Finite Group Databasebeta

← #25969054

Subgroups — #25969054

Order 11008.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148318C211yesmaximal, characteristic
2#19147998C211yesmaximal, characteristic, complemented
3#19145898C211yesmaximal, characteristic, complemented
4#19145886C211yesmaximal, characteristic, complemented
5#19145883C211yesmaximal, characteristic, complemented
6#19145871C211yesmaximal, characteristic, complemented
7#19145855C211yesmaximal, characteristic, complemented
8#19145851C211yesmaximal, characteristic, complemented
9#19145851C211yesmaximal, characteristic, complemented
10#19145847C211yesmaximal, characteristic, complemented
11#19145839C211yesmaximal, characteristic, complemented
12#19145831C211yesmaximal, characteristic, complemented
13#19145793C211yesmaximal, characteristic, complemented
14#19145790C211yesmaximal, characteristic, complemented
15#19145777C211yesmaximal, characteristic, complemented
16#19145733C211yesmaximal, characteristic, complemented
17#19145729C211yesmaximal, characteristic, complemented
18#19145132C211yesmaximal, characteristic, complemented
19#19145124C211yesmaximal, characteristic, complemented
20#19144948C211yesmaximal, characteristic, complemented
21#19144948C211yesmaximal, characteristic, complemented
22#19144534C211yesmaximal, characteristic, complemented
23#19144527C211yesmaximal, characteristic, complemented
24#19144513C211yesmaximal, characteristic, complemented
25#482×D43C211yesmaximal, characteristic, complemented
26#19144454C211yesmaximal, characteristic, complemented
27#19144443C211yesmaximal, characteristic, complemented
28#19144421C211yesmaximal, characteristic, complemented
29#19144419C211yesmaximal, characteristic, complemented
30#19143248C211yesmaximal, characteristic, complemented
31C43×#3233C211yesmaximal, characteristic, complemented
32#14583612—21no—
33#14583600—21no—
34#14583598—21no—
35#14583574—21no—
36#14583573—21no—
37#14583547—21no—
38#14583544—21no—
39#14583541—21no—
40#14583529C2211yescharacteristic
41#14583529C2211yescharacteristic
42#14583529C2211yescharacteristic
43#14583529C2211yescharacteristic, complemented
44#14583529C2211yescharacteristic, complemented
45#14583528—21no—
46#14583528—21no—
47#14583526C2211yescharacteristic
48#14583526C2211yescharacteristic
49#14583526C2211yescharacteristic, complemented
50#14583526C2211yescharacteristic, complemented
51#14583524—21no—
52#14583524—21no—
53#14583521C2211yescharacteristic
54#14583518C2211yescharacteristic
55#14583505C2211yescharacteristic
56#14583500C2211yescharacteristic
57#14583467C2211yescharacteristic
58#14583456C2211yescharacteristic, complemented
59#14583453—21no—
60#14583453—21no—
61#14583453—21no—
62#14583453—21no—
63#14583452C2211yescharacteristic, complemented
64#14583452C2211yescharacteristic, complemented
65#14583449C2211yescharacteristic
66#14583444C2211yescharacteristic
67#14583435C2211yescharacteristic
68#14583412C2211yescharacteristic
69#121×D43C2211yescharacteristic
70#14583381C2211yescharacteristic
71#14583371C2211yescharacteristic
72C2×#13063282C2211yescharacteristic
73#117×D43C2211yescharacteristic
74#117×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583309C2211yescharacteristic, complemented
77#14583309C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583306C2211yescharacteristic, complemented
83#14583304C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583300C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583297C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583265C2211yescharacteristic, complemented
90#14583265C2211yescharacteristic, complemented
91#14583262C2211yescharacteristic, complemented
92#14583262C2211yescharacteristic, complemented
93#14583260C2211yescharacteristic, complemented
94#14583260C2211yescharacteristic, complemented
