Finite Group Databasebeta

← #25979714

Subgroups — #25979714

Order 11008.

1890 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148699C211yesmaximal, characteristic, complemented
2#19148626C211yesmaximal, characteristic, complemented
3#19147542C211yesmaximal, characteristic, complemented
4#19147342C211yesmaximal, characteristic, complemented
5#19147320C211yesmaximal, characteristic, complemented
6#19147160C211yesmaximal, characteristic, complemented
7#19147100C211yesmaximal, characteristic, complemented
8#19147100C211yesmaximal, characteristic, complemented
9#19146855C211yesmaximal, characteristic, complemented
10#19146840C211yesmaximal, characteristic, complemented
11#19146788C211yesmaximal, characteristic, complemented
12#19146743C211yesmaximal, characteristic, complemented
13#19146623C211yesmaximal, characteristic, complemented
14#19146608C211yesmaximal, characteristic, complemented
15#19146214C211yesmaximal, characteristic, complemented
16#19146089C211yesmaximal, characteristic, complemented
17#19146089C211yesmaximal, characteristic, complemented
18#19145275C211yesmaximal, characteristic, complemented
19#19145242C211yesmaximal, characteristic, complemented
20#19145187C211yesmaximal, characteristic, complemented
21#19144884C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144791C211yesmaximal, characteristic, complemented
24#19144778C211yesmaximal, characteristic, complemented
25#19144743C211yesmaximal, characteristic, complemented
26#19144732C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143449C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30#19143406C211yesmaximal, characteristic, complemented
31C43×#3399C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583633—21no—
36#14583627C2211yescharacteristic, complemented
37#14583614C2211yescharacteristic
38#14583614C2211yescharacteristic, complemented
39#14583611—21no—
40#14583609C2211yescharacteristic
41#14583599C2211yescharacteristic
42#14583599C2211yescharacteristic
43#14583599C2211yescharacteristic, complemented
44#14583598—21no—
45#14583596—21no—
46#14583590C2211yescharacteristic, complemented
47#14583586—21no—
48#14583569C2211yescharacteristic, complemented
49#14583557C2211yescharacteristic, complemented
50#14583557C2211yescharacteristic, complemented
51#14583538—21no—
52#14583538—21no—
53#14583537—21no—
54#14583534C2211yescharacteristic
55#14583534C2211yescharacteristic
56#14583534C2211yescharacteristic
57#14583518C2211yescharacteristic, complemented
58#14583513—21no—
59#14583503C2211yescharacteristic
60#14583503C2211yescharacteristic
61#14583503C2211yescharacteristic, complemented
62#14583501—21no—
63#14583481—21no—
64#14583481—21no—
65#14583447C2211yescharacteristic
66#14583436C2211yescharacteristic
67#14583429—21no—
68#14583428C2211yescharacteristic, complemented
69#14583426—21no—
70#14583406—21no—
71#121×D43—21no—
72#14583378C2211yescharacteristic, complemented
73#14583375C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583308C2211yescharacteristic, complemented
80#14583301C2211yescharacteristic, complemented
81#14583263C2211yescharacteristic, complemented
82#14583263C2211yescharacteristic, complemented
83#14583263C2211yescharacteristic, complemented
84#14583258C2211yescharacteristic, complemented
85#14583253C2211yescharacteristic, complemented
86#14583245C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583228C2211yescharacteristic, complemented
89#14583222C2211yescharacteristic, complemented
90#14583222C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic
103#14583200C2211yescharacteristic
104#14583199C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583190C2211yescharacteristic
108#14583185C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic, complemented
111#14583149C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583149C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic, complemented
115#14583149C2211yescharacteristic, complemented
116#14583142C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic, complemented
118#14583142C2211yescharacteristic, complemented
119#14583132C2211yescharacteristic, complemented
120#14583132C2211yescharacteristic, complemented
121#14583132C2211yescharacteristic, complemented
122#14583125C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583096C2211yescharacteristic, complemented
126#14583096C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic
129#14583048C2211yescharacteristic
130#14583048C2211yescharacteristic
131#14583041C2211yescharacteristic, complemented
132#14583041C2211yescharacteristic, complemented
133#14583041C2211yescharacteristic, complemented
134#14583041C2211yescharacteristic, complemented
135#14583036C2211yescharacteristic, complemented
136#14583036C2211yescharacteristic, complemented
137#14583031C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583031C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583002C2211yescharacteristic
148#14583001C2211yescharacteristic
149#14583001C2211yescharacteristic
150#14583000C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic
154#14582996C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic, complemented
157C4×#10621873C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic
161C4×#10621883C2211yescharacteristic, complemented
