Finite Group Databasebeta

← #25979837

Subgroups — #25979837

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148698C211yesmaximal, characteristic, complemented
2#19148642C211yesmaximal, characteristic, complemented
3#19147656C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147443C211yesmaximal, characteristic, complemented
6#19147392C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147060C211yesmaximal, characteristic, complemented
9#19147049C211yesmaximal, characteristic, complemented
10#19146932C211yesmaximal, characteristic, complemented
11#19146810C211yesmaximal, characteristic, complemented
12#19146757C211yesmaximal, characteristic, complemented
13#19146712C211yesmaximal, characteristic, complemented
14#19146592C211yesmaximal, characteristic, complemented
15#19146577C211yesmaximal, characteristic, complemented
16#19146233C211yesmaximal, characteristic, complemented
17#19146157C211yesmaximal, characteristic, complemented
18#19146134C211yesmaximal, characteristic, complemented
19#19145230C211yesmaximal, characteristic, complemented
20#19145197C211yesmaximal, characteristic, complemented
21#19144876C211yesmaximal, characteristic, complemented
22#19144855C211yesmaximal, characteristic, complemented
23#19144818C211yesmaximal, characteristic, complemented
24#19144788C211yesmaximal, characteristic, complemented
25#19144753C211yesmaximal, characteristic, complemented
26#19144731C211yesmaximal, characteristic, complemented
27#19143576C211yesmaximal, characteristic, complemented
28#19143473C211yesmaximal, characteristic, complemented
29#19143440C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583633—21no—
37#14583626C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583613—21no—
40#14583613C2211yescharacteristic
41#14583610C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583596C2211yescharacteristic, complemented
44#14583592—21no—
45#14583587C2211yescharacteristic
46#14583586—21no—
47#14583585—21no—
48#14583579—21no—
49#14583574—21no—
50#14583569C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583557—21no—
53#14583555C2211yescharacteristic
54#14583555C2211yescharacteristic, complemented
55#14583551C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583517—21no—
60#14583514C2211yescharacteristic
61#14583514C2211yescharacteristic, complemented
62#14583499—21no—
63#14583495—21no—
64#14583492—21no—
65#14583453C2211yescharacteristic
66#14583431C2211yescharacteristic
67#14583430—21no—
68#14583427C2211yescharacteristic
69#14583426—21no—
70#14583407—21no—
71C22⋊Q8×D43—21no—
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic, complemented
75#14583376C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583290C2211yescharacteristic, complemented
81#14583282C2211yescharacteristic
82#14583266C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic
84#14583257C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic
87#14583238C2211yescharacteristic
88#14583237C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583231C2211yescharacteristic
91#14583231C2211yescharacteristic, complemented
92#14583220C2211yescharacteristic
93#14583216C2211yescharacteristic
94#14583215C2211yescharacteristic, complemented
95#14583211C2211yescharacteristic
96#14583211C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583203C2211yescharacteristic, complemented
99#14583198C2211yescharacteristic
100#14583197C2211yescharacteristic
101#14583196C2211yescharacteristic
102#14583193C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583191C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583181C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic
110#14583158C2211yescharacteristic
111#14583156C2211yescharacteristic
112#14583144C2211yescharacteristic
113#14583144C2211yescharacteristic
114#14583144C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic
116#14583141C2211yescharacteristic, complemented
117#14583132C2211yescharacteristic
118#14583120C2211yescharacteristic
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic
122#14583113C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583108C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic, complemented
129#14583091C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583054C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583042C2211yescharacteristic
138#14583042C2211yescharacteristic
139#14583041C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583029C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583007C2211yescharacteristic, complemented
149#14583007C2211yescharacteristic, complemented
150#14583004C2211yescharacteristic, complemented
151#14583003C2211yescharacteristic, complemented
152#14583001C2211yescharacteristic
153#14583001C2211yescharacteristic
154#14582999C2211yescharacteristic
155#14582999C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic
158C4×Dic172C2211yescharacteristic, complemented
159C4×Dic172C2211yescharacteristic, complemented
160C4×#10621885C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162C4×#10621873C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166C4×#10621883C2211yescharacteristic, complemented
167C4×#10621882C2211yescharacteristic
168#14582978C2211yescharacteristic
169#14582975C2211yescharacteristic
170#14582972C2211yescharacteristic
171#14582970C2211yescharacteristic
172#14582970C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic
179#106×D43C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic
185C2×#13063250C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#540C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C22×Dic86C2311yescharacteristic
209C2×Q8×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063358—24no—
213#13063349—24no—
214#13063346—24no—
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063321—21no—
237#13063320—21no—
238#13063320D411yescharacteristic
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318D411yescharacteristic
246#13063316—21no—
247#13063316—21no—
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315D411yescharacteristic
254#13063312—21no—
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063312C2311yescharacteristic
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311D411yescharacteristic
265#13063310—21no—
266#13063310—21no—
267#13063310D411yescharacteristic
268#13063308—21no—
