Finite Group Databasebeta

← #25979674

Subgroups — #25979674

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148608C211yesmaximal, characteristic, complemented
2#19148541C211yesmaximal, characteristic, complemented
3#19147667C211yesmaximal, characteristic, complemented
4#19147510C211yesmaximal, characteristic, complemented
5#19147421C211yesmaximal, characteristic, complemented
6#19147406C211yesmaximal, characteristic, complemented
7#19147178C211yesmaximal, characteristic, complemented
8#19147131C211yesmaximal, characteristic, complemented
9#19147101C211yesmaximal, characteristic, complemented
10#19146869C211yesmaximal, characteristic, complemented
11#19146821C211yesmaximal, characteristic, complemented
12#19146761C211yesmaximal, characteristic, complemented
13#19146746C211yesmaximal, characteristic, complemented
14#19146630C211yesmaximal, characteristic, complemented
15#19146585C211yesmaximal, characteristic, complemented
16#19146225C211yesmaximal, characteristic, complemented
17#19146102C211yesmaximal, characteristic, complemented
18#19146087C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145199C211yesmaximal, characteristic, complemented
21#19144885C211yesmaximal, characteristic, complemented
22#19144855C211yesmaximal, characteristic, complemented
23#19144818C211yesmaximal, characteristic, complemented
24#19144773C211yesmaximal, characteristic, complemented
25#19144708C211yesmaximal, characteristic, complemented
26#19144692C211yesmaximal, characteristic, complemented
27#19143576C211yesmaximal, characteristic, complemented
28#19143456C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3175C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583629C2211yescharacteristic, complemented
37#14583623C2211yescharacteristic, complemented
38#14583620C2211yescharacteristic
39#14583618—21no—
40#14583618C2211yescharacteristic, complemented
41#14583616—21no—
42#14583616—21no—
43#14583613C2211yescharacteristic, complemented
44#14583611—21no—
45#14583610C2211yescharacteristic
46#14583600—21no—
47#14583596C2211yescharacteristic
48#14583583C2211yescharacteristic
49#14583579—21no—
50#14583574—21no—
51#14583562C2211yescharacteristic, complemented
52#14583557C2211yescharacteristic, complemented
53#14583555C2211yescharacteristic
54#14583552C2211yescharacteristic
55#14583542—21no—
56#14583542C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583519—21no—
60#14583517—21no—
61#14583514C2211yescharacteristic, complemented
62#14583500C2211yescharacteristic
63#14583495—21no—
64#14583485—21no—
65#14583453C2211yescharacteristic, complemented
66#14583451—21no—
67#14583436C2211yescharacteristic
68#14583427C2211yescharacteristic
69#14583426—21no—
70#14583412—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583376C2211yescharacteristic, complemented
74#14583375C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic
82#14583266C2211yescharacteristic, complemented
83#14583260C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic
86#14583239C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic, complemented
88#14583237C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic
93#14583226C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583220C2211yescharacteristic
96#14583220C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583208C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583197C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583191C2211yescharacteristic, complemented
104#14583186C2211yescharacteristic
105#14583181C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic
107#14583178C2211yescharacteristic
108#14583177C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583149C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic
114#14583146C2211yescharacteristic
115#14583146C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583127C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic
127#14583102C2211yescharacteristic, complemented
128#14583098C2211yescharacteristic
129#14583097C2211yescharacteristic
130#14583064C2211yescharacteristic
131#14583058C2211yescharacteristic, complemented
132#14583054C2211yescharacteristic, complemented
133#14583051C2211yescharacteristic
134#14583049C2211yescharacteristic
135#14583048C2211yescharacteristic
136#14583045C2211yescharacteristic
137#14583043C2211yescharacteristic
138#14583039C2211yescharacteristic, complemented
139#14583037C2211yescharacteristic
140#14583036C2211yescharacteristic, complemented
141#14583032C2211yescharacteristic
142#14583029C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583009C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583006C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14583001C2211yescharacteristic
151#14583001C2211yescharacteristic, complemented
152#14583001C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic
155#14582998C2211yescharacteristic
156#14582997C2211yescharacteristic
157#14582996C2211yescharacteristic, complemented
158C4×#10621885C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic
161C4×#10621873C2211yescharacteristic
162C4×#10621873C2211yescharacteristic, complemented
163C4×#10621873C2211yescharacteristic, complemented
164C4×#10621884C2211yescharacteristic, complemented
165C4×#10621883C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic
167C4×#10621882C2211yescharacteristic
168#14582978C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic
170#14582972C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic
172#14582970C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582937C2211yescharacteristic, complemented
180#14582909C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582902C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic
185#103×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#542C2211yescharacteristic, complemented
190C43×#500C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#440C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063357—24no—
213#13063349—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063323—21no—
237#13063323C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314—21no—
257#13063314C2311yescharacteristic
258#13063312—21no—
259#13063312C2311yescharacteristic
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311D411yescharacteristic
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310D411yescharacteristic
272#13063309—21no—
