Finite Group Databasebeta

← #25979699

Subgroups — #25979699

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148613C211yesmaximal, characteristic, complemented
2#19148534C211yesmaximal, characteristic, complemented
3#19147655C211yesmaximal, characteristic, complemented
4#19147501C211yesmaximal, characteristic, complemented
5#19147424C211yesmaximal, characteristic, complemented
6#19147176C211yesmaximal, characteristic, complemented
7#19147122C211yesmaximal, characteristic, complemented
8#19147102C211yesmaximal, characteristic, complemented
9#19146868C211yesmaximal, characteristic, complemented
10#19146825C211yesmaximal, characteristic, complemented
11#19146771C211yesmaximal, characteristic, complemented
12#19146750C211yesmaximal, characteristic, complemented
13#19146630C211yesmaximal, characteristic, complemented
14#19146591C211yesmaximal, characteristic, complemented
15#19146221C211yesmaximal, characteristic, complemented
16#19146100C211yesmaximal, characteristic, complemented
17#19146085C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145233C211yesmaximal, characteristic, complemented
20#19145204C211yesmaximal, characteristic, complemented
21#19144884C211yesmaximal, characteristic, complemented
22#19144864C211yesmaximal, characteristic, complemented
23#19144821C211yesmaximal, characteristic, complemented
24#19144786C211yesmaximal, characteristic, complemented
25#19144703C211yesmaximal, characteristic, complemented
26#19144696C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3375C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583623—21no—
36#14583623—21no—
37#14583623C2211yescharacteristic
38#14583623C2211yescharacteristic, complemented
39#14583622—21no—
40#14583622C2211yescharacteristic, complemented
41#14583615—21no—
42#14583615C2211yescharacteristic, complemented
43#14583609C2211yescharacteristic
44#14583599C2211yescharacteristic
45#14583594—21no—
46#14583590C2211yescharacteristic
47#14583579—21no—
48#14583578—21no—
49Q8×D172C2211yescharacteristic, complemented
50#14583561C2211yescharacteristic
51#14583561C2211yescharacteristic, complemented
52#14583554C2211yescharacteristic
53#14583542C2211yescharacteristic
54#14583542C2211yescharacteristic
55#14583541—21no—
56#14583534C2211yescharacteristic
57#14583523—21no—
58#14583523—21no—
59#14583523C2211yescharacteristic, complemented
60#14583523C2211yescharacteristic, complemented
61#14583518C2211yescharacteristic
62#14583503C2211yescharacteristic
63#14583492—21no—
64#14583483—21no—
65#14583454—21no—
66#14583454C2211yescharacteristic, complemented
67#14583436—21no—
68#14583436C2211yescharacteristic
69#14583428C2211yescharacteristic
70#14583408—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583375C2211yescharacteristic, complemented
74#14583375C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583305C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583302C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic
83#14583281C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583254C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic
95#14583222C2211yescharacteristic
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583206C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583194C2211yescharacteristic, complemented
104#14583186C2211yescharacteristic
105#14583185C2211yescharacteristic, complemented
106#14583176C2211yescharacteristic
107#14583176C2211yescharacteristic
108#14583156C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583148C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic
113#14583144C2211yescharacteristic
114#14583144C2211yescharacteristic
115#14583144C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic
118#14583134C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic
123#14583115C2211yescharacteristic
124#14583114C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic, complemented
126#14583105C2211yescharacteristic
127#14583104C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic
129#14583064C2211yescharacteristic
130#14583060C2211yescharacteristic, complemented
131#14583053C2211yescharacteristic, complemented
132#14583051C2211yescharacteristic
133#14583051C2211yescharacteristic
134#14583051C2211yescharacteristic
135#14583047C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583036C2211yescharacteristic
138#14583036C2211yescharacteristic, complemented
139#14583036C2211yescharacteristic, complemented
140#14583034C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic
143#14583009C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145#14583006C2211yescharacteristic, complemented
146#14583004C2211yescharacteristic, complemented
147#14583002C2211yescharacteristic, complemented
148#14583001C2211yescharacteristic
149#14583000C2211yescharacteristic, complemented
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582997C2211yescharacteristic
153#14582997C2211yescharacteristic
154#14582996C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic, complemented
162C4×#10621884C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic
165#14582981C2211yescharacteristic
166#14582979C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#559C2211yescharacteristic
189Q82×C43C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic
193C43×#477C2211yescharacteristic, complemented
194C43×#474C2211yescharacteristic, complemented
195C43×#474C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#464C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063357—24no—
213#13063352—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224SD16×D43—24no—
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325—21no—
235#13063325C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063320D411yescharacteristic
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063317C2311yescharacteristic
252#13063317C2311yescharacteristic
253#13063316—21no—
254#13063316D411yescharacteristic
255#13063315—21no—
256#13063314—21no—
257#13063314—21no—
258#13063314—21no—
259#13063314—21no—
260#13063314—21no—
261#13063314—21no—
262#13063314D411yescharacteristic
263#13063313—21no—
264#13063313—21no—
265#13063313C2311yescharacteristic
266#13063313C2311yescharacteristic
267#13063311—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310D411yescharacteristic
272#13063310D411yescharacteristic
273#13063309—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063306—21no—
281#13063306—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063301—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301D411yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300D411yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063297—21no—
312#13063297—21no—
313#13063296—21no—
314#13063296C2311yescharacteristic
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063296C2311yescharacteristic
318#13063295—21no—
319#13063295—21no—
320#13063293—21no—
321#13063293—21no—
322Q8×Dic43—21no—
323Q8×Dic43—21no—
324Q8×Dic43—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290—21no—
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172—21no—
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349#13063287—21no—
350#13063287—21no—
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374#13063282C2311yescharacteristic
375#13063281—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C42×D43—21no—
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C4⋊Q8×C43—21no—
442C4⋊Q8×C43—21no—
443C4⋊Q8×C43—21no—
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#124×C43C2311yescharacteristic
451#123×C43—21no—
452#123×C43—21no—
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2×D411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503#10621902—22no—
504#10621902—22no—
505#10621902—41no—
506#10621902—41no—
507Q8×D43—22no—
508Q8×D43—22no—
509Q8×D43—41no—
510Q8×D43—41no—
511D4×D43—22no—
512D4×D43—22no—
513D4×D43—41no—
514D4×D43—41no—
515D4×D43—82no—
516#10621898—82no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172C2×D411yescharacteristic
522C2×D172C2×D411yescharacteristic
523C2×D172C2×D411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—82no—
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550SD16×C43—22no—
551SD16×C43—22no—
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43C2411yescharacteristic
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589#10621885—22no—
590#10621885—41no—
591#10621884—41no—
592#10621884#4114yescomplemented
593#10621883—22no—
594#10621883—41no—
595#10621883—41no—
596#10621883—41no—
597#10621882—22no—
598#10621882—41no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680D344—22no—
681#10621873—22no—
682#10621873—22no—
683#10621872—22no—
684#10621872—22no—
685#10621872—41no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43C22×D411yescharacteristic
700C22×D43C22×D411yescharacteristic
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—41no—
706Q8×C43—81no—
707Q8×C43—81no—
708Q8×C43—81no—
709Q8×C43C2×#4112yes—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—81no—
715D4×C43—81no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C2511yescharacteristic
