Finite Group Databasebeta

← #25979705

Subgroups — #25979705

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148698C211yesmaximal, characteristic, complemented
2#19148625C211yesmaximal, characteristic, complemented
3#19147642C211yesmaximal, characteristic, complemented
4#19147546C211yesmaximal, characteristic, complemented
5#19147343C211yesmaximal, characteristic, complemented
6#19147321C211yesmaximal, characteristic, complemented
7#19147154C211yesmaximal, characteristic, complemented
8#19147101C211yesmaximal, characteristic, complemented
9#19147101C211yesmaximal, characteristic, complemented
10#19146854C211yesmaximal, characteristic, complemented
11#19146832C211yesmaximal, characteristic, complemented
12#19146776C211yesmaximal, characteristic, complemented
13#19146731C211yesmaximal, characteristic, complemented
14#19146615C211yesmaximal, characteristic, complemented
15#19146600C211yesmaximal, characteristic, complemented
16#19146214C211yesmaximal, characteristic, complemented
17#19146087C211yesmaximal, characteristic, complemented
18#19146087C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145188C211yesmaximal, characteristic, complemented
21#19144881C211yesmaximal, characteristic, complemented
22#19144833C211yesmaximal, characteristic, complemented
23#19144798C211yesmaximal, characteristic, complemented
24#19144777C211yesmaximal, characteristic, complemented
25#19144742C211yesmaximal, characteristic, complemented
26#19144731C211yesmaximal, characteristic, complemented
27#19143576C211yesmaximal, characteristic, complemented
28#19143456C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3176C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583633—21no—
37#14583626C2211yescharacteristic, complemented
38#14583613—21no—
39#14583613C2211yescharacteristic
40#14583613C2211yescharacteristic, complemented
41#14583605C2211yescharacteristic
42#14583602C2211yescharacteristic
43#14583596C2211yescharacteristic
44#14583596C2211yescharacteristic, complemented
45#14583594—21no—
46#14583592—21no—
47#14583587C2211yescharacteristic, complemented
48#14583586—21no—
49#14583569C2211yescharacteristic
50#14583569C2211yescharacteristic, complemented
51#14583555C2211yescharacteristic, complemented
52#14583555C2211yescharacteristic, complemented
53#14583546—21no—
54#14583541—21no—
55#14583538—21no—
56#14583534C2211yescharacteristic
57#14583533C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583517—21no—
60#14583514C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic
62#14583499—21no—
63#14583485—21no—
64#14583481—21no—
65#14583446C2211yescharacteristic
66#14583431C2211yescharacteristic, complemented
67#14583430—21no—
68#14583427C2211yescharacteristic
69#14583426—21no—
70#14583407—21no—
71#121×D43—21no—
72#14583378C2211yescharacteristic, complemented
73#14583376C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583231C2211yescharacteristic, complemented
88#14583225C2211yescharacteristic, complemented
89#14583221C2211yescharacteristic, complemented
90#14583221C2211yescharacteristic, complemented
91#14583220C2211yescharacteristic, complemented
92#14583220C2211yescharacteristic, complemented
93#14583220C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583219C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic
102#14583197C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583196C2211yescharacteristic
105#14583196C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic
107#14583183C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583149C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583146C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583127C2211yescharacteristic, complemented
118#14583113C2211yescharacteristic
119#14583113C2211yescharacteristic
120#14583112C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic, complemented
122#14583098C2211yescharacteristic, complemented
123#14583098C2211yescharacteristic, complemented
124#14583096C2211yescharacteristic, complemented
125#14583096C2211yescharacteristic, complemented
126#14583092C2211yescharacteristic, complemented
127#14583092C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic
129#14583091C2211yescharacteristic, complemented
130#14583051C2211yescharacteristic
131#14583051C2211yescharacteristic
132#14583045C2211yescharacteristic, complemented
133#14583045C2211yescharacteristic, complemented
134#14583041C2211yescharacteristic, complemented
135#14583041C2211yescharacteristic, complemented
136#14583037C2211yescharacteristic, complemented
137#14583037C2211yescharacteristic, complemented
138#14583032C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583029C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583011C2211yescharacteristic, complemented
