Finite Group Databasebeta

← #25983186

Subgroups — #25983186

Order 11008.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148884C211yesmaximal, characteristic, complemented
2#19148273C211yesmaximal, characteristic, complemented
3#19146910C211yesmaximal, characteristic, complemented
4#19146877C211yesmaximal, characteristic, complemented
5#19146855C211yesmaximal, characteristic, complemented
6#19146818C211yesmaximal, characteristic, complemented
7#19146705C211yesmaximal, characteristic, complemented
8#19146653C211yesmaximal, characteristic, complemented
9#19146630C211yesmaximal, characteristic, complemented
10#19146578C211yesmaximal, characteristic, complemented
11#19146250C211yesmaximal, characteristic, complemented
12#19146244C211yesmaximal, characteristic, complemented
13#19146236C211yesmaximal, characteristic, complemented
14#19146225C211yesmaximal, characteristic, complemented
15#19146164C211yesmaximal, characteristic, complemented
16#19146160C211yesmaximal, characteristic, complemented
17#19146149C211yesmaximal, characteristic, complemented
18#19146115C211yesmaximal, characteristic, complemented
19#19145678C211yesmaximal, characteristic, complemented
20#19145504C211yesmaximal, characteristic, complemented
21#19145476C211yesmaximal, characteristic, complemented
22#19145422C211yesmaximal, characteristic, complemented
23#19145417C211yesmaximal, characteristic, complemented
24#19144866C211yesmaximal, characteristic, complemented
25#19144811C211yesmaximal, characteristic, complemented
26#19143905C211yesmaximal, characteristic, complemented
27#19143885C211yesmaximal, characteristic, complemented
28#19143852C211yesmaximal, characteristic, complemented
29#19143833C211yesmaximal, characteristic, complemented
30#19143656C211yesmaximal, characteristic, complemented
31C43×#3225C211yesmaximal, characteristic, complemented
32C2×#13063373C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic
37C2×#13063354C2211yescharacteristic
38C2×#13063354C2211yescharacteristic, complemented
39C2×#13063349C2211yescharacteristic
40C2×#13063346C2211yescharacteristic, complemented
41C2×Q16×D43C2211yescharacteristic, complemented
42#14583651—21no—
43#14583645—21no—
44#14583623C2211yescharacteristic
45#14583610C2211yescharacteristic, complemented
46#14583607—21no—
47#14583600—21no—
48#14583599C2211yescharacteristic, complemented
49#14583590C2211yescharacteristic
50Q8×D172C2211yescharacteristic, complemented
51#14583564C2211yescharacteristic
52#14583564C2211yescharacteristic
53#14583557C2211yescharacteristic
54#14583557C2211yescharacteristic
55#14583557C2211yescharacteristic
56#14583557C2211yescharacteristic, complemented
57#14583553C2211yescharacteristic
58#14583552C2211yescharacteristic
59#14583552C2211yescharacteristic
60#14583547—21no—
61#14583547—21no—
62#14583542C2211yescharacteristic
63#14583542C2211yescharacteristic
64#14583541—21no—
65#14583541—21no—
66#14583518—21no—
67#14583511C2211yescharacteristic, complemented
68#14583493—21no—
69#14583485—21no—
70#14583483—21no—
71#14583479—21no—
72#14583478C2211yescharacteristic, complemented
73#14583477C2211yescharacteristic
74#14583472—21no—
75#14583472C2211yescharacteristic, complemented
76#14583412—21no—
77#14583411C2211yescharacteristic
78#14583409C2211yescharacteristic
79C2×#13063301C2211yescharacteristic
80C22⋊Q8×D43—21no—
81C22⋊Q8×D43C2211yescharacteristic
82#14583379C2211yescharacteristic
83#14583294C2211yescharacteristic, complemented
84#14583278C2211yescharacteristic, complemented
85#14583267C2211yescharacteristic, complemented
86#14583253C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic
88#14583239C2211yescharacteristic
89#14583239C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583230C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583227C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583186C2211yescharacteristic, complemented
102#14583181C2211yescharacteristic, complemented
103#14583156C2211yescharacteristic
104#14583156C2211yescharacteristic
105#14583156C2211yescharacteristic, complemented
106#14583156C2211yescharacteristic, complemented
107#14583156C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic, complemented
109#14583154C2211yescharacteristic
110#14583154C2211yescharacteristic
111#14583149C2211yescharacteristic, complemented
112#14583142C2211yescharacteristic, complemented
