Finite Group Databasebeta

← #25979903

Subgroups — #25979903

Order 11008.

1832 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#19148665C211yesmaximal, characteristic, complemented
2#19148634C211yesmaximal, characteristic, complemented
3#19147672C211yesmaximal, characteristic, complemented
4#19147492C211yesmaximal, characteristic, complemented
5#19147427C211yesmaximal, characteristic, complemented
6#19147314C211yesmaximal, characteristic, complemented
7#19147212C211yesmaximal, characteristic, complemented
8#19147076C211yesmaximal, characteristic, complemented
9#19147031C211yesmaximal, characteristic, complemented
10#19146907C211yesmaximal, characteristic, complemented
11#19146797C211yesmaximal, characteristic, complemented
12#19146692C211yesmaximal, characteristic, complemented
13#19146681C211yesmaximal, characteristic, complemented
14#19146636C211yesmaximal, characteristic, complemented
15#19146557C211yesmaximal, characteristic, complemented
16#19146205C211yesmaximal, characteristic, complemented
17#19146120C211yesmaximal, characteristic, complemented
18#19146120C211yesmaximal, characteristic, complemented
19#19145267C211yesmaximal, characteristic, complemented
20#19145212C211yesmaximal, characteristic, complemented
21#19145199C211yesmaximal, characteristic, complemented
22#19144872C211yesmaximal, characteristic, complemented
23#19144857C211yesmaximal, characteristic, complemented
24#19144813C211yesmaximal, characteristic, complemented
25#19144783C211yesmaximal, characteristic, complemented
26#19144753C211yesmaximal, characteristic, complemented
27#19144737C211yesmaximal, characteristic, complemented
28#19143576C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#2951C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34#14583622C2211yescharacteristic
35#14583621C2211yescharacteristic, complemented
36#14583621C2211yescharacteristic, complemented
37#14583609C2211yescharacteristic
38#14583606C2211yescharacteristic, complemented
39#14583604C2211yescharacteristic, complemented
40#14583597C2211yescharacteristic
41#14583595—21no—
42#14583584C2211yescharacteristic, complemented
43#14583582—21no—
44#14583582—21no—
45#14583578—21no—
46#14583578—21no—
47#14583573—21no—
48#14583573—21no—
49D4×Dic86C2211yescharacteristic, complemented
50#14583558—21no—
51#14583550C2211yescharacteristic
52#14583548C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583544C2211yescharacteristic
55#14583544C2211yescharacteristic
56#14583537C2211yescharacteristic, complemented
57#14583537C2211yescharacteristic, complemented
58#14583521C2211yescharacteristic
59#14583520C2211yescharacteristic, complemented
60#14583520C2211yescharacteristic, complemented
61#14583507C2211yescharacteristic, complemented
62#14583496—21no—
63#14583496—21no—
64#14583491—21no—
65#14583482—21no—
66#14583453C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic
68#14583429—21no—
69#14583427C2211yescharacteristic
70C2×#13063320—21no—
71#14583408—21no—
72C2×#13063303—21no—
73#14583378C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75C4×#10621900C2211yescharacteristic
76C4×D4×D43C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583297C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583283C2211yescharacteristic
83#14583266C2211yescharacteristic, complemented
84#14583260C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583259C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583229C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583226C2211yescharacteristic
98#14583217C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic
100#14583212C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583201C2211yescharacteristic, complemented
105#14583194C2211yescharacteristic, complemented
106#14583193C2211yescharacteristic, complemented
107#14583189C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583187C2211yescharacteristic, complemented
110#14583184C2211yescharacteristic, complemented
111#14583179C2211yescharacteristic, complemented
112#14583178C2211yescharacteristic, complemented
113#14583157C2211yescharacteristic, complemented
114#14583156C2211yescharacteristic, complemented
115#14583154C2211yescharacteristic, complemented
116#14583154C2211yescharacteristic, complemented
117#14583152C2211yescharacteristic
118#14583148C2211yescharacteristic
119#14583146C2211yescharacteristic
120#14583146C2211yescharacteristic
121#14583139C2211yescharacteristic, complemented
122#14583131C2211yescharacteristic
123#14583128C2211yescharacteristic, complemented
124#14583128C2211yescharacteristic, complemented
125#14583121C2211yescharacteristic, complemented
126#14583121C2211yescharacteristic, complemented
127#14583117C2211yescharacteristic
128#14583117C2211yescharacteristic
129#14583116C2211yescharacteristic
130#14583116C2211yescharacteristic
131#14583114C2211yescharacteristic
132#14583114C2211yescharacteristic
133#14583108C2211yescharacteristic, complemented
134#14583108C2211yescharacteristic, complemented
135#14583102C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583062C2211yescharacteristic
138#14583062C2211yescharacteristic
139#14583061C2211yescharacteristic, complemented
140#14583061C2211yescharacteristic, complemented
141#14583058C2211yescharacteristic
142#14583058C2211yescharacteristic
143#14583048C2211yescharacteristic, complemented
144#14583048C2211yescharacteristic, complemented
145#14583044C2211yescharacteristic
146#14583044C2211yescharacteristic
147#14583034C2211yescharacteristic
148#14583034C2211yescharacteristic
149#14583029C2211yescharacteristic, complemented
150#14583027C2211yescharacteristic, complemented
151#14583012C2211yescharacteristic
152#14583011C2211yescharacteristic
153#14583011C2211yescharacteristic
154#14583009C2211yescharacteristic
155#14583008C2211yescharacteristic
156#14583007C2211yescharacteristic, complemented
157#14583004C2211yescharacteristic, complemented
158#14582999C2211yescharacteristic, complemented
159#14582998C2211yescharacteristic, complemented
