Finite Group Databasebeta

← #25993804

Subgroups — #25993804

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#19149244C211yesmaximal, characteristic, complemented
2#19148535C211yesmaximal, characteristic, complemented
3#19147553C211yesmaximal, characteristic, complemented
4#19147465C211yesmaximal, characteristic, complemented
5#19147361C211yesmaximal, characteristic, complemented
6#19147258C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147162C211yesmaximal, characteristic, complemented
9#19147151C211yesmaximal, characteristic, complemented
10#19147126C211yesmaximal, characteristic, complemented
11#19147036C211yesmaximal, characteristic, complemented
12#19146994C211yesmaximal, characteristic, complemented
13#19146822C211yesmaximal, characteristic, complemented
14#19146807C211yesmaximal, characteristic, complemented
15#19146793C211yesmaximal, characteristic, complemented
16#19146752C211yesmaximal, characteristic, complemented
17#19146737C211yesmaximal, characteristic, complemented
18#19146427C211yesmaximal, characteristic, complemented
19#19146055C211yesmaximal, characteristic, complemented
20#19146005C211yesmaximal, characteristic, complemented
21#19145996C211yesmaximal, characteristic, complemented
22#19145890C211yesmaximal, characteristic, complemented
23#19145855C211yesmaximal, characteristic, complemented
24#19145774C211yesmaximal, characteristic, complemented
25#19144877C211yesmaximal, characteristic, complemented
26#19144786C211yesmaximal, characteristic, complemented
27#19144642C211yesmaximal, characteristic, complemented
28#19144441C211yesmaximal, characteristic, complemented
29#19144421C211yesmaximal, characteristic, complemented
30#19143740C211yesmaximal, characteristic, complemented
31C43×#3077C211yesmaximal, characteristic, complemented
32#14583650—21no—
33#14583645—21no—
34#14583632C2211yescharacteristic
35#14583626C2211yescharacteristic, complemented
36#14583621—21no—
37#14583617C2211yescharacteristic
38#14583612C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic
40#14583605C2211yescharacteristic, complemented
41#14583602C2211yescharacteristic, complemented
42#14583599C2211yescharacteristic
43#14583598—21no—
44#14583593C2211yescharacteristic
45#14583590—21no—
46#14583588C2211yescharacteristic, complemented
47#14583587C2211yescharacteristic, complemented
48#14583584C2211yescharacteristic
49#14583578—21no—
50#14583575—21no—
51#14583550C2211yescharacteristic
52#14583544C2211yescharacteristic
53#14583543C2211yescharacteristic
54#14583539—21no—
55D4×C22⋊D43C2211yescharacteristic
56#14583526C2211yescharacteristic, complemented
57#14583526C2211yescharacteristic, complemented
58#14583523C2211yescharacteristic, complemented
59#14583523C2211yescharacteristic, complemented
60#14583521—21no—
61#14583519—21no—
62#14583514C2211yescharacteristic
63#14583507—21no—
64#14583500C2211yescharacteristic
65#14583495—21no—
66#14583491—21no—
67#14583482—21no—
68#14583433C2211yescharacteristic
69#14583433C2211yescharacteristic
70#14583433C2211yescharacteristic, complemented
71#14583410—21no—
72C2×#13063308—21no—
73#14583378C2211yescharacteristic
74#14583371C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583300C2211yescharacteristic, complemented
78#14583298C2211yescharacteristic, complemented
79#14583298C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583262C2211yescharacteristic
82#14583257C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic, complemented
84#14583256C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583234C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic
97#14583223C2211yescharacteristic
98#14583221C2211yescharacteristic
99#14583221C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic, complemented
101#14583217C2211yescharacteristic, complemented
102#14583216C2211yescharacteristic
103#14583216C2211yescharacteristic, complemented
104#14583214C2211yescharacteristic, complemented
105#14583209C2211yescharacteristic, complemented
106#14583207C2211yescharacteristic, complemented
107#14583207C2211yescharacteristic, complemented
108#14583205C2211yescharacteristic, complemented
109#14583201C2211yescharacteristic
110#14583201C2211yescharacteristic
111#14583200C2211yescharacteristic, complemented
112#14583200C2211yescharacteristic, complemented
113#14583199C2211yescharacteristic
114#14583199C2211yescharacteristic, complemented
115#14583198C2211yescharacteristic, complemented
116#14583198C2211yescharacteristic, complemented
117#14583193C2211yescharacteristic, complemented
118#14583193C2211yescharacteristic, complemented
119#14583191C2211yescharacteristic, complemented
120#14583188C2211yescharacteristic, complemented
121#14583186C2211yescharacteristic, complemented
