Finite Group Databasebeta

← #25988685

Subgroups — #25988685

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149096C211yesmaximal, characteristic, complemented
2#19148465C211yesmaximal, characteristic, complemented
3#19147681C211yesmaximal, characteristic, complemented
4#19147678C211yesmaximal, characteristic, complemented
5#19147666C211yesmaximal, characteristic, complemented
6#19147663C211yesmaximal, characteristic, complemented
7#19147640C211yesmaximal, characteristic, complemented
8#19147638C211yesmaximal, characteristic, complemented
9#19147619C211yesmaximal, characteristic, complemented
10#19147611C211yesmaximal, characteristic, complemented
11#19147370C211yesmaximal, characteristic, complemented
12#19147358C211yesmaximal, characteristic, complemented
13#19147348C211yesmaximal, characteristic, complemented
14#19147346C211yesmaximal, characteristic, complemented
15#19147329C211yesmaximal, characteristic, complemented
16#19147327C211yesmaximal, characteristic, complemented
17#19147299C211yesmaximal, characteristic, complemented
18#19145692C211yesmaximal, characteristic, complemented
19#19145686C211yesmaximal, characteristic, complemented
20#19145668C211yesmaximal, characteristic, complemented
21#19145644C211yesmaximal, characteristic, complemented
22#19145614C211yesmaximal, characteristic, complemented
23#19145612C211yesmaximal, characteristic, complemented
24#19144849C211yesmaximal, characteristic, complemented
25#19144837C211yesmaximal, characteristic, complemented
26#19144784C211yesmaximal, characteristic, complemented
27#19144775C211yesmaximal, characteristic, complemented
28#19144709C211yesmaximal, characteristic, complemented
29#19144700C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3366C211yesmaximal, characteristic, complemented
32#14583650—21no—
33#14583650—21no—
34#14583635C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583632C2211yescharacteristic
38#14583632C2211yescharacteristic, complemented
39#14583632C2211yescharacteristic, complemented
40#14583626C2211yescharacteristic, complemented
41#14583624C2211yescharacteristic, complemented
42#14583622C2211yescharacteristic, complemented
43#14583619C2211yescharacteristic, complemented
44#14583605C2211yescharacteristic, complemented
45#14583584—21no—
46#14583583—21no—
47#14583570C2211yescharacteristic
48#14583569C2211yescharacteristic
49#14583569C2211yescharacteristic
50#14583546—21no—
51#14583538—21no—
52#14583538—21no—
53#14583537—21no—
54#14583523C2211yescharacteristic
55#14583522—21no—
56#14583519—21no—
57#14583514C2211yescharacteristic
58#14583512C2211yescharacteristic
59#14583500C2211yescharacteristic
60#14583499—21no—
61#14583499—21no—
62#14583496—21no—
63#14583495—21no—
64#14583462C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583453C2211yescharacteristic
67#14583445—21no—
68#14583444—21no—
69#127×D43C2211yescharacteristic
70#14583434C2211yescharacteristic
71#14583431C2211yescharacteristic
72#14583371C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583293C2211yescharacteristic, complemented
76#14583288C2211yescharacteristic
77#14583287C2211yescharacteristic
78#14583287C2211yescharacteristic
79#14583287C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic, complemented
81#14583286C2211yescharacteristic
82#14583286C2211yescharacteristic, complemented
83#14583283C2211yescharacteristic, complemented
84#14583282C2211yescharacteristic, complemented
85#14583274C2211yescharacteristic, complemented
86#14583271C2211yescharacteristic, complemented
87#14583265C2211yescharacteristic
88#14583262C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583262C2211yescharacteristic, complemented
91#14583261C2211yescharacteristic, complemented
92#14583257C2211yescharacteristic, complemented
93#14583256C2211yescharacteristic, complemented
94#14583252C2211yescharacteristic, complemented
95#14583244C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583242C2211yescharacteristic
98#14583225C2211yescharacteristic
99#14583222C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583198C2211yescharacteristic, complemented
105#14583196C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583176C2211yescharacteristic, complemented
109#14583122C2211yescharacteristic, complemented
110#14583122C2211yescharacteristic, complemented
