558C2×D4—3442no—
1559C2×D4—1721no—
1560C2×D4—1721no—
1561C2×D4—1722no—
1562C2×D4—1722no—
1563C2×D4—1722no—
1564C2×D4—1724no—
1565C2×D4—1724no—
1566C2×D4D4×D4311yescharacteristic
1567C2×D4D4×D4311yescharacteristic
1568C2×D4D4×D4311yescharacteristic
1569C2×D4C23×D4311yescharacteristic
1570C2×D4C23×D4311yescharacteristic
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—431no—
1576C22×C4—431no—
1577C22×C4—431no—
1578C22×C4—431no—
1579C22×C4—431no—
1580C22×C4—431no—
1581C22×C4—431no—
1582C22×C4—431no—
1583C22×C4—431no—
1584C22×C4—431no—
1585C22×C4—431no—
1586C22×C4—431no—
1587C22×C4—431no—
1588C22×C4—862no—
1589C22×C4—862no—
1590C22×C4—862no—
1591C22×C4—862no—
1592C22×C4—862no—
1593C22×C4—862no—
1594C22×C4—861no—
1595C22×C4—861no—
1596C22×C4—861no—
1597C22×C4—861no—
1598C22×C4—861no—
1599C22×C4—861no—
1600C22×C4—861no—
1601C22×C4—861no—
1602C22×C4—861no—
1603C22×C4—861no—
1604C22×C4—861no—
1605C22×C4—861no—
1606C22×C4—861no—
1607C22×C4—861no—
1608C22×C4—3442no—
1609C22×C4—1724no—
1610C22×C4—1724no—
1611C22×C4C23×D4311yescharacteristic
1612C22×C4C23×D4311yescharacteristic
1613C22×C4C23×D4311yescharacteristic
1614Q16—41no—
1615Q16—1721no—
1616Q16—1721no—
1617Q16—1721no—
1618SD16—41no—
1619SD16—41no—
1620SD16—1721no—
1621SD16—1721no—
1622SD16—1721no—
1623SD16—1721no—
1624SD16—1721no—
1625SD16—1721no—
1626D8—41no—
1627D8—1721no—
1628D8—1721no—
1629D8—1721no—
1630M16—41no—
1631M16—862no—
1632M16—862no—
1633M16—862no—
1634M16—862no—
1635M16—1721no—
1636M16—1721no—
1637M16—1721no—
1638C2×C8—41no—
1639C2×C8—431no—
1640C2×C8—431no—
1641C2×C8—431no—
1642C2×C8—431no—
1643C2×C8—1721no—
1644C2×C8—1721no—
1645C2×C8—1721no—
1646C2×C8C23×D4311yescharacteristic
1647C2×C8C23×D4311yescharacteristic
1648C2×C8C23×D4311yescharacteristic
1649C2×C8C23×D4311yescharacteristic
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—431no—
1657C4⋊C4—431no—
1658C4⋊C4—431no—
1659C4⋊C4—431no—
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⋊C4—861no—
1672C4⋊C4—861no—
1673C4⋊C4—861no—
1674C4⋊C4—861no—
1675C4⋊C4—861no—
1676C4⋊C4—861no—
1677C4⋊C4—861no—
1678C4⋊C4C23×D4311yescharacteristic
1679C4⋊C4C23×D4311yescharacteristic
1680C4⋊C4C23×D4311yescharacteristic
1681C4⋊C4C23×D4311yescharacteristic
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
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—
1710C22⋊C4—861no—
1711C22⋊C4—861no—
1712C22⋊C4—861no—
1713C22⋊C4—861no—
1714C22⋊C4—861no—
1715C22⋊C4—861no—
1716C22⋊C4—861no—
1717C22⋊C4—861no—
1718C42—861no—
1719C42—861no—
1720C42—861no—
1721C42—861no—
1722C23—21no—
1723C23—21no—
1724C23—431no—
1725C23—431no—
1726C23—431no—
1727C23—431no—
1728C23—862no—
1729C23—862no—
1730C23—862no—
1731C23—861no—
1732C23—861no—
1733C23—3441no—
1734C23—3441no—
1735C23—1721no—
1736C23—1721no—
1737C23—1721no—
1738C23—1721no—
1739C23—1721no—
1740C23—1721no—
1741C23—1722no—
1742C23—1722no—
1743C23—1722no—
1744C23—1722no—
1745C23C2×D4×D4311yescharacteristic
1746C23C2×D4×D4311yescharacteristic
1747C23C2×D4×D4311yescharacteristic
1748Q8—21no—