95#14583258C2211yescharacteristic, complemented
96#14583258C2211yescharacteristic, complemented
97#14583255C2211yescharacteristic, complemented
98#14583255C2211yescharacteristic, complemented
99#14583246C2211yescharacteristic, complemented
100#14583246C2211yescharacteristic, complemented
101#14583244C2211yescharacteristic, complemented
102#14583244C2211yescharacteristic, complemented
103#14583239C2211yescharacteristic, complemented
104#14583238C2211yescharacteristic, complemented
105#14583237C2211yescharacteristic, complemented
106#14583237C2211yescharacteristic, complemented
107#14583233C2211yescharacteristic, complemented
108#14583228C2211yescharacteristic, complemented
109#14583226C2211yescharacteristic
110#14583226C2211yescharacteristic, complemented
111#14583225C2211yescharacteristic
112#14583225C2211yescharacteristic, complemented
113#14583224C2211yescharacteristic
114#14583224C2211yescharacteristic
115#14583224C2211yescharacteristic, complemented
116#14583224C2211yescharacteristic, complemented
117#14583223C2211yescharacteristic
118#14583223C2211yescharacteristic
119#14583223C2211yescharacteristic, complemented
120#14583223C2211yescharacteristic, complemented
121#14583222C2211yescharacteristic
122#14583221C2211yescharacteristic
123#14583220C2211yescharacteristic
124#14583220C2211yescharacteristic
125#14583219C2211yescharacteristic
126#14583219C2211yescharacteristic, complemented
127#14583216C2211yescharacteristic
128#14583214C2211yescharacteristic
129#14583214C2211yescharacteristic, complemented
130#14583211C2211yescharacteristic
131#14583208C2211yescharacteristic, complemented
132#14583206C2211yescharacteristic, complemented
133#14583206C2211yescharacteristic, complemented
134#14583204C2211yescharacteristic, complemented
135#14583202C2211yescharacteristic, complemented
136#14583202C2211yescharacteristic, complemented
137#14583201C2211yescharacteristic, complemented
138#14583200C2211yescharacteristic, complemented
139#14583200C2211yescharacteristic, complemented
140#14583200C2211yescharacteristic, complemented
141#14583200C2211yescharacteristic, complemented
142#14583199C2211yescharacteristic, complemented
143#14583199C2211yescharacteristic, complemented
144#14583198C2211yescharacteristic, complemented
145#14583198C2211yescharacteristic, complemented
146#14583197C2211yescharacteristic, complemented
147#14583192C2211yescharacteristic, complemented
148#14583188C2211yescharacteristic, complemented
149#14583188C2211yescharacteristic, complemented
150#14583187C2211yescharacteristic, complemented
151#14583186C2211yescharacteristic, complemented
152#14583186C2211yescharacteristic, complemented
153#14583182C2211yescharacteristic, complemented
154#14583178C2211yescharacteristic, complemented
155#14583178C2211yescharacteristic, complemented
156#14583177C2211yescharacteristic, complemented
157#14583176C2211yescharacteristic, complemented
158#14583176C2211yescharacteristic, complemented
159#14582959C2211yescharacteristic, complemented
160#14582959C2211yescharacteristic, complemented
161#14582958C2211yescharacteristic, complemented
162#14582958C2211yescharacteristic, complemented
163#14582956C2211yescharacteristic, complemented
164#14582953C2211yescharacteristic, complemented
165#14582949C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582934C2211yescharacteristic
172#107×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582902C2211yescharacteristic
177#14582902C2211yescharacteristic
178#14582899C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582894C2211yescharacteristic
181#14582894C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582861C2211yescharacteristic
185C22⋊C8×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic, complemented
