Finite Group Databasebeta

← #25979614

Subgroups — #25979614

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#19148699C211yesmaximal, characteristic, complemented
2#19148662C211yesmaximal, characteristic, complemented
3#19147542C211yesmaximal, characteristic, complemented
4#19147276C211yesmaximal, characteristic, complemented
5#19147251C211yesmaximal, characteristic, complemented
6#19147160C211yesmaximal, characteristic, complemented
7#19147130C211yesmaximal, characteristic, complemented
8#19147100C211yesmaximal, characteristic, complemented
9#19146537C211yesmaximal, characteristic, complemented
10#19146526C211yesmaximal, characteristic, complemented
11#19146504C211yesmaximal, characteristic, complemented
12#19146489C211yesmaximal, characteristic, complemented
13#19146452C211yesmaximal, characteristic, complemented
14#19146437C211yesmaximal, characteristic, complemented
15#19146225C211yesmaximal, characteristic, complemented
16#19146149C211yesmaximal, characteristic, complemented
17#19146134C211yesmaximal, characteristic, complemented
18#19145275C211yesmaximal, characteristic, complemented
19#19145260C211yesmaximal, characteristic, complemented
20#19145162C211yesmaximal, characteristic, complemented
21#19144821C211yesmaximal, characteristic, complemented
22#19144806C211yesmaximal, characteristic, complemented
23#19144793C211yesmaximal, characteristic, complemented
24#19144778C211yesmaximal, characteristic, complemented
25#19144703C211yesmaximal, characteristic, complemented
26#19144701C211yesmaximal, characteristic, complemented
27#19143569C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3401C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583633—21no—
36#14583627C2211yescharacteristic, complemented
37#14583622C2211yescharacteristic
38#14583614C2211yescharacteristic, complemented
39#14583611—21no—
40#14583609C2211yescharacteristic
41#14583600—21no—
42#14583599C2211yescharacteristic
43#14583599C2211yescharacteristic
44#14583598—21no—
45#14583590C2211yescharacteristic
46#14583590C2211yescharacteristic
47#14583586—21no—
48#14583585—21no—
49#14583576—21no—
50#14583573—21no—
51#14583569C2211yescharacteristic
52#14583557C2211yescharacteristic
53#14583557C2211yescharacteristic, complemented
54#14583552C2211yescharacteristic
55#14583542C2211yescharacteristic
56#14583542C2211yescharacteristic
57#14583518C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583513—21no—
60#14583510C2211yescharacteristic
61#14583503C2211yescharacteristic, complemented
62#14583501—21no—
63#14583495—21no—
64#14583488—21no—
65#14583436C2211yescharacteristic
66#14583429—21no—
67#14583428C2211yescharacteristic
68#14583428C2211yescharacteristic, complemented
69#14583427—21no—
70#14583426—21no—
71#126×D43—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621900C2211yescharacteristic, complemented
78#14583308C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583301C2211yescharacteristic, complemented
81#14583253C2211yescharacteristic
82#14583253C2211yescharacteristic
83#14583253C2211yescharacteristic, complemented
84#14583253C2211yescharacteristic, complemented
85#14583249C2211yescharacteristic, complemented
86#14583245C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic
89#14583238C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic
92#14583228C2211yescharacteristic
93#14583222C2211yescharacteristic
94#14583222C2211yescharacteristic
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic
97#14583216C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic
104#14583200C2211yescharacteristic
105#14583199C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583194C2211yescharacteristic, complemented
108#14583190C2211yescharacteristic
109#14583185C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic
111#14583154C2211yescharacteristic
112#14583149C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583142C2211yescharacteristic, complemented
115#14583137C2211yescharacteristic
116#14583137C2211yescharacteristic, complemented
117#14583132C2211yescharacteristic
118#14583132C2211yescharacteristic
119#14583125C2211yescharacteristic
120#14583125C2211yescharacteristic
121#14583125C2211yescharacteristic, complemented
122#14583125C2211yescharacteristic, complemented
123#14583118C2211yescharacteristic
124#14583118C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583111C2211yescharacteristic
127#14583106C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic
129#14583060C2211yescharacteristic
130#14583058C2211yescharacteristic
131#14583058C2211yescharacteristic
132#14583058C2211yescharacteristic, complemented
133#14583053C2211yescharacteristic, complemented
134#14583048C2211yescharacteristic
135#14583043C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583043C2211yescharacteristic
138#14583041C2211yescharacteristic
139#14583036C2211yescharacteristic
140#14583031C2211yescharacteristic
141Q8×C43⋊C8C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic
143#14583008C2211yescharacteristic
144#14583006C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583002C2211yescharacteristic
147#14583001C2211yescharacteristic