1749Q8—21no—
1750Q8—21no—
1751Q8—21no—
1752Q8—41no—
1753Q8—861no—
1754Q8—861no—
1755Q8—861no—
1756Q8—861no—
1757Q8—1721no—
1758Q8—1721no—
1759Q8—1721no—
1760Q8—1722no—
1761Q8—1722no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—41no—
1767D4—41no—
1768D4—41no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—861no—
1776D4—861no—
1777D4—861no—
1778D4—861no—
1779D4—3441no—
1780D4—3441no—
1781D4—3441no—
1782D4—3441no—
1783D4—3441no—
1784D4—3441no—
1785D4—3441no—
1786D4—3441no—
1787D4—3441no—
1788D4—3441no—
1789D4—3441no—
1790D4—3441no—
1791D4—1721no—
1792D4—1721no—
1793D4—1721no—
1794D4—1722no—
1795D4—1722no—
1796D4—1722no—
1797D4—1721no—
1798D4—1721no—
1799D4—1721no—
1800D4—1721no—
1801D4—1721no—
1802D4—1721no—
1803D4—1722no—
1804D4—1722no—
1805D4—1722no—
1806D4—1722no—
1807D4—1722no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—42no—
1821C2×C4—42no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4—431no—
1825C2×C4—432no—
1826C2×C4—432no—
1827C2×C4—431no—
1828C2×C4—431no—
1829C2×C4—431no—
1830C2×C4—862no—
1831C2×C4—862no—
1832C2×C4—862no—
1833C2×C4—862no—
1834C2×C4—862no—
1835C2×C4—862no—
1836C2×C4—862no—
1837C2×C4—862no—
1838C2×C4—862no—
1839C2×C4—861no—
1840C2×C4—861no—
1841C2×C4—861no—
1842C2×C4—861no—
1843C2×C4—861no—
1844C2×C4—861no—
1845C2×C4—861no—
1846C2×C4—861no—
1847C2×C4—861no—
1848C2×C4—861no—
1849C2×C4—861no—
1850C2×C4—861no—
1851C2×C4—3441no—
1852C2×C4—3441no—
1853C2×C4—3441no—
1854C2×C4—3441no—
1855C2×C4—1722no—
1856C2×C4—1722no—
1857C2×C4—1722no—
1858C2×C4—1722no—
1859C2×C4—1722no—
1860C2×C4—1722no—
1861C2×C4—1722no—
1862C2×C4—1722no—
1863C2×C4—1722no—
1864C2×C4—1722no—
1865C2×C4C2×D4×D4311yescharacteristic
1866C2×C4C2×D4×D4311yescharacteristic
1867C2×C4C2×D4×D4311yescharacteristic
1868C2×C4C24×D4311yescharacteristic
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C8—21no—
1873C8—861no—
1874C8—861no—
1875C8—861no—
1876C8—861no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—432no—
1893C22—861no—
1894C22—861no—
1895C22—861no—
1896C22—861no—
1897C22—861no—
1898C22—861no—
1899C22—861no—
1900C22—861no—
1901C22—861no—
1902C22—861no—
1903C22—861no—
1904C22—3442no—
1905C22—3442no—
1906C22—3444no—
1907C22—3444no—
1908C22—1724no—
1909C22—1721no—
1910C22—1721no—
1911C22—1721no—
1912C22—1721no—
1913C22—1721no—
1914C22—1721no—
1915C22C22×D4×D4311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—432no—
1926C4—861no—
1927C4—861no—
1928C4—861no—
1929C4—1721no—
1930C4—1721no—
1931C4—1721no—
1932C4—1721no—
1933C4—1721no—
1934C4—1721no—
1935C4H(5,𝔽2)×D4311yescharacteristic
1936C4H(5,𝔽2)×D4311yescharacteristic
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—81no—
1941C2—81no—
1942C2—862no—
1943C2—3441no—
1944C2—3441no—
1945C2—1721no—
1946C2—1721no—
1947C2—1721no—
1948C2#534×D4311yescharacteristic
1949C2#1914937011yescharacteristic
1950C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3203C2
socleC22×C43C23×D4
hypercenter#3203D43
hypocenterC43#60755
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

