Finite Group Databasebeta

← #25979761

Subgroups — #25979761

Order 11008.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148557C211yesmaximal, characteristic, complemented
2#19148534C211yesmaximal, characteristic, complemented
3#19147679C211yesmaximal, characteristic, complemented
4#19147490C211yesmaximal, characteristic, complemented
5#19147350C211yesmaximal, characteristic, complemented
6#19147187C211yesmaximal, characteristic, complemented
7#19147147C211yesmaximal, characteristic, complemented
8#19147117C211yesmaximal, characteristic, complemented
9#19146836C211yesmaximal, characteristic, complemented
10#19146816C211yesmaximal, characteristic, complemented
11#19146750C211yesmaximal, characteristic, complemented
12#19146741C211yesmaximal, characteristic, complemented
13#19146630C211yesmaximal, characteristic, complemented
14#19146561C211yesmaximal, characteristic, complemented
15#19146201C211yesmaximal, characteristic, complemented
16#19146081C211yesmaximal, characteristic, complemented
17#19146070C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145211C211yesmaximal, characteristic, complemented
20#19145193C211yesmaximal, characteristic, complemented
21#19144879C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144784C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144701C211yesmaximal, characteristic, complemented
26#19144688C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143444C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143406C211yesmaximal, characteristic, complemented
31C43×#3373C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583623C2211yescharacteristic, complemented
37#14583615C2211yescharacteristic
38#14583615C2211yescharacteristic, complemented
39#14583609C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583594—21no—
42#14583590C2211yescharacteristic, complemented
43#14583579—21no—
44#14583578—21no—
45#14583576—21no—
46#14583576—21no—
47#14583560—21no—
48#14583554C2211yescharacteristic, complemented
49#14583544C2211yescharacteristic
50#14583544C2211yescharacteristic, complemented
51#14583542C2211yescharacteristic
52#14583542C2211yescharacteristic, complemented
53#14583541—21no—
54#14583540—21no—
55D4×D172C2211yescharacteristic, complemented
56#14583534C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583523C2211yescharacteristic, complemented
59#14583518C2211yescharacteristic, complemented
60#14583503C2211yescharacteristic, complemented
61#14583492—21no—
62#14583489—21no—
63#14583489—21no—
64#14583483—21no—
65#14583450C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic
67#14583435—21no—
68#14583428C2211yescharacteristic, complemented
69C2×#13063314—21no—
70#14583408—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583305C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583295C2211yescharacteristic, complemented
81#14583289C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic, complemented
84#14583264C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583254C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583231C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic, complemented
93#14583221C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583189C2211yescharacteristic, complemented
104#14583186C2211yescharacteristic, complemented
105#14583186C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic, complemented
109#14583151C2211yescharacteristic
110#14583151C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583148C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583131C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic, complemented
122#14583115C2211yescharacteristic, complemented
123#14583115C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583111C2211yescharacteristic, complemented
126#14583095C2211yescharacteristic
127#14583094C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic, complemented
129#14583064C2211yescharacteristic, complemented
130#14583058C2211yescharacteristic, complemented
131#14583051C2211yescharacteristic, complemented
132#14583048C2211yescharacteristic, complemented
133#14583047C2211yescharacteristic
134#14583041C2211yescharacteristic
135#14583034C2211yescharacteristic
136#14583034C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic, complemented
138#14583031C2211yescharacteristic
139#14583031C2211yescharacteristic, complemented
140#14583031C2211yescharacteristic, complemented
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583003C2211yescharacteristic, complemented
151#14583001C2211yescharacteristic, complemented
152#14583000C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582997C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic, complemented
157#14582986C2211yescharacteristic, complemented
158#14582984C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160C4×D344C2211yescharacteristic, complemented