113#14583142C2211yescharacteristic, complemented
114#14583142C2211yescharacteristic, complemented
115#14583137C2211yescharacteristic, complemented
116#14583127C2211yescharacteristic, complemented
117#14583127C2211yescharacteristic, complemented
118#14583125C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583106C2211yescharacteristic, complemented
125#14583106C2211yescharacteristic, complemented
126#14583105C2211yescharacteristic, complemented
127#14583064C2211yescharacteristic
128#14583064C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583061C2211yescharacteristic
134#14583061C2211yescharacteristic
135#14583060C2211yescharacteristic, complemented
136#14583059C2211yescharacteristic
137#14583058C2211yescharacteristic
138#14583058C2211yescharacteristic
139#14583058C2211yescharacteristic, complemented
140#14583056C2211yescharacteristic
141#14583056C2211yescharacteristic, complemented
142#14583056C2211yescharacteristic, complemented
143#14583055C2211yescharacteristic, complemented
144#14583055C2211yescharacteristic, complemented
145#14583053C2211yescharacteristic
146#14583053C2211yescharacteristic, complemented
147#14583053C2211yescharacteristic, complemented
148#14583053C2211yescharacteristic, complemented
149#14583053C2211yescharacteristic, complemented
150#14583051C2211yescharacteristic
151#14583048C2211yescharacteristic
152#14583043C2211yescharacteristic
153#14583043C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic
155#14583041C2211yescharacteristic
156#14583041C2211yescharacteristic, complemented
157#14583036C2211yescharacteristic, complemented
158#14583036C2211yescharacteristic, complemented
159#14583009C2211yescharacteristic, complemented
160#14583007C2211yescharacteristic, complemented
161#14583004C2211yescharacteristic, complemented
162#14583001C2211yescharacteristic, complemented
163C4×Dic172C2211yescharacteristic, complemented
164C4×#10621873C2211yescharacteristic, complemented
165C4×#10621884C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic
168#14582978C2211yescharacteristic, complemented
169#14582976C2211yescharacteristic
170#14582976C2211yescharacteristic, complemented
171#14582972C2211yescharacteristic
172#14582972C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic
174#14582969C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic, complemented
178#14582902C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic, complemented
181#14582897C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic
187#14582861C2211yescharacteristic
188C43×#542C2211yescharacteristic, complemented
189C43×#536C2211yescharacteristic
190C43×#497C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic
199C43×#451C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#448C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203#13063373—42no—
204#13063373—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621898—21no—
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898C2311yescharacteristic
213C2×#10621898C2311yescharacteristic
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218#41×D43—42no—
219#41×D43—42no—
220C2×Q8×D43—21no—
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×Q8×D43C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×D4×D43—21no—
227C2×D4×D43C2311yescharacteristic
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063357—42no—
231#13063357—42no—
232#13063354—42no—
233#13063354—42no—
234#13063354—42no—
235#13063349—42no—
236#13063346—42no—
237C2×Dic172C2311yescharacteristic
238C2×Dic172C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621885C2311yescharacteristic
242C2×#10621885C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246Q16×D43—42no—
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621883C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621884C2311yescharacteristic
253C2×#10621882C2311yescharacteristic
254C2×#10621872C2311yescharacteristic
255C2×#10621872C2311yescharacteristic
256C2×#10621872C2311yescharacteristic
257C2×#10621872C2311yescharacteristic
258C2×#10621872C2311yescharacteristic
259C2×#10621872C2311yescharacteristic
260C2×C8×D43C2311yescharacteristic
261C2×C8×D43C2311yescharacteristic
262#13063325—21no—
263#13063325C2311yescharacteristic
264#13063324—21no—
265#13063324—21no—
266#13063324—21no—
267#13063320—21no—
268#13063320—21no—
269#13063319—21no—
270#13063318—21no—
271#13063318—21no—