122#14583181C2211yescharacteristic, complemented
123#14583178C2211yescharacteristic, complemented
124#14583177C2211yescharacteristic
125#14583177C2211yescharacteristic
126#14583176C2211yescharacteristic, complemented
127#14583157C2211yescharacteristic, complemented
128#14583153C2211yescharacteristic, complemented
129#14583152C2211yescharacteristic
130#14583146C2211yescharacteristic, complemented
131#14583145C2211yescharacteristic
132#14583145C2211yescharacteristic, complemented
133#14583144C2211yescharacteristic
134#14583144C2211yescharacteristic, complemented
135#14583141C2211yescharacteristic, complemented
136#14583134C2211yescharacteristic
137#14583134C2211yescharacteristic, complemented
138#14583129C2211yescharacteristic, complemented
139#14583122C2211yescharacteristic, complemented
140#14583122C2211yescharacteristic, complemented
141#14583120C2211yescharacteristic, complemented
142#14583115C2211yescharacteristic, complemented
143#14583115C2211yescharacteristic, complemented
144#14583114C2211yescharacteristic
145#14583114C2211yescharacteristic, complemented
146#14583113C2211yescharacteristic, complemented
147#14583098C2211yescharacteristic
148#14583093C2211yescharacteristic
149#14583062C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583050C2211yescharacteristic
152#14583045C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583033C2211yescharacteristic
155#14583026C2211yescharacteristic, complemented
156#14583023C2211yescharacteristic, complemented
157#14583008C2211yescharacteristic
158#14583008C2211yescharacteristic
159#14583005C2211yescharacteristic, complemented
160#14582998C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic
163#14582986C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic
165C4×#10621883C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic
168C4×#10621882C2211yescharacteristic, complemented
169#14582976C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic
171#14582975C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582964C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582959C2211yescharacteristic, complemented
177#14582952C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180#14582934C2211yescharacteristic, complemented
181#107×D43C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183#14582924C2211yescharacteristic, complemented
184#14582902C2211yescharacteristic
185#14582897C2211yescharacteristic
186#14582892C2211yescharacteristic
187#102×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C2×C4×D4×C43C2211yescharacteristic
190C43×#478C2211yescharacteristic
191C43×#478C2211yescharacteristic
192C43×#478C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#476C2211yescharacteristic
195C43×#476C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic
197C43×#474C2211yescharacteristic, complemented
198C43×#428C2211yescharacteristic, complemented
199C43×#428C2211yescharacteristic, complemented
200C43×#423C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic
202C43×#418C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C22×C22⋊D43—21no—
206C2×D4×D43C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621873C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×C8×D43C2311yescharacteristic
218C2×C8×D43C2311yescharacteristic
219#13063324—21no—
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063323—21no—
224#13063323—21no—
225#13063321C2311yescharacteristic
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063319—21no—
232#13063319—21no—
233#13063319—21no—
234#13063319—21no—
235#13063319D411yescharacteristic
236#13063319D411yescharacteristic
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317—21no—
242#13063317D411yescharacteristic
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063314—21no—
255#13063314—21no—
256#13063313—21no—
257#13063313D411yescharacteristic
258#13063313C2311yescharacteristic
259#13063313C2311yescharacteristic
260#13063312C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063309—21no—
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308—21no—
278#13063308—21no—
279#13063308D411yescharacteristic
280#13063308D411yescharacteristic
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304—21no—
292#13063304D411yescharacteristic
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063300—21no—
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299—21no—
312#13063299D411yescharacteristic
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063297—21no—
320#13063297—21no—
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063295—21no—
324#13063294—21no—
325#13063294—21no—
326#13063293—21no—
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355#13063284—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063282C2311yescharacteristic
