Finite Group Databasebeta

← #25975840

Subgroups — #25975840

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148326C211yesmaximal, characteristic, complemented
2#19148313C211yesmaximal, characteristic, complemented
3#19147191C211yesmaximal, characteristic, complemented
4#19147188C211yesmaximal, characteristic, complemented
5#19147158C211yesmaximal, characteristic, complemented
6#19147137C211yesmaximal, characteristic, complemented
7#19147135C211yesmaximal, characteristic, complemented
8#19147096C211yesmaximal, characteristic, complemented
9#19147096C211yesmaximal, characteristic, complemented
10#19147092C211yesmaximal, characteristic, complemented
11#19147089C211yesmaximal, characteristic, complemented
12#19147035C211yesmaximal, characteristic, complemented
13#19147030C211yesmaximal, characteristic, complemented
14#19147010C211yesmaximal, characteristic, complemented
15#19147001C211yesmaximal, characteristic, complemented
16#19146996C211yesmaximal, characteristic, complemented
17#19146995C211yesmaximal, characteristic, complemented
18#19145124C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#19144552C211yesmaximal, characteristic, complemented
21#19144509C211yesmaximal, characteristic, complemented
22#482×D43C211yesmaximal, characteristic, complemented
23#19144449C211yesmaximal, characteristic, complemented
24#19144425C211yesmaximal, characteristic, complemented
25#19144270C211yesmaximal, characteristic, complemented
26#19144209C211yesmaximal, characteristic, complemented
27#19143422C211yesmaximal, characteristic, complemented
28#19143324C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3351C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583622C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic, complemented
37#14583616—21no—
38#14583614C2211yescharacteristic
39#14583614C2211yescharacteristic, complemented
40#14583612—21no—
41#14583612C2211yescharacteristic
42#14583612C2211yescharacteristic, complemented
43#14583602C2211yescharacteristic
44#14583602C2211yescharacteristic, complemented
45#14583601C2211yescharacteristic
46#14583597C2211yescharacteristic
47#14583597C2211yescharacteristic, complemented
48#14583594—21no—
49#14583583C2211yescharacteristic, complemented
50#14583581—21no—
51#14583574—21no—
52#14583572—21no—
53#14583553C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583544—21no—
56#14583538—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583515—21no—
60#14583501—21no—
61#14583488—21no—
62#14583485—21no—
63#14583479C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583444—21no—
66#14583434—21no—
67#14583429—21no—
68#14583427—21no—
69#14583412C2211yescharacteristic
70#14583408C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583299C2211yescharacteristic, complemented
83#14583297C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583238C2211yescharacteristic, complemented
86#14583238C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583232C2211yescharacteristic, complemented
89#14583228C2211yescharacteristic, complemented
90#14583227C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic
92#14583226C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic
94#14583225C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583224C2211yescharacteristic
98#14583224C2211yescharacteristic, complemented
99#14583223C2211yescharacteristic
100#14583223C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic
102#14583222C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic
104#14583220C2211yescharacteristic
105#14583220C2211yescharacteristic, complemented
106#14583219C2211yescharacteristic, complemented
107#14583219C2211yescharacteristic, complemented
108#14583218C2211yescharacteristic, complemented
109#14583218C2211yescharacteristic, complemented
110#14583212C2211yescharacteristic, complemented
111#14583212C2211yescharacteristic, complemented
112#14583211C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583201C2211yescharacteristic, complemented
115#14583198C2211yescharacteristic, complemented
116#14583198C2211yescharacteristic, complemented
117#14583196C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583194C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583190C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583180C2211yescharacteristic, complemented
124#14583179C2211yescharacteristic, complemented
125#14583178C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583152C2211yescharacteristic
128#14583152C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic, complemented
130#14583150C2211yescharacteristic
131#14583148C2211yescharacteristic, complemented
132#14583147C2211yescharacteristic
