Finite Group Databasebeta

← #25965492

Subgroups — #25965492

Order 11008.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148339C211yesmaximal, characteristic, complemented
2#19147797C211yesmaximal, characteristic, complemented
3#19144889C211yesmaximal, characteristic, complemented
4#19144843C211yesmaximal, characteristic, complemented
5#19144842C211yesmaximal, characteristic, complemented
6#19144825C211yesmaximal, characteristic, complemented
7#19144824C211yesmaximal, characteristic, complemented
8#19144782C211yesmaximal, characteristic, complemented
9#19144781C211yesmaximal, characteristic, complemented
10#19144756C211yesmaximal, characteristic, complemented
11#19144755C211yesmaximal, characteristic, complemented
12#19144711C211yesmaximal, characteristic, complemented
13#19144710C211yesmaximal, characteristic, complemented
14#19144665C211yesmaximal, characteristic, complemented
15#19144664C211yesmaximal, characteristic, complemented
16#19144620C211yesmaximal, characteristic, complemented
17#19144619C211yesmaximal, characteristic, complemented
18#19144527C211yesmaximal, characteristic, complemented
19#485×D43C211yesmaximal, characteristic, complemented
20#19144460C211yesmaximal, characteristic, complemented
21#19144449C211yesmaximal, characteristic, complemented
22#19144142C211yesmaximal, characteristic, complemented
23#19144142C211yesmaximal, characteristic, complemented
24#19143854C211yesmaximal, characteristic, complemented
25#19143818C211yesmaximal, characteristic
26#19143475C211yesmaximal, characteristic, complemented
27#19143470C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30#19143251C211yesmaximal, characteristic, complemented
31C43×#3127C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063348C2211yescharacteristic
36C2×#13063348C2211yescharacteristic
37#14583616—21no—
38#14583605—21no—
39#14583587—21no—
40#14583585—21no—
41#14583581—21no—
42#14583581—21no—
43#14583574—21no—
44#14583574—21no—
45#14583529C2211yescharacteristic, complemented
46#14583522C2211yescharacteristic
47#14583520C2211yescharacteristic
48#14583509C2211yescharacteristic
49#14583474C2211yescharacteristic, complemented
50#14583454C2211yescharacteristic, complemented
51#14583453C2211yescharacteristic, complemented
52#14583436C2211yescharacteristic, complemented
53#14583434C2211yescharacteristic, complemented
54#14583412C2211yescharacteristic
55C22⋊Q8×D43C2211yescharacteristic
56#14583381—21no—
57#14583381—21no—
58#14583381C2211yescharacteristic
59#14583381C2211yescharacteristic
60#14583381C2211yescharacteristic
61#14583381C2211yescharacteristic
62#14583381C2211yescharacteristic, complemented
63#14583377C2211yescharacteristic
64#14583375C2211yescharacteristic, complemented
65#14583373—21no—
66#14583373—21no—
67#14583373C2211yescharacteristic
68#14583373C2211yescharacteristic
69C4×#10621902—21no—
70C4×#10621902—21no—
71C4×#10621902C2211yescharacteristic
72C4×#10621902C2211yescharacteristic
73C4×#10621902C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#117×D43—21no—
76#117×D43—21no—
77#117×D43C2211yescharacteristic
78#117×D43C2211yescharacteristic
79#14583243C2211yescharacteristic, complemented
80#14583242C2211yescharacteristic, complemented
81#14583241C2211yescharacteristic
82#14583240C2211yescharacteristic
83#14583239C2211yescharacteristic, complemented
84#14583239C2211yescharacteristic, complemented
85#14583238C2211yescharacteristic, complemented
86#14583238C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic
88#14583237C2211yescharacteristic
89#14583226C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic
92#14583223C2211yescharacteristic
93#14583208C2211yescharacteristic, complemented
94#14583204C2211yescharacteristic, complemented
95#14583202C2211yescharacteristic, complemented
96#14583198C2211yescharacteristic, complemented
97#14583196C2211yescharacteristic, complemented
98#14583196C2211yescharacteristic, complemented