148#14583001C2211yescharacteristic
149#14583000C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14582996C2211yescharacteristic
152Q16×Dic43C2211yescharacteristic, complemented
153C4×#10621885C2211yescharacteristic, complemented
154C4×#10621885C2211yescharacteristic, complemented
155#14582991C2211yescharacteristic, complemented
156C4×#10621873C2211yescharacteristic
157SD16×Dic43C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic
161#14582986C2211yescharacteristic
162C4×#10621883C2211yescharacteristic
163D8×Dic43C2211yescharacteristic
164C4×#10621882C2211yescharacteristic
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582978C2211yescharacteristic
168#14582972C2211yescharacteristic
169#14582972C2211yescharacteristic, complemented
170#14582964C2211yescharacteristic
171#14582964C2211yescharacteristic
172#14582964C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582938C2211yescharacteristic
177#14582938C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582894C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#559C2211yescharacteristic, complemented
189C43×#556C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#461C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#441C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063357—24no—
210#13063349—24no—
211#13063346—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218C2×#10621882C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063323—21no—
228#13063321—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320D411yescharacteristic
234#13063320D411yescharacteristic
235#13063319—21no—
236#13063319—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063317C2311yescharacteristic
247#13063316D411yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063314D411yescharacteristic
255#13063313—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310D411yescharacteristic
267#13063310D411yescharacteristic
268#13063309—21no—
269#13063309—21no—
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063306—21no—
278#13063303—21no—
279#13063303—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063301—21no—
285#13063301D411yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063301C2311yescharacteristic
289#13063301C2311yescharacteristic
290#13063301C2311yescharacteristic
291#13063301C2311yescharacteristic
292#13063300—21no—
293#13063300D411yescharacteristic
294#13063299—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063295—21no—
312#13063295—21no—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322#13063290—21no—
323#13063290C2311yescharacteristic
324C4×D172—21no—
325C4×D172—21no—
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336#13063287—21no—
337#13063287—21no—
338#13063287C2311yescharacteristic
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351#13063284—21no—
352#13063283—21no—
353#13063283—21no—
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282C2311yescharacteristic
363#13063282C2311yescharacteristic
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×Dic43⋊C4—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C2×C4×Dic43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#106×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C2×C22⋊D43—21no—
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—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621902—22no—
509#10621902—22no—
510#10621902—41no—
511#10621902—41no—
512Q8×D43—22no—
513Q8×D43—41no—
514#10621900—22no—
515#10621900—22no—
516#10621900—41no—
517#10621900—41no—
518D4×D43—22no—
519D4×D43—41no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2×D411yescharacteristic
524C2×D172C2×D411yescharacteristic
525C2×D172C2411yescharacteristic
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×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—41no—
546SD16×C43—22no—
547SD16×C43—41no—
548SD16×C43—41no—
549SD16×C43—41no—
550SD16×C43—41no—
551D8×C43—22no—
552D8×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×C43C2×D411yescharacteristic
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
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—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593#10621885—22no—
594#10621885—22no—
595#10621884—22no—
596#10621883—22no—
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)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
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×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679#10621873#4114yes—
680#10621872—22no—
681#10621872—22no—
682C8×D43—22no—
683C8×D43—41no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C22×D43—21no—
690C22×D43—42no—
691C22×D43—81no—
692C22×D43—81no—
693C22×D43C22×D411yescharacteristic
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—41no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—81no—
710D4×C43—81no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752D172—21no—
753D172—41no—
754D172—41no—
755D172—41no—
756D172—42no—
757D172—42no—
758D172C2×#4112yes—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—41no—
766C4×D43—41no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—42no—
778Dic86—81no—