133#14583136C2211yescharacteristic
134#14583136C2211yescharacteristic, complemented
135#14583134C2211yescharacteristic
136#14583133C2211yescharacteristic, complemented
137#14583131C2211yescharacteristic
138#14583130C2211yescharacteristic, complemented
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583010C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14583000C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145#14582984C2211yescharacteristic, complemented
146C4×D344C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582974C2211yescharacteristic, complemented
149#14582971C2211yescharacteristic, complemented
150#14582969C2211yescharacteristic, complemented
151#14582968C2211yescharacteristic, complemented
152#14582968C2211yescharacteristic, complemented
153C8×D172C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582939C2211yescharacteristic, complemented
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic, complemented
166#14582936C2211yescharacteristic, complemented
167#14582936C2211yescharacteristic, complemented
168#14582935C2211yescharacteristic, complemented
169#14582934C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic, complemented
172#14582934C2211yescharacteristic, complemented
173#14582934C2211yescharacteristic, complemented
174C2×#13063258C2211yescharacteristic, complemented
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#481C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063352—24no—
211C2×#10621884C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214#13063333—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219M16×D43—24no—
220C22×C43⋊C8C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063321—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063313—21no—
249#13063313—21no—
250#13063313—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310D411yescharacteristic
265#13063309—21no—
266#13063309—21no—
267#13063309—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063306—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303D411yescharacteristic
279#13063302—21no—
280#13063302D411yescharacteristic
281#13063301C2311yescharacteristic
282#13063301C2311yescharacteristic
283#13063300—21no—
284#13063300—21no—
285#13063300—21no—
286#13063300C2311yescharacteristic
287#13063300C2311yescharacteristic
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063299—21no—
291#13063299—21no—
292#13063299—21no—
293#13063299C2311yescharacteristic
294#13063299C2311yescharacteristic
295#13063299C2311yescharacteristic
296#13063299C2311yescharacteristic
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063297—21no—
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296—21no—
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063295—21no—
310#13063295—21no—
311#13063295D411yescharacteristic
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317#13063290—21no—
318#13063290—21no—
319C4×D172—21no—
320C4×D172—21no—
321C4×D172C2311yescharacteristic
322C4×D172C2311yescharacteristic
323C4×D172C2311yescharacteristic
324D4×Dic43—21no—
325D4×Dic43C2311yescharacteristic
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⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43C2311yescharacteristic
339C4×C22⋊D43C2311yescharacteristic
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344#13063284—21no—
345#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063283—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
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#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×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#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43C2×D411yescharacteristic
508#10621902—22no—
509#10621902—22no—
510#10621900—82no—
511#10621900—82no—
512D4×D43—22no—
513D4×D43—22no—
514D4×D43—82no—
515#10621898—22no—
516#10621898—22no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2×D411yescharacteristic
523C2×D172C2×D411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548SD16×C43—22no—
549M16×C43—22no—
550M16×C43—22no—
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621884—22no—
592#10621882—22no—
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)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670D344—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872#4114yescomplemented
674C8×D43—22no—
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—41no—
686C22×D43—41no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692C22×D43C22×D411yescharacteristic
693Q8×C43—21no—
694Q8×C43—21no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—41no—
698D4×C43—42no—
699D4×C43—81no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C2511yescharacteristic