269#13063308—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307D411yescharacteristic
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063305—21no—
281#13063305C2311yescharacteristic
282#13063305C2311yescharacteristic
283#13063305C2311yescharacteristic
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303D411yescharacteristic
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301C2311yescharacteristic
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063293—21no—
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284—21no—
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43C2311yescharacteristic
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451#123×C43—21no—
452#123×C43—21no—
453C22⋊Q8×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43—21no—
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512#10621902—22no—
513#10621902—41no—
514Q8×D43—82no—
515#10621900—22no—
516#10621900—22no—
517#10621900—41no—
518#10621900—41no—
519#10621900—82no—
520D4×D43—22no—
521D4×D43—41no—
522#10621898—22no—
523#10621898—41no—
524C2×D172—21no—
525C2×D172C2×D411yescharacteristic
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—82no—
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—22no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—41no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551SD16×C43—22no—
552SD16×C43—41no—
553D8×C43—22no—
554D8×C43—41no—
555M16×C43—22no—
556C2×C8×C43—41no—
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C42×C43—21no—
584C42×C43C2411yescharacteristic
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43C2×D411yescharacteristic
600C22⋊Dic43C2×D411yescharacteristic
601#10621885—22no—
602#10621885—41no—
603#10621883—22no—
604#10621883—41no—
605#10621883—41no—
606#10621883—41no—
607#10621882—22no—
608#10621882—22no—
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
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662C4×Dic43—21no—
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×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682Dic172—22no—
683#10621873—22no—
684#10621873#4114yescomplemented
685#10621872—22no—
686#10621872—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—81no—
709D4×C43—81no—
710D4×C43—81no—
711D4×C43—81no—
712D4×C43—81no—
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—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—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—42no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—42no—
749C2×Dic43—81no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758D172—21no—
759D172—41no—
760D172—42no—
761D172C2×#4112yes—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—41no—
767C4×D43—41no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
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—21no—
782Dic86—41no—
783Dic86—42no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61508—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×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—22no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43C22×#4111yescharacteristic
831C4×C43#58511yescharacteristic
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—22no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179D4311yescharacteristic, complemented
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—81no—
878C2×C43—81no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—41no—
885D43—42no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556—431no—
893#555—431no—
894#555—861no—
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—431no—
908#548—861no—
909#547—431no—
910#547—431no—
911#546—431no—
912#546—431no—
913#542—431no—
914#542—431no—
915#542—861no—
916#542C2×D4311yescharacteristic
917#540—861no—
918#540C2×D4311yescharacteristic, complemented
919#539—861no—
920#539—861no—
921#533—431no—
922#529—431no—
923#529—431no—
924#529—861no—
925#529—861no—
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520—431no—
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501C2×D4311yescharacteristic, complemented
936#500—431no—
937#497—431no—
938#496C2×D4311yescharacteristic
939#495—431no—
940#491—431no—
941#489—431no—
942#489—431no—
943#489—431no—
944#488C2×D4311yescharacteristic
945#486C2×D4311yescharacteristic, complemented
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470—431no—
971#470—431no—
972#469C2×D4311yescharacteristic
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic, complemented
978#467—431no—
979#466—431no—
980#466C2×D4311yescharacteristic
981#465C2×D4311yescharacteristic, complemented
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448—431no—
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442C2×D4311yescharacteristic
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440C2×D4311yescharacteristic, complemented
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16C2×D4311yescharacteristic, complemented
1034C4×D8—431no—
1035C4×D8C2×D4311yescharacteristic
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405C2×D4311yescharacteristic, complemented
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
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×D8—431no—
1083C2×D8—431no—
1084C2×D8C22×D4311yescharacteristic
1085C2×D8C22×D4311yescharacteristic
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C22×C8—431no—
1091C22×C8C22×D4311yescharacteristic
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—861no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—861no—
1099#127C22×D4311yescharacteristic
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#125—431no—
1111#125—431no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125C22×D4311yescharacteristic
1119#124—21no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—431no—
1136#123—431no—
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—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1172#121—21no—
1173#121—21no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
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#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#120—861no—
1191#120—861no—
1192C4×Q8—431no—
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—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8C22×D4311yescharacteristic
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×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—431no—