161D8×Dic43C2211yescharacteristic, complemented
162C4×#10621882C2211yescharacteristic
163C4×#10621882C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic
165#14582979C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic, complemented
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582938C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#559C2211yescharacteristic, complemented
189D4×Q8×C43C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#476C2211yescharacteristic, complemented
195C43×#475C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#463C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621900C2311yescharacteristic
207C22×D172—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063352—24no—
215#13063349—24no—
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229D8×D43—24no—
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063322C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063320D411yescharacteristic
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063317C2311yescharacteristic
249#13063317C2311yescharacteristic
250#13063316D411yescharacteristic
251#13063315—21no—
252#13063314—21no—
253#13063314—21no—
254#13063314—21no—
255#13063314—21no—
256#13063314—21no—
257#13063314—21no—
258#13063314—21no—
259#13063314—21no—
260#13063314—21no—
261#13063314D411yescharacteristic
262#13063313C2311yescharacteristic
263#13063313C2311yescharacteristic
264#13063311—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310D411yescharacteristic
271#13063310D411yescharacteristic
272#13063309—21no—
273#13063309—21no—
274#13063309—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306—21no—
283#13063305C2311yescharacteristic
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063303—21no—
287#13063303—21no—
288#13063302—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301—21no—
292#13063301D411yescharacteristic
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063300—21no—
296#13063300—21no—
297#13063300—21no—
298#13063300D411yescharacteristic
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063299—21no—
304#13063299—21no—
305#13063299—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063297—21no—
310#13063297—21no—
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063296C2311yescharacteristic
316#13063295—21no—
317#13063295—21no—
318#13063295—21no—
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063293—21no—
323#13063293—21no—
324Q8×Dic43—21no—
325Q8×Dic43C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43—21no—
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
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#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
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
438C22×Q8×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#124×C43—21no—
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43—21no—
453C22⋊Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×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—
483C23×D43—21no—
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43—82no—
489C2×Q8×C43C2×D411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514#10621902—22no—
515#10621902—41no—
516#10621902—82no—
517#10621900—22no—
518#10621900—41no—
519D4×D43—22no—
520D4×D43—22no—
521D4×D43—22no—
522D4×D43—22no—
523D4×D43—41no—
524D4×D43—41no—
525D4×D43—41no—
526D4×D43—41no—
527D4×D43—82no—
528#10621898—82no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—82no—
537C2×D172C2×D411yescharacteristic
538C2×D172C2×D411yescharacteristic
539C2×D172C2×D411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×Dic86—21no—
561C2×Dic86C2411yescharacteristic
562SD16×C43—22no—
563D8×C43—22no—
564D8×C43—22no—
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C42×C43—21no—
590C42×C43C2411yescharacteristic
591C42×C43C2411yescharacteristic
592C42×C43C2411yescharacteristic
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600#10621885—41no—
601#10621884—22no—
602#10621884—41no—
603#10621883—22no—
604#10621883—41no—
605#10621882—22no—
606#10621882—41no—
607#10621882—41no—
608#10621882—41no—
609#10621882#4114yescomplemented
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)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683D344—22no—
684D344—22no—
685#10621873—22no—
686#10621872—22no—
687#10621872—22no—
688#10621872—41no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43C22×D411yescharacteristic
711C22×D43C22×D411yescharacteristic
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—41no—
716Q8×C43—42no—
717Q8×C43—81no—
718Q8×C43—81no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43C2×#4112yes—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—42no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C2511yescharacteristic
