Finite Group Databasebeta

← #25969069

Subgroups — #25969069

Order 11008.

1640 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148342C211yesmaximal, characteristic
2#19147998C211yesmaximal, characteristic, complemented
3#19145900C211yesmaximal, characteristic, complemented
4#19145896C211yesmaximal, characteristic, complemented
5#19145885C211yesmaximal, characteristic, complemented
6#19145881C211yesmaximal, characteristic, complemented
7#19145868C211yesmaximal, characteristic, complemented
8#19145860C211yesmaximal, characteristic, complemented
9#19145856C211yesmaximal, characteristic, complemented
10#19145856C211yesmaximal, characteristic, complemented
11#19145839C211yesmaximal, characteristic, complemented
12#19145835C211yesmaximal, characteristic, complemented
13#19145806C211yesmaximal, characteristic, complemented
14#19145805C211yesmaximal, characteristic, complemented
15#19145777C211yesmaximal, characteristic, complemented
16#19145776C211yesmaximal, characteristic, complemented
17#19145752C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19145120C211yesmaximal, characteristic, complemented
20#19144955C211yesmaximal, characteristic, complemented
21#19144955C211yesmaximal, characteristic, complemented
22#19144542C211yesmaximal, characteristic, complemented
23#19144527C211yesmaximal, characteristic
24#19144513C211yesmaximal, characteristic
25#485×D43C211yesmaximal, characteristic, complemented
26#19144460C211yesmaximal, characteristic, complemented
27#19144449C211yesmaximal, characteristic, complemented
28#19144436C211yesmaximal, characteristic, complemented
29#19144434C211yesmaximal, characteristic, complemented
30#19143248C211yesmaximal, characteristic, complemented
31C43×#3231C211yesmaximal, characteristic, complemented
32#14583621—21no—
33#14583603—21no—
34#14583590—21no—
35#14583582—21no—
36#14583581—21no—
37#14583581—21no—
38#14583576—21no—
39#14583573—21no—
40#14583529C2211yescharacteristic
41#14583529C2211yescharacteristic
42#14583529C2211yescharacteristic
43#14583529C2211yescharacteristic
44#14583528—21no—
45#14583528—21no—
46#14583526C2211yescharacteristic
47#14583526C2211yescharacteristic
48#14583526C2211yescharacteristic
49#14583526C2211yescharacteristic
50#14583526C2211yescharacteristic
51#14583524—21no—
52#14583524—21no—
53#14583523C2211yescharacteristic
54#14583521C2211yescharacteristic
55#14583510C2211yescharacteristic
56#14583507C2211yescharacteristic
57#14583474C2211yescharacteristic
58#14583456C2211yescharacteristic
59#14583453—21no—
60#14583453—21no—
61#14583453—21no—
62#14583453—21no—
63#14583452C2211yescharacteristic
64#14583452C2211yescharacteristic
65#14583451C2211yescharacteristic
66#14583435C2211yescharacteristic
67#14583433C2211yescharacteristic
68#14583412C2211yescharacteristic
69C22⋊Q8×D43C2211yescharacteristic
70#14583381C2211yescharacteristic
71#14583375C2211yescharacteristic
72C2×#13063282C2211yescharacteristic
73#117×D43C2211yescharacteristic
74#117×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583305C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583301C2211yescharacteristic, complemented
85#14583301C2211yescharacteristic, complemented
86#14583300C2211yescharacteristic, complemented
87#14583299C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583267C2211yescharacteristic, complemented
90#14583267C2211yescharacteristic, complemented
91#14583266C2211yescharacteristic, complemented
92#14583266C2211yescharacteristic, complemented
93#14583261C2211yescharacteristic, complemented
94#14583261C2211yescharacteristic, complemented
95#14583260C2211yescharacteristic, complemented
96#14583260C2211yescharacteristic, complemented
97#14583255C2211yescharacteristic, complemented
98#14583255C2211yescharacteristic, complemented
99#14583254C2211yescharacteristic, complemented
100#14583254C2211yescharacteristic, complemented
101#14583248C2211yescharacteristic, complemented
