Finite Group Databasebeta

← #25979456

Subgroups — #25979456

Order 11008.

1836 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#19148546C211yesmaximal, characteristic, complemented
3#19147643C211yesmaximal, characteristic, complemented
4#19147497C211yesmaximal, characteristic, complemented
5#19147258C211yesmaximal, characteristic, complemented
6#19147232C211yesmaximal, characteristic, complemented
7#19147208C211yesmaximal, characteristic, complemented
8#19147107C211yesmaximal, characteristic, complemented
9#19147103C211yesmaximal, characteristic, complemented
10#19146526C211yesmaximal, characteristic, complemented
11#19146521C211yesmaximal, characteristic, complemented
12#19146510C211yesmaximal, characteristic, complemented
13#19146434C211yesmaximal, characteristic, complemented
14#19146427C211yesmaximal, characteristic, complemented
15#19146412C211yesmaximal, characteristic, complemented
16#19146193C211yesmaximal, characteristic, complemented
17#19146126C211yesmaximal, characteristic, complemented
18#19146118C211yesmaximal, characteristic, complemented
19#19145265C211yesmaximal, characteristic, complemented
20#19145261C211yesmaximal, characteristic, complemented
21#19145151C211yesmaximal, characteristic, complemented
22#19144878C211yesmaximal, characteristic, complemented
23#19144874C211yesmaximal, characteristic, complemented
24#19144844C211yesmaximal, characteristic, complemented
25#19144753C211yesmaximal, characteristic, complemented
26#19144744C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143427C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3123C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583624C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic
38#14583614C2211yescharacteristic
39#14583612C2211yescharacteristic
40#14583607C2211yescharacteristic
41#14583605C2211yescharacteristic, complemented
42#14583600—21no—
43#14583591C2211yescharacteristic, complemented
44#14583587—21no—
45#14583587C2211yescharacteristic, complemented
46#14583585—21no—
47#14583581—21no—
48#14583578—21no—
49#14583575—21no—
50D4×Dic86C2211yescharacteristic
51#14583558—21no—
52#14583552C2211yescharacteristic, complemented
53#14583551C2211yescharacteristic
54#14583551C2211yescharacteristic, complemented
55#14583544C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583539—21no—
58D4×C22⋊D43C2211yescharacteristic
59#14583520C2211yescharacteristic
60#14583514C2211yescharacteristic
61#14583507C2211yescharacteristic, complemented
62#14583497—21no—
63#14583490—21no—
64#14583487—21no—
65#14583482—21no—
66#14583453C2211yescharacteristic, complemented
67#14583446C2211yescharacteristic
68#14583432—21no—
69#14583429—21no—
70#14583427C2211yescharacteristic
71#125×D43—21no—
72C2×#13063311—21no—
73#14583381C2211yescharacteristic, complemented
74#14583379C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×#10621900C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic
84#14583256C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583249C2211yescharacteristic, complemented
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic
90#14583243C2211yescharacteristic, complemented
91#14583242C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic, complemented
93#14583238C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic, complemented
96#14583226C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583218C2211yescharacteristic
99#14583216C2211yescharacteristic
100#14583201C2211yescharacteristic
101#14583198C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583190C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic
106#14583185C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic
113#14583144C2211yescharacteristic
114#14583141C2211yescharacteristic, complemented
115#14583138C2211yescharacteristic, complemented
116#14583131C2211yescharacteristic, complemented
117#14583130C2211yescharacteristic
118#14583129C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic
121#14583125C2211yescharacteristic, 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#14583023C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583008C2211yescharacteristic
148#14583007C2211yescharacteristic, complemented
149#14583004C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic
152#14582999C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156C4×#10621873C2211yescharacteristic, complemented
157C4×#10621873C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic
160C4×#10621884C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164#14582981C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
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#14582942C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic, complemented
181#14582893C2211yescharacteristic, complemented
182#14582892C2211yescharacteristic
183C2×#13063246C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, 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×Dic86—21no—
209C22×C22⋊D43—21no—
210C2×D4×D43C2311yescharacteristic
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
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063319—21no—
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315D411yescharacteristic
260#13063313—21no—
261#13063313C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311D411yescharacteristic
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310D411yescharacteristic
278#13063309—21no—
279#13063309—21no—
280#13063308—21no—
281#13063308—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×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290C2311yescharacteristic
