Finite Group Databasebeta

← #25969122

Subgroups — #25969122

Order 11008.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148484C211yesmaximal, characteristic
2#19148416C211yesmaximal, characteristic, complemented
3#19145899C211yesmaximal, characteristic, complemented
4#19145898C211yesmaximal, characteristic, complemented
5#19145891C211yesmaximal, characteristic, complemented
6#19145890C211yesmaximal, characteristic, complemented
7#19145884C211yesmaximal, characteristic, complemented
8#19145883C211yesmaximal, characteristic, complemented
9#19145876C211yesmaximal, characteristic, complemented
10#19145875C211yesmaximal, characteristic, complemented
11#19145775C211yesmaximal, characteristic, complemented
12#19145774C211yesmaximal, characteristic, complemented
13#19145769C211yesmaximal, characteristic, complemented
14#19145765C211yesmaximal, characteristic, complemented
15#19145764C211yesmaximal, characteristic, complemented
16#19145759C211yesmaximal, characteristic, complemented
17#19145758C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#19145108C211yesmaximal, characteristic, complemented
20#19144978C211yesmaximal, characteristic, complemented
21#488×D43C211yesmaximal, characteristic, complemented
22#19144561C211yesmaximal, characteristic, complemented
23#19144559C211yesmaximal, characteristic, complemented
24#19144550C211yesmaximal, characteristic
25#19144548C211yesmaximal, characteristic
26#19144432C211yesmaximal, characteristic, complemented
27#19144430C211yesmaximal, characteristic, complemented
28#19144421C211yesmaximal, characteristic, complemented
29#19144419C211yesmaximal, characteristic, complemented
30#19143234C211yesmaximal, characteristic, complemented
31C43×#3233C211yesmaximal, characteristic, complemented
32#14583633—21no—
33#14583632—21no—
34#14583627—21no—
35#14583627—21no—
36#14583617—21no—
37#14583616—21no—
38#14583609—21no—
39#14583609—21no—
40#14583603—21no—
41#14583603—21no—
42#14583603—21no—
43#14583603—21no—
44#14583578—21no—
45#14583577—21no—
46#14583574—21no—
47#14583573—21no—
48#14583527C2211yescharacteristic, complemented
49#14583527C2211yescharacteristic, complemented
50#14583526C2211yescharacteristic
51#14583526C2211yescharacteristic
52#14583526C2211yescharacteristic, complemented
53#14583526C2211yescharacteristic, complemented
54#14583522C2211yescharacteristic
55#14583521C2211yescharacteristic
56#14583516C2211yescharacteristic
57#14583514C2211yescharacteristic
58#14583472C2211yescharacteristic
59#14583465C2211yescharacteristic
60#14583455C2211yescharacteristic
61#14583455C2211yescharacteristic
62#14583455C2211yescharacteristic, complemented
63#14583434C2211yescharacteristic
64#14583433C2211yescharacteristic
65#14583428C2211yescharacteristic
66C2×#13063317C2211yescharacteristic, complemented
67#125×D43C2211yescharacteristic
68#125×D43C2211yescharacteristic, complemented
69#124×D43C2211yescharacteristic
70#14583379C2211yescharacteristic
71#14583379C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621898C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583301C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583298C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583298C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583296C2211yescharacteristic, complemented
89#14583260C2211yescharacteristic
90#14583260C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583256C2211yescharacteristic
94#14583256C2211yescharacteristic
95#14583255C2211yescharacteristic
96#14583255C2211yescharacteristic
97#14583254C2211yescharacteristic
98#14583254C2211yescharacteristic
99#14583253C2211yescharacteristic
100#14583253C2211yescharacteristic
101#14583252C2211yescharacteristic
102#14583252C2211yescharacteristic
103#14583243C2211yescharacteristic, complemented
104#14583242C2211yescharacteristic, complemented