99#14583194C2211yescharacteristic, complemented
100#14583192C2211yescharacteristic, complemented
101#14583190C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic, complemented
103#14583184C2211yescharacteristic, complemented
104#14583182C2211yescharacteristic, complemented
105#14583180C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583123C2211yescharacteristic, complemented
108#14583123C2211yescharacteristic, complemented
109#14583121C2211yescharacteristic, complemented
110#14583121C2211yescharacteristic, complemented
111#14583117C2211yescharacteristic, complemented
112#14583117C2211yescharacteristic, complemented
113#14583115C2211yescharacteristic, complemented
114#14583115C2211yescharacteristic, complemented
115#14583107C2211yescharacteristic, complemented
116#14583107C2211yescharacteristic, complemented
117#14583103C2211yescharacteristic, complemented
118#14583103C2211yescharacteristic, complemented
119#14583101C2211yescharacteristic, complemented
120#14583101C2211yescharacteristic, complemented
121#14583064C2211yescharacteristic
122#14583064C2211yescharacteristic
123#14583060C2211yescharacteristic
124#14583060C2211yescharacteristic
125#14583060C2211yescharacteristic
126#14583060C2211yescharacteristic
127#14583055C2211yescharacteristic
128#14583052C2211yescharacteristic
129#14583049C2211yescharacteristic
130#14583049C2211yescharacteristic
131#14583047C2211yescharacteristic
132#14583047C2211yescharacteristic
133#14583038C2211yescharacteristic
134#14583035C2211yescharacteristic
135#14583012C2211yescharacteristic, complemented
136#14583010C2211yescharacteristic, complemented
137#14583006C2211yescharacteristic, complemented
138#14583006C2211yescharacteristic, complemented
139#14583004C2211yescharacteristic, complemented
140#14583003C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14583002C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14582998C2211yescharacteristic, complemented
146#14582997C2211yescharacteristic, complemented
147#14582997C2211yescharacteristic, complemented
148#14582997C2211yescharacteristic, complemented
149Q16×Dic43C2211yescharacteristic, complemented
150Q16×Dic43C2211yescharacteristic, complemented
151C4×#10621885C2211yescharacteristic, complemented
152#14582991C2211yescharacteristic, complemented
153C4×#10621873C2211yescharacteristic, complemented
154C4×#10621884C2211yescharacteristic, complemented
155C4×#10621884C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157#14582986C2211yescharacteristic, complemented
158#14582984C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic, complemented
163#14582960C2211yescharacteristic
164#14582957C2211yescharacteristic
165#14582957C2211yescharacteristic
166#14582955C2211yescharacteristic, complemented
167#14582954C2211yescharacteristic, complemented
168#14582951C2211yescharacteristic, complemented
169#14582950C2211yescharacteristic, complemented
170#14582940C2211yescharacteristic, complemented
171#14582938C2211yescharacteristic, complemented
172#107×D43C2211yescharacteristic, complemented
173#106×D43C2211yescharacteristic, complemented
174#14582924C2211yescharacteristic, complemented
175#14582924C2211yescharacteristic, complemented
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582899C2211yescharacteristic, complemented
179#14582899C2211yescharacteristic, complemented
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582856C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#541C2211yescharacteristic
189C43×#519C2211yescharacteristic
190C43×#485C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#479C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#462C2211yescharacteristic, complemented
195C43×#462C2211yescharacteristic, complemented
196C43×#451C2211yescharacteristic
197C43×#451C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×Q16×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic
203C2×#10621902—24no—
204C2×#10621902—24no—
