Finite Group Databasebeta

← #25979864

Subgroups — #25979864

Order 11008.

1832 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#19148571C211yesmaximal, characteristic, complemented
2#19148523C211yesmaximal, characteristic, complemented
3#19147643C211yesmaximal, characteristic, complemented
4#19147552C211yesmaximal, characteristic, complemented
5#19147380C211yesmaximal, characteristic, complemented
6#19147346C211yesmaximal, characteristic, complemented
7#19147163C211yesmaximal, characteristic, complemented
8#19147073C211yesmaximal, characteristic, complemented
9#19147042C211yesmaximal, characteristic, complemented
10#19146903C211yesmaximal, characteristic, complemented
11#19146808C211yesmaximal, characteristic, complemented
12#19146689C211yesmaximal, characteristic, complemented
13#19146680C211yesmaximal, characteristic, complemented
14#19146620C211yesmaximal, characteristic, complemented
15#19146569C211yesmaximal, characteristic, complemented
16#19146193C211yesmaximal, characteristic, complemented
17#19146126C211yesmaximal, characteristic, complemented
18#19146118C211yesmaximal, characteristic, complemented
19#19145265C211yesmaximal, characteristic, complemented
20#19145221C211yesmaximal, characteristic, complemented
21#19145197C211yesmaximal, characteristic, complemented
22#19144859C211yesmaximal, characteristic, complemented
23#19144805C211yesmaximal, characteristic, complemented
24#19144800C211yesmaximal, characteristic, complemented
25#19144702C211yesmaximal, characteristic, complemented
26#19144692C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143467C211yesmaximal, characteristic, complemented
29#19143427C211yesmaximal, characteristic, complemented
30C4×#13063352C211yesmaximal, characteristic, complemented
31C43×#3123C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583624C2211yescharacteristic, complemented
37#14583607C2211yescharacteristic, complemented
38#14583606C2211yescharacteristic
39#14583605C2211yescharacteristic, complemented
40#14583600—21no—
41#14583595—21no—
42#14583593C2211yescharacteristic
43#14583591C2211yescharacteristic
44#14583588C2211yescharacteristic
45#14583587—21no—
46#14583587C2211yescharacteristic, complemented
47#14583585—21no—
48#14583581—21no—
49#14583578—21no—
50#14583575—21no—
51#14583554C2211yescharacteristic
52#14583552C2211yescharacteristic, complemented
53#14583551C2211yescharacteristic
54#14583551C2211yescharacteristic, complemented
55#14583544C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583539—21no—
58D4×C22⋊D43C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583507C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic
62#14583497—21no—
63#14583491—21no—
64#14583490—21no—
65#14583487—21no—
66#14583453C2211yescharacteristic, complemented
67#14583432—21no—
68#14583431C2211yescharacteristic
69#14583427C2211yescharacteristic
70#125×D43—21no—
71#14583408—21no—
72C2×#13063307—21no—
73#14583381C2211yescharacteristic, complemented
74#14583379C2211yescharacteristic, complemented
75#14583378C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583300C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic
87#14583257C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583249C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583235C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic
97#14583219C2211yescharacteristic, complemented
98#14583213C2211yescharacteristic
99#14583211C2211yescharacteristic, complemented
100#14583209C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583208C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic
106#14583195C2211yescharacteristic, complemented
107#14583180C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583158C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic
114#14583146C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic
116#14583142C2211yescharacteristic
117#14583142C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583130C2211yescharacteristic
121#14583127C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583115C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583103C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic
129#14583102C2211yescharacteristic
130#14583097C2211yescharacteristic
131#14583093C2211yescharacteristic
132#14583064C2211yescharacteristic, complemented
133#14583063C2211yescharacteristic, complemented
134#14583062C2211yescharacteristic
135#14583058C2211yescharacteristic
136#14583051C2211yescharacteristic
137#14583048C2211yescharacteristic
138#14583047C2211yescharacteristic, complemented
139#14583046C2211yescharacteristic
140#14583043C2211yescharacteristic
141#14583043C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583026C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583008C2211yescharacteristic
148#14583004C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic
153#14583000C2211yescharacteristic
154#14582999C2211yescharacteristic
155#14582999C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158C4×Dic172C2211yescharacteristic, complemented
159C4×#10621885C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582976C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582942C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic, complemented
181#14582899C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic
183#14582893C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic, complemented
189C43×#518C2211yescharacteristic
190C43×#485C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#478C2211yescharacteristic
193C43×#478C2211yescharacteristic, complemented
194C43×#461C2211yescharacteristic
195C43×#461C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic
197C43×#450C2211yescharacteristic
198C43×#440C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C22×C22⋊D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063352—24no—
212#13063351—24no—
213#13063346—24no—
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320D411yescharacteristic
242#13063319—21no—
243#13063319—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063317—21no—
249#13063316—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063313C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310D411yescharacteristic
272#13063309—21no—
273#13063309—21no—
274#13063308—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307D411yescharacteristic
287#13063306—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303D411yescharacteristic
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063301C2311yescharacteristic
305#13063301C2311yescharacteristic
306#13063300—21no—
307#13063300C2311yescharacteristic
308#13063299—21no—
309#13063299—21no—
310#13063299C2311yescharacteristic
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298D411yescharacteristic
316#13063297—21no—
317#13063297—21no—
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063295—21no—
321#13063294—21no—
322#13063294—21no—
323#13063293—21no—
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290C2311yescharacteristic
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
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(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063284—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369C2×C4⋊Dic43—21no—
370C2×C4⋊Dic43C2311yescharacteristic
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C2×C22⋊Dic43—21no—
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
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