272#13063318—21no—
273#13063317C2311yescharacteristic
274#13063316—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063314—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063309—21no—
291#13063309—21no—
292#13063309D411yescharacteristic
293#13063309D411yescharacteristic
294#13063308—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063305—21no—
300#13063305—21no—
301#13063305D411yescharacteristic
302#13063305D411yescharacteristic
303#13063305C2311yescharacteristic
304#13063305C2311yescharacteristic
305#13063305C2311yescharacteristic
306#13063305C2311yescharacteristic
307#13063304—21no—
308#13063304C2311yescharacteristic
309#13063304C2311yescharacteristic
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063303—21no—
314#13063303—21no—
315#13063302—21no—
316#13063302—21no—
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063301—21no—
322#13063301—21no—
323#13063301—21no—
324#13063301—21no—
325#13063301C2311yescharacteristic
326#13063301C2311yescharacteristic
327#13063301C2311yescharacteristic
328#13063301C2311yescharacteristic
329#13063301C2311yescharacteristic
330#13063301C2311yescharacteristic
331#13063301C2311yescharacteristic
332#13063301C2311yescharacteristic
333#13063300—21no—
334#13063300—21no—
335#13063300D411yescharacteristic
336#13063300D411yescharacteristic
337#13063299—21no—
338#13063299—21no—
339#13063298—21no—
340#13063298—21no—
341#13063298—21no—
342#13063298—21no—
343#13063298—21no—
344#13063298—21no—
345#13063298—21no—
346#13063298—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063296—21no—
351#13063296C2311yescharacteristic
352#13063296C2311yescharacteristic
353#13063296C2311yescharacteristic
354#13063296C2311yescharacteristic
355#13063295—21no—
356#13063295—21no—
357#13063295D411yescharacteristic
358#13063295D411yescharacteristic
359#13063293—21no—
360Q8×Dic43—21no—
361C4×Dic86C2311yescharacteristic
362C4×Dic86C2311yescharacteristic
363C4×Dic86C2311yescharacteristic
364C4×Dic86C2311yescharacteristic
365C4×D172—21no—
366C4×D172C2311yescharacteristic
367C4×D172C2311yescharacteristic
368C4×D172C2311yescharacteristic
369C4×D172C2311yescharacteristic
370C4×D172C2311yescharacteristic
371C4×D172C2311yescharacteristic
372D4×Dic43—21no—
373#13063287—21no—
374#13063287—21no—
375#13063287—21no—
376C4×C22⋊D43—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381(C22⋊D43)⋊C4—21no—
382(C22⋊D43)⋊C4—21no—
383(C22⋊D43)⋊C4—21no—
384#13063283—21no—
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387#13063282—21no—
388C2×C4⋊Dic43—21no—
389C2×C4⋊Dic43C2311yescharacteristic
390C2×Dic43⋊C4—21no—
391C4⋊C4×D43—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43—21no—
394C4⋊C4×D43—21no—
395C4⋊C4×D43C2311yescharacteristic
396C4⋊C4×D43C2311yescharacteristic
397C2×(C2×D43)⋊C4—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401#13063259C2311yescharacteristic
402#13063259C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063257C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063249C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444(C2×D43)⋊C8C2311yescharacteristic
445#13063236C2311yescharacteristic
446C4×C43⋊C8C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×Q16×C43C2311yescharacteristic
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×D8×C43C2311yescharacteristic
457C4⋊Q8×C43C2311yescharacteristic
458C4⋊Q8×C43C2311yescharacteristic
459C4⋊Q8×C43C2311yescharacteristic
460#126×C43—21no—
461#124×C43—21no—
462#124×C43C2311yescharacteristic
463#124×C43C2311yescharacteristic
464#124×C43C2311yescharacteristic
465#123×C43—21no—
466#123×C43—21no—
467#123×C43—21no—
468C22⋊Q8×C43—21no—
469C22⋊Q8×C43—21no—
470C22⋊Q8×C43—21no—
471C22⋊Q8×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473C4×Q8×C43C2311yescharacteristic
474C4×D4×C43C2311yescharacteristic
475#117×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488#97×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—41no—
493#41×C43—41no—
494C2×Q8×C43—21no—
495C2×Q8×C43—21no—
496C2×Q8×C43—41no—
497C2×Q8×C43—41no—
498C2×Q8×C43C2411yescharacteristic
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43C2×D411yescharacteristic
526#10621902—22no—
527#10621902—22no—
528#10621902—22no—
529#10621902—41no—
530#10621902—41no—
531#10621902—41no—
532#10621902—44no—
533Q8×D43—22no—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—41no—
537Q8×D43—41no—