195C43×#485C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#482C2211yescharacteristic
198C43×#477C2211yescharacteristic, complemented
199C43×#476C2211yescharacteristic, complemented
200C43×#475C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#431C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
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#13063324—21no—
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063323—21no—
227#13063323—21no—
228#13063323—21no—
229#13063323—21no—
230#13063322C2311yescharacteristic
231#13063321C2311yescharacteristic
232#13063320—21no—
233#13063319—21no—
234#13063318—21no—
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063316C2311yescharacteristic
238#13063316C2311yescharacteristic
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063315—21no—
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#13063314C2311yescharacteristic
252#13063313—21no—
253#13063313—21no—
254#13063311—21no—
255#13063311—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063309—21no—
261#13063309—21no—
262#13063308—21no—
263#13063307—21no—
264#13063305—21no—
265#13063305—21no—
266#13063305—21no—
267#13063305—21no—
268#13063305—21no—
269#13063304—21no—
270#13063304—21no—
271#13063303—21no—
272#13063303—21no—
273#13063303—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063301—21no—
287#13063301—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301C2311yescharacteristic
291#13063300—21no—
292#13063300—21no—
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063299—21no—
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063297—21no—
304#13063297—21no—
305#13063296C2311yescharacteristic
306#13063295—21no—
307#13063295—21no—
308#13063295—21no—
309Q8×Dic43C2311yescharacteristic
310C4×Dic86—21no—
311C4×Dic86—21no—
312C4×Dic86—21no—
313C4×Dic86—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×D172—21no—
317C4×D172—21no—
318C4×D172C2311yescharacteristic
319C4×D172C2311yescharacteristic
320D4×Dic43C2311yescharacteristic
321#13063287—21no—
322#13063287—21no—
323#13063287C2311yescharacteristic
324#13063287C2311yescharacteristic
325C4×C22⋊D43—21no—
326(C22⋊D43)⋊C4—21no—
327(C22⋊D43)⋊C4—21no—
328(C22⋊D43)⋊C4—21no—
329(C22⋊D43)⋊C4—21no—
330#13063284C2311yescharacteristic
331#13063284C2311yescharacteristic
332#13063283—21no—
333#13063283C2311yescharacteristic
334#13063283C2311yescharacteristic
335#13063283C2311yescharacteristic
336#13063283C2311yescharacteristic
337#13063283C2311yescharacteristic
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—
351C2×Dic43⋊C4D411yescharacteristic
352C2×Dic43⋊C4D411yescharacteristic
353C4⋊C4×D43—21no—
354C4⋊C4×D43C2311yescharacteristic
355C4⋊C4×D43C2311yescharacteristic
356C4⋊C4×D43C2311yescharacteristic
357C4⋊C4×D43C2311yescharacteristic
358C4⋊C4×D43C2311yescharacteristic
359C2×(C2×D43)⋊C4—21no—
360C2×(C2×D43)⋊C4D411yescharacteristic
361C2×(C2×D43)⋊C4D411yescharacteristic
362C22⋊C4×D43—21no—
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#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
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
437#126×C43—21no—
438#125×C43C2311yescharacteristic
439#125×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#124×C43C2311yescharacteristic
442#123×C43—21no—
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43C2311yescharacteristic
446#121×C43C2311yescharacteristic
447C4×Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43—21no—
451C4×D4×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#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43C2×D411yescharacteristic
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43C2×D411yescharacteristic
487C22×C4×C43C2×D411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C22×Dic43—21no—
496C22×Dic43C2×D411yescharacteristic
497C22×Dic43C2×D411yescharacteristic
