Finite Group Databasebeta

← #25979754

Subgroups — #25979754

Order 11008.

1896 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148551C211yesmaximal, characteristic, complemented
2#19148535C211yesmaximal, characteristic, complemented
3#19147678C211yesmaximal, characteristic, complemented
4#19147489C211yesmaximal, characteristic, complemented
5#19147390C211yesmaximal, characteristic, complemented
6#19147341C211yesmaximal, characteristic, complemented
7#19147183C211yesmaximal, characteristic, complemented
8#19147147C211yesmaximal, characteristic, complemented
9#19147113C211yesmaximal, characteristic, complemented
10#19146830C211yesmaximal, characteristic, complemented
11#19146814C211yesmaximal, characteristic, complemented
12#19146744C211yesmaximal, characteristic, complemented
13#19146743C211yesmaximal, characteristic, complemented
14#19146628C211yesmaximal, characteristic, complemented
15#19146559C211yesmaximal, characteristic, complemented
16#19146206C211yesmaximal, characteristic, complemented
17#19146073C211yesmaximal, characteristic, complemented
18#19146070C211yesmaximal, characteristic, complemented
19#19145284C211yesmaximal, characteristic, complemented
20#19145210C211yesmaximal, characteristic, complemented
21#19145184C211yesmaximal, characteristic, complemented
22#19144876C211yesmaximal, characteristic, complemented
23#19144837C211yesmaximal, characteristic, complemented
24#19144777C211yesmaximal, characteristic, complemented
25#19144777C211yesmaximal, characteristic, complemented
26#19144706C211yesmaximal, characteristic, complemented
27#19143575C211yesmaximal, characteristic, complemented
28#19143444C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C4×#13063351C211yesmaximal, characteristic, complemented
31C43×#3109C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583635C2211yescharacteristic, complemented
36#14583632C2211yescharacteristic, complemented
37#14583623C2211yescharacteristic, complemented
38#14583613C2211yescharacteristic
39#14583613C2211yescharacteristic, complemented
40#14583608C2211yescharacteristic, complemented
41#14583599C2211yescharacteristic
42#14583598—21no—
43#14583584C2211yescharacteristic, complemented
44#14583578—21no—
45#14583578—21no—
46#14583578—21no—
47#14583575—21no—
48#14583564C2211yescharacteristic, complemented
49#14583556—21no—
50#14583550C2211yescharacteristic, complemented
51#14583546C2211yescharacteristic
52#14583546C2211yescharacteristic, complemented
53#14583544C2211yescharacteristic
54#14583543C2211yescharacteristic, complemented
55#14583539—21no—
56#14583537—21no—
57#14583534C2211yescharacteristic, complemented
58D4×C22⋊D43C2211yescharacteristic, complemented
59#14583514C2211yescharacteristic, complemented
60#14583514C2211yescharacteristic, complemented
61#14583514C2211yescharacteristic, complemented
62#14583500C2211yescharacteristic, complemented
63#14583491—21no—
64#14583482—21no—
65#14583481—21no—
66#14583481—21no—
67#14583433C2211yescharacteristic
68#14583433C2211yescharacteristic, complemented
69#14583428—21no—
70#124×D43—21no—
71#14583410—21no—
72C2×#13063308—21no—
73#14583378C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76#14583371C2211yescharacteristic, complemented
77C4×#10621898C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583282C2211yescharacteristic, complemented
84#14583263C2211yescharacteristic, complemented
85#14583261C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic, complemented
91#14583243C2211yescharacteristic, complemented
92#14583241C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583198C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic, complemented
105#14583188C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583177C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583158C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583150C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic
115#14583144C2211yescharacteristic, complemented
116#14583143C2211yescharacteristic, complemented
117#14583143C2211yescharacteristic, complemented
118#14583132C2211yescharacteristic, complemented
119#14583129C2211yescharacteristic, complemented
120#14583127C2211yescharacteristic, complemented
121#14583127C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583115C2211yescharacteristic, complemented
125#14583113C2211yescharacteristic, complemented
126#14583113C2211yescharacteristic, complemented
127#14583112C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583112C2211yescharacteristic, complemented
130#14583093C2211yescharacteristic
131#14583092C2211yescharacteristic, complemented
132#14583063C2211yescharacteristic, complemented
133#14583062C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic, complemented
135#14583051C2211yescharacteristic, complemented
136#14583046C2211yescharacteristic
137#14583041C2211yescharacteristic
138#14583034C2211yescharacteristic, complemented
139#14583031C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583028C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic, complemented
145#14583011C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic
150#14583007C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic, complemented
152#14583001C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582986C2211yescharacteristic, complemented
157C4×#10621883C2211yescharacteristic, complemented
158C4×#10621883C2211yescharacteristic, complemented
159C4×#10621883C2211yescharacteristic, complemented
160C4×#10621883C2211yescharacteristic, complemented
161D8×Dic43C2211yescharacteristic, complemented
162C4×#10621882C2211yescharacteristic
163C4×#10621882C2211yescharacteristic, complemented
164C4×#10621882C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic, complemented
