Finite Group Databasebeta

← #25979509

Subgroups — #25979509

Order 11008.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148634C211yesmaximal, characteristic, complemented
2#19148625C211yesmaximal, characteristic, complemented
3#19147610C211yesmaximal, characteristic, complemented
4#19147497C211yesmaximal, characteristic, complemented
5#19147247C211yesmaximal, characteristic, complemented
6#19147225C211yesmaximal, characteristic, complemented
7#19147183C211yesmaximal, characteristic, complemented
8#19147087C211yesmaximal, characteristic, complemented
9#19147083C211yesmaximal, characteristic, complemented
10#19146516C211yesmaximal, characteristic, complemented
11#19146442C211yesmaximal, characteristic, complemented
12#19146438C211yesmaximal, characteristic, complemented
13#19146422C211yesmaximal, characteristic, complemented
14#19146417C211yesmaximal, characteristic, complemented
15#19146406C211yesmaximal, characteristic, complemented
16#19146188C211yesmaximal, characteristic, complemented
17#19146078C211yesmaximal, characteristic, complemented
18#19146070C211yesmaximal, characteristic, complemented
19#19145280C211yesmaximal, characteristic, complemented
20#19145276C211yesmaximal, characteristic, complemented
21#19145151C211yesmaximal, characteristic, complemented
22#19144790C211yesmaximal, characteristic, complemented
23#19144785C211yesmaximal, characteristic, complemented
24#19144781C211yesmaximal, characteristic, complemented
25#19144692C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143568C211yesmaximal, characteristic, complemented
28#19143424C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×D8×D43C211yesmaximal, characteristic, complemented
31C43×#3119C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583621C2211yescharacteristic, complemented
36#14583613C2211yescharacteristic, complemented
37#14583609C2211yescharacteristic, complemented
38#14583605C2211yescharacteristic, complemented
39#14583604C2211yescharacteristic, complemented
40#14583602C2211yescharacteristic
41#14583596C2211yescharacteristic
42#14583594—21no—
43#14583582—21no—
44#14583578—21no—
45#14583573—21no—
46#14583569C2211yescharacteristic, complemented
47D4×Dic86C2211yescharacteristic, complemented
48#14583558—21no—
49#14583550C2211yescharacteristic, complemented
50#14583548C2211yescharacteristic, complemented
51#14583546—21no—
52#14583544C2211yescharacteristic, complemented
53#14583541—21no—
54#14583538—21no—
55#14583537C2211yescharacteristic, complemented
56#14583534C2211yescharacteristic
57#14583533C2211yescharacteristic
58#14583533C2211yescharacteristic, complemented
59#14583521C2211yescharacteristic, complemented
60#14583520C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic, complemented
62#14583496—21no—
63#14583491—21no—
64#14583485—21no—
65#14583481—21no—
66#14583453C2211yescharacteristic, complemented
67#14583446C2211yescharacteristic
68#14583427C2211yescharacteristic
69#14583408—21no—
70#14583407—21no—
71C2×#13063303—21no—
72#121×D43—21no—
73#14583378C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×D4×D43C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583286C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583256C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583245C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583241C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583190C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583136C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583131C2211yescharacteristic, complemented
117#14583129C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583126C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic
123#14583116C2211yescharacteristic, complemented
124#14583115C2211yescharacteristic
125#14583115C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583098C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic, complemented
131#14583092C2211yescharacteristic, complemented
132#14583052C2211yescharacteristic, complemented
133#14583051C2211yescharacteristic
134#14583048C2211yescharacteristic
135#14583048C2211yescharacteristic, complemented
136#14583045C2211yescharacteristic, complemented
137#14583041C2211yescharacteristic, complemented
138#14583035C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583034C2211yescharacteristic, complemented
141#14583031C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583023C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic
149#14583001C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic, complemented
151#14582997C2211yescharacteristic, complemented