538Q8×D43—41no—
539Q8×D43—41no—
540Q8×D43—41no—
541Q8×D43—41no—
542Q8×D43—41no—
543Q8×D43—44no—
544#10621900—22no—
545#10621900—41no—
546#10621900—41no—
547#10621900—41no—
548#10621900—41no—
549#10621900—41no—
550#10621900—44no—
551D4×D43—22no—
552D4×D43—41no—
553D4×D43—44no—
554#10621898—22no—
555#10621898—22no—
556#10621898—41no—
557#10621898—41no—
558#10621898—44no—
559#10621898—44no—
560#10621898—44no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172C2×D411yescharacteristic
565C2×D172C2×D411yescharacteristic
566C2×D172C2×D411yescharacteristic
567C2×D172C2×D411yescharacteristic
568C2×D172C2×D411yescharacteristic
569C2×D172C2411yescharacteristic
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—41no—
584C2×C4×D43—41no—
585C2×C4×D43—44no—
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×C4×D43C2411yescharacteristic
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86—21no—
595C2×Dic86—21no—
596C2×Dic86—21no—
597C2×Dic86C2×D411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601Q16×C43—41no—
602Q16×C43—41no—
603Q16×C43—41no—
604SD16×C43—41no—
605SD16×C43—41no—
606SD16×C43—41no—
607SD16×C43—41no—
608D8×C43—41no—
609C2×C8×C43C2411yescharacteristic
610C2×C8×C43C2411yescharacteristic
611C2×C8×C43C2411yescharacteristic
612C2×C8×C43C2411yescharacteristic
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43C2×D411yescharacteristic
621C4⋊C4×C43C2×D411yescharacteristic
622C4⋊C4×C43C2411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43—21no—
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43C2×D411yescharacteristic
634C22⋊C4×C43C2×D411yescharacteristic
635C42×C43—21no—
636C42×C43C2411yescharacteristic
637C42×C43C2411yescharacteristic
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644#10621885—22no—
645#10621885—41no—
646#10621885—41no—
647#10621885—41no—
648#10621885—41no—
649#10621885—41no—
650#10621885—41no—
651#10621884—22no—
652#10621883—22no—
653#10621883—41no—
654#10621883—41no—
655#10621882—22no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4C2×D411yescharacteristic
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
679(C2×D43)⋊C4C2×D411yescharacteristic
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43C2×D411yescharacteristic
688C4⋊Dic43C2×D411yescharacteristic
689C4⋊Dic43C2×D411yescharacteristic
690C4⋊Dic43C2×D411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692C4⋊Dic43C2411yescharacteristic
693C4⋊Dic43C2411yescharacteristic
694C4⋊Dic43C2411yescharacteristic
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723Dic172—22no—
724Dic172—22no—
725#10621873—22no—
726#10621873—22no—
727#10621872—41no—
728#10621872—41no—
729#10621872—41no—
730#10621872—41no—
731#10621872—41no—
732#10621872—41no—
733C8×D43—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43C22×D411yescharacteristic
738C22×D43—21no—
739C22×D43—41no—
740C22×D43—41no—
741C22×D43—41no—
742C22×D43—42no—
743C22×D43—42no—
744C22×D43—81no—
745C22×D43C22×D411yescharacteristic
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—21no—
754Q8×C43—21no—
755Q8×C43—21no—
756Q8×C43—21no—
757Q8×C43—42no—
758Q8×C43—81no—
759D4×C43—21no—
760D4×C43—21no—
761D4×C43—21no—
762D4×C43—21no—
763D4×C43—42no—
764D4×C43—81no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—42no—
774C2×C4×C43—42no—
775C2×C4×C43—81no—
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C22×D411yescharacteristic
779C2×C4×C43C22×D411yescharacteristic
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C2511yescharacteristic
782C22⋊D43—24no—
783C22⋊D43—41no—
784C22⋊D43—41no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C22⋊D43—81no—
792C22⋊D43—81no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—41no—
801C2×Dic43—42no—
802C2×Dic43—81no—
803C2×Dic43—81no—
804C2×Dic43—81no—
805C2×Dic43C22×D411yescharacteristic
806C2×Dic43C22×D411yescharacteristic
807C2×Dic43C22×D411yescharacteristic
808C2×Dic43C22×D411yescharacteristic
809D172—21no—
810D172—41no—
811D172—41no—
812D172—41no—
813D172—41no—
814D172—41no—
815D172—42no—
816D172—42no—
817D172—42no—
818D172H(5,𝔽2)12yes—
819C4×D43—24no—
820C4×D43—21no—
821C4×D43—21no—
822C4×D43—21no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—21no—
826C4×D43—21no—
827C4×D43—21no—
828C4×D43—41no—
829C4×D43—41no—
830C4×D43—42no—
831C4×D43—42no—
832C4×D43—42no—
833C4×D43—42no—
834C4×D43—42no—
835C4×D43—42no—
836C4×D43—81no—
837C4×D43—81no—