102#14583248C2211yescharacteristic, complemented
103#14583243C2211yescharacteristic
104#14583242C2211yescharacteristic
105#14583241C2211yescharacteristic
106#14583241C2211yescharacteristic
107#14583240C2211yescharacteristic
108#14583240C2211yescharacteristic
109#14583239C2211yescharacteristic
110#14583239C2211yescharacteristic
111#14583238C2211yescharacteristic
112#14583238C2211yescharacteristic
113#14583237C2211yescharacteristic
114#14583237C2211yescharacteristic
115#14583237C2211yescharacteristic
116#14583237C2211yescharacteristic
117#14583236C2211yescharacteristic
118#14583233C2211yescharacteristic
119#14583233C2211yescharacteristic
120#14583231C2211yescharacteristic
121#14583228C2211yescharacteristic
122#14583228C2211yescharacteristic
123#14583226C2211yescharacteristic
124#14583225C2211yescharacteristic
125#14583224C2211yescharacteristic
126#14583224C2211yescharacteristic
127#14583223C2211yescharacteristic
128#14583223C2211yescharacteristic
129#14583219C2211yescharacteristic
130#14583214C2211yescharacteristic
131#14583209C2211yescharacteristic, complemented
132#14583208C2211yescharacteristic, complemented
133#14583208C2211yescharacteristic, complemented
134#14583205C2211yescharacteristic, complemented
135#14583204C2211yescharacteristic, complemented
136#14583204C2211yescharacteristic, complemented
137#14583203C2211yescharacteristic, complemented
138#14583203C2211yescharacteristic, complemented
139#14583202C2211yescharacteristic, complemented
140#14583198C2211yescharacteristic, complemented
141#14583196C2211yescharacteristic, complemented
142#14583196C2211yescharacteristic, complemented
143#14583195C2211yescharacteristic, complemented
144#14583194C2211yescharacteristic, complemented
145#14583194C2211yescharacteristic, complemented
146#14583193C2211yescharacteristic, complemented
147#14583192C2211yescharacteristic, complemented
148#14583192C2211yescharacteristic, complemented
149#14583190C2211yescharacteristic, complemented
150#14583188C2211yescharacteristic, complemented
151#14583185C2211yescharacteristic, complemented
152#14583184C2211yescharacteristic, complemented
153#14583184C2211yescharacteristic, complemented
154#14583183C2211yescharacteristic, complemented
155#14583182C2211yescharacteristic, complemented
156#14583182C2211yescharacteristic, complemented
157#14583180C2211yescharacteristic, complemented
158#14583178C2211yescharacteristic, complemented
159#14582959C2211yescharacteristic
160#14582959C2211yescharacteristic
161#14582958C2211yescharacteristic
162#14582958C2211yescharacteristic
163#14582956C2211yescharacteristic
164#14582953C2211yescharacteristic
165#14582949C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#103×D43C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C43×#533C2211yescharacteristic
190C43×#500C2211yescharacteristic, complemented
191C43×#498C2211yescharacteristic, complemented
192C43×#487C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic
195C43×#485C2211yescharacteristic
196C43×#485C2211yescharacteristic
197C43×#485C2211yescharacteristic
198C43×#479C2211yescharacteristic, complemented
199C43×#479C2211yescharacteristic, complemented
200C43×#479C2211yescharacteristic, complemented
201C43×#479C2211yescharacteristic, complemented
202C43×#431C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C2×#10621872C2311yescharacteristic
207C2×#10621872C2311yescharacteristic
208C2×C8×D43C2311yescharacteristic
209C2×C8×D43C2311yescharacteristic
210#13063325C2311yescharacteristic
211#13063325C2311yescharacteristic
212#13063324—21no—
213#13063324—21no—
214#13063324—21no—
215#13063324—21no—
216#13063324C2311yescharacteristic
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063324C2311yescharacteristic
221#13063323—21no—
222#13063323—21no—
223#13063323—21no—
224#13063323—21no—
225#13063323—21no—
226#13063323C2311yescharacteristic