152#14582997C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154C4×#10621873C2211yescharacteristic, complemented
155C4×#10621884C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157#14582986C2211yescharacteristic, complemented
158C4×#10621883C2211yescharacteristic, complemented
159C4×D344C2211yescharacteristic
160D8×Dic43C2211yescharacteristic, complemented
161D8×Dic43C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic
163C4×#10621882C2211yescharacteristic
164C4×#10621882C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582973C2211yescharacteristic, complemented
170#14582969C2211yescharacteristic, complemented
171#14582964C2211yescharacteristic, complemented
172(C22⋊D43)⋊C8C2211yescharacteristic, complemented
173(C22⋊D43)⋊C8C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582939C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181C2×#13063245C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic, complemented
190C43×#481C2211yescharacteristic, complemented
191C43×#480C2211yescharacteristic, complemented
192C43×#479C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#460C2211yescharacteristic, complemented
195C43×#459C2211yescharacteristic, complemented
196C43×#449C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86—21no—
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C2×D4×D43C2311yescharacteristic
215C22×C4×D43—21no—
216C22×C4×D43—21no—
217#13063350—24no—
218#13063349—24no—
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231D8×D43—24no—
232C2×#10621877C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238#13063325C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063324C2311yescharacteristic
242#13063323C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320D411yescharacteristic
249#13063319—21no—
250#13063319—21no—
251#13063318—21no—
252#13063318D411yescharacteristic
253#13063317—21no—
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313C2311yescharacteristic
261#13063312—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310D411yescharacteristic
270#13063309—21no—
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307D411yescharacteristic
278#13063306—21no—
279#13063306—21no—
280#13063305—21no—
281#13063305C2311yescharacteristic
282#13063304—21no—
283#13063304—21no—
284#13063304C2311yescharacteristic
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303D411yescharacteristic
296#13063302—21no—
297#13063302—21no—
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063300—21no—
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299—21no—
305#13063299—21no—
306#13063299C2311yescharacteristic
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298D411yescharacteristic
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063296—21no—
318#13063296—21no—
319#13063296—21no—
320#13063296C2311yescharacteristic
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063293—21no—
326#13063293—21no—
327#13063293—21no—
328#13063293—21no—
329#13063293—21no—
330C4×Dic86—21no—
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063284C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—22no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
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×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521#10621900—22no—
522#10621900—41no—
523#10621900—82no—
524D4×D43—22no—
525D4×D43—22no—
526D4×D43—22no—
527D4×D43—41no—
528D4×D43—41no—
529D4×D43—41no—
530D4×D43—82no—
531D4×D43—82no—
532D4×D43—82no—
533#10621898—82no—
534#10621898—82no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—22no—
540C2×D172—41no—
541C2×D172C2×D411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
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—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×C4×D43—82no—
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—21no—
566C2×Dic86—82no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—41no—
570SD16×C43—41no—
571D8×C43—22no—
572D8×C43—22no—
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43—21no—
597C42×C43—21no—
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
609C22⋊Dic43C2×D411yescharacteristic
610#10621884—22no—
611#10621884—22no—
612#10621883—22no—
613#10621883—41no—
614#10621882—22no—
615#10621882—22no—
616#10621882—41no—
617#10621882#4114yescomplemented
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
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)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—41no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689#10621873—22no—
690#10621873—41no—
691#10621872—22no—
692C8×D43—22no—
693C8×D43—41no—
