Finite Group Databasebeta

← #25979692

Subgroups — #25979692

Order 11008.

1830 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148604C211yesmaximal, characteristic, complemented
2#19148535C211yesmaximal, characteristic, complemented
3#19147668C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147415C211yesmaximal, characteristic, complemented
6#19147412C211yesmaximal, characteristic, complemented
7#19147172C211yesmaximal, characteristic, complemented
8#19147118C211yesmaximal, characteristic, complemented
9#19147102C211yesmaximal, characteristic, complemented
10#19146866C211yesmaximal, characteristic, complemented
11#19146819C211yesmaximal, characteristic, complemented
12#19146773C211yesmaximal, characteristic, complemented
13#19146748C211yesmaximal, characteristic, complemented
14#19146624C211yesmaximal, characteristic, complemented
15#19146589C211yesmaximal, characteristic, complemented
16#19146230C211yesmaximal, characteristic, complemented
17#19146111C211yesmaximal, characteristic, complemented
18#19146088C211yesmaximal, characteristic, complemented
19#19145276C211yesmaximal, characteristic, complemented
20#19145232C211yesmaximal, characteristic, complemented
21#19145195C211yesmaximal, characteristic, complemented
22#19144885C211yesmaximal, characteristic, complemented
23#19144861C211yesmaximal, characteristic, complemented
24#19144822C211yesmaximal, characteristic, complemented
25#19144783C211yesmaximal, characteristic, complemented
26#19144706C211yesmaximal, characteristic, complemented
27#19143575C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic, complemented
29#19143435C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3110C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583629C2211yescharacteristic, complemented
37#14583623C2211yescharacteristic, complemented
38#14583621—21no—
39#14583621—21no—
40#14583620C2211yescharacteristic
41#14583620C2211yescharacteristic, complemented
42#14583617—21no—
43#14583615C2211yescharacteristic, complemented
44#14583612—21no—
45#14583608C2211yescharacteristic
46#14583599C2211yescharacteristic
47#14583598—21no—
48#14583584C2211yescharacteristic
49#14583578—21no—
50#14583575—21no—
51#14583564C2211yescharacteristic, complemented
52#14583559C2211yescharacteristic
53#14583559C2211yescharacteristic, complemented
54#14583550C2211yescharacteristic
55#14583544C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583539—21no—
58D4×C22⋊D43C2211yescharacteristic
59#14583521C2211yescharacteristic, complemented
60#14583521C2211yescharacteristic, complemented
61#14583519—21no—
62#14583519—21no—
63#14583514C2211yescharacteristic
64#14583500C2211yescharacteristic
65#14583491—21no—
66#14583482—21no—
67#14583455—21no—
68#14583434—21no—
69#14583433C2211yescharacteristic
70#14583433C2211yescharacteristic
71#14583410—21no—
72C2×#13063308—21no—
73#14583378C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic
77C4×#10621898C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583267C2211yescharacteristic, complemented
85#14583261C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583255C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic
90#14583242C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583221C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583208C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583193C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic
107#14583182C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583155C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583147C2211yescharacteristic
115#14583147C2211yescharacteristic
116#14583146C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic
118#14583139C2211yescharacteristic, complemented
119#14583136C2211yescharacteristic, complemented
120#14583134C2211yescharacteristic
121#14583125C2211yescharacteristic, complemented
122#14583124C2211yescharacteristic, complemented
123#14583122C2211yescharacteristic, complemented
124#14583120C2211yescharacteristic, complemented
125#14583119C2211yescharacteristic, complemented
126#14583117C2211yescharacteristic, complemented
127#14583116C2211yescharacteristic
128#14583116C2211yescharacteristic
129#14583115C2211yescharacteristic, complemented
130#14583098C2211yescharacteristic
131#14583097C2211yescharacteristic
132#14583063C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583056C2211yescharacteristic, complemented
135#14583048C2211yescharacteristic
136#14583046C2211yescharacteristic
137#14583045C2211yescharacteristic
138#14583039C2211yescharacteristic, complemented
139#14583036C2211yescharacteristic
140#14583036C2211yescharacteristic, complemented
141#14583034C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583028C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583007C2211yescharacteristic, complemented
148#14583003C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic
152#14582999C2211yescharacteristic
153#14582999C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic
156#14582993C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic
161C4×#10621884C2211yescharacteristic, complemented
162C4×#10621884C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic
164C4×#10621883C2211yescharacteristic, complemented
165#14582984C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic
167C4×#10621882C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582961C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582939C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582904C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582898C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C4×#10621877C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C2×C4×D4×C43C2211yescharacteristic
190C43×#484C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#474C2211yescharacteristic
193C43×#474C2211yescharacteristic, complemented
194C43×#461C2211yescharacteristic
195C43×#461C2211yescharacteristic, complemented
196C43×#450C2211yescharacteristic
197C43×#450C2211yescharacteristic
198C43×#440C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C22×C22⋊D43—21no—
209C2×D4×D43C2311yescharacteristic
210#13063354—24no—
211#13063351—24no—
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221SD16×D43—24no—
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323—21no—
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319D411yescharacteristic
248#13063319D411yescharacteristic
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063317D411yescharacteristic
254#13063317C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063314—21no—
258#13063314—21no—
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063313—21no—
263#13063313D411yescharacteristic
264#13063313C2311yescharacteristic
265#13063312C2311yescharacteristic
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063308—21no—
277#13063308—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308—21no—
282#13063308—21no—
283#13063308D411yescharacteristic
284#13063308D411yescharacteristic
285#13063307—21no—
286#13063307—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304—21no—
292#13063304D411yescharacteristic
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063302—21no—
302#13063302—21no—
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299—21no—
311#13063299D411yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063297—21no—
318#13063297—21no—
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063294—21no—
323#13063294—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347#13063287—21no—
348#13063287—21no—
349#13063287—21no—