366#13063281—21no—
367C2×Dic43⋊C4—21no—
368C2×Dic43⋊C4—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C2×C22⋊Dic43—21no—
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C22×D4×C43C2311yescharacteristic
436C23×C4×C43—21no—
437C2×M16×C43C2311yescharacteristic
438C2×M16×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C4×Q8×C43—21no—
446C4×Q8×C43—21no—
447C4×D4×C43—21no—
448C4×D4×C43—21no—
449C4×D4×C43C2311yescharacteristic
450C4×D4×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2311yescharacteristic
456C2×C22⋊C4×C43—21no—
457C2×C42×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×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
478C24×C43—21no—
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—22no—
484C2×D4×C43—41no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—82no—
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2×D411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—82no—
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510#10621900—22no—
511#10621900—41no—
512D4×D43—22no—
513D4×D43—41no—
514#10621898—82no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172C2×D411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2411yescharacteristic
536C2×Dic86C2411yescharacteristic
537M16×C43—41no—
538M16×C43—41no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C42×C43—21no—
563C42×C43—21no—
564C42×C43C2×D411yescharacteristic
565C42×C43C2×D411yescharacteristic
566C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
577C22⋊Dic43C2×D411yescharacteristic
578#10621883—22no—
579#10621883—41no—
580#10621882—22no—
581#10621882—41no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664Dic172—41no—
665D344—41no—
666#10621873—41no—
667#10621873—41no—
668#10621872—41no—
669#10621872—41no—
670C8×D43—41no—
671C8×D43—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—42no—
675C23×C43—42no—
676C23×C43—81no—
677C23×C43C22×D411yescharacteristic
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—42no—
681C22×D43—81no—
682C22×D43—81no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—81no—
686Q8×C43—81no—
687D4×C43—21no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—42no—
691D4×C432−1+412yes—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—41no—
701C2×C4×C43—41no—
702C2×C4×C43—42no—
703C2×C4×C43—81no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—41no—
714C22⋊D43—41no—
715C22⋊D43—42no—
716C22⋊D43—42no—
717C22⋊D43—42no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—42no—
730C2×Dic43—81no—
731C2×Dic43—81no—
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738D172—21no—
739D172—21no—
740D172—21no—
741D172—21no—
742D172—41no—
743D172—81no—
744D172—81no—
745D172—81no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758Dic86—21no—
759Dic86—21no—
760Dic86—21no—
761Dic86—21no—
762Dic86—41no—
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—22no—
778C22×C43—21no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—84no—
785C22×C43C23×D411yescharacteristic
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43C2×2−1+411yescharacteristic
811C4×C43#58511yescharacteristic
812Dic43—21no—
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
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#3322—431no—
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#3077D4311yescharacteristic, complemented
854#2993—431no—
855C2×C43—42no—
856C2×C43—41no—
857C2×C43—81no—
858C2×C43#348911yescharacteristic
859C2×C43#358411yescharacteristic
860C2×C43#358511yescharacteristic
861D43—41no—
862D43—41no—
863D43—81no—
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—431no—
877#553—861no—
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—431no—
887#546—861no—
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#533C2×D4311yescharacteristic, complemented
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4C2×D4311yescharacteristic
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#488—431no—
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
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#480—431no—
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#478C2×D4311yescharacteristic
953#478C2×D4311yescharacteristic
954#478C2×D4311yescharacteristic, complemented
955#478C2×D4311yescharacteristic, complemented
956#477—431no—
957#477—431no—
958#477—431no—
959#476—431no—
960#476—431no—
961#476C2×D4311yescharacteristic
962#476C2×D4311yescharacteristic, complemented
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474C2×D4311yescharacteristic
969#474C2×D4311yescharacteristic, complemented
970#470—431no—
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
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#463—431no—
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449—431no—
