Finite Group Databasebeta

← #25969295

Subgroups — #25969295

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148418C211yesmaximal, characteristic, complemented
2#19148010C211yesmaximal, characteristic
3#19145893C211yesmaximal, characteristic, complemented
4#19145890C211yesmaximal, characteristic, complemented
5#19145880C211yesmaximal, characteristic, complemented
6#19145877C211yesmaximal, characteristic, complemented
7#19145855C211yesmaximal, characteristic, complemented
8#19145845C211yesmaximal, characteristic, complemented
9#19145842C211yesmaximal, characteristic, complemented
10#19145838C211yesmaximal, characteristic, complemented
11#19145833C211yesmaximal, characteristic, complemented
12#19145784C211yesmaximal, characteristic, complemented
13#19145780C211yesmaximal, characteristic, complemented
14#19145764C211yesmaximal, characteristic, complemented
15#19145760C211yesmaximal, characteristic, complemented
16#19145729C211yesmaximal, characteristic, complemented
17#19145726C211yesmaximal, characteristic, complemented
18#19145132C211yesmaximal, characteristic, complemented
19#19145122C211yesmaximal, characteristic, complemented
20#19144950C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144585C211yesmaximal, characteristic, complemented
23#19144570C211yesmaximal, characteristic, complemented
24#19144550C211yesmaximal, characteristic, complemented
25#19144546C211yesmaximal, characteristic, complemented
26#19144412C211yesmaximal, characteristic, complemented
27#19144393C211yesmaximal, characteristic, complemented
28#19144376C211yesmaximal, characteristic, complemented
29#478×D43C211yesmaximal, characteristic, complemented
30#19143258C211yesmaximal, characteristic, complemented
31C43×#3241C211yesmaximal, characteristic, complemented
32#14583626—21no—
33#14583624—21no—
34#14583610—21no—
35#14583607—21no—
36#14583607—21no—
37#14583605—21no—
38#14583603—21no—
39#14583603—21no—
40#14583529C2211yescharacteristic
41#14583529C2211yescharacteristic
42#14583529C2211yescharacteristic, complemented
43#14583527C2211yescharacteristic, complemented
44#14583526C2211yescharacteristic
45#14583526C2211yescharacteristic, complemented
46#14583520C2211yescharacteristic
47#14583517—21no—
48#14583514C2211yescharacteristic
49#14583500C2211yescharacteristic
50#14583499—21no—
51#14583485—21no—
52#14583481—21no—
53#14583478C2211yescharacteristic
54#14583465C2211yescharacteristic
55#14583462C2211yescharacteristic
56#14583454C2211yescharacteristic
57#14583454C2211yescharacteristic, complemented
58#14583452C2211yescharacteristic, complemented
59#14583447C2211yescharacteristic
60#14583444—21no—
61#14583444C2211yescharacteristic
62#14583434C2211yescharacteristic
63#14583430C2211yescharacteristic
64#14583426—21no—
65C2×#13063316C2211yescharacteristic, complemented
66#125×D43C2211yescharacteristic
67#125×D43C2211yescharacteristic, complemented
68#14583409—21no—
69#14583407—21no—
70#14583380C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583367C2211yescharacteristic
73C4×#10621900C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583309C2211yescharacteristic, complemented
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583304C2211yescharacteristic, complemented
83#14583303C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583300C2211yescharacteristic, complemented
86#14583298C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583295C2211yescharacteristic, complemented
89#14583263C2211yescharacteristic
90#14583262C2211yescharacteristic
91#14583262C2211yescharacteristic
92#14583261C2211yescharacteristic
93#14583259C2211yescharacteristic
94#14583257C2211yescharacteristic
95#14583257C2211yescharacteristic
96#14583256C2211yescharacteristic
97#14583254C2211yescharacteristic
98#14583252C2211yescharacteristic
99#14583252C2211yescharacteristic
100#14583245C2211yescharacteristic
101#14583244C2211yescharacteristic
102#14583244C2211yescharacteristic
103#14583243C2211yescharacteristic, complemented
104#14583243C2211yescharacteristic, complemented