273#13063308—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307D411yescharacteristic
280#13063306—21no—
281#13063305—21no—
282#13063305C2311yescharacteristic
283#13063305C2311yescharacteristic
284#13063304—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063301C2311yescharacteristic
297#13063300—21no—
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063299—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298D411yescharacteristic
306#13063297—21no—
307#13063297—21no—
308#13063296—21no—
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311#13063295—21no—
312#13063295—21no—
313#13063295—21no—
314#13063293—21no—
315Q8×Dic43—21no—
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357#13063284C2311yescharacteristic
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#124×C43—21no—
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#123×C43—21no—
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506#10621902—22no—
507#10621902—41no—
508#10621902—82no—
509Q8×D43—22no—
510Q8×D43—41no—
511#10621900—22no—
512#10621900—41no—
513D4×D43—22no—
514D4×D43—41no—
515D4×D43—82no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—22no—
521C2×D172—41no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—82no—
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—22no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—41no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550SD16×C43—41no—
551SD16×C43—41no—
552D8×C43—22no—
553M16×C43—41no—
554C2×C8×C43—22no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43C2×D411yescharacteristic
582C22⋊C4×C43C2×D411yescharacteristic
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2411yescharacteristic
586C42×C43C2411yescharacteristic
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597#10621885—22no—
598#10621885—41no—
599#10621884—22no—
600#10621884—41no—
601#10621883—22no—
602#10621883—41no—
603#10621882—22no—
604#10621882—41no—
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)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681#10621873—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873#4114yescomplemented
685#10621872—22no—
686#10621872—22no—
687#10621872—41no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—81no—
707Q8×C43—81no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—81no—
713D4×C43—81no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—42no—
745C2×Dic43—42no—
746C2×Dic43—42no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754D172—21no—
755D172—21no—
756D172—21no—
757D172—41no—
758D172—42no—
759D172—42no—
760D172—42no—
761D172—81no—
762D172C2×#4112yes—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—41no—
768C4×D43—41no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—41no—
783Dic86—42no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—22no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—22no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175D4311yescharacteristic, complemented
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—81no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—41no—
885D43—42no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—861no—
916#542—861no—
917#542C2×D4311yescharacteristic
918#542C2×D4311yescharacteristic, complemented
919#540—431no—
920#539—861no—
921#538—861no—
922#533—431no—
923#533—861no—
924#529—431no—
925#529—431no—
926#529—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#500C2×D4311yescharacteristic, complemented
938#497—431no—
939#496—431no—
940#495C2×D4311yescharacteristic, complemented
941#491—431no—
942#489—431no—
943#489C2×D4311yescharacteristic, complemented
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#468C2×D4311yescharacteristic, complemented
979#467C2×D4311yescharacteristic, complemented
980#466—431no—
981#466C2×D4311yescharacteristic
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440C2×D4311yescharacteristic, complemented
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8C2×D4311yescharacteristic, complemented
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405C2×D4311yescharacteristic, complemented
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—864no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—861no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8C22×D4311yescharacteristic
1101C4⋊Q8C22×D4311yescharacteristic
1102#127—431no—
1103#126—21no—
1104#126—21no—
1105#126—431no—
1106#126—431no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#125—431no—
1118#125—431no—
1119#125—431no—
1120#125—861no—
1121#125—861no—
1122#124—21no—
1123#124—21no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124C22×D4311yescharacteristic
1136#124C22×D4311yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—431no—
1140#123—431no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—862no—
1353C2×Q8—861no—
1354C2×Q8—862no—
1355C2×Q8—1721no—
1356C2×Q8—1721no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—862no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—3442no—
1404C22×C4C23×D4311yescharacteristic
1405Q16—22no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—41no—
1409SD16—41no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—862no—
1420D8—1721no—
1421M16—41no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425C2×C8—22no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4D4×D4311yescharacteristic
1476C4⋊C4D4×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—431no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—431no—
1548C23—431no—
1549C23—861no—
1550C23—861no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—81no—
1564Q8—432no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—81no—
1578D4—81no—
1579D4—432no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—1721no—
1589D4—1722no—
1590D4—1722no—
1591D4—1722no—
1592D4—1721no—
1593D4—1721no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—1721no—
1631C2×C4—1721no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—861no—
1663C22—862no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—3444no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—861no—
1688C4—861no—
1689C4—862no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—3441no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914808111yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3175C2
socleC22×C43C23×D4
hypercenter#3175D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3175