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43C2311yescharacteristic
359C4×C22⋊D43C2311yescharacteristic
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282C2311yescharacteristic
376#13063282C2311yescharacteristic
377#13063281—21no—
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43C2311yescharacteristic
381C2×C22⋊Dic43—21no—
382C2×(C2×D43)⋊C4—21no—
383C2×(C2×D43)⋊C4—21no—
384C22⋊C4×D43—21no—
385C42×D43—21no—
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C23×C4×C43—21no—
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#125×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450C4×Q8×C43—21no—
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×C43—21no—
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—22no—
488C2×D4×C43—41no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—82no—
497C22×C4×C43C2×D411yescharacteristic
498C22×C4×C43C2×D411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—82no—
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514Q8×D43—22no—
515Q8×D43—22no—
516Q8×D43—41no—
517Q8×D43—41no—
518#10621900—22no—
519#10621900—41no—
520D4×D43—22no—
521D4×D43—41no—
522#10621898—22no—
523#10621898—41no—
524#10621898—82no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172C2×D411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
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×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
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×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43C2×D411yescharacteristic
578C42×C43C2×D411yescharacteristic
579C42×C43C2411yescharacteristic
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621885—22no—
592#10621885—41no—
593#10621884—22no—
594#10621884—41no—
595#10621883—22no—
596#10621883#4114yescomplemented
597#10621882—22no—
598#10621882—22no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661C4×Dic43—21no—
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×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676#10621877—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—22no—
682D344—41no—
683#10621873—22no—
684#10621873—41no—
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—42no—
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—
706Q8×C43—81no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—42no—
711D4×C43C2×#4112yes—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—41no—
721C2×C4×C43—41no—
722C2×C4×C43—42no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—41no—
734C22⋊D43—41no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—42no—
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—21no—
760D172—21no—
761D172—21no—
762D172—41no—
763D172—81no—
764D172—81no—
765D172—81no—
766C4×D43—21no—
767C4×D43—21no—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—41no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—22no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—84no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—41no—
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—22no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110D4311yescharacteristic, complemented
873#2967—431no—
874#2949—431no—
875#2947—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—81no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#542—861no—
919#540—431no—
920#539—861no—
921#538—861no—
922#533—861no—
923#533C2×D4311yescharacteristic, complemented
924#529—431no—
925#529—431no—
926#529—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4C2×D4311yescharacteristic
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484C2×D4311yescharacteristic, complemented
952#484C2×D4311yescharacteristic, complemented
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474C2×D4311yescharacteristic
970#474C2×D4311yescharacteristic, complemented
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461C2×D4311yescharacteristic
992#461C2×D4311yescharacteristic, complemented
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450C2×D4311yescharacteristic
1000#450C2×D4311yescharacteristic
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—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#440C2×D4311yescharacteristic
1022#440C2×D4311yescharacteristic
1023#440C2×D4311yescharacteristic, complemented
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432C2×D4311yescharacteristic, complemented
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—431no—
1065C22×D4—861no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—21no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—864no—
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—861no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8C22×D4311yescharacteristic
1101C4⋊Q8C22×D4311yescharacteristic
1102#127—431no—
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#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#125—21no—
1118#125—431no—
1119#125—431no—
1120#125—431no—
1121#125—861no—
1122#124—431no—
1123#124—431no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#123—431no—
1138#123—431no—
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—
1153C22⋊Q8—21no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—431no—
1174#121—431no—
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—21no—
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—431no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—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
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—431no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117—861no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—861no—
1266C2×C42C22×D4311yescharacteristic
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—21no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—861no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—862no—
1355C2×Q8—1721no—
1356C2×Q8—1721no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—3442no—
1380C2×D4—1721no—
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—82no—
1389C22×C4—431no—
1390C22×C4—431no—
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×C4D4×D4311yescharacteristic
1403C22×C4D4×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—22no—
1410SD16—41no—
1411SD16—41no—
1412SD16—434no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
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—431no—
1456C4⋊C4—431no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C42—21no—
1526C42—21no—
1527C42—431no—
1528C42—431no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42D4×D4311yescharacteristic
1542C42D4×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
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—81no—
1563Q8—432no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
1580D4—861no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—1721no—
1589D4—1721no—
1590D4—1721no—
1591D4—1722no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4#41×D4312yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—42no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
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—84no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—1721no—
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—861no—
1688C4—861no—
1689C4—862no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—3441no—
1705C2—3441no—
1706C2—1721no—
1707C2—1721no—
1708C2#1914807811yescharacteristic
1709C2#1914937111yescharacteristic
1710C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3110C2
socleC22×C43C23×D4
hypercenter#3110D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3110