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063319—21no—
233#13063319—21no—
234#13063319—21no—
235#13063317—21no—
236#13063317C2311yescharacteristic
237#13063317C2311yescharacteristic
238#13063317C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063315—21no—
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063314—21no—
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313C2311yescharacteristic
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063309—21no—
267#13063308—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305C2311yescharacteristic
273#13063304—21no—
274#13063304—21no—
275#13063304C2311yescharacteristic
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063295—21no—
306Q8×Dic43C2311yescharacteristic
307Q8×Dic43C2311yescharacteristic
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86C2311yescharacteristic
316#13063290—21no—
317#13063290—21no—
318#13063290C2311yescharacteristic
319C4×D172—21no—
320C4×D172C2311yescharacteristic
321#13063287—21no—
322#13063287—21no—
323#13063287C2311yescharacteristic
324C4×C22⋊D43—21no—
325(C22⋊D43)⋊C4—21no—
326(C22⋊D43)⋊C4—21no—
327#13063284C2311yescharacteristic
328#13063284C2311yescharacteristic
329#13063283—21no—
330#13063283—21no—
331#13063283C2311yescharacteristic
332#13063283C2311yescharacteristic
333#13063283C2311yescharacteristic
334#13063283C2311yescharacteristic
335#13063283C2311yescharacteristic
336#13063282—21no—
337#13063282—21no—
338#13063282—21no—
339#13063282—21no—
340#13063282—21no—
341#13063282D411yescharacteristic
342#13063282D411yescharacteristic
343#13063282D411yescharacteristic
344#13063282D411yescharacteristic
345#13063282C2311yescharacteristic
346#13063282C2311yescharacteristic
347#13063282C2311yescharacteristic
348#13063282C2311yescharacteristic
349#13063281—21no—
350#13063281—21no—
351#13063281—21no—
352C2×Dic43⋊C4D411yescharacteristic
353C2×Dic43⋊C4D411yescharacteristic
354C4⋊C4×D43—21no—
355C4⋊C4×D43—21no—
356C4⋊C4×D43C2311yescharacteristic
357C4⋊C4×D43C2311yescharacteristic
358C4⋊C4×D43C2311yescharacteristic
359C4⋊C4×D43C2311yescharacteristic
360C4⋊C4×D43C2311yescharacteristic
361C2×(C2×D43)⋊C4D411yescharacteristic
362C2×(C2×D43)⋊C4D411yescharacteristic
363C22⋊C4×D43—21no—
364C22⋊C4×D43—21no—
365C22⋊C4×D43—21no—
366C2×C4×Dic43C2311yescharacteristic
367C42×D43—21no—
368C42×D43—21no—
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063258C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43C2311yescharacteristic
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442C22⋊Q8×C43—21no—
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43C2311yescharacteristic
446C22⋊Q8×C43C2311yescharacteristic
447C4×Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452#117×C43—21no—
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C42×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43C2×D411yescharacteristic
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C22×C4×C43C2×D411yescharacteristic
485C22×C4×C43C2×D411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43—21no—
488C22×Dic43C2×D411yescharacteristic
489C22×Dic43C2×D411yescharacteristic
490C22×Dic43C2×D411yescharacteristic
491#10621902—22no—
492#10621902—22no—
493Q8×D43—22no—
494Q8×D43—22no—
495C2×D172—21no—
496C2×D172—21no—
497C2×D172C2411yescharacteristic
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43C2×D411yescharacteristic
510C2×C4×D43C2×D411yescharacteristic
511C2×C4×D43C2411yescharacteristic
512C2×C4×D43C2411yescharacteristic
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86—21no—
516C2×Dic86—21no—
517C2×Dic86—21no—
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86C2411yescharacteristic
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43—21no—
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43C2411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C42×C43—21no—
550C42×C43—21no—
551C42×C43—21no—
552C42×C43—21no—