498C22×Dic43C2×D411yescharacteristic
499#10621902—22no—
500#10621902—22no—
501#10621900—82no—
502D4×D43—22no—
503D4×D43—22no—
504D4×D43—82no—
505#10621898—82no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172C2411yescharacteristic
512C2×D172C2411yescharacteristic
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×C4×D43C2411yescharacteristic
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
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×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43C2×D411yescharacteristic
568C42×C43C2×D411yescharacteristic
569C42×C43C2411yescharacteristic
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—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)⋊C4—21no—
591(C2×D43)⋊C4C2×D411yescharacteristic
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
597(C2×D43)⋊C4C2×D411yescharacteristic
598(C2×D43)⋊C4C2×D411yescharacteristic
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
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
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
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×C43C22×D411yescharacteristic
664C22×D43—22no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—41no—
668C22×D43—41no—
669C22×D43—42no—
670C22×D43—81no—
671C22×D43—81no—
672C22×D43C22×D411yescharacteristic
673C22×D43C22×D411yescharacteristic
674Q8×C43—21no—
675Q8×C43—21no—
676Q8×C43—81no—
677Q8×C43—81no—
678D4×C43—21no—
679D4×C43—21no—
680D4×C43—42no—
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—21no—
690C2×C4×C43—41no—
691C2×C4×C43—41no—
692C2×C4×C43—81no—
693C2×C4×C43C22×D411yescharacteristic
694C2×C4×C43C22×D411yescharacteristic
695C2×C4×C43C22×D411yescharacteristic
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C2511yescharacteristic
699C22⋊D43—42no—
700C22⋊D43—42no—
701C22⋊D43—42no—
702C22⋊D43—81no—
703C22⋊D43—81no—
704C22⋊D43—81no—
705C2×Dic43—22no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—41no—
713C2×Dic43—41no—
714C2×Dic43—81no—
715C2×Dic43C22×D411yescharacteristic
716C2×Dic43C22×D411yescharacteristic
717C2×Dic43C22×D411yescharacteristic
718C2×Dic43C22×D411yescharacteristic
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721D172—21no—
722D172—21no—
723D172—21no—
724D172—21no—
725D172—42no—
726D172—81no—
727D172—81no—
728D172—81no—
729D172—81no—
730C4×D43—22no—
731C4×D43—21no—
732C4×D43—21no—
733C4×D43—22no—
734C4×D43—42no—
735C4×D43—81no—
736C4×D43—81no—
737C4×D43—81no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D432−1+412yes—
745C4×D432−1+412yes—
746Dic86—81no—
747Dic86—81no—
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#60875—431nomaximal, Sylow
763C22×C43—21no—
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43C23×D411yescharacteristic
770C2×D43—21no—
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—82no—
782C2×D43—162no—
783C2×D43#53612yes—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—21no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43C2×2−1+411yescharacteristic
797C4×C43C2×2−1+411yescharacteristic
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—21no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809Dic43#53612yes—
810#3494—431no—
811#3458—431no—
812#3244—431no—
813#3244—431no—
814#3243—431no—
815#3243—431no—
816#3241—431no—
817#3241—431no—
818#3241—431no—
819#3241—431no—
820#3240—431no—
821#3240—431no—
822#3235—431no—
823#3235—431no—
824#3233—431no—
825#3233D4311yescharacteristic, complemented
826#3228—431no—
827#3228—431no—
828#3164—431no—
829#3163—431no—
830#3136—431no—
831#3136—431no—
832#3094—431no—
833#3093—431no—
834#3091—431no—
835C2×#482—431no—
836#3084—431no—
837#3083—431no—
838#3081—431no—
839#3081—431no—
840#2924—431no—
841C2×C43—41no—
842C2×C43—81no—
843C2×C43C2×#53611yescharacteristic
