Finite Group Databasebeta

← #25979747

Subgroups — #25979747

Order 11008.

1896 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148552C211yesmaximal, characteristic, complemented
2#19148520C211yesmaximal, characteristic, complemented
3#19147678C211yesmaximal, characteristic, complemented
4#19147489C211yesmaximal, characteristic, complemented
5#19147392C211yesmaximal, characteristic, complemented
6#19147344C211yesmaximal, characteristic, complemented
7#19147188C211yesmaximal, characteristic, complemented
8#19147144C211yesmaximal, characteristic, complemented
9#19147110C211yesmaximal, characteristic, complemented
10#19146813C211yesmaximal, characteristic, complemented
11#19146752C211yesmaximal, characteristic, complemented
12#19146731C211yesmaximal, characteristic, complemented
13#19146632C211yesmaximal, characteristic, complemented
14#19146551C211yesmaximal, characteristic, complemented
15#19146206C211yesmaximal, characteristic, complemented
16#19146071C211yesmaximal, characteristic, complemented
17#19146068C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145207C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144877C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144774C211yesmaximal, characteristic, complemented
24#19144772C211yesmaximal, characteristic, complemented
25#19144699C211yesmaximal, characteristic, complemented
26#19144681C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143443C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143399C211yesmaximal, characteristic, complemented
31C43×#3325C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621882C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583632C2211yescharacteristic, complemented
37#14583617C2211yescharacteristic, complemented
38#14583612C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic, complemented
40#14583596C2211yescharacteristic
41#14583592—21no—
42#14583589C2211yescharacteristic, complemented
43#14583580—21no—
44#14583580—21no—
45#14583579—21no—
46#14583573—21no—
47#14583564C2211yescharacteristic, complemented
48#14583557—21no—
49#14583549C2211yescharacteristic, complemented
50#14583546C2211yescharacteristic, complemented
51#14583545C2211yescharacteristic
52#14583543—21no—
53#14583543C2211yescharacteristic
54#14583543C2211yescharacteristic, complemented
55#14583538—21no—
56#14583533C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583516C2211yescharacteristic, complemented
59#14583516C2211yescharacteristic, complemented
60#14583503C2211yescharacteristic, complemented
61#14583494—21no—
62#14583484—21no—
63#14583483—21no—
64#14583481—21no—
65#14583444C2211yescharacteristic, complemented
66#14583430C2211yescharacteristic, complemented
67#14583429C2211yescharacteristic
68#14583427—21no—
69#124×D43—21no—
70#14583405—21no—
71C2×#13063306—21no—
72#14583378C2211yescharacteristic, complemented
73#14583374C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76#14583367C2211yescharacteristic, complemented
77C2×D4×Dic43C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583254C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583218C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583181C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic, complemented
113#14583145C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583127C2211yescharacteristic, complemented
118#14583126C2211yescharacteristic, complemented
119#14583126C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583112C2211yescharacteristic, complemented
127#14583112C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic
129#14583092C2211yescharacteristic, complemented
130#14583091C2211yescharacteristic
131#14583063C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583052C2211yescharacteristic, complemented
134#14583050C2211yescharacteristic, complemented
135#14583045C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583033C2211yescharacteristic, complemented
138#14583032C2211yescharacteristic
139#14583031C2211yescharacteristic, complemented
140#14583031C2211yescharacteristic, complemented
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583008C2211yescharacteristic, complemented
153#14583005C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic, complemented
162C4×#10621873C2211yescharacteristic, complemented
163#14582986C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic, complemented
165#14582979C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582940C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic, complemented
182#14582901C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189D42×C43C2211yescharacteristic, complemented
190C43×#486C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#469C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#447C2211yescharacteristic
198C43×#447C2211yescharacteristic, complemented
199C4×D8×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic, complemented
202C43×#418C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43—21no—
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C23×Dic43—21no—
212#13063351—24no—
213#13063349—24no—
214C2×Dic172C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621882—24no—
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C22×C43⋊C8C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063321C2311yescharacteristic