Complements

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

NH ≅ G/Ntype
1. #19148604C2semidirect
2. #19148535C2semidirect
3. #19147668C2semidirect
4. #19147500C2semidirect
5. #19147415C2semidirect
6. #19147412C2semidirect
7. #19147172C2semidirect
8. #19147118C2semidirect
9. #19147102C2semidirect
10. #19146866C2semidirect
11. #19146819C2semidirect
12. #19146773C2semidirect
13. #19146748C2semidirect
14. #19146624C2semidirect
15. #19146589C2semidirect
16. #19146230C2semidirect
17. #19146111C2semidirect
18. #19146088C2semidirect
19. #19145276C2semidirect
20. #19145232C2semidirect
21. #19145195C2semidirect
22. #19144885C2semidirect
23. #19144861C2semidirect
24. #19144822C2semidirect
25. #19144783C2semidirect
26. #19144706C2semidirect
27. #19143575C2semidirect
28. #19143451C2semidirect
29. #19143435C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3110C2semidirect
36. #14583629C22semidirect
37. #14583623C22semidirect
41. #14583620C22semidirect
43. #14583615C22semidirect
51. #14583564C22semidirect
53. #14583559C22semidirect
59. #14583521C22semidirect
60. #14583521C22semidirect
74. #14583375C22semidirect
75. #14583375C22semidirect
77. C4×#10621898C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583291C22semidirect
83. #14583280C22semidirect
84. #14583267C22semidirect
85. #14583261C22semidirect
86. #14583260C22semidirect
87. #14583257C22semidirect
88. #14583255C22semidirect
90. #14583242C22semidirect
91. #14583241C22semidirect
92. #14583238C22semidirect
93. #14583233C22semidirect
94. #14583226C22semidirect
95. #14583226C22semidirect
98. #14583221C22semidirect
99. #14583214C22semidirect
100. #14583208C22semidirect
101. #14583207C22semidirect
102. #14583205C22semidirect
103. #14583200C22semidirect
104. #14583193C22semidirect
105. #14583193C22semidirect
107. #14583182C22semidirect
108. #14583178C22semidirect
110. #14583155C22semidirect
111. #14583155C22semidirect
112. #14583151C22semidirect
113. #14583148C22semidirect
116. #14583146C22semidirect
118. #14583139C22semidirect
119. #14583136C22semidirect
121. #14583125C22semidirect
122. #14583124C22semidirect
123. #14583122C22semidirect
124. #14583120C22semidirect
125. #14583119C22semidirect
126. #14583117C22semidirect
129. #14583115C22semidirect
132. #14583063C22semidirect
134. #14583056C22semidirect
138. #14583039C22semidirect
140. #14583036C22semidirect
142. #14583028C22semidirect
143. #14583028C22semidirect
144. #14583012C22semidirect
146. #14583009C22semidirect
147. #14583007C22semidirect
148. #14583003C22semidirect
149. #14583001C22semidirect
150. #14583001C22semidirect
153. #14582999C22semidirect
154. #14582998C22semidirect
156. #14582993C22semidirect
157. C4×#10621885C22semidirect
158. C4×#10621885C22semidirect
161. C4×#10621884C22semidirect
162. C4×#10621884C22semidirect
164. C4×#10621883C22semidirect
165. #14582984C22semidirect
167. C4×#10621882C22semidirect
169. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582969C22semidirect
173. #14582969C22semidirect
174. #14582961C22semidirect
175. #14582961C22semidirect
176. #14582940C22semidirect
177. #14582939C22semidirect
178. #14582936C22semidirect
179. #14582906C22semidirect
182. #14582898C22semidirect
184. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582856C22semidirect
187. C4×#10621877C22semidirect
188. C43×#533C22semidirect
190. C43×#484C22semidirect
191. C43×#484C22semidirect
193. C43×#474C22semidirect
195. C43×#461C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C43×#432C22semidirect
596. #10621883#41semidirect
872. #3110D43semidirect
923. #533C2×D43semidirect
951. #484C2×D43semidirect
952. #484C2×D43semidirect
970. #474C2×D43semidirect
992. #461C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1045. #432C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486042
#191485352
#191476682
#191475002
#191474152
#191474122
#191471722
#191471182
#191471022
#191468662
#191468192
#191467732
#191467482
#191466242
#191465892
#191462302
#191461112
#191460882
#191452762
#191452322
#191451952
#191448852
#191448612
#191448222
#191447832
#191447062
#191435752
#191434512
#191434352
C4×#130633512
C43×#31102
#6150343