Finite Group Databasebeta

← #25975520

Subgroups — #25975520

Order 11008.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148313C211yesmaximal, characteristic, complemented
2#19148309C211yesmaximal, characteristic, complemented
3#19147131C211yesmaximal, characteristic, complemented
4#19147130C211yesmaximal, characteristic, complemented
5#19147120C211yesmaximal, characteristic, complemented
6#19147097C211yesmaximal, characteristic, complemented
7#19147096C211yesmaximal, characteristic, complemented
8#19147094C211yesmaximal, characteristic, complemented
9#19147091C211yesmaximal, characteristic, complemented
10#19147011C211yesmaximal, characteristic, complemented
11#19147002C211yesmaximal, characteristic, complemented
12#19147001C211yesmaximal, characteristic, complemented
13#19147001C211yesmaximal, characteristic, complemented
14#19146977C211yesmaximal, characteristic, complemented
15#19146974C211yesmaximal, characteristic, complemented
16#19146972C211yesmaximal, characteristic, complemented
17#19146971C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19144576C211yesmaximal, characteristic, complemented
20#19144574C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144527C211yesmaximal, characteristic, complemented
23#19144449C211yesmaximal, characteristic, complemented
24#19144443C211yesmaximal, characteristic, complemented
25#19144259C211yesmaximal, characteristic, complemented
26#19144178C211yesmaximal, characteristic, complemented
27#19143475C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#427×D43C211yesmaximal, characteristic, complemented
31C43×#3349C211yesmaximal, characteristic, complemented
32C2×#13063348C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583621—21no—
37#14583620C2211yescharacteristic
38#14583620C2211yescharacteristic
39#14583616—21no—
40#14583615C2211yescharacteristic
41#14583614C2211yescharacteristic
42#14583612—21no—
43#14583612C2211yescharacteristic
44#14583612C2211yescharacteristic
45#14583611—21no—
46#14583602C2211yescharacteristic
47#14583600—21no—
48#14583597C2211yescharacteristic
49#14583595C2211yescharacteristic
50#14583594—21no—
51#14583593C2211yescharacteristic
52#14583591C2211yescharacteristic
53#14583590C2211yescharacteristic
54#14583585—21no—
55#14583583C2211yescharacteristic
56#14583581—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583488—21no—
60#14583488—21no—
61#14583485—21no—
62#14583483—21no—
63#14583479C2211yescharacteristic
64#14583479C2211yescharacteristic
65#14583436—21no—
66#14583434—21no—
67#14583432—21no—
68#14583427—21no—
69#14583412C2211yescharacteristic
70#14583412C2211yescharacteristic
71#14583408C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583379C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583300C2211yescharacteristic, complemented
82#14583298C2211yescharacteristic, complemented
83#14583296C2211yescharacteristic, complemented
84#14583295C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic
86#14583239C2211yescharacteristic
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic
89#14583238C2211yescharacteristic
90#14583238C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic
92#14583237C2211yescharacteristic
93#14583237C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583233C2211yescharacteristic, complemented
96#14583232C2211yescharacteristic, complemented
97#14583226C2211yescharacteristic
98#14583226C2211yescharacteristic
99#14583226C2211yescharacteristic, complemented
100#14583225C2211yescharacteristic
101#14583225C2211yescharacteristic
102#14583225C2211yescharacteristic, complemented
103#14583224C2211yescharacteristic
104#14583224C2211yescharacteristic
105#14583224C2211yescharacteristic, complemented
106#14583223C2211yescharacteristic
107#14583223C2211yescharacteristic
108#14583223C2211yescharacteristic, complemented
109#14583214C2211yescharacteristic, complemented
110#14583214C2211yescharacteristic, complemented
111#14583213C2211yescharacteristic, complemented
112#14583212C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583206C2211yescharacteristic, complemented