111#14583120C2211yescharacteristic, complemented
112#14583120C2211yescharacteristic, complemented
113#14583120C2211yescharacteristic, complemented
114#14583120C2211yescharacteristic, complemented
115#14583115C2211yescharacteristic, complemented
116#14583115C2211yescharacteristic, complemented
117#14583114C2211yescharacteristic, complemented
118#14583114C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic, complemented
120#14583114C2211yescharacteristic, complemented
121#14583113C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic, complemented
123#14583112C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic, complemented
125#14583105C2211yescharacteristic, complemented
126#14583104C2211yescharacteristic, complemented
127#14583100C2211yescharacteristic
128#14583098C2211yescharacteristic
129#14583098C2211yescharacteristic
130#14583098C2211yescharacteristic, complemented
131#14583098C2211yescharacteristic, complemented
132#14583098C2211yescharacteristic, complemented
133#14583096C2211yescharacteristic
134#14583096C2211yescharacteristic, complemented
135#14583094C2211yescharacteristic
136#14583093C2211yescharacteristic
137#14583093C2211yescharacteristic
138#14583093C2211yescharacteristic, complemented
139#14583093C2211yescharacteristic, complemented
140#14583092C2211yescharacteristic, complemented
141#14583091C2211yescharacteristic, complemented
142#14583062C2211yescharacteristic
143#14583062C2211yescharacteristic
144#14583051C2211yescharacteristic
145#14583051C2211yescharacteristic
146#14583051C2211yescharacteristic
147#14583051C2211yescharacteristic
148#14583045C2211yescharacteristic
149#14583041C2211yescharacteristic
150#14583034C2211yescharacteristic
151#14583034C2211yescharacteristic
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, complemented
162#14583010C2211yescharacteristic, complemented
163#14583009C2211yescharacteristic, complemented
164#14583008C2211yescharacteristic, complemented
165#14583007C2211yescharacteristic, complemented
166#14583005C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic, complemented
168#14582999C2211yescharacteristic, complemented
169#14582999C2211yescharacteristic, complemented
170#14582998C2211yescharacteristic, complemented
171#14582998C2211yescharacteristic, complemented
172#14582996C2211yescharacteristic, complemented
173#14582996C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175#14582990C2211yescharacteristic, complemented
176C4×#10621873C2211yescharacteristic, complemented
177#14582986C2211yescharacteristic, complemented
178#14582986C2211yescharacteristic, complemented
179C4×#10621882C2211yescharacteristic, complemented
180C4×#10621882C2211yescharacteristic, complemented
181#14582979C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#554C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#490C2211yescharacteristic
191C43×#490C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#459C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621882C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324—21no—
234#13063324D411yescharacteristic
235#13063324C2311yescharacteristic
236#13063323—21no—
237#13063323D411yescharacteristic
238#13063322C2311yescharacteristic
239#13063321—21no—
240#13063321—21no—
241#13063321C2311yescharacteristic
242#13063321C2311yescharacteristic
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063316—21no—
257#13063316—21no—
258#13063316C2311yescharacteristic
259#13063316C2311yescharacteristic
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315D411yescharacteristic
265#13063315D411yescharacteristic
266#13063314—21no—
267#13063314—21no—
268#13063313C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063313C2311yescharacteristic
271#13063313C2311yescharacteristic
272#13063312—21no—
273#13063312C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063312C2311yescharacteristic
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063308—21no—
287#13063308—21no—
288#13063308—21no—
289#13063308—21no—
290#13063308—21no—
291#13063308—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063306—21no—
299#13063306—21no—
300#13063305—21no—
301#13063305D411yescharacteristic
302#13063305C2311yescharacteristic
303#13063305C2311yescharacteristic
304#13063304—21no—
