Finite Group Databasebeta

← #25993796

Subgroups — #25993796

Order 11008.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149084C211yesmaximal, characteristic, complemented
2#19148699C211yesmaximal, characteristic
3#19147564C211yesmaximal, characteristic, complemented
4#19147523C211yesmaximal, characteristic, complemented
5#19147357C211yesmaximal, characteristic, complemented
6#19147145C211yesmaximal, characteristic, complemented
7#19147122C211yesmaximal, characteristic, complemented
8#19147115C211yesmaximal, characteristic, complemented
9#19147077C211yesmaximal, characteristic, complemented
10#19147005C211yesmaximal, characteristic, complemented
11#19146965C211yesmaximal, characteristic, complemented
12#19146728C211yesmaximal, characteristic, complemented
13#19146705C211yesmaximal, characteristic, complemented
14#19146668C211yesmaximal, characteristic, complemented
15#19146660C211yesmaximal, characteristic, complemented
16#19146533C211yesmaximal, characteristic, complemented
17#19146489C211yesmaximal, characteristic, complemented
18#19146039C211yesmaximal, characteristic, complemented
19#19146026C211yesmaximal, characteristic, complemented
20#19145929C211yesmaximal, characteristic, complemented
21#19145888C211yesmaximal, characteristic, complemented
22#19145841C211yesmaximal, characteristic, complemented
23#19145830C211yesmaximal, characteristic, complemented
24#19144892C211yesmaximal, characteristic, complemented
25#19144813C211yesmaximal, characteristic, complemented
26#19144753C211yesmaximal, characteristic, complemented
27#19144441C211yesmaximal, characteristic, complemented
28#19144432C211yesmaximal, characteristic, complemented
29#19144376C211yesmaximal, characteristic, complemented
30#19143733C211yesmaximal, characteristic, complemented
31C43×#3375C211yesmaximal, characteristic, complemented
32#14583648—21no—
33#14583648—21no—
34#14583633—21no—
35#14583627C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583624—21no—
38#14583623C2211yescharacteristic
39#14583623C2211yescharacteristic
40#14583622C2211yescharacteristic
41#14583621—21no—
42#14583614C2211yescharacteristic
43#14583611—21no—
44#14583610C2211yescharacteristic
45#14583599C2211yescharacteristic
46#14583598—21no—
47#14583590C2211yescharacteristic
48#14583590C2211yescharacteristic
49#14583590C2211yescharacteristic
50#14583586—21no—
51#14583569C2211yescharacteristic
52#14583557C2211yescharacteristic
53#14583557C2211yescharacteristic
54#14583526C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583523—21no—
57#14583518C2211yescharacteristic
58#14583513—21no—
59#14583510—21no—
60#14583510—21no—
61#14583507—21no—
62#14583507C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583503C2211yescharacteristic
65#14583501—21no—
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583436C2211yescharacteristic
69#14583429—21no—
70#14583428C2211yescharacteristic
71#14583426—21no—
72#14583378C2211yescharacteristic
73#14583375C2211yescharacteristic
74C4×#10621900C2211yescharacteristic
75#14583308C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583305C2211yescharacteristic
78#14583305C2211yescharacteristic
79#14583301C2211yescharacteristic
80#14583295C2211yescharacteristic
81#14583263C2211yescharacteristic
82#14583258C2211yescharacteristic
83#14583253C2211yescharacteristic
84#14583242C2211yescharacteristic
85#14583242C2211yescharacteristic
86#14583239C2211yescharacteristic
87#14583239C2211yescharacteristic
88#14583238C2211yescharacteristic
89#14583238C2211yescharacteristic
90#14583238C2211yescharacteristic
91#14583236C2211yescharacteristic
92#14583228C2211yescharacteristic
93#14583228C2211yescharacteristic
94#14583222C2211yescharacteristic
95#14583221C2211yescharacteristic
96#14583221C2211yescharacteristic
97#14583221C2211yescharacteristic
98#14583221C2211yescharacteristic