838C4×D43—81no—
839C4×D43—81no—
840C4×D43—81no—
841C4×D43—81no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—41no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—81no—
852Dic86—81no—
853Dic86H(5,𝔽2)12yes—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C8×C43—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861C43⋊C8—21no—
862#61655—431nomaximal, Sylow
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—21no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43C23×D411yescharacteristic
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—21no—
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—22no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—82no—
889C2×D43—84no—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43—41no—
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902C4×C43C2×H(5,𝔽2)11yescharacteristic
903Dic43—22no—
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—21no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914#3541—431no—
915#3489—431no—
916#3331—431no—
917#3328—431no—
918#3326—431no—
919#3323—431no—
920#3316—431no—
921#3312—431no—
922#3311—431no—
923#3307—431no—
924#3277—431no—
925#3276—431no—
926#3276—431no—
927#3275—431no—
928#3270—431no—
929#3270—431no—
930#3269—431no—
931#3267—431no—
932#3225D4311yescharacteristic, complemented
933#3223—431no—
934#3204—431no—
935#3201—431no—
936#3196—431no—
937#3195—431no—
938#3125—431no—
939#3120—431no—
940#3013—431no—
941#3011—431no—
942#3007—431no—
943#3005—431no—
944#2978—431no—
945C2×C43—41no—
946C2×C43—81no—
947C2×C43—81no—
948C2×C43#348411yescharacteristic
949C2×C43#358611yescharacteristic
950C2×C43#358611yescharacteristic
951D43—41no—
952D43—41no—
953D43—41no—
954D43—41no—
955D43—42no—
956C2×2−1+4—431no—
957C22×#41—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×#137—431no—
962C2×#137—431no—
963C2×AGL(1,ℤ/8)—431no—
964C2×#135—431no—
965C22×Q16—431no—
966#563—861no—
967#562—861no—
968#556—431no—
969#554—431no—
970#554—861no—
971#553—431no—
972#553—861no—
973#552—431no—
974D4×Q8—431no—
975D4×Q8—431no—
976D4×Q8—431no—
977#548—431no—
978#548—431no—
979#548—431no—
980#548—431no—
981#547—431no—
982#547—431no—
983#547—431no—
984#547—861no—
985#547—861no—
986#546—431no—
987#546—431no—
988#546—861no—
989#546—861no—
990#542—861no—
991#542C2×D4311yescharacteristic, complemented
992#541—431no—
993#539—861no—
994#538—861no—
995#538—861no—
996#537—431no—
997#537—431no—
998#537—861no—
999#536—431no—
1000#536—861no—
1001#536C2×D4311yescharacteristic
1002#525—431no—
1003#525—431no—
1004#525—861no—
1005C2×C22⋊Q8—431no—
1006C2×C22⋊Q8—431no—
1007C2×C22⋊Q8—861no—
1008#520—431no—
1009#497—431no—
1010#497C2×D4311yescharacteristic, complemented
1011#495C2×D4311yescharacteristic, complemented
1012#494—431no—
1013#491—431no—
1014#489C2×D4311yescharacteristic, complemented
1015#488—431no—
1016#487C2×D4311yescharacteristic, complemented
1017#485—431no—
1018#485—431no—
1019#485—431no—
1020#484—431no—
1021#483—431no—
1022#483—431no—
1023#483—431no—
1024#483—431no—
1025#483—431no—
1026#482—431no—
1027#481—431no—
1028#481—431no—
1029#479—431no—
1030#478—431no—
1031#476—431no—
1032#475—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#470—431no—
1039#470—431no—
1040#470—431no—
1041#469—431no—
1042#468—431no—
1043#468—431no—
1044#468—431no—
1045#467—431no—
1046#465—431no—
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464C2×D4311yescharacteristic, complemented
1053#463—431no—
1054#463C2×D4311yescharacteristic, complemented
1055#462—431no—
1056#462—431no—
1057#462—431no—
1058#462C2×D4311yescharacteristic, complemented
1059#461—431no—
1060#461C2×D4311yescharacteristic, complemented
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452C2×D4311yescharacteristic
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451—431no—
1079#451—431no—
1080#451—431no—
1081#451—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451C2×D4311yescharacteristic, complemented
1086#450—431no—
1087#450—431no—
1088#449—431no—
1089#449—431no—
1090#449—431no—
1091#449—431no—
1092#449—431no—
1093#449C2×D4311yescharacteristic
1094#448—431no—
1095#448—431no—
1096#448C2×D4311yescharacteristic, complemented
1097#442—431no—
1098#441—431no—
1099#441—431no—
1100#440—431no—
1101C4×Q16—431no—
1102C4×SD16—431no—
1103C4×SD16—431no—
1104C4×SD16—431no—
1105#436—431no—
1106#436—431no—