553C42×C43C2×D411yescharacteristic
554C42×C43C2×D411yescharacteristic
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560(C2×D43)⋊C4—21no—
561(C2×D43)⋊C4—21no—
562(C2×D43)⋊C4—21no—
563(C2×D43)⋊C4—21no—
564(C2×D43)⋊C4—21no—
565(C2×D43)⋊C4—21no—
566(C2×D43)⋊C4—21no—
567(C2×D43)⋊C4—21no—
568(C2×D43)⋊C4—21no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4C2×D411yescharacteristic
577(C2×D43)⋊C4C2×D411yescharacteristic
578(C2×D43)⋊C4C2×D411yescharacteristic
579(C2×D43)⋊C4C2×D411yescharacteristic
580(C2×D43)⋊C4C2×D411yescharacteristic
581(C2×D43)⋊C4C2×D411yescharacteristic
582(C2×D43)⋊C4C2×D411yescharacteristic
583(C2×D43)⋊C4C2×D411yescharacteristic
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43C2411yescharacteristic
595C4⋊Dic43C2411yescharacteristic
596C4⋊Dic43C2411yescharacteristic
597C4⋊Dic43C2411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600Dic43⋊C4—21no—
601Dic43⋊C4—21no—
602Dic43⋊C4—21no—
603Dic43⋊C4—21no—
604Dic43⋊C4—21no—
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4C2×D411yescharacteristic
629Dic43⋊C4C2×D411yescharacteristic
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊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×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2411yescharacteristic
650C4×Dic43C2411yescharacteristic
651C2×C43⋊C8C2411yescharacteristic
652C2×C43⋊C8C2411yescharacteristic
653C2×C43⋊C8C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655#10621872—22no—
656#10621872—22no—
657C8×D43—22no—
658C8×D43—22no—
659C23×C43C22×D411yescharacteristic
660C22×D43—22no—
661C22×D43—21no—
662C22×D43—41no—
663C22×D43—41no—
664C22×D43C22×D411yescharacteristic
665C22×D43C22×D411yescharacteristic
666Q8×C43—21no—
667Q8×C43—21no—
668Q8×C43—21no—
669Q8×C43—21no—
670Q8×C43—81no—
671Q8×C43—81no—
672Q8×C43—81no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—41no—
684C2×C4×C43—41no—
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C2511yescharacteristic
691C22⋊D43—42no—
692C2×Dic43—22no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—41no—
701C2×Dic43—41no—
702C2×Dic43C22×D411yescharacteristic
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708D172—21no—
709D172—21no—
710D172—42no—
711D172—81no—
712C4×D43—22no—
713C4×D43—21no—
714C4×D43—21no—
715C4×D43—22no—
716C4×D43—42no—
717C4×D43—42no—
718C4×D43—81no—
719C4×D43—81no—
720C4×D43—81no—
721C4×D43—81no—
722C4×D43—81no—
723C4×D43—81no—
724C4×D43—81no—
725C4×D432−1+412yes—
726C4×D432−1+412yes—
727Dic86—21no—
728Dic86—21no—
729Dic86—42no—
730Dic86—81no—
731Dic86—81no—
732Dic86—81no—
733Dic86—81no—
734Dic86—81no—
735Dic86—81no—
736Dic86—81no—
737C8×C43—21no—
738C8×C43—21no—
739C8×C43—21no—
740C8×C43—21no—
741C43⋊C8—21no—
742C43⋊C8—21no—
743C43⋊C8—21no—
744C43⋊C8—21no—
745#60876—431nomaximal, Sylow
746C22×C43—21no—
747C22×C43—21no—
748C22×C43—21no—
749C22×C43C23×D411yescharacteristic
750C2×D43—21no—
751C2×D43—21no—
752C2×D43—21no—
753C2×D43—21no—
754C2×D43—21no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—82no—
759C2×D43#53612yes—
760C4×C43—21no—
761C4×C43—21no—
762C4×C43—21no—
763C4×C43—21no—
764C4×C43—21no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43C2×2−1+411yescharacteristic
774C4×C43C2×2−1+411yescharacteristic
775Dic43—21no—
776Dic43—21no—
777Dic43—21no—
778Dic43—21no—
779Dic43—21no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785Dic43—41no—
786Dic43—41no—
787Dic43#53612yes—
788#3495—431no—
789#3458—431no—
790#3244—431no—
791#3244—431no—
792#3243—431no—
793#3243—431no—
794#3242—431no—
795#3242—431no—
796#3242—431no—
797#3242—431no—
798#3240—431no—
799#3240—431no—
800#3237—431no—
801#3237—431no—
802#3233—431no—
803#3233—431no—
804#3231—431no—
805#3231D4311yescharacteristic, complemented
806#3164—431no—
807#3163—431no—
808#3137—431no—
809#3137—431no—
810#3095—431no—
811#3093—431no—
812#3091—431no—
813C2×#485—431no—
814#3084—431no—
815#3083—431no—
816#3082—431no—
