Finite Group Databasebeta

← #25979512

Subgroups — #25979512

Order 11008.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148640C211yesmaximal, characteristic, complemented
2#19148614C211yesmaximal, characteristic, complemented
3#19147610C211yesmaximal, characteristic, complemented
4#19147489C211yesmaximal, characteristic, complemented
5#19147245C211yesmaximal, characteristic, complemented
6#19147227C211yesmaximal, characteristic, complemented
7#19147183C211yesmaximal, characteristic, complemented
8#19147078C211yesmaximal, characteristic, complemented
9#19147074C211yesmaximal, characteristic, complemented
10#19146518C211yesmaximal, characteristic, complemented
11#19146451C211yesmaximal, characteristic, complemented
12#19146447C211yesmaximal, characteristic, complemented
13#19146415C211yesmaximal, characteristic, complemented
14#19146404C211yesmaximal, characteristic, complemented
15#19146193C211yesmaximal, characteristic, complemented
16#19146079C211yesmaximal, characteristic, complemented
17#19146071C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145273C211yesmaximal, characteristic, complemented
20#19145149C211yesmaximal, characteristic, complemented
21#19144793C211yesmaximal, characteristic, complemented
22#19144789C211yesmaximal, characteristic, complemented
23#19144784C211yesmaximal, characteristic, complemented
24#19144780C211yesmaximal, characteristic, complemented
25#19144689C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143422C211yesmaximal, characteristic, complemented
29#19143421C211yesmaximal, characteristic, complemented
30C2×#14582979C211yesmaximal, characteristic, complemented
31C43×#3295C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C22×#10621882C2211yescharacteristic
35#14583621C2211yescharacteristic, complemented
36#14583613C2211yescharacteristic, complemented
37#14583608C2211yescharacteristic, complemented
38#14583604C2211yescharacteristic, complemented
39#14583601C2211yescharacteristic
40#14583595C2211yescharacteristic
41#14583592—21no—
42#14583581—21no—
43#14583578—21no—
44#14583576—21no—
45#14583569C2211yescharacteristic, complemented
46#14583564C2211yescharacteristic, complemented
47#14583559—21no—
48#14583551C2211yescharacteristic, complemented
49#14583550C2211yescharacteristic, complemented
50#14583545C2211yescharacteristic, complemented
51#14583543—21no—
52#14583540C2211yescharacteristic, complemented
53#14583536—21no—
54#14583536—21no—
55D4×C22⋊D43C2211yescharacteristic
56D4×C22⋊D43C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583503C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583497—21no—
62#14583495—21no—
63#14583486—21no—
64#14583484—21no—
65#14583451C2211yescharacteristic, complemented
66#14583444C2211yescharacteristic
67#14583429C2211yescharacteristic
68#14583408—21no—
69#14583405—21no—
70C22⋊Q8×D43—21no—
71C2×#13063297—21no—
72#14583381C2211yescharacteristic, complemented
73#14583380C2211yescharacteristic, complemented
74#14583374C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C2×D4×Dic43C2211yescharacteristic
77C2×#13063287C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583286C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583244C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583224C2211yescharacteristic, complemented
95#14583217C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583212C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583209C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583200C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583177C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583135C2211yescharacteristic, complemented
115#14583134C2211yescharacteristic, complemented
116#14583130C2211yescharacteristic, complemented
117#14583128C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583126C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic
121#14583116C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic
124#14583102C2211yescharacteristic, complemented
125#14583102C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic, complemented
130#14583091C2211yescharacteristic, complemented
131#14583051C2211yescharacteristic, complemented
132#14583050C2211yescharacteristic
133#14583046C2211yescharacteristic, complemented
134#14583043C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic, complemented
136#14583042C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic
139#14583033C2211yescharacteristic
140#14583032C2211yescharacteristic, complemented
141#14583028C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583000C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14582997C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic, complemented
155#14582990C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160C4×D344C2211yescharacteristic, complemented
161#14582979C2211yescharacteristic
162#14582979C2211yescharacteristic
163#14582979C2211yescharacteristic
164#14582979C2211yescharacteristic
165#14582979C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic, complemented
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582939C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180C2×#13063258C2211yescharacteristic, complemented
181#14582896C2211yescharacteristic, complemented
182#14582894C2211yescharacteristic, complemented
183C2×#13063247C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582854C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C2×C8×Dic43C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189D42×C43C2211yescharacteristic
190C43×#486C2211yescharacteristic, complemented
191C43×#481C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#465C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic
198C43×#450C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C2×#102×C43C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×Q8×D43—21no—
209C22×D172C2311yescharacteristic
210C22×C22⋊D43—21no—
211C22×C22⋊D43—21no—
212C2×D4×D43C2311yescharacteristic
213C23×Dic43—21no—
214C22×C4×D43—21no—
215#13063352—24no—
216#13063351—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882—24no—
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621877C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063324C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063319—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315D411yescharacteristic
254#13063314—21no—
255#13063314C2311yescharacteristic
256#13063313C2311yescharacteristic
257#13063312—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063309—21no—
268#13063309—21no—
269#13063309D411yescharacteristic
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306D411yescharacteristic
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063304—21no—
281#13063304—21no—
282#13063304C2311yescharacteristic
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302D411yescharacteristic
292#13063301—21no—
293#13063301—21no—
294#13063300—21no—
295#13063300C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063298—21no—
300#13063298—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297D411yescharacteristic
313#13063296—21no—
314#13063296—21no—
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063295—21no—
318#13063294—21no—
319#13063294—21no—
320#13063293—21no—
321#13063293—21no—
322#13063293—21no—
323Q8×Dic43C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284C2311yescharacteristic
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370C2×C4⋊Dic43C2311yescharacteristic
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C2×C22⋊Dic43—21no—
377C2×C22⋊Dic43—21no—
378C2×C22⋊Dic43—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#125×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457#120×C43—21no—
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—22no—
494C2×D4×C43—22no—
495C2×D4×C43—41no—
496C2×D4×C43—41no—
497C2×D4×C43—82no—
498C2×D4×C43C2×D411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43C2411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—82no—
519C2×C22⋊D43—82no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—82no—
531C22×Dic43C2×D411yescharacteristic
532C22×Dic43C2×D411yescharacteristic
533#10621902—22no—
534#10621902—41no—
535Q8×D43—82no—
536#10621900—82no—
537#10621900—82no—
538D4×D43—22no—
539D4×D43—41no—
540#10621898—22no—
541#10621898—41no—
542#10621898—82no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—22no—
547C2×D172—41no—
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—82no—
563C2×C4×D43C2411yescharacteristic
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—22no—
570SD16×C43—41no—
571SD16×C43—41no—
572C2×C8×C43—41no—
573C2×C8×C43—41no—
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43—21no—
597C42×C43C2411yescharacteristic
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613#10621884—22no—
614#10621883—22no—
615#10621883—22no—
