Finite Group Databasebeta

← #25979792

Subgroups — #25979792

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#19148666C211yesmaximal, characteristic, complemented
2#19148626C211yesmaximal, characteristic, complemented
3#19147611C211yesmaximal, characteristic, complemented
4#19147549C211yesmaximal, characteristic, complemented
5#19147424C211yesmaximal, characteristic, complemented
6#19147198C211yesmaximal, characteristic, complemented
7#19147147C211yesmaximal, characteristic, complemented
8#19147107C211yesmaximal, characteristic, complemented
9#19146825C211yesmaximal, characteristic, complemented
10#19146801C211yesmaximal, characteristic, complemented
11#19146756C211yesmaximal, characteristic, complemented
12#19146735C211yesmaximal, characteristic, complemented
13#19146615C211yesmaximal, characteristic, complemented
14#19146576C211yesmaximal, characteristic, complemented
15#19146190C211yesmaximal, characteristic, complemented
16#19146070C211yesmaximal, characteristic, complemented
17#19146070C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145222C211yesmaximal, characteristic, complemented
20#19145189C211yesmaximal, characteristic, complemented
21#19144849C211yesmaximal, characteristic, complemented
22#19144836C211yesmaximal, characteristic, complemented
23#19144791C211yesmaximal, characteristic, complemented
24#19144784C211yesmaximal, characteristic, complemented
25#19144743C211yesmaximal, characteristic, complemented
26#19144738C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143444C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143406C211yesmaximal, characteristic, complemented
31C43×#3366C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×D8×D43C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583622C2211yescharacteristic, complemented
37#14583614C2211yescharacteristic
38#14583609C2211yescharacteristic, complemented
39#14583602C2211yescharacteristic, complemented
40#14583599C2211yescharacteristic
41#14583599C2211yescharacteristic, complemented
42#14583597—21no—
43#14583596—21no—
44#14583591—21no—
45#14583587C2211yescharacteristic, complemented
46#14583576—21no—
47#14583576—21no—
48#14583553C2211yescharacteristic, complemented
49#14583544C2211yescharacteristic, complemented
50#14583544C2211yescharacteristic, complemented
51#14583538—21no—
52#14583538—21no—
53#14583537—21no—
54#14583534C2211yescharacteristic
55#14583534C2211yescharacteristic
56#14583534C2211yescharacteristic, complemented
57#14583523C2211yescharacteristic, complemented
58#14583512C2211yescharacteristic, complemented
59#14583503C2211yescharacteristic
60#14583503C2211yescharacteristic, complemented
61#14583498—21no—
62#14583489—21no—
63#14583481—21no—
64#14583481—21no—
65#14583447C2211yescharacteristic, complemented
66#14583436C2211yescharacteristic
67#14583435—21no—
68#14583434C2211yescharacteristic, complemented
69C2×#13063320—21no—
70#14583406—21no—
71#121×D43—21no—
72#14583378C2211yescharacteristic, complemented
73#14583371C2211yescharacteristic
74#14583371C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583286C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic, complemented
83#14583271C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583254C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583243C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583231C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583222C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583196C2211yescharacteristic, complemented
104#14583196C2211yescharacteristic, complemented
105#14583185C2211yescharacteristic, complemented
106#14583179C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic, complemented
109#14583151C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic, complemented
111#14583144C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583127C2211yescharacteristic, complemented
118#14583127C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic
121#14583115C2211yescharacteristic
122#14583114C2211yescharacteristic, complemented
123#14583114C2211yescharacteristic, complemented
124#14583105C2211yescharacteristic, complemented
125#14583104C2211yescharacteristic, complemented
126#14583096C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic, complemented
129#14583051C2211yescharacteristic
130#14583051C2211yescharacteristic
131#14583051C2211yescharacteristic, complemented
132#14583051C2211yescharacteristic, complemented
133#14583041C2211yescharacteristic, complemented
134#14583041C2211yescharacteristic, complemented
135#14583041C2211yescharacteristic, complemented
136#14583041C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583031C2211yescharacteristic, complemented
