Finite Group Databasebeta

← #25979632

Subgroups — #25979632

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148669C211yesmaximal, characteristic, complemented
2#19148665C211yesmaximal, characteristic, complemented
3#19147669C211yesmaximal, characteristic, complemented
4#19147552C211yesmaximal, characteristic, complemented
5#19147248C211yesmaximal, characteristic, complemented
6#19147247C211yesmaximal, characteristic, complemented
7#19147170C211yesmaximal, characteristic, complemented
8#19147143C211yesmaximal, characteristic, complemented
9#19147137C211yesmaximal, characteristic, complemented
10#19146515C211yesmaximal, characteristic, complemented
11#19146505C211yesmaximal, characteristic, complemented
12#19146443C211yesmaximal, characteristic, complemented
13#19146442C211yesmaximal, characteristic, complemented
14#19146428C211yesmaximal, characteristic, complemented
15#19146423C211yesmaximal, characteristic, complemented
16#19146199C211yesmaximal, characteristic, complemented
17#19146126C211yesmaximal, characteristic, complemented
18#19146123C211yesmaximal, characteristic, complemented
19#19145269C211yesmaximal, characteristic, complemented
20#19145265C211yesmaximal, characteristic, complemented
21#19145168C211yesmaximal, characteristic, complemented
22#19144815C211yesmaximal, characteristic, complemented
23#19144785C211yesmaximal, characteristic, complemented
24#19144781C211yesmaximal, characteristic, complemented
25#19144710C211yesmaximal, characteristic, complemented
26#19144708C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143426C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3120C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583621C2211yescharacteristic, complemented
38#14583620C2211yescharacteristic, complemented
39#14583606C2211yescharacteristic, complemented
40#14583605C2211yescharacteristic, complemented
41#14583602—21no—
42#14583602C2211yescharacteristic
43#14583597C2211yescharacteristic
44#14583595—21no—
45#14583584C2211yescharacteristic
46#14583583C2211yescharacteristic
47#14583582—21no—
48#14583581—21no—
49#14583578—21no—
50#14583574—21no—
51#14583574—21no—
52#14583573—21no—
53#14583552C2211yescharacteristic
54#14583548C2211yescharacteristic
55#14583544C2211yescharacteristic, complemented
56#14583540C2211yescharacteristic
57#14583540C2211yescharacteristic, complemented
58#14583537C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583520C2211yescharacteristic
61#14583507C2211yescharacteristic, complemented
62#14583497—21no—
63#14583496—21no—
64#14583488—21no—
65#14583482—21no—
66#14583436C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic, complemented
68#14583434—21no—
69#14583429—21no—
70#14583427C2211yescharacteristic
71C2×#13063320—21no—
72#126×D43—21no—
73#14583381C2211yescharacteristic
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×#10621900C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583300C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583291C2211yescharacteristic, complemented
83#14583284C2211yescharacteristic
84#14583256C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic, complemented
86#14583255C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583249C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583239C2211yescharacteristic, complemented
93#14583238C2211yescharacteristic, complemented
94#14583236C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583226C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic
98#14583225C2211yescharacteristic, complemented
99#14583224C2211yescharacteristic
100#14583205C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic, complemented
106#14583190C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic
113#14583147C2211yescharacteristic
114#14583138C2211yescharacteristic, complemented
115#14583137C2211yescharacteristic, complemented
116#14583137C2211yescharacteristic, complemented
117#14583136C2211yescharacteristic
118#14583131C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583130C2211yescharacteristic
121#14583129C2211yescharacteristic
122#14583124C2211yescharacteristic, complemented
123#14583123C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic
125#14583117C2211yescharacteristic
126#14583116C2211yescharacteristic
127#14583116C2211yescharacteristic
128#14583115C2211yescharacteristic
129#14583115C2211yescharacteristic
130#14583107C2211yescharacteristic, complemented
131#14583103C2211yescharacteristic, complemented
132#14583064C2211yescharacteristic
133#14583060C2211yescharacteristic
134#14583060C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583052C2211yescharacteristic, complemented
137#14583048C2211yescharacteristic, complemented
138#14583047C2211yescharacteristic
139#14583045C2211yescharacteristic
140#14583035C2211yescharacteristic
141#14583034C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583004C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14582997C2211yescharacteristic, complemented
152#14582997C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156C4×#10621873C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163C4×D344C2211yescharacteristic
164#14582981C2211yescharacteristic
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582973C2211yescharacteristic, complemented
170#14582969C2211yescharacteristic, complemented
171#14582964C2211yescharacteristic, complemented
172(C22⋊D43)⋊C8C2211yescharacteristic
