Finite Group Databasebeta

← #25988630

Subgroups — #25988630

Order 11008.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148988C211yesmaximal, characteristic, complemented
2#19148488C211yesmaximal, characteristic, complemented
3#19147642C211yesmaximal, characteristic, complemented
4#19147640C211yesmaximal, characteristic, complemented
5#19147634C211yesmaximal, characteristic, complemented
6#19147619C211yesmaximal, characteristic, complemented
7#19147612C211yesmaximal, characteristic, complemented
8#19147611C211yesmaximal, characteristic, complemented
9#19147610C211yesmaximal, characteristic, complemented
10#19147424C211yesmaximal, characteristic, complemented
11#19147423C211yesmaximal, characteristic, complemented
12#19147419C211yesmaximal, characteristic, complemented
13#19147418C211yesmaximal, characteristic, complemented
14#19147353C211yesmaximal, characteristic, complemented
15#19147352C211yesmaximal, characteristic, complemented
16#19147342C211yesmaximal, characteristic, complemented
17#19147341C211yesmaximal, characteristic, complemented
18#19145653C211yesmaximal, characteristic, complemented
19#19145651C211yesmaximal, characteristic, complemented
20#19145644C211yesmaximal, characteristic, complemented
21#19145638C211yesmaximal, characteristic, complemented
22#19145580C211yesmaximal, characteristic, complemented
23#19145577C211yesmaximal, characteristic, complemented
24#19144884C211yesmaximal, characteristic, complemented
25#19144883C211yesmaximal, characteristic, complemented
26#19144837C211yesmaximal, characteristic, complemented
27#19144836C211yesmaximal, characteristic, complemented
28#19144743C211yesmaximal, characteristic, complemented
29#19144742C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3399C211yesmaximal, characteristic, complemented
32#14583644—21no—
33#14583644—21no—
34#14583635C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583622C2211yescharacteristic
38#14583621C2211yescharacteristic
39#14583619C2211yescharacteristic
40#14583618C2211yescharacteristic
41#14583609C2211yescharacteristic, complemented
42#14583608C2211yescharacteristic, complemented
43#14583608C2211yescharacteristic, complemented
44#14583606C2211yescharacteristic, complemented
45#14583579—21no—
46#14583578—21no—
47#14583577—21no—
48#14583572—21no—
49#14583569C2211yescharacteristic, complemented
50#14583569C2211yescharacteristic, complemented
51#14583569C2211yescharacteristic, complemented
52#14583549—21no—
53#14583548—21no—
54#14583517—21no—
55#14583513—21no—
56#14583503C2211yescharacteristic
57#14583503C2211yescharacteristic
58#14583500C2211yescharacteristic
59#14583500C2211yescharacteristic
60#14583478—21no—
61#14583477—21no—
62#14583476—21no—
63#14583476—21no—
64#14583469C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583447C2211yescharacteristic
68#14583446C2211yescharacteristic
69#14583429—21no—
70#14583426—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583287C2211yescharacteristic
76#14583287C2211yescharacteristic
77#14583287C2211yescharacteristic, complemented
78#14583286C2211yescharacteristic
79#14583286C2211yescharacteristic
80#14583285C2211yescharacteristic
81#14583274C2211yescharacteristic
82#14583271C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583263C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583259C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583254C2211yescharacteristic
93#14583253C2211yescharacteristic, complemented
94#14583252C2211yescharacteristic
95#14583252C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583222C2211yescharacteristic
99#14583221C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic
105#14583200C2211yescharacteristic
106#14583199C2211yescharacteristic
107#14583198C2211yescharacteristic
108#14583185C2211yescharacteristic, complemented
109#14583183C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic, complemented
111#14583177C2211yescharacteristic, complemented
112#14583116C2211yescharacteristic
113#14583116C2211yescharacteristic
114#14583115C2211yescharacteristic
115#14583115C2211yescharacteristic
116#14583114C2211yescharacteristic
117#14583114C2211yescharacteristic
118#14583112C2211yescharacteristic
119#14583112C2211yescharacteristic
120#14583112C2211yescharacteristic
121#14583112C2211yescharacteristic
122#14583112C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic, complemented
126#14583105C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic, complemented
129#14583102C2211yescharacteristic, complemented
130#14583098C2211yescharacteristic, complemented
131#14583098C2211yescharacteristic, complemented
