Finite Group Databasebeta

← #25979680

Subgroups — #25979680

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148612C211yesmaximal, characteristic, complemented
2#19148529C211yesmaximal, characteristic, complemented
3#19147658C211yesmaximal, characteristic, complemented
4#19147508C211yesmaximal, characteristic, complemented
5#19147425C211yesmaximal, characteristic, complemented
6#19147404C211yesmaximal, characteristic, complemented
7#19147177C211yesmaximal, characteristic, complemented
8#19147128C211yesmaximal, characteristic, complemented
9#19147092C211yesmaximal, characteristic, complemented
10#19146856C211yesmaximal, characteristic, complemented
11#19146824C211yesmaximal, characteristic, complemented
12#19146763C211yesmaximal, characteristic, complemented
13#19146758C211yesmaximal, characteristic, complemented
14#19146634C211yesmaximal, characteristic, complemented
15#19146579C211yesmaximal, characteristic, complemented
16#19146219C211yesmaximal, characteristic, complemented
17#19146100C211yesmaximal, characteristic, complemented
18#19146093C211yesmaximal, characteristic, complemented
19#19145284C211yesmaximal, characteristic, complemented
20#19145232C211yesmaximal, characteristic, complemented
21#19145202C211yesmaximal, characteristic, complemented
22#19144885C211yesmaximal, characteristic, complemented
23#19144855C211yesmaximal, characteristic, complemented
24#19144828C211yesmaximal, characteristic, complemented
25#19144777C211yesmaximal, characteristic, complemented
26#19144695C211yesmaximal, characteristic, complemented
27#19143575C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic, complemented
29#19143437C211yesmaximal, characteristic, complemented
30C4×#13063350C211yesmaximal, characteristic, complemented
31C43×#3111C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583631C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic, complemented
37#14583619—21no—
38#14583619C2211yescharacteristic, complemented
39#14583617—21no—
40#14583617—21no—
41#14583617C2211yescharacteristic
42#14583617C2211yescharacteristic, complemented
43#14583614—21no—
44#14583614C2211yescharacteristic, complemented
45#14583605C2211yescharacteristic
46#14583602C2211yescharacteristic
47#14583593—21no—
48#14583591C2211yescharacteristic
49#14583578—21no—
50#14583573—21no—
51Q8×D172C2211yescharacteristic, complemented
52#14583556C2211yescharacteristic
53#14583556C2211yescharacteristic, complemented
54#14583549C2211yescharacteristic
55#14583544—21no—
56#14583542C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583514—21no—
61#14583514—21no—
62#14583514C2211yescharacteristic, complemented
63#14583514C2211yescharacteristic, complemented
64#14583500C2211yescharacteristic
65#14583490—21no—
66#14583488—21no—
67#14583456—21no—
68#14583456C2211yescharacteristic, complemented
69#14583433—21no—
70#14583433C2211yescharacteristic
71#14583407—21no—
72#123×D43—21no—
73#14583381C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic
77C2×C4×D172C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583269C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583258C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic
90#14583243C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583235C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic
97#14583221C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic
105#14583183C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic
107#14583180C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic
109#14583177C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583146C2211yescharacteristic
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic
116#14583143C2211yescharacteristic
117#14583142C2211yescharacteristic, complemented
118#14583139C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic
120#14583132C2211yescharacteristic, complemented
121#14583129C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic, complemented
123#14583123C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic
126#14583113C2211yescharacteristic
127#14583112C2211yescharacteristic, complemented
128#14583105C2211yescharacteristic
129#14583105C2211yescharacteristic, complemented
130#14583098C2211yescharacteristic
131#14583097C2211yescharacteristic
132#14583064C2211yescharacteristic
133#14583053C2211yescharacteristic, complemented
134#14583052C2211yescharacteristic
135#14583052C2211yescharacteristic
136#14583051C2211yescharacteristic
137#14583043C2211yescharacteristic
138#14583039C2211yescharacteristic
139#14583039C2211yescharacteristic, complemented
140#14583036C2211yescharacteristic, complemented
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583028C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic
145#14583009C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583002C2211yescharacteristic
148#14583001C2211yescharacteristic
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic
154#14582997C2211yescharacteristic
155#14582997C2211yescharacteristic, complemented
156Q16×Dic43C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic
161C4×#10621884C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167C4×#10621882C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582961C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582903C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582900C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C4×#10621877C2211yescharacteristic, complemented
188C43×#529C2211yescharacteristic
189C4×#41×C43C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063357—24no—
212#13063350—24no—
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223SD16×D43—24no—
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325—21no—
233#13063325—21no—
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063324—21no—
237#13063324—21no—
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319D411yescharacteristic
248#13063319D411yescharacteristic
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063317—21no—
256#13063317D411yescharacteristic
257#13063316—21no—
