Finite Group Databasebeta

← #25971475

Subgroups — #25971475

Order 11008.

1672 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148487C211yesmaximal, characteristic
2#19148476C211yesmaximal, characteristic, complemented
3#19146028C211yesmaximal, characteristic, complemented
4#19146026C211yesmaximal, characteristic, complemented
5#19146020C211yesmaximal, characteristic, complemented
6#19146018C211yesmaximal, characteristic, complemented
7#19145839C211yesmaximal, characteristic, complemented
8#19145833C211yesmaximal, characteristic, complemented
9#19145808C211yesmaximal, characteristic, complemented
10#19145807C211yesmaximal, characteristic, complemented
11#19145625C211yesmaximal, characteristic, complemented
12#19145620C211yesmaximal, characteristic, complemented
13#19145596C211yesmaximal, characteristic, complemented
14#19145596C211yesmaximal, characteristic, complemented
15#19145489C211yesmaximal, characteristic, complemented
16#19145488C211yesmaximal, characteristic, complemented
17#19145469C211yesmaximal, characteristic
18#19145465C211yesmaximal, characteristic
19#19145302C211yesmaximal, characteristic, complemented
20#19145300C211yesmaximal, characteristic, complemented
21#19145199C211yesmaximal, characteristic, complemented
22#19145197C211yesmaximal, characteristic, complemented
23#19144894C211yesmaximal, characteristic, complemented
24#19144892C211yesmaximal, characteristic, complemented
25#19144846C211yesmaximal, characteristic, complemented
26#19144844C211yesmaximal, characteristic, complemented
27#19144826C211yesmaximal, characteristic, complemented
28#19144824C211yesmaximal, characteristic, complemented
29#19144818C211yesmaximal, characteristic, complemented
30#19143243C211yesmaximal, characteristic, complemented
31C43×#3121C211yesmaximal, characteristic, complemented
32#14583633—21no—
33#14583631—21no—
34#14583627—21no—
35#14583627—21no—
36#14583621—21no—
37#14583621—21no—
38#14583620—21no—
39#14583616—21no—
40#14583582—21no—
41#14583582—21no—
42#14583582—21no—
43#14583582—21no—
44#14583579—21no—
45#14583576—21no—
46#14583574—21no—
47#14583572—21no—
48#14583523C2211yescharacteristic
49#14583520C2211yescharacteristic
50#14583518C2211yescharacteristic
51#14583507C2211yescharacteristic
52#14583507C2211yescharacteristic
53#14583507C2211yescharacteristic, complemented
54#14583507C2211yescharacteristic, complemented
55#14583475C2211yescharacteristic
56#14583473C2211yescharacteristic
57#14583472C2211yescharacteristic
58#14583465C2211yescharacteristic
59#14583454C2211yescharacteristic
60#14583453C2211yescharacteristic
61#14583453C2211yescharacteristic
62#14583453C2211yescharacteristic, complemented
63#14583453C2211yescharacteristic, complemented
64#14583452C2211yescharacteristic, complemented
65C2×#13063323C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic
67#14583435C2211yescharacteristic
68#14583431C2211yescharacteristic
69#14583430C2211yescharacteristic
70#124×D43C2211yescharacteristic
71#14583376C2211yescharacteristic, complemented
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74#14583367C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583307C2211yescharacteristic, complemented
77#14583306C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic
80#14583292C2211yescharacteristic
81#14583290C2211yescharacteristic
82#14583290C2211yescharacteristic
83#14583266C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583266C2211yescharacteristic, complemented
87#14583260C2211yescharacteristic
88#14583260C2211yescharacteristic
89#14583257C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583243C2211yescharacteristic
92#14583243C2211yescharacteristic
93#14583242C2211yescharacteristic
94#14583242C2211yescharacteristic
95#14583241C2211yescharacteristic, complemented
96#14583240C2211yescharacteristic, complemented
97#14583239C2211yescharacteristic
98#14583239C2211yescharacteristic
99#14583238C2211yescharacteristic
100#14583238C2211yescharacteristic
101#14583237C2211yescharacteristic, complemented