105#14583240C2211yescharacteristic, complemented
106#14583240C2211yescharacteristic, complemented
107#14583239C2211yescharacteristic, complemented
108#14583238C2211yescharacteristic, complemented
109#14583236C2211yescharacteristic, complemented
110#14583235C2211yescharacteristic, complemented
111#14583233C2211yescharacteristic, complemented
112#14583232C2211yescharacteristic, complemented
113#14583231C2211yescharacteristic, complemented
114#14583230C2211yescharacteristic, complemented
115#14583228C2211yescharacteristic, complemented
116#14583227C2211yescharacteristic, complemented
117#14583226C2211yescharacteristic
118#14583225C2211yescharacteristic
119#14583223C2211yescharacteristic
120#14583223C2211yescharacteristic
121#14583222C2211yescharacteristic
122#14583221C2211yescharacteristic
123#14583219C2211yescharacteristic
124#14583218C2211yescharacteristic
125#14583216C2211yescharacteristic
126#14583215C2211yescharacteristic
127#14583214C2211yescharacteristic
128#14583213C2211yescharacteristic
129#14583211C2211yescharacteristic
130#14583210C2211yescharacteristic
131#14583209C2211yescharacteristic, complemented
132#14583208C2211yescharacteristic, complemented
133#14583207C2211yescharacteristic, complemented
134#14583207C2211yescharacteristic, complemented
135#14583206C2211yescharacteristic, complemented
136#14583206C2211yescharacteristic, complemented
137#14583205C2211yescharacteristic, complemented
138#14583204C2211yescharacteristic, complemented
139#14583202C2211yescharacteristic
140#14583201C2211yescharacteristic
141#14583200C2211yescharacteristic
142#14583200C2211yescharacteristic
143#14583199C2211yescharacteristic
144#14583199C2211yescharacteristic
145#14583198C2211yescharacteristic
146#14583197C2211yescharacteristic
147#14583193C2211yescharacteristic, complemented
148#14583192C2211yescharacteristic, complemented
149#14583191C2211yescharacteristic, complemented
150#14583188C2211yescharacteristic
151#14583187C2211yescharacteristic
152#14583186C2211yescharacteristic
153#14583183C2211yescharacteristic, complemented
154#14583182C2211yescharacteristic, complemented
155#14583181C2211yescharacteristic, complemented
156#14583178C2211yescharacteristic
157#14583177C2211yescharacteristic
158#14583176C2211yescharacteristic
159#14582959C2211yescharacteristic, complemented
160#14582959C2211yescharacteristic, complemented
161#14582957C2211yescharacteristic, complemented
162#14582957C2211yescharacteristic, complemented
163#14582952C2211yescharacteristic, complemented
164#14582950C2211yescharacteristic, complemented
165#14582950C2211yescharacteristic, complemented
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582936C2211yescharacteristic
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582924C2211yescharacteristic
175#14582924C2211yescharacteristic
176#14582906C2211yescharacteristic
177#14582906C2211yescharacteristic
178#14582902C2211yescharacteristic
179#14582902C2211yescharacteristic
180#103×D43C2211yescharacteristic
181#103×D43C2211yescharacteristic
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic
193C43×#488C2211yescharacteristic
194C43×#485C2211yescharacteristic, complemented
195C43×#485C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#482C2211yescharacteristic
198C43×#477C2211yescharacteristic, complemented
199C43×#476C2211yescharacteristic
200C43×#475C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic
202C43×#431C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×D4×D43C2311yescharacteristic
206C2×#10621872C2311yescharacteristic
207C2×#10621872C2311yescharacteristic
208C2×C8×D43C2311yescharacteristic
209C2×C8×D43C2311yescharacteristic
210#13063325—21no—
211#13063325—21no—
212#13063324—21no—
213#13063324C2311yescharacteristic
214#13063324C2311yescharacteristic
215#13063324C2311yescharacteristic
216#13063324C2311yescharacteristic
