Finite Group Databasebeta

← #25979909

Subgroups — #25979909

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#19148657C211yesmaximal, characteristic, complemented
2#19148644C211yesmaximal, characteristic, complemented
3#19147673C211yesmaximal, characteristic, complemented
4#19147497C211yesmaximal, characteristic, complemented
5#19147425C211yesmaximal, characteristic, complemented
6#19147308C211yesmaximal, characteristic, complemented
7#19147203C211yesmaximal, characteristic, complemented
8#19147083C211yesmaximal, characteristic, complemented
9#19147042C211yesmaximal, characteristic, complemented
10#19146909C211yesmaximal, characteristic, complemented
11#19146800C211yesmaximal, characteristic, complemented
12#19146688C211yesmaximal, characteristic, complemented
13#19146679C211yesmaximal, characteristic, complemented
14#19146624C211yesmaximal, characteristic, complemented
15#19146563C211yesmaximal, characteristic, complemented
16#19146206C211yesmaximal, characteristic, complemented
17#19146118C211yesmaximal, characteristic, complemented
18#19146115C211yesmaximal, characteristic, complemented
19#19145261C211yesmaximal, characteristic, complemented
20#19145210C211yesmaximal, characteristic, complemented
21#19145202C211yesmaximal, characteristic, complemented
22#19144876C211yesmaximal, characteristic, complemented
23#19144855C211yesmaximal, characteristic, complemented
24#19144813C211yesmaximal, characteristic, complemented
25#19144777C211yesmaximal, characteristic, complemented
26#19144758C211yesmaximal, characteristic, complemented
27#19143575C211yesmaximal, characteristic, complemented
28#19143467C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3114C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583620C2211yescharacteristic
36#14583619C2211yescharacteristic, complemented
37#14583618C2211yescharacteristic, complemented
38#14583605C2211yescharacteristic, complemented
39#14583604C2211yescharacteristic
40#14583604C2211yescharacteristic, complemented
41#14583599—21no—
42#14583596C2211yescharacteristic
43#14583589—21no—
44#14583588—21no—
45#14583587C2211yescharacteristic, complemented
46#14583578—21no—
47#14583575—21no—
48#14583575—21no—
49#14583573—21no—
50D4×Dic86C2211yescharacteristic, complemented
51#14583558—21no—
52#14583554C2211yescharacteristic
53#14583553C2211yescharacteristic
54#14583551C2211yescharacteristic
55#14583546C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583543C2211yescharacteristic, complemented
58#14583542C2211yescharacteristic, complemented
59#14583514C2211yescharacteristic
60#14583514C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic, complemented
62#14583507C2211yescharacteristic, complemented
63#14583492—21no—
64#14583491—21no—
65#14583491—21no—
66#14583485—21no—
67#14583456C2211yescharacteristic, complemented
68#14583433C2211yescharacteristic
69#14583432—21no—
70#126×D43—21no—
71#14583410—21no—
72C2×#13063304—21no—
73#14583381C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic
75#14583378C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic, complemented
77C4×#10621898C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic
84#14583269C2211yescharacteristic, complemented
85#14583258C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583241C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583236C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic
98#14583216C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583195C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583190C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583158C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583155C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic
115#14583144C2211yescharacteristic
116#14583143C2211yescharacteristic
117#14583143C2211yescharacteristic
118#14583141C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583127C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic
125#14583113C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583112C2211yescharacteristic
128#14583110C2211yescharacteristic, complemented
129#14583108C2211yescharacteristic, complemented
130#14583105C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583064C2211yescharacteristic, complemented
133#14583063C2211yescharacteristic
134#14583063C2211yescharacteristic
135#14583062C2211yescharacteristic
136#14583062C2211yescharacteristic, complemented
137#14583058C2211yescharacteristic
138#14583051C2211yescharacteristic, complemented
139#14583043C2211yescharacteristic
140#14583041C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583028C2211yescharacteristic, complemented
143#14583028C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583007C2211yescharacteristic, complemented
148#14583007C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic, complemented
150#14583001C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156C4×#10621885C2211yescharacteristic, complemented
157C4×#10621885C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160C4×#10621883C2211yescharacteristic, complemented
161C4×#10621883C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582974C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic
171#14582973C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582961C2211yescharacteristic, complemented
176#14582939C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582904C2211yescharacteristic, complemented
180#14582899C2211yescharacteristic, complemented
181#14582898C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C4×#10621877C2211yescharacteristic, complemented
188C43×#529C2211yescharacteristic
189C2×C4×D4×C43C2211yescharacteristic, complemented
190C43×#483C2211yescharacteristic, complemented
191C43×#480C2211yescharacteristic
192C43×#478C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#463C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#450C2211yescharacteristic, complemented
197C43×#447C2211yescharacteristic
198C43×#442C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C22×Dic86—21no—
209C2×D4×D43C2311yescharacteristic
210#13063351—24no—
211#13063349—24no—
212#13063346—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319D411yescharacteristic
242#13063319D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317D411yescharacteristic
255#13063316—21no—
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063313D411yescharacteristic
261#13063312C2311yescharacteristic
262#13063312C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063310—21no—
269#13063310—21no—
270#13063309—21no—
271#13063309—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308D411yescharacteristic
276#13063308D411yescharacteristic
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304—21no—
292#13063304—21no—
293#13063304—21no—
294#13063304—21no—
295#13063304—21no—