258#13063316C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063313—21no—
261#13063313D411yescharacteristic
262#13063312—21no—
263#13063312—21no—
264#13063312C2311yescharacteristic
265#13063312C2311yescharacteristic
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063309—21no—
277#13063309—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308D411yescharacteristic
282#13063308D411yescharacteristic
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305—21no—
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304—21no—
295#13063304—21no—
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304D411yescharacteristic
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063302—21no—
306#13063301C2311yescharacteristic
307#13063300—21no—
308#13063300—21no—
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063299—21no—
312#13063299—21no—
313#13063299D411yescharacteristic
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063293—21no—
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86—21no—
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338#13063290—21no—
339#13063290—21no—
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342C4×D172—21no—
343C4×D172—21no—
344C4×D172—21no—
345C4×D172—21no—
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350C4×D172C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284—21no—
364#13063284—21no—
365#13063284—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282C2311yescharacteristic
375#13063282C2311yescharacteristic
376#13063281—21no—
377C2×C4⋊Dic43C2311yescharacteristic
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43C2311yescharacteristic
381C2×(C2×D43)⋊C4—21no—
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063259C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43C2311yescharacteristic
445#124×C43C2311yescharacteristic
446#123×C43—21no—
447C22⋊Q8×C43C2311yescharacteristic
448#121×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C42×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2×D411yescharacteristic
496C22×C4×C43C2×D411yescharacteristic
497C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621902—22no—
509#10621902—41no—
510Q8×D43—22no—
511Q8×D43—22no—
512Q8×D43—41no—
513Q8×D43—41no—
514#10621900—82no—
515D4×D43—22no—
516D4×D43—41no—
517D4×D43—82no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—22no—
523C2×D172—41no—
524C2×D172C2×D411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—82no—
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550SD16×C43—22no—
551SD16×C43—41no—
552D8×C43—41no—
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2×D411yescharacteristic
580C42×C43C2×D411yescharacteristic
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595#10621885—22no—
596#10621885—41no—
597#10621884—22no—
598#10621884#4114yescomplemented
599#10621883—22no—
600#10621883—41no—
601#10621882—22no—
602#10621882—22no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676#10621877—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681#10621873—22no—
682#10621873—22no—
683#10621873—41no—
684#10621873—41no—
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43C2×#4112yes—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—42no—
711D4×C43—42no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—41no—
721C2×C4×C43—41no—
722C2×C4×C43—42no—
723C2×C4×C43—42no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C2511yescharacteristic
732C22⋊D43—41no—
733C22⋊D43—41no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—42no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754D172—21no—
755D172—21no—
756D172—21no—
757D172—41no—
758D172—42no—
759D172—42no—
760D172—81no—
761D172—81no—
762D172C2×#4112yes—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—41no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—22no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—22no—
826C4×C43—21no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111D4311yescharacteristic, complemented
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—81no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—41no—
885D43—42no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#542—861no—
919#540—431no—
920#539—861no—
921#538—861no—
922#533—431no—
923#533—861no—
924#529—431no—
925#529—861no—
926#529C2×D4311yescharacteristic
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41C2×D4311yescharacteristic, complemented
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485C2×D4311yescharacteristic, complemented
950#484—431no—
951#484—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482C2×D4311yescharacteristic
958#480—431no—
959#479—431no—
960#479—431no—
961#479C2×D4311yescharacteristic, complemented
962#478C2×D4311yescharacteristic, complemented
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464C2×D4311yescharacteristic, complemented
987#463—431no—
988#463—431no—
989#463—431no—
990#463C2×D4311yescharacteristic, complemented
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452C2×D4311yescharacteristic, complemented
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449C2×D4311yescharacteristic
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442C2×D4311yescharacteristic, complemented
1012#441—431no—
1013#441C2×D4311yescharacteristic, complemented
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440C2×D4311yescharacteristic, complemented
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432C2×D4311yescharacteristic, complemented
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—864no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8—861no—
1101C4⋊Q8—861no—
1102#127—431no—
1103#126—21no—
1104#126—431no—
1105#126—431no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#125—431no—
1118#125—431no—
1119#125—861no—
1120#125—861no—
1121#125C22×D4311yescharacteristic
1122#124—431no—
1123#124—431no—
1124#124—431no—
1125#124—431no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124C22×D4311yescharacteristic
1137#123—21no—
1138#123—431no—