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—42no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—21no—
772D172—41no—
773D172—41no—
774D172—41no—
775D172—42no—
776D172—42no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172—81no—
782D172C2×#4112yes—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—41no—
790C4×D43—41no—
791C4×D43—42no—
792C4×D43—42no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—21no—
803Dic86—21no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8C2×#4112yes—
813#61505—431nomaximal, Sylow
814C22×C43—22no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43C23×D411yescharacteristic
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—22no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C2×D43—162no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—21no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43C22×#4111yescharacteristic
858C4×C43#58511yescharacteristic
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3514—431no—
870#3513—431no—
871#3403—431no—
872#3384—431no—
873#3373D4311yescharacteristic, complemented
874#3370—431no—
875#3354—431no—
876#3350—431no—
877#3348—431no—
878#3325—431no—
879#3323—431no—
880#3319—431no—
881#3318—431no—
882#3311—431no—
883#3306—431no—
884#3273—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3173—431no—
889#3171—431no—
890#3125—431no—
891#3122—431no—
892#3118—431no—
893#3118—431no—
894#3111—431no—
895#3109—431no—
896#2967—431no—
897#2948—431no—
898#2946—431no—
899C4×AGL(1,ℤ/8)—431no—
900C2×C43—42no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—41no—
908D43—41no—
909D43—42no—
910D43—81no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#559—431no—
916#559C2×D4311yescharacteristic, complemented
917#556—431no—
918#555—431no—
919#555—431no—
920#554—431no—
921#553—431no—
922#553—861no—
923#552—431no—
924#551—861no—
925#551—861no—
926#551—861no—
927#551—861no—
928D4×Q8C2×D4311yescharacteristic, complemented
929#548—861no—
930#547—431no—
931#546—431no—
932#546—431no—
933#546—431no—
934#546—431no—
935#546—861no—
936#546—861no—
937D42—431no—
938D42—431no—
939#542—431no—
940#542—431no—
941#542—431no—
942#540—431no—
943#539—861no—
944#538—861no—
945#538—861no—
946#538—861no—
947#532—431no—
948#529—431no—
949#529—431no—
950#529—861no—
951C2×#124—861no—
952#525—861no—
953C2×#123—861no—
954#520—431no—
955#518—431no—
956#518—431no—
957#518—431no—
958C4×#41—431no—
959C2×C4×D4—431no—
960#501—431no—
961#501—431no—
962#498—431no—
963#496—431no—
964#496—431no—
965#495—431no—
966#490—431no—
967#489—431no—
968#489C2×D4311yescharacteristic, complemented
969#489C2×D4311yescharacteristic, complemented
970#488—431no—
971#486C2×D4311yescharacteristic, complemented
972#485—431no—
973#485—431no—
974#485—431no—
975#483—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#482—431no—
981#481—431no—
982#481—431no—
983#481—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#476—431no—
989#476—431no—
990#476—431no—
991#476C2×D4311yescharacteristic, complemented
992#476C2×D4311yescharacteristic, complemented
993#475C2×D4311yescharacteristic, complemented
994#474—431no—
995#474—431no—
996#470—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#469—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#464—431no—
1009#464—431no—
1010#463—431no—
1011#463—431no—
1012#463—431no—
1013#463—431no—
1014#463C2×D4311yescharacteristic, complemented
1015#463C2×D4311yescharacteristic, complemented
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#459C2×D4311yescharacteristic
1020#452—431no—
1021#452—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#447—431no—
1032#446—431no—
1033#446C2×D4311yescharacteristic, complemented
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442C2×D4311yescharacteristic, complemented
1043#442C2×D4311yescharacteristic, complemented
1044#441—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440—431no—
1049#440—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062#436—431no—
1063#436—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#435—431no—
1068#433—431no—
1069#433—431no—
1070#432—431no—
1071#428—431no—
1072#428—431no—
1073#427—431no—
1074#418—431no—
1075#418—431no—
1076#418—431no—
1077#417—431no—
1078#416—431no—
1079C2×#102—431no—
1080#405—431no—
1081#405—431no—
1082C4×M16—431no—
1083C43#6150511yescharacteristic, complemented, Sylow
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C22×Q8—21no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×Q16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16C22×D4311yescharacteristic
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—864no—
1113C2×D8C22×D4311yescharacteristic
1114C2×D8C22×D4311yescharacteristic
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C2×M16—431no—
1119C22×C8—431no—
1120C22×C8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8C22×D4311yescharacteristic