996#447—431no—
997#447—431no—
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×D8—431no—
1012#436—431no—
1013#436—431no—
1014#436—431no—
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#428C2×D4311yescharacteristic, complemented
1024#428C2×D4311yescharacteristic, complemented
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424—431no—
1029#423C2×D4311yescharacteristic, complemented
1030#418—431no—
1031#418C2×D4311yescharacteristic
1032#418C2×D4311yescharacteristic
1033#417—431no—
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×D4—431no—
1040C22×D4—861no—
1041C22×D4C22×D4311yescharacteristic
1042C23×C4—21no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16—431no—
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8—431no—
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—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8C22×D4311yescharacteristic
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#126—431no—
1067#126—431no—
1068#126—861no—
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—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125C22×D4311yescharacteristic
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—431no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#123—431no—
1108#123—431no—
1109#123—861no—
1110#123—861no—
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—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
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⋊Q8—861no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×D4—21no—
1182C4×D4—21no—
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×D4C22×D4311yescharacteristic
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—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117C22×D4311yescharacteristic
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×C42C22×D4311yescharacteristic
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#107C22×D4311yescharacteristic
1243#107C22×D4311yescharacteristic
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#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8C22×D4311yescharacteristic
1265C4⋊C8C22×D4311yescharacteristic
1266C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1276#103—431no—
1277#103—431no—
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#102C22×D4311yescharacteristic
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⋊C8—431no—
1305C22⋊C8—431no—
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312C24—21no—
1313C24—861no—
1314#41—862no—
1315#41—3442no—
1316#41—1721no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—431no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8—861no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—431no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—862no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—3442no—
1346C2×D4—1721no—
1347C2×D4C23×D4311yescharacteristic
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—82no—
1355C22×C4—431no—
1356C22×C4—431no—
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×C4D4×D4311yescharacteristic
1369C22×C4D4×D4311yescharacteristic
1370C22×C4C23×D4311yescharacteristic
1371Q16—1721no—
1372SD16—862no—
1373SD16—1721no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—862no—
1377D8—1721no—
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—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
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—431no—
1413C4⋊C4—431no—
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⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×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—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—861no—
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⋊C4—861no—
1489C22⋊C4—861no—
1490C42—21no—
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42D4×D4311yescharacteristic
1503C42D4×D4311yescharacteristic
1504C42C23×D4311yescharacteristic
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—431no—
1512C23—431no—
1513C23—861no—
1514C23—861no—
1515C23—3441no—
1516C23—3441no—
1517C23—1722no—
1518C23C2×D4×D4311yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—861no—
1522Q8—861no—
1523Q8—861no—
1524Q8—861no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—861no—
1534D4—861no—
1535D4—861no—
1536D4—861no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1721no—
1547D4—1721no—
1548D4—1722no—
1549D4—1722no—
1550D4—1722no—
1551D4#1306337312yes—
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—41no—
1561C2×C4—41no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
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—861no—
1582C2×C4—861no—
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—3441no—