132#14583097C2211yescharacteristic, complemented
133#14583096C2211yescharacteristic, complemented
134#14583096C2211yescharacteristic, complemented
135#14583093C2211yescharacteristic
136#14583092C2211yescharacteristic
137#14583092C2211yescharacteristic
138#14583092C2211yescharacteristic
139#14583092C2211yescharacteristic, complemented
140#14583091C2211yescharacteristic
141#14583091C2211yescharacteristic
142#14583045C2211yescharacteristic
143#14583041C2211yescharacteristic
144#14583041C2211yescharacteristic
145#14583041C2211yescharacteristic
146#14583039C2211yescharacteristic
147#14583036C2211yescharacteristic
148#14583036C2211yescharacteristic
149#14583036C2211yescharacteristic
150#14583034C2211yescharacteristic
151#14583031C2211yescharacteristic
152#14583031C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583011C2211yescharacteristic
163#14583011C2211yescharacteristic, complemented
164#14583011C2211yescharacteristic, complemented
165#14583009C2211yescharacteristic, complemented
166#14583008C2211yescharacteristic
167#14583001C2211yescharacteristic, complemented
168#14583000C2211yescharacteristic, complemented
169#14582999C2211yescharacteristic, complemented
170#14582999C2211yescharacteristic, complemented
171#14582997C2211yescharacteristic, complemented
172#14582996C2211yescharacteristic, complemented
173#14582996C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175#14582990C2211yescharacteristic, complemented
176C4×#10621873C2211yescharacteristic, complemented
177SD16×Dic43C2211yescharacteristic, complemented
178D8×Dic43C2211yescharacteristic
179C4×#10621882C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#550C2211yescharacteristic, complemented
190C43×#496C2211yescharacteristic
191C43×#496C2211yescharacteristic, complemented
192C43×#493C2211yescharacteristic
193C43×#463C2211yescharacteristic
194C43×#463C2211yescharacteristic, complemented
195C43×#460C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#459C2211yescharacteristic
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#442C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×Q8×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324D411yescharacteristic
229#13063324C2311yescharacteristic
230#13063323D411yescharacteristic
231#13063323C2311yescharacteristic
232#13063321C2311yescharacteristic
233#13063321C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315D411yescharacteristic
249#13063315D411yescharacteristic
250#13063314C2311yescharacteristic
251#13063313C2311yescharacteristic
252#13063313C2311yescharacteristic
253#13063312—21no—
254#13063312—21no—
255#13063312C2311yescharacteristic
256#13063312C2311yescharacteristic
257#13063312C2311yescharacteristic
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063309—21no—
264#13063308—21no—
265#13063308—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063305D411yescharacteristic
280#13063304—21no—
281#13063304—21no—
282#13063304—21no—
283#13063304—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063303D411yescharacteristic
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301D411yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296—21no—
322#13063296—21no—
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063293—21no—
327#13063293—21no—
328Q8×Dic43C2311yescharacteristic
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335#13063290—21no—
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370C2×C4⋊Dic43—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C2×C4×Dic43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43—21no—
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#123×C43—21no—
453#123×C43—21no—
454#121×C43—21no—
455#121×C43—21no—
456#121×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479#41×C43—82no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522Q8×D43—41no—
523Q8×D43—41no—
524#10621900—41no—
525#10621900—41no—
526#10621900—82no—
527#10621900—82no—
528#10621900—82no—
529#10621900—82no—
530D4×D43—41no—
531D4×D43—41no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172C2411yescharacteristic
535C2×D172C2411yescharacteristic
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2411yescharacteristic
552C2×Dic86C2411yescharacteristic
553SD16×C43—41no—
554SD16×C43—41no—
555SD16×C43—41no—
556D8×C43—41no—
557D8×C43—41no—
558D8×C43—41no—
559D8×C43—41no—
560D8×C43—41no—
561D8×C43—41no—
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C4⋊C4×C43—21no—
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2×D411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C42×C43—21no—
582C42×C43C2411yescharacteristic
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