99#14583216C2211yescharacteristic
100#14583216C2211yescharacteristic
101#14583211C2211yescharacteristic
102#14583208C2211yescharacteristic
103#14583208C2211yescharacteristic
104#14583207C2211yescharacteristic
105#14583207C2211yescharacteristic
106#14583207C2211yescharacteristic
107#14583207C2211yescharacteristic
108#14583206C2211yescharacteristic
109#14583206C2211yescharacteristic
110#14583206C2211yescharacteristic
111#14583205C2211yescharacteristic
112#14583205C2211yescharacteristic
113#14583201C2211yescharacteristic
114#14583201C2211yescharacteristic
115#14583199C2211yescharacteristic
116#14583197C2211yescharacteristic
117#14583197C2211yescharacteristic
118#14583195C2211yescharacteristic
119#14583195C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583191C2211yescharacteristic
122#14583189C2211yescharacteristic
123#14583187C2211yescharacteristic
124#14583184C2211yescharacteristic
125#14583182C2211yescharacteristic
126#14583181C2211yescharacteristic
127#14583181C2211yescharacteristic
128#14583177C2211yescharacteristic
129#14583156C2211yescharacteristic
130#14583144C2211yescharacteristic
131#14583142C2211yescharacteristic
132#14583142C2211yescharacteristic
133#14583139C2211yescharacteristic
134#14583137C2211yescharacteristic
135#14583137C2211yescharacteristic
136#14583127C2211yescharacteristic
137#14583127C2211yescharacteristic
138#14583127C2211yescharacteristic
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic
141#14583118C2211yescharacteristic
142#14583118C2211yescharacteristic
143#14583108C2211yescharacteristic
144#14583107C2211yescharacteristic
145#14583102C2211yescharacteristic
146#14583102C2211yescharacteristic
147#14583096C2211yescharacteristic
148#14583062C2211yescharacteristic
149#14583062C2211yescharacteristic
150#14583058C2211yescharacteristic
151#14583058C2211yescharacteristic
152#14583056C2211yescharacteristic
153#14583053C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583007C2211yescharacteristic
156#14583007C2211yescharacteristic
157#14583004C2211yescharacteristic
158#14583004C2211yescharacteristic
159#14583004C2211yescharacteristic
160#14582999C2211yescharacteristic
161C4×Dic172C2211yescharacteristic
162C4×#10621885C2211yescharacteristic
163C4×#10621883C2211yescharacteristic
164#14582972C2211yescharacteristic
165#14582972C2211yescharacteristic
166#14582969C2211yescharacteristic
167#14582969C2211yescharacteristic
168C8×D172C2211yescharacteristic
169#14582964C2211yescharacteristic
170#14582961C2211yescharacteristic
171#14582958C2211yescharacteristic
172#14582954C2211yescharacteristic
173#14582940C2211yescharacteristic
174#14582940C2211yescharacteristic
175#14582936C2211yescharacteristic
176#14582936C2211yescharacteristic
177#14582936C2211yescharacteristic
178#107×D43C2211yescharacteristic
179#14582924C2211yescharacteristic
180#14582924C2211yescharacteristic
181C4⋊C8×D43C2211yescharacteristic
182#14582906C2211yescharacteristic
183#14582897C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582892C2211yescharacteristic
186#14582892C2211yescharacteristic
187#103×D43C2211yescharacteristic
188C43×#559C2211yescharacteristic
189Q82×C43C2211yescharacteristic
190C43×#489C2211yescharacteristic
191C43×#489C2211yescharacteristic
192C43×#486C2211yescharacteristic
193C43×#477C2211yescharacteristic
194C43×#474C2211yescharacteristic
195C43×#474C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621872C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×C8×D43C2311yescharacteristic
214C2×C8×D43C2311yescharacteristic
215C2×C8×D43C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217#13063325C2311yescharacteristic
218#13063325C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063323—21no—
221#13063323—21no—
222#13063323—21no—
223#13063323—21no—
224#13063323C2311yescharacteristic