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063323—21no—
220#13063323—21no—
221#13063323—21no—
222#13063323—21no—
223#13063321—21no—
224#13063320—21no—
225#13063320—21no—
226#13063319—21no—
227#13063319—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063317—21no—
232#13063317—21no—
233#13063317—21no—
234#13063317—21no—
235#13063317C2311yescharacteristic
236#13063317C2311yescharacteristic
237#13063317C2311yescharacteristic
238#13063317C2311yescharacteristic
239#13063317C2311yescharacteristic
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#13063314C2311yescharacteristic
253#13063313—21no—
254#13063313C2311yescharacteristic
255#13063312—21no—
256#13063312C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063308—21no—
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063306—21no—
272#13063305—21no—
273#13063305C2311yescharacteristic
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#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301—21no—
296#13063301C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063296C2311yescharacteristic
300#13063295—21no—
301#13063293—21no—
302Q8×Dic43C2311yescharacteristic
303C4×Dic86—21no—
304C4×Dic86—21no—
305C4×Dic86—21no—
306C4×Dic86D411yescharacteristic
307C4×Dic86D411yescharacteristic
308C4×Dic86C2311yescharacteristic
309#13063290—21no—
310#13063290—21no—
311#13063290—21no—
312#13063290—21no—
313#13063290—21no—
314#13063290—21no—
315#13063290—21no—
316#13063290C2311yescharacteristic
317C4×D172—21no—
318C4×D172—21no—
319C4×D172D411yescharacteristic
320C4×D172D411yescharacteristic
321C4×D172C2311yescharacteristic
322D4×Dic43C2311yescharacteristic
323#13063287—21no—
324#13063287C2311yescharacteristic
325C4×C22⋊D43—21no—
326C4×C22⋊D43—21no—
327C4×C22⋊D43D411yescharacteristic
328C4×C22⋊D43D411yescharacteristic
329C4×C22⋊D43D411yescharacteristic
330C4×C22⋊D43D411yescharacteristic
331(C22⋊D43)⋊C4—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#13063284C2311yescharacteristic
338#13063283—21no—
339#13063283—21no—
340#13063283C2311yescharacteristic
341#13063283C2311yescharacteristic
342#13063283C2311yescharacteristic
343#13063283C2311yescharacteristic
344#13063283C2311yescharacteristic
345#13063283C2311yescharacteristic
346#13063282—21no—
347#13063282—21no—
348#13063282C2311yescharacteristic
349#13063282C2311yescharacteristic
350#13063281—21no—
351C2×C4⋊Dic43C2311yescharacteristic
352C2×C4⋊Dic43C2311yescharacteristic
353C2×Dic43⋊C4—21no—
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
363C2×(C2×D43)⋊C4—21no—
364C22⋊C4×D43—21no—
365C22⋊C4×D43—21no—
366C22⋊C4×D43—21no—
367C42×D43C2311yescharacteristic
368C42×D43C2311yescharacteristic
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#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
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#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
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—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43C2411yescharacteristic
484C22×C4×C43—21no—
485C22×C4×C43C2×D411yescharacteristic
486C22×C4×C43C2×D411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43C2×D411yescharacteristic
492C2×C22⋊D43C2×D411yescharacteristic
493C22×Dic43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496Q8×D43—22no—
497Q8×D43—22no—
498D4×D43—22no—
499D4×D43—22no—
500#10621898—22no—
501#10621898—22no—
502C2×D172—21no—
503C2×D172C2×D411yescharacteristic
504C2×D172C2411yescharacteristic
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43—21no—
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43C2×D411yescharacteristic
513C2×C4×D43C2×D411yescharacteristic
514C2×C4×D43C2×D411yescharacteristic
515C2×C4×D43C2×D411yescharacteristic
516C2×C4×D43C2411yescharacteristic
517C2×C4×D43C2411yescharacteristic
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86C2×D411yescharacteristic