236#13063320—21no—
237#13063320D411yescharacteristic
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318D411yescharacteristic
246#13063317C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315D411yescharacteristic
250#13063314—21no—
251#13063313—21no—
252#13063313C2311yescharacteristic
253#13063312—21no—
254#13063312—21no—
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063312C2311yescharacteristic
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311D411yescharacteristic
264#13063310—21no—
265#13063310—21no—
266#13063309D411yescharacteristic
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306—21no—
282#13063306—21no—
283#13063306D411yescharacteristic
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304C2311yescharacteristic
287#13063304C2311yescharacteristic
288#13063304C2311yescharacteristic
289#13063303—21no—
290#13063303—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302D411yescharacteristic
297#13063301—21no—
298#13063301—21no—
299#13063300C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297D411yescharacteristic
310#13063296—21no—
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063295—21no—
315#13063294—21no—
316#13063294—21no—
317#13063293—21no—
318#13063293—21no—
319#13063293—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290C2311yescharacteristic
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326C4×D172—21no—
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43C2311yescharacteristic
372C2×C22⋊Dic43—21no—
373C2×C22⋊Dic43—21no—
374C2×C22⋊Dic43—21no—
375C2×C22⋊Dic43—21no—
376C2×C22⋊Dic43—21no—
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43—21no—
450#121×C43—21no—
451#121×C43—21no—
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457#120×C43—21no—
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C24×C43—21no—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×D4×C43—21no—
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—22no—
495C2×D4×C43—22no—
496C2×D4×C43—41no—
497C2×D4×C43—41no—
498C2×D4×C43—82no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
517C2×C22⋊D43C2×D411yescharacteristic
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—82no—
529C22×Dic43C2×D411yescharacteristic
530C22×Dic43C2×D411yescharacteristic
531Q8×D43—82no—
532#10621900—22no—
533#10621900—41no—
534#10621900—82no—
535#10621900—82no—
536D4×D43—22no—
537D4×D43—41no—
538D4×D43—82no—
539#10621898—22no—
540#10621898—41no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—22no—
544C2×D172—41no—
545C2×D172C2411yescharacteristic
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—21no—
555C2×C4×D43C2411yescharacteristic
556C2×Dic86—21no—
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86C2×D411yescharacteristic
560C2×Dic86C2411yescharacteristic
561C2×Dic86C2411yescharacteristic
562D8×C43—22no—
563D8×C43—41no—
564D8×C43—41no—
565M16×C43—41no—
566M16×C43—41no—
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
571C4⋊C4×C43—21no—
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43C2×D411yescharacteristic
586C22⋊C4×C43C2×D411yescharacteristic
587C42×C43—21no—
588C42×C43—21no—
589C42×C43C2411yescharacteristic
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—
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⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613C22⋊Dic43C2×D411yescharacteristic
614#10621883—22no—
615#10621883—22no—
616#10621883—22no—
617#10621883—41no—
618#10621882—22no—
619#10621882—22no—
620#10621882—22no—
621#10621882—22no—
622#10621882—41no—
623#10621882#4114yescomplemented
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687Dic172—41no—
688#10621873—22no—
689#10621873—41no—
690#10621872—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—42no—
697C23×C43—42no—
698C23×C43—42no—
699C23×C43—81no—
700C23×C43—81no—
701C23×C43—81no—
702C23×C43C22×D411yescharacteristic
703C23×C43C22×D411yescharacteristic
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—81no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—41no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—42no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43C2×#4112yes—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—41no—
747C22⋊D43—41no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—41no—
763C2×Dic43—41no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781D172—21no—
782D172—21no—
783D172—21no—
784D172—42no—
785D172—81no—
786D172C2×#4112yes—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797Dic86—21no—
798Dic86—21no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—22no—
820C22×C43—21no—
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×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—84no—
833C22×C43—162no—
834C22×C43C23×D411yescharacteristic
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—22no—
838C2×D43—21no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325D4311yescharacteristic, complemented
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306—431no—
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—41no—
901C2×C43—41no—
902C2×C43—42no—
903C2×C43—81no—
904C2×C43—81no—
905C2×C43—81no—
906C2×C43D4×#4111yescharacteristic
907C2×C43#358511yescharacteristic
908C2×C43#358511yescharacteristic