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#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43C2311yescharacteristic
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
379C2×C22⋊Dic43—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
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#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
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
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×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—82no—
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)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
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⋊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×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—
686C8×D43—22no—
687C8×D43—41no—
688C8×D43—41no—
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—81no—
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—22no—
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—42no—
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—22no—
768C4×D43—41no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—22no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61493—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—22no—
799C22×C43—21no—
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—22no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
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—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43#57712yes—
846#3515—431no—
847#3514—431no—
848#3400—431no—
849#3384—431no—
850#3361—431no—
851#3359—431no—
852#3356—431no—
853#3348—431no—
854#3348—431no—
855#3303—431no—
856#3303—431no—
857#3302—431no—
858#3296—431no—
859#3296—431no—
860#3295—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3178—431no—
866#3167—431no—
867#3125—431no—
868#3125—431no—
869#3123—431no—
870#3123D4311yescharacteristic, complemented
871#3116—431no—
872#3115—431no—
873#2966—431no—
874#2946—431no—
875#2946—431no—
876C4×#135—431no—
877C2×C43—42no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43C2×#57711yescharacteristic
882C2×C43#358411yescharacteristic
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#556—431no—
893#555—431no—
894#555—431no—
895#554—431no—
896#554—431no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—861no—
901#552—861no—
902#552—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906#548—861no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#541—431no—
917#541C2×D4311yescharacteristic, complemented
918#539—861no—
919#539—861no—
920#538—861no—
921#538—861no—
922#533—431no—
923#532—431no—
924#529—431no—
925#529—861no—
926#529—861no—
927C2×#125—861no—
928C2×#124—861no—
929#520—431no—
930#520—431no—
931#518—431no—
932#518C2×D4311yescharacteristic
933C4×#41—431no—
934C4×#41—431no—
935#501—431no—
936#501—431no—
937#498—431no—
938#497—431no—
939#497—431no—
940#492—431no—
941#488—431no—
942#488—431no—
943#487—431no—
944#487—431no—
945#487—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485C2×D4311yescharacteristic, complemented
952#485C2×D4311yescharacteristic, complemented
953#483—431no—
954#483—431no—
955#482—431no—
956#482—431no—
957#481—431no—
958#481—431no—
959#478—431no—
960#478—431no—
961#478C2×D4311yescharacteristic
962#478C2×D4311yescharacteristic, complemented
963#477—431no—
964#476—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#475—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#468—431no—
974#468—431no—
975#467—431no—
976#467—431no—
977#465—431no—
978#465—431no—
979#465—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—
1008C8×Q8—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440C2×D4311yescharacteristic
1020#440C2×D4311yescharacteristic, complemented
1021C4×Q16—431no—
1022C4×Q16—431no—
1023C4×SD16—431no—
1024C4×SD16—431no—
1025C4×SD16—431no—
1026C4×SD16—431no—
1027C4×SD16—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#435—431no—
1039#435—431no—
1040C8×D4—431no—
1041C8×D4—431no—
1042C8×D4—431no—
1043#433—431no—
1044#433C2×D4311yescharacteristic, complemented
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#416—431no—
1050#416—431no—
1051#416—431no—
1052#416—431no—
1053C2×#102—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C2×C4×C8—431no—
1058C43#6149311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C22×D4C22×D4311yescharacteristic
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—
1089C22×C8—431no—
1090C22×C8—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—431no—
1099C4⋊Q8C22×D4311yescharacteristic
1100#127—431no—
1101#126—21no—
1102#126—21no—
1103#126—431no—
1104#126—431no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#125—21no—
1114#125—21no—
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#125C22×D4311yescharacteristic
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#123—431no—
1140#123—431no—
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×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
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—431no—
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—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117C22×D4311yescharacteristic
1249#117C22×D4311yescharacteristic
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×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
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#97C22×D4311yescharacteristic
1331C4×C8—431no—
1332C4×C8—431no—
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×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—3442no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—41no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4C23×D4311yescharacteristic
