Finite Group Databasebeta

← #25993799

Subgroups — #25993799

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149230C211yesmaximal, characteristic, complemented
2#19148524C211yesmaximal, characteristic, complemented
3#19147551C211yesmaximal, characteristic, complemented
4#19147465C211yesmaximal, characteristic, complemented
5#19147369C211yesmaximal, characteristic, complemented
6#19147250C211yesmaximal, characteristic, complemented
7#19147185C211yesmaximal, characteristic, complemented
8#19147157C211yesmaximal, characteristic, complemented
9#19147150C211yesmaximal, characteristic, complemented
10#19147123C211yesmaximal, characteristic, complemented
11#19147039C211yesmaximal, characteristic, complemented
12#19146991C211yesmaximal, characteristic, complemented
13#19146822C211yesmaximal, characteristic, complemented
14#19146812C211yesmaximal, characteristic, complemented
15#19146755C211yesmaximal, characteristic, complemented
16#19146740C211yesmaximal, characteristic, complemented
17#19146430C211yesmaximal, characteristic, complemented
18#19146052C211yesmaximal, characteristic, complemented
19#19146007C211yesmaximal, characteristic, complemented
20#19145993C211yesmaximal, characteristic, complemented
21#19145899C211yesmaximal, characteristic, complemented
22#19145844C211yesmaximal, characteristic, complemented
23#19145769C211yesmaximal, characteristic, complemented
24#19144873C211yesmaximal, characteristic, complemented
25#19144772C211yesmaximal, characteristic, complemented
26#19144640C211yesmaximal, characteristic, complemented
27#19144450C211yesmaximal, characteristic, complemented
28#19144428C211yesmaximal, characteristic, complemented
29#19144390C211yesmaximal, characteristic, complemented
30#19143739C211yesmaximal, characteristic, complemented
31C43×#3322C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583644—21no—
34#14583631C2211yescharacteristic
35#14583626C2211yescharacteristic, complemented
36#14583619—21no—
37#14583617C2211yescharacteristic
38#14583613C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic
40#14583608C2211yescharacteristic, complemented
41#14583601C2211yescharacteristic
42#14583595C2211yescharacteristic
43#14583592—21no—
44#14583589C2211yescharacteristic, complemented
45#14583586—21no—
46#14583584C2211yescharacteristic, complemented
47#14583583C2211yescharacteristic
48#14583575—21no—
49#14583572—21no—
50#14583549C2211yescharacteristic
51#14583537C2211yescharacteristic
52#14583536—21no—
53D4×C22⋊D43C2211yescharacteristic
54#14583530C2211yescharacteristic, complemented
55#14583527C2211yescharacteristic, complemented
56#14583522C2211yescharacteristic
57#14583517—21no—
58#14583516—21no—
59#14583516C2211yescharacteristic, complemented
60#14583516C2211yescharacteristic, complemented
61#14583506—21no—
62#14583502C2211yescharacteristic
63#14583493—21no—
64#14583491—21no—
65#14583484—21no—
66#14583455C2211yescharacteristic, complemented
67#14583431C2211yescharacteristic
68#14583431C2211yescharacteristic, complemented
69#14583428C2211yescharacteristic
70#14583409—21no—
71C2×#13063307—21no—
72#14583382C2211yescharacteristic
73#14583374C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583301C2211yescharacteristic, complemented
78#14583300C2211yescharacteristic, complemented
79#14583298C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic
82#14583260C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic, complemented
84#14583253C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic
86#14583241C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583230C2211yescharacteristic, complemented
91#14583227C2211yescharacteristic, complemented
92#14583224C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic
94#14583222C2211yescharacteristic
95#14583221C2211yescharacteristic
96#14583220C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583218C2211yescharacteristic
99#14583217C2211yescharacteristic, complemented
100#14583216C2211yescharacteristic, complemented
101#14583215C2211yescharacteristic, complemented
102#14583209C2211yescharacteristic, complemented
103#14583207C2211yescharacteristic, complemented
104#14583204C2211yescharacteristic, complemented
105#14583204C2211yescharacteristic, complemented
106#14583202C2211yescharacteristic, complemented
107#14583201C2211yescharacteristic
108#14583201C2211yescharacteristic
109#14583201C2211yescharacteristic, complemented