140#14583031C2211yescharacteristic, complemented
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic
143#14583011C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583008C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582990C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, 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#14582940C2211yescharacteristic, complemented
177#14582938C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic, complemented
182#14582897C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic, complemented
190C43×#490C2211yescharacteristic, complemented
191C43×#490C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#459C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic, complemented
201C43×#442C2211yescharacteristic, complemented
202C4×D8×C43C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063349—24no—
215#13063349—24no—
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×D344C2311yescharacteristic
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#13063325C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320D411yescharacteristic
249#13063320D411yescharacteristic
250#13063318—21no—
251#13063318—21no—
252#13063317C2311yescharacteristic
253#13063317C2311yescharacteristic
254#13063316—21no—
255#13063316—21no—
256#13063316—21no—
257#13063316D411yescharacteristic
258#13063314—21no—
259#13063314—21no—
260#13063314D411yescharacteristic
261#13063313C2311yescharacteristic
262#13063313C2311yescharacteristic
263#13063312—21no—
264#13063311—21no—
265#13063311—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#13063309—21no—
276#13063308—21no—
277#13063308—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306—21no—
282#13063305C2311yescharacteristic
283#13063305C2311yescharacteristic
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063303—21no—
287#13063303—21no—
288#13063301—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301D411yescharacteristic
292#13063300—21no—
293#13063300D411yescharacteristic
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063299—21no—
297#13063299—21no—
298#13063299—21no—
299#13063299—21no—
300#13063298—21no—
301#13063298—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063296—21no—
307#13063296—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296C2311yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063296C2311yescharacteristic
316#13063295—21no—
317#13063295—21no—
318#13063293—21no—
319#13063293—21no—
320#13063293—21no—
321#13063293—21no—
322#13063293—21no—
323#13063293—21no—
324Q8×Dic43—21no—
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—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(C22⋊D43)⋊C4—21no—
359#13063284—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063283C2311yescharacteristic
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371C2×C4⋊Dic43—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—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#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#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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×#41×C43—21no—
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#127×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451#121×C43—21no—
452#121×C43—21no—
453#121×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462#107×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×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—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2×D411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—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—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522#10621900—22no—
523#10621900—22no—
524#10621900—41no—
525#10621900—41no—
526#10621900—82no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—22no—
530D4×D43—22no—
531D4×D43—41no—
532D4×D43—41no—
533D4×D43—41no—
534D4×D43—41no—
535D4×D43—82no—
536D4×D43—82no—
537D4×D43—82no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172C2×D411yescharacteristic
541C2×D172C2×D411yescharacteristic
542C2×D172C2×D411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
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—82no—
554C2×C4×D43C2×D411yescharacteristic
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2411yescharacteristic
557C2×C4×D43C2411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×Dic86—21no—
560C2×Dic86C2411yescharacteristic
561C2×Dic86C2411yescharacteristic
562D8×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×C43—21no—
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2×D411yescharacteristic