205C2×#10621902—21no—
206C2×#10621902—21no—
207C2×#10621902C2311yescharacteristic
208C2×#10621902C2311yescharacteristic
209C2×#10621902C2311yescharacteristic
210C2×#10621902C2311yescharacteristic
211C2×#10621902C2311yescharacteristic
212C2×Q8×D43C2311yescharacteristic
213C22×D172—21no—
214C22×D172C2311yescharacteristic
215C22×C4×D43—21no—
216C22×C4×D43C2311yescharacteristic
217#13063357—24no—
218#13063357—24no—
219#13063348—24no—
220#13063348—24no—
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227C2×#10621884C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621884C2311yescharacteristic
231C2×D344C2311yescharacteristic
232C2×D344C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237#13063325C2311yescharacteristic
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063323C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063318—21no—
246#13063318—21no—
247#13063316—21no—
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063314C2311yescharacteristic
254#13063313C2311yescharacteristic
255#13063311—21no—
256#13063311—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063307—21no—
263#13063307—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305C2311yescharacteristic
268#13063304C2311yescharacteristic
269#13063303—21no—
270#13063303—21no—
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063302—21no—
276#13063301C2311yescharacteristic
277#13063301C2311yescharacteristic
278#13063300C2311yescharacteristic
279#13063299C2311yescharacteristic
280#13063295—21no—
281Q8×Dic43—21no—
282Q8×Dic43—21no—
283Q8×Dic43C2311yescharacteristic
284Q8×Dic43C2311yescharacteristic
285Q8×Dic43C2311yescharacteristic
286Q8×Dic43C2311yescharacteristic
287Q8×Dic43C2311yescharacteristic
288Q8×Dic43C2311yescharacteristic
289C4×Dic86—21no—
290C4×Dic86—21no—
291C4×Dic86C2311yescharacteristic
292#13063290—21no—
293#13063290—21no—
294#13063290C2311yescharacteristic
295C4×D172—21no—
296C4×D172—21no—
297C4×D172—21no—
298C4×D172—21no—
299C4×D172—21no—
300C4×D172—21no—
301C4×D172—21no—
302C4×D172—21no—
303C4×D172—21no—
304C4×D172—21no—
305C4×D172—21no—
306C4×D172—21no—
307C4×D172C2311yescharacteristic
308C4×D172C2311yescharacteristic
309C4×D172C2311yescharacteristic
310C4×D172C2311yescharacteristic
311C4×D172C2311yescharacteristic
312#13063287—21no—
313#13063287—21no—
314#13063287—21no—
315#13063287—21no—
316#13063287—21no—
317#13063287—21no—
318#13063287—21no—
319#13063287—21no—
320#13063287—21no—
321#13063287—21no—
322#13063287—21no—
323#13063287—21no—
324#13063287—21no—
325#13063287C2311yescharacteristic
326#13063287C2311yescharacteristic
327#13063287C2311yescharacteristic
328#13063287C2311yescharacteristic
329#13063287C2311yescharacteristic
330(C22⋊D43)⋊C4—21no—
331#13063284—21no—
332#13063284—21no—
333#13063284C2311yescharacteristic
334#13063284C2311yescharacteristic
335#13063283—21no—
336#13063283—21no—
337#13063283—21no—
338#13063283—21no—
339#13063283—21no—
340#13063283—21no—
341#13063283—21no—
342#13063283D411yescharacteristic
343#13063283D411yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063282—21no—
348#13063282—21no—
349#13063282—21no—
350#13063282—21no—
351#13063282—21no—
352#13063282—21no—
353#13063282—21no—
354#13063282—21no—
355#13063282—21no—
356#13063282C2311yescharacteristic
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281D411yescharacteristic
360#13063281D411yescharacteristic
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43—21no—
367C4⋊C4×D43D411yescharacteristic
368C4⋊C4×D43D411yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C22⋊C4×D43—21no—
373C22⋊C4×D43—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43D411yescharacteristic
379C22⋊C4×D43D411yescharacteristic
380C42×D43—21no—
381C42×D43—21no—
382C42×D43—21no—
383C42×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399C4⋊(C43⋊C8)C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