105#14583241C2211yescharacteristic, complemented
106#14583240C2211yescharacteristic, complemented
107#14583236C2211yescharacteristic, complemented
108#14583235C2211yescharacteristic, complemented
109#14583231C2211yescharacteristic, complemented
110#14583229C2211yescharacteristic, complemented
111#14583226C2211yescharacteristic
112#14583226C2211yescharacteristic
113#14583224C2211yescharacteristic
114#14583223C2211yescharacteristic
115#14583221C2211yescharacteristic
116#14583221C2211yescharacteristic
117#14583221C2211yescharacteristic, complemented
118#14583221C2211yescharacteristic, complemented
119#14583220C2211yescharacteristic
120#14583220C2211yescharacteristic, complemented
121#14583219C2211yescharacteristic
122#14583217C2211yescharacteristic
123#14583216C2211yescharacteristic
124#14583216C2211yescharacteristic, complemented
125#14583215C2211yescharacteristic
126#14583214C2211yescharacteristic
127#14583213C2211yescharacteristic
128#14583211C2211yescharacteristic
129#14583211C2211yescharacteristic, complemented
130#14583210C2211yescharacteristic, complemented
131#14583209C2211yescharacteristic, complemented
132#14583207C2211yescharacteristic, complemented
133#14583205C2211yescharacteristic, complemented
134#14583205C2211yescharacteristic, complemented
135#14583205C2211yescharacteristic, complemented
136#14583203C2211yescharacteristic, complemented
137#14583202C2211yescharacteristic
138#14583201C2211yescharacteristic
139#14583201C2211yescharacteristic, complemented
140#14583200C2211yescharacteristic
141#14583199C2211yescharacteristic
142#14583199C2211yescharacteristic, complemented
143#14583198C2211yescharacteristic
144#14583198C2211yescharacteristic
145#14583198C2211yescharacteristic
146#14583197C2211yescharacteristic
147#14583197C2211yescharacteristic
148#14583197C2211yescharacteristic
149#14583197C2211yescharacteristic, complemented
150#14583197C2211yescharacteristic, complemented
151#14583197C2211yescharacteristic, complemented
152#14583196C2211yescharacteristic
153#14583195C2211yescharacteristic, complemented
154#14583189C2211yescharacteristic, complemented
155#14583186C2211yescharacteristic
156#14583181C2211yescharacteristic, complemented
157#14583180C2211yescharacteristic
158#14583179C2211yescharacteristic
159#14582960C2211yescharacteristic, complemented
160#14582959C2211yescharacteristic, complemented
161#14582959C2211yescharacteristic, complemented
162#14582954C2211yescharacteristic, complemented
163#14582953C2211yescharacteristic, complemented
164#14582950C2211yescharacteristic, complemented
165#14582949C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582921C2211yescharacteristic
175C4⋊C8×D43C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582856C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic
193C43×#486C2211yescharacteristic
194C43×#482C2211yescharacteristic
195C43×#482C2211yescharacteristic, complemented
196C43×#481C2211yescharacteristic, complemented
197C43×#480C2211yescharacteristic
198C43×#478C2211yescharacteristic
199C43×#478C2211yescharacteristic, complemented
200C43×#476C2211yescharacteristic
201C43×#474C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×C8×D43C2311yescharacteristic
212C2×C8×D43C2311yescharacteristic
213#13063325C2311yescharacteristic
214#13063325C2311yescharacteristic
215#13063325C2311yescharacteristic
216#13063324—21no—
217#13063324—21no—
218#13063324—21no—
219#13063324—21no—
220#13063324C2311yescharacteristic
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063323—21no—
224#13063323—21no—
225#13063321—21no—
226#13063321C2311yescharacteristic
227#13063320—21no—
228#13063320—21no—
229#13063318—21no—
230#13063318—21no—
231#13063317C2311yescharacteristic
232#13063317C2311yescharacteristic
233#13063316—21no—
234#13063316—21no—
235#13063316—21no—
236#13063316C2311yescharacteristic
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063315—21no—
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#13063313C2311yescharacteristic
253#13063312—21no—