844C2×C43#358411yescharacteristic
845C2×C43#358511yescharacteristic
846D43—22no—
847D43—41no—
848D43—81no—
849D43—81no—
850#555—861no—
851#553—861no—
852#553—861no—
853#551—861no—
854#551—861no—
855#547—861no—
856#546—861no—
857#546—861no—
858#544—431no—
859#544—431no—
860#544—431no—
861#544—431no—
862#544—431no—
863#544—431no—
864#544—431no—
865#544—431no—
866#544—431no—
867#544—861no—
868#544—861no—
869#543—861no—
870#543—861no—
871#542—431no—
872#542—431no—
873#540—431no—
874#540—431no—
875#535—431no—
876#533—431no—
877#533—431no—
878#533—431no—
879#533—861no—
880#533—861no—
881#533—861no—
882#533—861no—
883#533C2×D4311yescharacteristic, complemented
884#532—431no—
885#532—431no—
886#529—431no—
887#529C2×D4311yescharacteristic
888#525—431no—
889C2×#121—431no—
890#520—431no—
891#518—431no—
892C2×#117—431no—
893C2×#117—431no—
894C2×#117—431no—
895#501—431no—
896#501—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501—431no—
901#501—431no—
902#501—431no—
903#500—431no—
904#500—431no—
905#499—431no—
906#499—431no—
907#499C2×D4311yescharacteristic, complemented
908#499C2×D4311yescharacteristic, complemented
909#498—431no—
910#498—431no—
911#490—431no—
912#490—431no—
913#490—431no—
914#490—431no—
915#489—431no—
916#489—431no—
917#489—431no—
918#489—431no—
919#488—431no—
920#488—431no—
921#488C2×D4311yescharacteristic, complemented
922#488C2×D4311yescharacteristic, complemented
923#486—431no—
924#486—431no—
925#486—431no—
926#486—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485C2×D4311yescharacteristic, complemented
932#485C2×D4311yescharacteristic, complemented
933#484—431no—
934#483—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#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic
952#482C2×D4311yescharacteristic
953#481—431no—
954#481—431no—
955#481—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#479—431no—
963#478—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#477—431no—
976#477C2×D4311yescharacteristic, complemented
977#476—431no—
978#476—431no—
979#476—431no—
980#476—431no—
981#476—431no—
982#476C2×D4311yescharacteristic, complemented
983#475—431no—
984#475C2×D4311yescharacteristic, complemented
985#474—431no—
986#474—431no—
987#474—431no—
988#474—431no—
989#474—431no—
990#474C2×D4311yescharacteristic, complemented
991#433—431no—
992#433—431no—
993#433—431no—
994#433—431no—
995#432—431no—
996#432—431no—
997#431—431no—
998#431C2×D4311yescharacteristic, complemented
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#428—431no—
1003#427—431no—
1004#427—431no—
1005C2×#107—431no—
1006C2×#106—431no—
1007#424—431no—
1008#424—431no—
1009#418—431no—
1010#418—431no—
1011#417—431no—
1012#417—431no—
1013#416—431no—
1014#416—431no—
1015C2×#102—431no—
1016C2×#102—431no—
1017#407—431no—
1018C2×C22⋊C8—431no—
1019#405—431no—
1020#405—431no—
1021C43#6087511yescharacteristic, complemented, Sylow
1022C2×#41—431no—
1023C2×#41—861no—
1024C2×#41—861no—
1025C22×D4—431no—
1026C22×D4—861no—
1027C23×C4—431no—
1028C2×M16—431no—
1029C2×M16—431no—
1030C22×C8—431no—
1031C22×C8—431no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—431no—
1037C4⋊Q8—431no—
1038C4⋊Q8—431no—
1039C4⋊Q8—431no—
1040C4⋊Q8—861no—
1041C4⋊Q8—861no—
1042C4⋊Q8—861no—
1043C4⋊Q8—861no—
1044C4⋊Q8—861no—
1045C4⋊Q8—861no—
1046C4⋊Q8—861no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8C22×D4311yescharacteristic
1050C4⋊Q8C22×D4311yescharacteristic
1051#127—431no—
1052#127—431no—
1053#126—21no—
1054#126—861no—
1055#126—861no—
1056#126—861no—
1057#125—431no—
1058#125—431no—
1059#125—431no—
1060#125—431no—
1061#125—431no—
1062#125—431no—
1063#125—431no—
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#125C22×D4311yescharacteristic
1074#125C22×D4311yescharacteristic
1075#125C22×D4311yescharacteristic