526C2×Dic86C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
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×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C4⋊C4×C43C2411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C42×C43—21no—
555C42×C43—21no—
556C42×C43—21no—
557C42×C43C2×D411yescharacteristic
558C42×C43C2×D411yescharacteristic
559C42×C43C2411yescharacteristic
560C42×C43C2411yescharacteristic
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565C22⋊Dic43—21no—
566C22⋊Dic43C2×D411yescharacteristic
567C22⋊Dic43C2×D411yescharacteristic
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)⋊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)⋊C4C2×D411yescharacteristic
585(C2×D43)⋊C4C2×D411yescharacteristic
586(C2×D43)⋊C4C2×D411yescharacteristic
587(C2×D43)⋊C4C2×D411yescharacteristic
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43C2×D411yescharacteristic
597C4⋊Dic43C2×D411yescharacteristic
598C4⋊Dic43C2411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600C4⋊Dic43C2411yescharacteristic
601C4⋊Dic43C2411yescharacteristic
602C4⋊Dic43C2411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
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×Dic43C2×D411yescharacteristic
646C4×Dic43C2×D411yescharacteristic
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×C43—21no—
660C23×C43C22×D411yescharacteristic
661C22×D43—21no—
662C22×D43—42no—
663C22×D43—81no—
664C22×D43—81no—
665C22×D43C22×D411yescharacteristic
666C22×D43C22×D411yescharacteristic
667Q8×C43—21no—
668Q8×C43—21no—
669Q8×C43—81no—
670Q8×C43—81no—
671D4×C43—21no—
672D4×C43—21no—
673D4×C43—81no—
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×C43—81no—
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C22×D411yescharacteristic
690C2×C4×C43C22×D411yescharacteristic
691C2×C4×C43C2511yescharacteristic
692C22⋊D43—22no—
693C22⋊D43—22no—
694C22⋊D43—42no—
695C22⋊D43—81no—
696C22⋊D43—81no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—81no—
705C2×Dic43—81no—
706C2×Dic43—81no—
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710C2×Dic43C22×D411yescharacteristic
711C2×Dic43C22×D411yescharacteristic
712C2×Dic43C22×D411yescharacteristic
713D172—22no—
714D172—21no—
715D172—21no—
716D172—81no—
717C4×D43—21no—
718C4×D43—21no—
719C4×D43—41no—
720C4×D43—41no—
721C4×D43—41no—
722C4×D43—41no—
723C4×D43—42no—
724C4×D43—81no—
725C4×D43—81no—
726C4×D43—81no—
727C4×D43—81no—
728C4×D43—81no—
729C4×D43—81no—
730C4×D432−1+412yes—
731C4×D432−1+412yes—
732Dic86—22no—
733Dic86—21no—
734Dic86—21no—
735Dic86—42no—
736Dic86—81no—
737Dic86—81no—
738Dic86—81no—
739Dic86—81no—
740Dic86—81no—
741Dic86—81no—
742C8×C43—21no—
743C8×C43—21no—
744C8×C43—21no—
745C8×C43—21no—
746C43⋊C8—21no—
747C43⋊C8—21no—
748C43⋊C8—21no—
749C43⋊C8—21no—
750#60879—431nomaximal, Sylow
751C22×C43—21no—
752C22×C43—21no—
753C22×C43—21no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43C23×D411yescharacteristic
758C2×D43—21no—
759C2×D43—21no—
760C2×D43—21no—
761C2×D43—21no—
762C2×D43—21no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—162no—
767C2×D43#53612yes—
768C4×C43—21no—
769C4×C43—21no—
770C4×C43—21no—
771C4×C43—21no—
772C4×C43—21no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43C2×2−1+411yescharacteristic
781C4×C43C2×2−1+411yescharacteristic
782Dic43—21no—
783Dic43—21no—
784Dic43—21no—
785Dic43—21no—
786Dic43—21no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43#53612yes—
795#3510—431no—
796#3504—431no—
797#3244—431no—
798#3244—431no—
799#3244—431no—
800#3244—431no—
801#3243—431no—
802#3243—431no—
803#3243—431no—
804#3243—431no—
805#3233—431no—
806#3233—431no—
807#3233—431no—
808#3233D4311yescharacteristic, complemented
809#3232—431no—
810#3232—431no—
811#3232—431no—
812#3232—431no—
813#3166—431no—
814#3160—431no—
815#3140—431no—