110#14583200C2211yescharacteristic, complemented
111#14583199C2211yescharacteristic
112#14583199C2211yescharacteristic, complemented
113#14583197C2211yescharacteristic
114#14583197C2211yescharacteristic, complemented
115#14583197C2211yescharacteristic, complemented
116#14583196C2211yescharacteristic, complemented
117#14583193C2211yescharacteristic, complemented
118#14583192C2211yescharacteristic, complemented
119#14583192C2211yescharacteristic, complemented
120#14583188C2211yescharacteristic, complemented
121#14583187C2211yescharacteristic
122#14583187C2211yescharacteristic, complemented
123#14583187C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic
127#14583177C2211yescharacteristic
128#14583177C2211yescharacteristic
129#14583177C2211yescharacteristic, complemented
130#14583177C2211yescharacteristic, complemented
131#14583156C2211yescharacteristic, complemented
132#14583149C2211yescharacteristic
133#14583145C2211yescharacteristic
134#14583145C2211yescharacteristic, complemented
135#14583144C2211yescharacteristic
136#14583142C2211yescharacteristic, complemented
137#14583138C2211yescharacteristic, complemented
138#14583133C2211yescharacteristic
139#14583133C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic, complemented
141#14583124C2211yescharacteristic, complemented
142#14583119C2211yescharacteristic, complemented
143#14583118C2211yescharacteristic, complemented
144#14583116C2211yescharacteristic, complemented
145#14583113C2211yescharacteristic, complemented
146#14583112C2211yescharacteristic
147#14583112C2211yescharacteristic, complemented
148#14583098C2211yescharacteristic
149#14583092C2211yescharacteristic
150#14583061C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583050C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583029C2211yescharacteristic, complemented
155#14583023C2211yescharacteristic, complemented
156#14583011C2211yescharacteristic
157#14583011C2211yescharacteristic
158#14583003C2211yescharacteristic, complemented
159#14582996C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic
161#14582990C2211yescharacteristic
162C4×#10621873C2211yescharacteristic, complemented
163SD16×Dic43C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic
165D8×Dic43C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic, complemented
167#14582975C2211yescharacteristic
168#14582975C2211yescharacteristic, complemented
169#14582967C2211yescharacteristic
170#14582967C2211yescharacteristic, complemented
171D4×C43⋊C8C2211yescharacteristic, complemented
172#14582957C2211yescharacteristic, complemented
173#14582957C2211yescharacteristic, complemented
174#14582950C2211yescharacteristic, complemented
175#14582941C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582935C2211yescharacteristic, complemented
180C2×#13063258C2211yescharacteristic, complemented
181#14582927C2211yescharacteristic, complemented
182#14582927C2211yescharacteristic, complemented
183#14582921C2211yescharacteristic, complemented
184#14582902C2211yescharacteristic
185#14582902C2211yescharacteristic
186#14582895C2211yescharacteristic
187C2×#13063246C2211yescharacteristic
188C43×#553C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic
202C43×#417C2211yescharacteristic
203C2×#10621900—21no—
204C22×C22⋊D43—21no—
205C2×D4×D43C2311yescharacteristic
206C22×C4×D43—21no—
207C2×#10621885C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621882C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216#13063325—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063321C2311yescharacteristic
225#13063320—21no—
226#13063320—21no—
227#13063320—21no—
228#13063319—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318D411yescharacteristic
238#13063318D411yescharacteristic
239#13063317—21no—
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316D411yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063314C2311yescharacteristic
254#13063312—21no—
255#13063312—21no—
256#13063312—21no—
257#13063312D411yescharacteristic
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063308—21no—
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307D411yescharacteristic
277#13063307D411yescharacteristic
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306—21no—
282#13063305—21no—
283#13063305D411yescharacteristic
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063301C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063296—21no—