162D8×Dic43C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582938C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#559C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#496C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#493C2211yescharacteristic, complemented
193C43×#463C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic, complemented
195C43×#460C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
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#13063349—24no—
215#13063349—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221SD16×D43—24no—
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063323—21no—
233#13063321—21no—
234#13063320D411yescharacteristic
235#13063320D411yescharacteristic
236#13063319—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063316D411yescharacteristic
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063314D411yescharacteristic
251#13063312—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063310—21no—
260#13063310D411yescharacteristic
261#13063310D411yescharacteristic
262#13063309—21no—
263#13063308—21no—
264#13063308—21no—
265#13063308—21no—
266#13063307—21no—
267#13063306—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063306—21no—
272#13063306—21no—
273#13063303—21no—
274#13063303—21no—
275#13063302—21no—
276#13063302—21no—
277#13063302—21no—
278#13063301—21no—
279#13063301D411yescharacteristic
280#13063301C2311yescharacteristic
281#13063301C2311yescharacteristic
282#13063300D411yescharacteristic
283#13063299—21no—
284#13063299—21no—
285#13063298—21no—
286#13063298—21no—
287#13063298—21no—
288#13063298—21no—
289#13063298—21no—
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063297—21no—
298#13063296—21no—
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296C2311yescharacteristic
303#13063296C2311yescharacteristic
304#13063296C2311yescharacteristic
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063293—21no—
313#13063293—21no—
314#13063293—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287C2311yescharacteristic
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284—21no—
357#13063284—21no—
358#13063283—21no—
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#127×C43C2311yescharacteristic
451#127×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457#121×C43—21no—
458#121×C43—21no—
459#121×C43—21no—
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484#41×C43—82no—
485C2×Q8×C43C2×D411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—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⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527Q8×D43—22no—
528Q8×D43—41no—
529#10621900—22no—
530#10621900—22no—
531#10621900—41no—
532#10621900—41no—
533#10621900—82no—
534D4×D43—22no—
535D4×D43—22no—
536D4×D43—22no—
537D4×D43—41no—
538D4×D43—41no—
539D4×D43—41no—
540D4×D43—82no—
541D4×D43—82no—
542D4×D43—82no—
543C2×D172C2×D411yescharacteristic
544C2×D172C2×D411yescharacteristic
545C2×D172C2×D411yescharacteristic
546C2×D172C2411yescharacteristic
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—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86C2411yescharacteristic
564SD16×C43—22no—
565SD16×C43—41no—
566SD16×C43—41no—
567D8×C43—22no—
568D8×C43—22no—
569D8×C43—41no—
570D8×C43—41no—
571D8×C43—41no—
572D8×C43—41no—
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C42×C43—21no—
593C42×C43C2411yescharacteristic
594C42×C43C2411yescharacteristic
595C42×C43C2411yescharacteristic
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611#10621884—22no—
612#10621883—22no—
613#10621883—22no—
614#10621883—22no—
615#10621882—22no—
616#10621882—22no—
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)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685#10621873#4114yescomplemented
686#10621872—22no—
687#10621872—22no—
688#10621872—41no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—41no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×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×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—42no—
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×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—42no—
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—
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—21no—
767C2×Dic43—21no—
768C2×Dic43—42no—
769C2×Dic43—42no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774C2×Dic43—81no—
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780D172—21no—
781D172—41no—
782D172—41no—
783D172—41no—
784D172C2×#4112yes—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—41no—
792C4×D43—41no—
793C4×D43—42no—
794C4×D43—42no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—21no—
801Dic86—42no—
802Dic86—81no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61504—431nomaximal, Sylow
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43C23×D411yescharacteristic
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—22no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—21no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—22no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399D4311yescharacteristic, complemented
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—81no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—41no—
910D43—42no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—861no—
915#559C2×D4311yescharacteristic, complemented
916#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550C2×D4311yescharacteristic
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518—431no—