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⋊Dic43—21no—
602#10621884—41no—
603#10621883—41no—
604#10621883—41no—
605#10621883—41no—
606#10621883—41no—
607#10621883—41no—
608#10621883—41no—
609#10621882—41no—
610#10621882—41no—
611#10621882—41no—
612#10621882—41no—
613#10621882—41no—
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)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682D344—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C23×C43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—41no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—42no—
710D4×C43—81no—
711D4×C43—81no—
712D4×C43—81no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—42no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C2511yescharacteristic
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—42no—
752C2×Dic43—42no—
753C2×Dic43—42no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—81no—
772C4×D43—21no—
773C4×D43—21no—
774C4×D43—41no—
775C4×D43—41no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—41no—
787Dic86—41no—
788Dic86—41no—
789Dic86—42no—
790Dic86—81no—
791Dic86—81no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43—21no—
795C8×C43—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8—21no—
799C43⋊C8—21no—
800#61942—431nomaximal, Sylow
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43C23×D411yescharacteristic
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—162no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43#58511yescharacteristic
837C4×C43#58511yescharacteristic
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851#3548—431no—
852#3510—431no—
853#3399—431no—
854#3399—431no—
855#3399—431no—
856#3399D4311yescharacteristic, complemented
857#3397—431no—
858#3397—431no—
859#3397—431no—
860#3397—431no—
861#3376—431no—
862#3376—431no—
863#3376—431no—
864#3376—431no—
865#3370—431no—
866#3370—431no—
867#3370—431no—
868#3370—431no—
869#3221—431no—
870#3221—431no—
871#3220—431no—
872#3220—431no—
873#3213—431no—
874#3213—431no—
875#3126—431no—
876#3126—431no—
877#3122—431no—
878#3122—431no—
879#3115—431no—
880#3115—431no—
881#2987—431no—
882C2×C43—81no—
883C2×C43—81no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43#348711yescharacteristic
888C2×C43#358511yescharacteristic
889C2×C43#358511yescharacteristic
890D43—41no—
891D43—81no—
892D43—81no—
893#562—861no—
894#562—861no—
895#559—431no—
896#559—431no—
897#559—431no—
898#559C2×D4311yescharacteristic
899#556—431no—
900#556—431no—
901#556—431no—
902#556—431no—
903#554—431no—
904#554—431no—
905#554—431no—
906#554—431no—
907#551—861no—
908#551—861no—
909#551—861no—
910#551—861no—
911#550—431no—
912#550—431no—
913#550—431no—
914#550C2×D4311yescharacteristic, complemented
915#547—861no—
916#547—861no—
917#542—861no—
918#542—861no—
919#540—431no—
920#540—431no—
921#540—431no—
922#540—431no—
923#537—861no—
924#537—861no—
925#537—861no—
926#537—861no—
927#536—431no—
928#535—431no—
929#533—431no—
930#532—431no—
931#532—431no—
932#529—861no—
933#529—861no—
934C2×#124—431no—
935#519—431no—
936#518—431no—
937C4×#41—431no—
938#496—431no—
939#496—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496C2×D4311yescharacteristic
945#496C2×D4311yescharacteristic, complemented
946#493—431no—
947#493C2×D4311yescharacteristic
948#492—431no—
949#492—431no—
950#491—431no—
951#491—431no—
952#490—431no—
953#490—431no—
954#489—431no—
955#489—431no—
956#489—431no—
957#489—431no—
958#488—431no—
959#488—431no—
960#488—431no—
961#488—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#479—431no—
967#479—431no—
968#479—431no—
969#479—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#475—431no—
975#475—431no—
976#474—431no—
977#474—431no—
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#463—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463C2×D4311yescharacteristic
993#463C2×D4311yescharacteristic, complemented
994#461—431no—
995#461—431no—
996#461—431no—
997#461—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460C2×D4311yescharacteristic, complemented
1004#459—431no—
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459C2×D4311yescharacteristic
1012#459C2×D4311yescharacteristic
1013#459C2×D4311yescharacteristic, complemented
1014#449—431no—
1015#449—431no—
1016#449—431no—
1017#449—431no—
1018#448—431no—
1019#448—431no—
1020#448—431no—
1021#448—431no—
1022#447—431no—
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#446—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446C2×D4311yescharacteristic, complemented
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic
1041#442C2×D4311yescharacteristic, complemented
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16C2×D4311yescharacteristic, complemented
1054C4×D8—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058#433—431no—
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#432—431no—
1063#432—431no—
1064C43#6194211yescharacteristic, complemented, Sylow
1065C2×#41—21no—
1066C2×#41—431no—
1067C2×#41—861no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C2×#41—861no—
1072C22×Q8—431no—
1073C22×D4—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16C22×D4311yescharacteristic
1084C2×SD16C22×D4311yescharacteristic
1085C2×SD16C22×D4311yescharacteristic
1086C2×D8—431no—
1087C2×D8—431no—
1088C2×D8—431no—
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8C22×D4311yescharacteristic
1093C2×D8C22×D4311yescharacteristic
1094C2×D8C22×D4311yescharacteristic
1095C2×D8C22×D4311yescharacteristic
1096C2×D8C22×D4311yescharacteristic
1097C2×D8C22×D4311yescharacteristic
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—431no—
1104#127—431no—
1105#127—431no—
1106#127—431no—
1107#127—431no—
1108#127C22×D4311yescharacteristic
1109#127C22×D4311yescharacteristic
1110#127C22×D4311yescharacteristic
1111#127C22×D4311yescharacteristic
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#126—861no—
1118#126—861no—
1119#126—861no—
1120#125—431no—
1121#125—431no—
1122#125—431no—
1123#125—431no—
1124#125—431no—
1125#125—431no—
1126#124—21no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—431no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124C22×D4311yescharacteristic
1141#124C22×D4311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—431no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—861no—
1190#121—861no—
1191#121—861no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#120—861no—
1211#120—861no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—861no—
1221C4×Q8—861no—
1222C4×Q8C22×D4311yescharacteristic
1223C4×Q8C22×D4311yescharacteristic
1224C4×D4—21no—
1225C4×D4—431no—
1226C4×D4—431no—
1227C4×D4—431no—
1228C4×D4—431no—
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—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4C22×D4311yescharacteristic
1248C4×D4C22×D4311yescharacteristic
1249C4×D4C22×D4311yescharacteristic
1250C4×D4C22×D4311yescharacteristic
1251C4×D4C22×D4311yescharacteristic
1252#117—431no—
1253#117—431no—
1254#117—431no—
1255#117—861no—
1256#117—861no—
1257#117—861no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262C2×C4⋊C4—861no—
1263C2×C4⋊C4—861no—
1264C2×C4⋊C4—861no—
1265C2×C4⋊C4—861no—
1266C2×C22⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C42—431no—
1271C2×C42—861no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280C4⋊C8—431no—
1281C4⋊C8—431no—
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289C4⋊C8C22×D4311yescharacteristic
1290C4⋊C8C22×D4311yescharacteristic
1291C4⋊C8C22×D4311yescharacteristic
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97C22×D4311yescharacteristic
1335#97C22×D4311yescharacteristic
1336C4×C8—431no—
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8C22×D4311yescharacteristic
1340C24—861no—
1341#41—82no—
1342#41—3442no—
1343#41—3442no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—861no—
1357C2×Q8—1721no—
1358C2×Q8—1721no—
1359C2×Q8D4×D4311yescharacteristic
1360C2×Q8C23×D4311yescharacteristic
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4C23×D4311yescharacteristic
1388C2×D4C23×D4311yescharacteristic
1389C2×D4C23×D4311yescharacteristic
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4311yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415SD16—41no—
1416SD16—41no—
1417SD16—41no—
1418SD16—1721no—
1419SD16—1721no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427D8—41no—
1428D8—41no—
1429D8—41no—
1430D8—41no—
1431D8—41no—
1432D8—41no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438D8—1721no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—431no—
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C4⋊C4—21no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4D4×D4311yescharacteristic
1486C4⋊C4D4×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C42—21no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
1537C42—431no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C42C23×D4311yescharacteristic
1546C42C23×D4311yescharacteristic
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—431no—
1553C23—861no—
1554C23—861no—
1555C23—3441no—
1556C23—3441no—
1557C23—1722no—
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—3441no—
1566Q8—3441no—
1567Q8—1721no—