312#13063296D411yescharacteristic
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063294—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172C2311yescharacteristic
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43C2311yescharacteristic
345C4×C22⋊D43C2311yescharacteristic
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063281—21no—
361#13063281—21no—
362#13063281—21no—
363C2×C4⋊Dic43—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43C2311yescharacteristic
369C2×C22⋊Dic43—21no—
370C2×C22⋊Dic43—21no—
371C2×(C2×D43)⋊C4—21no—
372C22⋊C4×D43—21no—
373C42×D43C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×D4×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43C2311yescharacteristic
448#121×C43—21no—
449#121×C43—21no—
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#120×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C22⋊C4×C43—21no—
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479C23×D43—21no—
480#41×C43—22no—
481#41×C43—41no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—22no—
489C2×D4×C43—41no—
490C2×D4×C43C2×D411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—82no—
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621900—82no—
520D4×D43—22no—
521D4×D43—41no—
522C2×D172C2411yescharacteristic
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—82no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2411yescharacteristic
537SD16×C43—41no—
538D8×C43—22no—
539D8×C43—41no—
540M16×C43—41no—
541M16×C43—41no—
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2×D411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43C2×D411yescharacteristic
565C22⋊C4×C43C2×D411yescharacteristic
566C42×C43—21no—
567C42×C43C2411yescharacteristic
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586C22⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589#10621885—41no—
590#10621883—22no—
591#10621883—41no—
592#10621882—41no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43C2×D411yescharacteristic
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C4×Dic43C2411yescharacteristic
662C4×Dic43C2411yescharacteristic
663C2×C43⋊C8—41no—
664C2×C43⋊C8—41no—
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669#10621873—41no—
670#10621872—41no—
671#10621872—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—42no—
676C23×C43—81no—
677C23×C43—81no—
678C23×C43C22×D411yescharacteristic
679C23×C43C22×D411yescharacteristic
680C22×D43—21no—
681C22×D43—42no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687D4×C43—21no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—41no—
693D4×C43—42no—
694D4×C43—42no—
695D4×C43—81no—
696D4×C43—81no—
697D4×C43—81no—
698D4×C432−1+412yes—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—42no—
709C2×C4×C43—81no—
710C2×C4×C43—81no—
711C2×C4×C43—81no—
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C2511yescharacteristic
717C22⋊D43—41no—
718C22⋊D43—41no—
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—81no—
734C2×Dic43—81no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—21no—
750D172—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—41no—
754C4×D43—41no—
755C4×D43—42no—
756C4×D43—81no—
757C4×D43—81no—
758Dic86—21no—
759Dic86—21no—
760Dic86—41no—
761Dic86—81no—
762Dic86—81no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—22no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—162no—
791C22×C43C23×D411yescharacteristic
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—84no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43C2×2−1+411yescharacteristic
809C4×C43#58511yescharacteristic
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323—431no—
838#3322D4311yescharacteristic, complemented
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—42no—
856C2×C43—41no—
857C2×C43—41no—
858C2×C43—81no—
859C2×C43—81no—
860C2×C43#348911yescharacteristic
861C2×C43#358411yescharacteristic
862C2×C43#358511yescharacteristic
863D43—41no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—431no—
876#553—861no—
877#553C2×D4311yescharacteristic, complemented
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—861no—
887#546C2×D4311yescharacteristic
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—431no—
893#542—431no—
894#542—861no—
895#542—861no—
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488C2×D4311yescharacteristic, complemented