160#14582998C2211yescharacteristic, complemented
161#14582997C2211yescharacteristic, complemented
162#14582996C2211yescharacteristic, complemented
163C4×#10621885C2211yescharacteristic, complemented
164#14582990C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166C4×#10621873C2211yescharacteristic, complemented
167C4×#10621884C2211yescharacteristic, complemented
168C4×#10621883C2211yescharacteristic, complemented
169C4×#10621882C2211yescharacteristic
170#14582979C2211yescharacteristic
171#14582978C2211yescharacteristic
172#14582975C2211yescharacteristic, complemented
173#14582972C2211yescharacteristic
174#14582970C2211yescharacteristic, complemented
175#14582970C2211yescharacteristic, complemented
176#14582968C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic, complemented
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic, complemented
180#14582940C2211yescharacteristic, complemented
181#14582940C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic, complemented
183#14582897C2211yescharacteristic
184#14582892C2211yescharacteristic
185#102×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C2×#135×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic, complemented
190C43×#520C2211yescharacteristic, complemented
191C43×#440C2211yescharacteristic, complemented
192C43×#440C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic, complemented
194C43×#440C2211yescharacteristic, complemented
195C4×Q16×C43C2211yescharacteristic, complemented
196C4×Q16×C43C2211yescharacteristic, complemented
197C4×D8×C43C2211yescharacteristic
198C4×D8×C43C2211yescharacteristic
199C2×#107×C43C2211yescharacteristic, complemented
200C43×#417C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86—21no—
207C2×D4×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063349—24no—
211#13063349—24no—
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063319—21no—
249#13063318D411yescharacteristic
250#13063317—21no—
251#13063317—21no—
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063313—21no—
263#13063313C2311yescharacteristic
264#13063313C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310D411yescharacteristic
273#13063309—21no—
274#13063309—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307D411yescharacteristic
284#13063306—21no—
285#13063306—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304—21no—
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303D411yescharacteristic
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063299—21no—
315#13063299—21no—
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063299C2311yescharacteristic
319#13063298D411yescharacteristic
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063295—21no—
325#13063295—21no—
326#13063293—21no—
327#13063293—21no—
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063284—21no—
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43—21no—
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C2×C4×Dic43—21no—
382C42×D43C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439#135×C43—24no—
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43—21no—
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462C2×C4⋊C4×C43—21no—
463C2×C4⋊C4×C43C2311yescharacteristic
464C2×C4⋊C4×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—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—41no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516#10621900—22no—
517#10621900—22no—
518#10621900—41no—
519#10621900—41no—
520D4×D43—22no—
521D4×D43—22no—
522D4×D43—41no—
523D4×D43—41no—
524#10621898—82no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—82no—
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—82no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550SD16×C43—22no—
551SD16×C43—22no—
552D8×C43#4114yescomplemented
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×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621885—41no—
592#10621885—41no—
593#10621884—41no—
594#10621884—41no—
595#10621883—22no—
596#10621883—22no—
597#10621882—22no—
598#10621882—22no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682D344—41no—
683#10621873—22no—
684#10621873—22no—
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—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—42no—
709D4×C43—42no—
710D4×C43C2×#4112yes—
711D4×C43C2×#4112yes—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
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—42no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—41no—
735C22⋊D43—41no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—42no—
749C2×Dic43—42no—
750C2×Dic43—42no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—41no—
765D172—81no—
766D172—81no—
767C4×D43—21no—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—41no—
772C4×D43—41no—
773C4×D43—42no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86—81no—
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#61510—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—22no—
800C22×C43—22no—
801C22×C43—21no—
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—21no—
812C2×D43—21no—
813C2×D43—41no—
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—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3521—431no—
847#3520—431no—
848#3402—431no—
849#3384—431no—
850#3376—431no—
851#3367—431no—
852#3356—431no—
853#3346—431no—
854#3343—431no—
855#3331—431no—
856#3322—431no—
857#3315—431no—
858#3314—431no—
859#3311—431no—
860#3306—431no—
861#3273—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3173—431no—
866#3172—431no—
867#3125—431no—
868#3124—431no—
869#3120—431no—
870#3118—431no—
871#3116—431no—
872#3114—431no—
873#2967—431no—
874#2951D4311yescharacteristic, complemented
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—42no—
878C2×C43—42no—
879C2×C43—41no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—41no—
885D43—81no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135C2×D4311yescharacteristic
890#556—431no—