225#13063321—21no—
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320D411yescharacteristic
235#13063320D411yescharacteristic
236#13063319—21no—
237#13063319—21no—
238#13063319—21no—
239#13063319—21no—
240#13063319—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063317—21no—
245#13063317—21no—
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316D411yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063314—21no—
267#13063314—21no—
268#13063314D411yescharacteristic
269#13063313—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310D411yescharacteristic
279#13063310D411yescharacteristic
280#13063309—21no—
281#13063308—21no—
282#13063307—21no—
283#13063306—21no—
284#13063306—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301D411yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063301C2311yescharacteristic
306#13063300D411yescharacteristic
307#13063299—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063296C2311yescharacteristic
319Q8×Dic43—21no—
320Q8×Dic43—21no—
321Q8×Dic43—21no—
322Q8×Dic43C2311yescharacteristic
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43—21no—
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063284—21no—
353#13063283—21no—
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×C4×Dic43—21no—
375C42×D43C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399C4⋊(C43⋊C8)C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063236C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43—21no—
440C4⋊Q8×C43—21no—
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C22×Dic43—21no—
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43—21no—
500Q8×D43—22no—
501Q8×D43—41no—
502#10621900—22no—
503#10621900—22no—
504#10621900—41no—
505#10621900—41no—
506C2×D172C2×D411yescharacteristic
507C2×D172C2×D411yescharacteristic
508C2×D172C2×D411yescharacteristic
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43C2×D411yescharacteristic
514C2×C4×D43C2×D411yescharacteristic
515C2×C4×D43C2411yescharacteristic
516C2×C4×D43C2411yescharacteristic
517C2×C4×D43C2411yescharacteristic
518C2×Dic86—21no—
519C2×Dic86—21no—
520C2×Dic86—21no—
521C2×Dic86—21no—
522C2×Dic86C2411yescharacteristic
523C2×Dic86C2411yescharacteristic
524Q16×C43—41no—
525SD16×C43—41no—
526SD16×C43—41no—
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×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C22⋊C4×C43—21no—
551C42×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564#10621885—22no—
565#10621885—41no—
566#10621883—41no—
567#10621883—41no—
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)⋊C4C2×D411yescharacteristic
583(C2×D43)⋊C4C2×D411yescharacteristic
584(C2×D43)⋊C4C2×D411yescharacteristic
585(C2×D43)⋊C4C2×D411yescharacteristic
586(C2×D43)⋊C4C2×D411yescharacteristic
587(C2×D43)⋊C4C2×D411yescharacteristic
588(C2×D43)⋊C4C2×D411yescharacteristic
589(C2×D43)⋊C4C2×D411yescharacteristic
590(C2×D43)⋊C4C2×D411yescharacteristic
591(C2×D43)⋊C4C2×D411yescharacteristic
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43C2×D411yescharacteristic
601C4⋊Dic43C2×D411yescharacteristic
602C4⋊Dic43C2×D411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605C4⋊Dic43C2411yescharacteristic
606C4⋊Dic43C2411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641C4×Dic43—21no—
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×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662Dic172—22no—
663#10621872—41no—
664#10621872—41no—
665C8×D43—41no—
666C8×D43—41no—
667C8×D43—41no—
668C8×D43—41no—
669C23×C43—21no—
670C23×C43—21no—
671C22×D43C22×D411yescharacteristic
672C22×D43C22×D411yescharacteristic
673C22×D43C22×D411yescharacteristic
674Q8×C43—21no—
675Q8×C43—21no—
676Q8×C43—21no—
677Q8×C43—21no—
678Q8×C43—41no—
679Q8×C43—81no—
680Q8×C43—81no—
681Q8×C43—81no—
682D4×C43—21no—
683D4×C43—21no—
684D4×C43—21no—