817#3082—431no—
818#2924—431no—
819C2×C43—41no—
820C2×C43C2×#53611yescharacteristic
821C2×C43#358411yescharacteristic
822C2×C43#358611yescharacteristic
823D43—22no—
824D43—41no—
825D43—81no—
826#556—861no—
827#554—861no—
828#552—861no—
829#552—861no—
830#552—861no—
831#552—861no—
832#551—861no—
833#551—861no—
834#544—431no—
835#544—431no—
836#544—431no—
837#544—431no—
838#544—431no—
839#544—431no—
840#544—431no—
841#544—431no—
842#544—431no—
843#544—861no—
844#544—861no—
845#543—861no—
846#543—861no—
847#542—431no—
848#542—431no—
849#541—431no—
850#541—431no—
851#536—431no—
852#533—431no—
853#533—431no—
854#533—431no—
855#533—431no—
856#533—861no—
857#533—861no—
858#533—861no—
859#533—861no—
860#533C2×D4311yescharacteristic
861#533C2×D4311yescharacteristic
862#529—431no—
863#529—431no—
864#525—431no—
865C2×C22⋊Q8—431no—
866#520—431no—
867#519—431no—
868C2×#117—431no—
869C2×#117—431no—
870C2×#117—431no—
871#501—431no—
872#501—431no—
873#501—431no—
874#501—431no—
875#501—431no—
876#501—431no—
877#501—431no—
878#501—431no—
879#500—431no—
880#500C2×D4311yescharacteristic, complemented
881#499—431no—
882#499—431no—
883#499—431no—
884#499—431no—
885#498—431no—
886#498C2×D4311yescharacteristic, complemented
887#491—431no—
888#491—431no—
889#491—431no—
890#491—431no—
891#489—431no—
892#489—431no—
893#489—431no—
894#489—431no—
895#488—431no—
896#488—431no—
897#488—431no—
898#488—431no—
899#487—431no—
900#487—431no—
901#487C2×D4311yescharacteristic, complemented
902#487C2×D4311yescharacteristic, complemented
903#485—431no—
904#485—431no—
905#485—431no—
906#485—431no—
907#485—431no—
908#485—431no—
909#485—431no—
910#485—431no—
911#485—431no—
912#485—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485C2×D4311yescharacteristic
918#485C2×D4311yescharacteristic
919#485C2×D4311yescharacteristic
920#485C2×D4311yescharacteristic
921#484—431no—
922#484—431no—
923#484—431no—
924#483—431no—
925#483—431no—
926#483—431no—
927#482—431no—
928#482—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#481—431no—
934#480—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479C2×D4311yescharacteristic, complemented
944#479C2×D4311yescharacteristic, complemented
945#479C2×D4311yescharacteristic, complemented
946#479C2×D4311yescharacteristic, complemented
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#477—431no—
952#477—431no—
953#477—431no—
954#477—431no—
955#477—431no—
956#477—431no—
957#476—431no—
958#476—431no—
959#475—431no—
960#475—431no—
961#475—431no—
962#475—431no—
963#475—431no—
964#475—431no—
965#474—431no—
966#474—431no—
967#433—431no—
968#433—431no—
969#433—431no—
970#433—431no—
971#432—431no—
972#432—431no—
973#431—431no—
974#431C2×D4311yescharacteristic
975#428—431no—
976#428—431no—
977#428—431no—
978#428—431no—
979#427—431no—
980#427—431no—
981C2×#107—431no—
982C2×#106—431no—
983#424—431no—
984#424—431no—
985#419—431no—
986#419—431no—
987#417—431no—
988#417—431no—
989#416—431no—
990#416—431no—
991C2×#103—431no—
992C2×#103—431no—
993#407—431no—
994C2×C22⋊C8—431no—
995#405—431no—
996#405—431no—
997C43#6087611yescharacteristic, complemented, Sylow
998C2×#41—431no—
999C22×Q8—431no—
1000C23×C4—431no—
1001C2×M16—431no—
1002C2×M16—431no—
1003C22×C8—431no—
1004C22×C8—431no—
1005C4⋊Q8—431no—
1006C4⋊Q8—431no—
1007C4⋊Q8—431no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—861no—
1014C4⋊Q8—861no—
1015C4⋊Q8—861no—
1016C4⋊Q8—861no—
1017C4⋊Q8—861no—
1018C4⋊Q8—861no—
1019C4⋊Q8—861no—
1020C4⋊Q8—861no—
1021C4⋊Q8—861no—
1022C4⋊Q8C22×D4311yescharacteristic
1023C4⋊Q8C22×D4311yescharacteristic
1024C4⋊Q8C22×D4311yescharacteristic
1025C4⋊Q8C22×D4311yescharacteristic
1026#126—861no—
1027#126—861no—
1028#126—861no—
1029#126—861no—
1030#126—861no—
1031#126—861no—
1032#126—861no—
1033#126—861no—
1034#125—21no—
1035#125—431no—
1036#125—431no—
1037#125—431no—
1038#125—431no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—861no—