1107#436—431no—
1108#436—431no—
1109#435—431no—
1110#435—431no—
1111#435—431no—
1112#435—431no—
1113#433—431no—
1114#433C2×D4311yescharacteristic, complemented
1115#419—431no—
1116#419—431no—
1117#418—431no—
1118#417—431no—
1119#417—431no—
1120#417—431no—
1121#416—431no—
1122C2×#103—431no—
1123#408—431no—
1124#408—431no—
1125#407—431no—
1126#407—431no—
1127C43#6165511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41—1722no—
1144C2×#41—1722no—
1145C2×#41C22×D4311yescharacteristic
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—431no—
1149C22×Q8—431no—
1150C22×Q8—431no—
1151C22×Q8—861no—
1152C22×Q8C22×D4311yescharacteristic
1153C22×D4—431no—
1154C22×D4—861no—
1155C23×C4—431no—
1156C23×C4—861no—
1157#137—1722no—
1158#137—1722no—
1159#137—1722no—
1160#137—1722no—
1161#137—1722no—
1162AGL(1,ℤ/8)—1722no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—431no—
1173C2×Q16—1722no—
1174C2×Q16C22×D4311yescharacteristic
1175C2×Q16C22×D4311yescharacteristic
1176C2×Q16C22×D4311yescharacteristic
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16C22×D4311yescharacteristic
1184C2×SD16C22×D4311yescharacteristic
1185C2×SD16C22×D4311yescharacteristic
1186C2×SD16C22×D4311yescharacteristic
1187C2×D8—431no—
1188C2×D8C22×D4311yescharacteristic
1189C2×M16—431no—
1190C2×M16—431no—
1191C2×M16—431no—
1192C2×M16—431no—
1193C2×M16—431no—
1194C2×M16—431no—
1195C22×C8—431no—
1196C22×C8—431no—
1197C4⋊Q8—431no—
1198C4⋊Q8—861no—
1199C4⋊Q8—861no—
1200C4⋊Q8—861no—
1201C4⋊Q8—861no—
1202C4⋊Q8C22×D4311yescharacteristic
1203C4⋊Q8C22×D4311yescharacteristic
1204C4⋊Q8C22×D4311yescharacteristic
1205#126—21no—
1206#126—861no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#125—431no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#125—861no—
1217#124—21no—
1218#124—861no—
1219#124—861no—
1220#124—861no—
1221#124—861no—
1222#124—861no—
1223#124—861no—
1224#124C22×D4311yescharacteristic
1225#124C22×D4311yescharacteristic
1226#124C22×D4311yescharacteristic
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—431no—
1231#123—431no—
1232#123—861no—
1233#123—861no—
1234#123—861no—
1235#123—861no—
1236#123—861no—
1237#123—861no—
1238#123—861no—
1239#123—861no—
1240#123—861no—
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—431no—
1249C22⋊Q8—431no—
1250C22⋊Q8—431no—
1251C22⋊Q8—431no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—431no—
1263C22⋊Q8—431no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8—861no—
1281C22⋊Q8—861no—
1282C22⋊Q8C22×D4311yescharacteristic
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121C22×D4311yescharacteristic
1306#120—431no—
1307#120—431no—
1308#120—861no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—861no—
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—431no—
1318C4×D4—431no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—861no—
1324C4×D4—861no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4C22×D4311yescharacteristic
1337#117—431no—
1338#117—431no—
1339#117—861no—
1340#117—861no—
1341#117C22×D4311yescharacteristic
1342C2×C4⋊C4—431no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—431no—
1345C2×C4⋊C4—861no—
1346C2×C4⋊C4—861no—
1347C2×C4⋊C4—861no—
1348C2×C4⋊C4—861no—
1349C2×C4⋊C4—861no—
1350C2×C4⋊C4—861no—
1351C2×C22⋊C4—861no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C22⋊C4—861no—
1355#107—431no—
1356#107—431no—
1357#106—431no—
1358#106—431no—
1359#106—431no—
1360#106—431no—
1361#106—431no—
1362#106—431no—
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8C22×D4311yescharacteristic
1366C4⋊C8C22×D4311yescharacteristic
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103C22×D4311yescharacteristic
1384#103C22×D4311yescharacteristic
1385#103C22×D4311yescharacteristic
1386#103C22×D4311yescharacteristic
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8C22×D4311yescharacteristic
1410C22⋊C8C22×D4311yescharacteristic
1411#97—431no—
1412#97C22×D4311yescharacteristic
1413C4×C8—431no—
1414C4×C8C22×D4311yescharacteristic
1415C24—431no—
1416C24—861no—
1417#41—41no—
1418#41—41no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—1721no—
1426#41—1721no—
1427#41—1724no—
1428#41—1724no—
1429#41—1724no—
1430#41—1721no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1721no—
1437#41—1721no—
1438#41—1724no—
1439#41—1724no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—41no—