1139#123—431no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8C22×D4311yescharacteristic
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—431no—
1224C4×D4—431no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—431no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—21no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344C2×Q8—431no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—861no—
1348C2×Q8—861no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—862no—
1355C2×Q8—1721no—
1356C2×Q8—1721no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—862no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—3442no—
1402C22×C4D4×D4311yescharacteristic
1403C22×C4D4×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—22no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—41no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—41no—
1419D8—862no—
1420D8—862no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—431no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42D4×D4311yescharacteristic
1542C42D4×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—431no—
1548C23—431no—
1549C23—861no—
1550C23—861no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—3441no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571Q8—1722no—
1572Q8#41×D4312yes—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—42no—
1578D4—42no—
1579D4—432no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—1721no—
1591D4—1722no—
1592D4—1722no—
1593D4—1721no—
1594D4—1721no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—861no—
1663C22—862no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—3444no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—22no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—3441no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807811yescharacteristic
1709C2#1914937211yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3111C2
socleC22×C43C23×D4
hypercenter#3111D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #19148612C2semidirect
2. #19148529C2semidirect
3. #19147658C2semidirect
4. #19147508C2semidirect
5. #19147425C2semidirect
6. #19147404C2semidirect
7. #19147177C2semidirect
8. #19147128C2semidirect
9. #19147092C2semidirect
10. #19146856C2semidirect
11. #19146824C2semidirect
12. #19146763C2semidirect
13. #19146758C2semidirect
14. #19146634C2semidirect
15. #19146579C2semidirect
16. #19146219C2semidirect
17. #19146100C2semidirect
18. #19146093C2semidirect
19. #19145284C2semidirect
20. #19145232C2semidirect
21. #19145202C2semidirect
22. #19144885C2semidirect
23. #19144855C2semidirect
24. #19144828C2semidirect
25. #19144777C2semidirect
26. #19144695C2semidirect
27. #19143575C2semidirect
28. #19143451C2semidirect
29. #19143437C2semidirect
30. C4×#13063350C2semidirect
31. C43×#3111C2semidirect
36. Q8×Dic86C22semidirect
38. #14583619C22semidirect
42. #14583617C22semidirect
44. #14583614C22semidirect
51. Q8×D172C22semidirect
53. #14583556C22semidirect
62. #14583514C22semidirect
63. #14583514C22semidirect
68. #14583456C22semidirect
74. #14583375C22semidirect
75. #14583375C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
81. #14583294C22semidirect
83. #14583280C22semidirect
84. #14583269C22semidirect
85. #14583260C22semidirect
86. #14583258C22semidirect
87. #14583257C22semidirect
88. #14583252C22semidirect
90. #14583243C22semidirect
91. #14583239C22semidirect
92. #14583236C22semidirect
93. #14583235C22semidirect
94. #14583235C22semidirect
95. #14583226C22semidirect
97. #14583221C22semidirect
98. #14583221C22semidirect
99. #14583211C22semidirect
100. #14583208C22semidirect
101. #14583205C22semidirect
102. #14583192C22semidirect
103. #14583192C22semidirect
105. #14583183C22semidirect
107. #14583180C22semidirect
109. #14583177C22semidirect
110. #14583155C22semidirect
111. #14583155C22semidirect
112. #14583151C22semidirect
114. #14583144C22semidirect
117. #14583142C22semidirect
118. #14583139C22semidirect
120. #14583132C22semidirect
121. #14583129C22semidirect
122. #14583124C22semidirect
123. #14583123C22semidirect
124. #14583119C22semidirect
127. #14583112C22semidirect
129. #14583105C22semidirect
133. #14583053C22semidirect
139. #14583039C22semidirect
140. #14583036C22semidirect
142. #14583028C22semidirect
143. #14583028C22semidirect
145. #14583009C22semidirect
146. #14583003C22semidirect
150. #14583001C22semidirect
151. #14583001C22semidirect
152. #14583000C22semidirect
155. #14582997C22semidirect
156. Q16×Dic43C22semidirect
157. C4×#10621885C22semidirect
158. C4×#10621885C22semidirect
159. #14582990C22semidirect
161. C4×#10621884C22semidirect
163. C4×#10621883C22semidirect
164. C4×#10621883C22semidirect
167. C4×#10621882C22semidirect
169. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582969C22semidirect
173. #14582969C22semidirect
174. #14582961C22semidirect
175. #14582961C22semidirect
176. #14582942C22semidirect
177. #14582938C22semidirect
178. #14582936C22semidirect
179. #14582906C22semidirect
182. #14582900C22semidirect
184. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582856C22semidirect
187. C4×#10621877C22semidirect
189. C4×#41×C43C22semidirect
190. C43×#485C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#452C22semidirect
198. C43×#442C22semidirect
199. C43×#441C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C43×#432C22semidirect
598. #10621884#41semidirect
871. #3111D43semidirect
933. C4×#41C2×D43semidirect
949. #485C2×D43semidirect
961. #479C2×D43semidirect
962. #478C2×D43semidirect
986. #464C2×D43semidirect
990. #463C2×D43semidirect
996. #452C2×D43semidirect
1011. #442C2×D43semidirect
1013. #441C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1045. #432C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486122
#191485292
#191476582
#191475082
#191474252
#191474042
#191471772
#191471282
#191470922
#191468562
#191468242
#191467632
#191467582
#191466342
#191465792
#191462192
#191461002
#191460932
#191452842
#191452322
#191452022
#191448852
#191448552
#191448282
#191447772
#191446952
#191435752
#191434512
#191434372
C4×#130633502
C43×#31112
#6150343