Finite Group Databasebeta

← #25979613

Subgroups — #25979613

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148702C211yesmaximal, characteristic, complemented
2#19148669C211yesmaximal, characteristic, complemented
3#19147660C211yesmaximal, characteristic, complemented
4#19147535C211yesmaximal, characteristic, complemented
5#19147285C211yesmaximal, characteristic, complemented
6#19147252C211yesmaximal, characteristic, complemented
7#19147150C211yesmaximal, characteristic, complemented
8#19147120C211yesmaximal, characteristic, complemented
9#19147094C211yesmaximal, characteristic, complemented
10#19146529C211yesmaximal, characteristic, complemented
11#19146522C211yesmaximal, characteristic, complemented
12#19146496C211yesmaximal, characteristic, complemented
13#19146477C211yesmaximal, characteristic, complemented
14#19146451C211yesmaximal, characteristic, complemented
15#19146436C211yesmaximal, characteristic, complemented
16#19146223C211yesmaximal, characteristic, complemented
17#19146149C211yesmaximal, characteristic, complemented
18#19146142C211yesmaximal, characteristic, complemented
19#19145274C211yesmaximal, characteristic, complemented
20#19145168C211yesmaximal, characteristic, complemented
21#19144828C211yesmaximal, characteristic, complemented
22#19144803C211yesmaximal, characteristic, complemented
23#19144792C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144710C211yesmaximal, characteristic, complemented
26#19144708C211yesmaximal, characteristic, complemented
27#19143566C211yesmaximal, characteristic, complemented
28#19143433C211yesmaximal, characteristic, complemented
29#19143429C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3178C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583631—21no—
36#14583631C2211yescharacteristic, complemented
37#14583624C2211yescharacteristic, complemented
38#14583623C2211yescharacteristic
39#14583620C2211yescharacteristic
40#14583615C2211yescharacteristic, complemented
41#14583611—21no—
42#14583605C2211yescharacteristic
43#14583602—21no—
44#14583602C2211yescharacteristic
45#14583601C2211yescharacteristic
46#14583600—21no—
47#14583591C2211yescharacteristic
48#14583585—21no—
49#14583583C2211yescharacteristic
50#14583581—21no—
51#14583574—21no—
52#14583574—21no—
53#14583567C2211yescharacteristic
54#14583559C2211yescharacteristic
55#14583557C2211yescharacteristic, complemented
56#14583552C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583540C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583519—21no—
61#14583501—21no—
62#14583500C2211yescharacteristic, complemented
63#14583497—21no—
64#14583488—21no—
65#14583436C2211yescharacteristic
66#14583436C2211yescharacteristic, complemented
67#14583435—21no—
68#14583434—21no—
69#14583427C2211yescharacteristic
70#14583426—21no—
71#126×D43—21no—
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621900C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic
81#14583284C2211yescharacteristic
82#14583255C2211yescharacteristic
83#14583255C2211yescharacteristic
84#14583255C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic
90#14583232C2211yescharacteristic
91#14583227C2211yescharacteristic
92#14583226C2211yescharacteristic
93#14583225C2211yescharacteristic
94#14583225C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic
96#14583216C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic
103#14583198C2211yescharacteristic
104#14583197C2211yescharacteristic, complemented
105#14583196C2211yescharacteristic, complemented
106#14583192C2211yescharacteristic, complemented
107#14583186C2211yescharacteristic
108#14583183C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic
110#14583153C2211yescharacteristic
111#14583142C2211yescharacteristic, complemented
112#14583137C2211yescharacteristic, complemented
113#14583136C2211yescharacteristic
114#14583134C2211yescharacteristic
115#14583131C2211yescharacteristic
116#14583131C2211yescharacteristic, complemented
117#14583131C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic
119#14583124C2211yescharacteristic
120#14583123C2211yescharacteristic
121#14583123C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic
123#14583116C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583106C2211yescharacteristic, complemented
127#14583101C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic
130#14583060C2211yescharacteristic
131#14583059C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583058C2211yescharacteristic, complemented
134#14583053C2211yescharacteristic, complemented
135#14583049C2211yescharacteristic
136#14583047C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583045C2211yescharacteristic
139#14583043C2211yescharacteristic
140#14583039C2211yescharacteristic
141#14583032C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143C8×Dic86C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583006C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582997C2211yescharacteristic
153#14582997C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157C4×#10621873C2211yescharacteristic
158C4×#10621873C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic
161C4×#10621884C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163#14582984C2211yescharacteristic
164C4×D344C2211yescharacteristic
165C4×D344C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582972C2211yescharacteristic, complemented
170#14582968C2211yescharacteristic
171C8×D172C2211yescharacteristic, complemented
172C8×C22⋊D43C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic
176#14582954C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic
178#14582940C2211yescharacteristic, complemented
179#14582934C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#14582892C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185C2×#13063247C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C22×D172C2311yescharacteristic
209#13063357—24no—
210#13063353—24no—
211#13063346—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323—21no—
230#13063321—21no—
231#13063321C2311yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320D411yescharacteristic
240#13063319—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318D411yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315D411yescharacteristic
253#13063314—21no—
254#13063314—21no—
255#13063314C2311yescharacteristic