254#13063312C2311yescharacteristic
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063310—21no—
260#13063308—21no—
261#13063308—21no—
262#13063307—21no—
263#13063307—21no—
264#13063306—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305—21no—
269#13063305—21no—
270#13063305C2311yescharacteristic
271#13063304—21no—
272#13063304C2311yescharacteristic
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063302—21no—
280#13063302—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063301—21no—
285#13063301—21no—
286#13063301—21no—
287#13063301—21no—
288#13063300C2311yescharacteristic
289#13063299—21no—
290#13063299C2311yescharacteristic
291#13063298—21no—
292#13063298—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063296—21no—
298#13063296—21no—
299#13063296C2311yescharacteristic
300#13063296C2311yescharacteristic
301#13063295—21no—
302#13063293—21no—
303#13063293—21no—
304#13063293—21no—
305Q8×Dic43—21no—
306Q8×Dic43—21no—
307C4×Dic86—21no—
308C4×Dic86—21no—
309C4×Dic86—21no—
310C4×Dic86C2311yescharacteristic
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290D411yescharacteristic
315#13063290D411yescharacteristic
316#13063290C2311yescharacteristic
317C4×D172—21no—
318C4×D172C2311yescharacteristic
319D4×Dic43—21no—
320D4×Dic43—21no—
321D4×Dic43C2311yescharacteristic
322D4×Dic43C2311yescharacteristic
323#13063287—21no—
324#13063287—21no—
325#13063287D411yescharacteristic
326#13063287D411yescharacteristic
327#13063287C2311yescharacteristic
328C4×C22⋊D43—21no—
329C4×C22⋊D43—21no—
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332(C22⋊D43)⋊C4—21no—
333(C22⋊D43)⋊C4—21no—
334(C22⋊D43)⋊C4—21no—
335(C22⋊D43)⋊C4—21no—
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4D411yescharacteristic
338(C22⋊D43)⋊C4D411yescharacteristic
339(C22⋊D43)⋊C4D411yescharacteristic
340(C22⋊D43)⋊C4D411yescharacteristic
341#13063284C2311yescharacteristic
342#13063283—21no—
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063282C2311yescharacteristic
349#13063282C2311yescharacteristic
350#13063281—21no—
351#13063281—21no—
352C2×C4⋊Dic43—21no—
353C2×C4⋊Dic43C2311yescharacteristic
354C2×Dic43⋊C4—21no—
355C4⋊C4×D43—21no—
356C4⋊C4×D43—21no—
357C4⋊C4×D43—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43C2311yescharacteristic
360C4⋊C4×D43C2311yescharacteristic
361C4⋊C4×D43C2311yescharacteristic
362C4⋊C4×D43C2311yescharacteristic
363C4⋊C4×D43C2311yescharacteristic
364C22⋊C4×D43—21no—
365C2×C4×Dic43—21no—
366C2×C4×Dic43C2311yescharacteristic
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
369#13063259C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063256C2311yescharacteristic
384#13063256C2311yescharacteristic
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#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43—21no—
436C4⋊Q8×C43C2311yescharacteristic
437C4⋊Q8×C43C2311yescharacteristic
438#127×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43C2311yescharacteristic
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#123×C43—21no—
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×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#102×C43C2311yescharacteristic
467#102×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×D4×C43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43C2×D411yescharacteristic
505C22×Dic43C2×D411yescharacteristic
506#10621900—22no—
507#10621900—22no—
508#10621900—82no—
509#10621900—82no—
510D4×D43—22no—
511D4×D43—22no—
512#10621898—22no—
513#10621898—22no—
514C2×D172—21no—
515C2×D172C2×D411yescharacteristic
516C2×D172C2411yescharacteristic
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—82no—
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86C2×D411yescharacteristic
538C2×Dic86C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43C2×D411yescharacteristic
566C22⋊C4×C43C2×D411yescharacteristic
567C42×C43—21no—
568C42×C43C2411yescharacteristic
569C42×C43C2411yescharacteristic
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