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

NH ≅ G/Ntype
1. #19147923C2semidirect
2. #537×D43C2semidirect
3. #19145507C2semidirect
4. #19145504C2semidirect
5. #19145503C2semidirect
6. #19145501C2semidirect
7. #19145499C2semidirect
8. #19145495C2semidirect
9. #19145492C2semidirect
10. #19145482C2semidirect
11. #19145480C2semidirect
12. #19145474C2semidirect
13. #19145472C2semidirect
14. #19145454C2semidirect
15. #19145448C2semidirect
16. #19145446C2semidirect
17. #19145440C2semidirect
18. #19144540C2semidirect
19. #19144530C2semidirect
20. #19144522C2semidirect
21. #19144514C2semidirect
22. #19144222C2semidirect
23. #19144220C2semidirect
24. #19144211C2semidirect
25. #19144209C2semidirect
26. #19143852C2semidirect
27. #19143844C2semidirect
28. #19143838C2semidirect
29. #19143833C2semidirect
30. #19143037C2semidirect
31. C43×#3203C2semidirect
34. C2×#41×D43C22semidirect
39. C22×#10621872C22semidirect
40. C2×M16×D43C22semidirect
42. #14583480C22semidirect
45. #14583479C22semidirect
48. #14583478C22semidirect
50. #14583477C22semidirect
51. #14583477C22semidirect
52. #14583477C22semidirect
56. #14583472C22semidirect
57. #14583472C22semidirect
59. #14583465C22semidirect
60. #14583465C22semidirect
73. C22⋊Q8×D43C22semidirect
78. #121×D43C22semidirect
80. C2×C4⋊C4×D43C22semidirect
81. #14583242C22semidirect
82. #14583242C22semidirect
83. #14583238C22semidirect
84. #14583238C22semidirect
85. #14583236C22semidirect
86. #14583236C22semidirect
87. #14583234C22semidirect
88. #14583232C22semidirect
89. #14583230C22semidirect
90. #14583230C22semidirect
91. #14583229C22semidirect
92. #14583228C22semidirect
93. #14583228C22semidirect
94. #14583227C22semidirect
95. #14583226C22semidirect
96. #14583226C22semidirect
97. #14583222C22semidirect
98. #14583222C22semidirect
99. #14583218C22semidirect
100. #14583218C22semidirect
101. #14583217C22semidirect
102. #14583216C22semidirect
103. #14583216C22semidirect
104. #14583215C22semidirect
105. #14583214C22semidirect
106. #14583214C22semidirect
107. #14583212C22semidirect
108. #14583210C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583154C22semidirect
113. #14583152C22semidirect
114. #14583151C22semidirect
115. #14583150C22semidirect
116. #14583149C22semidirect
117. #14583148C22semidirect
118. #14583147C22semidirect
119. #14583146C22semidirect
120. #14583146C22semidirect
121. #14583144C22semidirect
122. #14583143C22semidirect
123. #14583141C22semidirect
124. #14583139C22semidirect
125. #14583138C22semidirect
126. #14583136C22semidirect
127. #14583134C22semidirect
128. #14583133C22semidirect
129. #14583131C22semidirect
130. #14583130C22semidirect
131. #14583128C22semidirect
132. #14583128C22semidirect
133. #14583127C22semidirect
134. #14583126C22semidirect
135. #14583125C22semidirect
136. #14583125C22semidirect
137. #14583064C22semidirect
138. #14583063C22semidirect
139. #14583063C22semidirect
140. #14583062C22semidirect
141. #14583061C22semidirect
142. #14583061C22semidirect
143. #14583060C22semidirect
144. #14583059C22semidirect
145. #14583059C22semidirect
146. #14583058C22semidirect
147. #14583056C22semidirect
148. #14583053C22semidirect
149. #14583051C22semidirect
150. #14583048C22semidirect
151. #14583047C22semidirect
152. #14583046C22semidirect
153. #14583046C22semidirect
154. #14583045C22semidirect
155. #14583044C22semidirect
156. #14583044C22semidirect
157. #14583043C22semidirect
158. #14583042C22semidirect
159. #14583042C22semidirect
160. #14583041C22semidirect
161. #14583039C22semidirect
162. #14583036C22semidirect
163. #14583034C22semidirect
164. #14583031C22semidirect
165. #14582940C22semidirect
166. #14582940C22semidirect
167. #14582940C22semidirect
168. #14582940C22semidirect
169. #14582906C22semidirect
170. #14582906C22semidirect
171. #14582902C22semidirect
172. #14582902C22semidirect
177. #14582867C22semidirect
178. #14582866C22semidirect
179. #14582865C22semidirect
180. #14582864C22semidirect
181. #14582864C22semidirect
182. #14582864C22semidirect
183. #14582864C22semidirect
186. #14582861C22semidirect
187. #14582861C22semidirect
188. C43×#537C22semidirect
189. C43×#537C22semidirect
190. C43×#484C22semidirect
191. C43×#484C22semidirect
192. C43×#480C22semidirect
193. C43×#480C22semidirect
194. C43×#468C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
197. C43×#466C22semidirect
198. C43×#452C22semidirect
199. C43×#452C22semidirect
200. C43×#449C22semidirect
201. C43×#449C22semidirect
202. C43×#408C22semidirect
971. #3203D43semidirect
1030. #537C2×D43semidirect
1031. #537C2×D43semidirect
1066. #484C2×D43semidirect
1067. #484C2×D43semidirect
1088. #480C2×D43semidirect
1089. #480C2×D43semidirect
1104. #468C2×D43semidirect
1105. #468C2×D43semidirect
1109. #467C2×D43semidirect
1113. #466C2×D43semidirect
1132. #452C2×D43semidirect
1133. #452C2×D43semidirect
1148. #449C2×D43semidirect
1149. #449C2×D43semidirect
1173. #408C2×D43semidirect
1178. C43#60755semidirect

Maximal subgroups

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

subgroupindex
#191479232
#537×D432
#191455072
#191455042
#191455032
#191455012
#191454992
#191454952
#191454922
#191454822
#191454802
#191454742
#191454722
#191454542
#191454482
#191454462
#191454402
#191445402
#191445302
#191445222
#191445142
#191442222
#191442202
#191442112
#191442092
#191438522
#191438442
#191438382
#191438332
#191430372
C43×#32032
#6075543