256#13063314C2311yescharacteristic
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311D411yescharacteristic
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310D411yescharacteristic
273#13063309—21no—
274#13063309—21no—
275#13063309—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307D411yescharacteristic
281#13063305—21no—
282#13063305—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063302—21no—
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063301C2311yescharacteristic
292#13063300—21no—
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300—21no—
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298D411yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312Q8×Dic43—21no—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290—21no—
322#13063290C2311yescharacteristic
323#13063290C2311yescharacteristic
324C4×D172—21no—
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335D4×Dic43—21no—
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287—21no—
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284C2311yescharacteristic
355#13063283—21no—
356#13063283—21no—
357#13063283—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
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×D43C2311yescharacteristic
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C2×C4×Dic43—21no—
382C42×D43—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#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
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
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#126×C43—21no—
449#125×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×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#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×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×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500#10621902—22no—
501#10621902—22no—
502#10621902—41no—
503#10621902—41no—
504Q8×D43—22no—
505Q8×D43—41no—
506#10621900—22no—
507#10621900—41no—
508#10621898—22no—
509#10621898—41no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—22no—
518C2×D172—41no—
519C2×D172C2×D411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—41no—
546SD16×C43—22no—
547SD16×C43—41no—
548M16×C43—22no—
549C2×C8×C43—41no—
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×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⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621885—22no—
591#10621885—22no—
592#10621884—22no—
593#10621884—41no—
594#10621884—41no—
595#10621884—41no—
596#10621882—22no—
597#10621882—41no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
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
627(C2×D43)⋊C4C2×D411yescharacteristic
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
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
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—22no—
679D344—22no—
680#10621873—22no—
681#10621873#4114yes—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—81no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—81no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—81no—
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C2511yescharacteristic
722C22⋊D43—41no—
723C22⋊D43—41no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—42no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743D172—21no—
744D172—21no—
745D172—21no—
746D172—21no—
747D172—21no—
748D172—41no—
749D172—42no—
750D172—42no—
751D172—42no—
752D172—81no—
753D172—81no—
754D172—81no—
755D172—81no—
756D172C2×#4112yes—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—41no—
762C4×D43—41no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—41no—
778Dic86—42no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—22no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43C22×#4111yescharacteristic
826C4×C43#58511yescharacteristic
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—22no—
832Dic43—21no—
833Dic43—21no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179—431no—
857#3178D4311yescharacteristic, complemented
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—41no—
870C2×C43—81no—
871C2×C43D4×#4111yescharacteristic
872C2×C43#358411yescharacteristic
873C2×C43#358411yescharacteristic
874D43—41no—
875D43—41no—
876D43—42no—
877D43—81no—
878D43—81no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—861no—
908#542C2×D4311yescharacteristic
909#541C2×D4311yescharacteristic
910#540—431no—
911#540—861no—
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520—431no—
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501C2×D4311yescharacteristic, complemented
929#499—431no—
930#497C2×D4311yescharacteristic, complemented
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488C2×D4311yescharacteristic, complemented
937#487C2×D4311yescharacteristic, complemented
938#486—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#477—431no—
960#476—431no—
961#475—431no—
962#474—431no—
963#470C2×D4311yescharacteristic
964#469—431no—
965#468—431no—
966#468C2×D4311yescharacteristic
967#467—431no—
968#467C2×D4311yescharacteristic
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465C2×D4311yescharacteristic
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462—431no—
984#461—431no—
985#460—431no—
986#459—431no—
987#452—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#441—431no—
1005#441—431no—
1006#441C2×D4311yescharacteristic, complemented
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440C2×D4311yescharacteristic, complemented
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16C2×D4311yescharacteristic, complemented
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029#436—431no—
1030#435—431no—
1031#435—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405C2×D4311yescharacteristic
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C22×Q8—431no—
1056C22×D4—431no—
1057#137—864no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16C22×D4311yescharacteristic
1063C2×Q16C22×D4311yescharacteristic
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×M16—431no—
1077C2×M16C22×D4311yescharacteristic
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8C22×D4311yescharacteristic
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—861no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—431no—
1092#126—431no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—21no—