816C2×#488—431no—
817#3097—431no—
818#3097—431no—
819#3096—431no—
820#3096—431no—
821#3082—431no—
822#3082—431no—
823#3081—431no—
824#3081—431no—
825#2922—431no—
826C2×C43—41no—
827C2×C43—81no—
828C2×C43C2×#53611yescharacteristic
829C2×C43#358411yescharacteristic
830C2×C43#358411yescharacteristic
831D43—22no—
832D43—41no—
833D43—81no—
834#559—861no—
835#559—861no—
836#557—861no—
837#557—861no—
838#556—861no—
839#556—861no—
840#554—861no—
841#554—861no—
842#554—861no—
843#554—861no—
844#554—861no—
845#554—861no—
846#551—861no—
847#551—861no—
848#551—861no—
849#551—861no—
850#544—431no—
851#544—431no—
852#544—431no—
853#544—431no—
854#544—431no—
855#544—431no—
856#542—431no—
857#542—431no—
858#542—431no—
859#542—431no—
860#536—431no—
861#535—431no—
862#533—431no—
863#533—431no—
864#533—431no—
865#533C2×D4311yescharacteristic, complemented
866#529—431no—
867#529—431no—
868#529—431no—
869#529C2×D4311yescharacteristic
870C2×#125—431no—
871C2×#125—431no—
872C2×#125—431no—
873C2×#124—431no—
874#520—431no—
875#520—431no—
876#519—431no—
877#518—431no—
878C4×#41—431no—
879#501—431no—
880#501—431no—
881#501—431no—
882#501—431no—
883#500—431no—
884#500—431no—
885#499—431no—
886#499—431no—
887#499—431no—
888#499—431no—
889#499—431no—
890#499—431no—
891#499C2×D4311yescharacteristic, complemented
892#499C2×D4311yescharacteristic, complemented
893#498—431no—
894#498—431no—
895#489—431no—
896#489—431no—
897#489—431no—
898#489—431no—
899#488—431no—
900#488—431no—
901#488—431no—
902#488—431no—
903#488—431no—
904#488—431no—
905#488—431no—
906#488—431no—
907#488—431no—
908#488—431no—
909#488C2×D4311yescharacteristic
910#488C2×D4311yescharacteristic
911#485—431no—
912#485—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485C2×D4311yescharacteristic, complemented
918#485C2×D4311yescharacteristic, complemented
919#484—431no—
920#484—431no—
921#484—431no—
922#484—431no—
923#483—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#482C2×D4311yescharacteristic
934#482C2×D4311yescharacteristic
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480—431no—
940#480—431no—
941#480—431no—
942#480—431no—
943#479—431no—
944#479—431no—
945#479—431no—
946#479—431no—
947#479—431no—
948#479—431no—
949#479—431no—
950#479—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#477—431no—
960#477—431no—
961#477—431no—
962#477C2×D4311yescharacteristic, complemented
963#476—431no—
964#476—431no—
965#476—431no—
966#476C2×D4311yescharacteristic
967#475—431no—
968#475—431no—
969#475—431no—
970#475C2×D4311yescharacteristic, complemented
971#474—431no—
972#474—431no—
973#474—431no—
974#474C2×D4311yescharacteristic
975#433—431no—
976#433—431no—
977#433—431no—
978#433—431no—
979#431—431no—
980#431—431no—
981#431—431no—
982#431C2×D4311yescharacteristic, complemented
983#428—431no—
984#428—431no—
985#428—431no—
986#428—431no—
987#427—431no—
988#427—431no—
989#427—431no—
990#427—431no—
991#424—431no—
992#424—431no—
993#419—431no—
994#419—431no—
995#418—431no—
996#418—431no—
997C2×#103—431no—
998C2×#103—431no—
999C2×#102—431no—
1000C2×#102—431no—
1001#408—431no—
1002#408—431no—
1003C4×M16—431no—
1004C2×C4×C8—431no—
1005C43#6087911yescharacteristic, complemented, Sylow
1006C2×#41—431no—
1007C22×Q8—431no—
1008C22×D4—431no—
1009C2×M16—431no—
1010C2×M16—431no—
1011C22×C8—431no—
1012C22×C8—431no—
1013C4⋊Q8—431no—
1014C4⋊Q8—431no—
1015C4⋊Q8—431no—
1016C4⋊Q8—431no—
1017C4⋊Q8—431no—
1018C4⋊Q8—431no—
1019C4⋊Q8—861no—
1020C4⋊Q8—861no—
1021C4⋊Q8—861no—
1022C4⋊Q8—861no—
1023C4⋊Q8—861no—
1024C4⋊Q8—861no—
1025C4⋊Q8—861no—
1026C4⋊Q8C22×D4311yescharacteristic
1027C4⋊Q8C22×D4311yescharacteristic
1028#127—861no—
1029#126—21no—
1030#126—861no—
1031#126—861no—
1032#126—861no—
1033#126—861no—
1034#126—861no—
1035#126—861no—
1036#126—861no—
1037#125—431no—
1038#125—431no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—431no—