115#14583204C2211yescharacteristic, complemented
116#14583202C2211yescharacteristic, complemented
117#14583200C2211yescharacteristic, complemented
118#14583198C2211yescharacteristic, complemented
119#14583196C2211yescharacteristic, complemented
120#14583194C2211yescharacteristic, complemented
121#14583192C2211yescharacteristic, complemented
122#14583192C2211yescharacteristic, complemented
123#14583180C2211yescharacteristic, complemented
124#14583178C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583154C2211yescharacteristic, complemented
128#14583153C2211yescharacteristic, complemented
129#14583152C2211yescharacteristic, complemented
130#14583137C2211yescharacteristic
131#14583136C2211yescharacteristic
132#14583135C2211yescharacteristic
133#14583131C2211yescharacteristic
134#14583131C2211yescharacteristic
135#14583131C2211yescharacteristic, complemented
136#14583131C2211yescharacteristic, complemented
137#14583130C2211yescharacteristic
138#14583130C2211yescharacteristic
139#14583130C2211yescharacteristic, complemented
140#14583130C2211yescharacteristic, complemented
141#14583012C2211yescharacteristic, complemented
142#14583010C2211yescharacteristic, complemented
143#14583006C2211yescharacteristic, complemented
144C4×#10621884C2211yescharacteristic, complemented
145C4×#10621884C2211yescharacteristic, complemented
146#14582984C2211yescharacteristic, complemented
147#14582984C2211yescharacteristic, complemented
148#14582972C2211yescharacteristic
149#14582970C2211yescharacteristic
150#14582968C2211yescharacteristic
151D4×C43⋊C8C2211yescharacteristic
152#14582964C2211yescharacteristic
153(C22⋊D43)⋊C8C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582937C2211yescharacteristic
163#14582936C2211yescharacteristic
164#14582936C2211yescharacteristic
165#14582936C2211yescharacteristic
166#14582936C2211yescharacteristic, complemented
167#14582935C2211yescharacteristic
168#14582935C2211yescharacteristic
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic
174C2×#13063256C2211yescharacteristic, complemented
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582894C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic
193C43×#485C2211yescharacteristic, complemented
194C43×#484C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#477C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic, complemented
198C43×#467C2211yescharacteristic
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063348—24no—
208C2×#10621884C2311yescharacteristic
209C2×#10621884C2311yescharacteristic
210C2×D344C2311yescharacteristic
211#13063333—24no—
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C22×C43⋊C8C2311yescharacteristic
217C2×C8×D43—24no—
218C2×C8×D43C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063319—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063314—21no—
250#13063314—21no—
251#13063313—21no—
252#13063313—21no—
253#13063313—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310D411yescharacteristic
266#13063309—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063305—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303D411yescharacteristic
277#13063302D411yescharacteristic
278#13063301—21no—
279#13063301C2311yescharacteristic
280#13063301C2311yescharacteristic
281#13063301C2311yescharacteristic
282#13063301C2311yescharacteristic
283#13063300—21no—
284#13063300—21no—
285#13063300—21no—
286#13063300—21no—
287#13063300C2311yescharacteristic
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063300C2311yescharacteristic
291#13063299—21no—
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298D411yescharacteristic
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296—21no—
307#13063295—21no—
308#13063295—21no—
309#13063295D411yescharacteristic
310#13063293D411yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313C4×Dic86—21no—
314C4×Dic86—21no—
315#13063290—21no—
316#13063290—21no—
317#13063290—21no—
318C4×D172—21no—
319C4×D172—21no—
320C4×D172—21no—
321C4×D172—21no—
322C4×D172C2311yescharacteristic