1044#125—861no—
1045#125—861no—
1046#125—861no—
1047#125—861no—
1048#125—861no—
1049#125—861no—
1050#125—861no—
1051#125—861no—
1052#125—861no—
1053#125—861no—
1054#125—861no—
1055#125—861no—
1056#125—861no—
1057#125C22×D4311yescharacteristic
1058#125C22×D4311yescharacteristic
1059#124—431no—
1060#124—431no—
1061#124—861no—
1062#124—861no—
1063#123—861no—
1064#123—861no—
1065#123—861no—
1066#123—861no—
1067#123—861no—
1068#123—861no—
1069#123—861no—
1070C22⋊Q8—21no—
1071C22⋊Q8—21no—
1072C22⋊Q8—21no—
1073C22⋊Q8—431no—
1074C22⋊Q8—431no—
1075C22⋊Q8—431no—
1076C22⋊Q8—431no—
1077C22⋊Q8—861no—
1078C22⋊Q8—861no—
1079C22⋊Q8—861no—
1080C22⋊Q8—861no—
1081C22⋊Q8—861no—
1082C22⋊Q8—861no—
1083C22⋊Q8—861no—
1084C22⋊Q8—861no—
1085C22⋊Q8—861no—
1086C22⋊Q8—861no—
1087C22⋊Q8—861no—
1088C22⋊Q8—861no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8C22×D4311yescharacteristic
1109C22⋊Q8C22×D4311yescharacteristic
1110#121—431no—
1111#121—431no—
1112#120—861no—
1113C4×Q8—21no—
1114C4×Q8—21no—
1115C4×Q8—21no—
1116C4×Q8—431no—
1117C4×Q8—431no—
1118C4×Q8—431no—
1119C4×Q8—431no—
1120C4×Q8—861no—
1121C4×Q8—861no—
1122C4×Q8—861no—
1123C4×Q8—861no—
1124C4×Q8—861no—
1125C4×Q8—861no—
1126C4×Q8—861no—
1127C4×Q8—861no—
1128C4×Q8—861no—
1129C4×Q8C22×D4311yescharacteristic
1130C4×Q8C22×D4311yescharacteristic
1131C4×D4—431no—
1132C4×D4—431no—
1133C4×D4—861no—
1134C4×D4—861no—
1135C4×D4—861no—
1136C4×D4—861no—
1137C4×D4—861no—
1138C4×D4—861no—
1139#117—21no—
1140#117—431no—
1141#117—431no—
1142#117—431no—
1143#117—431no—
1144#117—431no—
1145#117—431no—
1146#117—431no—
1147#117—431no—
1148#117—431no—
1149#117—431no—
1150#117—431no—
1151#117—431no—
1152#117—431no—
1153#117—431no—
1154#117—431no—
1155#117—861no—
1156#117—861no—
1157#117—861no—
1158#117—861no—
1159#117—861no—
1160#117—861no—
1161#117—861no—
1162#117—861no—
1163#117—861no—
1164#117—861no—
1165#117C22×D4311yescharacteristic
1166#117C22×D4311yescharacteristic
1167C2×C4⋊C4—431no—
1168C2×C4⋊C4—431no—
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—861no—
1175C2×C4⋊C4—861no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—861no—
1179C2×C22⋊C4—861no—
1180C2×C22⋊C4—861no—
1181C2×C42—431no—
1182C2×C42—861no—
1183C2×C42—861no—
1184C2×C42C22×D4311yescharacteristic
1185#107—431no—
1186#107—431no—
1187#107—431no—
1188#107—431no—
1189#107—431no—
1190#107—431no—
1191#107—431no—
1192#107—431no—
1193#107—431no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107C22×D4311yescharacteristic
1198#107C22×D4311yescharacteristic
1199#107C22×D4311yescharacteristic
1200#107C22×D4311yescharacteristic
1201#106—431no—
1202#106—431no—
1203#106—431no—
1204#106—431no—
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106C22×D4311yescharacteristic
1214#106C22×D4311yescharacteristic
1215#106C22×D4311yescharacteristic
1216#106C22×D4311yescharacteristic
1217C4⋊C8—431no—
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8C22×D4311yescharacteristic
1224C4⋊C8C22×D4311yescharacteristic
1225#103—431no—
1226#103—431no—
1227#103—431no—
1228#103—431no—
1229#103—431no—
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103—431no—
1236#103—431no—
1237#103—431no—
1238#103—431no—
1239#103—431no—
1240#103—431no—
1241#103C22×D4311yescharacteristic
1242#103C22×D4311yescharacteristic
1243#103C22×D4311yescharacteristic
1244#103C22×D4311yescharacteristic
1245#103C22×D4311yescharacteristic
1246#103C22×D4311yescharacteristic
1247#103C22×D4311yescharacteristic
1248#103C22×D4311yescharacteristic
1249#102—431no—
1250#102—431no—
1251#102—431no—
1252#102—431no—
1253#102—431no—
1254#102—431no—
1255#102—431no—
1256#102—431no—
1257C22⋊C8—431no—
1258C22⋊C8—431no—
1259C22⋊C8—431no—
1260C22⋊C8—431no—
1261C22⋊C8—431no—
1262C22⋊C8—431no—
1263C22⋊C8C22×D4311yescharacteristic
1264C22⋊C8C22×D4311yescharacteristic
1265#97—431no—
1266#97—431no—
1267#97—431no—
1268#97—431no—
1269C4×C8—431no—
1270C4×C8—431no—