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×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×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C22⋊C4×C43—21no—
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
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—22no—
487C2×D4×C43—41no—
488C2×D4×C43C2411yescharacteristic
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⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—82no—
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510#10621902—22no—
511#10621902—22no—
512#10621902—41no—
513#10621902—41no—
514#10621900—22no—
515#10621900—41no—
516D4×D43—22no—
517D4×D43—41no—
518#10621898—22no—
519#10621898—41no—
520#10621898—82no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
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—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—22no—
551SD16×C43—41no—
552SD16×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×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—22no—
595#10621885—41no—
596#10621884—22no—
597#10621884—41no—
598#10621883—22no—
599#10621883—22no—
600#10621882—22no—
601#10621882#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
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
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
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⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682D344—22no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686#10621872—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—81no—
693C23×C43—81no—
694C23×C43C22×D411yescharacteristic
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—42no—
698C22×D43—42no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—42no—
710D4×C43C2×#4112yes—
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—21no—
718C2×C4×C43—21no—
719C2×C4×C43—81no—
720C2×C4×C43—81no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C2511yescharacteristic
729C22⋊D43—41no—
730C22⋊D43—41no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—42no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—21no—
756D172—21no—
757D172—21no—
758D172—41no—
759D172—42no—
760D172—42no—
761D172—81no—
762D172C2×#4112yes—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—41no—
768C4×D43—41no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—41no—
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#61509—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—22no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—162no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—22no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—84no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
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#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314—431no—
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123D4311yescharacteristic, complemented
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—42no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—41no—
885D43—42no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554—431no—
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#541—431no—
916#541C2×D4311yescharacteristic, complemented
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518C2×D4311yescharacteristic
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#499—431no—
938#497—431no—
939#497—431no—
940#492—431no—
941#491—431no—
942#491—431no—
943#490—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485C2×D4311yescharacteristic, complemented
949#485C2×D4311yescharacteristic, complemented
950#484—431no—
951#484—431no—
952#484—431no—
953#484—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478C2×D4311yescharacteristic
966#478C2×D4311yescharacteristic, complemented
967#477—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461C2×D4311yescharacteristic
992#461C2×D4311yescharacteristic, complemented
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#450—431no—
1000#450—431no—
1001#450C2×D4311yescharacteristic
1002#450C2×D4311yescharacteristic
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
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
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16C2×D4311yescharacteristic
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—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#433C2×D4311yescharacteristic, complemented
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C22×D4—431no—
1065C22×D4—861no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
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⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—21no—
1100#126—21no—
1101#126—431no—
1102#126—431no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#125—21no—
1112#125—21no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125C22×D4311yescharacteristic
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#123—431no—
1134#123—431no—
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—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
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⋊Q8—861no—
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
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#121—861no—
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—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—431no—
1236#117—431no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117C22×D4311yescharacteristic
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
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#97—431no—
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—21no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—41no—
1358C2×D4—431no—
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—862no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—3442no—
1376C2×D4—1721no—
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—861no—
1388C22×C4—861no—
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—861no—
1402C22×C4—861no—
1403C22×C4—3442no—
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—22no—
1410SD16—41no—
1411SD16—41no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—434no—
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—21no—
1442C4⋊C4—21no—
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⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4D4×D4311yescharacteristic
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
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—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—81no—
1549C23—81no—
1550C23—431no—
1551C23—431no—
1552C23—861no—
1553C23—861no—
1554C23—3441no—
1555C23—1722no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—42no—
1573D4—432no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—1721no—
1583D4—1722no—
1584D4—1722no—
1585D4—1721no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—1721no—
1631C2×C4—1721no—
1632C2×C4—1722no—
1633C2×C4—1722no—
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—22no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—162no—
1662C22—861no—
1663C22—861no—
1664C22—862no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—3444no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
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—42no—
1703C2—81no—
1704C2—3441no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807811yescharacteristic
1709C2#1914937311yescharacteristic
1710C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3123C2
socleC22×C43C23×D4
hypercenter#3123D43
hypocenterC43#61509
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3123