1239#117—431no—
1240#117—431no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288#103—431no—
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#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
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#102—431no—
1313#102—431no—
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97C22×D4311yescharacteristic
1331#97C22×D4311yescharacteristic
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8C22×D4311yescharacteristic
1335C4×C8C22×D4311yescharacteristic
1336C24—861no—
1337#41—862no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—862no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8—1721no—
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—862no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—1721no—
1378C2×D4C23×D4311yescharacteristic
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
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—861no—
1404C22×C4—3442no—
1405C22×C4C23×D4311yescharacteristic
1406Q16—862no—
1407Q16—862no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—22no—
1411SD16—41no—
1412SD16—434no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—41no—
1420D8—862no—
1421D8—862no—
1422M16—22no—
1423M16—862no—
1424M16—1721no—
1425M16—1721no—
1426C2×C8—41no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—862no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
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—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⋊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⋊C4D4×D4311yescharacteristic
1479C4⋊C4D4×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—431no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—431no—
1548C23—431no—
1549C23—861no—
1550C23—3441no—
1551C23—1722no—
1552C23—1722no—
1553C23C2×D4×D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—81no—
1557Q8—432no—
1558Q8—861no—
1559Q8—861no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—1721no—
1566Q8—1722no—
1567Q8—1722no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—432no—
1580D4—861no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1721no—
1585D4—1722no—
1586D4—1721no—
1587D4—1721no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—431no—
1603C2×C4—431no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—861no—
1609C2×C4—861no—
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—3441no—
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—1721no—
1629C2×C4—1721no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8#41×D4312yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—861no—
1664C22—861no—
1665C22—862no—
1666C22—861no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—3444no—
1671C22—1721no—
1672C22—1721no—
1673C22C22×D4×D4311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—861no—
1685C4—861no—
1686C4—862no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—81no—
1701C2—81no—
1702C2—81no—
1703C2—1721no—
1704C2—1721no—
1705C2—1722no—
1706C2#1914808111yescharacteristic
1707C2#1914937011yescharacteristic
1708C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148698C2semidirect
2. #19148642C2semidirect
3. #19147656C2semidirect
4. #19147513C2semidirect
5. #19147443C2semidirect
6. #19147392C2semidirect
7. #19147216C2semidirect
8. #19147060C2semidirect
9. #19147049C2semidirect
10. #19146932C2semidirect
11. #19146810C2semidirect
12. #19146757C2semidirect
13. #19146712C2semidirect
14. #19146592C2semidirect
15. #19146577C2semidirect
16. #19146233C2semidirect
17. #19146157C2semidirect
18. #19146134C2semidirect
19. #19145230C2semidirect
20. #19145197C2semidirect
21. #19144876C2semidirect
22. #19144855C2semidirect
23. #19144818C2semidirect
24. #19144788C2semidirect
25. #19144753C2semidirect
26. #19144731C2semidirect
27. #19143576C2semidirect
28. #19143473C2semidirect
29. #19143440C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3179C2semidirect
35. #14583635C22semidirect
37. #14583626C22semidirect
43. #14583596C22semidirect
54. #14583555C22semidirect
61. #14583514C22semidirect
74. #14583378C22semidirect
75. #14583376C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583290C22semidirect
82. #14583266C22semidirect
84. #14583257C22semidirect
85. #14583257C22semidirect
88. #14583237C22semidirect
89. #14583236C22semidirect
91. #14583231C22semidirect
94. #14583215C22semidirect
96. #14583211C22semidirect
97. #14583210C22semidirect
98. #14583203C22semidirect
102. #14583193C22semidirect
103. #14583192C22semidirect
104. #14583191C22semidirect
105. #14583187C22semidirect
106. #14583187C22semidirect
107. #14583183C22semidirect
108. #14583181C22semidirect
114. #14583144C22semidirect
116. #14583141C22semidirect
119. #14583119C22semidirect
126. #14583108C22semidirect
127. #14583102C22semidirect
128. #14583096C22semidirect
132. #14583062C22semidirect
134. #14583054C22semidirect
142. #14583029C22semidirect
143. #14583027C22semidirect
148. #14583007C22semidirect
149. #14583007C22semidirect
150. #14583004C22semidirect
151. #14583003C22semidirect
155. #14582999C22semidirect
158. C4×Dic172C22semidirect
159. C4×Dic172C22semidirect
160. C4×#10621885C22semidirect
163. SD16×Dic43C22semidirect
166. C4×#10621883C22semidirect
172. #14582970C22semidirect
173. #14582968C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
177. #14582941C22semidirect
179. #106×D43C22semidirect
183. #14582897C22semidirect
185. C2×#13063250C22semidirect
186. #14582853C22semidirect
189. C43×#540C22semidirect
190. C43×#501C22semidirect
193. C43×#486C22semidirect
195. C43×#468C22semidirect
197. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
202. C43×#405C22semidirect
684. #10621873#41semidirect
863. #3179D43semidirect
918. #540C2×D43semidirect
935. #501C2×D43semidirect
945. #486C2×D43semidirect
977. #468C2×D43semidirect
981. #465C2×D43semidirect
1023. #440C2×D43semidirect
1033. C4×SD16C2×D43semidirect
1055. #405C2×D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191486982
#191486422
#191476562
#191475132
#191474432
#191473922
#191472162
#191470602
#191470492
#191469322
#191468102
#191467572
#191467122
#191465922
#191465772
#191462332
#191461572
#191461342
#191452302
#191451972
#191448762
#191448552
#191448182
#191447882
#191447532
#191447312
#191435762
#191434732
#191434402
C4×#130633492
C43×#31792
#6150843