305#13063304—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303D411yescharacteristic
309#13063303D411yescharacteristic
310#13063301—21no—
311#13063301—21no—
312#13063301D411yescharacteristic
313#13063300C2311yescharacteristic
314#13063299—21no—
315#13063299—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063296—21no—
328#13063296—21no—
329#13063296C2311yescharacteristic
330#13063293—21no—
331#13063293—21no—
332#13063293—21no—
333#13063293—21no—
334Q8×Dic43—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350D4×Dic43—21no—
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287—21no—
355#13063287—21no—
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371#13063284—21no—
372#13063284—21no—
373#13063283—21no—
374#13063283—21no—
375#13063283C2311yescharacteristic
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379C4⋊C4×D43—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C42×D43C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
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×D8×C43C2311yescharacteristic
437C2×D8×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C4⋊Q8×C43C2311yescharacteristic
440#127×C43C2311yescharacteristic
441#127×C43C2311yescharacteristic
442#127×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448#121×C43—21no—
449#121×C43—21no—
450#121×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C2×C4⋊C4×C43—21no—
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#102×C43C2311yescharacteristic
466#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×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—
479C23×D43—21no—
480#41×C43—82no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2×D411yescharacteristic
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×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C2×C22⋊D43—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—
517#10621900—41no—
518#10621900—41no—
519#10621900—82no—
520#10621900—82no—
521D4×D43—41no—
522D4×D43—41no—
523D4×D43—41no—
524D4×D43—41no—
525D4×D43—82no—
526D4×D43—82no—
527#10621898—82no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172C2411yescharacteristic
532C2×D172C2411yescharacteristic
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551D8×C43—41no—
552D8×C43—41no—
553D8×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591#10621883—41no—
592#10621883—41no—
593#10621883—41no—
594#10621883—41no—
595#10621883—41no—
596#10621883—41no—
597#10621883—41no—
598#10621882—41no—
599#10621882—41no—
600#10621882—41no—
601#10621882—41no—
602#10621882—41no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676Dic172—41no—
677Dic172—41no—
678D344—41no—
679D344—41no—
680#10621873—41no—
681#10621873—41no—
682#10621873—41no—
683#10621873—41no—
684#10621873—41no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—42no—
693C22×D43—42no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—41no—
700Q8×C43—81no—
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—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—42no—
720C2×C4×C43—81no—
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—42no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—42no—
752C2×Dic43—42no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—42no—
769D172—81no—
770D172—81no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—41no—
774C4×D43—41no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—21no—
787Dic86—21no—
788Dic86—41no—
789Dic86—41no—
790Dic86—41no—
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#61945—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×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—162no—
827C2×D43—162no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—21no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43#58511yescharacteristic
839C4×C43#58511yescharacteristic
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852#3557—431no—
853#3508—431no—
854#3403—431no—
855#3403—431no—
856#3401—431no—
857#3401—431no—
858#3399—431no—
859#3399—431no—
860#3397—431no—
861#3397—431no—
862#3371—431no—
863#3371—431no—
864#3370—431no—
865#3370—431no—
866#3368—431no—
867#3368—431no—
868#3366—431no—
869#3366D4311yescharacteristic, complemented
870#3224—431no—
871#3224—431no—
872#3222—431no—
873#3220—431no—
874#3217—431no—
875#3217—431no—
876#3123—431no—
877#3122—431no—