Complements

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

NH ≅ G/Ntype
1. #19148571C2semidirect
2. #19148523C2semidirect
3. #19147643C2semidirect
4. #19147552C2semidirect
5. #19147380C2semidirect
6. #19147346C2semidirect
7. #19147163C2semidirect
8. #19147073C2semidirect
9. #19147042C2semidirect
10. #19146903C2semidirect
11. #19146808C2semidirect
12. #19146689C2semidirect
13. #19146680C2semidirect
14. #19146620C2semidirect
15. #19146569C2semidirect
16. #19146193C2semidirect
17. #19146126C2semidirect
18. #19146118C2semidirect
19. #19145265C2semidirect
20. #19145221C2semidirect
21. #19145197C2semidirect
22. #19144859C2semidirect
23. #19144805C2semidirect
24. #19144800C2semidirect
25. #19144702C2semidirect
26. #19144692C2semidirect
27. #19143578C2semidirect
28. #19143467C2semidirect
29. #19143427C2semidirect
30. C4×#13063352C2semidirect
31. C43×#3123C2semidirect
36. #14583624C22semidirect
37. #14583607C22semidirect
39. #14583605C22semidirect
46. #14583587C22semidirect
52. #14583552C22semidirect
54. #14583551C22semidirect
60. #14583507C22semidirect
66. #14583453C22semidirect
73. #14583381C22semidirect
74. #14583379C22semidirect
76. C4×#10621902C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583300C22semidirect
81. #14583291C22semidirect
82. #14583290C22semidirect
84. #14583266C22semidirect
85. #14583266C22semidirect
87. #14583257C22semidirect
88. #14583256C22semidirect
89. #14583249C22semidirect
90. #14583242C22semidirect
91. #14583236C22semidirect
92. #14583235C22semidirect
93. #14583233C22semidirect
94. #14583233C22semidirect
95. #14583231C22semidirect
97. #14583219C22semidirect
99. #14583211C22semidirect
100. #14583209C22semidirect
101. #14583208C22semidirect
102. #14583208C22semidirect
103. #14583202C22semidirect
104. #14583198C22semidirect
106. #14583195C22semidirect
107. #14583180C22semidirect
108. #14583178C22semidirect
110. #14583158C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
114. #14583146C22semidirect
117. #14583142C22semidirect
118. #14583138C22semidirect
119. #14583131C22semidirect
121. #14583127C22semidirect
122. #14583122C22semidirect
123. #14583119C22semidirect
124. #14583115C22semidirect
125. #14583113C22semidirect
126. #14583108C22semidirect
127. #14583103C22semidirect
132. #14583064C22semidirect
133. #14583063C22semidirect
138. #14583047C22semidirect
141. #14583043C22semidirect
142. #14583028C22semidirect
143. #14583026C22semidirect
144. #14583010C22semidirect
146. #14583009C22semidirect
148. #14583004C22semidirect
149. #14583002C22semidirect
150. #14583001C22semidirect
151. #14583001C22semidirect
155. #14582999C22semidirect
156. #14582998C22semidirect
157. #14582997C22semidirect
158. C4×Dic172C22semidirect
159. C4×#10621885C22semidirect
160. #14582991C22semidirect
161. C4×#10621884C22semidirect
163. C4×#10621883C22semidirect
164. C4×D344C22semidirect
166. C4×#10621882C22semidirect
168. #14582976C22semidirect
170. #14582973C22semidirect
171. #14582969C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582942C22semidirect
177. #14582938C22semidirect
178. #107×D43C22semidirect
180. #14582899C22semidirect
181. #14582899C22semidirect
183. #14582893C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
188. C43×#541C22semidirect
190. C43×#485C22semidirect
191. C43×#485C22semidirect
193. C43×#478C22semidirect
195. C43×#461C22semidirect
199. C43×#440C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#433C22semidirect
601. #10621882#41semidirect
868. #3123D43semidirect
916. #541C2×D43semidirect
948. #485C2×D43semidirect
949. #485C2×D43semidirect
966. #478C2×D43semidirect
992. #461C2×D43semidirect
1024. #440C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1044. #433C2×D43semidirect
1058. C43#61509semidirect

Maximal subgroups

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

subgroupindex
#191485712
#191485232
#191476432
#191475522
#191473802
#191473462
#191471632
#191470732
#191470422
#191469032
#191468082
#191466892
#191466802
#191466202
#191465692
#191461932
#191461262
#191461182
#191452652
#191452212
#191451972
#191448592
#191448052
#191448002
#191447022
#191446922
#191435782
#191434672
#191434272
C4×#130633522
C43×#31232
#6150943