694C8×D43—41no—
695C23×C43—21no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43C22×D411yescharacteristic
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43C22×D411yescharacteristic
715C22×D43C22×D411yescharacteristic
716Q8×C43—21no—
717Q8×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—42no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43C2×#4112yes—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—42no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C2511yescharacteristic
748C22⋊D43—22no—
749C22⋊D43—22no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—42no—
767C2×Dic43—42no—
768C2×Dic43—42no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777D172—22no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—42no—
784D172—42no—
785D172—81no—
786D172—81no—
787D172C2×#4112yes—
788C4×D43—22no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—21no—
792C4×D43—21no—
793C4×D43—22no—
794C4×D43—42no—
795C4×D43—42no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805Dic86—22no—
806Dic86—21no—
807Dic86—21no—
808Dic86—42no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43—21no—
815C8×C43—21no—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8—21no—
819C43⋊C8C2×#4112yes—
820#61496—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—22no—
823C22×C43—21no—
824C22×C43—21no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—22no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—84no—
849C2×D43—84no—
850C2×D43—162no—
851C2×D43—162no—
852C2×D43#57712yes—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—21no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43—41no—
863C4×C43C22×#4111yescharacteristic
864C4×C43#58511yescharacteristic
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—21no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43—41no—
875Dic43#57612yes—
876#3520—431no—
877#3519—431no—
878#3397—431no—
879#3384—431no—
880#3360—431no—
881#3358—431no—
882#3354—431no—
883#3346—431no—
884#3346—431no—
885#3303—431no—
886#3297—431no—
887#3297—431no—
888#3295—431no—
889#3295—431no—
890#3294—431no—
891#3272—431no—
892#3264—431no—
893#3264—431no—
894#3179—431no—
895#3179—431no—
896#3167—431no—
897#3119—431no—
898#3119D4311yescharacteristic, complemented
899#3118—431no—
900#3118—431no—
901#3110—431no—
902#3109—431no—
903#2966—431no—
904#2946—431no—
905#2946—431no—
906C2×C4×D8—431no—
907C2×C43—42no—
908C2×C43—41no—
909C2×C43—81no—
910C2×C43—81no—
911C2×C43D4×#4111yescharacteristic
912C2×C43C2×#57611yescharacteristic
913C2×C43C2×#57711yescharacteristic
914D43—22no—
915D43—41no—
916D43—42no—
917D43—81no—
918D43—81no—
919C2×AGL(1,ℤ/8)—431no—
920C2×AGL(1,ℤ/8)—431no—
921C22×D8—431no—
922#556—431no—
923#555—431no—
924#554—431no—
925#554—431no—
926#554—431no—
927#553—431no—
928#553—431no—
929#553—861no—
930#552—861no—
931#551—861no—
932#551—861no—
933#550—431no—
934D4×Q8—431no—
935#548—861no—
936#547—431no—
937#547—431no—
938#546—431no—
939#546—431no—
940#546—861no—
941#546—861no—
942#546—861no—
943D42—431no—
944D42—431no—
945D42—431no—
946#542—431no—
947#542—431no—
948#540—431no—
949#540C2×D4311yescharacteristic, complemented
950#539—861no—
951#539—861no—
952#538—861no—
953#538—861no—
954#533—431no—
955#532—431no—
956#529—431no—
957#525—861no—
958#525—861no—
959C2×C22⋊Q8—861no—
960C2×#121—861no—
961#520—431no—
962#520C2×D4311yescharacteristic, complemented
963#518—431no—
964#518—431no—
965C2×C4×D4—431no—
966C2×C4×D4—431no—
967#501—431no—
968#501—431no—
969#498—431no—
970#496—431no—
971#496—431no—
972#492—431no—
973#488—431no—
974#488—431no—
975#487—431no—
976#486—431no—
977#486—431no—
978#486—431no—
979#485—431no—
980#485—431no—
981#484—431no—
982#484—431no—
983#482—431no—
984#482—431no—
985#481—431no—
986#481—431no—
987#481—431no—
988#481C2×D4311yescharacteristic, complemented
989#480—431no—
990#480C2×D4311yescharacteristic, complemented
991#479—431no—
992#479C2×D4311yescharacteristic, complemented
993#478—431no—
994#478C2×D4311yescharacteristic, complemented
995#476—431no—
996#476—431no—
997#476—431no—
998#476—431no—
999#474—431no—
1000#474—431no—
1001#474—431no—
1002#474—431no—
1003#469—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#466—431no—
1008#466—431no—
1009#465—431no—
1010#465—431no—
1011#465—431no—
1012#465—431no—
1013#465—431no—
1014#465—431no—
1015#463—431no—
1016#463—431no—
1017#463—431no—
1018#463—431no—
1019#461—431no—
1020#461—431no—
1021#460—431no—
1022#460C2×D4311yescharacteristic, complemented
1023#459—431no—
1024#459—431no—
1025#459—431no—
1026#459C2×D4311yescharacteristic, complemented
1027#450—431no—
1028#450—431no—