891#556—431no—
892#556—431no—
893#554—431no—
894#554—431no—
895#554—431no—
896#553—431no—
897#553—861no—
898#552—431no—
899#552—861no—
900#552—861no—
901#551—861no—
902#551—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906#548—861no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—431no—
913#546—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#541—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#126—861no—
927#525—861no—
928C2×C22⋊Q8—861no—
929#520—431no—
930#520C2×D4311yescharacteristic, complemented
931#520C2×D4311yescharacteristic, complemented
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#498—431no—
938#497—431no—
939#497—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#483—431no—
953#483—431no—
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470—431no—
973#470—431no—
974#470—431no—
975#469—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#462—431no—
992#462—431no—
993#461—431no—
994#461—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452—431no—
999#452—431no—
1000#452—431no—
1001#450—431no—
1002#450—431no—
1003#449—431no—
1004#449—431no—
1005#447—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#441—431no—
1015#441—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440C2×D4311yescharacteristic, complemented
1022#440C2×D4311yescharacteristic, complemented
1023#440C2×D4311yescharacteristic, complemented
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16C2×D4311yescharacteristic, complemented
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8C2×D4311yescharacteristic
1036C4×D8C2×D4311yescharacteristic
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—
1048C2×#107C2×D4311yescharacteristic, complemented
1049#418—431no—
1050#417—431no—
1051#417C2×D4311yescharacteristic, complemented
1052#417C2×D4311yescharacteristic, complemented
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405C2×D4311yescharacteristic, complemented
1057C4×M16—431no—
1058C43#6151011yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C2×#41C22×D4311yescharacteristic
1063C2×#41C22×D4311yescharacteristic
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—431no—
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—24no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×Q16C22×D4311yescharacteristic
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×D8—431no—
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—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—431no—
1099#126—431no—
1100#126—431no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
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#125—431no—
1116#125—431no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#123—431no—
1134#123—431no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
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—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
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⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—431no—
1181#121—431no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
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—861no—
1199C4×Q8—861no—
1200C4×Q8C22×D4311yescharacteristic
1201C4×Q8C22×D4311yescharacteristic
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
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×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—21no—
1237#117—431no—
1238#117—431no—
1239#117—431no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117C22×D4311yescharacteristic
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4C22×D4311yescharacteristic
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—861no—
1259C2×C22⋊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#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#106—431no—
1276#106—431no—
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—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—862no—
1344#41—862no—
1345#41—3442no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—3442no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—862no—
1370C2×D4—862no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
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—1721no—
1407Q16—1721no—
1408Q16—1721no—
1409SD16—22no—
1410SD16—22no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417D8—862no—
1418D8—862no—
1419D8—1721no—
1420D8#1062189814yescomplemented
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⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4D4×D4311yescharacteristic
1480C4⋊C4D4×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
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⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—431no—
1534C42—431no—
1535C42—431no—
1536C42—431no—
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—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—42no—
1574D4—42no—
1575D4—861no—
1576D4—861no—
1577D4—861no—
1578D4—861no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—1721no—
1584D4—1721no—
1585D4—1721no—
1586D4—1722no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4C2×#1062189812yes—
1591D4C2×#1062189812yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
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—861no—
1623C2×C4—861no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1721no—
1633C2×C4—1721no—
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—
1651C8C2×#1062189812yes—
1652C22—21no—
1653C22—22no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—3444no—
1668C22—1721no—
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—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C22×#1062189811yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—42no—
1704C2—3441no—
1705C2—3441no—
1706C2—1721no—
1707C2—1721no—
1708C2D4×#1062189811yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2951C2
socleC22×C43C23×D4
hypercenter#2951D43
hypocenterC43#61510
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2951