168#14582974C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582973C2211yescharacteristic, complemented
171#14582973C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582961C2211yescharacteristic, complemented
176#14582939C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582904C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582898C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582856C2211yescharacteristic, complemented
187C4×#10621877C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic, complemented
189C2×C4×D4×C43C2211yescharacteristic, complemented
190C43×#481C2211yescharacteristic, complemented
191C43×#481C2211yescharacteristic, complemented
192C43×#476C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#459C2211yescharacteristic
195C43×#459C2211yescharacteristic, complemented
196C43×#447C2211yescharacteristic, complemented
197C43×#447C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C43×#432C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43—21no—
207C22×C22⋊D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212#13063351—24no—
213#13063349—24no—
214C2×Dic172C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226D8×D43—24no—
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×C8×D43C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063321C2311yescharacteristic
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#13063317D411yescharacteristic
248#13063317C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063314—21no—
252#13063313D411yescharacteristic
253#13063313C2311yescharacteristic
254#13063312—21no—
255#13063312—21no—
256#13063312—21no—
257#13063312C2311yescharacteristic
258#13063312C2311yescharacteristic
259#13063312C2311yescharacteristic
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063310—21no—
267#13063309—21no—
268#13063308—21no—
269#13063308—21no—
270#13063308—21no—
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308D411yescharacteristic
278#13063308D411yescharacteristic
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304—21no—
291#13063304—21no—
292#13063304—21no—
293#13063304D411yescharacteristic
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301—21no—
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063299D411yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319#13063295—21no—
320#13063294—21no—
321#13063294—21no—
322#13063293—21no—
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326#13063293—21no—
327Q8×Dic43—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287C2311yescharacteristic
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⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×Dic43⋊C4—21no—
373C2×Dic43⋊C4—21no—
374C4⋊C4×D43C2311yescharacteristic
375C2×C22⋊Dic43—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—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#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
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
438C2×#41×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C23×C4×C43—21no—
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#124×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×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
459C4×D4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C22⋊C4×C43—21no—
462C2×C42×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C22⋊C8×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C23×D43—21no—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—22no—
493C2×D4×C43—41no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—82no—
506C22×C4×C43C2×D411yescharacteristic
507C22×C4×C43C2×D411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—82no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529Q8×D43—82no—
530#10621900—22no—
531#10621900—41no—
532D4×D43—22no—
533D4×D43—22no—
534D4×D43—22no—
535D4×D43—41no—
536D4×D43—41no—
537D4×D43—41no—
538D4×D43—82no—
539#10621898—22no—
540#10621898—41no—
541#10621898—82no—
542C2×D172—21no—
543C2×D172C2×D411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43C2411yescharacteristic
555C2×C4×D43C2411yescharacteristic
556C2×Dic86—21no—
557C2×Dic86—21no—
558C2×Dic86—21no—
559C2×Dic86C2×D411yescharacteristic
560C2×Dic86C2411yescharacteristic
561C2×Dic86C2411yescharacteristic
562D8×C43—22no—
563D8×C43—22no—
564D8×C43—41no—
565D8×C43—41no—
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C42×C43C2×D411yescharacteristic
585C42×C43C2×D411yescharacteristic
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43C2×D411yescharacteristic
605C22⋊Dic43C2×D411yescharacteristic
606#10621883—22no—
607#10621883—22no—
608#10621883—22no—
609#10621883—41no—
610#10621882—22no—
611#10621882—22no—
612#10621882—41no—
613#10621882#4114yescomplemented
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)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2×D411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679#10621877—41no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—41no—
685D344—22no—
686#10621873—22no—
687#10621873—41no—
688#10621872—22no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—42no—
697C23×C43—42no—
698C23×C43—81no—
699C23×C43C22×D411yescharacteristic
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—42no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—42no—
722D4×C43—42no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43C2×#4112yes—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—41no—
734C2×C4×C43—41no—
735C2×C4×C43—42no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C2511yescharacteristic
748C22⋊D43—41no—
749C22⋊D43—41no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—42no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779D172—21no—
780D172—21no—
781D172—21no—
782D172—41no—