1044#125—431no—
1045#125—431no—
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#125—861no—
1058#125C22×D4311yescharacteristic
1059#125C22×D4311yescharacteristic
1060#125C22×D4311yescharacteristic
1061#124—431no—
1062#124—431no—
1063#124—431no—
1064#124—861no—
1065#124—861no—
1066#124—861no—
1067#124—861no—
1068#124—861no—
1069#124—861no—
1070#124—861no—
1071#124—861no—
1072#124C22×D4311yescharacteristic
1073#123—21no—
1074#123—861no—
1075#123—861no—
1076#123—861no—
1077#123—861no—
1078#123—861no—
1079#123—861no—
1080#123—861no—
1081#123—861no—
1082#123—861no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
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⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8C22×D4311yescharacteristic
1111#121—431no—
1112#121—431no—
1113#121—431no—
1114#121C22×D4311yescharacteristic
1115#120—861no—
1116#120—861no—
1117C4×Q8—21no—
1118C4×Q8—21no—
1119C4×Q8—431no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—431no—
1124C4×Q8—861no—
1125C4×Q8—861no—
1126C4×Q8—861no—
1127C4×Q8—861no—
1128C4×Q8—861no—
1129C4×Q8—861no—
1130C4×Q8—861no—
1131C4×Q8—861no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8C22×D4311yescharacteristic
1135C4×D4—21no—
1136C4×D4—431no—
1137C4×D4—431no—
1138C4×D4—431no—
1139C4×D4—431no—
1140C4×D4—431no—
1141C4×D4—431no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—431no—
1145C4×D4—861no—
1146C4×D4—861no—
1147C4×D4—861no—
1148C4×D4—861no—
1149C4×D4—861no—
1150C4×D4—861no—
1151C4×D4—861no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4C22×D4311yescharacteristic
1157#117—21no—
1158#117—431no—
1159#117—431no—
1160#117—431no—
1161#117—431no—
1162#117—431no—
1163#117—431no—
1164#117—431no—
1165#117—431no—
1166#117—431no—
1167#117—861no—
1168#117—861no—
1169#117—861no—
1170#117—861no—
1171#117—861no—
1172#117C22×D4311yescharacteristic
1173#117C22×D4311yescharacteristic
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—861no—
1181C2×C4⋊C4—861no—
1182C2×C4⋊C4—861no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C4⋊C4—861no—
1186C2×C22⋊C4—861no—
1187C2×C22⋊C4—861no—
1188C2×C22⋊C4—861no—
1189C2×C22⋊C4—861no—
1190C2×C42—431no—
1191C2×C42—431no—
1192C2×C42C22×D4311yescharacteristic
1193#107—431no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107—431no—
1199#107—431no—
1200#107—431no—
1201#107—431no—
1202#107—431no—
1203#107—431no—
1204#107—431no—
1205#107C22×D4311yescharacteristic
1206#107C22×D4311yescharacteristic
1207#107C22×D4311yescharacteristic
1208#107C22×D4311yescharacteristic
1209#106—431no—
1210#106—431no—
1211#106—431no—
1212#106—431no—
1213#106—431no—
1214#106—431no—
1215#106—431no—
1216#106—431no—
1217#106—431no—
1218#106—431no—
1219#106—431no—
1220#106—431no—
1221#106C22×D4311yescharacteristic
1222#106C22×D4311yescharacteristic
1223#106C22×D4311yescharacteristic
1224#106C22×D4311yescharacteristic
1225C4⋊C8—431no—
1226C4⋊C8—431no—
1227C4⋊C8—431no—
1228C4⋊C8—431no—
1229C4⋊C8—431no—
1230C4⋊C8—431no—
1231C4⋊C8C22×D4311yescharacteristic
1232C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1242#103—431no—
1243#103—431no—
1244#103—431no—
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—
1257#102—431no—
1258#102—431no—
1259#102—431no—
1260#102—431no—
1261#102C22×D4311yescharacteristic
1262#102C22×D4311yescharacteristic
1263#102C22×D4311yescharacteristic
1264#102C22×D4311yescharacteristic
1265C22⋊C8—431no—
1266C22⋊C8—431no—
1267C22⋊C8—431no—
1268C22⋊C8—431no—
1269C22⋊C8—431no—
1270C22⋊C8—431no—
1271C22⋊C8C22×D4311yescharacteristic
1272C22⋊C8C22×D4311yescharacteristic
1273#97—431no—
1274#97—431no—
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8—431no—
1278C4×C8—431no—
1279C4×C8C22×D4311yescharacteristic
1280C4×C8C22×D4311yescharacteristic
1281C24—861no—
1282#41—862no—
1283#41—862no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—431no—