438C4×C43⋊C8C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C22×Q8×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#126×C43—21no—
448#126×C43—21no—
449#125×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454C4×Q8×C43—21no—
455C4×Q8×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464#117×C43C2311yescharacteristic
465#117×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43C2×D411yescharacteristic
486C2×Q8×C43—22no—
487C2×Q8×C43—22no—
488C2×Q8×C43—21no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C22×Dic43C2×D411yescharacteristic
497#10621902—28no—
498#10621902—28no—
499#10621902—22no—
500#10621902—22no—
501#10621902—22no—
502#10621902—22no—
503#10621902—22no—
504#10621902—22no—
505#10621902—22no—
506#10621902—22no—
507#10621902#4114yes—
508#10621902#4114yes—
509Q8×D43—22no—
510Q8×D43—22no—
511C2×D172—28no—
512C2×D172—21no—
513C2×D172—22no—
514C2×D172—22no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—28no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—22no—
530C2×C4×D43—22no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43C2×D411yescharacteristic
547C2×C4×D43C2×D411yescharacteristic
548C2×C4×D43C2×D411yescharacteristic
549C2×C4×D43C2×D411yescharacteristic
550C2×C4×D43C2×D411yescharacteristic
551C2×C4×D43C2×D411yescharacteristic
552C2×C4×D43C2411yescharacteristic
553C2×C4×D43C2411yescharacteristic
554C2×Dic86—21no—
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86C2411yescharacteristic
558Q16×C43—22no—
559Q16×C43—22no—
560Q16×C43—22no—
561Q16×C43—22no—
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C2×C8×C43C2411yescharacteristic
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43C2×D411yescharacteristic
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43C2×D411yescharacteristic
588C22⋊C4×C43C2×D411yescharacteristic
589C42×C43—21no—
590C42×C43—21no—
591C42×C43—21no—
592C42×C43—21no—
593C42×C43—21no—
594C42×C43—21no—
595C42×C43—21no—
596C42×C43C2411yescharacteristic
597C42×C43C2411yescharacteristic
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43C2×D411yescharacteristic
601C22⋊Dic43C2×D411yescharacteristic
602#10621885—22no—
603#10621885—22no—
604#10621884—22no—
605#10621884—22no—
606#10621884—22no—
607#10621884—22no—
608#10621884—22no—
609#10621884—22no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊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)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2×D411yescharacteristic
682C4×Dic43C2×D411yescharacteristic
683C4×Dic43C2411yescharacteristic
684C4×Dic43C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689D344—22no—
690D344—22no—
691#10621873—22no—
692#10621873—22no—
693#10621872—22no—
694#10621872—22no—
695C8×D43—22no—
696C8×D43—22no—
697C23×C43C22×D411yescharacteristic
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—24no—
701C22×D43—22no—
702C22×D43—21no—
703C22×D43—41no—
704C22×D43—41no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709Q8×C43—24no—
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43C2×#4112yes—
717Q8×C43C2×#4112yes—
718C2×C4×C43—24no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—81no—
736C2×Dic43—22no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—24no—
749D172—24no—
750D172—24no—
751D172—24no—
752D172—24no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—21no—
757D172—42no—
758D172—42no—
759D172C2×#4112yes—
760D172C2×#4112yes—
761C4×D43—24no—
762C4×D43—24no—
763C4×D43—22no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—24no—
767C4×D43—24no—
768C4×D43—22no—
769C4×D43—41no—
770C4×D43—41no—
771C4×D43—41no—
772C4×D43—41no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43—81no—
788C4×D43C2×#4112yes—
789C4×D43C2×#4112yes—
790Dic86—21no—
791Dic86—21no—
792Dic86—42no—
793Dic86—81no—
794Dic86—81no—
795C8×C43—21no—
796C8×C43—21no—
797C8×C43—21no—
798C8×C43—21no—
799C43⋊C8—21no—
800C43⋊C8—21no—
801C43⋊C8—21no—
802C43⋊C8—21no—
803#60586—431nomaximal, Sylow