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×Dic43C2×D411yescharacteristic
647C4×Dic43C2×D411yescharacteristic
648C4×Dic43C2×D411yescharacteristic
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2×D411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621872—22no—
659#10621872—22no—
660C8×D43—22no—
661C8×D43—22no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D411yescharacteristic
665C22×D43—21no—
666C22×D43—42no—
667C22×D43—81no—
668C22×D43—81no—
669C22×D43C22×D411yescharacteristic
670C22×D43C22×D411yescharacteristic
671Q8×C43—81no—
672Q8×C43—81no—
673D4×C43—21no—
674D4×C43—21no—
675D4×C43—21no—
676D4×C43—21no—
677D4×C43—81no—
678D4×C43—81no—
679D4×C43—81no—
680D4×C43—81no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—81no—
690C2×C4×C43—81no—
691C2×C4×C43—81no—
692C2×C4×C43C22×D411yescharacteristic
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C2511yescharacteristic
698C22⋊D43—22no—
699C22⋊D43—22no—
700C22⋊D43—42no—
701C22⋊D43—42no—
702C22⋊D43—81no—
703C22⋊D43—81no—
704C22⋊D43—81no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—41no—
715C2×Dic43—41no—
716C2×Dic43—42no—
717C2×Dic43—42no—
718C2×Dic43—42no—
719C2×Dic43—81no—
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726D172—22no—
727D172—21no—
728D172—21no—
729D172—81no—
730C4×D43—21no—
731C4×D43—21no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—42no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D432−1+412yes—
744C4×D432−1+412yes—
745Dic86—22no—
746Dic86—21no—
747Dic86—21no—
748Dic86—81no—
749Dic86—81no—
750Dic86—81no—
751Dic86—81no—
752Dic86—81no—
753Dic86—81no—
754C8×C43—21no—
755C8×C43—21no—
756C8×C43—21no—
757C8×C43—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762#60890—431nomaximal, Sylow
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43C23×D411yescharacteristic
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—84no—
782C2×D43#53612yes—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43C2×2−1+411yescharacteristic
795C4×C43C2×2−1+411yescharacteristic
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43#53612yes—
809#3504—431no—
810#3460—431no—
811#3244—431no—
812#3244—431no—
813#3243—431no—
814#3243—431no—
815#3241—431no—
816#3241—431no—
817#3241—431no—
818#3241D4311yescharacteristic, complemented
819#3240—431no—
820#3240—431no—
821#3234—431no—
822#3234—431no—
823#3232—431no—
824#3232—431no—
825#3228—431no—
826#3228—431no—
827#3164—431no—
828#3163—431no—
829#3136—431no—
830#3136—431no—
831#3099—431no—
832#3098—431no—
833#3096—431no—
834#3096—431no—
835#3080—431no—
836#3077—431no—
837#3076—431no—
838C2×#478—431no—
839#2925—431no—
840C2×C43—41no—
841C2×C43—81no—
842C2×C43—81no—
843C2×C43C2×#53611yescharacteristic
844C2×C43#358411yescharacteristic
845C2×C43#358511yescharacteristic
846D43—22no—
847D43—41no—
848D43—81no—
849#557—861no—
850#557—861no—
851#554—861no—
852#554—861no—
853#554—861no—
854#554—861no—
855#554—861no—
856#554—861no—
857#544—431no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544—431no—
862#544—431no—
863#544C2×D4311yescharacteristic, complemented
864#542—431no—
865#542—431no—
866#542—861no—
867#540—431no—
868#540—861no—
869#540C2×D4311yescharacteristic
870#538—861no—
871#538—861no—
872#537—431no—
873#535—431no—
874#535—431no—
875#533—431no—
876#533—431no—
877#533—431no—
878#532—431no—
879#532—431no—
880#532—861no—
881#529—431no—
882#529—431no—
883#529—861no—
884C2×#125—431no—
885C2×#125—431no—
886C2×#125—431no—
887#525—861no—
888#525—861no—
889#520—431no—
890#520—431no—
891C4×#41—431no—
892C4×#41—431no—
893C2×C4×D4—431no—
894#501—431no—
895#501—431no—
896#501—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501—431no—
901#501C2×D4311yescharacteristic, complemented
902#500—431no—
903#500—431no—
904#499—431no—
905#499—431no—
906#499—431no—
907#499C2×D4311yescharacteristic, complemented
908#498—431no—
909#498—431no—
910#490—431no—
911#490—431no—
912#490—431no—
913#490C2×D4311yescharacteristic
914#489—431no—
915#489—431no—
916#489—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#488—431no—