616#10621883—41no—
617#10621882—22no—
618#10621882—22no—
619#10621882—22no—
620#10621882—22no—
621#10621882—41no—
622#10621882#4114yescomplemented
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683C4×Dic43C2411yescharacteristic
684#10621877—22no—
685C2×C43⋊C8—22no—
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690D344—22no—
691D344—41no—
692#10621873—41no—
693#10621872—22no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—42no—
699C23×C43—42no—
700C23×C43—42no—
701C23×C43—81no—
702C23×C43—81no—
703C23×C43—81no—
704C23×C43C22×D411yescharacteristic
705C23×C43C22×D411yescharacteristic
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—42no—
710C22×D43—42no—
711C22×D43—42no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43C22×D411yescharacteristic
716Q8×C43—21no—
717Q8×C43—21no—
718Q8×C43—81no—
719D4×C43—22no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—42no—
726D4×C43—42no—
727D4×C43—42no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731D4×C43C2×#4112yes—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—81no—
742C2×C4×C43—81no—
743C2×C4×C43—81no—
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C2511yescharacteristic
749C22⋊D43—22no—
750C22⋊D43—22no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—22no—
763C2×Dic43—22no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—42no—
770C2×Dic43—42no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774C2×Dic43—81no—
775C2×Dic43—81no—
776C2×Dic43—81no—
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782C2×Dic43C22×D411yescharacteristic
783C2×Dic43C22×D411yescharacteristic
784D172—21no—
785D172—21no—
786D172—21no—
787D172—21no—
788D172—21no—
789D172—42no—
790D172—42no—
791D172—81no—
792D172C2×#4112yes—
793C4×D43—21no—
794C4×D43—21no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—42no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806Dic86—22no—
807Dic86—21no—
808Dic86—21no—
809Dic86—42no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8C2×#4112yes—
820#61496—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—22no—
824C22×C43—21no—
825C22×C43—21no—
826C22×C43—21no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—84no—
836C22×C43—162no—
837C22×C43#57712yes—
838C22×C43C23×D411yescharacteristic
839C2×D43—22no—
840C2×D43—21no—
841C2×D43—21no—
842C2×D43—21no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—84no—
852C2×D43—162no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43#58511yescharacteristic
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43—41no—
875Dic43#57612yes—
876#3520—431no—
877#3519—431no—
878#3397—431no—
879#3384—431no—
880#3360—431no—
881#3358—431no—
882#3354—431no—
883#3346—431no—
884#3346—431no—
885#3303—431no—
886#3297—431no—
887#3297—431no—
888#3295—431no—
889#3295D4311yescharacteristic, complemented
890#3294—431no—
891#3272—431no—
892#3264—431no—
893#3264—431no—
894#3179—431no—
895#3179—431no—
896#3167—431no—
897#3119—431no—
898#3119—431no—
899#3118—431no—
900#3118—431no—
901#3110—431no—
902#3109—431no—
903#2966—431no—
904#2946—431no—
905#2946—431no—
906C2×C4×D8—431no—
907C2×C43—22no—
908C2×C43—42no—
909C2×C43—41no—
910C2×C43—81no—
911C2×C43—81no—
912C2×C43D4×#4111yescharacteristic
913C2×C43C2×#57611yescharacteristic
914C2×C43C2×#57711yescharacteristic
915D43—41no—
916D43—42no—
917D43—81no—
918D43—81no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)—431no—
921C22×D8—431no—
922#556—431no—
923#555—431no—
924#554—431no—
925#554—431no—
926#554C2×D4311yescharacteristic, complemented
927#553—431no—
928#553—431no—
929#553—861no—
930#552—861no—
931#551—861no—
932#551—861no—
933#550—431no—
934D4×Q8—431no—
935#548—861no—
936#547—431no—
937#547—431no—
938#546—431no—
939#546—431no—
940#546—861no—
941#546—861no—
942#546—861no—
943D42—431no—
944D42—431no—
945D42C2×D4311yescharacteristic
946#542—431no—
947#542—431no—
948#540—431no—
949#540—431no—
950#539—861no—
951#539—861no—
952#538—861no—
953#538—861no—
954#533—431no—
955#532—431no—
956#529—431no—
957#525—861no—
958#525—861no—
959C2×C22⋊Q8—861no—
960C2×#121—861no—
961#520—431no—
962#520—431no—
963#518—431no—
964#518—431no—
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967#501—431no—
968#501—431no—
969#498—431no—
970#496—431no—
971#496—431no—
972#492—431no—
973#488—431no—
974#488—431no—
975#487—431no—
976#486—431no—
977#486—431no—
978#486C2×D4311yescharacteristic, complemented
979#485—431no—
980#485—431no—