719C22⋊D43—22no—
720C22⋊D43—22no—
721C22⋊D43—41no—
722C22⋊D43—41no—
723C22⋊D43—42no—
724C22⋊D43—42no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C2×Dic43—22no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745D172—22no—
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—41no—
751D172—42no—
752D172—81no—
753D172—81no—
754D172—81no—
755D172—81no—
756C4×D43—22no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—22no—
762C4×D43—42no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43C2×#4112yes—
773C4×D432−1+412yes—
774Dic86—22no—
775Dic86—81no—
776Dic86—81no—
777Dic86—81no—
778Dic86—81no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C8×C43C2×#4112yes—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786C43⋊C8C2×#4112yes—
787#61276—431nomaximal, Sylow
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43C23×D411yescharacteristic
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—82no—
813C2×D43—162no—
814C2×D43#54712yes—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43C22×#4111yescharacteristic
827C4×C43C2×2−1+411yescharacteristic
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43#54712yes—
839#3494—431no—
840#3493—431no—
841#3354—431no—
842#3354—431no—
843#3351—431no—
844#3351D4311yescharacteristic, complemented
845#3350—431no—
846#3350—431no—
847#3347—431no—
848#3347—431no—
849#3347—431no—
850#3347—431no—
851#3343—431no—
852#3343—431no—
853#3340—431no—
854#3340—431no—
855#3339—431no—
856#3339—431no—
857#3163—431no—
858#3099—431no—
859#3096—431no—
860#3091—431no—
861C2×#482—431no—
862#3083—431no—
863#3081—431no—
864#3062—431no—
865#3055—431no—
866#2946—431no—
867#2933—431no—
868#2913—431no—
869#2911—431no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—81no—
873C2×C43C2×#54711yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358511yescharacteristic
876D43—22no—
877D43—41no—
878D43—41no—
879D43—81no—
880D43—81no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#131—431no—
883C22×M16—431no—
884#556—431no—
885#556—431no—
886#556—861no—
887#555—431no—
888#555—431no—
889#555—431no—
890#555—431no—
891#555—861no—
892#553—431no—
893#553—431no—
894#553—431no—
895#553—431no—
896#553—431no—
897#553—861no—
898#553C2×D4311yescharacteristic
899#552—431no—
900#552—861no—
901#552C2×D4311yescharacteristic, complemented
902#551—861no—
903#551—861no—
904#547—431no—
905#547—431no—
906#546—861no—
907#546—861no—
908#544—431no—
909#544—431no—
910#542—861no—
911#540—861no—
912#538—861no—
913#538—861no—
914#537—431no—
915#535—431no—
916#532—861no—
917#529—861no—
918#529—861no—
919#529—861no—
920#525—431no—
921#525—431no—
922C2×#121—431no—
923#520—431no—
924#520—431no—
925#520—431no—
926#518—431no—
927C2×#117—431no—
928C2×#117—431no—
929#501—431no—
930#501—431no—
931#501—431no—
932#501—431no—
933#499—431no—
934#499C2×D4311yescharacteristic, complemented
935#498—431no—
936#498—431no—
937#485—431no—
938#485—431no—
939#485—431no—
940#485C2×D4311yescharacteristic, complemented
941#484—431no—
942#483—431no—
943#483—431no—
944#483C2×D4311yescharacteristic, complemented
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482C2×D4311yescharacteristic
961#481—431no—
962#481—431no—
963#481—431no—
964#481—431no—
965#481C2×D4311yescharacteristic, complemented
966#480—431no—
967#480—431no—
968#480—431no—
969#479—431no—
970#479C2×D4311yescharacteristic, complemented
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478C2×D4311yescharacteristic, complemented
977#477—431no—
978#477—431no—
979#476—431no—
980#476—431no—
981#474—431no—
982#474—431no—
983#474—431no—
984#474—431no—
985#469—431no—
986#469—431no—
987#469—431no—
988#469—431no—
989#468—431no—
990#468—431no—
991#468C2×D4311yescharacteristic
992#468C2×D4311yescharacteristic, complemented
993#466—431no—
994#466—431no—
995#466—431no—
996#466—431no—
997#465—431no—
998#465—431no—
999#465—431no—
1000#465—431no—
1001#442—431no—
1002#442—431no—
1003#440—431no—
1004#440—431no—
1005C4×SD16—431no—
1006C4×SD16C2×D4311yescharacteristic, complemented
1007C4×D8—431no—
1008C4×D8—431no—
1009#436—431no—
1010#436C2×D4311yescharacteristic, complemented
1011#435—431no—
1012#435—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428C2×D4311yescharacteristic, complemented
1029#428C2×D4311yescharacteristic, complemented
1030#427—431no—
1031#427—431no—
1032#427—431no—
1033#427—431no—
1034#427—431no—
1035#427—431no—
1036#427—431no—
1037#427—431no—
1038C2×#107—431no—
1039C2×#107—431no—
1040C2×#107—431no—
1041C2×#106—431no—
1042#424—431no—
1043#418—431no—
1044#417—431no—
1045#416—431no—
1046#416—431no—
1047C2×#102—431no—
1048C2×#102—431no—
1049#408—431no—
1050C2×C22⋊C8—431no—
1051#405—431no—
