Finite Group Databasebeta

← #25979791

Subgroups — #25979791

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148665C211yesmaximal, characteristic, complemented
2#19148625C211yesmaximal, characteristic, complemented
3#19147610C211yesmaximal, characteristic, complemented
4#19147552C211yesmaximal, characteristic, complemented
5#19147420C211yesmaximal, characteristic, complemented
6#19147306C211yesmaximal, characteristic, complemented
7#19147201C211yesmaximal, characteristic, complemented
8#19147137C211yesmaximal, characteristic, complemented
9#19147113C211yesmaximal, characteristic, complemented
10#19146829C211yesmaximal, characteristic, complemented
11#19146793C211yesmaximal, characteristic, complemented
12#19146755C211yesmaximal, characteristic, complemented
13#19146734C211yesmaximal, characteristic, complemented
14#19146614C211yesmaximal, characteristic, complemented
15#19146575C211yesmaximal, characteristic, complemented
16#19146188C211yesmaximal, characteristic, complemented
17#19146078C211yesmaximal, characteristic, complemented
18#19146070C211yesmaximal, characteristic, complemented
19#19145280C211yesmaximal, characteristic, complemented
20#19145221C211yesmaximal, characteristic, complemented
21#19145186C211yesmaximal, characteristic, complemented
22#19144844C211yesmaximal, characteristic, complemented
23#19144835C211yesmaximal, characteristic, complemented
24#19144781C211yesmaximal, characteristic, complemented
25#19144742C211yesmaximal, characteristic, complemented
26#19144737C211yesmaximal, characteristic, complemented
27#19143578C211yesmaximal, characteristic, complemented
28#19143444C211yesmaximal, characteristic, complemented
29#19143423C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3119C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583622C2211yescharacteristic, complemented
36#14583621C2211yescharacteristic, complemented
37#14583613C2211yescharacteristic
38#14583606C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic, complemented
40#14583602C2211yescharacteristic
41#14583597C2211yescharacteristic, complemented
42#14583596C2211yescharacteristic, complemented
43#14583595—21no—
44#14583594—21no—
45#14583584C2211yescharacteristic, complemented
46#14583582—21no—
47#14583578—21no—
48#14583573—21no—
49#14583569C2211yescharacteristic, 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#14583520C2211yescharacteristic, complemented
60#14583507C2211yescharacteristic, complemented
61#14583500C2211yescharacteristic
62#14583496—21no—
63#14583485—21no—
64#14583482—21no—
65#14583481—21no—
66#14583446C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic, complemented
68#14583429—21no—
69#14583427C2211yescharacteristic
70C2×#13063320—21no—
71#14583407—21no—
72#121×D43—21no—
73#14583373C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic
75#14583371C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583300C2211yescharacteristic, complemented
81#14583286C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583245C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583238C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic, complemented
106#14583190C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583142C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic, complemented
119#14583131C2211yescharacteristic, complemented
120#14583127C2211yescharacteristic, complemented
121#14583126C2211yescharacteristic, 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#14583026C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583011C2211yescharacteristic, complemented
146#14583011C2211yescharacteristic, complemented
147#14583010C2211yescharacteristic
148#14583009C2211yescharacteristic
149#14583009C2211yescharacteristic, complemented
150#14583009C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic
152#14583001C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic, complemented
156#14582997C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161C4×#10621883C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic
164C4×#10621882C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582939C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582855C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, 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×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063350—24no—
215#13063349—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228D8×D43—24no—
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320D411yescharacteristic
250#13063319—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318D411yescharacteristic
254#13063317—21no—
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063314C2311yescharacteristic
262#13063313—21no—
263#13063313C2311yescharacteristic
264#13063312—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311D411yescharacteristic
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310D411yescharacteristic
273#13063309—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307D411yescharacteristic
281#13063306—21no—
282#13063306—21no—
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304C2311yescharacteristic
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303D411yescharacteristic
292#13063302—21no—
293#13063302—21no—
294#13063301C2311yescharacteristic
295#13063301C2311yescharacteristic
296#13063300—21no—
297#13063300C2311yescharacteristic
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063299—21no—
301#13063299—21no—
302#13063299—21no—
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298D411yescharacteristic
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063293—21no—
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290C2311yescharacteristic
331C4×D172—21no—
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284—21no—
362#13063284C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—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
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
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—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—22no—
539C2×D172—41no—
540C2×D172C2×D411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
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—21no—
552C2×C4×D43—21no—
553C2×C4×D43—82no—
554C2×C4×D43C2×D411yescharacteristic
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×Dic86—21no—
559C2×Dic86—21no—
560C2×Dic86C2×D411yescharacteristic