981#484—431no—
982#484—431no—
983#482—431no—
984#482—431no—
985#481—431no—
986#481—431no—
987#481C2×D4311yescharacteristic, complemented
988#481C2×D4311yescharacteristic, complemented
989#480—431no—
990#480—431no—
991#479—431no—
992#479—431no—
993#478—431no—
994#478—431no—
995#476—431no—
996#476—431no—
997#476—431no—
998#476C2×D4311yescharacteristic, complemented
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474—431no—
1003#469—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#466—431no—
1008#466—431no—
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#465C2×D4311yescharacteristic, complemented
1014#465C2×D4311yescharacteristic, complemented
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#461—431no—
1020#461—431no—
1021#460—431no—
1022#460C2×D4311yescharacteristic, complemented
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#459—431no—
1027#450—431no—
1028#450—431no—
1029#450C2×D4311yescharacteristic
1030#450C2×D4311yescharacteristic, complemented
1031#449—431no—
1032#449—431no—
1033#449—431no—
1034#449—431no—
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#447—431no—
1039#446—431no—
1040C8×Q8—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#442—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16C2×D4311yescharacteristic, complemented
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068C4×D8—431no—
1069#436—431no—
1070#435—431no—
1071#435—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074C8×D4C2×D4311yescharacteristic, complemented
1075#433—431no—
1076#433—431no—
1077#432—431no—
1078#428—431no—
1079#428—431no—
1080C2×#107—431no—
1081#416—431no—
1082#416—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102C2×D4311yescharacteristic
1086C2×#102C2×D4311yescharacteristic, complemented
1087#405—431no—
1088#405—431no—
1089C2×C4×C8—431no—
1090C43#6149611yescharacteristic, complemented, Sylow
1091C2×#41—431no—
1092C2×#41—431no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×Q8—861no—
1097C22×D4—21no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—861no—
1101C22×D4—861no—
1102C22×D4C22×D4311yescharacteristic
1103C22×D4C22×D4311yescharacteristic
1104C23×C4—861no—
1105C23×C4—861no—
1106AGL(1,ℤ/8)—864no—
1107AGL(1,ℤ/8)—864no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16C22×D4311yescharacteristic
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—431no—
1123C2×D8—431no—
1124C2×D8—864no—
1125C2×M16—431no—
1126C2×M16—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8C22×D4311yescharacteristic
1130C22×C8C22×D4311yescharacteristic
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135C4⋊Q8C22×D4311yescharacteristic
1136#127—431no—
1137#127—431no—
1138#127C22×D4311yescharacteristic
1139#126—431no—
1140#126—431no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#125—21no—
1148#125—431no—
1149#125—431no—
1150#125—431no—
1151#125—861no—
1152#125—861no—
1153#124—431no—
1154#124—431no—
1155#124—431no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#123—431no—
1162#123—431no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8C22×D4311yescharacteristic
1196C22⋊Q8C22×D4311yescharacteristic
1197#121—21no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#120—21no—
1224#120—21no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230#120—861no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—861no—
1236C4×Q8C22×D4311yescharacteristic
1237C4×D4—21no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273#117—431no—
1274#117—431no—
1275#117—431no—
1276#117—431no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280#117—861no—
1281#117—861no—
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—861no—
1285C2×C4⋊C4—861no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4C22×D4311yescharacteristic
1289C2×C4⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4—861no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C42—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107—431no—
1306#107—431no—
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106C22×D4311yescharacteristic
1313#106C22×D4311yescharacteristic
1314#106C22×D4311yescharacteristic
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8—431no—
1320C4⋊C8C22×D4311yescharacteristic
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103C22×D4311yescharacteristic
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346#102C22×D4311yescharacteristic