1381C2×D4C23×D4311yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
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×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—
1423C2×C8—431no—
1424C2×C8—431no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—862no—
1428C2×C8—1721no—
1429C2×C8—1721no—
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⋊C4D4×D4311yescharacteristic
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4D4×D4311yescharacteristic
1526C22⋊C4D4×D4311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—861no—
1535C42—861no—
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—3441no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—862no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—42no—
1575D4—432no—
1576D4—862no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—1721no—
1586D4—1722no—
1587D4—1722no—
1588D4—1722no—
1589D4—1721no—
1590D4—1722no—
1591D4—1722no—
1592D4—1722no—
1593D4#41×D4312yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—862no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
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—21no—
1654C22—22no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—162no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—862no—
1667C22—861no—
1668C22—861no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
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—432no—
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#577×D4311yescharacteristic
1710C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3123C2
socleC22×C43C23×D4
hypercenter#3123D43
hypocenterC43#61493
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. #19148546C2semidirect
3. #19147643C2semidirect
4. #19147497C2semidirect
5. #19147258C2semidirect
6. #19147232C2semidirect
7. #19147208C2semidirect
8. #19147107C2semidirect
9. #19147103C2semidirect
10. #19146526C2semidirect
11. #19146521C2semidirect
12. #19146510C2semidirect
13. #19146434C2semidirect
14. #19146427C2semidirect
15. #19146412C2semidirect
16. #19146193C2semidirect
17. #19146126C2semidirect
18. #19146118C2semidirect
19. #19145265C2semidirect
20. #19145261C2semidirect
21. #19145151C2semidirect
22. #19144878C2semidirect
23. #19144874C2semidirect
24. #19144844C2semidirect
25. #19144753C2semidirect
26. #19144744C2semidirect
27. #19143568C2semidirect
28. #19143427C2semidirect
29. #19143426C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3123C2semidirect
36. #14583624C22semidirect
41. #14583605C22semidirect
43. #14583591C22semidirect
45. #14583587C22semidirect
52. #14583552C22semidirect
54. #14583551C22semidirect
61. #14583507C22semidirect
66. #14583453C22semidirect
73. #14583381C22semidirect
74. #14583379C22semidirect
76. C4×#10621902C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583296C22semidirect
81. #14583291C22semidirect
82. #14583290C22semidirect
84. #14583256C22semidirect
85. #14583252C22semidirect
86. #14583249C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
90. #14583243C22semidirect
91. #14583242C22semidirect
92. #14583238C22semidirect
93. #14583238C22semidirect
94. #14583231C22semidirect
95. #14583230C22semidirect
96. #14583226C22semidirect
97. #14583222C22semidirect
101. #14583198C22semidirect
102. #14583193C22semidirect
103. #14583190C22semidirect
104. #14583188C22semidirect
106. #14583185C22semidirect
107. #14583182C22semidirect
108. #14583182C22semidirect
109. #14583178C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
114. #14583141C22semidirect
115. #14583138C22semidirect
116. #14583131C22semidirect
118. #14583129C22semidirect
119. #14583127C22semidirect
121. #14583125C22semidirect
122. #14583122C22semidirect
123. #14583119C22semidirect
124. #14583115C22semidirect
125. #14583113C22semidirect
126. #14583108C22semidirect
127. #14583103C22semidirect
132. #14583064C22semidirect
133. #14583063C22semidirect
138. #14583047C22semidirect
141. #14583043C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
144. #14583012C22semidirect
146. #14583009C22semidirect
148. #14583007C22semidirect
149. #14583004C22semidirect
150. #14583002C22semidirect
152. #14582999C22semidirect
153. #14582997C22semidirect
154. C4×#10621885C22semidirect
155. #14582991C22semidirect
156. C4×#10621873C22semidirect
157. C4×#10621873C22semidirect
160. C4×#10621884C22semidirect
161. #14582986C22semidirect
163. C4×#10621883C22semidirect
164. #14582981C22semidirect
166. C4×#10621882C22semidirect
169. #14582973C22semidirect
170. #14582969C22semidirect
171. #14582964C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582942C22semidirect
177. #14582940C22semidirect
178. #14582934C22semidirect
179. #14582894C22semidirect
180. #14582894C22semidirect
181. #14582893C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×C8×D43C22semidirect
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
870. #3123D43semidirect
917. #541C2×D43semidirect
951. #485C2×D43semidirect
952. #485C2×D43semidirect
962. #478C2×D43semidirect
992. #461C2×D43semidirect
1020. #440C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1044. #433C2×D43semidirect
1058. C43#61493semidirect

Maximal subgroups

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

subgroupindex
#191485712
#191485462
#191476432
#191474972
#191472582
#191472322
#191472082
#191471072
#191471032
#191465262
#191465212
#191465102
#191464342
#191464272
#191464122
#191461932
#191461262
#191461182
#191452652
#191452612
#191451512
#191448782
#191448742
#191448442
#191447532
#191447442
#191435682
#191434272
#191434262
C4×#130633462
C43×#31232
#6149343