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304D411yescharacteristic
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063301C2311yescharacteristic
310#13063299—21no—
311#13063299D411yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063297—21no—
315#13063297—21no—
316#13063296—21no—
317#13063296—21no—
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063294—21no—
323#13063294—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
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#13063284—21no—
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370C2×C4⋊Dic43—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C2×C22⋊Dic43—21no—
380C2×C22⋊Dic43—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C42×D43—21no—
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C22×D4×C43C2311yescharacteristic
439C23×C4×C43—21no—
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444#126×C43—21no—
445#125×C43C2311yescharacteristic
446#124×C43C2311yescharacteristic
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449#121×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×D4×C43—21no—
452C4×D4×C43—21no—
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#117×C43—21no—
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—22no—
487C2×D4×C43—41no—
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—82no—
498C22×C4×C43C2×D411yescharacteristic
499C22×C4×C43C2×D411yescharacteristic
500C22×C4×C43C2411yescharacteristic
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515#10621902—22no—
516#10621902—41no—
517#10621900—22no—
518#10621900—22no—
519#10621900—41no—
520#10621900—41no—
521D4×D43—22no—
522D4×D43—41no—
523#10621898—22no—
524#10621898—41no—
525#10621898—82no—
526C2×D172—21no—
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
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—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—82no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—41no—
551D8×C43—22no—
552D8×C43—41no—
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C42×C43—21no—
576C42×C43C2×D411yescharacteristic
577C42×C43C2×D411yescharacteristic
578C42×C43C2411yescharacteristic
579C42×C43C2411yescharacteristic
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
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#10621883—22no—
600#10621883—22no—
601#10621883—22no—
602#10621883—41no—
603#10621882—22no—
604#10621882#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676#10621877—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682Dic172—41no—
683#10621873—22no—
684#10621873—22no—
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—42no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—42no—
710D4×C43—81no—
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—41no—
720C2×C4×C43—41no—
721C2×C4×C43—42no—
722C2×C4×C43—42no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—41no—
734C22⋊D43—41no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—81no—
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—21no—
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—41no—
762D172—42no—
763D172C2×#4112yes—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—21no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777Dic86—21no—
778Dic86—21no—
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×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61510—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—22no—
800C22×C43—21no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—84no—
810C22×C43C23×D411yescharacteristic
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—22no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—41no—
819C2×D43—41no—
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×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—41no—
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#3114D4311yescharacteristic, complemented
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—42no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—41no—
886D43—42no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
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—861no—
925#529C2×D4311yescharacteristic
926C2×#126—861no—
927#525—861no—
928C2×C22⋊Q8—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4C2×D4311yescharacteristic, complemented
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#483C2×D4311yescharacteristic, complemented
955#482—431no—
956#481—431no—
957#480—431no—
958#480C2×D4311yescharacteristic
959#479—431no—
960#478—431no—
961#478C2×D4311yescharacteristic, complemented
962#478C2×D4311yescharacteristic, complemented
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#463C2×D4311yescharacteristic
990#463C2×D4311yescharacteristic
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#450C2×D4311yescharacteristic, complemented
1003#449—431no—
1004#449—431no—
1005#447—431no—
1006#447C2×D4311yescharacteristic
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442C2×D4311yescharacteristic
1013#442C2×D4311yescharacteristic
1014#441—431no—
1015#441—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×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
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#432C2×D4311yescharacteristic, complemented
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151011yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—431no—
1063C2×#41—861no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—21no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×Q16—431no—
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×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—431no—
1099#126—21no—
1100#126—431no—
1101#126—431no—
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—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—431no—
1135#123—431no—
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—861no—
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⋊Q8C22×D4311yescharacteristic
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
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—861no—
1202C4×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—431no—
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—861no—
1218C4×D4—861no—
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×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232C4×D4C22×D4311yescharacteristic
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—21no—
1236#117—431no—
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#117—861no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—21no—
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—861no—
1266C2×C42C22×D4311yescharacteristic
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#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1302#103—431no—
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#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