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—81no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—81no—
744C2×Dic43—81no—
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750D172—21no—
751D172—21no—
752D172—21no—
753D172—41no—
754D172—41no—
755D172—41no—
756D172—42no—
757D172—42no—
758D172—81no—
759D172—81no—
760D172C2×#4112yes—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—21no—
767C4×D43—41no—
768C4×D43—41no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—42no—
786Dic86—42no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61503—431nomaximal, Sylow
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—22no—
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—21no—
827C4×C43—22no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43#58511yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375D4311yescharacteristic, complemented
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—81no—
878C2×C43—81no—
879C2×C43D4×#4111yescharacteristic
880C2×C43#358511yescharacteristic
881C2×C43#358611yescharacteristic
882D43—41no—
883D43—41no—
884D43—41no—
885D43—42no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559C2×D4311yescharacteristic
891Q82C2×D4311yescharacteristic, complemented
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#542—861no—
919#540—431no—
920#539—861no—
921#538—861no—
922#533—431no—
923#533—861no—
924#529—431no—
925#529—431no—
926#529—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489C2×D4311yescharacteristic, complemented
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#486C2×D4311yescharacteristic
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477C2×D4311yescharacteristic, complemented
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474C2×D4311yescharacteristic, complemented
970#474C2×D4311yescharacteristic, complemented
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464C2×D4311yescharacteristic, complemented
986#464C2×D4311yescharacteristic, complemented
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460C2×D4311yescharacteristic
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446C2×D4311yescharacteristic, complemented
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440C2×D4311yescharacteristic, complemented
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—864no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—21no—
1094C4⋊Q8—21no—
1095C4⋊Q8—21no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—861no—
1099C4⋊Q8C22×D4311yescharacteristic
1100C4⋊Q8C22×D4311yescharacteristic
1101C4⋊Q8C22×D4311yescharacteristic
1102#127C22×D4311yescharacteristic
1103#126—431no—
1104#126—431no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#125—431no—
1118#125—431no—
1119#125—431no—
1120#125—861no—
1121#125—861no—
1122#124—21no—
1123#124—431no—
1124#124—431no—
1125#124—431no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124C22×D4311yescharacteristic
1136#124C22×D4311yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—431no—
1140#123—431no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8C22×D4311yescharacteristic
1208C4×Q8C22×D4311yescharacteristic
1209C4×Q8C22×D4311yescharacteristic
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—21no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—431no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117—861no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287C4⋊C8C22×D4311yescharacteristic
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326C22⋊C8—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—862no—
1353C2×Q8—862no—
1354C2×Q8—1721no—
1355C2×Q8—1721no—
1356C2×Q8D4×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—3442no—
1405Q16—22no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—22no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—862no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4D4×D4311yescharacteristic
1475C4⋊C4D4×D4311yescharacteristic
1476C4⋊C4D4×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—431no—
1548C23—431no—
1549C23—431no—
1550C23—861no—
1551C23—861no—
1552C23—3441no—
1553C23—3441no—
1554C23—3441no—
1555C23—1722no—
1556C23—1722no—
1557C23—1722no—
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—41no—
1562Q8—81no—
1563Q8—81no—
1564Q8—81no—
1565Q8—861no—
1566Q8—861no—
1567Q8—861no—
1568Q8—861no—
1569Q8—3441no—
1570Q8—1722no—
1571Q8—1722no—
1572Q8#41×D4312yes—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—81no—
1578D4—81no—
1579D4—432no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—1721no—
1589D4—1721no—
1590D4—1721no—