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485C2×D4311yescharacteristic, complemented
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#482—431no—
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480C2×D4311yescharacteristic, complemented
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478C2×D4311yescharacteristic
956#477—431no—
957#477—431no—
958#477—431no—
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#470—431no—
971#469—431no—
972#469C2×D4311yescharacteristic, complemented
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic, complemented
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463C2×D4311yescharacteristic, complemented
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449C2×D4311yescharacteristic
996#447—431no—
997#447C2×D4311yescharacteristic
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8C2×D4311yescharacteristic
1012#436—431no—
1013#436—431no—
1014#436C2×D4311yescharacteristic, complemented
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424—431no—
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418C2×D4311yescharacteristic
1033#417C2×D4311yescharacteristic
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—861no—
1038C2×#41C22×D4311yescharacteristic
1039C22×D4—431no—
1040C22×D4—861no—
1041C22×D4C22×D4311yescharacteristic
1042C23×C4—861no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16C22×D4311yescharacteristic
1048C2×D8—431no—
1049C2×D8C22×D4311yescharacteristic
1050C2×D8C22×D4311yescharacteristic
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16C22×D4311yescharacteristic
1054C2×M16C22×D4311yescharacteristic
1055C22×C8—431no—
1056C22×C8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065#127—431no—
1066#126—21no—
1067#126—431no—
1068#126—431no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—431no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124C22×D4311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—431no—
1110#123—431no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8C22×D4311yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22×D4311yescharacteristic
1165#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—21no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×D4—21no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4C22×D4311yescharacteristic
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—861no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4—861no—
1227C2×C4⋊C4C22×D4311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102C22×D4311yescharacteristic
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8C22×D4311yescharacteristic
1305C22⋊C8C22×D4311yescharacteristic
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8C22×D4311yescharacteristic
1312C24—21no—
1313C24—861no—
1314#41—22no—
1315#41—41no—
1316#41—3442no—
1317C2×Q8—431no—
1318C2×Q8—431no—
1319C2×Q8—861no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4—431no—
1333C2×D4—431no—
1334C2×D4—431no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—862no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—3442no—
1344C2×D4—1721no—
1345C2×D4D4×D4311yescharacteristic
1346C2×D4C23×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—3442no—
1369C22×C4C23×D4311yescharacteristic
1370C22×C4C23×D4311yescharacteristic
1371Q16—1721no—
1372SD16—41no—
1373SD16—862no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—22no—
1377D8—41no—
1378D8—1721no—
1379M16—41no—
1380M16—41no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—1721no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4D4×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—431no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—431no—
1513C23—861no—
1514C23—3441no—
1515C23—1722no—
1516C23—1722no—
1517C23C2×D4×D4311yescharacteristic
1518C23C2×D4×D4311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—861no—
1522Q8—861no—
1523Q8—3441no—
1524Q8—3441no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—861no—
1541D4—861no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—3441no—
1546D4—3441no—
1547D4—1721no—
1548D4—1721no—
1549D4—1722no—
1550D4—1722no—
1551D4#1306337212yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—1721no—
1593C2×C4—1721no—
1594C2×C4—1722no—
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—861no—
1625C22—861no—
1626C22—861no—