102#14583224C2211yescharacteristic
103#14583223C2211yescharacteristic
104#14583220C2211yescharacteristic
105#14583209C2211yescharacteristic, complemented
106#14583208C2211yescharacteristic, complemented
107#14583205C2211yescharacteristic, complemented
108#14583204C2211yescharacteristic, complemented
109#14583202C2211yescharacteristic
110#14583201C2211yescharacteristic
111#14583198C2211yescharacteristic
112#14583197C2211yescharacteristic
113#14583195C2211yescharacteristic, complemented
114#14583194C2211yescharacteristic, complemented
115#14583191C2211yescharacteristic, complemented
116#14583185C2211yescharacteristic, complemented
117#14583184C2211yescharacteristic, complemented
118#14583181C2211yescharacteristic, complemented
119#14583158C2211yescharacteristic, complemented
120#14583156C2211yescharacteristic, complemented
121#14583156C2211yescharacteristic, complemented
122#14583154C2211yescharacteristic, complemented
123#14583148C2211yescharacteristic
124#14583146C2211yescharacteristic
125#14583144C2211yescharacteristic
126#14583142C2211yescharacteristic
127#14583141C2211yescharacteristic, complemented
128#14583139C2211yescharacteristic, complemented
129#14583139C2211yescharacteristic, complemented
130#14583137C2211yescharacteristic, complemented
131#14583131C2211yescharacteristic
132#14583129C2211yescharacteristic
133#14583127C2211yescharacteristic
134#14583125C2211yescharacteristic
135#14583122C2211yescharacteristic
136#14583122C2211yescharacteristic
137#14583121C2211yescharacteristic
138#14583121C2211yescharacteristic
139#14583118C2211yescharacteristic
140#14583118C2211yescharacteristic
141#14583108C2211yescharacteristic, complemented
142#14583108C2211yescharacteristic, complemented
143#14583107C2211yescharacteristic, complemented
144#14583107C2211yescharacteristic, complemented
145#14583103C2211yescharacteristic
146#14583103C2211yescharacteristic
147#14583102C2211yescharacteristic
148#14583102C2211yescharacteristic
149#14583057C2211yescharacteristic, complemented
150#14583056C2211yescharacteristic
151#14583056C2211yescharacteristic
152#14583055C2211yescharacteristic, complemented
153#14583054C2211yescharacteristic, complemented
154#14583053C2211yescharacteristic
155#14583053C2211yescharacteristic
156#14583051C2211yescharacteristic
157#14583051C2211yescharacteristic
158#14583048C2211yescharacteristic
159#14583048C2211yescharacteristic
160#14583040C2211yescharacteristic
161#14583038C2211yescharacteristic
162#14583037C2211yescharacteristic
163#14583007C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14583004C2211yescharacteristic, complemented
166#14583001C2211yescharacteristic
167#14582999C2211yescharacteristic
168#14582997C2211yescharacteristic
169C4×Dic172C2211yescharacteristic, complemented
170C4×#10621885C2211yescharacteristic, complemented
171C4×#10621885C2211yescharacteristic, complemented
172C4×#10621873C2211yescharacteristic
173C4×#10621884C2211yescharacteristic
174C4×#10621883C2211yescharacteristic
175#14582961C2211yescharacteristic
176#14582960C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic
178#14582955C2211yescharacteristic
179#14582955C2211yescharacteristic
180#14582953C2211yescharacteristic, complemented
181#14582953C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183#14582924C2211yescharacteristic, complemented
184#14582864C2211yescharacteristic
185#14582864C2211yescharacteristic
186C4×#10621872C2211yescharacteristic, complemented
187#97×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#519C2211yescharacteristic, complemented
190C43×#485C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#477C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#464C2211yescharacteristic
195C43×#464C2211yescharacteristic
196C43×#451C2211yescharacteristic, complemented
197C43×#448C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C22×Dic86C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325—21no—
224#13063325C2311yescharacteristic
225#13063324—21no—
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323—21no—