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8C22×D4311yescharacteristic
1358C22⋊C8C22×D4311yescharacteristic
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362#97—431no—
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8C22×D4311yescharacteristic
1369C24—21no—
1370C24—21no—
1371C24—861no—
1372C24—861no—
1373#41—862no—
1374#41—862no—
1375#41—3442no—
1376#41—3442no—
1377#41—3442no—
1378#41—1721no—
1379#41—1721no—
1380C2×Q8—21no—
1381C2×Q8—431no—
1382C2×Q8—431no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—3442no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—82no—
1399C2×D4—431no—
1400C2×D4—431no—
1401C2×D4—431no—
1402C2×D4—431no—
1403C2×D4—431no—
1404C2×D4—862no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—862no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—3442no—
1421C2×D4—3442no—
1422C2×D4—1721no—
1423C2×D4—1721no—
1424C2×D4D4×D4311yescharacteristic
1425C2×D4C23×D4311yescharacteristic
1426C2×D4C23×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—3442no—
1454C22×C4—3442no—
1455C22×C4C23×D4311yescharacteristic
1456C22×C4C23×D4311yescharacteristic
1457SD16—22no—
1458SD16—41no—
1459SD16—41no—
1460SD16—862no—
1461SD16—862no—
1462SD16—862no—
1463SD16—1721no—
1464SD16—1721no—
1465D8—434no—
1466D8—862no—
1467D8—862no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473M16—862no—
1474M16—862no—
1475C2×C8—41no—
1476C2×C8—41no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—862no—
1482C2×C8—1721no—
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—431no—
1505C4⋊C4—431no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4D4×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—431no—
1533C22⋊C4—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4D4×D4311yescharacteristic
1570C22⋊C4D4×D4311yescharacteristic
1571C42—21no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42C23×D4311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—431no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—3441no—
1597C23—3441no—
1598C23—3441no—
1599C23—1722no—
1600C23—1722no—
1601C23—1722no—
1602C23C2×D4×D4311yescharacteristic
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—862no—
1608Q8—861no—
1609Q8—861no—
1610Q8—3441no—
1611Q8—3441no—
1612Q8—1722no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—432no—
1626D4—862no—
1627D4—862no—
1628D4—861no—
1629D4—861no—
1630D4—861no—
1631D4—861no—
1632D4—861no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4#41×D4312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—431no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—862no—
1668C2×C4—862no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4—1722no—
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C2×D4×D4311yescharacteristic
1699C2×C4C24×D4311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—432no—
1705C8—861no—
1706C8—861no—
1707C8—861no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—84no—
1723C22—162no—
1724C22—861no—
1725C22—861no—
1726C22—861no—
1727C22—862no—
1728C22—3444no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—6882no—
1738C22#1458370512yes—
1739C22C22×D4×D4311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—432no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—861no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4—1721no—
1760C4—1721no—
1761C4C2×#41×D4311yescharacteristic
1762C4#1458373411yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—3441no—
1769C2—3441no—
1770C2—1721no—
1771C2—1722no—
1772C2#1914807911yescharacteristic
1773C2#576×D4311yescharacteristic
1774C2C2×#1458370511yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3295C2
socleC22×C43C23×D4
hypercenter#3295D43
hypocenterC43#61496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #19148640C2semidirect
2. #19148614C2semidirect
3. #19147610C2semidirect
4. #19147489C2semidirect
5. #19147245C2semidirect
6. #19147227C2semidirect
7. #19147183C2semidirect
8. #19147078C2semidirect
9. #19147074C2semidirect
10. #19146518C2semidirect
11. #19146451C2semidirect
12. #19146447C2semidirect
13. #19146415C2semidirect
14. #19146404C2semidirect
15. #19146193C2semidirect
16. #19146079C2semidirect
17. #19146071C2semidirect
18. #19145285C2semidirect
19. #19145273C2semidirect
20. #19145149C2semidirect
21. #19144793C2semidirect
22. #19144789C2semidirect
23. #19144784C2semidirect
24. #19144780C2semidirect
25. #19144689C2semidirect
26. #19144683C2semidirect
27. #19143563C2semidirect