1271C4×C8C22×D4311yescharacteristic
1272C4×C8C22×D4311yescharacteristic
1273C24—431no—
1274#41—862no—
1275#41—862no—
1276C2×Q8—21no—
1277C2×Q8—21no—
1278C2×Q8—21no—
1279C2×Q8—431no—
1280C2×Q8—861no—
1281C2×Q8—861no—
1282C2×Q8—861no—
1283C2×Q8—861no—
1284C2×Q8—861no—
1285C2×Q8—861no—
1286C2×Q8—862no—
1287C2×Q8—862no—
1288C2×Q8—861no—
1289C2×Q8—861no—
1290C2×Q8C23×D4311yescharacteristic
1291C2×Q8C23×D4311yescharacteristic
1292C2×D4—431no—
1293C2×D4—861no—
1294C2×D4—861no—
1295C2×D4—861no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—431no—
1300C22×C4—431no—
1301C22×C4—431no—
1302C22×C4—431no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—861no—
1306C22×C4—861no—
1307C22×C4—861no—
1308C22×C4—861no—
1309C22×C4—861no—
1310C22×C4—861no—
1311C22×C4—861no—
1312C22×C4—861no—
1313C22×C4—861no—
1314C22×C4D4×D4311yescharacteristic
1315C22×C4D4×D4311yescharacteristic
1316C22×C4C23×D4311yescharacteristic
1317M16—862no—
1318M16—862no—
1319C2×C8—431no—
1320C2×C8—431no—
1321C2×C8—431no—
1322C2×C8—431no—
1323C2×C8—862no—
1324C2×C8—862no—
1325C2×C8C23×D4311yescharacteristic
1326C2×C8C23×D4311yescharacteristic
1327C2×C8C23×D4311yescharacteristic
1328C2×C8C23×D4311yescharacteristic
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—431no—
1343C4⋊C4—431no—
1344C4⋊C4—431no—
1345C4⋊C4—431no—
1346C4⋊C4—431no—
1347C4⋊C4—431no—
1348C4⋊C4—431no—
1349C4⋊C4—431no—
1350C4⋊C4—431no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4C23×D4311yescharacteristic
1395C4⋊C4C23×D4311yescharacteristic
1396C4⋊C4C23×D4311yescharacteristic
1397C4⋊C4C23×D4311yescharacteristic
1398C4⋊C4C23×D4311yescharacteristic
1399C4⋊C4C23×D4311yescharacteristic
1400C22⋊C4—21no—
1401C22⋊C4—21no—
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—431no—
1405C22⋊C4—431no—
1406C22⋊C4—431no—
1407C22⋊C4—431no—
1408C22⋊C4—431no—
1409C22⋊C4—431no—
1410C22⋊C4—431no—
1411C22⋊C4—431no—
1412C22⋊C4—861no—
1413C22⋊C4—861no—
1414C22⋊C4—861no—
1415C22⋊C4—861no—
1416C22⋊C4—861no—
1417C22⋊C4—861no—
1418C22⋊C4—861no—
1419C22⋊C4—861no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—431no—
1436C42—431no—
1437C42—431no—
1438C42—431no—
1439C42—861no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42—861no—
1444C42—861no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42—861no—
1450C42D4×D4311yescharacteristic
1451C42D4×D4311yescharacteristic
1452C42C23×D4311yescharacteristic
1453C42C23×D4311yescharacteristic
1454C23—431no—
1455C23—431no—
1456C23—862no—
1457C23—861no—
1458C23—1721no—
1459C23—1721no—
1460C23C2×D4×D4311yescharacteristic
1461Q8—21no—
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—81no—
1466Q8—81no—
1467Q8—81no—
1468Q8—861no—
1469Q8—861no—
1470Q8—3441no—
1471Q8—3441no—
1472Q8—3441no—
1473Q8—3441no—
1474Q8—3441no—
1475Q8—3441no—
1476Q8—3441no—
1477Q8—1722no—
1478D4—861no—
1479D4—861no—
1480D4—3441no—
1481D4—1722no—
1482D4—1722no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—431no—
1496C2×C4—432no—
1497C2×C4—432no—
1498C2×C4—431no—
1499C2×C4—431no—
1500C2×C4—431no—
1501C2×C4—431no—
1502C2×C4—431no—
1503C2×C4—862no—
1504C2×C4—862no—
1505C2×C4—862no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—3441no—
1516C2×C4—3441no—
1517C2×C4—3441no—
1518C2×C4—3441no—
1519C2×C4—3441no—
1520C2×C4—3441no—
1521C2×C4—3441no—
1522C2×C4—1722no—
1523C2×C4—1722no—
1524C2×C4—1721no—
1525C2×C4—1721no—
1526C2×C4C2×D4×D4311yescharacteristic
1527C2×C4C2×D4×D4311yescharacteristic
1528C2×C4C2×D4×D4311yescharacteristic
1529C2×C4C2×D4×D4311yescharacteristic
1530C2×C4C2×D4×D4311yescharacteristic
1531C2×C4C24×D4311yescharacteristic
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—861no—
1537C8—861no—
1538C8—861no—
1539C8—861no—
1540C22—21no—
1541C22—21no—
1542C22—21no—
1543C22—432no—
1544C22—861no—
1545C22—861no—
1546C22—861no—
1547C22—861no—
1548C22—861no—
1549C22—3442no—
1550C22—1721no—
1551C22—1721no—
1552C22—1721no—
1553C22C22×D4×D4311yescharacteristic