1052C43#6127611yescharacteristic, complemented, Sylow
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—861no—
1056C2×#41—861no—
1057C22×D4—431no—
1058C22×D4—861no—
1059C23×C4—431no—
1060AGL(1,ℤ/8)—864no—
1061C2×SD16—431no—
1062C2×SD16C22×D4311yescharacteristic
1063C2×D8—431no—
1064C2×D8—431no—
1065#131—864no—
1066C2×M16—431no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—864no—
1071C2×M16C22×D4311yescharacteristic
1072C2×M16C22×D4311yescharacteristic
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—431no—
1078C22×C8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085#127—861no—
1086#126—21no—
1087#126—21no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—21no—
1099#125—431no—
1100#125—431no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125C22×D4311yescharacteristic
1105#125C22×D4311yescharacteristic
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#123—21no—
1118#123—21no—
1119#123—431no—
1120#123—431no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8C22×D4311yescharacteristic
1144C22⋊Q8C22×D4311yescharacteristic
1145#121—21no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121C22×D4311yescharacteristic
1173#121C22×D4311yescharacteristic
1174#120—431no—
1175#120—431no—
1176#120—861no—
1177#120—861no—
1178#120—861no—
1179C4×Q8—431no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8C22×D4311yescharacteristic
1185C4×D4—21no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
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×D4C22×D4311yescharacteristic
1212C4×D4C22×D4311yescharacteristic
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—431no—
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#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4C22×D4311yescharacteristic
1247C2×C4⋊C4C22×D4311yescharacteristic
1248C2×C22⋊C4—861no—
1249C2×C22⋊C4—861no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C42—861no—
1254C2×C42—861no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107C22×D4311yescharacteristic
1270#107C22×D4311yescharacteristic
1271#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106C22×D4311yescharacteristic
1287#106C22×D4311yescharacteristic
1288#106C22×D4311yescharacteristic
1289#106C22×D4311yescharacteristic
1290#106C22×D4311yescharacteristic
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8—431no—
1294C4⋊C8C22×D4311yescharacteristic
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329C4×C8—431no—
1330C4×C8C22×D4311yescharacteristic
1331C24—431no—
1332C24—861no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—3442no—
1338#41—3442no—
1339C2×Q8—431no—
1340C2×Q8—861no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8C23×D4311yescharacteristic
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—431no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—3442no—
1370C2×D4D4×D4311yescharacteristic
1371C2×D4C23×D4311yescharacteristic
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—431no—
1381C22×C4—862no—
1382C22×C4—862no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4C23×D4311yescharacteristic
1397C22×C4C23×D4311yescharacteristic
1398SD16—22no—
1399SD16—862no—
1400D8—862no—
1401D8—862no—
1402M16—22no—
1403M16—22no—
1404M16—434no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408C2×C8—431no—
1409C2×C8—431no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—862no—
1413C2×C8—862no—
1414C2×C8—862no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4D4×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C4⋊C4C23×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4D4×D4311yescharacteristic
1511C22⋊C4D4×D4311yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—431no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42C23×D4311yescharacteristic
1529C23—21no—
1530C23—431no—
1531C23—431no—
1532C23—431no—
1533C23—862no—
1534C23—861no—
1535C23—861no—
1536C23—3441no—
1537C23—3441no—
1538C23—1721no—
1539C23—1721no—
1540C23—1722no—
1541C23C2×D4×D4311yescharacteristic
1542C23C2×D4×D4311yescharacteristic
1543Q8—21no—
1544Q8—21no—
1545Q8—862no—
1546Q8—3441no—
1547Q8—3441no—
1548Q8—3441no—
1549Q8—3441no—
1550D4—21no—
1551D4—21no—
1552D4—41no—
1553D4—42no—
1554D4—81no—
1555D4—862no—
1556D4—862no—
1557D4—862no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—1721no—
1572D4—1722no—
1573D4—1722no—
1574D4—1721no—
1575D4—1721no—
1576D4—1722no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—431no—
1592C2×C4—432no—
1593C2×C4—432no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—862no—
1599C2×C4—862no—
1600C2×C4—862no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—432no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—432no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—3442no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—1721no—