909D43—41no—
910D43—42no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556—431no—
918#555—431no—
919#555C2×D4311yescharacteristic
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—431no—
934#546—431no—
935#546—861no—
936#546—861no—
937D42—431no—
938D42C2×D4311yescharacteristic, complemented
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489—431no—
969#489—431no—
970#488—431no—
971#486C2×D4311yescharacteristic, complemented
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482C2×D4311yescharacteristic, complemented
980#482C2×D4311yescharacteristic, complemented
981#481—431no—
982#481—431no—
983#481—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476—431no—
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469C2×D4311yescharacteristic
1000#469C2×D4311yescharacteristic, complemented
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459C2×D4311yescharacteristic, complemented
1020#452—431no—
1021#452—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447C2×D4311yescharacteristic
1031#447C2×D4311yescharacteristic, complemented
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#441—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×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8C2×D4311yescharacteristic, complemented
1062#436—431no—
1063#436C2×D4311yescharacteristic, complemented
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418C2×D4311yescharacteristic, complemented
1076#418C2×D4311yescharacteristic, complemented
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C22×Q8—861no—
1089C22×D4—21no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4C22×D4311yescharacteristic
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—864no—
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16C22×D4311yescharacteristic
1118C2×M16C22×D4311yescharacteristic
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—21no—
1142#124—21no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—431no—
1158#123—431no—
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—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192#121—21no—
1193#121—21no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
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#121C22×D4311yescharacteristic
1210#121C22×D4311yescharacteristic
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
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—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×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—21no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117C22×D4311yescharacteristic
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107C22×D4311yescharacteristic
1298#106—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
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—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#102C22×D4311yescharacteristic
1337#102C22×D4311yescharacteristic
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8C22×D4311yescharacteristic
1362C24—21no—
1363C24—21no—
1364C24—861no—
1365C24—861no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8—861no—
1377C2×Q8—861no—
1378C2×Q8—861no—
1379C2×Q8—3442no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—82no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—862no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—862no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4D4×D4311yescharacteristic
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—431no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—861no—
1423C22×C4—861no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—3442no—
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—1721no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—22no—
1451D8—41no—
1452D8—41no—
1453D8—434no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459M16—41no—
1460M16—41no—
1461M16—862no—
1462M16—862no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—431no—
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—861no—
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⋊C4D4×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—431no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4D4×D4311yescharacteristic
1558C22⋊C4D4×D4311yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—431no—
1565C42—431no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—431no—
1584C23—861no—
1585C23—861no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—3441no—
1590C23—1722no—
1591C23—1722no—
1592C23C2×D4×D4311yescharacteristic
1593C23C2×D4×D4311yescharacteristic
1594Q8—81no—
1595Q8—861no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—1721no—
1602Q8—1722no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—41no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—432no—
1620D4—861no—
1621D4—861no—
1622D4—861no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—3441no—
1628D4—1722no—
1629D4—1721no—
1630D4—1721no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
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—3441no—
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—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1721no—
1678C2×C4—1721no—
1679C2×C4—1722no—
1680C2×C4—1722no—
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—432no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—84no—