230#13063323—21no—
231#13063323C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063321—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063317—21no—
252#13063317—21no—
253#13063317—21no—
254#13063317—21no—
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063314—21no—
268#13063314—21no—
269#13063314C2311yescharacteristic
270#13063313—21no—
271#13063313C2311yescharacteristic
272#13063312C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063309—21no—
283#13063309—21no—
284#13063309—21no—
285#13063309—21no—
286#13063308—21no—
287#13063308—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063306—21no—
292#13063305—21no—
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063304C2311yescharacteristic
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063301—21no—
308#13063301—21no—
309#13063301C2311yescharacteristic
310#13063301C2311yescharacteristic
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063295—21no—
318#13063293—21no—
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290D411yescharacteristic
338#13063290D411yescharacteristic
339#13063290C2311yescharacteristic
340C4×D172—21no—
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43C2311yescharacteristic
344#13063287D411yescharacteristic
345#13063287D411yescharacteristic
346#13063287C2311yescharacteristic
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4D411yescharacteristic
352(C22⋊D43)⋊C4D411yescharacteristic
353(C22⋊D43)⋊C4D411yescharacteristic
354(C22⋊D43)⋊C4D411yescharacteristic
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063283—21no—
358#13063283—21no—
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×Dic43⋊C4—21no—
373C2×Dic43⋊C4—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C2×C4×Dic43C2311yescharacteristic
379C42×D43C2311yescharacteristic
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
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
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C22×Q8×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#124×C43—21no—
443#124×C43C2311yescharacteristic
444#123×C43—21no—
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43C2311yescharacteristic
447#121×C43C2311yescharacteristic
448C4×Q8×C43—21no—
449C4×Q8×C43—21no—
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#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×Q8×C43—41no—
482C2×Q8×C43—41no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43C2×D411yescharacteristic
499C22×Dic43C2×D411yescharacteristic
500Q8×D43—41no—
501Q8×D43—41no—
502D4×D43—41no—
503D4×D43—41no—
504#10621898—41no—
505#10621898—41no—
506C2×D172—21no—
507C2×D172C2×D411yescharacteristic
508C2×D172C2411yescharacteristic
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—41no—
524C2×Dic86—41no—
525C2×Dic86C2×D411yescharacteristic
526C2×Dic86C2411yescharacteristic
527C2×Dic86C2411yescharacteristic
528C2×Dic86C2411yescharacteristic
529Q16×C43—41no—
530Q16×C43—41no—
531SD16×C43—41no—
532SD16×C43—41no—
533C2×C8×C43C2411yescharacteristic
534C2×C8×C43C2411yescharacteristic
535C2×C8×C43C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43C2×D411yescharacteristic
545C4⋊C4×C43C2×D411yescharacteristic
546C4⋊C4×C43C2411yescharacteristic
547C4⋊C4×C43C2411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C22⋊C4×C43—21no—
551C22⋊C4×C43—21no—
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43C2×D411yescharacteristic
557C22⋊C4×C43C2×D411yescharacteristic
558C42×C43—21no—
559C42×C43—21no—
560C42×C43—21no—
561C42×C43—21no—
562C42×C43—21no—
563C42×C43—21no—
564C42×C43C2411yescharacteristic
565C42×C43C2411yescharacteristic
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572#10621885—41no—
573#10621885—41no—
574#10621885—41no—
575#10621885—41no—
576#10621884—41no—
577#10621884—41no—
578#10621883—41no—
579#10621883—41no—
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)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2×D411yescharacteristic
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2×D411yescharacteristic