685D4×C43—21no—
686D4×C43—81no—
687D4×C43—81no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—81no—
695C2×C4×C43—81no—
696C2×C4×C43C22×D411yescharacteristic
697C2×C4×C43C22×D411yescharacteristic
698C2×C4×C43C22×D411yescharacteristic
699C2×C4×C43C22×D411yescharacteristic
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C2511yescharacteristic
703C22⋊D43—42no—
704C22⋊D43—42no—
705C22⋊D43—81no—
706C22⋊D43—81no—
707C22⋊D43—81no—
708C22⋊D43—81no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—42no—
718C2×Dic43—42no—
719C2×Dic43—81no—
720C2×Dic43—81no—
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726D172—41no—
727D172—41no—
728D172—41no—
729C4×D43—21no—
730C4×D43—21no—
731C4×D43—21no—
732C4×D43—21no—
733C4×D43—21no—
734C4×D43—21no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—42no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741Dic86—21no—
742Dic86—21no—
743Dic86—21no—
744Dic86—42no—
745Dic86—42no—
746Dic86—81no—
747Dic86—81no—
748Dic862−1+412yes—
749C8×C43—21no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C43⋊C8—21no—
754C43⋊C8—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757#62174—431nomaximal, Sylow
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43C23×D411yescharacteristic
765C2×D43—21no—
766C2×D43—21no—
767C2×D43—21no—
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—21no—
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
774C4×C43—21no—
775C4×C43—21no—
776C4×C43—21no—
777C4×C43—21no—
778C4×C43—21no—
779C4×C43—21no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43C2×2−1+411yescharacteristic
787C4×C43#58511yescharacteristic
788Dic43—21no—
789Dic43—21no—
790Dic43—22no—
791Dic43—21no—
792Dic43—21no—
793Dic43—21no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43—41no—
799Dic43—41no—
800Dic43—41no—
801#3555—431no—
802#3524—431no—
803#3390—431no—
804#3387—431no—
805#3375D4311yescharacteristic, complemented
806#3371—431no—
807#3350—431no—
808#3349—431no—
809#3348—431no—
810#3346—431no—
811#3340—431no—
812#3336—431no—
813#3317—431no—
814#3316—431no—
815#3313—431no—
816#3313—431no—
817#3304—431no—
818#3300—431no—
819#3260—431no—
820#3258—431no—
821#3248—431no—
822#3244—431no—
823#3241—431no—
824#3240—431no—
825#3127—431no—
826#3120—431no—
827#3116—431no—
828#3083—431no—
829#3082—431no—
830#3076—431no—
831#2992—431no—
832C2×C43—81no—
833C2×C43—81no—
834C2×C43#348911yescharacteristic
835C2×C43#358411yescharacteristic
836C2×C43#358611yescharacteristic
837D43—41no—
838D43—41no—
839D43—41no—
840#563—861no—
841#563—861no—
842#559—861no—
843#559C2×D4311yescharacteristic
844Q82C2×D4311yescharacteristic
845#557—431no—
846#557—431no—
847#557—861no—
848#556—431no—
849#556—431no—
850#556—431no—
851#556—861no—
852#555—431no—
853#555—861no—
854#554—431no—
855#553—431no—
856#553—861no—
857#552—431no—
858#552—431no—
859#552—431no—
860#552—861no—
861#550—431no—
862#548—431no—
863#548—431no—
864#544—431no—
865#544—431no—
866#542—431no—
867#542—861no—
868#542—861no—
869#541—431no—
870#541—431no—
871#541—861no—
872#541—861no—
873#541—861no—
874#540—431no—
875#540—861no—
876#533—431no—
877#533—431no—
878#529—431no—
879#529—431no—
880#529—861no—
881#529—861no—
882#520—431no—
883#519—431no—
884C4×#41—431no—
885#501—431no—
886#501—431no—
887#501—431no—
888#501—431no—
889#499—431no—
890#498—431no—
891#490—431no—
892#489—431no—
893#489C2×D4311yescharacteristic
894#489C2×D4311yescharacteristic
895#488—431no—
896#486C2×D4311yescharacteristic
897#485—431no—
898#485—431no—
899#485—431no—
900#485—431no—
901#485—431no—
902#485—431no—
903#485—431no—
904#484—431no—
905#483—431no—
906#483—431no—
907#482—431no—
908#482—431no—
909#482—431no—
910#482—431no—
911#482—431no—
912#481—431no—
913#481—431no—
914#480—431no—
915#479—431no—
916#479—431no—
917#479—431no—
918#479—431no—