922#486—431no—
923#486—431no—
924#486—431no—
925#486C2×D4311yescharacteristic
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#484—431no—
931#484—431no—
932#483—431no—
933#483—431no—
934#482—431no—
935#482—431no—
936#482—431no—
937#482—431no—
938#482—431no—
939#482—431no—
940#482—431no—
941#482—431no—
942#482—431no—
943#482—431no—
944#482C2×D4311yescharacteristic
945#482C2×D4311yescharacteristic, complemented
946#481—431no—
947#481—431no—
948#481—431no—
949#481—431no—
950#481—431no—
951#481C2×D4311yescharacteristic, complemented
952#480—431no—
953#480—431no—
954#480—431no—
955#480—431no—
956#480—431no—
957#480C2×D4311yescharacteristic
958#479—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#479—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#478—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#478—431no—
978#478—431no—
979#478—431no—
980#478C2×D4311yescharacteristic
981#478C2×D4311yescharacteristic, complemented
982#477—431no—
983#476—431no—
984#476—431no—
985#476C2×D4311yescharacteristic
986#475—431no—
987#474—431no—
988#474—431no—
989#474C2×D4311yescharacteristic, complemented
990#433—431no—
991#433—431no—
992#433—431no—
993#433C2×D4311yescharacteristic, complemented
994#432—431no—
995#432—431no—
996#431—431no—
997#431—431no—
998#428—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#427—431no—
1003#427—431no—
1004C2×#107—431no—
1005C2×#106—431no—
1006#423—431no—
1007C2×C4⋊C8—431no—
1008#418—431no—
1009#418—431no—
1010#417—431no—
1011#417—431no—
1012#416—431no—
1013#416—431no—
1014C2×#102—431no—
1015C2×#102—431no—
1016#408—431no—
1017#408—431no—
1018#405—431no—
1019#405—431no—
1020C43#6089011yescharacteristic, complemented, Sylow
1021C2×#41—431no—
1022C2×#41—431no—
1023C2×#41—861no—
1024C2×#41—861no—
1025C22×D4—431no—
1026C23×C4—861no—
1027C2×M16—431no—
1028C2×M16—431no—
1029C22×C8—431no—
1030C22×C8—431no—
1031C4⋊Q8—21no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8C22×D4311yescharacteristic
1045C4⋊Q8C22×D4311yescharacteristic
1046#127—431no—
1047#127—861no—
1048#127C22×D4311yescharacteristic
1049#126—861no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#125—21no—
1054#125—431no—
1055#125—431no—
1056#125—431no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
1063#125—861no—
1064#125—861no—
1065#125—861no—
1066#125—861no—
1067#125—861no—
1068#125—861no—
1069#125—861no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125C22×D4311yescharacteristic
1076#125C22×D4311yescharacteristic
1077#125C22×D4311yescharacteristic
1078#124—431no—
1079#124—431no—
1080#124—861no—
1081#124—861no—
1082#124—861no—
1083#124—861no—
1084#124—861no—
1085#123—21no—
1086#123—21no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091#123—861no—
1092#123—861no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—431no—
1096C22⋊Q8—431no—
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⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118#121—21no—
1119#121—21no—
1120#121—431no—
1121#121—431no—
1122#121—431no—
1123#121—431no—
1124#121—861no—
1125#121—861no—
1126#121—861no—
1127#121—861no—
1128#121—861no—
1129#121—861no—
1130#121—861no—
1131#121—861no—
1132#121—861no—
1133#121C22×D4311yescharacteristic
1134#121C22×D4311yescharacteristic
1135#120—861no—
1136#120—861no—
1137#120—861no—
1138#120—861no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8—861no—
1150C4×Q8—861no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4—861no—
1166C4×D4—861no—
1167C4×D4—861no—
1168C4×D4—861no—
1169C4×D4—861no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4C22×D4311yescharacteristic
1176C4×D4C22×D4311yescharacteristic
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—431no—
1183#117—431no—
1184#117—431no—
1185#117—861no—
1186#117—861no—
1187#117—861no—
1188#117C22×D4311yescharacteristic
1189#117C22×D4311yescharacteristic
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—861no—
1197C2×C4⋊C4—861no—
1198C2×C4⋊C4—861no—
1199C2×C4⋊C4—861no—
1200C2×C4⋊C4—861no—