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325#13063287—21no—
326#13063287—21no—
327#13063287—21no—
328#13063287—21no—
329#13063287—21no—
330#13063287—21no—
331#13063287C2311yescharacteristic
332#13063287C2311yescharacteristic
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343#13063284C2311yescharacteristic
344#13063284C2311yescharacteristic
345#13063284C2311yescharacteristic
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#126×C43—21no—
444#126×C43—21no—
445#125×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43C2×D411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C22×Dic43—21no—
498C22×Dic43C2×D411yescharacteristic
499#10621902—22no—
500#10621902—22no—
501#10621902—22no—
502#10621902—22no—
503#10621898—22no—
504#10621898—22no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172C2×D411yescharacteristic
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2×D411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×C4×D43C2411yescharacteristic
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86C2×D411yescharacteristic
538Q16×C43—22no—
539M16×C43—22no—
540C2×C8×C43—22no—
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C2×C8×C43C2411yescharacteristic
544C2×C8×C43C2411yescharacteristic
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43C2×D411yescharacteristic
570C22⋊C4×C43C2×D411yescharacteristic
571C42×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43C2×D411yescharacteristic
581C22⋊Dic43C2×D411yescharacteristic
582#10621884—22no—
583#10621884—22no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43C2411yescharacteristic
661C2×C43⋊C8—22no—
662C2×C43⋊C8—22no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667D344—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872—22no—
671C8×D43—22no—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43#4114yes—
676C23×C43C22×D411yescharacteristic
677C23×C43C22×D411yescharacteristic
678C22×D43—22no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—41no—
682C22×D43—41no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685C22×D43C22×D411yescharacteristic
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—81no—
691D4×C43—41no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—81no—
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C2511yescharacteristic
710C22⋊D43—22no—
711C22⋊D43—22no—
712C22⋊D43—41no—
713C22⋊D43—41no—
714C22⋊D43—81no—
715C22⋊D43—81no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C2×Dic43—22no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—81no—
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731D172—22no—
732D172—21no—
733D172—21no—
734D172—21no—
735D172—21no—
736D172—41no—
737D172—42no—
738D172—42no—
739D172—81no—
740D172—81no—
741D172—81no—
742D172—81no—
743C4×D43—22no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—22no—
749C4×D43—42no—
750C4×D43—42no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43C2×#4112yes—
762C4×D432−1+412yes—
763Dic86—22no—
764Dic86—81no—
765Dic86—81no—
766Dic86—81no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C8×C43C2×#4112yes—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774C43⋊C8C2×#4112yes—
775#61260—431nomaximal, Sylow
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43C23×D411yescharacteristic
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—44no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43#54712yes—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43C22×#4111yescharacteristic
812C4×C43C2×2−1+411yescharacteristic
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43#54712yes—
824#3493—431no—
825#3493—431no—
826#3349—431no—
827#3349—431no—
828#3349—431no—
829#3349D4311yescharacteristic, complemented
830#3347—431no—
831#3347—431no—
832#3347—431no—
833#3347—431no—
834#3340—431no—
835#3340—431no—
836#3340—431no—
837#3340—431no—
838#3337—431no—
839#3337—431no—
840#3337—431no—
841#3337—431no—
842#3163—431no—
843#3098—431no—
844#3098—431no—
845#3093—431no—
846#3093—431no—
847#3083—431no—
848#3083—431no—
849#3060—431no—
850#3050—431no—