1591D4—1722no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—1721no—
1630C2×C4—1721no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—861no—
1659C22—861no—
1660C22—861no—
1661C22—862no—
1662C22—861no—
1663C22—861no—
1664C22—861no—
1665C22—861no—
1666C22—861no—
1667C22—861no—
1668C22—3444no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—22no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—81no—
1702C2—81no—
1703C2—3441no—
1704C2—1721no—
1705C2—1721no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914808411yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3375C2
socleC22×C43C23×D4
hypercenter#3375D43
hypocenterC43#61503
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. #19148613C2semidirect
2. #19148534C2semidirect
3. #19147655C2semidirect
4. #19147501C2semidirect
5. #19147424C2semidirect
6. #19147176C2semidirect
7. #19147122C2semidirect
8. #19147102C2semidirect
9. #19146868C2semidirect
10. #19146825C2semidirect
11. #19146771C2semidirect
12. #19146750C2semidirect
13. #19146630C2semidirect
14. #19146591C2semidirect
15. #19146221C2semidirect
16. #19146100C2semidirect
17. #19146085C2semidirect
18. #19145285C2semidirect
19. #19145233C2semidirect
20. #19145204C2semidirect
21. #19144884C2semidirect
22. #19144864C2semidirect
23. #19144821C2semidirect
24. #19144786C2semidirect
25. #19144703C2semidirect
26. #19144696C2semidirect
27. #19143579C2semidirect
28. #19143451C2semidirect
29. #19143433C2semidirect
30. #19143400C2semidirect
31. C43×#3375C2semidirect
38. #14583623C22semidirect
40. #14583622C22semidirect
42. #14583615C22semidirect
49. Q8×D172C22semidirect
51. #14583561C22semidirect
59. #14583523C22semidirect
60. #14583523C22semidirect
66. #14583454C22semidirect
73. #14583375C22semidirect
74. #14583375C22semidirect
76. C4×#10621902C22semidirect
78. #14583305C22semidirect
79. #14583305C22semidirect
80. #14583302C22semidirect
81. #14583294C22semidirect
83. #14583281C22semidirect
84. #14583268C22semidirect
85. #14583259C22semidirect
86. #14583254C22semidirect
87. #14583242C22semidirect
88. #14583239C22semidirect
89. #14583238C22semidirect
90. #14583236C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583226C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583214C22semidirect
99. #14583207C22semidirect
100. #14583206C22semidirect
101. #14583206C22semidirect
102. #14583200C22semidirect
103. #14583194C22semidirect
105. #14583185C22semidirect
108. #14583156C22semidirect
109. #14583156C22semidirect
110. #14583151C22semidirect
111. #14583148C22semidirect
115. #14583144C22semidirect
116. #14583139C22semidirect
118. #14583134C22semidirect
119. #14583127C22semidirect
120. #14583121C22semidirect
121. #14583118C22semidirect
124. #14583114C22semidirect
125. #14583111C22semidirect
127. #14583104C22semidirect
130. #14583060C22semidirect
131. #14583053C22semidirect
138. #14583036C22semidirect
139. #14583036C22semidirect
141. #14583030C22semidirect
143. #14583009C22semidirect
144. #14583008C22semidirect
145. #14583006C22semidirect
146. #14583004C22semidirect
147. #14583002C22semidirect
149. #14583000C22semidirect
154. #14582996C22semidirect
155. #14582996C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
158. #14582990C22semidirect
159. #14582990C22semidirect
161. SD16×Dic43C22semidirect
163. C4×#10621883C22semidirect
166. #14582979C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582940C22semidirect
177. #14582940C22semidirect
178. #14582936C22semidirect
179. #14582906C22semidirect
182. #14582899C22semidirect
184. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
189. Q82×C43C22semidirect
190. C43×#489C22semidirect
191. C43×#489C22semidirect
193. C43×#477C22semidirect
194. C43×#474C22semidirect
195. C43×#474C22semidirect
196. C43×#464C22semidirect
197. C43×#464C22semidirect
199. C43×#446C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C4×Q16×C43C22semidirect
592. #10621884#41semidirect
851. #3375D43semidirect
891. Q82C2×D43semidirect
943. #489C2×D43semidirect
944. #489C2×D43semidirect
964. #477C2×D43semidirect
969. #474C2×D43semidirect
970. #474C2×D43semidirect
985. #464C2×D43semidirect
986. #464C2×D43semidirect
1008. #446C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486132
#191485342
#191476552
#191475012
#191474242
#191471762
#191471222
#191471022
#191468682
#191468252
#191467712
#191467502
#191466302
#191465912
#191462212
#191461002
#191460852
#191452852
#191452332
#191452042
#191448842
#191448642
#191448212
#191447862
#191447032
#191446962
#191435792
#191434512
#191434332
#191434002
C43×#33752
#6150343