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14583001C2211yescharacteristic, complemented
152#14583001C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161C4×#10621873C2211yescharacteristic, complemented
162C4×#10621873C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582978C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172#14582970C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582937C2211yescharacteristic, complemented
180#14582909C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582902C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic
189C43×#540C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#493C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#490C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063349—24no—
216#13063349—24no—
217C2×#10621873—24no—
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063321—21no—
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315D411yescharacteristic
254#13063312—21no—
255#13063312—21no—
256#13063312—21no—
257#13063312C2311yescharacteristic
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310D411yescharacteristic
269#13063308—21no—
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307D411yescharacteristic
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303D411yescharacteristic
285#13063302—21no—
286#13063302—21no—
287#13063300—21no—
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063299—21no—
291#13063298—21no—
292#13063298—21no—
293#13063298—21no—
294#13063298—21no—
295#13063298D411yescharacteristic
296#13063297—21no—
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063296—21no—
305#13063296—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063295—21no—
313#13063295—21no—
314#13063293—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284C2311yescharacteristic
362#13063284C2311yescharacteristic
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×Dic43⋊C4—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
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
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450#123×C43—21no—
451#123×C43—21no—
452#121×C43—21no—
453#121×C43—21no—
454#121×C43—21no—
455#121×C43—21no—
456#121×C43C2311yescharacteristic
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
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—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621900—22no—
523#10621900—22no—
524#10621900—41no—
525#10621900—41no—
526#10621900—82no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—41no—
530D4×D43—41no—
531D4×D43—82no—
532D4×D43—82no—
533D4×D43—82no—
534#10621898—82no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—22no—
539C2×D172—41no—
540C2×D172C2×D411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—82no—
552C2×C4×D43C2×D411yescharacteristic
553C2×C4×D43C2×D411yescharacteristic
554C2×C4×D43C2411yescharacteristic
555C2×C4×D43C2411yescharacteristic
556C2×Dic86—22no—
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86—21no—
560C2×Dic86—41no—
561C2×Dic86C2×D411yescharacteristic
562C2×Dic86C2411yescharacteristic
563C2×Dic86C2411yescharacteristic
564D8×C43—22no—
565D8×C43—22no—
566D8×C43—41no—
567D8×C43—41no—
568M16×C43—41no—
569C2×C8×C43—22no—
570C2×C8×C43C2411yescharacteristic
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C42×C43C2411yescharacteristic
595C42×C43C2411yescharacteristic
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612#10621883—22no—
613#10621883—22no—
614#10621883—41no—
615#10621883—41no—
616#10621882—22no—
617#10621882—22no—
618#10621882—41no—
619#10621882—41no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684#10621873—22no—
685#10621873—22no—
686#10621873—22no—
687#10621873#4114yescomplemented
688#10621872—22no—
689#10621872—22no—
690#10621872—41no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43C22×D411yescharacteristic
709C22×D43C22×D411yescharacteristic
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C2511yescharacteristic
742C22⋊D43—41no—
743C22⋊D43—41no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—42no—
763C2×Dic43—42no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775D172—21no—
776D172—21no—
777D172—21no—
778D172—41no—
779D172—42no—
780D172—42no—
781D172—81no—
782D172C2×#4112yes—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—41no—
788C4×D43—41no—
789C4×D43—42no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797Dic86—21no—
798Dic86—21no—
799Dic86—21no—
800Dic86—41no—
801Dic86—42no—
802Dic86—81no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61504—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43C23×D411yescharacteristic
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—22no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—22no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176D4311yescharacteristic, complemented