Complements

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

NH ≅ G/Ntype
1. #19148665C2semidirect
2. #19148634C2semidirect
3. #19147672C2semidirect
4. #19147492C2semidirect
5. #19147427C2semidirect
6. #19147314C2semidirect
7. #19147212C2semidirect
8. #19147076C2semidirect
9. #19147031C2semidirect
10. #19146907C2semidirect
11. #19146797C2semidirect
12. #19146692C2semidirect
13. #19146681C2semidirect
14. #19146636C2semidirect
15. #19146557C2semidirect
16. #19146205C2semidirect
17. #19146120C2semidirect
18. #19146120C2semidirect
19. #19145267C2semidirect
20. #19145212C2semidirect
21. #19145199C2semidirect
22. #19144872C2semidirect
23. #19144857C2semidirect
24. #19144813C2semidirect
25. #19144783C2semidirect
26. #19144753C2semidirect
27. #19144737C2semidirect
28. #19143576C2semidirect
29. #19143420C2semidirect
30. C4×#13063349C2semidirect
31. C43×#2951C2semidirect
35. #14583621C22semidirect
36. #14583621C22semidirect
38. #14583606C22semidirect
39. #14583604C22semidirect
42. #14583584C22semidirect
49. D4×Dic86C22semidirect
56. #14583537C22semidirect
57. #14583537C22semidirect
59. #14583520C22semidirect
60. #14583520C22semidirect
61. #14583507C22semidirect
66. #14583453C22semidirect
74. #14583371C22semidirect
76. C4×D4×D43C22semidirect
77. #14583307C22semidirect
78. #14583307C22semidirect
79. #14583297C22semidirect
80. #14583292C22semidirect
81. #14583292C22semidirect
83. #14583266C22semidirect
84. #14583260C22semidirect
85. #14583259C22semidirect
86. #14583259C22semidirect
87. #14583255C22semidirect
88. #14583248C22semidirect
89. #14583242C22semidirect
90. #14583238C22semidirect
91. #14583238C22semidirect
92. #14583236C22semidirect
93. #14583234C22semidirect
94. #14583229C22semidirect
95. #14583228C22semidirect
96. #14583228C22semidirect
98. #14583217C22semidirect
100. #14583212C22semidirect
101. #14583205C22semidirect
102. #14583202C22semidirect
103. #14583201C22semidirect
104. #14583201C22semidirect
105. #14583194C22semidirect
106. #14583193C22semidirect
107. #14583189C22semidirect
108. #14583187C22semidirect
109. #14583187C22semidirect
110. #14583184C22semidirect
111. #14583179C22semidirect
112. #14583178C22semidirect
113. #14583157C22semidirect
114. #14583156C22semidirect
115. #14583154C22semidirect
116. #14583154C22semidirect
121. #14583139C22semidirect
123. #14583128C22semidirect
124. #14583128C22semidirect
125. #14583121C22semidirect
126. #14583121C22semidirect
133. #14583108C22semidirect
134. #14583108C22semidirect
135. #14583102C22semidirect
136. #14583102C22semidirect
139. #14583061C22semidirect
140. #14583061C22semidirect
143. #14583048C22semidirect
144. #14583048C22semidirect
149. #14583029C22semidirect
150. #14583027C22semidirect
156. #14583007C22semidirect
157. #14583004C22semidirect
158. #14582999C22semidirect
159. #14582998C22semidirect
160. #14582998C22semidirect
161. #14582997C22semidirect
162. #14582996C22semidirect
163. C4×#10621885C22semidirect
164. #14582990C22semidirect
165. C4×#10621873C22semidirect
166. C4×#10621873C22semidirect
167. C4×#10621884C22semidirect
168. C4×#10621883C22semidirect
172. #14582975C22semidirect
174. #14582970C22semidirect
175. #14582970C22semidirect
176. #14582968C22semidirect
177. #14582961C22semidirect
178. #14582960C22semidirect
179. #14582954C22semidirect
180. #14582940C22semidirect
181. #14582940C22semidirect
182. #14582902C22semidirect
185. #102×D43C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
189. C43×#520C22semidirect
190. C43×#520C22semidirect
191. C43×#440C22semidirect
192. C43×#440C22semidirect
193. C43×#440C22semidirect
194. C43×#440C22semidirect
195. C4×Q16×C43C22semidirect
196. C4×Q16×C43C22semidirect
199. C2×#107×C43C22semidirect
200. C43×#417C22semidirect
201. C43×#417C22semidirect
202. C43×#405C22semidirect
552. D8×C43#41semidirect
874. #2951D43semidirect
930. #520C2×D43semidirect
931. #520C2×D43semidirect
1021. #440C2×D43semidirect
1022. #440C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1026. C4×Q16C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1048. C2×#107C2×D43semidirect
1051. #417C2×D43semidirect
1052. #417C2×D43semidirect
1056. #405C2×D43semidirect
1058. C43#61510semidirect
1420. D8#10621898semidirect

Maximal subgroups

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

subgroupindex
#191486652
#191486342
#191476722
#191474922
#191474272
#191473142
#191472122
#191470762
#191470312
#191469072
#191467972
#191466922
#191466812
#191466362
#191465572
#191462052
#191461202
#191452672
#191452122
#191451992
#191448722
#191448572
#191448132
#191447832
#191447532
#191447372
#191435762
#191434202
C4×#130633492
C43×#29512
#6151043