Complements

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

NH ≅ G/Ntype
1. #19148608C2semidirect
2. #19148541C2semidirect
3. #19147667C2semidirect
4. #19147510C2semidirect
5. #19147421C2semidirect
6. #19147406C2semidirect
7. #19147178C2semidirect
8. #19147131C2semidirect
9. #19147101C2semidirect
10. #19146869C2semidirect
11. #19146821C2semidirect
12. #19146761C2semidirect
13. #19146746C2semidirect
14. #19146630C2semidirect
15. #19146585C2semidirect
16. #19146225C2semidirect
17. #19146102C2semidirect
18. #19146087C2semidirect
19. #19145282C2semidirect
20. #19145199C2semidirect
21. #19144885C2semidirect
22. #19144855C2semidirect
23. #19144818C2semidirect
24. #19144773C2semidirect
25. #19144708C2semidirect
26. #19144692C2semidirect
27. #19143576C2semidirect
28. #19143456C2semidirect
29. #19143433C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3175C2semidirect
36. #14583629C22semidirect
37. #14583623C22semidirect
40. #14583618C22semidirect
43. #14583613C22semidirect
51. #14583562C22semidirect
52. #14583557C22semidirect
61. #14583514C22semidirect
65. #14583453C22semidirect
73. #14583376C22semidirect
74. #14583375C22semidirect
76. C4×#10621900C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583292C22semidirect
82. #14583266C22semidirect
83. #14583260C22semidirect
84. #14583252C22semidirect
86. #14583239C22semidirect
87. #14583237C22semidirect
88. #14583237C22semidirect
89. #14583236C22semidirect
90. #14583236C22semidirect
91. #14583233C22semidirect
93. #14583226C22semidirect
94. #14583221C22semidirect
96. #14583220C22semidirect
97. #14583211C22semidirect
98. #14583208C22semidirect
99. #14583205C22semidirect
100. #14583205C22semidirect
101. #14583197C22semidirect
102. #14583192C22semidirect
103. #14583191C22semidirect
105. #14583181C22semidirect
108. #14583177C22semidirect
109. #14583176C22semidirect
110. #14583156C22semidirect
111. #14583154C22semidirect
112. #14583149C22semidirect
115. #14583146C22semidirect
116. #14583134C22semidirect
117. #14583127C22semidirect
118. #14583124C22semidirect
119. #14583119C22semidirect
120. #14583118C22semidirect
121. #14583118C22semidirect
122. #14583116C22semidirect
125. #14583111C22semidirect
127. #14583102C22semidirect
131. #14583058C22semidirect
132. #14583054C22semidirect
138. #14583039C22semidirect
140. #14583036C22semidirect
142. #14583029C22semidirect
143. #14583027C22semidirect
144. #14583011C22semidirect
145. #14583009C22semidirect
147. #14583006C22semidirect
148. #14583004C22semidirect
151. #14583001C22semidirect
152. #14583001C22semidirect
153. #14582999C22semidirect
157. #14582996C22semidirect
158. C4×#10621885C22semidirect
159. #14582991C22semidirect
162. C4×#10621873C22semidirect
163. C4×#10621873C22semidirect
164. C4×#10621884C22semidirect
165. C4×#10621883C22semidirect
168. #14582978C22semidirect
170. #14582972C22semidirect
172. #14582970C22semidirect
173. #14582968C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582940C22semidirect
178. #14582940C22semidirect
179. #14582937C22semidirect
180. #14582909C22semidirect
183. #14582897C22semidirect
185. #103×D43C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
189. C43×#542C22semidirect
190. C43×#500C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#489C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
198. C43×#440C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
684. #10621873#41semidirect
865. #3175D43semidirect
918. #542C2×D43semidirect
937. #500C2×D43semidirect
940. #495C2×D43semidirect
943. #489C2×D43semidirect
944. #489C2×D43semidirect
978. #468C2×D43semidirect
979. #467C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1036. C4×D8C2×D43semidirect
1056. #405C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486082
#191485412
#191476672
#191475102
#191474212
#191474062
#191471782
#191471312
#191471012
#191468692
#191468212
#191467612
#191467462
#191466302
#191465852
#191462252
#191461022
#191460872
#191452822
#191451992
#191448852
#191448552
#191448182
#191447732
#191447082
#191446922
#191435762
#191434562
#191434332
C4×#130633492
C43×#31752
#6150343