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—42no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—431no—
915#559—861no—
916#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550—431no—
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—431no—
939#542—861no—
940#540—431no—
941#540—861no—
942#540C2×D4311yescharacteristic
943#540C2×D4311yescharacteristic, complemented
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518—431no—
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499C2×D4311yescharacteristic, complemented
962#496—431no—
963#496—431no—
964#493C2×D4311yescharacteristic, complemented
965#490—431no—
966#490C2×D4311yescharacteristic, complemented
967#490C2×D4311yescharacteristic, complemented
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469C2×D4311yescharacteristic, complemented
999#469C2×D4311yescharacteristic, complemented
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466C2×D4311yescharacteristic, complemented
1005#466C2×D4311yescharacteristic, complemented
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446—431no—
1032#446—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442C2×D4311yescharacteristic, complemented
1039#442C2×D4311yescharacteristic, complemented
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8C2×D4311yescharacteristic, complemented
1060C4×D8C2×D4311yescharacteristic, complemented
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405C2×D4311yescharacteristic, complemented
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C22×Q8—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—864no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C22×C8—431no—
1119C22×C8C22×D4311yescharacteristic
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127C22×D4311yescharacteristic
1127#127C22×D4311yescharacteristic
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—861no—
1140#125—861no—
1141#125—861no—
1142#125C22×D4311yescharacteristic
1143#125C22×D4311yescharacteristic
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—431no—
1161#123—431no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—431no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8—861no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107C22×D4311yescharacteristic
1298#107C22×D4311yescharacteristic
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102C22×D4311yescharacteristic
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356#97C22×D4311yescharacteristic
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8C22×D4311yescharacteristic
1360C4×C8C22×D4311yescharacteristic
1361C24—861no—
1362C24—861no—
1363C24—861no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—1721no—
1369#41—1721no—
1370C2×Q8—431no—
1371C2×Q8—431no—
1372C2×Q8—431no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—862no—
1376C2×Q8—861no—
1377C2×Q8—1721no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—862no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—3442no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443C22×C4C23×D4311yescharacteristic
1444SD16—434no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459D8—1721no—
1460M16—41no—
1461M16—862no—
1462M16—862no—
1463M16—1721no—
1464C2×C8—22no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—1721no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4D4×D4311yescharacteristic
1555C22⋊C4D4×D4311yescharacteristic
1556C42—431no—
1557C42—431no—
1558C42—431no—
1559C42—431no—
1560C42—861no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—431no—
1577C23—431no—
1578C23—861no—
1579C23—861no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—1722no—
1586C23—1722no—
1587C23—1722no—
1588C23—1722no—
1589C23C2×D4×D4311yescharacteristic
1590Q8—432no—
1591Q8—861no—
1592Q8—861no—
1593Q8—861no—
1594Q8—3441no—
1595Q8—3441no—
1596Q8—1721no—
1597Q8—1722no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—432no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—1721no—
1626D4—1722no—
1627D4—1722no—
1628D4—1721no—
1629D4—1721no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—1721no—
1673C2×C4—1721no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8#41×D4312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—861no—
1709C22—861no—
1710C22—862no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—861no—
1715C22—3444no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—6882no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—861no—
1734C4—861no—
1735C4—862no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373511yescharacteristic
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—3441no—
1753C2—1721no—
1754C2—1721no—
1755C2—1722no—
1756C2#1914808111yescharacteristic
1757C2#1914937011yescharacteristic
1758C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3176C2