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C42×C43C2411yescharacteristic
588C42×C43C2411yescharacteristic
589C42×C43C2411yescharacteristic
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600#10621883—22no—
601#10621883—22no—
602#10621883—41no—
603#10621883—41no—
604#10621883—41no—
605#10621883—41no—
606#10621882—22no—
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)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
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
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
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—
684#10621873—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—
695C23×C43—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—41no—
714Q8×C43—81no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—42no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43C2×#4112yes—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—42no—
734C2×C4×C43—81no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—42no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—42no—
765C2×Dic43—42no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775D172—21no—
776D172—21no—
777D172—21no—
778D172—41no—
779D172—41no—
780D172—41no—
781D172—81no—
782D172—81no—
783D172C2×#4112yes—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—21no—
789C4×D43—21no—
790C4×D43—41no—
791C4×D43—41no—
792C4×D43—42no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800Dic86—21no—
801Dic86—21no—
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#61506—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×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—22no—
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
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×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869#3521—431no—
870#3519—431no—
871#3397—431no—
872#3389—431no—
873#3376—431no—
874#3366D4311yescharacteristic, complemented
875#3355—431no—
876#3350—431no—
877#3348—431no—
878#3324—431no—
879#3322—431no—
880#3319—431no—
881#3318—431no—
882#3310—431no—
883#3307—431no—
884#3272—431no—
885#3264—431no—
886#3264—431no—
887#3179—431no—
888#3174—431no—
889#3171—431no—
890#3123—431no—
891#3122—431no—
892#3119—431no—
893#3118—431no—
894#3115—431no—
895#3114—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×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—41no—
909D43—41no—
910D43—42no—
911D43—81no—
912C2×AGL(1,ℤ/8)—431no—
913C2×AGL(1,ℤ/8)—431no—
914C22×D8—431no—
915#556—431no—
916#556—431no—
917#555—431no—
918#554—431no—
919#554C2×D4311yescharacteristic, complemented
920#553—431no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553—861no—
925#552—431no—
926#552—861no—
927#551—861no—
928#551—861no—
929#550C2×D4311yescharacteristic, complemented
930#547—431no—
931#546—431no—
932#546—431no—
933#546—861no—
934#546—861no—
935#546—861no—
936D42—431no—
937D42—431no—
938D42—431no—
939#542—431no—
940#541—431no—
941#540—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×#126—861no—
952#525—861no—
953C2×#121—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#499—431no—
963#496—431no—
964#496—431no—
965#492—431no—
966#491—431no—
967#490C2×D4311yescharacteristic, complemented
968#490C2×D4311yescharacteristic, complemented
969#489—431no—
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#480—431no—
983#480—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478C2×D4311yescharacteristic, complemented
991#478C2×D4311yescharacteristic, complemented
992#476C2×D4311yescharacteristic, complemented
993#475—431no—
994#474—431no—
995#474—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#468—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#463—431no—
1012#461—431no—
1013#461—431no—
1014#460—431no—
1015#460—431no—
1016#459—431no—
1017#459C2×D4311yescharacteristic, complemented
1018#459C2×D4311yescharacteristic, complemented
1019#459C2×D4311yescharacteristic, complemented
1020#450—431no—
1021#450—431no—
1022#450—431no—
1023#450—431no—
1024#449—431no—
1025#449—431no—
1026#449—431no—
1027#449—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#442C2×D4311yescharacteristic, complemented
1042#442C2×D4311yescharacteristic, complemented
1043#440—431no—
1044#440—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×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8C2×D4311yescharacteristic, complemented
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#6150611yescharacteristic, complemented, Sylow
1084C2×#41—21no—
1085C2×#41—431no—
1086C2×#41—431no—
1087C2×#41—861no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C22×D4—861no—
1095C23×C4—861no—
1096AGL(1,ℤ/8)—864no—
1097AGL(1,ℤ/8)—864no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—864no—