1661C22—1721no—
1662C22—6882no—
1663C22C22×D4×D4311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—432no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—861no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4—1721no—
1686C4C2×#41×D4311yescharacteristic
1687C42−1+4×D4311yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—81no—
1691C2—862no—
1692C2—3441no—
1693C2—3441no—
1694C2—1721no—
1695C2—1721no—
1696C2#547×D4311yescharacteristic
1697C2#1914936711yescharacteristic
1698C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3351C2
socleC22×C43C23×D4
hypercenter#3351D43
hypocenterC43#61276
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #19148326C2semidirect
2. #19148313C2semidirect
3. #19147191C2semidirect
4. #19147188C2semidirect
5. #19147158C2semidirect
6. #19147137C2semidirect
7. #19147135C2semidirect
8. #19147096C2semidirect
9. #19147096C2semidirect
10. #19147092C2semidirect
11. #19147089C2semidirect
12. #19147035C2semidirect
13. #19147030C2semidirect
14. #19147010C2semidirect
15. #19147001C2semidirect
16. #19146996C2semidirect
17. #19146995C2semidirect
18. #19145124C2semidirect
19. #19144581C2semidirect
20. #19144552C2semidirect
21. #19144509C2semidirect
22. #482×D43C2semidirect
23. #19144449C2semidirect
24. #19144425C2semidirect
25. #19144270C2semidirect
26. #19144209C2semidirect
27. #19143422C2semidirect
28. #19143324C2semidirect
29. #19143194C2semidirect
30. #19143182C2semidirect
31. C43×#3351C2semidirect
35. #14583622C22semidirect
36. #14583620C22semidirect
39. #14583614C22semidirect
42. #14583612C22semidirect
44. #14583602C22semidirect
47. #14583597C22semidirect
49. #14583583C22semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583299C22semidirect
83. #14583297C22semidirect
84. #14583296C22semidirect
85. #14583238C22semidirect
86. #14583238C22semidirect
87. #14583238C22semidirect
88. #14583232C22semidirect
89. #14583228C22semidirect
90. #14583227C22semidirect
92. #14583226C22semidirect
94. #14583225C22semidirect
95. #14583225C22semidirect
96. #14583225C22semidirect
98. #14583224C22semidirect
100. #14583223C22semidirect
102. #14583222C22semidirect
105. #14583220C22semidirect
106. #14583219C22semidirect
107. #14583219C22semidirect
108. #14583218C22semidirect
109. #14583218C22semidirect
110. #14583212C22semidirect
111. #14583212C22semidirect
112. #14583211C22semidirect
113. #14583208C22semidirect
114. #14583201C22semidirect
115. #14583198C22semidirect
116. #14583198C22semidirect
117. #14583196C22semidirect
118. #14583196C22semidirect
119. #14583194C22semidirect
120. #14583192C22semidirect
121. #14583190C22semidirect
122. #14583187C22semidirect
123. #14583180C22semidirect
124. #14583179C22semidirect
125. #14583178C22semidirect
126. #14583178C22semidirect
128. #14583152C22semidirect
129. #14583151C22semidirect
131. #14583148C22semidirect
134. #14583136C22semidirect
136. #14583133C22semidirect
138. #14583130C22semidirect
140. #14583125C22semidirect
141. #14583010C22semidirect
142. #14583009C22semidirect
143. #14583000C22semidirect
144. #14582997C22semidirect
145. #14582984C22semidirect
146. C4×D344C22semidirect
147. #14582979C22semidirect
148. #14582974C22semidirect
149. #14582971C22semidirect
150. #14582969C22semidirect
151. #14582968C22semidirect
152. #14582968C22semidirect
153. C8×D172C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
162. #14582939C22semidirect
165. #14582938C22semidirect
166. #14582936C22semidirect
167. #14582936C22semidirect
168. #14582935C22semidirect
171. #14582934C22semidirect
172. #14582934C22semidirect
173. #14582934C22semidirect
174. C2×#13063258C22semidirect
176. #107×D43C22semidirect
189. C43×#552C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#483C22semidirect
194. C43×#481C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
673. #10621872#41semidirect
844. #3351D43semidirect
901. #552C2×D43semidirect
934. #499C2×D43semidirect
940. #485C2×D43semidirect
944. #483C2×D43semidirect
965. #481C2×D43semidirect
970. #479C2×D43semidirect
976. #478C2×D43semidirect
992. #468C2×D43semidirect
1006. C4×SD16C2×D43semidirect
1010. #436C2×D43semidirect
1028. #428C2×D43semidirect
1029. #428C2×D43semidirect
1052. C43#61276semidirect

Maximal subgroups

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

subgroupindex
#191483262
#191483132
#191471912
#191471882
#191471582
#191471372
#191471352
#191470962
#191470922
#191470892
#191470352
#191470302
#191470102
#191470012
#191469962
#191469952
#191451242
#191445812
#191445522
#191445092
#482×D432
#191444492
#191444252
#191442702
#191442092
#191434222
#191433242
#191431942
#191431822
C43×#33512
#6127643