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582939C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic, complemented
183C2×#13063245C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic
190C43×#484C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#462C2211yescharacteristic, complemented
195C43×#461C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208#13063352—24no—
209#13063350—24no—
210#13063346—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C22×C43⋊C8C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063319—21no—
247#13063319—21no—
248#13063319—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318D411yescharacteristic
252#13063317—21no—
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315D411yescharacteristic
260#13063314C2311yescharacteristic
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313—21no—
265#13063313C2311yescharacteristic
266#13063311—21no—
267#13063311—21no—
268#13063311D411yescharacteristic
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310D411yescharacteristic
279#13063309—21no—
280#13063308—21no—
281#13063308—21no—
282#13063308—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307D411yescharacteristic
286#13063306—21no—
287#13063305—21no—
288#13063305—21no—
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063299—21no—
312#13063299—21no—
313#13063299C2311yescharacteristic
314#13063298D411yescharacteristic
315#13063297—21no—
316#13063297—21no—
317#13063295—21no—
318#13063295—21no—
319#13063295—21no—
320#13063293—21no—
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323C4×Dic86—21no—
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290C2311yescharacteristic
328C4×D172—21no—
329C4×D172—21no—
330C4×D172—21no—
331C4×D172—21no—
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
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#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369C2×C4⋊Dic43—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
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
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×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#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503#10621902—22no—
504#10621902—22no—
505#10621902—41no—
506#10621902—41no—
507#10621900—22no—
508#10621900—41no—
509D4×D43—22no—
510D4×D43—41no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—22no—
518C2×D172—41no—
519C2×D172C2×D411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
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×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542Q16×C43—41no—
543Q16×C43—41no—
544SD16×C43—22no—
545SD16×C43—22no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2×D411yescharacteristic
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×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43C2411yescharacteristic
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621885—41no—
587#10621884—22no—
588#10621884—22no—
589#10621884—22no—
590#10621884—41no—
591#10621882—22no—
592#10621882#4114yes—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊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)⋊C4—21no—
620(C2×D43)⋊C4—21no—
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⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—22no—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—22no—
679D344—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705D4×C43—21no—
706D4×C43—42no—
707D4×C43C2×#4112yes—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—42no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—41no—
728C22⋊D43—41no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—41no—
752D172—42no—
753D172—42no—
754D172—42no—
755D172—81no—
756D172—81no—
757D172—81no—
758D172C2×#4112yes—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—41no—
764C4×D43—41no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—21no—
778Dic86—41no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61501—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—22no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—22no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43C22×#4111yescharacteristic
827C4×C43#58511yescharacteristic
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—21no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521—431no—
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360—431no—
845#3352—431no—
846#3350—431no—
847#3350—431no—
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296—431no—
854#3273—431no—
855#3267—431no—
856#3267—431no—
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120D4311yescharacteristic, complemented
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946—431no—
869C4×#135—431no—
870C2×C43—41no—
871C2×C43—42no—
872C2×C43D4×#4111yescharacteristic
873C2×C43#358411yescharacteristic
874C2×C43#358411yescharacteristic
875D43—41no—
876D43—41no—
877D43—42no—
878D43—81no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#135—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556—431no—
887#554—431no—
888#554—431no—
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#552—431no—
894#552—431no—
895#552—861no—
896#552—861no—
897#551—861no—
898#551—861no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547—431no—
903#546—431no—
904#546—431no—
905#546—431no—
906#546—431no—
907#542—431no—
908#542—431no—