919#479—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#479—431no—
924#479—431no—
925#479—431no—
926#478—431no—
927#478—431no—
928#478—431no—
929#478—431no—
930#478—431no—
931#477—431no—
932#477—431no—
933#477—431no—
934#477—431no—
935#477C2×D4311yescharacteristic
936#476—431no—
937#476—431no—
938#475—431no—
939#475—431no—
940#475—431no—
941#475—431no—
942#474—431no—
943#474C2×D4311yescharacteristic
944#474C2×D4311yescharacteristic
945#470—431no—
946#468—431no—
947#468—431no—
948#468—431no—
949#467—431no—
950#467—431no—
951#467—431no—
952#465—431no—
953#465—431no—
954#465—431no—
955#465—431no—
956#465—431no—
957#464—431no—
958#464—431no—
959#464C2×D4311yescharacteristic
960#464C2×D4311yescharacteristic
961#462—431no—
962#462—431no—
963#461—431no—
964#461—431no—
965#460—431no—
966#460C2×D4311yescharacteristic
967#452—431no—
968#452—431no—
969#452—431no—
970#452—431no—
971#451—431no—
972#451—431no—
973#446—431no—
974#446C2×D4311yescharacteristic
975#441—431no—
976#441—431no—
977#441—431no—
978#441—431no—
979#441—431no—
980#440—431no—
981#440C2×D4311yescharacteristic
982#440C2×D4311yescharacteristic
983C4×Q16—431no—
984C4×Q16—431no—
985C4×Q16C2×D4311yescharacteristic
986C4×SD16—431no—
987#435—431no—
988#435—431no—
989#435—431no—
990#435—431no—
991C8×D4—431no—
992C8×D4—431no—
993#433—431no—
994#433—431no—
995#432—431no—
996#428—431no—
997#428—431no—
998#427—431no—
999#427—431no—
1000#427—431no—
1001C2×#107—431no—
1002#424—431no—
1003#424—431no—
1004C2×C4⋊C8—431no—
1005#419—431no—
1006#417—431no—
1007#416—431no—
1008#416—431no—
1009#416—431no—
1010C2×#103—431no—
1011C43#6217411yescharacteristic, complemented, Sylow
1012C2×#41—431no—
1013C2×#41—431no—
1014C22×Q8—431no—
1015C2×Q16—431no—
1016C2×Q16—431no—
1017C2×Q16—431no—
1018C2×Q16C22×D4311yescharacteristic
1019C2×SD16—431no—
1020C2×SD16—431no—
1021C2×SD16C22×D4311yescharacteristic
1022C2×SD16C22×D4311yescharacteristic
1023C2×M16—431no—
1024C2×M16—431no—
1025C22×C8—431no—
1026C22×C8—431no—
1027C22×C8—431no—
1028C22×C8—431no—
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—431no—
1033C4⋊Q8—431no—
1034C4⋊Q8—431no—
1035C4⋊Q8—431no—
1036C4⋊Q8—861no—
1037C4⋊Q8—861no—
1038C4⋊Q8—861no—
1039C4⋊Q8—861no—
1040C4⋊Q8C22×D4311yescharacteristic
1041C4⋊Q8C22×D4311yescharacteristic
1042C4⋊Q8C22×D4311yescharacteristic
1043#127—861no—
1044#127C22×D4311yescharacteristic
1045#126—431no—
1046#126—431no—
1047#126—861no—
1048#126—861no—
1049#126—861no—
1050#126—861no—
1051#126—861no—
1052#126—861no—
1053#126—861no—
1054#126—861no—
1055#126—861no—
1056#126—861no—
1057#126—861no—
1058#126—861no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#126—861no—
1063#125—431no—
1064#125—431no—
1065#125—431no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—861no—
1071#125—861no—
1072#125—861no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#124—21no—
1086#124—431no—
1087#124—861no—
1088#124—861no—
1089#124—861no—
1090#124—861no—
1091#124—861no—
1092#124—861no—
1093#124—861no—
1094#124—861no—
1095#124C22×D4311yescharacteristic
1096#124C22×D4311yescharacteristic
1097#123—21no—
1098#123—21no—
1099#123—431no—
1100#123—431no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130#121—431no—
1131#121—431no—
1132#121—431no—
1133#121—431no—
1134#121—431no—
1135#121—861no—
1136#121—861no—
1137#121—861no—
1138#121—861no—
1139#121—861no—
1140#121—861no—
1141#121—861no—
1142#121—861no—
1143C4×Q8—21no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—431no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8—861no—
1162C4×Q8C22×D4311yescharacteristic
1163C4×Q8C22×D4311yescharacteristic
1164C4×Q8C22×D4311yescharacteristic
1165C4×Q8C22×D4311yescharacteristic
1166C4×Q8C22×D4311yescharacteristic
1167C4×D4—21no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—431no—
1171C4×D4—431no—