957C4×#41—431no—
958C2×C4×D4—431no—
959#501—431no—
960#501—431no—
961#499—431no—
962#496C2×D4311yescharacteristic, complemented
963#496C2×D4311yescharacteristic, complemented
964#493C2×D4311yescharacteristic, complemented
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#476—431no—
992#475—431no—
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463C2×D4311yescharacteristic, complemented
1010#463C2×D4311yescharacteristic, complemented
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460C2×D4311yescharacteristic, complemented
1015#459—431no—
1016#459C2×D4311yescharacteristic, complemented
1017#459C2×D4311yescharacteristic, complemented
1018#459C2×D4311yescharacteristic, complemented
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446—431no—
1032#446C2×D4311yescharacteristic, complemented
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442C2×D4311yescharacteristic, complemented
1039#442C2×D4311yescharacteristic, complemented
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16C2×D4311yescharacteristic, complemented
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405—431no—
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—21no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C22×Q8—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—864no—
1103C2×SD16C22×D4311yescharacteristic
1104C2×SD16C22×D4311yescharacteristic
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8C22×D4311yescharacteristic
1109C2×D8C22×D4311yescharacteristic
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C22×C8—431no—
1119C22×C8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123#127—861no—
1124#127C22×D4311yescharacteristic
1125#127C22×D4311yescharacteristic
1126#127C22×D4311yescharacteristic
1127#127C22×D4311yescharacteristic
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—431no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#124—21no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124C22×D4311yescharacteristic
1155#124C22×D4311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—431no—
1159#123—431no—
1160#123—861no—
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—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
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#121—861no—
1212#121—861no—
1213#121—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8C22×D4311yescharacteristic
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—431no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280C2×C4⋊C4—431no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—861no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#107—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103C22×D4311yescharacteristic
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356#97C22×D4311yescharacteristic
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C24—861no—
1362C24—861no—
1363C24—861no—
1364#41—82no—
1365#41—862no—
1366#41—862no—
1367#41—3442no—
1368#41—1721no—
1369#41—1721no—
1370C2×Q8—431no—
1371C2×Q8—861no—
1372C2×Q8—861no—
1373C2×Q8—861no—
1374C2×Q8—862no—
1375C2×Q8—1721no—
1376C2×Q8D4×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—862no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
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—3442no—
1409C2×D4—3442no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C2×D4C23×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—3442no—
1444SD16—22no—
1445SD16—41no—
1446SD16—41no—
1447SD16—434no—
1448SD16—862no—
1449SD16—862no—
1450SD16—862no—
1451SD16—862no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—41no—
1457D8—41no—
1458D8—862no—
1459D8—862no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463M16—1721no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—862no—
1469C2×C8—1721no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
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—861no—
1489C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
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—
1556C42—21no—
1557C42—431no—
1558C42—431no—
1559C42—431no—
1560C42—861no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—431no—
1578C23—431no—
1579C23—431no—
1580C23—861no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587C23—1722no—
1588C23—1722no—
1589C23—1722no—
1590Q8—21no—
1591Q8—21no—
1592Q8—41no—
1593Q8—432no—
1594Q8—861no—
1595Q8—3441no—
1596Q8—3441no—
1597Q8—1722no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—432no—
1617D4—861no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—1721no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—1721no—
1673C2×C4—1721no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8#41×D4312yes—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—862no—
1712C22—861no—
1713C22—861no—
1714C22—861no—
1715C22—861no—
1716C22—861no—
1717C22—861no—
1718C22—3444no—
1719C22—1721no—
1720C22—1721no—
1721C22—6882no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—862no—
1737C4—861no—
1738C4—861no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373411yescharacteristic
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—1721no—
1753C2—1721no—
1754C2—1721no—
1755C2—1722no—
1756C2#1914808511yescharacteristic
1757C2#1914937011yescharacteristic
1758C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3399C2
socleC22×C43C23×D4
hypercenter#3399D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3399