561C2×Dic86C2411yescharacteristic
562SD16×C43—41no—
563SD16×C43—41no—
564D8×C43—22no—
565D8×C43—22no—
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C42×C43—21no—
590C42×C43—21no—
591C42×C43C2411yescharacteristic
592C42×C43C2411yescharacteristic
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43C2×D411yescharacteristic
602C22⋊Dic43C2×D411yescharacteristic
603#10621884—22no—
604#10621884—22no—
605#10621883—22no—
606#10621883—41no—
607#10621882—22no—
608#10621882—22no—
609#10621882—41no—
610#10621882#4114yescomplemented
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊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)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—41no—
686#10621873—22no—
687#10621873—41no—
688#10621872—22no—
689#10621872—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—42no—
721D4×C43—81no—
722D4×C43—81no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43C2×#4112yes—
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—21no—
733C2×C4×C43—42no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C2511yescharacteristic
745C22⋊D43—41no—
746C22⋊D43—41no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—42no—
764C2×Dic43—42no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—21no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—21no—
779D172—41no—
780D172—42no—
781D172—42no—
782D172—81no—
783D172—81no—
784D172C2×#4112yes—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—41no—
790C4×D43—41no—
791C4×D43—42no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—21no—
801Dic86—21no—
802Dic86—41no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61506—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—22no—
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×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—22no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521—431no—
870#3519—431no—
871#3397—431no—
872#3389—431no—
873#3376—431no—
874#3366—431no—
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171—431no—
890#3123—431no—
891#3122—431no—
892#3119D4311yescharacteristic, complemented
893#3118—431no—
894#3115—431no—
895#3114—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—42no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—42no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556—431no—
916#556—431no—
917#555—431no—
918#554—431no—
919#554—431no—
920#553—431no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553—861no—
925#552—431no—
926#552—861no—
927#551—861no—
928#551—861no—
929#550—431no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—861no—
934#546—861no—
935#546—861no—
936D42—431no—
937D42—431no—
938D42—431no—
939#542—431no—
940#541—431no—
941#540—431no—
942#540C2×D4311yescharacteristic, complemented
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#126—861no—
952#525—861no—
953C2×#121—861no—
954#520C2×D4311yescharacteristic, complemented
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#499—431no—
963#496—431no—
964#496—431no—
965#492—431no—
966#491—431no—
967#490—431no—
968#490—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481C2×D4311yescharacteristic, complemented
982#480—431no—
983#480C2×D4311yescharacteristic, complemented
984#479C2×D4311yescharacteristic, complemented
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478C2×D4311yescharacteristic, complemented
992#476—431no—
993#475—431no—
994#474—431no—
995#474—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#463—431no—
1012#461—431no—
1013#461—431no—
1014#460—431no—
1015#460C2×D4311yescharacteristic, complemented
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459C2×D4311yescharacteristic, complemented
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449C2×D4311yescharacteristic, complemented
1027#449C2×D4311yescharacteristic, complemented
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442C2×D4311yescharacteristic, complemented
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440C2×D4311yescharacteristic, complemented
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8C2×D4311yescharacteristic, complemented
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433C2×D4311yescharacteristic, complemented
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150611yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41C22×D4311yescharacteristic
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—864no—
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124#127—431no—
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#126—861no—
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#125—431no—
1142#125—431no—
1143#125—431no—
1144#125—431no—
1145#125—861no—
1146#125—861no—
1147#125—861no—
1148#125C22×D4311yescharacteristic
1149#124—431no—
1150#124—431no—
1151#124—431no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—21no—
1158#123—21no—
1159#123—431no—
1160#123—431no—
1161#123—861no—
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—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186#121—21no—
1187#121—21no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
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#121—861no—
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—431no—
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—431no—
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×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4C22×D4311yescharacteristic
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107C22×D4311yescharacteristic
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8C22×D4311yescharacteristic
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
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#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8C22×D4311yescharacteristic
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—22no—
1367#41—41no—
1368#41—862no—
1369#41—3442no—
1370#41—3442no—
1371#41—1721no—
1372C2×Q8—431no—
1373C2×Q8—431no—
1374C2×Q8—861no—
1375C2×Q8—861no—
1376C2×Q8C23×D4311yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—862no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—3442no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
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—3442no—
1442C22×C4C23×D4311yescharacteristic
1443SD16—41no—
1444SD16—41no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—1721no—
1450SD16—1721no—
1451D8—22no—
1452D8—22no—