1112C2×D8C22×D4311yescharacteristic
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⋊Q8—431no—
1123C4⋊Q8C22×D4311yescharacteristic
1124#127C22×D4311yescharacteristic
1125#127C22×D4311yescharacteristic
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#126—861no—
1138#126—861no—
1139#126—861no—
1140#126—861no—
1141#125—431no—
1142#125—431no—
1143#125—431no—
1144#125—861no—
1145#125—861no—
1146#125—861no—
1147#125C22×D4311yescharacteristic
1148#125C22×D4311yescharacteristic
1149#124—431no—
1150#124—431no—
1151#124—431no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#123—431no—
1158#123—431no—
1159#123—861no—
1160#123—861no—
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—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
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—431no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—431no—
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—861no—
1241C4×D4—861no—
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×D4C22×D4311yescharacteristic
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—21no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊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#107—431no—
1299#107C22×D4311yescharacteristic
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
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#103—431no—
1320#103—431no—
1321#103—431no—
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#102C22×D4311yescharacteristic
1337#102C22×D4311yescharacteristic
1338#102C22×D4311yescharacteristic
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—82no—
1367#41—862no—
1368#41—862no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372C2×Q8—21no—
1373C2×Q8—431no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8D4×D4311yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
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—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—3442no—
1407C2×D4—3442no—
1408C2×D4—3442no—
1409C2×D4—1721no—
1410C2×D4—1721no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4C23×D4311yescharacteristic
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—21no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—431no—
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—
1443SD16—862no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—1721no—
1448SD16—1721no—
1449SD16—1721no—
1450SD16—1721no—
1451D8—22no—
1452D8—22no—
1453D8—22no—
1454D8—434no—
1455D8—862no—
1456D8—862no—
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—21no—
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—431no—
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⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4D4×D4311yescharacteristic
1507C4⋊C4D4×D4311yescharacteristic
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
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—431no—
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—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
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—21no—
1577C23—431no—
1578C23—431no—
1579C23—431no—
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—41no—
1595Q8—81no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—861no—
1600Q8—3441no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—432no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
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—42no—
1641C2×C4—81no—
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—861no—
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—41no—
1704C22—41no—
1705C22—41no—
1706C22—861no—
1707C22—861no—
1708C22—861no—
1709C22—862no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—861no—
1715C22—861no—
1716C22—3444no—
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—861no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C4C2×#41×D4311yescharacteristic
1748C4#1458373611yescharacteristic
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—3441no—
1754C2—1721no—
1755C2—1721no—
1756C2—1721no—
1757C2—1722no—
1758C2#1914808411yescharacteristic
1759C2#1914937011yescharacteristic
1760C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3366C2
socleC22×C43C23×D4
hypercenter#3366D43
hypocenterC43#61506
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #19148666C2semidirect
2. #19148626C2semidirect
3. #19147611C2semidirect
4. #19147549C2semidirect
5. #19147424C2semidirect
6. #19147198C2semidirect
7. #19147147C2semidirect
8. #19147107C2semidirect
9. #19146825C2semidirect
10. #19146801C2semidirect
11. #19146756C2semidirect
12. #19146735C2semidirect
13. #19146615C2semidirect