1076#124—431no—
1077#124—861no—
1078#124—861no—
1079#124—861no—
1080#124—861no—
1081#124C22×D4311yescharacteristic
1082#123—21no—
1083#123—861no—
1084#123—861no—
1085#123—861no—
1086#123—861no—
1087#123—861no—
1088#123—861no—
1089#123—861no—
1090#123—861no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—431no—
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⋊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—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8C22×D4311yescharacteristic
1121#121—431no—
1122#121—431no—
1123#121—431no—
1124#121—431no—
1125#121—431no—
1126#121—861no—
1127#121—861no—
1128#121—861no—
1129#121—861no—
1130#121—861no—
1131#121—861no—
1132#121—861no—
1133#121—861no—
1134#121—861no—
1135#121—861no—
1136#121C22×D4311yescharacteristic
1137#120—861no—
1138#120—861no—
1139#120—861no—
1140C4×Q8—21no—
1141C4×Q8—21no—
1142C4×Q8—431no—
1143C4×Q8—861no—
1144C4×Q8—861no—
1145C4×Q8—861no—
1146C4×Q8—861no—
1147C4×Q8—861no—
1148C4×Q8—861no—
1149C4×Q8C22×D4311yescharacteristic
1150C4×D4—21no—
1151C4×D4—431no—
1152C4×D4—431no—
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4—861no—
1162C4×D4—861no—
1163C4×D4—861no—
1164C4×D4—861no—
1165C4×D4C22×D4311yescharacteristic
1166#117—21no—
1167#117—431no—
1168#117—431no—
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—431no—
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117—431no—
1182#117—861no—
1183#117—861no—
1184#117—861no—
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—431no—
1197C2×C4⋊C4—861no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—861no—
1201C2×C22⋊C4—861no—
1202C2×C22⋊C4—861no—
1203C2×C22⋊C4—861no—
1204C2×C22⋊C4—861no—
1205C2×C42—431no—
1206C2×C42—861no—
1207C2×C42—861no—
1208C2×C42C22×D4311yescharacteristic
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#107—431no—
1221#107C22×D4311yescharacteristic
1222#107C22×D4311yescharacteristic
1223#107C22×D4311yescharacteristic
1224#107C22×D4311yescharacteristic
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#106—431no—
1237#106C22×D4311yescharacteristic
1238#106C22×D4311yescharacteristic
1239#106C22×D4311yescharacteristic
1240#106C22×D4311yescharacteristic
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8—431no—
1244C4⋊C8—431no—
1245C4⋊C8—431no—
1246C4⋊C8—431no—
1247C4⋊C8C22×D4311yescharacteristic
1248C4⋊C8C22×D4311yescharacteristic
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103C22×D4311yescharacteristic
1254#103C22×D4311yescharacteristic
1255#103C22×D4311yescharacteristic
1256#103C22×D4311yescharacteristic
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#102—431no—
1273#102—431no—
1274#102—431no—
1275#102—431no—
1276#102—431no—
1277#102C22×D4311yescharacteristic
1278#102C22×D4311yescharacteristic
1279#102C22×D4311yescharacteristic
1280#102C22×D4311yescharacteristic
1281C22⋊C8—431no—
1282C22⋊C8—431no—
1283C22⋊C8—431no—
1284C22⋊C8—431no—
1285C22⋊C8—431no—
1286C22⋊C8—431no—
1287C22⋊C8C22×D4311yescharacteristic
1288C22⋊C8C22×D4311yescharacteristic
1289#97—431no—
1290#97—431no—
1291#97—431no—
1292#97—431no—
1293C4×C8—431no—
1294C4×C8—431no—
1295C4×C8C22×D4311yescharacteristic
1296C4×C8C22×D4311yescharacteristic
1297C24—431no—
1298C24—861no—
1299#41—862no—
1300#41—862no—
1301#41—3442no—
1302#41—3442no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—861no—
1312C2×Q8—861no—
1313C2×Q8C23×D4311yescharacteristic
1314C2×D4—21no—
1315C2×D4—431no—
1316C2×D4—431no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—861no—
1323C2×D4—861no—
1324C2×D4—861no—
1325C2×D4—861no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4—861no—
1330C2×D4—3442no—
1331C2×D4C23×D4311yescharacteristic
1332C22×C4—21no—
1333C22×C4—431no—
1334C22×C4—431no—
1335C22×C4—431no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—862no—
1341C22×C4—862no—