909#541—431no—
910#541C2×D4311yescharacteristic, complemented
911#539—861no—
912#539—861no—
913#538—861no—
914#538—861no—
915#529—431no—
916#529—431no—
917#529—431no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921C2×#126—861no—
922#520—431no—
923#520C2×D4311yescharacteristic
924#518—431no—
925#518—431no—
926C4×#41—431no—
927C4×#41—431no—
928#501—431no—
929#501—431no—
930#499—431no—
931#497—431no—
932#497—431no—
933#495—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#488—431no—
938#487—431no—
939#487—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#484—431no—
945#484C2×D4311yescharacteristic, complemented
946#483—431no—
947#483C2×D4311yescharacteristic, complemented
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#479C2×D4311yescharacteristic, complemented
956#478—431no—
957#478—431no—
958#478—431no—
959#478C2×D4311yescharacteristic, complemented
960#476—431no—
961#476—431no—
962#474—431no—
963#474—431no—
964#470—431no—
965#470—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467—431no—
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465—431no—
976#464—431no—
977#464—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#462—431no—
985#462C2×D4311yescharacteristic, complemented
986#461—431no—
987#461C2×D4311yescharacteristic, complemented
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452C2×D4311yescharacteristic
993#452C2×D4311yescharacteristic
994#450—431no—
995#450—431no—
996#449—431no—
997#449—431no—
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#441—431no—
1007#441C2×D4311yescharacteristic, complemented
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440C2×D4311yescharacteristic, complemented
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16C2×D4311yescharacteristic, complemented
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029C4×D8—431no—
1030#436—431no—
1031#435—431no—
1032#435—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4—431no—
1036#433—431no—
1037#433C2×D4311yescharacteristic, complemented
1038#432—431no—
1039#428—431no—
1040#428—431no—
1041#427—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#405—431no—
1049#405—431no—
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41C22×D4311yescharacteristic
1056C22×D4—431no—
1057C22×D4—431no—
1058AGL(1,ℤ/8)—864no—
1059AGL(1,ℤ/8)—864no—
1060#135—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16C22×D4311yescharacteristic
1064C2×Q16C22×D4311yescharacteristic
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16C22×D4311yescharacteristic
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×D8—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C22×C8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8C22×D4311yescharacteristic
1087#126—21no—
1088#126—21no—
1089#126—431no—
1090#126—431no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#125—21no—
1110#125—21no—
1111#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—431no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#123—431no—
1130#123—431no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8C22×D4311yescharacteristic
1165C22⋊Q8C22×D4311yescharacteristic
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#120—861no—
1180#120—861no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—861no—
1189C4×Q8—861no—
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117C22×D4311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4—861no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107C22×D4311yescharacteristic
1267#107C22×D4311yescharacteristic
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275#106C22×D4311yescharacteristic
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8C22×D4311yescharacteristic
1281C4⋊C8C22×D4311yescharacteristic
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8C22×D4311yescharacteristic
1319C22⋊C8C22×D4311yescharacteristic
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323#97C22×D4311yescharacteristic
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C4×C8C22×D4311yescharacteristic
1330C24—861no—
1331C24—861no—
1332#41—22no—
1333#41—41no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—1721no—
1338#41—1721no—
1339#41—1721no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—862no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—862no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4C23×D4311yescharacteristic
1391Q16—41no—
1392Q16—41no—
1393Q16—862no—
1394Q16—1721no—
1395SD16—22no—
1396SD16—22no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403D8—434no—
1404D8—862no—
1405D8—862no—
1406D8—1721no—
1407M16—862no—
1408M16—862no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—862no—
1414C2×C8—1721no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8C23×D4311yescharacteristic
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1516C22⋊C4D4×D4311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—431no—
1522C42—431no—
1523C42—431no—
1524C42—431no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42C23×D4311yescharacteristic
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—431no—
1537C23—431no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—3441no—
1542C23—3441no—
1543C23—3441no—
1544C23—3441no—
1545C23—1722no—
1546C23—1722no—
1547C23C2×D4×D4311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—861no—
1555Q8—861no—
1556Q8—3441no—
1557Q8—3441no—
1558Q8—1721no—
1559D4—21no—
1560D4—42no—