1029#450—431no—
1030#450—431no—
1031#449—431no—
1032#449—431no—
1033#449C2×D4311yescharacteristic, complemented
1034#449C2×D4311yescharacteristic, complemented
1035#447—431no—
1036#447—431no—
1037#447—431no—
1038#447—431no—
1039#446—431no—
1040C8×Q8—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442—431no—
1046#442C2×D4311yescharacteristic, complemented
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440C2×D4311yescharacteristic, complemented
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16—431no—
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16C2×D4311yescharacteristic, complemented
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8—431no—
1065C4×D8—431no—
1066C4×D8—431no—
1067C4×D8—431no—
1068C4×D8C2×D4311yescharacteristic, complemented
1069#436—431no—
1070#435—431no—
1071#435—431no—
1072C8×D4—431no—
1073C8×D4—431no—
1074C8×D4—431no—
1075#433—431no—
1076#433C2×D4311yescharacteristic, complemented
1077#432—431no—
1078#428—431no—
1079#428—431no—
1080C2×#107—431no—
1081#416—431no—
1082#416—431no—
1083C2×#102—431no—
1084C2×#102—431no—
1085C2×#102—431no—
1086C2×#102—431no—
1087#405—431no—
1088#405—431no—
1089C2×C4×C8—431no—
1090C43#6149611yescharacteristic, complemented, Sylow
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41C22×D4311yescharacteristic
1096C22×Q8—861no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—861no—
1102C22×D4—861no—
1103C22×D4—861no—
1104C23×C4—861no—
1105C23×C4—861no—
1106AGL(1,ℤ/8)—864no—
1107AGL(1,ℤ/8)—864no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—431no—
1111C2×SD16—431no—
1112C2×SD16—431no—
1113C2×SD16—431no—
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8—431no—
1121C2×D8—431no—
1122C2×D8—864no—
1123C2×D8C22×D4311yescharacteristic
1124C2×D8C22×D4311yescharacteristic
1125C2×M16—431no—
1126C2×M16—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8—431no—
1135C4⋊Q8—431no—
1136#127—431no—
1137#127—431no—
1138#127C22×D4311yescharacteristic
1139#126—431no—
1140#126—431no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#125—431no—
1148#125—431no—
1149#125—861no—
1150#125—861no—
1151#125—861no—
1152#125C22×D4311yescharacteristic
1153#124—431no—
1154#124—431no—
1155#124—431no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124—861no—
1160#124—861no—
1161#123—21no—
1162#123—21no—
1163#123—431no—
1164#123—431no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197#121—21no—
1198#121—21no—
1199#121—431no—
1200#121—431no—
1201#121—431no—
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—431no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121C22×D4311yescharacteristic
1222#121C22×D4311yescharacteristic
1223#120—861no—
1224#120—861no—
1225#120—861no—
1226#120—861no—
1227#120—861no—
1228#120—861no—
1229#120—861no—
1230#120—861no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—861no—
1235C4×Q8C22×D4311yescharacteristic
1236C4×Q8C22×D4311yescharacteristic
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
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×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4C22×D4311yescharacteristic
1270C4×D4C22×D4311yescharacteristic
1271C4×D4C22×D4311yescharacteristic
1272C4×D4C22×D4311yescharacteristic
1273#117—21no—
1274#117—431no—
1275#117—431no—
1276#117—431no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280#117—861no—
1281#117C22×D4311yescharacteristic
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—431no—
1284C2×C4⋊C4—431no—
1285C2×C4⋊C4—431no—
1286C2×C4⋊C4—861no—
1287C2×C4⋊C4—861no—
1288C2×C4⋊C4—861no—
1289C2×C4⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4—861no—
1291C2×C22⋊C4—861no—
1292C2×C22⋊C4—861no—
1293C2×C22⋊C4—861no—
1294C2×C22⋊C4—861no—
1295C2×C22⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C42—431no—
1299#107—431no—
1300#107—431no—
1301#107—431no—
1302#107—431no—
1303#107—431no—
1304#107—431no—
1305#107C22×D4311yescharacteristic
1306#107C22×D4311yescharacteristic
1307#106—431no—
1308#106—431no—
1309#106—431no—
1310#106—431no—
1311#106—431no—
1312#106—431no—
1313#106C22×D4311yescharacteristic
1314#106C22×D4311yescharacteristic
1315C4⋊C8—431no—
1316C4⋊C8—431no—
1317C4⋊C8—431no—
1318C4⋊C8—431no—
1319C4⋊C8C22×D4311yescharacteristic
1320C4⋊C8C22×D4311yescharacteristic
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103C22×D4311yescharacteristic
1328#103C22×D4311yescharacteristic
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#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102C22×D4311yescharacteristic
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353C22⋊C8—431no—
1354C22⋊C8—431no—
1355C22⋊C8—431no—