1342C22×C4—861no—
1343C22×C4—861no—
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×C4D4×D4311yescharacteristic
1354C22×C4D4×D4311yescharacteristic
1355C22×C4C23×D4311yescharacteristic
1356M16—862no—
1357M16—862no—
1358C2×C8—431no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—862no—
1363C2×C8—862no—
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C4⋊C4—21no—
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—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
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⋊C4C23×D4311yescharacteristic
1422C4⋊C4C23×D4311yescharacteristic
1423C4⋊C4C23×D4311yescharacteristic
1424C4⋊C4C23×D4311yescharacteristic
1425C4⋊C4C23×D4311yescharacteristic
1426C4⋊C4C23×D4311yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—431no—
1441C22⋊C4—431no—
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⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—861no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42—861no—
1476C42—861no—
1477C42D4×D4311yescharacteristic
1478C42D4×D4311yescharacteristic
1479C42C23×D4311yescharacteristic
1480C42C23×D4311yescharacteristic
1481C23—21no—
1482C23—431no—
1483C23—431no—
1484C23—862no—
1485C23—861no—
1486C23—861no—
1487C23—3441no—
1488C23—3441no—
1489C23—1721no—
1490C23—1721no—
1491C23—1722no—
1492C23C2×D4×D4311yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—81no—
1496Q8—81no—
1497Q8—3441no—
1498Q8—3441no—
1499Q8—3441no—
1500Q8—3441no—
1501Q8—3441no—
1502Q8—3441no—
1503Q8—3441no—
1504Q8—3441no—
1505D4—21no—
1506D4—21no—
1507D4—42no—
1508D4—861no—
1509D4—861no—
1510D4—861no—
1511D4—861no—
1512D4—3441no—
1513D4—3441no—
1514D4—3441no—
1515D4—3441no—
1516D4—3441no—
1517D4—3441no—
1518D4—3441no—
1519D4—1722no—
1520D4—1722no—
1521D4—1722no—
1522D4—1722no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—81no—
1535C2×C4—431no—
1536C2×C4—432no—
1537C2×C4—432no—
1538C2×C4—431no—
1539C2×C4—431no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—862no—
1544C2×C4—862no—
1545C2×C4—862no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—3441no—
1555C2×C4—3441no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—1722no—
1565C2×C4—1721no—
1566C2×C4—1721no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C24×D4311yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—861no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—432no—
1588C22—861no—
1589C22—861no—
1590C22—861no—
1591C22—861no—
1592C22—861no—
1593C22—3442no—
1594C22—1721no—
1595C22—1721no—
1596C22—1721no—
1597C22—1721no—
1598C22—1721no—
1599C22—1721no—
1600C22—6882no—
1601C22C22×D4×D4311yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—432no—
1615C4—861no—
1616C4—861no—
1617C4—861no—
1618C4—861no—
1619C4—861no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4—1721no—
1624C4—1721no—
1625C4—1721no—
1626C42−1+4×D4311yescharacteristic
1627C42−1+4×D4311yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—862no—
1631C2—3441no—
1632C2—3441no—
1633C2—1721no—
1634C2#536×D4311yescharacteristic
1635C2#1914936411yescharacteristic
1636C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3233C2
socleC22×C43C23×D4
prime radical#19148318C2
hypercenter#3233D43
hypocenterC43#60875
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3233

Complements

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

NH ≅ G/Ntype
2. #19147998C2semidirect
3. #19145898C2semidirect
4. #19145886C2semidirect
5. #19145883C2semidirect
6. #19145871C2semidirect
7. #19145855C2semidirect
8. #19145851C2semidirect
9. #19145851C2semidirect
10. #19145847C2semidirect
11. #19145839C2semidirect
12. #19145831C2semidirect
13. #19145793C2semidirect
14. #19145790C2semidirect
15. #19145777C2semidirect
16. #19145733C2semidirect
17. #19145729C2semidirect
18. #19145132C2semidirect