28. #19143422C2semidirect
29. #19143421C2semidirect
30. C2×#14582979C2semidirect
31. C43×#3295C2semidirect
35. #14583621C22semidirect
36. #14583613C22semidirect
37. #14583608C22semidirect
38. #14583604C22semidirect
45. #14583569C22semidirect
46. #14583564C22semidirect
48. #14583551C22semidirect
49. #14583550C22semidirect
50. #14583545C22semidirect
52. #14583540C22semidirect
56. D4×C22⋊D43C22semidirect
57. #14583523C22semidirect
58. #14583522C22semidirect
59. #14583503C22semidirect
60. #14583502C22semidirect
65. #14583451C22semidirect
72. #14583381C22semidirect
73. #14583380C22semidirect
74. #14583374C22semidirect
75. #14583371C22semidirect
77. C2×#13063287C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583296C22semidirect
81. #14583286C22semidirect
82. #14583285C22semidirect
83. #14583270C22semidirect
84. #14583255C22semidirect
85. #14583254C22semidirect
86. #14583248C22semidirect
87. #14583244C22semidirect
88. #14583244C22semidirect
89. #14583243C22semidirect
90. #14583237C22semidirect
91. #14583235C22semidirect
92. #14583232C22semidirect
93. #14583225C22semidirect
94. #14583224C22semidirect
95. #14583217C22semidirect
96. #14583216C22semidirect
97. #14583212C22semidirect
98. #14583211C22semidirect
99. #14583209C22semidirect
100. #14583206C22semidirect
101. #14583200C22semidirect
102. #14583198C22semidirect
103. #14583188C22semidirect
104. #14583188C22semidirect
105. #14583187C22semidirect
106. #14583177C22semidirect
107. #14583177C22semidirect
108. #14583177C22semidirect
109. #14583176C22semidirect
110. #14583151C22semidirect
111. #14583150C22semidirect
112. #14583147C22semidirect
113. #14583144C22semidirect
114. #14583135C22semidirect
115. #14583134C22semidirect
116. #14583130C22semidirect
117. #14583128C22semidirect
118. #14583127C22semidirect
119. #14583126C22semidirect
121. #14583116C22semidirect
122. #14583115C22semidirect
124. #14583102C22semidirect
125. #14583102C22semidirect
126. #14583098C22semidirect
127. #14583093C22semidirect
128. #14583093C22semidirect
129. #14583093C22semidirect
130. #14583091C22semidirect
131. #14583051C22semidirect
133. #14583046C22semidirect
134. #14583043C22semidirect
135. #14583043C22semidirect
136. #14583042C22semidirect
137. #14583035C22semidirect
140. #14583032C22semidirect
141. #14583028C22semidirect
142. C8×Dic86C22semidirect
143. #14583010C22semidirect
144. #14583010C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583000C22semidirect
150. #14583000C22semidirect
151. #14582997C22semidirect
152. #14582996C22semidirect
153. #14582996C22semidirect
154. #14582996C22semidirect
155. #14582990C22semidirect
156. #14582990C22semidirect
157. SD16×Dic43C22semidirect
158. #14582986C22semidirect
159. #14582984C22semidirect
160. C4×D344C22semidirect
165. #14582979C22semidirect
166. #14582979C22semidirect
167. #14582979C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
172. #14582967C22semidirect
173. C8×C22⋊D43C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582939C22semidirect
179. #14582938C22semidirect
180. C2×#13063258C22semidirect
181. #14582896C22semidirect
182. #14582894C22semidirect
183. C2×#13063247C22semidirect
184. #102×D43C22semidirect
185. #14582854C22semidirect
186. #14582853C22semidirect
187. C2×C8×Dic43C22semidirect
188. C43×#554C22semidirect
190. C43×#486C22semidirect
191. C43×#481C22semidirect
192. C43×#481C22semidirect
193. C43×#476C22semidirect
194. C43×#465C22semidirect
195. C43×#465C22semidirect
196. C43×#460C22semidirect
198. C43×#450C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
202. C2×#102×C43C22semidirect
622. #10621882#41semidirect
889. #3295D43semidirect
926. #554C2×D43semidirect
978. #486C2×D43semidirect
987. #481C2×D43semidirect
988. #481C2×D43semidirect
998. #476C2×D43semidirect
1013. #465C2×D43semidirect
1014. #465C2×D43semidirect
1022. #460C2×D43semidirect
1030. #450C2×D43semidirect
1058. C4×SD16C2×D43semidirect
1074. C8×D4C2×D43semidirect
1086. C2×#102C2×D43semidirect
1090. C43#61496semidirect

Maximal subgroups

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

subgroupindex
#191486402
#191486142
#191476102
#191474892
#191472452
#191472272
#191471832
#191470782
#191470742
#191465182
#191464512
#191464472
#191464152
#191464042
#191461932
#191460792
#191460712
#191452852
#191452732
#191451492
#191447932
#191447892
#191447842
#191447802
#191446892
#191446832
#191435632
#191434222
#191434212
C2×#145829792
C43×#32952
#6149643