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43C23×D411yescharacteristic
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—22no—
813C2×D43—22no—
814C2×D43—21no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—82no—
823C2×D43—84no—
824C2×D43#52512yes—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—22no—
830C4×C43—22no—
831C4×C43—21no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43C22×#4111yescharacteristic
839C4×C43C22×#4111yescharacteristic
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43#52512yes—
851#3495—431no—
852#3428—431no—
853#3127—431no—
854#3127D4311yescharacteristic, complemented
855#3123—431no—
856#3123—431no—
857#3121—431no—
858#3121—431no—
859#3118—431no—
860#3118—431no—
861#3116—431no—
862#3116—431no—
863#3111—431no—
864#3111—431no—
865#3107—431no—
866#3107—431no—
867#3102—431no—
868#3102—431no—
869#3093—431no—
870C2×#485—431no—
871#3084—431no—
872#3083—431no—
873#3046—431no—
874#3046—431no—
875#3007—431no—
876#3002—431no—
877#2952—431no—
878#2951—431no—
879#2947—431no—
880#2947—431no—
881#2924—431no—
882C2×C43—41no—
883C2×C43C2×#52511yescharacteristic
884C2×C43#358411yescharacteristic
885C2×C43#358611yescharacteristic
886D43—22no—
887D43—41no—
888D43—42no—
889D43—42no—
890D43—81no—
891C22×#41—431no—
892C2×#137—431no—
893C2×#137—431no—
894C2×#135—431no—
895C2×#135—431no—
896#556—861no—
897#554—861no—
898#552—861no—
899#552—861no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#544—431no—
905#542—431no—
906#542—431no—
907#541—431no—
908#541C2×D4311yescharacteristic
909#536—431no—
910#533—431no—
911#533—431no—
912#529—431no—
913#529—431no—
914#525—431no—
915C2×C22⋊Q8—431no—
916#520—431no—
917#520—431no—
918#520—431no—
919#520—431no—
920#520—431no—
921#520—861no—
922#520—861no—
923#519—431no—
924#519—431no—
925#519C2×D4311yescharacteristic
926#518—431no—
927#518—431no—
928#518—861no—
929#518—861no—
930C4×#41—431no—
931C4×#41—431no—
932C4×#41—431no—
933C4×#41—431no—
934C4×#41—861no—
935C4×#41—861no—
936C2×#117—431no—
937C2×#117—431no—
938C2×#117—861no—
939C2×#117—861no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#485—431no—
945#485—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485C2×D4311yescharacteristic
951#485C2×D4311yescharacteristic
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#479—431no—
957#479—431no—
958#479C2×D4311yescharacteristic, complemented
959#479C2×D4311yescharacteristic, complemented
960#478—431no—
961#478—431no—
962#478—431no—
963#478—431no—
964#477—431no—
965#477—431no—
966#476—431no—
967#476—431no—
968#475—431no—
969#475—431no—
970#474—431no—
971#474—431no—
972#464—431no—
973#464—431no—
974#464—431no—
975#464—431no—
976#463—431no—
977#463—431no—
978#463—431no—
979#463—431no—
980#462—431no—
981#462—431no—
982#462C2×D4311yescharacteristic, complemented
983#462C2×D4311yescharacteristic, complemented
984#461—431no—
985#461—431no—
986#461—431no—
987#461—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#451—431no—
995#451C2×D4311yescharacteristic
996#451C2×D4311yescharacteristic
997#450—431no—
998#450—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#448—431no—
1003#447—431no—
1004#442—431no—
1005#442—431no—
1006#441—431no—
1007#441—431no—
1008#441—431no—
1009#441—431no—
1010#441C2×D4311yescharacteristic, complemented
1011#441C2×D4311yescharacteristic, complemented
1012#440—431no—
1013#440—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020C4×Q16—431no—
1021C4×Q16—431no—
1022C4×Q16—431no—
1023C4×Q16—431no—
1024C4×Q16C2×D4311yescharacteristic, complemented
1025C4×Q16C2×D4311yescharacteristic, complemented
1026C4×SD16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#433C2×D4311yescharacteristic
1040#432—431no—
1041#432—431no—
1042#431—431no—
1043#431—431no—
1044#428—431no—
1045#428—431no—
1046C2×#107—431no—
1047C2×#106—431no—
1048#424—431no—
1049#424—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#417—431no—
1054#416—431no—
1055#416—431no—
1056C2×#103—431no—