1123C4⋊Q8C22×D4311yescharacteristic
1124C4⋊Q8C22×D4311yescharacteristic
1125#127—431no—
1126#127C22×D4311yescharacteristic
1127#126—431no—
1128#126—431no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#124—21no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124C22×D4311yescharacteristic
1156#124C22×D4311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—431no—
1160#123—431no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—431no—
1184C22⋊Q8—431no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—431no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#120—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220#120—861no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4C22×D4311yescharacteristic
1259C4×D4C22×D4311yescharacteristic
1260C4×D4C22×D4311yescharacteristic
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263#117—431no—
1264#117—431no—
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—861no—
1278C2×C4⋊C4—861no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C22⋊C4—861no—
1282C2×C22⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C22⋊C4—861no—
1290C2×C42—431no—
1291C2×C42—861no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107—431no—
1296#107—431no—
1297#107—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307#106C22×D4311yescharacteristic
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313C4⋊C8C22×D4311yescharacteristic
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
1321#103C22×D4311yescharacteristic
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345#102C22×D4311yescharacteristic
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351C22⋊C8—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97C22×D4311yescharacteristic
1357#97C22×D4311yescharacteristic
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8—431no—
1361C4×C8C22×D4311yescharacteristic
1362C24—861no—
1363C24—861no—
1364C24—861no—
1365C24—861no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—82no—
1376C2×Q8—431no—
1377C2×Q8—861no—
1378C2×Q8D4×D4311yescharacteristic
1379C2×Q8C23×D4311yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—3442no—
1409C2×D4—3442no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443Q16—1721no—
1444SD16—22no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—1721no—
1449SD16—1721no—
1450D8—22no—
1451D8—22no—
1452D8—434no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459M16—862no—
1460M16—862no—
1461M16—1721no—
1462M16—1721no—
1463C2×C8—431no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—862no—
1468C2×C8—1721no—
1469C2×C8C23×D4311yescharacteristic
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4D4×D4311yescharacteristic
1503C4⋊C4D4×D4311yescharacteristic
1504C4⋊C4D4×D4311yescharacteristic
1505C4⋊C4C23×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—431no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C42—21no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C42C23×D4311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—431no—
1577C23—431no—
1578C23—431no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—3441no—
1587C23—3441no—
1588C23—3441no—
1589C23—1722no—
1590C23—1722no—
1591C23—1722no—
1592C23—1722no—
1593C23—1722no—
1594Q8—21no—
1595Q8—21no—
1596Q8—41no—
1597Q8—42no—
1598Q8—81no—
1599Q8—81no—
1600Q8—861no—
1601Q8—861no—
1602Q8—3441no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—81no—
1609D4—81no—
1610D4—432no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—861no—
1615D4—861no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—1721no—
1625D4—1721no—
1626D4—1721no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4#41×D4312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—42no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—1721no—
1675C2×C4—1721no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C2×D4×D4311yescharacteristic
1685C2×C4C24×D4311yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—432no—
1691C8—861no—
1692C8—861no—
1693C8—861no—
1694C22—22no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—861no—
1704C22—861no—
1705C22—861no—
1706C22—862no—
1707C22—861no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—3444no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—6882no—
1723C22—6882no—
1724C22—6882no—
1725C22C22×D4×D4311yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373611yescharacteristic
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—3441no—
1753C2—3441no—
1754C2—1721no—
1755C2—1721no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914808411yescharacteristic
1759C2#1914937111yescharacteristic
1760C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3373C2
socleC22×C43C23×D4
hypercenter#3373D43
hypocenterC43#61505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3373