Complements

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

NH ≅ G/Ntype
1. #19148699C2semidirect
2. #19148626C2semidirect
3. #19147542C2semidirect
4. #19147342C2semidirect
5. #19147320C2semidirect
6. #19147160C2semidirect
7. #19147100C2semidirect
8. #19147100C2semidirect
9. #19146855C2semidirect
10. #19146840C2semidirect
11. #19146788C2semidirect
12. #19146743C2semidirect
13. #19146623C2semidirect
14. #19146608C2semidirect
15. #19146214C2semidirect
16. #19146089C2semidirect
17. #19146089C2semidirect
18. #19145275C2semidirect
19. #19145242C2semidirect
20. #19145187C2semidirect
21. #19144884C2semidirect
22. #19144836C2semidirect
23. #19144791C2semidirect
24. #19144778C2semidirect
25. #19144743C2semidirect
26. #19144732C2semidirect
27. #19143579C2semidirect
28. #19143449C2semidirect
29. #19143424C2semidirect
30. #19143406C2semidirect
31. C43×#3399C2semidirect
36. #14583627C22semidirect
38. #14583614C22semidirect
43. #14583599C22semidirect
46. #14583590C22semidirect
48. #14583569C22semidirect
49. #14583557C22semidirect
50. #14583557C22semidirect
57. #14583518C22semidirect
61. #14583503C22semidirect
68. #14583428C22semidirect
72. #14583378C22semidirect
73. #14583375C22semidirect
76. C4×#10621900C22semidirect
78. #14583308C22semidirect
79. #14583308C22semidirect
80. #14583301C22semidirect
81. #14583263C22semidirect
82. #14583263C22semidirect
83. #14583263C22semidirect
84. #14583258C22semidirect
85. #14583253C22semidirect
86. #14583245C22semidirect
87. #14583238C22semidirect
88. #14583228C22semidirect
89. #14583222C22semidirect
90. #14583222C22semidirect
91. #14583222C22semidirect
92. #14583222C22semidirect
93. #14583222C22semidirect
94. #14583221C22semidirect
95. #14583221C22semidirect
96. #14583216C22semidirect
97. #14583211C22semidirect
98. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583207C22semidirect
101. #14583206C22semidirect
104. #14583199C22semidirect
105. #14583199C22semidirect
106. #14583199C22semidirect
108. #14583185C22semidirect
109. #14583179C22semidirect
110. #14583179C22semidirect
111. #14583149C22semidirect
112. #14583149C22semidirect
113. #14583149C22semidirect
114. #14583149C22semidirect
115. #14583149C22semidirect
116. #14583142C22semidirect
117. #14583142C22semidirect
118. #14583142C22semidirect
119. #14583132C22semidirect
120. #14583132C22semidirect
121. #14583132C22semidirect
122. #14583125C22semidirect
125. #14583096C22semidirect
126. #14583096C22semidirect
127. #14583096C22semidirect
131. #14583041C22semidirect
132. #14583041C22semidirect
133. #14583041C22semidirect
134. #14583041C22semidirect
135. #14583036C22semidirect
136. #14583036C22semidirect
141. #14583030C22semidirect
142. #14583011C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
150. #14583000C22semidirect
151. #14582999C22semidirect
152. #14582999C22semidirect
154. #14582996C22semidirect
155. #14582996C22semidirect
156. #14582990C22semidirect
158. SD16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
161. C4×#10621883C22semidirect
162. D8×Dic43C22semidirect
163. D8×Dic43C22semidirect
164. D8×Dic43C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582938C22semidirect
177. #14582938C22semidirect
178. #14582934C22semidirect
179. #14582906C22semidirect
182. #14582897C22semidirect
183. #14582892C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
188. C43×#559C22semidirect
190. C43×#496C22semidirect
191. C43×#496C22semidirect
192. C43×#493C22semidirect
193. C43×#463C22semidirect
194. C43×#463C22semidirect
195. C43×#460C22semidirect
196. C43×#459C22semidirect
197. C43×#459C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C4×SD16×C43C22semidirect
685. #10621873#41semidirect
870. #3399D43semidirect
915. #559C2×D43semidirect
962. #496C2×D43semidirect
963. #496C2×D43semidirect
964. #493C2×D43semidirect
1009. #463C2×D43semidirect
1010. #463C2×D43semidirect
1014. #460C2×D43semidirect
1016. #459C2×D43semidirect
1017. #459C2×D43semidirect
1018. #459C2×D43semidirect
1032. #446C2×D43semidirect
1038. #442C2×D43semidirect
1039. #442C2×D43semidirect
1055. C4×SD16C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191486992
#191486262
#191475422
#191473422
#191473202
#191471602
#191471002
#191468552
#191468402
#191467882
#191467432
#191466232
#191466082
#191462142
#191460892
#191452752
#191452422
#191451872
#191448842
#191448362
#191447912
#191447782
#191447432
#191447322
#191435792
#191434492
#191434242
#191434062
C43×#33992
#6150443