1356C22⋊C8—431no—
1357C22⋊C8C22×D4311yescharacteristic
1358C22⋊C8C22×D4311yescharacteristic
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8C22×D4311yescharacteristic
1369C24—861no—
1370C24—861no—
1371C24—861no—
1372C24—861no—
1373#41—22no—
1374#41—41no—
1375#41—862no—
1376#41—3442no—
1377#41—3442no—
1378#41—3442no—
1379#41—1721no—
1380C2×Q8—431no—
1381C2×Q8—431no—
1382C2×Q8—861no—
1383C2×Q8—861no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—3442no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—862no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—862no—
1411C2×D4—862no—
1412C2×D4—862no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—3442no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4—1721no—
1422C2×D4—1721no—
1423C2×D4—1721no—
1424C2×D4—1721no—
1425C2×D4C23×D4311yescharacteristic
1426C2×D4C23×D4311yescharacteristic
1427C2×D4C23×D4311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—3442no—
1455C22×C4—3442no—
1456C22×C4C23×D4311yescharacteristic
1457SD16—41no—
1458SD16—41no—
1459SD16—862no—
1460SD16—862no—
1461SD16—862no—
1462SD16—862no—
1463SD16—1721no—
1464SD16—1721no—
1465D8—22no—
1466D8—22no—
1467D8—434no—
1468D8—862no—
1469D8—862no—
1470D8—862no—
1471D8—1721no—
1472D8—1721no—
1473M16—862no—
1474M16—862no—
1475C2×C8—431no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—431no—
1479C2×C8—862no—
1480C2×C8—1721no—
1481C2×C8—1721no—
1482C2×C8—1721no—
1483C2×C8C23×D4311yescharacteristic
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—431no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4D4×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C4⋊C4C23×D4311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—431no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
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⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4D4×D4311yescharacteristic
1570C22⋊C4D4×D4311yescharacteristic
1571C42—21no—
1572C42—21no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—861no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42C23×D4311yescharacteristic
1582C42C23×D4311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—431no—
1587C23—431no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—3441no—
1592C23—3441no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—3441no—
1597C23—1722no—
1598C23—1722no—
1599C23—1722no—
1600C23—1722no—
1601C23—1722no—
1602C23—1722no—
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—862no—
1607Q8—861no—
1608Q8—861no—
1609Q8—3441no—
1610Q8—3441no—
1611Q8—3441no—
1612Q8—1722no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—432no—
1624D4—862no—
1625D4—862no—
1626D4—862no—
1627D4—861no—
1628D4—861no—
1629D4—861no—
1630D4—861no—
1631D4—861no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4#41×D4312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—431no—
1667C2×C4—862no—
1668C2×C4—862no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4—1722no—
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C2×D4×D4311yescharacteristic
1699C2×C4C24×D4311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—432no—
1705C8—861no—
1706C8—861no—
1707C8—861no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—432no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—861no—
1726C22—862no—
1727C22—3444no—
1728C22—3444no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—6882no—
1738C22—6882no—
1739C22C22×D4×D4311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—432no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—861no—
1755C4—861no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4—1721no—
1760C4—1721no—
1761C4C2×#41×D4311yescharacteristic
1762C4#1458373511yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—862no—
1768C2—3441no—
1769C2—3441no—
1770C2—1721no—
1771C2—1722no—
1772C2#1914807811yescharacteristic
1773C2#576×D4311yescharacteristic
1774C2#577×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3119C2
socleC22×C43C23×D4
hypercenter#3119D43
hypocenterC43#61496
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #19148634C2semidirect
2. #19148625C2semidirect
3. #19147610C2semidirect
4. #19147497C2semidirect
5. #19147247C2semidirect
6. #19147225C2semidirect
7. #19147183C2semidirect
8. #19147087C2semidirect
9. #19147083C2semidirect
10. #19146516C2semidirect
11. #19146442C2semidirect
12. #19146438C2semidirect
13. #19146422C2semidirect
14. #19146417C2semidirect
15. #19146406C2semidirect
16. #19146188C2semidirect
17. #19146078C2semidirect
18. #19146070C2semidirect
19. #19145280C2semidirect
20. #19145276C2semidirect
21. #19145151C2semidirect