783D172—81no—
784D172C2×#4112yes—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797Dic86—21no—
798Dic86—21no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—81no—
803Dic86—81no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61505—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—22no—
817C22×C43—21no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—84no—
830C22×C43C23×D411yescharacteristic
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—21no—
835C2×D43—22no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43C22×#4111yescharacteristic
856C4×C43#58511yescharacteristic
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373—431no—
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306—431no—
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109D4311yescharacteristic, complemented
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—42no—
901C2×C43—41no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43—81no—
905C2×C43D4×#4111yescharacteristic
906C2×C43#358511yescharacteristic
907C2×C43#358511yescharacteristic
908D43—41no—
909D43—41no—
910D43—42no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#559—431no—
916#559—431no—
917#556—431no—
918#555—431no—
919#555—431no—
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8—431no—
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—431no—
934#546—431no—
935#546—861no—
936#546—861no—
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532C2×D4311yescharacteristic, complemented
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4C2×D4311yescharacteristic, complemented
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489—431no—
969#489—431no—
970#488—431no—
971#486—431no—
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#481C2×D4311yescharacteristic, complemented
983#481C2×D4311yescharacteristic, complemented
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476C2×D4311yescharacteristic, complemented
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463—431no—
1015#463—431no—
1016#459—431no—
1017#459—431no—
1018#459C2×D4311yescharacteristic
1019#459C2×D4311yescharacteristic, complemented
1020#452—431no—
1021#452—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447C2×D4311yescharacteristic, complemented
1031#447C2×D4311yescharacteristic, complemented
1032#446—431no—
1033#446—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#442C2×D4311yescharacteristic, complemented
1042#442C2×D4311yescharacteristic, complemented
1043#442C2×D4311yescharacteristic, complemented
1044#441—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432C2×D4311yescharacteristic, complemented
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—21no—
1085C2×#41—431no—
1086C2×#41—431no—
1087C2×#41—861no—
1088C22×Q8—861no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4C22×D4311yescharacteristic
1095C23×C4—21no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—864no—
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—21no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—431no—
1158#123—431no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192#121—21no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4C22×D4311yescharacteristic
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—861no—
1291C2×C42C22×D4311yescharacteristic
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8C22×D4311yescharacteristic
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8C22×D4311yescharacteristic
1351C22⋊C8C22×D4311yescharacteristic
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8—431no—
1362C24—21no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—82no—
1367#41—862no—
1368#41—862no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8—861no—
1377C2×Q8—861no—
1378C2×Q8—861no—
1379C2×Q8—3442no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—41no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—82no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4D4×D4311yescharacteristic
1441C22×C4D4×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443Q16—1721no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—22no—
1451D8—22no—
1452D8—41no—
1453D8—41no—
1454D8—434no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—431no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C42—431no—
1560C42—431no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42D4×D4311yescharacteristic
1570C42D4×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—81no—
1580C23—431no—
1581C23—431no—
1582C23—861no—
1583C23—861no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—3441no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23C2×D4×D4311yescharacteristic
1594Q8—42no—
1595Q8—861no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—3441no—
1602Q8—1721no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—42no—
1611D4—42no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—432no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—1721no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—431no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4—1722no—
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—432no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—84no—
1710C22—861no—
1711C22—861no—
1712C22—862no—
1713C22—861no—
1714C22—861no—
1715C22—861no—
1716C22—861no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373511yescharacteristic
1749C2—41no—
1750C2—42no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2—3441no—
1755C2—1721no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914807811yescharacteristic
1759C2#1914937111yescharacteristic
1760C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3109C2
socleC22×C43C23×D4
hypercenter#3109D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3109