19. #19145124C2semidirect
20. #19144948C2semidirect
21. #19144948C2semidirect
22. #19144534C2semidirect
23. #19144527C2semidirect
24. #19144513C2semidirect
25. #482×D43C2semidirect
26. #19144454C2semidirect
27. #19144443C2semidirect
28. #19144421C2semidirect
29. #19144419C2semidirect
30. #19143248C2semidirect
31. C43×#3233C2semidirect
43. #14583529C22semidirect
44. #14583529C22semidirect
49. #14583526C22semidirect
50. #14583526C22semidirect
58. #14583456C22semidirect
63. #14583452C22semidirect
64. #14583452C22semidirect
75. #14583309C22semidirect
76. #14583309C22semidirect
77. #14583309C22semidirect
78. #14583309C22semidirect
79. #14583307C22semidirect
80. #14583307C22semidirect
81. #14583306C22semidirect
82. #14583306C22semidirect
83. #14583304C22semidirect
84. #14583303C22semidirect
85. #14583300C22semidirect
86. #14583299C22semidirect
87. #14583297C22semidirect
88. #14583296C22semidirect
89. #14583265C22semidirect
90. #14583265C22semidirect
91. #14583262C22semidirect
92. #14583262C22semidirect
93. #14583260C22semidirect
94. #14583260C22semidirect
95. #14583258C22semidirect
96. #14583258C22semidirect
97. #14583255C22semidirect
98. #14583255C22semidirect
99. #14583246C22semidirect
100. #14583246C22semidirect
101. #14583244C22semidirect
102. #14583244C22semidirect
103. #14583239C22semidirect
104. #14583238C22semidirect
105. #14583237C22semidirect
106. #14583237C22semidirect
107. #14583233C22semidirect
108. #14583228C22semidirect
110. #14583226C22semidirect
112. #14583225C22semidirect
115. #14583224C22semidirect
116. #14583224C22semidirect
119. #14583223C22semidirect
120. #14583223C22semidirect
126. #14583219C22semidirect
129. #14583214C22semidirect
131. #14583208C22semidirect
132. #14583206C22semidirect
133. #14583206C22semidirect
134. #14583204C22semidirect
135. #14583202C22semidirect
136. #14583202C22semidirect
137. #14583201C22semidirect
138. #14583200C22semidirect
139. #14583200C22semidirect
140. #14583200C22semidirect
141. #14583200C22semidirect
142. #14583199C22semidirect
143. #14583199C22semidirect
144. #14583198C22semidirect
145. #14583198C22semidirect
146. #14583197C22semidirect
147. #14583192C22semidirect
148. #14583188C22semidirect
149. #14583188C22semidirect
150. #14583187C22semidirect
151. #14583186C22semidirect
152. #14583186C22semidirect
153. #14583182C22semidirect
154. #14583178C22semidirect
155. #14583178C22semidirect
156. #14583177C22semidirect
157. #14583176C22semidirect
158. #14583176C22semidirect
159. #14582959C22semidirect
160. #14582959C22semidirect
161. #14582958C22semidirect
162. #14582958C22semidirect
163. #14582956C22semidirect
164. #14582953C22semidirect
165. #14582949C22semidirect
188. C43×#533C22semidirect
190. C43×#499C22semidirect
191. C43×#499C22semidirect
192. C43×#488C22semidirect
193. C43×#488C22semidirect
194. C43×#485C22semidirect
195. C43×#485C22semidirect
198. C43×#477C22semidirect
199. C43×#476C22semidirect
200. C43×#475C22semidirect
201. C43×#474C22semidirect
202. C43×#431C22semidirect
825. #3233D43semidirect
883. #533C2×D43semidirect
907. #499C2×D43semidirect
908. #499C2×D43semidirect
921. #488C2×D43semidirect
922. #488C2×D43semidirect
931. #485C2×D43semidirect
932. #485C2×D43semidirect
976. #477C2×D43semidirect
982. #476C2×D43semidirect
984. #475C2×D43semidirect
990. #474C2×D43semidirect
998. #431C2×D43semidirect
1021. C43#60875semidirect

Maximal subgroups

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

subgroupindex
#191483182
#191479982
#191458982
#191458862
#191458832
#191458712
#191458552
#191458512
#191458472
#191458392
#191458312
#191457932
#191457902
#191457772
#191457332
#191457292
#191451322
#191451242
#191449482
#191445342
#191445272
#191445132
#482×D432
#191444542
#191444432
#191444212
#191444192
#191432482
C43×#32332
#6087543