14. #19146576C2semidirect
15. #19146190C2semidirect
16. #19146070C2semidirect
17. #19146070C2semidirect
18. #19145285C2semidirect
19. #19145222C2semidirect
20. #19145189C2semidirect
21. #19144849C2semidirect
22. #19144836C2semidirect
23. #19144791C2semidirect
24. #19144784C2semidirect
25. #19144743C2semidirect
26. #19144738C2semidirect
27. #19143579C2semidirect
28. #19143444C2semidirect
29. #19143420C2semidirect
30. #19143406C2semidirect
31. C43×#3366C2semidirect
35. #14583623C22semidirect
36. #14583622C22semidirect
38. #14583609C22semidirect
39. #14583602C22semidirect
41. #14583599C22semidirect
45. #14583587C22semidirect
48. #14583553C22semidirect
49. #14583544C22semidirect
50. #14583544C22semidirect
56. #14583534C22semidirect
57. #14583523C22semidirect
58. #14583512C22semidirect
60. #14583503C22semidirect
65. #14583447C22semidirect
68. #14583434C22semidirect
72. #14583378C22semidirect
74. #14583371C22semidirect
75. #14583371C22semidirect
76. C4×#10621900C22semidirect
77. C4×D4×D43C22semidirect
78. #14583309C22semidirect
79. #14583305C22semidirect
80. #14583298C22semidirect
81. #14583286C22semidirect
82. #14583286C22semidirect
83. #14583271C22semidirect
84. #14583268C22semidirect
85. #14583259C22semidirect
86. #14583254C22semidirect
87. #14583243C22semidirect
88. #14583243C22semidirect
89. #14583242C22semidirect
90. #14583231C22semidirect
91. #14583225C22semidirect
92. #14583222C22semidirect
93. #14583222C22semidirect
94. #14583222C22semidirect
95. #14583221C22semidirect
96. #14583216C22semidirect
97. #14583214C22semidirect
98. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583200C22semidirect
101. #14583199C22semidirect
102. #14583199C22semidirect
103. #14583196C22semidirect
104. #14583196C22semidirect
105. #14583185C22semidirect
106. #14583179C22semidirect
107. #14583176C22semidirect
108. #14583151C22semidirect
109. #14583151C22semidirect
110. #14583151C22semidirect
111. #14583144C22semidirect
112. #14583144C22semidirect
113. #14583144C22semidirect
114. #14583144C22semidirect
115. #14583144C22semidirect
116. #14583134C22semidirect
117. #14583127C22semidirect
118. #14583127C22semidirect
119. #14583127C22semidirect
122. #14583114C22semidirect
123. #14583114C22semidirect
124. #14583105C22semidirect
125. #14583104C22semidirect
126. #14583096C22semidirect
127. #14583096C22semidirect
128. #14583091C22semidirect
131. #14583051C22semidirect
132. #14583051C22semidirect
133. #14583041C22semidirect
134. #14583041C22semidirect
135. #14583041C22semidirect
136. #14583041C22semidirect
139. #14583031C22semidirect
140. #14583031C22semidirect
141. #14583030C22semidirect
143. #14583011C22semidirect
144. #14583011C22semidirect
148. #14583008C22semidirect
149. #14583001C22semidirect
150. #14582999C22semidirect
151. #14582999C22semidirect
152. #14582998C22semidirect
153. #14582996C22semidirect
154. #14582996C22semidirect
155. #14582996C22semidirect
156. #14582990C22semidirect
157. #14582990C22semidirect
158. #14582990C22semidirect
159. C4×#10621873C22semidirect
160. #14582986C22semidirect
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. #14582940C22semidirect
177. #14582938C22semidirect
178. #14582934C22semidirect
180. #14582902C22semidirect
181. #14582902C22semidirect
182. #14582897C22semidirect
183. #14582892C22semidirect
184. #102×D43C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
188. C43×#554C22semidirect
189. C43×#550C22semidirect
190. C43×#490C22semidirect
191. C43×#490C22semidirect
192. C43×#486C22semidirect
193. C43×#478C22semidirect
194. C43×#478C22semidirect
195. C43×#476C22semidirect
196. C43×#459C22semidirect
197. C43×#459C22semidirect
198. C43×#459C22semidirect
199. C43×#446C22semidirect
200. C43×#442C22semidirect
201. C43×#442C22semidirect
202. C4×D8×C43C22semidirect
609. #10621882#41semidirect
874. #3366D43semidirect
919. #554C2×D43semidirect
929. #550C2×D43semidirect
967. #490C2×D43semidirect
968. #490C2×D43semidirect
971. #486C2×D43semidirect
990. #478C2×D43semidirect
991. #478C2×D43semidirect
992. #476C2×D43semidirect
1017. #459C2×D43semidirect
1018. #459C2×D43semidirect
1019. #459C2×D43semidirect
1033. #446C2×D43semidirect
1041. #442C2×D43semidirect
1042. #442C2×D43semidirect
1061. C4×D8C2×D43semidirect
1083. C43#61506semidirect

Maximal subgroups

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

subgroupindex
#191486662
#191486262
#191476112
#191475492
#191474242
#191471982
#191471472
#191471072
#191468252
#191468012
#191467562
#191467352
#191466152
#191465762
#191461902
#191460702
#191452852
#191452222
#191451892
#191448492
#191448362
#191447912
#191447842
#191447432
#191447382
#191435792
#191434442
#191434202
#191434062
C43×#33662
#6150643