1057C2×#103—431no—
1058#407—431no—
1059C2×C22⋊C8—431no—
1060#405—431no—
1061#405—431no—
1062C43#6058611yescharacteristic, complemented, Sylow
1063C2×#41—431no—
1064C2×#41—431no—
1065C2×#41—431no—
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C2×#41—864no—
1071C2×#41—864no—
1072C22×Q8—431no—
1073C22×Q8C22×D4311yescharacteristic
1074C22×D4—431no—
1075C22×D4—861no—
1076C23×C4—431no—
1077C23×C4—861no—
1078#137—864no—
1079#137—864no—
1080#135—864no—
1081#135—864no—
1082C2×Q16—431no—
1083C2×Q16—431no—
1084C2×Q16C22×D4311yescharacteristic
1085C2×Q16C22×D4311yescharacteristic
1086C2×Q16C22×D4311yescharacteristic
1087C2×Q16C22×D4311yescharacteristic
1088C2×SD16—431no—
1089C2×SD16—431no—
1090C2×SD16—431no—
1091C2×SD16—431no—
1092C2×SD16—431no—
1093C2×SD16—431no—
1094C2×SD16—431no—
1095C2×SD16—431no—
1096C2×D8—431no—
1097C2×D8—431no—
1098C2×M16—431no—
1099C2×M16—431no—
1100C22×C8—431no—
1101C22×C8—431no—
1102C4⋊Q8—431no—
1103C4⋊Q8—431no—
1104C4⋊Q8—431no—
1105C4⋊Q8—861no—
1106C4⋊Q8C22×D4311yescharacteristic
1107#126—21no—
1108#126—21no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—21no—
1116#125—21no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—431no—
1125#124—431no—
1126#124—861no—
1127#124—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8C22×D4311yescharacteristic
1150C22⋊Q8C22×D4311yescharacteristic
1151#121—431no—
1152#121—431no—
1153#120—861no—
1154C4×Q8—21no—
1155C4×Q8—21no—
1156C4×Q8—431no—
1157C4×Q8—431no—
1158C4×Q8—431no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8C22×D4311yescharacteristic
1171C4×Q8C22×D4311yescharacteristic
1172C4×Q8C22×D4311yescharacteristic
1173C4×Q8C22×D4311yescharacteristic
1174C4×Q8C22×D4311yescharacteristic
1175C4×Q8C22×D4311yescharacteristic
1176C4×D4—431no—
1177C4×D4—431no—
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212#117—21no—
1213#117—21no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117C22×D4311yescharacteristic
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—861no—
1268C2×C42—861no—
1269C2×C42—861no—
1270C2×C42—861no—
1271C2×C42—861no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107—431no—
1278#107C22×D4311yescharacteristic
1279#107C22×D4311yescharacteristic
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106C22×D4311yescharacteristic
1287#106C22×D4311yescharacteristic
1288C4⋊C8—431no—
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8—431no—
1294C4⋊C8C22×D4311yescharacteristic
1295C4⋊C8C22×D4311yescharacteristic
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103C22×D4311yescharacteristic
1309#103C22×D4311yescharacteristic
1310#103C22×D4311yescharacteristic
1311#103C22×D4311yescharacteristic
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#103C22×D4311yescharacteristic
1315#103C22×D4311yescharacteristic
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328C22⋊C8—431no—
1329C22⋊C8—431no—
1330C22⋊C8—431no—
1331C22⋊C8—431no—
1332C22⋊C8—431no—
1333C22⋊C8—431no—
1334C22⋊C8C22×D4311yescharacteristic
1335C22⋊C8C22×D4311yescharacteristic
1336#97—431no—
1337#97—431no—
1338#97—431no—
1339#97C22×D4311yescharacteristic
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8C22×D4311yescharacteristic
1344C24—431no—
1345C24—861no—
1346#41—434no—
1347#41—434no—
1348#41—862no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—862no—
1354#41—868no—
1355#41—868no—
1356#41—862no—
1357#41—862no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—21no—
1361C2×Q8—431no—
1362C2×Q8—861no—
1363C2×Q8—861no—
1364C2×Q8—862no—
1365C2×Q8—862no—
1366C2×Q8—861no—
1367C2×Q8C23×D4311yescharacteristic
1368C2×Q8C23×D4311yescharacteristic
1369C2×Q8C23×D4311yescharacteristic
1370C2×Q8C23×D4311yescharacteristic
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—431no—
1374C2×D4—862no—
1375C2×D4—862no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—868no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C22×C4—21no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—862no—