1201C2×C4⋊C4—861no—
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4—861no—
1204C2×C42—431no—
1205C2×C42—431no—
1206C2×C42—431no—
1207C2×C42—861no—
1208#107—431no—
1209#107—431no—
1210#107—431no—
1211#107—431no—
1212#107—431no—
1213#107—431no—
1214#107—431no—
1215#107—431no—
1216#107—431no—
1217#107—431no—
1218#107—431no—
1219#107—431no—
1220#107C22×D4311yescharacteristic
1221#107C22×D4311yescharacteristic
1222#107C22×D4311yescharacteristic
1223#107C22×D4311yescharacteristic
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106—431no—
1234#106—431no—
1235#106—431no—
1236#106C22×D4311yescharacteristic
1237#106C22×D4311yescharacteristic
1238#106C22×D4311yescharacteristic
1239#106C22×D4311yescharacteristic
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8C22×D4311yescharacteristic
1247C4⋊C8C22×D4311yescharacteristic
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#102—431no—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102—431no—
1262#102—431no—
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102C22×D4311yescharacteristic
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278#102C22×D4311yescharacteristic
1279#102C22×D4311yescharacteristic
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282C22⋊C8—431no—
1283C22⋊C8—431no—
1284C22⋊C8—431no—
1285C22⋊C8—431no—
1286C22⋊C8C22×D4311yescharacteristic
1287C22⋊C8C22×D4311yescharacteristic
1288#97—431no—
1289#97—431no—
1290#97—431no—
1291#97C22×D4311yescharacteristic
1292C4×C8—431no—
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8C22×D4311yescharacteristic
1296C24—861no—
1297#41—862no—
1298#41—862no—
1299#41—862no—
1300#41—862no—
1301#41—3442no—
1302#41—3442no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—431no—
1306C2×Q8—431no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—431no—
1318C2×D4—431no—
1319C2×D4—431no—
1320C2×D4—431no—
1321C2×D4—861no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—861no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—861no—
1331C2×D4C23×D4311yescharacteristic
1332C2×D4C23×D4311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—3442no—
1356C22×C4C23×D4311yescharacteristic
1357M16—862no—
1358M16—862no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—862no—
1364C2×C8—862no—
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4D4×D4311yescharacteristic
1423C4⋊C4D4×D4311yescharacteristic
1424C4⋊C4C23×D4311yescharacteristic
1425C4⋊C4C23×D4311yescharacteristic
1426C4⋊C4C23×D4311yescharacteristic
1427C4⋊C4C23×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4D4×D4311yescharacteristic
1460C22⋊C4D4×D4311yescharacteristic
1461C42—21no—
1462C42—431no—
1463C42—431no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—431no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42—861no—
1477C42—861no—
1478C42C23×D4311yescharacteristic
1479C42C23×D4311yescharacteristic
1480C23—21no—
1481C23—21no—
1482C23—431no—
1483C23—431no—
1484C23—861no—
1485C23—3441no—
1486C23—3441no—
1487C23—1722no—
1488C23C2×D4×D4311yescharacteristic
1489Q8—81no—
1490Q8—81no—
1491Q8—862no—
1492Q8—861no—
1493Q8—861no—
1494Q8—3441no—
1495Q8—3441no—
1496Q8—3441no—
1497Q8—3441no—
1498Q8—3441no—
1499Q8—3441no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—81no—
1506D4—81no—
1507D4—81no—
1508D4—862no—
1509D4—862no—
1510D4—862no—
1511D4—861no—
1512D4—861no—
1513D4—3441no—
1514D4—3441no—
1515D4—3441no—
1516D4—3441no—
1517D4—3441no—
1518D4—3441no—
1519D4—1722no—
1520D4—1722no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—81no—
1530C2×C4—81no—
1531C2×C4—81no—
1532C2×C4—431no—
1533C2×C4—432no—
1534C2×C4—432no—
1535C2×C4—431no—
1536C2×C4—431no—
1537C2×C4—431no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—3441no—
1550C2×C4—3441no—
1551C2×C4—3441no—
1552C2×C4—3441no—
1553C2×C4—3441no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—1721no—
1557C2×C4—1721no—
1558C2×C4—1721no—
1559C2×C4—1721no—
1560C2×C4—1722no—
1561C2×C4—1722no—
1562C2×C4—1721no—
1563C2×C4—1721no—
1564C2×C4—1722no—
1565C2×C4—1722no—