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—21no—
1558C4—21no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—432no—
1568C4—861no—
1569C4—861no—
1570C4—861no—
1571C4—861no—
1572C4—861no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C4—1721no—
1577C4—1721no—
1578C4—1721no—
1579C4—1721no—
1580C42−1+4×D4311yescharacteristic
1581C42−1+4×D4311yescharacteristic
1582C2—41no—
1583C2—862no—
1584C2—3441no—
1585C2—1721no—
1586C2#536×D4311yescharacteristic
1587C2#1914936411yescharacteristic
1588C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3231C2
socleC22×C43C23×D4
prime radical#14583412C22
hypercenter#3231D43
hypocenterC43#60876
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3231

Complements

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

NH ≅ G/Ntype
2. #19147998C2semidirect
3. #19145900C2semidirect
4. #19145896C2semidirect
5. #19145885C2semidirect
6. #19145881C2semidirect
7. #19145868C2semidirect
8. #19145860C2semidirect
9. #19145856C2semidirect
10. #19145856C2semidirect
11. #19145839C2semidirect
12. #19145835C2semidirect
13. #19145806C2semidirect
14. #19145805C2semidirect
15. #19145777C2semidirect
16. #19145776C2semidirect
17. #19145752C2semidirect
18. #19145128C2semidirect
19. #19145120C2semidirect
20. #19144955C2semidirect
21. #19144955C2semidirect
22. #19144542C2semidirect
25. #485×D43C2semidirect
26. #19144460C2semidirect
27. #19144449C2semidirect
28. #19144436C2semidirect
29. #19144434C2semidirect
30. #19143248C2semidirect
31. C43×#3231C2semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583305C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583305C22semidirect
83. #14583303C22semidirect
84. #14583301C22semidirect
85. #14583301C22semidirect
86. #14583300C22semidirect
87. #14583299C22semidirect
88. #14583296C22semidirect
89. #14583267C22semidirect
90. #14583267C22semidirect
91. #14583266C22semidirect
92. #14583266C22semidirect
93. #14583261C22semidirect
94. #14583261C22semidirect
95. #14583260C22semidirect
96. #14583260C22semidirect
97. #14583255C22semidirect
98. #14583255C22semidirect
99. #14583254C22semidirect
100. #14583254C22semidirect
101. #14583248C22semidirect
102. #14583248C22semidirect
131. #14583209C22semidirect
132. #14583208C22semidirect
133. #14583208C22semidirect
134. #14583205C22semidirect
135. #14583204C22semidirect
136. #14583204C22semidirect
137. #14583203C22semidirect
138. #14583203C22semidirect
139. #14583202C22semidirect
140. #14583198C22semidirect
141. #14583196C22semidirect
142. #14583196C22semidirect
143. #14583195C22semidirect
144. #14583194C22semidirect
145. #14583194C22semidirect
146. #14583193C22semidirect
147. #14583192C22semidirect
148. #14583192C22semidirect
149. #14583190C22semidirect
150. #14583188C22semidirect
151. #14583185C22semidirect
152. #14583184C22semidirect
153. #14583184C22semidirect
154. #14583183C22semidirect
155. #14583182C22semidirect
156. #14583182C22semidirect
157. #14583180C22semidirect
158. #14583178C22semidirect
190. C43×#500C22semidirect
191. C43×#498C22semidirect
192. C43×#487C22semidirect
193. C43×#487C22semidirect
198. C43×#479C22semidirect
199. C43×#479C22semidirect
200. C43×#479C22semidirect
201. C43×#479C22semidirect
805. #3231D43semidirect
880. #500C2×D43semidirect
886. #498C2×D43semidirect
901. #487C2×D43semidirect
902. #487C2×D43semidirect
943. #479C2×D43semidirect
944. #479C2×D43semidirect
945. #479C2×D43semidirect
946. #479C2×D43semidirect
997. C43#60876semidirect

Maximal subgroups

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

subgroupindex
#191483422
#191479982
#191459002
#191458962
#191458852
#191458812
#191458682
#191458602
#191458562
#191458392
#191458352
#191458062
#191458052
#191457772
#191457762
#191457522
#191451282
#191451202
#191449552
#191445422
#191445272
#191445132
#485×D432
#191444602
#191444492
#191444362
#191444342
#191432482
C43×#32312
#6087643