851#2952—431no—
852#2929—431no—
853#2912—431no—
854C2×#427—431no—
855C2×C43—41no—
856C2×C43—41no—
857C2×C43C2×#54711yescharacteristic
858C2×C43#358411yescharacteristic
859C2×C43#358411yescharacteristic
860D43—22no—
861D43—41no—
862D43—41no—
863D43—81no—
864D43—81no—
865C2×#135—431no—
866C2×#131—431no—
867C23×C8—431no—
868#556—431no—
869#556—431no—
870#556—431no—
871#556—861no—
872#556—861no—
873#556C2×D4311yescharacteristic
874#555—431no—
875#555—431no—
876#555—431no—
877#555—431no—
878#555—861no—
879#555—861no—
880#553—431no—
881#553—431no—
882#553—431no—
883#553—431no—
884#553—861no—
885#553—861no—
886#552—431no—
887#552—431no—
888#552—431no—
889#552—861no—
890#552—861no—
891#552C2×D4311yescharacteristic
892#544—431no—
893#544—431no—
894#538—861no—
895#538—861no—
896#538—861no—
897#538—861no—
898#537—431no—
899#537—431no—
900#529—861no—
901#529—861no—
902#529—861no—
903#529—861no—
904#525—431no—
905#525—431no—
906#525—431no—
907#520—431no—
908#520—431no—
909#520—431no—
910#520—431no—
911C2×#117—431no—
912C2×#117—431no—
913#501—431no—
914#501—431no—
915#501—431no—
916#501C2×D4311yescharacteristic, complemented
917#499—431no—
918#499—431no—
919#498—431no—
920#498—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#485C2×D4311yescharacteristic
931#485C2×D4311yescharacteristic
932#485C2×D4311yescharacteristic, complemented
933#484—431no—
934#484—431no—
935#484—431no—
936#484C2×D4311yescharacteristic, complemented
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#480—431no—
950#480—431no—
951#480—431no—
952#480—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#479C2×D4311yescharacteristic, complemented
957#478—431no—
958#478—431no—
959#478—431no—
960#478—431no—
961#477—431no—
962#477—431no—
963#477—431no—
964#477C2×D4311yescharacteristic, complemented
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#470—431no—
970#470C2×D4311yescharacteristic, complemented
971#469—431no—
972#469—431no—
973#467—431no—
974#467C2×D4311yescharacteristic
975#466—431no—
976#466—431no—
977#465—431no—
978#465—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#465—431no—
984#465—431no—
985#442—431no—
986#442—431no—
987#441—431no—
988#441C2×D4311yescharacteristic, complemented
989C4×SD16—431no—
990C4×SD16—431no—
991C4×SD16—431no—
992C4×SD16—431no—
993#435—431no—
994#435—431no—
995#435—431no—
996#435C2×D4311yescharacteristic
997C8×D4—431no—
998C8×D4—431no—
999C8×D4—431no—
1000C8×D4—431no—
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428—431no—
1005#428—431no—
1006#428—431no—
1007#428—431no—
1008#428C2×D4311yescharacteristic, complemented
1009#427—431no—
1010#427—431no—
1011#427—431no—
1012#427—431no—
1013#427—431no—
1014#427—431no—
1015#427—431no—
1016#427—431no—
1017#427—431no—
1018#427—431no—
1019#427C2×D4311yescharacteristic
1020C2×#107—431no—
1021C2×#107—431no—
1022C2×#106—431no—
1023C2×#106—431no—
1024C2×#106—431no—
1025C2×#106—431no—
1026#424—431no—
1027#417—431no—
1028#417—431no—
1029#417—431no—
1030#417—431no—
1031#416—431no—
1032#416—431no—
1033#408—431no—
1034#407—431no—
1035#405—431no—
1036C43#6126011yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—431no—
1039C2×#41—431no—
1040C23×C4—431no—
1041#135—864no—
1042C2×Q16C22×D4311yescharacteristic
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×D8—431no—
1046#131—864no—
1047C2×M16—431no—
1048C2×M16—431no—
1049C2×M16—431no—
1050C2×M16C22×D4311yescharacteristic
1051C22×C8—431no—
1052C22×C8—431no—
1053C22×C8—431no—
1054C22×C8—431no—
1055C22×C8—431no—
1056C22×C8—431no—
1057C22×C8—431no—
1058C22×C8—864no—
1059C22×C8C22×D4311yescharacteristic
1060C4⋊Q8—431no—
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065C4⋊Q8C22×D4311yescharacteristic
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#125—21no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125C22×D4311yescharacteristic
1092#124—21no—
1093#124—861no—
1094#124—861no—
1095#124—861no—
1096#124—861no—
1097#124—861no—
1098#124—861no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#123—21no—
1105#123—431no—