1566C2×C4C2×D4×D4311yescharacteristic
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C24×D4311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—861no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—432no—
1590C22—861no—
1591C22—861no—
1592C22—861no—
1593C22—861no—
1594C22—861no—
1595C22—3444no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22C22×D4×D4311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—432no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C42−1+4×D4311yescharacteristic
1625C42−1+4×D4311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—81no—
1629C2—862no—
1630C2—3441no—
1631C2—1721no—
1632C2#536×D4311yescharacteristic
1633C2#1914936311yescharacteristic
1634C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#19148010C2
hypercenter#3241D43
hypocenterC43#60890
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #19148418C2semidirect
3. #19145893C2semidirect
4. #19145890C2semidirect
5. #19145880C2semidirect
6. #19145877C2semidirect
7. #19145855C2semidirect
8. #19145845C2semidirect
9. #19145842C2semidirect
10. #19145838C2semidirect
11. #19145833C2semidirect
12. #19145784C2semidirect
13. #19145780C2semidirect
14. #19145764C2semidirect
15. #19145760C2semidirect
16. #19145729C2semidirect
17. #19145726C2semidirect
18. #19145132C2semidirect
19. #19145122C2semidirect
20. #19144950C2semidirect
21. #19144944C2semidirect
22. #19144585C2semidirect
23. #19144570C2semidirect
24. #19144550C2semidirect
25. #19144546C2semidirect
26. #19144412C2semidirect
27. #19144393C2semidirect
28. #19144376C2semidirect
29. #478×D43C2semidirect
30. #19143258C2semidirect
31. C43×#3241C2semidirect
42. #14583529C22semidirect
43. #14583527C22semidirect
45. #14583526C22semidirect
57. #14583454C22semidirect
58. #14583452C22semidirect
65. C2×#13063316C22semidirect
67. #125×D43C22semidirect
75. #14583309C22semidirect
76. #14583309C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583304C22semidirect
83. #14583303C22semidirect
84. #14583300C22semidirect
85. #14583300C22semidirect
86. #14583298C22semidirect
87. #14583296C22semidirect
88. #14583295C22semidirect
103. #14583243C22semidirect
104. #14583243C22semidirect
105. #14583241C22semidirect
106. #14583240C22semidirect
107. #14583236C22semidirect
108. #14583235C22semidirect
109. #14583231C22semidirect
110. #14583229C22semidirect
117. #14583221C22semidirect
118. #14583221C22semidirect
120. #14583220C22semidirect
124. #14583216C22semidirect
129. #14583211C22semidirect
130. #14583210C22semidirect
131. #14583209C22semidirect
132. #14583207C22semidirect
133. #14583205C22semidirect
134. #14583205C22semidirect
135. #14583205C22semidirect
136. #14583203C22semidirect
139. #14583201C22semidirect
142. #14583199C22semidirect
149. #14583197C22semidirect
150. #14583197C22semidirect
151. #14583197C22semidirect
153. #14583195C22semidirect
154. #14583189C22semidirect
156. #14583181C22semidirect
159. #14582960C22semidirect
160. #14582959C22semidirect
161. #14582959C22semidirect
162. #14582954C22semidirect
163. #14582953C22semidirect
164. #14582950C22semidirect
165. #14582949C22semidirect
188. C43×#544C22semidirect
190. C43×#501C22semidirect
191. C43×#499C22semidirect
195. C43×#482C22semidirect
196. C43×#481C22semidirect
199. C43×#478C22semidirect
201. C43×#474C22semidirect
202. C43×#433C22semidirect
818. #3241D43semidirect
863. #544C2×D43semidirect
901. #501C2×D43semidirect
907. #499C2×D43semidirect
945. #482C2×D43semidirect
951. #481C2×D43semidirect
981. #478C2×D43semidirect
989. #474C2×D43semidirect
993. #433C2×D43semidirect
1020. C43#60890semidirect

Maximal subgroups

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

subgroupindex
#191484182
#191480102
#191458932
#191458902
#191458802
#191458772
#191458552
#191458452
#191458422
#191458382
#191458332
#191457842
#191457802
#191457642
#191457602
#191457292
#191457262
#191451322
#191451222
#191449502
#191449442
#191445852
#191445702
#191445502
#191445462
#191444122
#191443932
#191443762
#478×D432
#191432582
C43×#32412
#6089043