1105#125—21no—
1106#125—431no—
1107#125—431no—
1108#125—431no—
1109#125—431no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125C22×D4311yescharacteristic
1115#124—21no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124C22×D4311yescharacteristic
1128#123—21no—
1129#123—431no—
1130#123—431no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146C22⋊Q8—21no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8C22×D4311yescharacteristic
1159C22⋊Q8C22×D4311yescharacteristic
1160C22⋊Q8C22×D4311yescharacteristic
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121C22×D4311yescharacteristic
1180#120—861no—
1181#120—861no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8C22×D4311yescharacteristic
1195C4×Q8C22×D4311yescharacteristic
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4C22×D4311yescharacteristic
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319#97—431no—
1320#97—431no—
1321#97C22×D4311yescharacteristic
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8C22×D4311yescharacteristic
1328C4×C8C22×D4311yescharacteristic
1329C24—861no—
1330#41—862no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—1721no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—1721no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—862no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—1721no—
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4C23×D4311yescharacteristic
1392Q16—22no—
1393Q16—41no—
1394Q16—862no—
1395Q16—862no—
1396SD16—22no—
1397SD16—41no—
1398SD16—434no—
1399SD16—862no—
1400SD16—862no—
1401SD16—1721no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—862no—
1405D8—862no—
1406D8—862no—
1407D8—1721no—
1408M16—22no—
1409M16—862no—
1410C2×C8—41no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—862no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4D4×D4311yescharacteristic
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—431no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—431no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—1722no—
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—81no—
1551Q8—432no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—81no—
1559D4—432no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—861no—
1564D4—861no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—1721no—
1573D4—1722no—
1574D4—1722no—
1575D4—1722no—
1576D4—1721no—
1577D4—1721no—
1578D4—1722no—
1579D4—1722no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—81no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—1721no—
1617C2×C4—1721no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—861no—
1644C22—861no—
1645C22—862no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—1721no—
1651C22—1721no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—861no—
1673C4—861no—
1674C4—862no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373511yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—3441no—
1688C2—3441no—
1689C2—1721no—
1690C2—1721no—
1691C2—1722no—
1692C2#1914808111yescharacteristic
1693C2#1914936511yescharacteristic
1694C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3178C2
socleC22×C43C23×D4
hypercenter#3178D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #19148702C2semidirect
2. #19148669C2semidirect
3. #19147660C2semidirect
4. #19147535C2semidirect
5. #19147285C2semidirect
6. #19147252C2semidirect
7. #19147150C2semidirect
8. #19147120C2semidirect
9. #19147094C2semidirect
10. #19146529C2semidirect
11. #19146522C2semidirect
12. #19146496C2semidirect
13. #19146477C2semidirect
14. #19146451C2semidirect
15. #19146436C2semidirect
16. #19146223C2semidirect
17. #19146149C2semidirect
18. #19146142C2semidirect
19. #19145274C2semidirect
20. #19145168C2semidirect
21. #19144828C2semidirect
22. #19144803C2semidirect
23. #19144792C2semidirect
24. #19144773C2semidirect
25. #19144710C2semidirect
26. #19144708C2semidirect
27. #19143566C2semidirect
28. #19143433C2semidirect
29. #19143429C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3178C2semidirect
36. #14583631C22semidirect
37. #14583624C22semidirect
40. #14583615C22semidirect
55. #14583557C22semidirect
62. #14583500C22semidirect
66. #14583436C22semidirect
74. #14583375C22semidirect
77. C4×#10621900C22semidirect
78. #14583306C22semidirect
79. #14583300C22semidirect
84. #14583255C22semidirect
85. #14583244C22semidirect
86. #14583239C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
94. #14583225C22semidirect
96. #14583216C22semidirect
97. #14583214C22semidirect
98. #14583205C22semidirect
99. #14583204C22semidirect
100. #14583204C22semidirect
101. #14583203C22semidirect
104. #14583197C22semidirect
105. #14583196C22semidirect
106. #14583192C22semidirect
108. #14583183C22semidirect
111. #14583142C22semidirect
112. #14583137C22semidirect
116. #14583131C22semidirect
117. #14583131C22semidirect
121. #14583123C22semidirect
126. #14583106C22semidirect
127. #14583101C22semidirect
128. #14583097C22semidirect
133. #14583058C22semidirect
134. #14583053C22semidirect
142. #14583027C22semidirect
143. C8×Dic86C22semidirect
147. #14583006C22semidirect
148. #14583004C22semidirect
153. #14582997C22semidirect
154. C4×#10621885C22semidirect
155. #14582991C22semidirect
156. #14582991C22semidirect
159. SD16×Dic43C22semidirect
161. C4×#10621884C22semidirect
169. #14582972C22semidirect
171. C8×D172C22semidirect
174. #14582961C22semidirect
176. #14582954C22semidirect
178. #14582940C22semidirect
179. #14582934C22semidirect
183. #14582892C22semidirect
184. #103×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
190. C43×#501C22semidirect
191. C43×#497C22semidirect
192. C43×#488C22semidirect
193. C43×#487C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
857. #3178D43semidirect
928. #501C2×D43semidirect
930. #497C2×D43semidirect
936. #488C2×D43semidirect
937. #487C2×D43semidirect
1006. #441C2×D43semidirect
1012. #440C2×D43semidirect
1016. C4×Q16C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191487022
#191486692
#191476602
#191475352
#191472852
#191472522
#191471502
#191471202
#191470942
#191465292
#191465222
#191464962
#191464772
#191464512
#191464362
#191462232
#191461492
#191461422
#191452742
#191451682
#191448282
#191448032
#191447922
#191447732
#191447102
#191447082
#191435662
#191434332
#191434292
C4×#130633462
C43×#31782
#6150043