1400C22×C4—862no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—868no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4C23×D4311yescharacteristic
1418Q16—22no—
1419Q16—22no—
1420Q16—22no—
1421Q16—22no—
1422Q16—862no—
1423Q16—862no—
1424SD16—862no—
1425SD16—862no—
1426SD16—862no—
1427SD16—862no—
1428SD16—862no—
1429SD16—862no—
1430SD16—862no—
1431SD16—862no—
1432D8—862no—
1433D8—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—431no—
1437C2×C8—431no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—862no—
1441C2×C8—862no—
1442C2×C8C23×D4311yescharacteristic
1443C2×C8C23×D4311yescharacteristic
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4D4×D4311yescharacteristic
1490C4⋊C4D4×D4311yescharacteristic
1491C4⋊C4C23×D4311yescharacteristic
1492C4⋊C4C23×D4311yescharacteristic
1493C4⋊C4C23×D4311yescharacteristic
1494C4⋊C4C23×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—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4D4×D4311yescharacteristic
1529C22⋊C4D4×D4311yescharacteristic
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—431no—
1538C42—431no—
1539C42—431no—
1540C42—431no—
1541C42—431no—
1542C42—431no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42—861no—
1547C42—861no—
1548C42—861no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42C23×D4311yescharacteristic
1556C42C23×D4311yescharacteristic
1557C23—431no—
1558C23—431no—
1559C23—862no—
1560C23—864no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—3441no—
1565C23—3441no—
1566C23—1721no—
1567C23—1721no—
1568C23C2×D4×D4311yescharacteristic
1569Q8—24no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—861no—
1577Q8—861no—
1578Q8—3441no—
1579Q8—3441no—
1580Q8—1722no—
1581Q8#41×D4312yes—
1582Q8#41×D4312yes—
1583D4—432no—
1584D4—432no—
1585D4—864no—
1586D4—864no—
1587D4—864no—
1588D4—864no—
1589D4—864no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—861no—
1594D4—3441no—
1595D4—1722no—
1596D4—1722no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—431no—
1609C2×C4—432no—
1610C2×C4—432no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—862no—
1617C2×C4—864no—
1618C2×C4—864no—
1619C2×C4—862no—
1620C2×C4—864no—
1621C2×C4—864no—
1622C2×C4—862no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—1721no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1721no—
1647C2×C4—1722no—
1648C2×C4—1722no—
1649C2×C4C2×D4×D4311yescharacteristic
1650C2×C4C2×D4×D4311yescharacteristic
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C24×D4311yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—861no—
1660C8—861no—
1661C8—861no—
1662C8—861no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—432no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—862no—
1671C22—862no—
1672C22—861no—
1673C22—861no—
1674C22—3442no—
1675C22—3444no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22C22×D4×D4311yescharacteristic
1684C4—21no—
1685C4—21no—
1686C4—22no—
1687C4—22no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—432no—
1698C4—861no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—1721no—
1704C4—1721no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4C2×#41×D4311yescharacteristic
1709C4C2×#41×D4311yescharacteristic
1710C2—41no—
1711C2—862no—
1712C2—3441no—
1713C2—1721no—
1714C2—1722no—
1715C2—1722no—
1716C2#525×D4311yescharacteristic
1717C2#1914936511yescharacteristic
1718C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3127C2
socleC22×C43C23×D4
prime radical#19143818C2
hypercenter#3127D43
hypocenterC43#60586
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3127

Complements

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

NH ≅ G/Ntype
1. #19148339C2semidirect
2. #19147797C2semidirect
3. #19144889C2semidirect
4. #19144843C2semidirect
5. #19144842C2semidirect
6. #19144825C2semidirect
7. #19144824C2semidirect
8. #19144782C2semidirect
9. #19144781C2semidirect