1172C4×D4—431no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4C22×D4311yescharacteristic
1184C4×D4C22×D4311yescharacteristic
1185#117—431no—
1186#117—431no—
1187#117—431no—
1188#117—431no—
1189#117—431no—
1190#117—431no—
1191#117—431no—
1192#117—431no—
1193#117—861no—
1194#117—861no—
1195#117—861no—
1196#117—861no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203C2×C4⋊C4—431no—
1204C2×C4⋊C4—431no—
1205C2×C4⋊C4—431no—
1206C2×C4⋊C4—861no—
1207C2×C42—431no—
1208C2×C42—861no—
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#107C22×D4311yescharacteristic
1219#107C22×D4311yescharacteristic
1220#107C22×D4311yescharacteristic
1221#106—431no—
1222#106—431no—
1223#106—431no—
1224#106—431no—
1225#106—431no—
1226#106—431no—
1227#106—431no—
1228#106—431no—
1229#106—431no—
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233C4⋊C8—431no—
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8C22×D4311yescharacteristic
1241C4⋊C8C22×D4311yescharacteristic
1242C4⋊C8C22×D4311yescharacteristic
1243#103—431no—
1244#103—431no—
1245#103—431no—
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103C22×D4311yescharacteristic
1260#103C22×D4311yescharacteristic
1261#103C22×D4311yescharacteristic
1262#103C22×D4311yescharacteristic
1263#102—431no—
1264#102—431no—
1265#102—431no—
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102C22×D4311yescharacteristic
1270#102C22×D4311yescharacteristic
1271#102C22×D4311yescharacteristic
1272#102C22×D4311yescharacteristic
1273#102C22×D4311yescharacteristic
1274#102C22×D4311yescharacteristic
1275C22⋊C8—431no—
1276C22⋊C8—431no—
1277C22⋊C8—431no—
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281#97—431no—
1282#97—431no—
1283#97C22×D4311yescharacteristic
1284#97C22×D4311yescharacteristic
1285C4×C8—431no—
1286C4×C8C22×D4311yescharacteristic
1287#41—862no—
1288#41—862no—
1289#41—1721no—
1290#41—1721no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—431no—
1295C2×Q8—431no—
1296C2×Q8—861no—
1297C2×Q8—861no—
1298C2×Q8—861no—
1299C2×Q8—861no—
1300C2×Q8—862no—
1301C2×Q8—1721no—
1302C2×Q8D4×D4311yescharacteristic
1303C2×Q8C23×D4311yescharacteristic
1304C2×Q8C23×D4311yescharacteristic
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—431no—
1308C2×D4—431no—
1309C2×D4—431no—
1310C2×D4—861no—
1311C2×D4—861no—
1312C2×D4—861no—
1313C2×D4—861no—
1314C2×D4—861no—
1315C2×D4—861no—
1316C2×D4C23×D4311yescharacteristic
1317C2×D4C23×D4311yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—861no—
1326C22×C4—861no—
1327C22×C4—861no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333Q16—41no—
1334Q16—862no—
1335Q16—862no—
1336Q16—1721no—
1337SD16—41no—
1338SD16—41no—
1339SD16—1721no—
1340SD16—1721no—
1341M16—1721no—
1342M16—1721no—
1343C2×C8—431no—
1344C2×C8—431no—
1345C2×C8—431no—
1346C2×C8—431no—
1347C2×C8—1721no—
1348C2×C8—1721no—
1349C2×C8—1721no—
1350C2×C8—1721no—
1351C2×C8C23×D4311yescharacteristic
1352C2×C8C23×D4311yescharacteristic
1353C2×C8C23×D4311yescharacteristic
1354C2×C8C23×D4311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—431no—
1363C4⋊C4—431no—
1364C4⋊C4—431no—
1365C4⋊C4—431no—
1366C4⋊C4—431no—
1367C4⋊C4—431no—
1368C4⋊C4—431no—
1369C4⋊C4—431no—
1370C4⋊C4—431no—
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
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⋊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⋊C4D4×D4311yescharacteristic
1412C4⋊C4D4×D4311yescharacteristic
1413C4⋊C4D4×D4311yescharacteristic
1414C4⋊C4C23×D4311yescharacteristic
1415C4⋊C4C23×D4311yescharacteristic
1416C4⋊C4C23×D4311yescharacteristic
1417C4⋊C4C23×D4311yescharacteristic
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—431no—
1425C22⋊C4—431no—
1426C22⋊C4—431no—
1427C22⋊C4—431no—
1428C22⋊C4—431no—
1429C22⋊C4—431no—
1430C22⋊C4—431no—
1431C22⋊C4—431no—
1432C22⋊C4—431no—
1433C22⋊C4—431no—
1434C22⋊C4—861no—
1435C22⋊C4—861no—