1593C2×C4—1722no—
1594C2×C4C2×D4×D4311yescharacteristic
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—22no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—84no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—861no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#1306337311yescharacteristic
1656C4#1458373511yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—3441no—
1661C2—3441no—
1662C2—1721no—
1663C2—1721no—
1664C2#1914827111yescharacteristic
1665C2#1914936811yescharacteristic
1666C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3077C2
socleC22×C43C23×D4
hypercenter#3077D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #19149244C2semidirect
2. #19148535C2semidirect
3. #19147553C2semidirect
4. #19147465C2semidirect
5. #19147361C2semidirect
6. #19147258C2semidirect
7. #19147186C2semidirect
8. #19147162C2semidirect
9. #19147151C2semidirect
10. #19147126C2semidirect
11. #19147036C2semidirect
12. #19146994C2semidirect
13. #19146822C2semidirect
14. #19146807C2semidirect
15. #19146793C2semidirect
16. #19146752C2semidirect
17. #19146737C2semidirect
18. #19146427C2semidirect
19. #19146055C2semidirect
20. #19146005C2semidirect
21. #19145996C2semidirect
22. #19145890C2semidirect
23. #19145855C2semidirect
24. #19145774C2semidirect
25. #19144877C2semidirect
26. #19144786C2semidirect
27. #19144642C2semidirect
28. #19144441C2semidirect
29. #19144421C2semidirect
30. #19143740C2semidirect
31. C43×#3077C2semidirect
35. #14583626C22semidirect
38. #14583612C22semidirect
40. #14583605C22semidirect
41. #14583602C22semidirect
46. #14583588C22semidirect
47. #14583587C22semidirect
56. #14583526C22semidirect
57. #14583526C22semidirect
58. #14583523C22semidirect
59. #14583523C22semidirect
70. #14583433C22semidirect
75. #14583307C22semidirect
76. #14583306C22semidirect
77. #14583300C22semidirect
78. #14583298C22semidirect
79. #14583298C22semidirect
80. #14583296C22semidirect
82. #14583257C22semidirect
83. #14583256C22semidirect
84. #14583256C22semidirect
85. #14583252C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583240C22semidirect
90. #14583240C22semidirect
91. #14583234C22semidirect
92. #14583231C22semidirect
93. #14583231C22semidirect
94. #14583226C22semidirect
95. #14583226C22semidirect
99. #14583221C22semidirect
100. #14583219C22semidirect
101. #14583217C22semidirect
103. #14583216C22semidirect
104. #14583214C22semidirect
105. #14583209C22semidirect
106. #14583207C22semidirect
107. #14583207C22semidirect
108. #14583205C22semidirect
111. #14583200C22semidirect
112. #14583200C22semidirect
114. #14583199C22semidirect
115. #14583198C22semidirect
116. #14583198C22semidirect
117. #14583193C22semidirect
118. #14583193C22semidirect
119. #14583191C22semidirect
120. #14583188C22semidirect
121. #14583186C22semidirect
122. #14583181C22semidirect
123. #14583178C22semidirect
126. #14583176C22semidirect
127. #14583157C22semidirect
128. #14583153C22semidirect
130. #14583146C22semidirect
132. #14583145C22semidirect
134. #14583144C22semidirect
135. #14583141C22semidirect
137. #14583134C22semidirect
138. #14583129C22semidirect
139. #14583122C22semidirect
140. #14583122C22semidirect
141. #14583120C22semidirect
142. #14583115C22semidirect
143. #14583115C22semidirect
145. #14583114C22semidirect
146. #14583113C22semidirect
155. #14583026C22semidirect
156. #14583023C22semidirect
159. #14583005C22semidirect
160. #14582998C22semidirect
163. #14582986C22semidirect
165. C4×#10621883C22semidirect
166. #14582981C22semidirect
168. C4×#10621882C22semidirect
169. #14582976C22semidirect
171. #14582975C22semidirect
173. #14582968C22semidirect
174. #14582964C22semidirect
175. #14582959C22semidirect
176. #14582959C22semidirect
177. #14582952C22semidirect
178. #14582940C22semidirect
179. #14582938C22semidirect
180. #14582934C22semidirect
181. #107×D43C22semidirect
182. #14582924C22semidirect
183. #14582924C22semidirect
188. C43×#533C22semidirect
192. C43×#478C22semidirect
193. C43×#478C22semidirect
195. C43×#476C22semidirect
197. C43×#474C22semidirect
198. C43×#428C22semidirect
199. C43×#428C22semidirect
200. C43×#423C22semidirect
853. #3077D43semidirect
901. #533C2×D43semidirect
954. #478C2×D43semidirect
955. #478C2×D43semidirect
962. #476C2×D43semidirect
969. #474C2×D43semidirect
1023. #428C2×D43semidirect
1024. #428C2×D43semidirect
1029. #423C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492442
#191485352
#191475532
#191474652
#191473612
#191472582
#191471862
#191471622
#191471512
#191471262
#191470362
#191469942
#191468222
#191468072
#191467932
#191467522
#191467372
#191464272
#191460552
#191460052
#191459962
#191458902
#191458552
#191457742
#191448772
#191447862
#191446422
#191444412
#191444212
#191437402
C43×#30772
#6217543