1106#123—431no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8C22×D4311yescharacteristic
1129C22⋊Q8C22×D4311yescharacteristic
1130C22⋊Q8C22×D4311yescharacteristic
1131C22⋊Q8C22×D4311yescharacteristic
1132#121—431no—
1133#121—431no—
1134#121—431no—
1135#121—431no—
1136#121—431no—
1137#121—431no—
1138#121—431no—
1139#121—431no—
1140#121—431no—
1141#121—431no—
1142#121—861no—
1143#121—861no—
1144#121—861no—
1145#121—861no—
1146#121—861no—
1147#121—861no—
1148#121—861no—
1149#121—861no—
1150#121—861no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#120—431no—
1157#120—431no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—21no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8—861no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8C22×D4311yescharacteristic
1169C4×Q8C22×D4311yescharacteristic
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—431no—
1174C4×D4—431no—
1175C4×D4—431no—
1176C4×D4—431no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
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×D4C22×D4311yescharacteristic
1196#117—21no—
1197#117—431no—
1198#117—431no—
1199#117—431no—
1200#117—431no—
1201#117—431no—
1202#117—431no—
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117C22×D4311yescharacteristic
1223#117C22×D4311yescharacteristic
1224#117C22×D4311yescharacteristic
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—861no—
1233C2×C4⋊C4—861no—
1234C2×C4⋊C4C22×D4311yescharacteristic
1235C2×C22⋊C4—861no—
1236C2×C22⋊C4—861no—
1237C2×C42—861no—
1238C2×C42—861no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107C22×D4311yescharacteristic
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8C22×D4311yescharacteristic
1279#103—431no—
1280#103—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#103C22×D4311yescharacteristic
1289#103C22×D4311yescharacteristic
1290#103C22×D4311yescharacteristic
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8—431no—
1308C22⋊C8—431no—
1309C22⋊C8C22×D4311yescharacteristic
1310C22⋊C8C22×D4311yescharacteristic
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C24—431no—
1316#41—862no—
1317#41—862no—
1318#41—862no—
1319#41—862no—
1320#41—862no—
1321#41—862no—
1322C2×Q8—21no—
1323C2×Q8—431no—
1324C2×Q8—861no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8C23×D4311yescharacteristic
1328C2×Q8C23×D4311yescharacteristic
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—431no—
1333C2×D4—431no—
1334C2×D4—431no—
1335C2×D4—431no—
1336C2×D4—431no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4D4×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—862no—
1356C22×C4—862no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4C23×D4311yescharacteristic
1371C22×C4C23×D4311yescharacteristic
1372Q16—22no—
1373SD16—862no—
1374SD16—862no—
1375D8—862no—
1376M16—22no—
1377M16—862no—
1378M16—862no—
1379M16—862no—
1380C2×C8—22no—
1381C2×C8—431no—
1382C2×C8—434no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—862no—
1387C2×C8—862no—
1388C2×C8—862no—
1389C2×C8—862no—
1390C2×C8—862no—
1391C2×C8—862no—
1392C2×C8C23×D4311yescharacteristic
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4D4×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—431no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42C23×D4311yescharacteristic
1510C23—431no—
1511C23—431no—
1512C23—431no—
1513C23—862no—
1514C23—861no—
1515C23—861no—
1516C23—1721no—
1517C23—1721no—
1518C23C2×D4×D4311yescharacteristic
1519C23C2×D4×D4311yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—81no—
1525Q8—862no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—3441no—
1529D4—41no—
1530D4—862no—
1531D4—862no—
1532D4—862no—
1533D4—861no—
1534D4—861no—
1535D4—861no—
1536D4—861no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1722no—
1547D4—1722no—
1548D4—1721no—
1549D4—1721no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—81no—
1563C2×C4—431no—
1564C2×C4—432no—
1565C2×C4—432no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—862no—
1571C2×C4—862no—