1287C2×Q8—431no—
1288C2×Q8—861no—
1289C2×Q8—861no—
1290C2×Q8—861no—
1291C2×Q8—861no—
1292C2×Q8—861no—
1293C2×Q8—861no—
1294C2×Q8—861no—
1295C2×Q8—862no—
1296C2×Q8—862no—
1297C2×Q8C23×D4311yescharacteristic
1298C2×D4—21no—
1299C2×D4—431no—
1300C2×D4—431no—
1301C2×D4—431no—
1302C2×D4—431no—
1303C2×D4—861no—
1304C2×D4—862no—
1305C2×D4—862no—
1306C2×D4—861no—
1307C2×D4—861no—
1308C2×D4—861no—
1309C2×D4C23×D4311yescharacteristic
1310C22×C4—21no—
1311C22×C4—431no—
1312C22×C4—431no—
1313C22×C4—431no—
1314C22×C4—431no—
1315C22×C4—431no—
1316C22×C4—431no—
1317C22×C4—861no—
1318C22×C4—861no—
1319C22×C4—861no—
1320C22×C4—861no—
1321C22×C4—861no—
1322C22×C4—861no—
1323C22×C4—861no—
1324C22×C4—861no—
1325C22×C4—861no—
1326C22×C4—861no—
1327C22×C4D4×D4311yescharacteristic
1328C22×C4D4×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330M16—862no—
1331M16—862no—
1332C2×C8—431no—
1333C2×C8—431no—
1334C2×C8—431no—
1335C2×C8—431no—
1336C2×C8—862no—
1337C2×C8—862no—
1338C2×C8C23×D4311yescharacteristic
1339C2×C8C23×D4311yescharacteristic
1340C2×C8C23×D4311yescharacteristic
1341C2×C8C23×D4311yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—431no—
1357C4⋊C4—431no—
1358C4⋊C4—431no—
1359C4⋊C4—431no—
1360C4⋊C4—431no—
1361C4⋊C4—431no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
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⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4C23×D4311yescharacteristic
1401C4⋊C4C23×D4311yescharacteristic
1402C4⋊C4C23×D4311yescharacteristic
1403C4⋊C4C23×D4311yescharacteristic
1404C4⋊C4C23×D4311yescharacteristic
1405C4⋊C4C23×D4311yescharacteristic
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4—21no—
1413C22⋊C4—431no—
1414C22⋊C4—431no—
1415C22⋊C4—431no—
1416C22⋊C4—431no—
1417C22⋊C4—431no—
1418C22⋊C4—431no—
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—
1431C22⋊C4—861no—
1432C22⋊C4—861no—
1433C22⋊C4—861no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C42—21no—
1441C42—21no—
1442C42—21no—
1443C42—431no—
1444C42—431no—
1445C42—431no—
1446C42—431no—
1447C42—431no—
1448C42—431no—
1449C42—861no—
1450C42—861no—
1451C42—861no—
1452C42—861no—
1453C42—861no—
1454C42—861no—
1455C42—861no—
1456C42—861no—
1457C42—861no—
1458C42D4×D4311yescharacteristic
1459C42D4×D4311yescharacteristic
1460C42C23×D4311yescharacteristic
1461C42C23×D4311yescharacteristic
1462C23—21no—
1463C23—431no—
1464C23—431no—
1465C23—861no—
1466C23—3441no—
1467C23—3441no—
1468C23—1722no—
1469C23C2×D4×D4311yescharacteristic
1470Q8—21no—
1471Q8—21no—
1472Q8—81no—
1473Q8—81no—
1474Q8—862no—
1475Q8—861no—
1476Q8—861no—
1477Q8—3441no—
1478Q8—3441no—
1479Q8—3441no—
1480Q8—3441no—
1481Q8—3441no—
1482Q8—3441no—
1483Q8—1722no—
1484D4—21no—
1485D4—21no—
1486D4—81no—
1487D4—862no—
1488D4—862no—
1489D4—862no—
1490D4—861no—
1491D4—861no—
1492D4—3441no—
1493D4—3441no—
1494D4—3441no—
1495D4—1722no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—81no—
1508C2×C4—431no—
1509C2×C4—432no—
1510C2×C4—432no—
1511C2×C4—431no—
1512C2×C4—431no—
1513C2×C4—431no—
1514C2×C4—431no—
1515C2×C4—431no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—3441no—
1526C2×C4—3441no—
1527C2×C4—3441no—
1528C2×C4—3441no—
1529C2×C4—3441no—
1530C2×C4—3441no—
1531C2×C4—3441no—
1532C2×C4—3441no—
1533C2×C4—3441no—
1534C2×C4—1721no—
1535C2×C4—1721no—
1536C2×C4—1721no—
1537C2×C4—1721no—
1538C2×C4—1722no—
1539C2×C4C2×D4×D4311yescharacteristic
1540C2×C4C2×D4×D4311yescharacteristic
1541C2×C4C2×D4×D4311yescharacteristic
1542C2×C4C2×D4×D4311yescharacteristic
1543C2×C4C2×D4×D4311yescharacteristic
1544C2×C4C24×D4311yescharacteristic
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—21no—
1549C8—861no—
1550C8—861no—
1551C8—861no—
1552C8—861no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—432no—
1560C22—861no—
1561C22—861no—
1562C22—861no—
1563C22—861no—