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—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43C23×D411yescharacteristic
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—22no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
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—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43#58511yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—22no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401D4311yescharacteristic, complemented
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#3178—431no—
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—81no—
870C2×C43—81no—
871C2×C43—81no—
872C2×C43D4×#4111yescharacteristic
873C2×C43#358411yescharacteristic
874C2×C43#358411yescharacteristic
875D43—41no—
876D43—41no—
877D43—41no—
878D43—42no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—861no—
883#559C2×D4311yescharacteristic, complemented
884#557—431no—
885#556—431no—
886#556C2×D4311yescharacteristic
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—431no—
908#542—861no—
909#541—431no—
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#501—431no—
929#499—431no—
930#497C2×D4311yescharacteristic, complemented
931#496C2×D4311yescharacteristic
932#495C2×D4311yescharacteristic
933#488—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#487—431no—
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#470—431no—
964#469—431no—
965#468—431no—
966#468—431no—
967#467—431no—
968#467—431no—
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464C2×D4311yescharacteristic
978#464C2×D4311yescharacteristic, complemented
979#463—431no—
980#463—431no—
981#463C2×D4311yescharacteristic
982#463C2×D4311yescharacteristic
983#462—431no—
984#461C2×D4311yescharacteristic, complemented
985#460C2×D4311yescharacteristic, complemented
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#446C2×D4311yescharacteristic, complemented
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442C2×D4311yescharacteristic
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#440—431no—
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
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#405—431no—
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×SD16C22×D4311yescharacteristic
1068C2×SD16C22×D4311yescharacteristic
1069C2×SD16C22×D4311yescharacteristic
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8C22×D4311yescharacteristic
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—861no—
1087#127C22×D4311yescharacteristic
1088#126—21no—
1089#126—21no—
1090#126—431no—
1091#126—431no—
1092#126—861no—
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—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—431no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#124—21no—
1116#124—431no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124C22×D4311yescharacteristic
1125#124C22×D4311yescharacteristic
1126#124C22×D4311yescharacteristic
1127#124C22×D4311yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—431no—
1131#123—431no—
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—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
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#121—861no—
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—861no—
1190C4×Q8—861no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8C22×D4311yescharacteristic
1194C4×Q8C22×D4311yescharacteristic
1195C4×Q8C22×D4311yescharacteristic
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—21no—
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—861no—
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×D4C22×D4311yescharacteristic
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—21no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
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#117—861no—
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#107—431no—
1266#107—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8C22×D4311yescharacteristic
1279C4⋊C8C22×D4311yescharacteristic
1280C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1292#103—431no—
1293#103—431no—
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#102C22×D4311yescharacteristic
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×C8—431no—
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—431no—
1339C2×Q8—861no—
1340C2×Q8—861no—
1341C2×Q8—861no—
1342C2×Q8—862no—
1343C2×Q8—1721no—
1344C2×Q8D4×D4311yescharacteristic
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—862no—
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—1721no—
1367C2×D4C23×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
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×C4—861no—
1392Q16—22no—
1393Q16—41no—
1394Q16—862no—
1395Q16—862no—
1396SD16—22no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—434no—
1402SD16—862no—
1403SD16—862no—
1404D8—22no—
1405D8—41no—
1406D8—862no—
1407D8—862no—
1408M16—862no—
1409M16—862no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—1721no—
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—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