22. #19144790C2semidirect
23. #19144785C2semidirect
24. #19144781C2semidirect
25. #19144692C2semidirect
26. #19144684C2semidirect
27. #19143568C2semidirect
28. #19143424C2semidirect
29. #19143423C2semidirect
30. C4×D8×D43C2semidirect
31. C43×#3119C2semidirect
35. #14583621C22semidirect
36. #14583613C22semidirect
37. #14583609C22semidirect
38. #14583605C22semidirect
39. #14583604C22semidirect
46. #14583569C22semidirect
47. D4×Dic86C22semidirect
49. #14583550C22semidirect
50. #14583548C22semidirect
52. #14583544C22semidirect
55. #14583537C22semidirect
58. #14583533C22semidirect
59. #14583521C22semidirect
60. #14583520C22semidirect
61. #14583500C22semidirect
66. #14583453C22semidirect
73. #14583378C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
77. C4×D4×D43C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583296C22semidirect
81. #14583286C22semidirect
82. #14583285C22semidirect
83. #14583270C22semidirect
84. #14583256C22semidirect
85. #14583255C22semidirect
86. #14583248C22semidirect
87. #14583245C22semidirect
88. #14583244C22semidirect
89. #14583244C22semidirect
90. #14583241C22semidirect
91. #14583239C22semidirect
92. #14583236C22semidirect
93. #14583233C22semidirect
94. #14583225C22semidirect
95. #14583224C22semidirect
96. #14583219C22semidirect
97. #14583216C22semidirect
98. #14583216C22semidirect
99. #14583214C22semidirect
100. #14583205C22semidirect
101. #14583201C22semidirect
102. #14583190C22semidirect
103. #14583188C22semidirect
104. #14583188C22semidirect
105. #14583187C22semidirect
106. #14583180C22semidirect
107. #14583178C22semidirect
108. #14583177C22semidirect
109. #14583177C22semidirect
110. #14583151C22semidirect
111. #14583150C22semidirect
112. #14583148C22semidirect
113. #14583143C22semidirect
114. #14583136C22semidirect
115. #14583133C22semidirect
116. #14583131C22semidirect
117. #14583129C22semidirect
118. #14583127C22semidirect
119. #14583126C22semidirect
120. #14583125C22semidirect
121. #14583125C22semidirect
123. #14583116C22semidirect
125. #14583115C22semidirect
126. #14583103C22semidirect
127. #14583102C22semidirect
128. #14583098C22semidirect
129. #14583093C22semidirect
130. #14583092C22semidirect
131. #14583092C22semidirect
132. #14583052C22semidirect
135. #14583048C22semidirect
136. #14583045C22semidirect
137. #14583041C22semidirect
140. #14583034C22semidirect
141. #14583031C22semidirect
142. #14583028C22semidirect
143. #14583023C22semidirect
144. #14583012C22semidirect
146. #14583009C22semidirect
147. #14583009C22semidirect
149. #14583001C22semidirect
150. #14582999C22semidirect
151. #14582997C22semidirect
152. #14582997C22semidirect
153. #14582996C22semidirect
154. C4×#10621873C22semidirect
155. C4×#10621884C22semidirect
156. C4×#10621884C22semidirect
157. #14582986C22semidirect
158. C4×#10621883C22semidirect
160. D8×Dic43C22semidirect
161. D8×Dic43C22semidirect
164. C4×#10621882C22semidirect
165. C4×#10621882C22semidirect
167. #14582979C22semidirect
168. #14582974C22semidirect
169. #14582973C22semidirect
170. #14582969C22semidirect
171. #14582964C22semidirect
172. (C22⋊D43)⋊C8C22semidirect
173. (C22⋊D43)⋊C8C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582939C22semidirect
177. #14582938C22semidirect
178. #107×D43C22semidirect
179. #14582895C22semidirect
180. #14582892C22semidirect
181. C2×#13063245C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#540C22semidirect
189. C43×#520C22semidirect
190. C43×#481C22semidirect
191. C43×#480C22semidirect
192. C43×#479C22semidirect
193. C43×#478C22semidirect
194. C43×#460C22semidirect
195. C43×#459C22semidirect
196. C43×#449C22semidirect
197. C43×#449C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
617. #10621882#41semidirect
898. #3119D43semidirect
949. #540C2×D43semidirect
962. #520C2×D43semidirect
988. #481C2×D43semidirect
990. #480C2×D43semidirect
992. #479C2×D43semidirect
994. #478C2×D43semidirect
1022. #460C2×D43semidirect
1026. #459C2×D43semidirect
1033. #449C2×D43semidirect
1034. #449C2×D43semidirect
1046. #442C2×D43semidirect
1052. #440C2×D43semidirect
1058. C4×SD16C2×D43semidirect
1068. C4×D8C2×D43semidirect
1076. #433C2×D43semidirect
1090. C43#61496semidirect

Maximal subgroups

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

subgroupindex
#191486342
#191486252
#191476102
#191474972
#191472472
#191472252
#191471832
#191470872
#191470832
#191465162
#191464422
#191464382
#191464222
#191464172
#191464062
#191461882
#191460782
#191460702
#191452802
#191452762
#191451512
#191447902
#191447852
#191447812
#191446922
#191446842
#191435682
#191434242
#191434232
C4×D8×D432
C43×#31192
#6149643