1568Q8—1721no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—42no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—861no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—1722no—
1605D4—1722no—
1606D4—1722no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—431no—
1618C2×C4—431no—
1619C2×C4—431no—
1620C2×C4—431no—
1621C2×C4—431no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—1721no—
1641C2×C4—1721no—
1642C2×C4—1722no—
1643C2×C4—1722no—
1644C2×C4—1722no—
1645C2×C4—1722no—
1646C2×C4—1722no—
1647C2×C4C2×D4×D4311yescharacteristic
1648C2×C4C2×D4×D4311yescharacteristic
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C24×D4311yescharacteristic
1654C8—21no—
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—861no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—861no—
1678C22—861no—
1679C22—861no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—6882no—
1687C22C22×D4×D4311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—861no—
1698C4—861no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—1721no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4#1458373411yescharacteristic
1711C4#1458373511yescharacteristic
1712C2—81no—
1713C2—81no—
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—3441no—
1718C2—3441no—
1719C2—1721no—
1720C2#1914824811yescharacteristic
1721C2#1914937011yescharacteristic
1722C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3399C2
socleC22×C43C23×D4
hypercenter#3399D43
hypocenterC43#61942
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. #19148988C2semidirect
2. #19148488C2semidirect
3. #19147642C2semidirect
4. #19147640C2semidirect
5. #19147634C2semidirect
6. #19147619C2semidirect
7. #19147612C2semidirect
8. #19147611C2semidirect
9. #19147610C2semidirect
10. #19147424C2semidirect
11. #19147423C2semidirect
12. #19147419C2semidirect
13. #19147418C2semidirect
14. #19147353C2semidirect
15. #19147352C2semidirect
16. #19147342C2semidirect
17. #19147341C2semidirect
18. #19145653C2semidirect
19. #19145651C2semidirect
20. #19145644C2semidirect
21. #19145638C2semidirect
22. #19145580C2semidirect
23. #19145577C2semidirect
24. #19144884C2semidirect
25. #19144883C2semidirect
26. #19144837C2semidirect
27. #19144836C2semidirect
28. #19144743C2semidirect
29. #19144742C2semidirect
30. #19143698C2semidirect
31. C43×#3399C2semidirect
41. #14583609C22semidirect
42. #14583608C22semidirect
43. #14583608C22semidirect
44. #14583606C22semidirect
49. #14583569C22semidirect
50. #14583569C22semidirect
51. #14583569C22semidirect
77. #14583287C22semidirect
82. #14583271C22semidirect
83. #14583270C22semidirect
84. #14583268C22semidirect
85. #14583266C22semidirect
93. #14583253C22semidirect
95. #14583252C22semidirect
100. #14583209C22semidirect
101. #14583207C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
108. #14583185C22semidirect
109. #14583183C22semidirect
110. #14583179C22semidirect
111. #14583177C22semidirect
122. #14583112C22semidirect
123. #14583112C22semidirect
125. #14583111C22semidirect
126. #14583105C22semidirect
127. #14583104C22semidirect
128. #14583102C22semidirect
129. #14583102C22semidirect
130. #14583098C22semidirect
131. #14583098C22semidirect
132. #14583097C22semidirect
133. #14583096C22semidirect
134. #14583096C22semidirect
139. #14583092C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
163. #14583011C22semidirect
164. #14583011C22semidirect
165. #14583009C22semidirect
167. #14583001C22semidirect
168. #14583000C22semidirect
169. #14582999C22semidirect
170. #14582999C22semidirect
171. #14582997C22semidirect
172. #14582996C22semidirect
173. #14582996C22semidirect
174. #14582996C22semidirect
175. #14582990C22semidirect
176. C4×#10621873C22semidirect
177. SD16×Dic43C22semidirect
189. C43×#550C22semidirect
191. C43×#496C22semidirect
194. C43×#463C22semidirect
195. C43×#460C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
201. C43×#442C22semidirect
202. C4×SD16×C43C22semidirect
856. #3399D43semidirect
914. #550C2×D43semidirect
945. #496C2×D43semidirect
993. #463C2×D43semidirect
1003. #460C2×D43semidirect
1013. #459C2×D43semidirect
1033. #446C2×D43semidirect
1041. #442C2×D43semidirect
1053. C4×SD16C2×D43semidirect
1064. C43#61942semidirect

Maximal subgroups

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

subgroupindex
#191489882
#191484882
#191476422
#191476402
#191476342
#191476192
#191476122
#191476112
#191476102
#191474242
#191474232
#191474192
#191474182
#191473532
#191473522
#191473422
#191473412
#191456532
#191456512
#191456442
#191456382
#191455802
#191455772
#191448842
#191448832
#191448372
#191448362
#191447432
#191447422
#191436982
C43×#33992
#6194243