socleC22×C43C23×D4
hypercenter#3176D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3176

Complements

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

NH ≅ G/Ntype
1. #19148698C2semidirect
2. #19148625C2semidirect
3. #19147642C2semidirect
4. #19147546C2semidirect
5. #19147343C2semidirect
6. #19147321C2semidirect
7. #19147154C2semidirect
8. #19147101C2semidirect
9. #19147101C2semidirect
10. #19146854C2semidirect
11. #19146832C2semidirect
12. #19146776C2semidirect
13. #19146731C2semidirect
14. #19146615C2semidirect
15. #19146600C2semidirect
16. #19146214C2semidirect
17. #19146087C2semidirect
18. #19146087C2semidirect
19. #19145282C2semidirect
20. #19145188C2semidirect
21. #19144881C2semidirect
22. #19144833C2semidirect
23. #19144798C2semidirect
24. #19144777C2semidirect
25. #19144742C2semidirect
26. #19144731C2semidirect
27. #19143576C2semidirect
28. #19143456C2semidirect
29. #19143420C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3176C2semidirect
35. #14583635C22semidirect
37. #14583626C22semidirect
40. #14583613C22semidirect
44. #14583596C22semidirect
47. #14583587C22semidirect
50. #14583569C22semidirect
51. #14583555C22semidirect
52. #14583555C22semidirect
60. #14583514C22semidirect
66. #14583431C22semidirect
72. #14583378C22semidirect
73. #14583376C22semidirect
76. C4×#10621900C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583287C22semidirect
81. #14583287C22semidirect
82. #14583262C22semidirect
83. #14583257C22semidirect
84. #14583252C22semidirect
85. #14583244C22semidirect
86. #14583243C22semidirect
87. #14583231C22semidirect
88. #14583225C22semidirect
89. #14583221C22semidirect
90. #14583221C22semidirect
91. #14583220C22semidirect
92. #14583220C22semidirect
93. #14583220C22semidirect
94. #14583220C22semidirect
95. #14583219C22semidirect
96. #14583211C22semidirect
97. #14583211C22semidirect
98. #14583209C22semidirect
99. #14583203C22semidirect
100. #14583203C22semidirect
102. #14583197C22semidirect
103. #14583197C22semidirect
105. #14583196C22semidirect
107. #14583183C22semidirect
108. #14583177C22semidirect
109. #14583177C22semidirect
110. #14583151C22semidirect
111. #14583149C22semidirect
112. #14583149C22semidirect
113. #14583146C22semidirect
114. #14583146C22semidirect
115. #14583144C22semidirect
116. #14583134C22semidirect
117. #14583127C22semidirect
120. #14583112C22semidirect
121. #14583112C22semidirect
122. #14583098C22semidirect
123. #14583098C22semidirect
124. #14583096C22semidirect
125. #14583096C22semidirect
126. #14583092C22semidirect
127. #14583092C22semidirect
129. #14583091C22semidirect
132. #14583045C22semidirect
133. #14583045C22semidirect
134. #14583041C22semidirect
135. #14583041C22semidirect
136. #14583037C22semidirect
137. #14583037C22semidirect
142. #14583029C22semidirect
143. #14583027C22semidirect
144. #14583011C22semidirect
145. #14583011C22semidirect
147. #14583009C22semidirect
151. #14583001C22semidirect
152. #14583001C22semidirect
153. #14582999C22semidirect
154. #14582999C22semidirect
157. #14582996C22semidirect
158. #14582990C22semidirect
161. C4×#10621873C22semidirect
162. C4×#10621873C22semidirect
163. C4×#10621883C22semidirect
164. C4×#10621883C22semidirect
166. C4×#10621882C22semidirect
168. #14582978C22semidirect
169. #14582975C22semidirect
170. #14582972C22semidirect
171. #14582970C22semidirect
172. #14582970C22semidirect
173. #14582968C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582940C22semidirect
178. #14582940C22semidirect
179. #14582937C22semidirect
180. #14582909C22semidirect
183. #14582897C22semidirect
184. #14582892C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
189. C43×#540C22semidirect
190. C43×#499C22semidirect
191. C43×#493C22semidirect
192. C43×#490C22semidirect
193. C43×#490C22semidirect
194. C43×#469C22semidirect
195. C43×#469C22semidirect
196. C43×#466C22semidirect
197. C43×#466C22semidirect
198. C43×#442C22semidirect
199. C43×#442C22semidirect
200. C4×D8×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
687. #10621873#41semidirect
887. #3176D43semidirect
943. #540C2×D43semidirect
961. #499C2×D43semidirect
964. #493C2×D43semidirect
966. #490C2×D43semidirect
967. #490C2×D43semidirect
998. #469C2×D43semidirect
999. #469C2×D43semidirect
1004. #466C2×D43semidirect
1005. #466C2×D43semidirect
1038. #442C2×D43semidirect
1039. #442C2×D43semidirect
1059. C4×D8C2×D43semidirect
1060. C4×D8C2×D43semidirect
1080. #405C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191486982
#191486252
#191476422
#191475462
#191473432
#191473212
#191471542
#191471012
#191468542
#191468322
#191467762
#191467312
#191466152
#191466002
#191462142
#191460872
#191452822
#191451882
#191448812
#191448332
#191447982
#191447772
#191447422
#191447312
#191435762
#191434562
#191434202
C4×#130633492
C43×#31762
#6150443