1453D8—434no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
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⋊C4—861no—
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—861no—
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⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4D4×D4311yescharacteristic
1558C22⋊C4D4×D4311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—431no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—431no—
1577C23—431no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—1722no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23C2×D4×D4311yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—861no—
1597Q8—861no—
1598Q8—3441no—
1599Q8—3441no—
1600Q8—1721no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—42no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—432no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—861no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—1721no—
1625D4—1722no—
1626D4—1722no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
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—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—1721no—
1676C2×C4—1721no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—432no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—861no—
1707C22—861no—
1708C22—862no—
1709C22—861no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—3444no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—42no—
1751C2—81no—
1752C2—81no—
1753C2—3441no—
1754C2—3441no—
1755C2—1721no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914807811yescharacteristic
1759C2#1914937011yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3119C2
socleC22×C43C23×D4
hypercenter#3119D43
hypocenterC43#61506
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. #19148665C2semidirect
2. #19148625C2semidirect
3. #19147610C2semidirect
4. #19147552C2semidirect
5. #19147420C2semidirect
6. #19147306C2semidirect
7. #19147201C2semidirect
8. #19147137C2semidirect
9. #19147113C2semidirect
10. #19146829C2semidirect
11. #19146793C2semidirect
12. #19146755C2semidirect
13. #19146734C2semidirect
14. #19146614C2semidirect
15. #19146575C2semidirect
16. #19146188C2semidirect
17. #19146078C2semidirect
18. #19146070C2semidirect
19. #19145280C2semidirect
20. #19145221C2semidirect
21. #19145186C2semidirect
22. #19144844C2semidirect
23. #19144835C2semidirect
24. #19144781C2semidirect
25. #19144742C2semidirect
26. #19144737C2semidirect
27. #19143578C2semidirect
28. #19143444C2semidirect
29. #19143423C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3119C2semidirect
35. #14583622C22semidirect
36. #14583621C22semidirect
38. #14583606C22semidirect
39. #14583605C22semidirect
41. #14583597C22semidirect
42. #14583596C22semidirect
45. #14583584C22semidirect
49. #14583569C22semidirect
50. #14583548C22semidirect
52. #14583544C22semidirect
55. #14583537C22semidirect
58. #14583533C22semidirect
59. #14583520C22semidirect
60. #14583507C22semidirect
66. #14583446C22semidirect
67. #14583436C22semidirect
73. #14583373C22semidirect
75. #14583371C22semidirect
76. C4×#10621900C22semidirect
77. C4×D4×D43C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583300C22semidirect
81. #14583286C22semidirect
82. #14583285C22semidirect
83. #14583270C22semidirect
84. #14583266C22semidirect
85. #14583262C22semidirect
86. #14583262C22semidirect
87. #14583260C22semidirect
88. #14583256C22semidirect
89. #14583245C22semidirect
90. #14583243C22semidirect
91. #14583241C22semidirect
92. #14583238C22semidirect
93. #14583228C22semidirect
94. #14583226C22semidirect
95. #14583225C22semidirect
96. #14583224C22semidirect
97. #14583221C22semidirect
98. #14583221C22semidirect
99. #14583214C22semidirect
100. #14583202C22semidirect
101. #14583202C22semidirect
102. #14583201C22semidirect
103. #14583201C22semidirect
104. #14583198C22semidirect
105. #14583197C22semidirect
106. #14583190C22semidirect
107. #14583183C22semidirect
108. #14583180C22semidirect
109. #14583177C22semidirect
110. #14583153C22semidirect
111. #14583151C22semidirect
112. #14583150C22semidirect
113. #14583148C22semidirect
114. #14583146C22semidirect
115. #14583143C22semidirect
116. #14583142C22semidirect
117. #14583142C22semidirect
118. #14583133C22semidirect
119. #14583131C22semidirect
120. #14583127C22semidirect
121. #14583126C22semidirect
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. #14583026C22semidirect
145. #14583011C22semidirect
146. #14583011C22semidirect
149. #14583009C22semidirect
150. #14583009C22semidirect
152. #14583001C22semidirect
153. #14582999C22semidirect
154. #14582998C22semidirect
155. #14582997C22semidirect
156. #14582997C22semidirect
157. #14582996C22semidirect
158. C4×#10621873C22semidirect
159. C4×#10621884C22semidirect
160. C4×#10621884C22semidirect
161. C4×#10621883C22semidirect
162. C4×D344C22semidirect
164. C4×#10621882C22semidirect
165. C4×#10621882C22semidirect
167. #14582979C22semidirect
168. #14582976C22semidirect
169. #14582974C22semidirect
170. #14582973C22semidirect
171. #14582969C22semidirect
172. #14582967C22semidirect
173. #14582967C22semidirect
174. #14582958C22semidirect
175. #14582954C22semidirect
176. #14582940C22semidirect
177. #14582939C22semidirect
178. #14582934C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582897C22semidirect
183. #14582895C22semidirect
184. C2×#13063245C22semidirect
185. #14582856C22semidirect
186. #14582855C22semidirect
187. C4×#10621872C22semidirect
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
610. #10621882#41semidirect
892. #3119D43semidirect
942. #540C2×D43semidirect
954. #520C2×D43semidirect
981. #481C2×D43semidirect
983. #480C2×D43semidirect
984. #479C2×D43semidirect
991. #478C2×D43semidirect
1015. #460C2×D43semidirect
1019. #459C2×D43semidirect
1026. #449C2×D43semidirect
1027. #449C2×D43semidirect
1042. #442C2×D43semidirect
1049. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1061. C4×D8C2×D43semidirect
1069. #433C2×D43semidirect
1083. C43#61506semidirect

Maximal subgroups

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

subgroupindex
#191486652
#191486252
#191476102
#191475522
#191474202
#191473062
#191472012
#191471372
#191471132
#191468292
#191467932
#191467552
#191467342
#191466142
#191465752
#191461882
#191460782
#191460702
#191452802
#191452212
#191451862
#191448442
#191448352
#191447812
#191447422
#191447372
#191435782
#191434442
#191434232
C4×#130633492
C43×#31192
#6150643