1443C2×Q8—41no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—431no—
1447C2×Q8—431no—
1448C2×Q8—861no—
1449C2×Q8—861no—
1450C2×Q8—861no—
1451C2×Q8—861no—
1452C2×Q8—861no—
1453C2×Q8—862no—
1454C2×Q8—862no—
1455C2×Q8—862no—
1456C2×Q8—1721no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8—1721no—
1460C2×Q8—1721no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1724no—
1464C2×Q8C23×D4311yescharacteristic
1465C2×Q8C23×D4311yescharacteristic
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—431no—
1471C2×D4—431no—
1472C2×D4—431no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—862no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—1721no—
1492C2×D4—1724no—
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
1503C22×C4—431no—
1504C22×C4—431no—
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—1721no—
1523C22×C4—1721no—
1524C22×C4—1724no—
1525C22×C4C23×D4311yescharacteristic
1526Q16—41no—
1527Q16—41no—
1528Q16—41no—
1529Q16—862no—
1530Q16—862no—
1531Q16—862no—
1532Q16—1721no—
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538SD16—41no—
1539SD16—41no—
1540SD16—41no—
1541SD16—41no—
1542SD16—862no—
1543SD16—862no—
1544SD16—862no—
1545SD16—862no—
1546SD16—1721no—
1547SD16—1721no—
1548D8—41no—
1549D8—862no—
1550M16—1721no—
1551M16—1721no—
1552M16—1721no—
1553M16—1721no—
1554M16—1721no—
1555M16—1721no—
1556C2×C8—431no—
1557C2×C8—431no—
1558C2×C8—431no—
1559C2×C8—431no—
1560C2×C8—1721no—
1561C2×C8—1721no—
1562C2×C8C23×D4311yescharacteristic
1563C2×C8C23×D4311yescharacteristic
1564C2×C8C23×D4311yescharacteristic
1565C2×C8C23×D4311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—431no—
1579C4⋊C4—431no—
1580C4⋊C4—431no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4D4×D4311yescharacteristic
1607C4⋊C4D4×D4311yescharacteristic
1608C4⋊C4C23×D4311yescharacteristic
1609C4⋊C4C23×D4311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4D4×D4311yescharacteristic
1650C22⋊C4D4×D4311yescharacteristic
1651C42—21no—
1652C42—861no—
1653C42—861no—
1654C42—861no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42C23×D4311yescharacteristic
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—431no—
1663C23—431no—
1664C23—431no—
1665C23—431no—
1666C23—861no—
1667C23—3441no—
1668C23—1721no—
1669C23—1721no—
1670C23—1721no—
1671C23—1722no—
1672C23—1722no—
1673C23C2×D4×D4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—42no—
1683Q8—81no—
1684Q8—432no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—861no—
1689Q8—861no—
1690Q8—3441no—
1691Q8—3441no—
1692Q8—1721no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8—1722no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—42no—
1701D4—81no—
1702D4—432no—
1703D4—864no—
1704D4—861no—
1705D4—3441no—
1706D4—3441no—
1707D4—3441no—
1708D4—3441no—
1709D4—3441no—
1710D4—1721no—
1711D4—1721no—
1712D4—1721no—
1713D4—1721no—
1714D4—1721no—
1715D4—1722no—
1716D4—1722no—
1717D4—1722no—
1718D4—1721no—
1719D4—1721no—
1720D4—1722no—
1721D4—1722no—
1722D4—1722no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—81no—
1734C2×C4—431no—
1735C2×C4—431no—
1736C2×C4—431no—
1737C2×C4—431no—
1738C2×C4—864no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3441no—
1755C2×C4—3441no—
1756C2×C4—3441no—
1757C2×C4—3441no—
1758C2×C4—3441no—
1759C2×C4—3441no—
1760C2×C4—3441no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—1721no—
1764C2×C4—1721no—
1765C2×C4—1722no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1721no—
1772C2×C4—1722no—
1773C2×C4C2×D4×D4311yescharacteristic
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C2×D4×D4311yescharacteristic
1778C2×C4C24×D4311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C8—861no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—861no—
1797C22—861no—
1798C22—861no—
1799C22—861no—
1800C22—861no—
1801C22—861no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—861no—
1806C22—862no—
1807C22—861no—
1808C22—861no—
1809C22—3442no—
1810C22—3444no—
1811C22—1721no—
1812C22—1721no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—862no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4H(5,𝔽2)×D4311yescharacteristic
1838C2—41no—
1839C2—81no—
1840C2—81no—
1841C2—1721no—
1842C2—1721no—
1843C2—1721no—
1844C2—1721no—
1845C2—1722no—
1846C2#1914822911yescharacteristic
1847C2#1914937711yescharacteristic
1848C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3225C2