1564C22—861no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—6882no—
1569C22C22×D4×D4311yescharacteristic
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—432no—
1583C4—861no—
1584C4—861no—
1585C4—861no—
1586C4—861no—
1587C4—861no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C4—1721no—
1593C4—1721no—
1594C4—1721no—
1595C42−1+4×D4311yescharacteristic
1596C42−1+4×D4311yescharacteristic
1597C2—41no—
1598C2—81no—
1599C2—862no—
1600C2—3441no—
1601C2—1721no—
1602C2#536×D4311yescharacteristic
1603C2#1914936411yescharacteristic
1604C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3233C2
socleC22×C43C23×D4
prime radical#14583465C22
hypercenter#3233D43
hypocenterC43#60879
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. #19148416C2semidirect
3. #19145899C2semidirect
4. #19145898C2semidirect
5. #19145891C2semidirect
6. #19145890C2semidirect
7. #19145884C2semidirect
8. #19145883C2semidirect
9. #19145876C2semidirect
10. #19145875C2semidirect
11. #19145775C2semidirect
12. #19145774C2semidirect
13. #19145769C2semidirect
14. #19145765C2semidirect
15. #19145764C2semidirect
16. #19145759C2semidirect
17. #19145758C2semidirect
18. #19145143C2semidirect
19. #19145108C2semidirect
20. #19144978C2semidirect
21. #488×D43C2semidirect
22. #19144561C2semidirect
23. #19144559C2semidirect
26. #19144432C2semidirect
27. #19144430C2semidirect
28. #19144421C2semidirect
29. #19144419C2semidirect
30. #19143234C2semidirect
31. C43×#3233C2semidirect
48. #14583527C22semidirect
49. #14583527C22semidirect
52. #14583526C22semidirect
53. #14583526C22semidirect
62. #14583455C22semidirect
66. C2×#13063317C22semidirect
68. #125×D43C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583303C22semidirect
81. #14583301C22semidirect
82. #14583301C22semidirect
83. #14583298C22semidirect
84. #14583298C22semidirect
85. #14583298C22semidirect
86. #14583298C22semidirect
87. #14583296C22semidirect
88. #14583296C22semidirect
103. #14583243C22semidirect
104. #14583242C22semidirect
105. #14583240C22semidirect
106. #14583240C22semidirect
107. #14583239C22semidirect
108. #14583238C22semidirect
109. #14583236C22semidirect
110. #14583235C22semidirect
111. #14583233C22semidirect
112. #14583232C22semidirect
113. #14583231C22semidirect
114. #14583230C22semidirect
115. #14583228C22semidirect
116. #14583227C22semidirect
131. #14583209C22semidirect
132. #14583208C22semidirect
133. #14583207C22semidirect
134. #14583207C22semidirect
135. #14583206C22semidirect
136. #14583206C22semidirect
137. #14583205C22semidirect
138. #14583204C22semidirect
147. #14583193C22semidirect
148. #14583192C22semidirect
149. #14583191C22semidirect
153. #14583183C22semidirect
154. #14583182C22semidirect
155. #14583181C22semidirect
159. #14582959C22semidirect
160. #14582959C22semidirect
161. #14582957C22semidirect
162. #14582957C22semidirect
163. #14582952C22semidirect
164. #14582950C22semidirect
165. #14582950C22semidirect
188. C43×#533C22semidirect
190. C43×#499C22semidirect
191. C43×#499C22semidirect
194. C43×#485C22semidirect
195. C43×#485C22semidirect
198. C43×#477C22semidirect
200. C43×#475C22semidirect
202. C43×#431C22semidirect
808. #3233D43semidirect
865. #533C2×D43semidirect
891. #499C2×D43semidirect
892. #499C2×D43semidirect
917. #485C2×D43semidirect
918. #485C2×D43semidirect
962. #477C2×D43semidirect
970. #475C2×D43semidirect
982. #431C2×D43semidirect
1005. C43#60879semidirect

Maximal subgroups

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

subgroupindex
#191484842
#191484162
#191458992
#191458982
#191458912
#191458902
#191458842
#191458832
#191458762
#191458752
#191457752
#191457742
#191457692
#191457652
#191457642
#191457592
#191457582
#191451432
#191451082
#191449782
#488×D432
#191445612
#191445592
#191445502
#191445482
#191444322
#191444302
#191444212
#191444192
#191432342
C43×#32332
#6087943