1436C22⋊C4—861no—
1437C22⋊C4—861no—
1438C22⋊C4—861no—
1439C22⋊C4—861no—
1440C22⋊C4—861no—
1441C22⋊C4—861no—
1442C22⋊C4—861no—
1443C22⋊C4—861no—
1444C22⋊C4—861no—
1445C22⋊C4—861no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—431no—
1459C42—431no—
1460C42—431no—
1461C42—861no—
1462C42—861no—
1463C42—861no—
1464C42—861no—
1465C42—861no—
1466C42—861no—
1467C42—861no—
1468C42—861no—
1469C42—861no—
1470C42—861no—
1471C42—861no—
1472C42—861no—
1473C42—861no—
1474C42—861no—
1475C42C23×D4311yescharacteristic
1476C42C23×D4311yescharacteristic
1477C42C23×D4311yescharacteristic
1478C23—21no—
1479C23—21no—
1480C23—431no—
1481C23—431no—
1482C23—431no—
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—41no—
1488Q8—81no—
1489Q8—81no—
1490Q8—81no—
1491Q8—432no—
1492Q8—861no—
1493Q8—861no—
1494Q8—861no—
1495Q8—3441no—
1496Q8—3441no—
1497Q8—1722no—
1498Q8—1722no—
1499D4—21no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—81no—
1504D4—81no—
1505D4—3441no—
1506D4—3441no—
1507D4—3441no—
1508D4—3441no—
1509D4—1721no—
1510D4—1721no—
1511D4—1721no—
1512D4—1722no—
1513D4—1722no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—431no—
1526C2×C4—431no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—3441no—
1542C2×C4—3441no—
1543C2×C4—3441no—
1544C2×C4—3441no—
1545C2×C4—3441no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4—1722no—
1549C2×C4—1722no—
1550C2×C4—1722no—
1551C2×C4C2×D4×D4311yescharacteristic
1552C2×C4C2×D4×D4311yescharacteristic
1553C2×C4C2×D4×D4311yescharacteristic
1554C2×C4C2×D4×D4311yescharacteristic
1555C2×C4C2×D4×D4311yescharacteristic
1556C2×C4C2×D4×D4311yescharacteristic
1557C2×C4C24×D4311yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—861no—
1563C8—861no—
1564C8—861no—
1565C8—861no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—861no—
1573C22—861no—
1574C22—861no—
1575C22—861no—
1576C22—861no—
1577C22—861no—
1578C22—861no—
1579C22—861no—
1580C22—861no—
1581C22C22×D4×D4311yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—861no—
1595C4—861no—
1596C4—861no—
1597C4—861no—
1598C4—861no—
1599C4—862no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C42−1+4×D4311yescharacteristic
1608C4#1458373511yescharacteristic
1609C2—81no—
1610C2—81no—
1611C2—1721no—
1612C2—1721no—
1613C2—1721no—
1614C2#1914827411yescharacteristic
1615C2#1914936311yescharacteristic
1616C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3375C2
socleC22×C43C23×D4
prime radical#19148699C2
hypercenter#3375D43
hypocenterC43#62174
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #19149084C2semidirect
3. #19147564C2semidirect
4. #19147523C2semidirect
5. #19147357C2semidirect
6. #19147145C2semidirect
7. #19147122C2semidirect
8. #19147115C2semidirect
9. #19147077C2semidirect
10. #19147005C2semidirect
11. #19146965C2semidirect
12. #19146728C2semidirect
13. #19146705C2semidirect
14. #19146668C2semidirect
15. #19146660C2semidirect
16. #19146533C2semidirect
17. #19146489C2semidirect
18. #19146039C2semidirect
19. #19146026C2semidirect
20. #19145929C2semidirect
21. #19145888C2semidirect
22. #19145841C2semidirect
23. #19145830C2semidirect
24. #19144892C2semidirect
25. #19144813C2semidirect
26. #19144753C2semidirect
27. #19144441C2semidirect
28. #19144432C2semidirect
29. #19144376C2semidirect
30. #19143733C2semidirect
31. C43×#3375C2semidirect
805. #3375D43semidirect
1011. C43#62174semidirect

Maximal subgroups

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

subgroupindex
#191490842
#191486992
#191475642
#191475232
#191473572
#191471452
#191471222
#191471152
#191470772
#191470052
#191469652
#191467282
#191467052
#191466682
#191466602
#191465332
#191464892
#191460392
#191460262
#191459292
#191458882
#191458412
#191458302
#191448922
#191448132
#191447532
#191444412
#191444322
#191443762
#191437332
C43×#33752
#6217443