1713C22—162no—
1714C22—861no—
1715C22—862no—
1716C22—861no—
1717C22—861no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373411yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—81no—
1754C2—81no—
1755C2—3441no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914807911yescharacteristic
1759C2#1914937011yescharacteristic
1760C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3325C2
socleC22×C43C23×D4
hypercenter#3325D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #19148552C2semidirect
2. #19148520C2semidirect
3. #19147678C2semidirect
4. #19147489C2semidirect
5. #19147392C2semidirect
6. #19147344C2semidirect
7. #19147188C2semidirect
8. #19147144C2semidirect
9. #19147110C2semidirect
10. #19146813C2semidirect
11. #19146752C2semidirect
12. #19146731C2semidirect
13. #19146632C2semidirect
14. #19146551C2semidirect
15. #19146206C2semidirect
16. #19146071C2semidirect
17. #19146068C2semidirect
18. #19145285C2semidirect
19. #19145207C2semidirect
20. #19145185C2semidirect
21. #19144877C2semidirect
22. #19144836C2semidirect
23. #19144774C2semidirect
24. #19144772C2semidirect
25. #19144699C2semidirect
26. #19144681C2semidirect
27. #19143581C2semidirect
28. #19143443C2semidirect
29. #19143420C2semidirect
30. #19143399C2semidirect
31. C43×#3325C2semidirect
35. #14583635C22semidirect
36. #14583632C22semidirect
37. #14583617C22semidirect
38. #14583612C22semidirect
39. #14583608C22semidirect
42. #14583589C22semidirect
47. #14583564C22semidirect
49. #14583549C22semidirect
50. #14583546C22semidirect
54. #14583543C22semidirect
56. #14583533C22semidirect
57. #14583523C22semidirect
58. #14583516C22semidirect
59. #14583516C22semidirect
60. #14583503C22semidirect
65. #14583444C22semidirect
66. #14583430C22semidirect
72. #14583378C22semidirect
73. #14583374C22semidirect
74. #14583373C22semidirect
75. #14583371C22semidirect
76. #14583367C22semidirect
77. C2×D4×Dic43C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583296C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
83. #14583282C22semidirect
84. #14583262C22semidirect
85. #14583257C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583254C22semidirect
89. #14583241C22semidirect
90. #14583240C22semidirect
91. #14583240C22semidirect
92. #14583231C22semidirect
93. #14583222C22semidirect
94. #14583221C22semidirect
95. #14583220C22semidirect
96. #14583219C22semidirect
97. #14583218C22semidirect
98. #14583215C22semidirect
99. #14583205C22semidirect
100. #14583200C22semidirect
101. #14583199C22semidirect
102. #14583198C22semidirect
103. #14583188C22semidirect
104. #14583187C22semidirect
105. #14583187C22semidirect
106. #14583187C22semidirect
107. #14583181C22semidirect
108. #14583178C22semidirect
109. #14583177C22semidirect
110. #14583157C22semidirect
111. #14583151C22semidirect
112. #14583150C22semidirect
113. #14583145C22semidirect
114. #14583144C22semidirect
115. #14583143C22semidirect
116. #14583134C22semidirect
117. #14583127C22semidirect
118. #14583126C22semidirect
119. #14583126C22semidirect
120. #14583122C22semidirect
121. #14583120C22semidirect
122. #14583114C22semidirect
123. #14583113C22semidirect
124. #14583113C22semidirect
125. #14583113C22semidirect
126. #14583112C22semidirect
127. #14583112C22semidirect
129. #14583092C22semidirect
131. #14583063C22semidirect
132. #14583062C22semidirect
133. #14583052C22semidirect
134. #14583050C22semidirect
137. #14583033C22semidirect
139. #14583031C22semidirect
140. #14583031C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583008C22semidirect
152. #14583008C22semidirect
153. #14583005C22semidirect
154. #14582999C22semidirect
155. #14582998C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582996C22semidirect
159. #14582990C22semidirect
160. #14582990C22semidirect
161. #14582990C22semidirect
162. C4×#10621873C22semidirect
163. #14582986C22semidirect
164. D8×Dic43C22semidirect
167. #14582979C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582940C22semidirect
180. #14582935C22semidirect
181. #14582905C22semidirect
182. #14582901C22semidirect
183. #14582892C22semidirect
184. #102×D43C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
189. D42×C43C22semidirect
190. C43×#486C22semidirect
191. C43×#482C22semidirect
192. C43×#482C22semidirect
193. C43×#476C22semidirect
195. C43×#469C22semidirect
196. C43×#459C22semidirect
198. C43×#447C22semidirect
199. C4×D8×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#418C22semidirect
202. C43×#418C22semidirect
623. #10621882#41semidirect
878. #3325D43semidirect
938. D42C2×D43semidirect
971. #486C2×D43semidirect
979. #482C2×D43semidirect
980. #482C2×D43semidirect
992. #476C2×D43semidirect
1000. #469C2×D43semidirect
1019. #459C2×D43semidirect
1031. #447C2×D43semidirect
1061. C4×D8C2×D43semidirect
1063. #436C2×D43semidirect
1075. #418C2×D43semidirect
1076. #418C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485522
#191485202
#191476782
#191474892
#191473922
#191473442
#191471882
#191471442
#191471102
#191468132
#191467522
#191467312
#191466322
#191465512
#191462062
#191460712
#191460682
#191452852
#191452072
#191451852
#191448772
#191448362
#191447742
#191447722
#191446992
#191446812
#191435812
#191434432
#191434202
#191433992
C43×#33252
#6150543