Complements

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

NH ≅ G/Ntype
1. #19148551C2semidirect
2. #19148535C2semidirect
3. #19147678C2semidirect
4. #19147489C2semidirect
5. #19147390C2semidirect
6. #19147341C2semidirect
7. #19147183C2semidirect
8. #19147147C2semidirect
9. #19147113C2semidirect
10. #19146830C2semidirect
11. #19146814C2semidirect
12. #19146744C2semidirect
13. #19146743C2semidirect
14. #19146628C2semidirect
15. #19146559C2semidirect
16. #19146206C2semidirect
17. #19146073C2semidirect
18. #19146070C2semidirect
19. #19145284C2semidirect
20. #19145210C2semidirect
21. #19145184C2semidirect
22. #19144876C2semidirect
23. #19144837C2semidirect
24. #19144777C2semidirect
25. #19144777C2semidirect
26. #19144706C2semidirect
27. #19143575C2semidirect
28. #19143444C2semidirect
29. #19143424C2semidirect
30. C4×#13063351C2semidirect
31. C43×#3109C2semidirect
35. #14583635C22semidirect
36. #14583632C22semidirect
37. #14583623C22semidirect
39. #14583613C22semidirect
40. #14583608C22semidirect
43. #14583584C22semidirect
48. #14583564C22semidirect
50. #14583550C22semidirect
52. #14583546C22semidirect
54. #14583543C22semidirect
57. #14583534C22semidirect
58. D4×C22⋊D43C22semidirect
59. #14583514C22semidirect
60. #14583514C22semidirect
61. #14583514C22semidirect
62. #14583500C22semidirect
68. #14583433C22semidirect
73. #14583378C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. #14583371C22semidirect
77. C4×#10621898C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583296C22semidirect
81. #14583287C22semidirect
82. #14583286C22semidirect
83. #14583282C22semidirect
84. #14583263C22semidirect
85. #14583261C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583252C22semidirect
89. #14583244C22semidirect
90. #14583243C22semidirect
91. #14583243C22semidirect
92. #14583241C22semidirect
93. #14583231C22semidirect
94. #14583225C22semidirect
95. #14583224C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583221C22semidirect
99. #14583216C22semidirect
100. #14583207C22semidirect
101. #14583201C22semidirect
102. #14583200C22semidirect
103. #14583198C22semidirect
104. #14583188C22semidirect
105. #14583188C22semidirect
106. #14583187C22semidirect
107. #14583183C22semidirect
108. #14583177C22semidirect
109. #14583177C22semidirect
110. #14583158C22semidirect
111. #14583151C22semidirect
112. #14583150C22semidirect
113. #14583150C22semidirect
115. #14583144C22semidirect
116. #14583143C22semidirect
117. #14583143C22semidirect
118. #14583132C22semidirect
119. #14583129C22semidirect
120. #14583127C22semidirect
121. #14583127C22semidirect
122. #14583122C22semidirect
123. #14583120C22semidirect
124. #14583115C22semidirect
125. #14583113C22semidirect
126. #14583113C22semidirect
127. #14583112C22semidirect
128. #14583112C22semidirect
129. #14583112C22semidirect
131. #14583092C22semidirect
132. #14583063C22semidirect
133. #14583062C22semidirect
134. #14583051C22semidirect
135. #14583051C22semidirect
138. #14583034C22semidirect
141. #14583031C22semidirect
142. #14583028C22semidirect
143. #14583028C22semidirect
144. #14583012C22semidirect
145. #14583011C22semidirect
146. #14583010C22semidirect
148. #14583009C22semidirect
150. #14583007C22semidirect
151. #14583001C22semidirect
152. #14583001C22semidirect
153. #14582999C22semidirect
154. #14582999C22semidirect
155. #14582996C22semidirect
156. #14582986C22semidirect
157. C4×#10621883C22semidirect
158. C4×#10621883C22semidirect
159. C4×#10621883C22semidirect
160. C4×#10621883C22semidirect
161. D8×Dic43C22semidirect
163. C4×#10621882C22semidirect
164. C4×#10621882C22semidirect
165. C4×#10621882C22semidirect
167. #14582979C22semidirect
168. #14582974C22semidirect
169. #14582974C22semidirect
170. #14582973C22semidirect
171. #14582973C22semidirect
172. #14582969C22semidirect
173. #14582969C22semidirect
174. #14582961C22semidirect
175. #14582961C22semidirect
176. #14582939C22semidirect
177. #14582938C22semidirect
178. #14582934C22semidirect
179. #14582904C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582898C22semidirect
183. #14582892C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582856C22semidirect
187. C4×#10621877C22semidirect
188. C43×#532C22semidirect
189. C2×C4×D4×C43C22semidirect
190. C43×#481C22semidirect
191. C43×#481C22semidirect
192. C43×#476C22semidirect
193. C43×#476C22semidirect
195. C43×#459C22semidirect
196. C43×#447C22semidirect
197. C43×#447C22semidirect
198. C43×#442C22semidirect
199. C43×#442C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C43×#432C22semidirect
613. #10621882#41semidirect
895. #3109D43semidirect
947. #532C2×D43semidirect
959. C2×C4×D4C2×D43semidirect
982. #481C2×D43semidirect
983. #481C2×D43semidirect
991. #476C2×D43semidirect
992. #476C2×D43semidirect
1019. #459C2×D43semidirect
1030. #447C2×D43semidirect
1031. #447C2×D43semidirect
1040. #442C2×D43semidirect
1041. #442C2×D43semidirect
1042. #442C2×D43semidirect
1043. #442C2×D43semidirect
1070. #432C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485512
#191485352
#191476782
#191474892
#191473902
#191473412
#191471832
#191471472
#191471132
#191468302
#191468142
#191467442
#191467432
#191466282
#191465592
#191462062
#191460732
#191460702
#191452842
#191452102
#191451842
#191448762
#191448372
#191447772
#191447062
#191435752
#191434442
#191434242
C4×#130633512
C43×#31092
#6150543