socleC22×C43C23×D4
hypercenter#3225D43
hypocenterC43#61655
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #19148884C2semidirect
2. #19148273C2semidirect
3. #19146910C2semidirect
4. #19146877C2semidirect
5. #19146855C2semidirect
6. #19146818C2semidirect
7. #19146705C2semidirect
8. #19146653C2semidirect
9. #19146630C2semidirect
10. #19146578C2semidirect
11. #19146250C2semidirect
12. #19146244C2semidirect
13. #19146236C2semidirect
14. #19146225C2semidirect
15. #19146164C2semidirect
16. #19146160C2semidirect
17. #19146149C2semidirect
18. #19146115C2semidirect
19. #19145678C2semidirect
20. #19145504C2semidirect
21. #19145476C2semidirect
22. #19145422C2semidirect
23. #19145417C2semidirect
24. #19144866C2semidirect
25. #19144811C2semidirect
26. #19143905C2semidirect
27. #19143885C2semidirect
28. #19143852C2semidirect
29. #19143833C2semidirect
30. #19143656C2semidirect
31. C43×#3225C2semidirect
35. C2×#13063357C22semidirect
38. C2×#13063354C22semidirect
40. C2×#13063346C22semidirect
41. C2×Q16×D43C22semidirect
45. #14583610C22semidirect
48. #14583599C22semidirect
50. Q8×D172C22semidirect
56. #14583557C22semidirect
67. #14583511C22semidirect
72. #14583478C22semidirect
75. #14583472C22semidirect
83. #14583294C22semidirect
84. #14583278C22semidirect
85. #14583267C22semidirect
86. #14583253C22semidirect
89. #14583239C22semidirect
90. #14583235C22semidirect
91. #14583230C22semidirect
92. #14583228C22semidirect
93. #14583228C22semidirect
94. #14583228C22semidirect
95. #14583227C22semidirect
96. #14583221C22semidirect
97. #14583216C22semidirect
98. #14583215C22semidirect
99. #14583207C22semidirect
100. #14583200C22semidirect
101. #14583186C22semidirect
102. #14583181C22semidirect
105. #14583156C22semidirect
106. #14583156C22semidirect
107. #14583156C22semidirect
108. #14583156C22semidirect
111. #14583149C22semidirect
112. #14583142C22semidirect
113. #14583142C22semidirect
114. #14583142C22semidirect
115. #14583137C22semidirect
116. #14583127C22semidirect
117. #14583127C22semidirect
118. #14583125C22semidirect
119. #14583118C22semidirect
120. #14583118C22semidirect
121. #14583118C22semidirect
122. #14583111C22semidirect
123. #14583110C22semidirect
124. #14583106C22semidirect
125. #14583106C22semidirect
126. #14583105C22semidirect
128. #14583064C22semidirect
129. #14583064C22semidirect
135. #14583060C22semidirect
139. #14583058C22semidirect
141. #14583056C22semidirect
142. #14583056C22semidirect
143. #14583055C22semidirect
144. #14583055C22semidirect
146. #14583053C22semidirect
147. #14583053C22semidirect
148. #14583053C22semidirect
149. #14583053C22semidirect
153. #14583043C22semidirect
156. #14583041C22semidirect
157. #14583036C22semidirect
158. #14583036C22semidirect
159. #14583009C22semidirect
160. #14583007C22semidirect
161. #14583004C22semidirect
162. #14583001C22semidirect
163. C4×Dic172C22semidirect
164. C4×#10621873C22semidirect
165. C4×#10621884C22semidirect
166. C4×#10621883C22semidirect
168. #14582978C22semidirect
170. #14582976C22semidirect
172. #14582972C22semidirect
174. #14582969C22semidirect
175. #14582960C22semidirect
177. #14582906C22semidirect
180. #14582899C22semidirect
182. #14582894C22semidirect
183. #103×D43C22semidirect
184. #14582864C22semidirect
185. #14582864C22semidirect
188. C43×#542C22semidirect
190. C43×#497C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#487C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#462C22semidirect
197. C43×#461C22semidirect
199. C43×#451C22semidirect
201. C43×#448C22semidirect
202. C43×#433C22semidirect
932. #3225D43semidirect
991. #542C2×D43semidirect
1010. #497C2×D43semidirect
1011. #495C2×D43semidirect
1014. #489C2×D43semidirect
1016. #487C2×D43semidirect
1052. #464C2×D43semidirect
1054. #463C2×D43semidirect
1058. #462C2×D43semidirect
1060. #461C2×D43semidirect
1085. #451C2×D43semidirect
1096. #448C2×D43semidirect
1114. #433C2×D43semidirect
1127. C43#61655semidirect

Maximal subgroups

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

subgroupindex
#191488842
#191482732
#191469102
#191468772
#191468552
#191468182
#191467052
#191466532
#191466302
#191465782
#191462502
#191462442
#191462362
#191462252
#191461642
#191461602
#191461492
#191461152
#191456782
#191455042
#191454762
#191454222
#191454172
#191448662
#191448112
#191439052
#191438852
#191438522
#191438332
#191436562
C43×#32252
#6165543