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671Dic172—41no—
672Dic172—41no—
673#10621873—41no—
674#10621873—41no—
675#10621872—41no—
676#10621872—41no—
677C8×D43—41no—
678C8×D43—41no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C22×D43—21no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43—81no—
685C22×D43C22×D411yescharacteristic
686C22×D43C22×D411yescharacteristic
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—42no—
694Q8×C43—81no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—81no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—42no—
708C2×C4×C43—81no—
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C2511yescharacteristic
715C22⋊D43—41no—
716C22⋊D43—41no—
717C22⋊D43—42no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—41no—
728C2×Dic43—41no—
729C2×Dic43—42no—
730C2×Dic43—81no—
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737D172—21no—
738D172—21no—
739D172—41no—
740D172—81no—
741C4×D43—21no—
742C4×D43—21no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—41no—
746C4×D43—41no—
747C4×D43—41no—
748C4×D43—41no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752Dic86—21no—
753Dic86—21no—
754Dic86—21no—
755Dic86—21no—
756Dic86—21no—
757Dic86—21no—
758Dic86—41no—
759Dic86—42no—
760Dic86—42no—
761Dic86—42no—
762Dic86—42no—
763Dic86—81no—
764C8×C43—21no—
765C8×C43—21no—
766C8×C43—21no—
767C8×C43—21no—
768C43⋊C8—21no—
769C43⋊C8—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772#61018—431nomaximal, Sylow
773C22×C43—21no—
774C22×C43—21no—
775C22×C43—21no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43C23×D411yescharacteristic
780C2×D43—21no—
781C2×D43—21no—
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—162no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—21no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43#58511yescharacteristic
803C4×C43#58511yescharacteristic
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—21no—
808Dic43—21no—
809Dic43—21no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817#3510—431no—
818#3509—431no—
819#3258—431no—
820#3258—431no—
821#3258—431no—
822#3258—431no—
823#3240—431no—
824#3240—431no—
825#3237—431no—
826#3237—431no—
827#3218—431no—
828#3218—431no—
829#3215—431no—
830#3215—431no—
831#3202—431no—
832#3202—431no—
833#3200—431no—
834#3200—431no—
835#3181—431no—
836#3181—431no—
837#3172—431no—
838#3172—431no—
839#3127—431no—
840#3127—431no—
841#3123—431no—
842#3123—431no—
843#3121—431no—
844#3121—431no—
845#3121—431no—
846#3121D4311yescharacteristic, complemented
847#2923—431no—
848C2×C43—41no—
849C2×C43—81no—
850C2×C43#344911yescharacteristic
851C2×C43#358611yescharacteristic
852C2×C43#358611yescharacteristic
853D43—41no—
854D43—41no—
855D43—81no—
856#559—861no—
857#559—861no—
858#557—861no—
859#557—861no—
860#556—861no—
861#556—861no—
862#556—861no—
863#556—861no—
864#552—861no—
865#552—861no—
866#552—861no—
867#552—861no—
868#551—861no—
869#551—861no—
870#551—861no—
871#551—861no—
872#542—431no—
873#542—431no—
874#542—431no—
875#542C2×D4311yescharacteristic
876#541—431no—
877#541—431no—
878#541—431no—
879#541—431no—
880#536—431no—
881#536—431no—
882#536—431no—
883#535—431no—
884#533—431no—
885#533—431no—
886#533—431no—
887#533—431no—
888#533—431no—
889#533—431no—
890C2×C4⋊Q8—431no—
891#529—431no—
892#529—431no—
893#529—431no—
894#529—431no—
895C2×#124—431no—
896#519—431no—
897#519—431no—
898#519C2×D4311yescharacteristic, complemented
899#518—431no—
900C4×#41—431no—
901#501—431no—
902#501—431no—
903#501—431no—
904#501—431no—
905#497—431no—
906#497—431no—
907#497—431no—
908#497—431no—
909#491—431no—
910#491—431no—
911#491—431no—
912#491—431no—
913#489—431no—
914#489—431no—
915#489—431no—
916#489—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#485—431no—
921#485—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485C2×D4311yescharacteristic, complemented
929#482—431no—
930#482—431no—
931#482—431no—
932#482C2×D4311yescharacteristic