1572C2×C4—862no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C24×D4311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—432no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8#41×D4312yes—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—432no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—1724no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—432no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#41×D4311yescharacteristic
1656C42−1+4×D4311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—862no—
1660C2—3441no—
1661C2—3441no—
1662C2—1721no—
1663C2—1721no—
1664C2#547×D4311yescharacteristic
1665C2#1914936511yescharacteristic
1666C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3349C2
socleC22×C43C23×D4
hypercenter#3349D43
hypocenterC43#61260
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3349

Complements

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

NH ≅ G/Ntype
1. #19148313C2semidirect
2. #19148309C2semidirect
3. #19147131C2semidirect
4. #19147130C2semidirect
5. #19147120C2semidirect
6. #19147097C2semidirect
7. #19147096C2semidirect
8. #19147094C2semidirect
9. #19147091C2semidirect
10. #19147011C2semidirect
11. #19147002C2semidirect
12. #19147001C2semidirect
13. #19147001C2semidirect
14. #19146977C2semidirect
15. #19146974C2semidirect
16. #19146972C2semidirect
17. #19146971C2semidirect
18. #19145122C2semidirect
19. #19144576C2semidirect
20. #19144574C2semidirect
21. #19144527C2semidirect
22. #19144527C2semidirect
23. #19144449C2semidirect
24. #19144443C2semidirect
25. #19144259C2semidirect
26. #19144178C2semidirect
27. #19143475C2semidirect
28. #19143286C2semidirect
29. #19143189C2semidirect
30. #427×D43C2semidirect
31. C43×#3349C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583300C22semidirect
82. #14583298C22semidirect
83. #14583296C22semidirect
84. #14583295C22semidirect
87. #14583239C22semidirect
90. #14583238C22semidirect
93. #14583237C22semidirect
94. #14583233C22semidirect
95. #14583233C22semidirect
96. #14583232C22semidirect
99. #14583226C22semidirect
102. #14583225C22semidirect
105. #14583224C22semidirect
108. #14583223C22semidirect
109. #14583214C22semidirect
110. #14583214C22semidirect
111. #14583213C22semidirect
112. #14583212C22semidirect
113. #14583208C22semidirect
114. #14583206C22semidirect
115. #14583204C22semidirect
116. #14583202C22semidirect
117. #14583200C22semidirect
118. #14583198C22semidirect
119. #14583196C22semidirect
120. #14583194C22semidirect
121. #14583192C22semidirect
122. #14583192C22semidirect
123. #14583180C22semidirect
124. #14583178C22semidirect
125. #14583178C22semidirect
126. #14583176C22semidirect
127. #14583154C22semidirect
128. #14583153C22semidirect
129. #14583152C22semidirect
135. #14583131C22semidirect
136. #14583131C22semidirect
139. #14583130C22semidirect
140. #14583130C22semidirect
141. #14583012C22semidirect
142. #14583010C22semidirect
143. #14583006C22semidirect
144. C4×#10621884C22semidirect
145. C4×#10621884C22semidirect
146. #14582984C22semidirect
147. #14582984C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
166. #14582936C22semidirect
169. #14582935C22semidirect
174. C2×#13063256C22semidirect
177. #106×D43C22semidirect
190. C43×#501C22semidirect
193. C43×#485C22semidirect
194. C43×#484C22semidirect
195. C43×#479C22semidirect
196. C43×#477C22semidirect
197. C43×#470C22semidirect
199. C43×#441C22semidirect
201. C43×#428C22semidirect
829. #3349D43semidirect
916. #501C2×D43semidirect
932. #485C2×D43semidirect
936. #484C2×D43semidirect
956. #479C2×D43semidirect
964. #477C2×D43semidirect
970. #470C2×D43semidirect
988. #441C2×D43semidirect
1008. #428C2×D43semidirect
1036. C43#61260semidirect

Maximal subgroups

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

subgroupindex
#191483132
#191483092
#191471312
#191471302
#191471202
#191470972
#191470962
#191470942
#191470912
#191470112
#191470022
#191470012
#191469772
#191469742
#191469722
#191469712
#191451222
#191445762
#191445742
#191445272
#191444492
#191444432
#191442592
#191441782
#191434752
#191432862
#191431892
#427×D432
C43×#33492
#6126043