1627C22—3444no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—861no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#1306337211yescharacteristic
1656C4#1458373411yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—3441no—
1663C2—1721no—
1664C2#1914826611yescharacteristic
1665C2#1914936811yescharacteristic
1666C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3322C2
socleC22×C43C23×D4
hypercenter#3322D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #19149230C2semidirect
2. #19148524C2semidirect
3. #19147551C2semidirect
4. #19147465C2semidirect
5. #19147369C2semidirect
6. #19147250C2semidirect
7. #19147185C2semidirect
8. #19147157C2semidirect
9. #19147150C2semidirect
10. #19147123C2semidirect
11. #19147039C2semidirect
12. #19146991C2semidirect
13. #19146822C2semidirect
14. #19146812C2semidirect
15. #19146755C2semidirect
16. #19146740C2semidirect
17. #19146430C2semidirect
18. #19146052C2semidirect
19. #19146007C2semidirect
20. #19145993C2semidirect
21. #19145899C2semidirect
22. #19145844C2semidirect
23. #19145769C2semidirect
24. #19144873C2semidirect
25. #19144772C2semidirect
26. #19144640C2semidirect
27. #19144450C2semidirect
28. #19144428C2semidirect
29. #19144390C2semidirect
30. #19143739C2semidirect
31. C43×#3322C2semidirect
35. #14583626C22semidirect
38. #14583613C22semidirect
40. #14583608C22semidirect
44. #14583589C22semidirect
46. #14583584C22semidirect
54. #14583530C22semidirect
55. #14583527C22semidirect
59. #14583516C22semidirect
60. #14583516C22semidirect
66. #14583455C22semidirect
68. #14583431C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583301C22semidirect
78. #14583300C22semidirect
79. #14583298C22semidirect
80. #14583296C22semidirect
82. #14583260C22semidirect
83. #14583255C22semidirect
84. #14583253C22semidirect
86. #14583241C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583236C22semidirect
90. #14583230C22semidirect
91. #14583227C22semidirect
92. #14583224C22semidirect
96. #14583220C22semidirect
97. #14583220C22semidirect
99. #14583217C22semidirect
100. #14583216C22semidirect
101. #14583215C22semidirect
102. #14583209C22semidirect
103. #14583207C22semidirect
104. #14583204C22semidirect
105. #14583204C22semidirect
106. #14583202C22semidirect
109. #14583201C22semidirect
110. #14583200C22semidirect
112. #14583199C22semidirect
114. #14583197C22semidirect
115. #14583197C22semidirect
116. #14583196C22semidirect
117. #14583193C22semidirect
118. #14583192C22semidirect
119. #14583192C22semidirect
120. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583187C22semidirect
124. #14583182C22semidirect
125. #14583178C22semidirect
129. #14583177C22semidirect
130. #14583177C22semidirect
131. #14583156C22semidirect
134. #14583145C22semidirect
136. #14583142C22semidirect
137. #14583138C22semidirect
139. #14583133C22semidirect
140. #14583126C22semidirect
141. #14583124C22semidirect
142. #14583119C22semidirect
143. #14583118C22semidirect
144. #14583116C22semidirect
145. #14583113C22semidirect
147. #14583112C22semidirect
154. #14583029C22semidirect
155. #14583023C22semidirect
158. #14583003C22semidirect
159. #14582996C22semidirect
162. C4×#10621873C22semidirect
163. SD16×Dic43C22semidirect
165. D8×Dic43C22semidirect
166. C4×#10621882C22semidirect
168. #14582975C22semidirect
170. #14582967C22semidirect
171. D4×C43⋊C8C22semidirect
172. #14582957C22semidirect
173. #14582957C22semidirect
174. #14582950C22semidirect
175. #14582941C22semidirect
176. #14582941C22semidirect
177. #14582940C22semidirect
178. #14582938C22semidirect
179. #14582935C22semidirect
180. C2×#13063258C22semidirect
181. #14582927C22semidirect
182. #14582927C22semidirect
183. #14582921C22semidirect
188. C43×#553C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#480C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#463C22semidirect
200. C43×#436C22semidirect
838. #3322D43semidirect
877. #553C2×D43semidirect
920. #488C2×D43semidirect
925. #485C2×D43semidirect
939. #480C2×D43semidirect
972. #469C2×D43semidirect
977. #468C2×D43semidirect
989. #463C2×D43semidirect
1014. #436C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492302
#191485242
#191475512
#191474652
#191473692
#191472502
#191471852
#191471572
#191471502
#191471232
#191470392
#191469912
#191468222
#191468122
#191467552
#191467402
#191464302
#191460522
#191460072
#191459932
#191458992
#191458442
#191457692
#191448732
#191447722
#191446402
#191444502
#191444282
#191443902
#191437392
C43×#33222
#6217543