1561D4—432no—
1562D4—861no—
1563D4—861no—
1564D4—861no—
1565D4—861no—
1566D4—861no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—1721no—
1572D4—1722no—
1573D4—1722no—
1574D4—1722no—
1575D4—1721no—
1576D4—1721no—
1577D4—1722no—
1578D4—1722no—
1579D4#41×D4312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—1721no—
1620C2×C4—1721no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C2×D4×D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—432no—
1635C8—861no—
1636C8—861no—
1637C8—861no—
1638C22—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—861no—
1645C22—861no—
1646C22—862no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—1721no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—6882no—
1660C22—6882no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—861no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C2×#41×D4311yescharacteristic
1686C4#1458373511yescharacteristic
1687C2—41no—
1688C2—42no—
1689C2—3441no—
1690C2—3441no—
1691C2—1721no—
1692C2—1721no—
1693C2—1722no—
1694C2#1914807811yescharacteristic
1695C2#1914936511yescharacteristic
1696C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3120C2
socleC22×C43C23×D4
hypercenter#3120D43
hypocenterC43#61501
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #19148669C2semidirect
2. #19148665C2semidirect
3. #19147669C2semidirect
4. #19147552C2semidirect
5. #19147248C2semidirect
6. #19147247C2semidirect
7. #19147170C2semidirect
8. #19147143C2semidirect
9. #19147137C2semidirect
10. #19146515C2semidirect
11. #19146505C2semidirect
12. #19146443C2semidirect
13. #19146442C2semidirect
14. #19146428C2semidirect
15. #19146423C2semidirect
16. #19146199C2semidirect
17. #19146126C2semidirect
18. #19146123C2semidirect
19. #19145269C2semidirect
20. #19145265C2semidirect
21. #19145168C2semidirect
22. #19144815C2semidirect
23. #19144785C2semidirect
24. #19144781C2semidirect
25. #19144710C2semidirect
26. #19144708C2semidirect
27. #19143568C2semidirect
28. #19143426C2semidirect
29. #19143423C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3120C2semidirect
35. #14583623C22semidirect
36. #14583622C22semidirect
37. #14583621C22semidirect
38. #14583620C22semidirect
39. #14583606C22semidirect
40. #14583605C22semidirect
55. #14583544C22semidirect
57. #14583540C22semidirect
61. #14583507C22semidirect
66. #14583436C22semidirect
67. #14583436C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
76. C4×#10621902C22semidirect
77. C4×#10621900C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583300C22semidirect
81. #14583292C22semidirect
82. #14583291C22semidirect
84. #14583256C22semidirect
85. #14583255C22semidirect
86. #14583255C22semidirect
87. #14583255C22semidirect
88. #14583249C22semidirect
89. #14583248C22semidirect
90. #14583241C22semidirect
91. #14583239C22semidirect
92. #14583239C22semidirect
93. #14583238C22semidirect
94. #14583236C22semidirect
95. #14583228C22semidirect
96. #14583226C22semidirect
98. #14583225C22semidirect
100. #14583205C22semidirect
101. #14583204C22semidirect
102. #14583204C22semidirect
103. #14583202C22semidirect
104. #14583198C22semidirect
105. #14583197C22semidirect
106. #14583190C22semidirect
107. #14583188C22semidirect
108. #14583180C22semidirect
109. #14583177C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
114. #14583138C22semidirect
115. #14583137C22semidirect
116. #14583137C22semidirect
118. #14583131C22semidirect
119. #14583131C22semidirect
122. #14583124C22semidirect
123. #14583123C22semidirect
130. #14583107C22semidirect
131. #14583103C22semidirect
134. #14583060C22semidirect
135. #14583058C22semidirect
136. #14583052C22semidirect
137. #14583048C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
148. #14583004C22semidirect
149. #14583002C22semidirect
150. #14583001C22semidirect
151. #14582997C22semidirect
152. #14582997C22semidirect
153. #14582997C22semidirect
154. C4×#10621885C22semidirect
155. #14582991C22semidirect
156. C4×#10621873C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
159. C4×#10621884C22semidirect
160. C4×#10621884C22semidirect
161. C4×#10621884C22semidirect
162. #14582986C22semidirect
169. #14582973C22semidirect
170. #14582969C22semidirect
171. #14582964C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582940C22semidirect
177. #14582939C22semidirect
178. #14582934C22semidirect
181. #14582894C22semidirect
182. #14582892C22semidirect
183. C2×#13063245C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#541C22semidirect
190. C43×#484C22semidirect
191. C43×#483C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#462C22semidirect
195. C43×#461C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
861. #3120D43semidirect
910. #541C2×D43semidirect
945. #484C2×D43semidirect
947. #483C2×D43semidirect
955. #479C2×D43semidirect
959. #478C2×D43semidirect
985. #462C2×D43semidirect
987. #461C2×D43semidirect
1007. #441C2×D43semidirect
1013. #440C2×D43semidirect
1016. C4×Q16C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1037. #433C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486692
#191486652
#191476692
#191475522
#191472482
#191472472
#191471702
#191471432
#191471372
#191465152
#191465052
#191464432
#191464422
#191464282
#191464232
#191461992
#191461262
#191461232
#191452692
#191452652
#191451682
#191448152
#191447852
#191447812
#191447102
#191447082
#191435682
#191434262
#191434232
C4×#130633462
C43×#31202
#6150143