10. #19144756C2semidirect
11. #19144755C2semidirect
12. #19144711C2semidirect
13. #19144710C2semidirect
14. #19144665C2semidirect
15. #19144664C2semidirect
16. #19144620C2semidirect
17. #19144619C2semidirect
18. #19144527C2semidirect
19. #485×D43C2semidirect
20. #19144460C2semidirect
21. #19144449C2semidirect
22. #19144142C2semidirect
23. #19144142C2semidirect
24. #19143854C2semidirect
26. #19143475C2semidirect
27. #19143470C2semidirect
28. #19143437C2semidirect
29. #19143433C2semidirect
30. #19143251C2semidirect
31. C43×#3127C2semidirect
45. #14583529C22semidirect
49. #14583474C22semidirect
50. #14583454C22semidirect
51. #14583453C22semidirect
52. #14583436C22semidirect
53. #14583434C22semidirect
62. #14583381C22semidirect
64. #14583375C22semidirect
79. #14583243C22semidirect
80. #14583242C22semidirect
83. #14583239C22semidirect
84. #14583239C22semidirect
85. #14583238C22semidirect
86. #14583238C22semidirect
89. #14583226C22semidirect
90. #14583225C22semidirect
93. #14583208C22semidirect
94. #14583204C22semidirect
95. #14583202C22semidirect
96. #14583198C22semidirect
97. #14583196C22semidirect
98. #14583196C22semidirect
99. #14583194C22semidirect
100. #14583192C22semidirect
101. #14583190C22semidirect
102. #14583188C22semidirect
103. #14583184C22semidirect
104. #14583182C22semidirect
105. #14583180C22semidirect
106. #14583178C22semidirect
107. #14583123C22semidirect
108. #14583123C22semidirect
109. #14583121C22semidirect
110. #14583121C22semidirect
111. #14583117C22semidirect
112. #14583117C22semidirect
113. #14583115C22semidirect
114. #14583115C22semidirect
115. #14583107C22semidirect
116. #14583107C22semidirect
117. #14583103C22semidirect
118. #14583103C22semidirect
119. #14583101C22semidirect
120. #14583101C22semidirect
135. #14583012C22semidirect
136. #14583010C22semidirect
137. #14583006C22semidirect
138. #14583006C22semidirect
139. #14583004C22semidirect
140. #14583003C22semidirect
141. #14583002C22semidirect
142. #14583002C22semidirect
143. #14583002C22semidirect
144. #14583001C22semidirect
145. #14582998C22semidirect
146. #14582997C22semidirect
147. #14582997C22semidirect
148. #14582997C22semidirect
149. Q16×Dic43C22semidirect
150. Q16×Dic43C22semidirect
151. C4×#10621885C22semidirect
152. #14582991C22semidirect
153. C4×#10621873C22semidirect
154. C4×#10621884C22semidirect
155. C4×#10621884C22semidirect
156. C4×#10621884C22semidirect
157. #14582986C22semidirect
158. #14582984C22semidirect
159. #14582984C22semidirect
160. #14582984C22semidirect
161. C4×D344C22semidirect
162. #14582981C22semidirect
166. #14582955C22semidirect
167. #14582954C22semidirect
168. #14582951C22semidirect
169. #14582950C22semidirect
170. #14582940C22semidirect
171. #14582938C22semidirect
172. #107×D43C22semidirect
173. #106×D43C22semidirect
174. #14582924C22semidirect
175. #14582924C22semidirect
178. #14582899C22semidirect
179. #14582899C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
186. #14582856C22semidirect
187. #14582853C22semidirect
192. C43×#479C22semidirect
193. C43×#479C22semidirect
194. C43×#462C22semidirect
195. C43×#462C22semidirect
198. C43×#441C22semidirect
199. C43×#441C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×Q16×C43C22semidirect
854. #3127D43semidirect
958. #479C2×D43semidirect
959. #479C2×D43semidirect
982. #462C2×D43semidirect
983. #462C2×D43semidirect
1010. #441C2×D43semidirect
1011. #441C2×D43semidirect
1024. C4×Q16C2×D43semidirect
1025. C4×Q16C2×D43semidirect
1062. C43#60586semidirect

Maximal subgroups

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

subgroupindex
#191483392
#191477972
#191448892
#191448432
#191448422
#191448252
#191448242
#191447822
#191447812
#191447562
#191447552
#191447112
#191447102
#191446652
#191446642
#191446202
#191446192
#191445272
#485×D432
#191444602
#191444492
#191441422
#191438542
#191438182
#191434752
#191434702
#191434372
#191434332
#191432512
C43×#31272
#6058643