Complements

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

NH ≅ G/Ntype
1. #19148557C2semidirect
2. #19148534C2semidirect
3. #19147679C2semidirect
4. #19147490C2semidirect
5. #19147350C2semidirect
6. #19147187C2semidirect
7. #19147147C2semidirect
8. #19147117C2semidirect
9. #19146836C2semidirect
10. #19146816C2semidirect
11. #19146750C2semidirect
12. #19146741C2semidirect
13. #19146630C2semidirect
14. #19146561C2semidirect
15. #19146201C2semidirect
16. #19146081C2semidirect
17. #19146070C2semidirect
18. #19145285C2semidirect
19. #19145211C2semidirect
20. #19145193C2semidirect
21. #19144879C2semidirect
22. #19144836C2semidirect
23. #19144784C2semidirect
24. #19144776C2semidirect
25. #19144701C2semidirect
26. #19144688C2semidirect
27. #19143579C2semidirect
28. #19143444C2semidirect
29. #19143422C2semidirect
30. #19143406C2semidirect
31. C43×#3373C2semidirect
35. #14583634C22semidirect
36. #14583623C22semidirect
38. #14583615C22semidirect
39. #14583609C22semidirect
42. #14583590C22semidirect
48. #14583554C22semidirect
50. #14583544C22semidirect
52. #14583542C22semidirect
55. D4×D172C22semidirect
56. #14583534C22semidirect
57. #14583523C22semidirect
58. #14583523C22semidirect
59. #14583518C22semidirect
60. #14583503C22semidirect
65. #14583450C22semidirect
68. #14583428C22semidirect
72. #14583381C22semidirect
73. #14583371C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. C4×#10621900C22semidirect
77. C4×D4×D43C22semidirect
78. #14583305C22semidirect
79. #14583305C22semidirect
80. #14583295C22semidirect
81. #14583289C22semidirect
82. #14583286C22semidirect
83. #14583281C22semidirect
84. #14583264C22semidirect
85. #14583259C22semidirect
86. #14583254C22semidirect
87. #14583243C22semidirect
88. #14583239C22semidirect
89. #14583238C22semidirect
90. #14583231C22semidirect
91. #14583225C22semidirect
92. #14583222C22semidirect
93. #14583221C22semidirect
94. #14583221C22semidirect
95. #14583221C22semidirect
96. #14583219C22semidirect
97. #14583219C22semidirect
98. #14583219C22semidirect
99. #14583207C22semidirect
100. #14583200C22semidirect
101. #14583199C22semidirect
102. #14583199C22semidirect
103. #14583189C22semidirect
104. #14583186C22semidirect
105. #14583186C22semidirect
106. #14583180C22semidirect
107. #14583176C22semidirect
108. #14583156C22semidirect
110. #14583151C22semidirect
111. #14583151C22semidirect
112. #14583151C22semidirect
113. #14583148C22semidirect
114. #14583148C22semidirect
115. #14583144C22semidirect
116. #14583134C22semidirect
117. #14583131C22semidirect
118. #14583127C22semidirect
119. #14583127C22semidirect
120. #14583121C22semidirect
121. #14583118C22semidirect
122. #14583115C22semidirect
123. #14583115C22semidirect
124. #14583114C22semidirect
125. #14583111C22semidirect
127. #14583094C22semidirect
128. #14583091C22semidirect
129. #14583064C22semidirect
130. #14583058C22semidirect
131. #14583051C22semidirect
132. #14583048C22semidirect
136. #14583034C22semidirect
137. #14583034C22semidirect
139. #14583031C22semidirect
140. #14583031C22semidirect
141. #14583030C22semidirect
142. #14583012C22semidirect
143. #14583011C22semidirect
144. #14583010C22semidirect
145. #14583010C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583003C22semidirect
151. #14583001C22semidirect
152. #14583000C22semidirect
153. #14582999C22semidirect
154. #14582997C22semidirect
155. #14582996C22semidirect
156. #14582990C22semidirect
157. #14582986C22semidirect
158. #14582984C22semidirect
159. #14582984C22semidirect
160. C4×D344C22semidirect
161. D8×Dic43C22semidirect
163. C4×#10621882C22semidirect
165. #14582979C22semidirect
166. #14582979C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582938C22semidirect
177. #14582938C22semidirect
178. #14582934C22semidirect
179. #14582902C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582897C22semidirect
183. #14582894C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
188. C43×#559C22semidirect
189. D4×Q8×C43C22semidirect
190. C43×#489C22semidirect
191. C43×#489C22semidirect
192. C43×#486C22semidirect
193. C43×#476C22semidirect
194. C43×#476C22semidirect
195. C43×#475C22semidirect
196. C43×#463C22semidirect
197. C43×#463C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C4×SD16×C43C22semidirect
609. #10621882#41semidirect
873. #3373D43semidirect
916. #559C2×D43semidirect
928. D4×Q8C2×D43semidirect
968. #489C2×D43semidirect
969. #489C2×D43semidirect
971. #486C2×D43semidirect
991. #476C2×D43semidirect
992. #476C2×D43semidirect
993. #475C2×D43semidirect
1014. #463C2×D43semidirect
1015. #463C2×D43semidirect
1033. #446C2×D43semidirect
1042. #442C2×D43semidirect
1043. #442C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1083. C43#61505semidirect

Maximal subgroups

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

subgroupindex
#191485572
#191485342
#191476792
#191474902
#191473502
#191471872
#191471472
#191471172
#191468362
#191468162
#191467502
#191467412
#191466302
#191465612
#191462012
#191460812
#191460702
#191452852
#191452112
#191451932
#191448792
#191448362
#191447842
#191447762
#191447012
#191446882
#191435792
#191434442
#191434222
#191434062
C43×#33732
#6150543