933#479—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#478—431no—
938#478—431no—
939#478—431no—
940#478—431no—
941#477—431no—
942#477—431no—
943#477—431no—
944#477C2×D4311yescharacteristic, complemented
945#475—431no—
946#475—431no—
947#475—431no—
948#475C2×D4311yescharacteristic, complemented
949#470—431no—
950#470—431no—
951#470—431no—
952#470—431no—
953#468—431no—
954#468—431no—
955#468—431no—
956#468—431no—
957#467—431no—
958#467—431no—
959#467—431no—
960#467—431no—
961#465—431no—
962#465—431no—
963#465—431no—
964#465—431no—
965#464—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#464—431no—
971#464C2×D4311yescharacteristic
972#464C2×D4311yescharacteristic
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#451—431no—
982#451—431no—
983#451—431no—
984#451—431no—
985#451—431no—
986#451—431no—
987#451—431no—
988#451C2×D4311yescharacteristic, complemented
989#450—431no—
990#450—431no—
991#450—431no—
992#450—431no—
993#448—431no—
994#448—431no—
995#448—431no—
996#448C2×D4311yescharacteristic
997#441—431no—
998#441—431no—
999#441—431no—
1000#441C2×D4311yescharacteristic, complemented
1001#440—431no—
1002#440—431no—
1003#440—431no—
1004#440C2×D4311yescharacteristic
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16C2×D4311yescharacteristic, complemented
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012C4×SD16C2×D4311yescharacteristic
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#433C2×D4311yescharacteristic, complemented
1017#432—431no—
1018#432—431no—
1019#432—431no—
1020#432—431no—
1021#424—431no—
1022#424—431no—
1023#408—431no—
1024#408—431no—
1025C4×M16—431no—
1026C2×#97—431no—
1027C43#6101811yescharacteristic, complemented, Sylow
1028C2×#41—431no—
1029C22×Q8—431no—
1030C22×Q8—431no—
1031C22×Q8C22×D4311yescharacteristic
1032C22×D4—431no—
1033C2×Q16—431no—
1034C2×Q16—431no—
1035C2×Q16—431no—
1036C2×Q16—431no—
1037C2×Q16—431no—
1038C2×Q16—431no—
1039C2×Q16C22×D4311yescharacteristic
1040C2×Q16C22×D4311yescharacteristic
1041C2×SD16—431no—
1042C2×SD16—431no—
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16C22×D4311yescharacteristic
1048C2×SD16C22×D4311yescharacteristic
1049C2×M16—431no—
1050C2×M16—431no—
1051C22×C8—431no—
1052C22×C8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8—861no—
1064C4⋊Q8—861no—
1065C4⋊Q8C22×D4311yescharacteristic
1066#127—861no—
1067#126—21no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#124—21no—
1100#124—431no—
1101#124—431no—
1102#124—431no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#124—861no—
1112#124C22×D4311yescharacteristic
1113#123—21no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127C22⋊Q8—21no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8C22×D4311yescharacteristic
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121C22×D4311yescharacteristic
1155#120—861no—
1156#120—861no—
1157C4×Q8—21no—
1158C4×Q8—21no—
1159C4×Q8—431no—
1160C4×Q8—431no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8—861no—
1172C4×Q8—861no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×Q8C22×D4311yescharacteristic
1182C4×Q8C22×D4311yescharacteristic
1183C4×Q8C22×D4311yescharacteristic
1184C4×Q8C22×D4311yescharacteristic
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4C22×D4311yescharacteristic
1201#117—21no—
1202#117—21no—
1203#117—431no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—861no—
1209#117—861no—
1210#117—861no—
1211#117—861no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117C22×D4311yescharacteristic
1221#117C22×D4311yescharacteristic
1222C2×C4⋊C4—861no—
1223C2×C4⋊C4—861no—
1224C2×C22⋊C4—861no—
1225C2×C22⋊C4—861no—
1226C2×C22⋊C4—861no—
1227C2×C22⋊C4—861no—
1228C2×C42—431no—
1229C2×C42—431no—
1230C2×C42—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107C22×D4311yescharacteristic
1238#107C22×D4311yescharacteristic
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106C22×D4311yescharacteristic
1246#106C22×D4311yescharacteristic
1247C4⋊C8—431no—
1248C4⋊C8—431no—
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8—431no—