878#3118—431no—
879#3118—431no—
880#3111—431no—
881#3111—431no—
882#2987—431no—
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—
893D43—81no—
894#563—861no—
895#563—861no—
896#559—431no—
897#559—431no—
898#559—431no—
899#559—431no—
900#559—431no—
901#559—431no—
902#557—431no—
903#557—431no—
904#556—431no—
905#556—431no—
906#554—431no—
907#554C2×D4311yescharacteristic, complemented
908#552—861no—
909#552—861no—
910#550—431no—
911#550—431no—
912#550—431no—
913#550C2×D4311yescharacteristic
914#546—861no—
915#546—861no—
916#546—861no—
917#546—861no—
918#542—431no—
919#542—431no—
920#542—861no—
921#542—861no—
922#541—431no—
923#540—431no—
924#540—861no—
925#540—861no—
926#539—861no—
927#539—861no—
928#535—431no—
929#535—431no—
930#533—431no—
931#532—861no—
932#532—861no—
933C2×#127—431no—
934#529—431no—
935#529—431no—
936#518—431no—
937#518—431no—
938C4×#41—431no—
939#497—431no—
940#496—431no—
941#496—431no—
942#496—431no—
943#496—431no—
944#496—431no—
945#496—431no—
946#496—431no—
947#495—431no—
948#495—431no—
949#493—431no—
950#492—431no—
951#490—431no—
952#490—431no—
953#490—431no—
954#490—431no—
955#490C2×D4311yescharacteristic
956#490C2×D4311yescharacteristic, complemented
957#489—431no—
958#489—431no—
959#488—431no—
960#488—431no—
961#486—431no—
962#486C2×D4311yescharacteristic, complemented
963#485—431no—
964#485—431no—
965#482—431no—
966#482—431no—
967#479—431no—
968#479—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478C2×D4311yescharacteristic, complemented
974#478C2×D4311yescharacteristic, complemented
975#476—431no—
976#476C2×D4311yescharacteristic, complemented
977#474—431no—
978#474—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#463—431no—
992#463—431no—
993#463—431no—
994#463—431no—
995#461—431no—
996#461—431no—
997#460—431no—
998#460—431no—
999#460—431no—
1000#460—431no—
1001#460—431no—
1002#460—431no—
1003#460—431no—
1004#460—431no—
1005#459—431no—
1006#459—431no—
1007#459—431no—
1008#459—431no—
1009#459—431no—
1010#459—431no—
1011#459—431no—
1012#459C2×D4311yescharacteristic
1013#459C2×D4311yescharacteristic, complemented
1014#459C2×D4311yescharacteristic, complemented
1015#452—431no—
1016#452—431no—
1017#450—431no—
1018#450—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#447—431no—
1024#447—431no—
1025#447—431no—
1026#447—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446—431no—
1031#446—431no—
1032#446—431no—
1033#446—431no—
1034#446C2×D4311yescharacteristic, complemented
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442C2×D4311yescharacteristic, complemented
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8C2×D4311yescharacteristic, complemented
1059#433—431no—
1060#433—431no—
1061#433—431no—
1062#433—431no—
1063#432—431no—
1064#432—431no—
1065C43#6194511yescharacteristic, complemented, Sylow
1066C2×#41—21no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—861no—
1071C22×D4—431no—
1072C22×D4—431no—
1073C22×D4—861no—
1074C22×D4—861no—
1075C2×Q16—431no—
1076C2×Q16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—431no—
1088C2×SD16—431no—
1089C2×D8—431no—
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×D8—431no—
1095C2×D8—431no—
1096C2×D8C22×D4311yescharacteristic
1097C2×D8C22×D4311yescharacteristic
1098C2×D8C22×D4311yescharacteristic
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—861no—
1104C4⋊Q8—861no—
1105C4⋊Q8C22×D4311yescharacteristic
1106#127—431no—
1107#127—431no—
1108#127—431no—
1109#127—431no—
1110#127—431no—
1111#127—431no—
1112#127—861no—
1113#127—861no—
1114#127C22×D4311yescharacteristic
1115#127C22×D4311yescharacteristic
1116#127C22×D4311yescharacteristic
1117#126—861no—
1118#126—861no—
1119#126—861no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#125—431no—
1128#125—431no—
1129#125—431no—
1130#125—431no—
1131#125—861no—
1132#125—861no—
1133#125—861no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125C22×D4311yescharacteristic
1138#125C22×D4311yescharacteristic
1139#124—431no—
1140#124—431no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
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—
1172#123—861no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—431no—
1193#121—431no—
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#120—861no—
1210#120—861no—
1211#120—861no—