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⋊C4—861no—
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4D4×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—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
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⋊C4—861no—
1513C22⋊C4—861no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—431no—
1518C42—431no—
1519C42—431no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42C23×D4311yescharacteristic
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—431no—
1538C23—431no—
1539C23—431no—
1540C23—861no—
1541C23—3441no—
1542C23—3441no—
1543C23—1722no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—432no—
1552Q8—861no—
1553Q8—3441no—
1554Q8—3441no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—81no—
1563D4—81no—
1564D4—432no—
1565D4—861no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—1721no—
1573D4—1721no—
1574D4—1721no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4—1722no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
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—861no—
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—1721no—
1616C2×C4—1721no—
1617C2×C4—1722no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4C2×D4×D4311yescharacteristic
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—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—862no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—861no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—862no—
1675C4—861no—
1676C4—861no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373411yescharacteristic
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2—1721no—
1689C2—1721no—
1690C2—1721no—
1691C2—1722no—
1692C2#1914808511yescharacteristic
1693C2#1914936711yescharacteristic
1694C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3401C2
socleC22×C43C23×D4
hypercenter#3401D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #19148699C2semidirect
2. #19148662C2semidirect
3. #19147542C2semidirect
4. #19147276C2semidirect
5. #19147251C2semidirect
6. #19147160C2semidirect
7. #19147130C2semidirect
8. #19147100C2semidirect
9. #19146537C2semidirect
10. #19146526C2semidirect
11. #19146504C2semidirect
12. #19146489C2semidirect
13. #19146452C2semidirect
14. #19146437C2semidirect
15. #19146225C2semidirect
16. #19146149C2semidirect
17. #19146134C2semidirect
18. #19145275C2semidirect
19. #19145260C2semidirect
20. #19145162C2semidirect
21. #19144821C2semidirect
22. #19144806C2semidirect
23. #19144793C2semidirect
24. #19144778C2semidirect
25. #19144703C2semidirect
26. #19144701C2semidirect
27. #19143569C2semidirect
28. #19143437C2semidirect
29. #19143424C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3401C2semidirect
36. #14583627C22semidirect
38. #14583614C22semidirect
53. #14583557C22semidirect
61. #14583503C22semidirect
68. #14583428C22semidirect
74. #14583375C22semidirect
77. C4×#10621900C22semidirect
78. #14583308C22semidirect
79. #14583308C22semidirect
80. #14583301C22semidirect
83. #14583253C22semidirect
84. #14583253C22semidirect
85. #14583249C22semidirect
86. #14583245C22semidirect
87. #14583239C22semidirect
89. #14583238C22semidirect
90. #14583238C22semidirect
95. #14583222C22semidirect
97. #14583216C22semidirect
98. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583207C22semidirect
101. #14583206C22semidirect
102. #14583206C22semidirect
105. #14583199C22semidirect
106. #14583199C22semidirect
107. #14583194C22semidirect
109. #14583185C22semidirect
114. #14583142C22semidirect
116. #14583137C22semidirect
121. #14583125C22semidirect
122. #14583125C22semidirect
127. #14583106C22semidirect
132. #14583058C22semidirect
133. #14583053C22semidirect
141. Q8×C43⋊C8C22semidirect
144. #14583006C22semidirect
145. #14583003C22semidirect
149. #14583000C22semidirect
150. #14583000C22semidirect
152. Q16×Dic43C22semidirect
153. C4×#10621885C22semidirect
154. C4×#10621885C22semidirect
155. #14582991C22semidirect
158. SD16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
169. #14582972C22semidirect
172. #14582964C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
177. #14582938C22semidirect
178. #14582934C22semidirect
182. #14582892C22semidirect
183. #103×D43C22semidirect
186. #14582856C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#559C22semidirect
190. C43×#497C22semidirect
194. C43×#464C22semidirect
197. C43×#461C22semidirect
198. C43×#460C22semidirect
199. C43×#446C22semidirect
201. C43×#441C22semidirect
202. C4×SD16×C43C22semidirect
840. #3401D43semidirect
883. #559C2×D43semidirect
930. #497C2×D43semidirect
978. #464C2×D43semidirect
984. #461C2×D43semidirect
985. #460C2×D43semidirect
999. #446C2×D43semidirect
1006. #441C2×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
#191486992
#191486622
#191475422
#191472762
#191472512
#191471602
#191471302
#191471002
#191465372
#191465262
#191465042
#191464892
#191464522
#191464372
#191462252
#191461492
#191461342
#191452752
#191452602
#191451622
#191448212
#191448062
#191447932
#191447782
#191447032
#191447012
#191435692
#191434372
#191434242
C4×#130633462
C43×#34012
#6150043