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⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
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×C8—431no—
1336C4×C8—431no—
1337C24—21no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—862no—
1343#41—3442no—
1344#41—1721no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8C23×D4311yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—1721no—
1376C2×D4C23×D4311yescharacteristic
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—82no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—861no—
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×C4D4×D4311yescharacteristic
1403C22×C4D4×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—1721no—
1407Q16—1721no—
1408Q16—1721no—
1409SD16—22no—
1410SD16—41no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417D8—22no—
1418D8—41no—
1419D8—434no—
1420D8—862no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
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—431no—
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—431no—
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⋊C4—861no—
1480C4⋊C4—861no—
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—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C42—21no—
1530C42—431no—
1531C42—431no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42D4×D4311yescharacteristic
1542C42D4×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—431no—
1552C23—431no—
1553C23—861no—
1554C23—3441no—
1555C23—3441no—
1556C23—1722no—
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—81no—
1578D4—432no—
1579D4—861no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—1721no—
1584D4—1722no—
1585D4—1721no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
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—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—3441no—
1633C2×C4—3441no—
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—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—861no—
1666C22—861no—
1667C22—862no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—861no—
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—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373511yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807811yescharacteristic
1709C2#1914937111yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3114C2
socleC22×C43C23×D4
hypercenter#3114D43
hypocenterC43#61510
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #19148657C2semidirect
2. #19148644C2semidirect
3. #19147673C2semidirect
4. #19147497C2semidirect
5. #19147425C2semidirect
6. #19147308C2semidirect
7. #19147203C2semidirect
8. #19147083C2semidirect
9. #19147042C2semidirect
10. #19146909C2semidirect
11. #19146800C2semidirect
12. #19146688C2semidirect
13. #19146679C2semidirect
14. #19146624C2semidirect
15. #19146563C2semidirect
16. #19146206C2semidirect
17. #19146118C2semidirect
18. #19146115C2semidirect
19. #19145261C2semidirect
20. #19145210C2semidirect
21. #19145202C2semidirect
22. #19144876C2semidirect
23. #19144855C2semidirect
24. #19144813C2semidirect
25. #19144777C2semidirect
26. #19144758C2semidirect
27. #19143575C2semidirect
28. #19143467C2semidirect
29. #19143424C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3114C2semidirect
36. #14583619C22semidirect
37. #14583618C22semidirect
38. #14583605C22semidirect
40. #14583604C22semidirect
45. #14583587C22semidirect
50. D4×Dic86C22semidirect
57. #14583543C22semidirect
58. #14583542C22semidirect
60. #14583514C22semidirect
61. #14583514C22semidirect
62. #14583507C22semidirect
67. #14583456C22semidirect
73. #14583381C22semidirect
75. #14583378C22semidirect
76. #14583371C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583296C22semidirect
81. #14583294C22semidirect
82. #14583290C22semidirect
84. #14583269C22semidirect
85. #14583258C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583252C22semidirect
89. #14583248C22semidirect
90. #14583243C22semidirect
91. #14583241C22semidirect
92. #14583241C22semidirect
93. #14583236C22semidirect
94. #14583236C22semidirect
95. #14583231C22semidirect
96. #14583228C22semidirect
98. #14583216C22semidirect
99. #14583211C22semidirect
100. #14583205C22semidirect
101. #14583201C22semidirect
102. #14583195C22semidirect
103. #14583192C22semidirect
104. #14583190C22semidirect
105. #14583188C22semidirect
106. #14583187C22semidirect
107. #14583183C22semidirect
108. #14583178C22semidirect
109. #14583177C22semidirect
110. #14583158C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
113. #14583155C22semidirect
118. #14583141C22semidirect
119. #14583127C22semidirect
120. #14583127C22semidirect
122. #14583120C22semidirect
123. #14583119C22semidirect
128. #14583110C22semidirect
129. #14583108C22semidirect
130. #14583105C22semidirect
131. #14583102C22semidirect
132. #14583064C22semidirect
136. #14583062C22semidirect
138. #14583051C22semidirect
142. #14583028C22semidirect
143. #14583028C22semidirect
147. #14583007C22semidirect
148. #14583007C22semidirect
149. #14583001C22semidirect
150. #14583001C22semidirect
151. #14583000C22semidirect
152. #14582999C22semidirect
153. #14582999C22semidirect
154. #14582998C22semidirect
155. #14582996C22semidirect
156. C4×#10621885C22semidirect
157. C4×#10621885C22semidirect
158. #14582991C22semidirect
159. #14582986C22semidirect
160. C4×#10621883C22semidirect
161. C4×#10621883C22semidirect
162. C4×#10621883C22semidirect
163. C4×#10621883C22semidirect
169. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582969C22semidirect
173. #14582969C22semidirect
174. #14582961C22semidirect
175. #14582961C22semidirect
176. #14582939C22semidirect
177. #14582938C22semidirect
178. #107×D43C22semidirect
179. #14582904C22semidirect
180. #14582899C22semidirect
182. #14582897C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582856C22semidirect
187. C4×#10621877C22semidirect
189. C2×C4×D4×C43C22semidirect
190. C43×#483C22semidirect
192. C43×#478C22semidirect
193. C43×#478C22semidirect
196. C43×#450C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C43×#432C22semidirect
604. #10621882#41semidirect
872. #3114D43semidirect
934. C2×C4×D4C2×D43semidirect
954. #483C2×D43semidirect
961. #478C2×D43semidirect
962. #478C2×D43semidirect
1002. #450C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1045. #432C2×D43semidirect
1058. C43#61510semidirect

Maximal subgroups

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

subgroupindex
#191486572
#191486442
#191476732
#191474972
#191474252
#191473082
#191472032
#191470832
#191470422
#191469092
#191468002
#191466882
#191466792
#191466242
#191465632
#191462062
#191461182
#191461152
#191452612
#191452102
#191452022
#191448762
#191448552
#191448132
#191447772
#191447582
#191435752
#191434672
#191434242
C4×#130633512
C43×#31142
#6151043