1212#120—861no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
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—861no—
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×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4C22×D4311yescharacteristic
1252C4×D4C22×D4311yescharacteristic
1253C4×D4C22×D4311yescharacteristic
1254C4×D4C22×D4311yescharacteristic
1255C4×D4C22×D4311yescharacteristic
1256C4×D4C22×D4311yescharacteristic
1257#117—431no—
1258#117—431no—
1259#117—431no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C22⋊C4—861no—
1270C2×C22⋊C4—861no—
1271C2×C42—431no—
1272C2×C42—861no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
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⋊C8—431no—
1290C4⋊C8C22×D4311yescharacteristic
1291C4⋊C8C22×D4311yescharacteristic
1292C4⋊C8C22×D4311yescharacteristic
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#102—431no—
1302#102—431no—
1303#102—431no—
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#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321#102C22×D4311yescharacteristic
1322#102C22×D4311yescharacteristic
1323#102C22×D4311yescharacteristic
1324#102C22×D4311yescharacteristic
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327C22⋊C8—431no—
1328C22⋊C8—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97C22×D4311yescharacteristic
1336#97C22×D4311yescharacteristic
1337C4×C8—431no—
1338C4×C8—431no—
1339C4×C8—431no—
1340C4×C8C22×D4311yescharacteristic
1341C24—861no—
1342C24—861no—
1343#41—82no—
1344#41—3442no—
1345#41—3442no—
1346#41—3442no—
1347#41—1721no—
1348#41—1721no—
1349C2×Q8—21no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—431no—
1353C2×Q8—431no—
1354C2×Q8—431no—
1355C2×Q8—431no—
1356C2×Q8—861no—
1357C2×Q8D4×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
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—3442no—
1385C2×D4—3442no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4311yescharacteristic
1392C2×D4C23×D4311yescharacteristic
1393C2×D4C23×D4311yescharacteristic
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
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—
1414Q16—1721no—
1415Q16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418SD16—1721no—
1419SD16—1721no—
1420SD16—1721no—
1421SD16—1721no—
1422SD16—1721no—
1423SD16—1721no—
1424SD16—1721no—
1425SD16—1721no—
1426SD16—1721no—
1427SD16—1721no—
1428D8—41no—
1429D8—41no—
1430D8—41no—
1431D8—1721no—
1432D8—1721no—
1433D8—1721no—
1434D8—1721no—
1435D8—1721no—
1436D8—1721no—
1437D8—1721no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
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—431no—
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⋊C4D4×D4311yescharacteristic
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4D4×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C4⋊C4C23×D4311yescharacteristic
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
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—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42C23×D4311yescharacteristic
1546C42C23×D4311yescharacteristic
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—431no—
1553C23—861no—
1554C23—861no—
1555C23—861no—
1556C23—3441no—
1557C23—3441no—
1558C23—3441no—
1559C23—3441no—
1560C23—1722no—
1561C23—1722no—
1562Q8—41no—
1563Q8—81no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569Q8—861no—
1570Q8—3441no—
1571Q8—1721no—
1572Q8—1721no—
1573Q8—1721no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—861no—
1589D4—861no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—861no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608D4—1722no—
1609D4—1722no—
1610D4—1722no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—431no—
1627C2×C4—431no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1722no—
1647C2×C4—1722no—
1648C2×C4C2×D4×D4311yescharacteristic
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
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—861no—
1676C22—861no—
1677C22—861no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—6882no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4#1458373511yescharacteristic
1713C4#1458373611yescharacteristic
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—3441no—
1719C2—3441no—
1720C2—3441no—
1721C2—1721no—