1253C4⋊C8C22×D4311yescharacteristic
1254C4⋊C8C22×D4311yescharacteristic
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103C22×D4311yescharacteristic
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#103C22×D4311yescharacteristic
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102C22×D4311yescharacteristic
1286#102C22×D4311yescharacteristic
1287C22⋊C8—431no—
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290C22⋊C8—431no—
1291C22⋊C8—431no—
1292C22⋊C8—431no—
1293C22⋊C8C22×D4311yescharacteristic
1294C22⋊C8C22×D4311yescharacteristic
1295#97—431no—
1296#97—431no—
1297#97—431no—
1298#97—431no—
1299#97—431no—
1300#97C22×D4311yescharacteristic
1301C4×C8—431no—
1302C4×C8C22×D4311yescharacteristic
1303C24—861no—
1304#41—1721no—
1305#41—1721no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—41no—
1309C2×Q8—41no—
1310C2×Q8—431no—
1311C2×Q8—431no—
1312C2×Q8—431no—
1313C2×Q8—431no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8—861no—
1317C2×Q8—861no—
1318C2×Q8—861no—
1319C2×Q8—1721no—
1320C2×Q8—1721no—
1321C2×Q8—1721no—
1322C2×Q8—1721no—
1323C2×Q8C23×D4311yescharacteristic
1324C2×Q8C23×D4311yescharacteristic
1325C2×Q8C23×D4311yescharacteristic
1326C2×D4—21no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4C23×D4311yescharacteristic
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—431no—
1346C22×C4—431no—
1347C22×C4—431no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4C23×D4311yescharacteristic
1354Q16—41no—
1355Q16—41no—
1356Q16—1721no—
1357Q16—1721no—
1358Q16—1721no—
1359Q16—1721no—
1360Q16—1721no—
1361Q16—1721no—
1362SD16—41no—
1363SD16—41no—
1364SD16—1721no—
1365SD16—1721no—
1366SD16—1721no—
1367SD16—1721no—
1368SD16—1721no—
1369SD16—1721no—
1370M16—1721no—
1371M16—1721no—
1372C2×C8—431no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—1721no—
1377C2×C8—1721no—
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C2×C8C23×D4311yescharacteristic
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
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⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4D4×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C4⋊C4C23×D4311yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
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—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4D4×D4311yescharacteristic
1477C22⋊C4D4×D4311yescharacteristic
1478C42—21no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—431no—
1485C42—431no—
1486C42—431no—
1487C42—431no—
1488C42—431no—
1489C42—431no—
1490C42—431no—
1491C42—431no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42C23×D4311yescharacteristic
1503C42C23×D4311yescharacteristic
1504C23—21no—
1505C23—431no—
1506C23—431no—
1507C23—861no—
1508C23—3441no—
1509C23—3441no—
1510C23—1722no—
1511C23C2×D4×D4311yescharacteristic
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—42no—
1519Q8—81no—
1520Q8—861no—
1521Q8—861no—
1522Q8—861no—
1523Q8—861no—
1524Q8—861no—
1525Q8—861no—
1526Q8—3441no—
1527Q8—1721no—
1528Q8—1722no—
1529Q8—1722no—
1530Q8—1722no—
1531Q8—1722no—
1532D4—21no—
1533D4—21no—
1534D4—81no—
1535D4—861no—
1536D4—861no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—1721no—
1541D4—1721no—
1542D4—1721no—
1543D4—1722no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—42no—
1554C2×C4—81no—
1555C2×C4—431no—
1556C2×C4—431no—
1557C2×C4—431no—
1558C2×C4—431no—
1559C2×C4—431no—
1560C2×C4—431no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—3441no—
1573C2×C4—3441no—
1574C2×C4—3441no—
1575C2×C4—1721no—
1576C2×C4—1721no—
1577C2×C4—1721no—
1578C2×C4—1721no—
1579C2×C4—1722no—
1580C2×C4—1721no—
1581C2×C4—1721no—
1582C2×C4—1722no—
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C2×D4×D4311yescharacteristic
1586C2×C4C2×D4×D4311yescharacteristic
1587C2×C4C2×D4×D4311yescharacteristic
1588C2×C4C24×D4311yescharacteristic
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—861no—
1594C8—861no—
1595C8—861no—
1596C8—861no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—861no—