1722C2#1914825211yescharacteristic
1723C2#1914937011yescharacteristic
1724C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3366C2
socleC22×C43C23×D4
hypercenter#3366D43
hypocenterC43#61945
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #19149096C2semidirect
2. #19148465C2semidirect
3. #19147681C2semidirect
4. #19147678C2semidirect
5. #19147666C2semidirect
6. #19147663C2semidirect
7. #19147640C2semidirect
8. #19147638C2semidirect
9. #19147619C2semidirect
10. #19147611C2semidirect
11. #19147370C2semidirect
12. #19147358C2semidirect
13. #19147348C2semidirect
14. #19147346C2semidirect
15. #19147329C2semidirect
16. #19147327C2semidirect
17. #19147299C2semidirect
18. #19145692C2semidirect
19. #19145686C2semidirect
20. #19145668C2semidirect
21. #19145644C2semidirect
22. #19145614C2semidirect
23. #19145612C2semidirect
24. #19144849C2semidirect
25. #19144837C2semidirect
26. #19144784C2semidirect
27. #19144775C2semidirect
28. #19144709C2semidirect
29. #19144700C2semidirect
30. #19143698C2semidirect
31. C43×#3366C2semidirect
38. #14583632C22semidirect
39. #14583632C22semidirect
40. #14583626C22semidirect
41. #14583624C22semidirect
42. #14583622C22semidirect
43. #14583619C22semidirect
44. #14583605C22semidirect
75. #14583293C22semidirect
79. #14583287C22semidirect
80. #14583287C22semidirect
82. #14583286C22semidirect
83. #14583283C22semidirect
84. #14583282C22semidirect
85. #14583274C22semidirect
86. #14583271C22semidirect
90. #14583262C22semidirect
91. #14583261C22semidirect
92. #14583257C22semidirect
93. #14583256C22semidirect
94. #14583252C22semidirect
95. #14583244C22semidirect
100. #14583209C22semidirect
101. #14583203C22semidirect
102. #14583201C22semidirect
103. #14583201C22semidirect
104. #14583198C22semidirect
105. #14583196C22semidirect
106. #14583187C22semidirect
107. #14583178C22semidirect
108. #14583176C22semidirect
109. #14583122C22semidirect
110. #14583122C22semidirect
111. #14583120C22semidirect
112. #14583120C22semidirect
113. #14583120C22semidirect
114. #14583120C22semidirect
115. #14583115C22semidirect
116. #14583115C22semidirect
117. #14583114C22semidirect
118. #14583114C22semidirect
119. #14583114C22semidirect
120. #14583114C22semidirect
121. #14583113C22semidirect
122. #14583113C22semidirect
123. #14583112C22semidirect
124. #14583112C22semidirect
125. #14583105C22semidirect
126. #14583104C22semidirect
130. #14583098C22semidirect
131. #14583098C22semidirect
132. #14583098C22semidirect
134. #14583096C22semidirect
138. #14583093C22semidirect
139. #14583093C22semidirect
140. #14583092C22semidirect
141. #14583091C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583012C22semidirect
162. #14583010C22semidirect
163. #14583009C22semidirect
164. #14583008C22semidirect
165. #14583007C22semidirect
166. #14583005C22semidirect
167. #14582999C22semidirect
168. #14582999C22semidirect
169. #14582999C22semidirect
170. #14582998C22semidirect
171. #14582998C22semidirect
172. #14582996C22semidirect
173. #14582996C22semidirect
174. #14582996C22semidirect
175. #14582990C22semidirect
176. C4×#10621873C22semidirect
177. #14582986C22semidirect
178. #14582986C22semidirect
179. C4×#10621882C22semidirect
180. C4×#10621882C22semidirect
181. #14582979C22semidirect
188. C43×#554C22semidirect
191. C43×#490C22semidirect
192. C43×#486C22semidirect
193. C43×#478C22semidirect
194. C43×#478C22semidirect
195. C43×#476C22semidirect
197. C43×#459C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C4×D8×C43C22semidirect
869. #3366D43semidirect
907. #554C2×D43semidirect
956. #490C2×D43semidirect
962. #486C2×D43semidirect
973. #478C2×D43semidirect
974. #478C2×D43semidirect
976. #476C2×D43semidirect
1013. #459C2×D43semidirect
1014. #459C2×D43semidirect
1034. #446C2×D43semidirect
1039. #442C2×D43semidirect
1040. #442C2×D43semidirect
1058. C4×D8C2×D43semidirect
1065. C43#61945semidirect

Maximal subgroups

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

subgroupindex
#191490962
#191484652
#191476812
#191476782
#191476662
#191476632
#191476402
#191476382
#191476192
#191476112
#191473702
#191473582
#191473482
#191473462
#191473292
#191473272
#191472992
#191456922
#191456862
#191456682
#191456442
#191456142
#191456122
#191448492
#191448372
#191447842
#191447752
#191447092
#191447002
#191436982
C43×#33662
#6194543