1604C22—861no—
1605C22—861no—
1606C22—861no—
1607C22—861no—
1608C22—861no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—6882no—
1613C22C22×D4×D4311yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—861no—
1631C4—861no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4—1721no—
1639C4#1458373511yescharacteristic
1640C4#1458373511yescharacteristic
1641C2—41no—
1642C2—81no—
1643C2—3441no—
1644C2—1721no—
1645C2—1721no—
1646C2#1914792511yescharacteristic
1647C2#1914937711yescharacteristic
1648C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3121C2
socleC22×C43C23×D4
prime radical#14583465C22
hypercenter#3121D43
hypocenterC43#61018
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3121

Complements

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

NH ≅ G/Ntype
2. #19148476C2semidirect
3. #19146028C2semidirect
4. #19146026C2semidirect
5. #19146020C2semidirect
6. #19146018C2semidirect
7. #19145839C2semidirect
8. #19145833C2semidirect
9. #19145808C2semidirect
10. #19145807C2semidirect
11. #19145625C2semidirect
12. #19145620C2semidirect
13. #19145596C2semidirect
14. #19145596C2semidirect
15. #19145489C2semidirect
16. #19145488C2semidirect
19. #19145302C2semidirect
20. #19145300C2semidirect
21. #19145199C2semidirect
22. #19145197C2semidirect
23. #19144894C2semidirect
24. #19144892C2semidirect
25. #19144846C2semidirect
26. #19144844C2semidirect
27. #19144826C2semidirect
28. #19144824C2semidirect
29. #19144818C2semidirect
30. #19143243C2semidirect
31. C43×#3121C2semidirect
53. #14583507C22semidirect
54. #14583507C22semidirect
62. #14583453C22semidirect
63. #14583453C22semidirect
64. #14583452C22semidirect
65. C2×#13063323C22semidirect
71. #14583376C22semidirect
75. #14583307C22semidirect
76. #14583307C22semidirect
77. #14583306C22semidirect
78. #14583306C22semidirect
83. #14583266C22semidirect
84. #14583266C22semidirect
85. #14583266C22semidirect
86. #14583266C22semidirect
95. #14583241C22semidirect
96. #14583240C22semidirect
101. #14583237C22semidirect
105. #14583209C22semidirect
106. #14583208C22semidirect
107. #14583205C22semidirect
108. #14583204C22semidirect
113. #14583195C22semidirect
114. #14583194C22semidirect
115. #14583191C22semidirect
116. #14583185C22semidirect
117. #14583184C22semidirect
118. #14583181C22semidirect
119. #14583158C22semidirect
120. #14583156C22semidirect
121. #14583156C22semidirect
122. #14583154C22semidirect
127. #14583141C22semidirect
128. #14583139C22semidirect
129. #14583139C22semidirect
130. #14583137C22semidirect
141. #14583108C22semidirect
142. #14583108C22semidirect
143. #14583107C22semidirect
144. #14583107C22semidirect
149. #14583057C22semidirect
152. #14583055C22semidirect
153. #14583054C22semidirect
163. #14583007C22semidirect
164. #14583004C22semidirect
165. #14583004C22semidirect
169. C4×Dic172C22semidirect
170. C4×#10621885C22semidirect
171. C4×#10621885C22semidirect
176. #14582960C22semidirect
180. #14582953C22semidirect
181. #14582953C22semidirect
182. #14582924C22semidirect
183. #14582924C22semidirect
186. C4×#10621872C22semidirect
187. #97×D43C22semidirect
189. C43×#519C22semidirect
190. C43×#485C22semidirect
192. C43×#477C22semidirect
193. C43×#475C22semidirect
196. C43×#451C22semidirect
198. C43×#441C22semidirect
200. C4×Q16×C43C22semidirect
202. C43×#433C22semidirect
846. #3121D43semidirect
898. #519C2×D43semidirect
928. #485C2×D43semidirect
944. #477C2×D43semidirect
948. #475C2×D43semidirect
988. #451C2×D43semidirect
1000. #441C2×D43semidirect
1008. C4×Q16C2×D43semidirect
1016. #433C2×D43semidirect
1027. C43#61018semidirect

Maximal subgroups

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

subgroupindex
#191484872
#191484762
#191460282
#191460262
#191460202
#191460182
#191458392
#191458332
#191458082
#191458072
#191456252
#191456202
#191455962
#191454892
#191454882
#191454692
#191454652
#191453022
#191453002
#191451992
#191451972
#191448942
#191448922
#191448462
#191448442
#191448262
#191448242
#191448182
#191432432
C43×#31212
#6101843