Finite Group Databasebeta

← #25979798

Subgroups — #25979798

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148597C211yesmaximal, characteristic, complemented
2#19148533C211yesmaximal, characteristic, complemented
3#19147642C211yesmaximal, characteristic, complemented
4#19147546C211yesmaximal, characteristic, complemented
5#19147358C211yesmaximal, characteristic, complemented
6#19147299C211yesmaximal, characteristic, complemented
7#19147154C211yesmaximal, characteristic, complemented
8#19147071C211yesmaximal, characteristic, complemented
9#19147071C211yesmaximal, characteristic, complemented
10#19146917C211yesmaximal, characteristic, complemented
11#19146791C211yesmaximal, characteristic, complemented
12#19146735C211yesmaximal, characteristic, complemented
13#19146720C211yesmaximal, characteristic, complemented
14#19146596C211yesmaximal, characteristic, complemented
15#19146551C211yesmaximal, characteristic, complemented
16#19146214C211yesmaximal, characteristic, complemented
17#19146132C211yesmaximal, characteristic, complemented
18#19146132C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145188C211yesmaximal, characteristic, complemented
21#19144876C211yesmaximal, characteristic, complemented
22#19144837C211yesmaximal, characteristic, complemented
23#19144788C211yesmaximal, characteristic, complemented
24#19144788C211yesmaximal, characteristic, complemented
25#19144700C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143576C211yesmaximal, characteristic, complemented
28#19143480C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3176C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583605C2211yescharacteristic
38#14583602C2211yescharacteristic
39#14583601C2211yescharacteristic
40#14583601C2211yescharacteristic, complemented
41#14583596—21no—
42#14583594—21no—
43#14583592—21no—
44#14583587C2211yescharacteristic
45#14583577—21no—
46#14583572—21no—
47#14583569C2211yescharacteristic
48#14583569C2211yescharacteristic, complemented
49#14583567—21no—
50#14583567C2211yescharacteristic, complemented
51#14583567C2211yescharacteristic, complemented
52#14583549C2211yescharacteristic
53#14583549C2211yescharacteristic, complemented
54#14583547—21no—
55#14583546C2211yescharacteristic
56#14583546C2211yescharacteristic
57#14583538—21no—
58#14583534C2211yescharacteristic
59#14583514C2211yescharacteristic
60#14583501—21no—
61#14583500C2211yescharacteristic, complemented
62#14583499—21no—
63#14583492—21no—
64#14583481—21no—
65#14583446C2211yescharacteristic, complemented
66#14583444—21no—
67#14583431C2211yescharacteristic
68#14583427C2211yescharacteristic
69#14583426—21no—
70#14583409—21no—
71#123×D43—21no—
72#14583379C2211yescharacteristic
73#14583379C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583257C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583231C2211yescharacteristic, complemented
88#14583225C2211yescharacteristic, complemented
89#14583222C2211yescharacteristic
90#14583222C2211yescharacteristic, complemented
91#14583219C2211yescharacteristic, complemented
92#14583216C2211yescharacteristic
93#14583216C2211yescharacteristic, complemented
94#14583215C2211yescharacteristic, complemented
95#14583215C2211yescharacteristic, complemented
96#14583210C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583198C2211yescharacteristic
104#14583196C2211yescharacteristic
105#14583196C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic
107#14583187C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583183C2211yescharacteristic, complemented
110#14583151C2211yescharacteristic
111#14583149C2211yescharacteristic
112#14583149C2211yescharacteristic
113#14583146C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic
117#14583127C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583112C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic, complemented
122#14583096C2211yescharacteristic
123#14583096C2211yescharacteristic, complemented
124#14583093C2211yescharacteristic
125#14583093C2211yescharacteristic
126#14583092C2211yescharacteristic, complemented
127#14583092C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic
129#14583091C2211yescharacteristic
130#14583062C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583042C2211yescharacteristic
133#14583042C2211yescharacteristic
134#14583042C2211yescharacteristic, complemented
135#14583042C2211yescharacteristic, complemented
136#14583041C2211yescharacteristic
137#14583041C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583029C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic
146#14583011C2211yescharacteristic, complemented
147#14583011C2211yescharacteristic, complemented
148#14583009C2211yescharacteristic
149#14583009C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic
151#14583007C2211yescharacteristic, complemented
152#14583007C2211yescharacteristic, complemented
153#14582999C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582998C2211yescharacteristic
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161C4×#10621873C2211yescharacteristic, complemented
162C4×#10621873C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic, complemented
164C4×#10621883C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166C4×#10621882C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582978C2211yescharacteristic
169#14582975C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic
171#14582970C2211yescharacteristic, complemented
172#14582970C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179C2×#13063257C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582901C2211yescharacteristic
182#14582901C2211yescharacteristic, complemented
183#14582897C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic
189C43×#540C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#493C2211yescharacteristic
192C43×#490C2211yescharacteristic
193C43×#490C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063349—24no—
216#13063349—24no—
217#13063347—24no—
218C2×Dic172C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063321—21no—
238#13063321—21no—
239#13063321—21no—
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063312—21no—
257#13063312C2311yescharacteristic
258#13063312C2311yescharacteristic
259#13063311—21no—
260#13063311—21no—
261#13063311D411yescharacteristic
262#13063310—21no—
263#13063310—21no—
264#13063310D411yescharacteristic
265#13063309—21no—
266#13063309—21no—
267#13063308—21no—
268#13063308—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307D411yescharacteristic
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063305—21no—
281#13063305C2311yescharacteristic
282#13063305C2311yescharacteristic
283#13063304—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303D411yescharacteristic
287#13063302—21no—
288#13063302—21no—
289#13063300—21no—
290#13063300C2311yescharacteristic
291#13063300C2311yescharacteristic
292#13063299—21no—
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298D411yescharacteristic
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—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#13063293—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—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(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×C4⋊Dic43C2311yescharacteristic
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C2×(C2×D43)⋊C4—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444#127×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450#123×C43—21no—
451#123×C43—21no—
452#121×C43—21no—
453#121×C43—21no—
454#121×C43—21no—
455#121×C43—21no—
456#121×C43C2311yescharacteristic
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×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#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—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—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524#10621900—22no—
525#10621900—22no—
526#10621900—41no—
527#10621900—41no—
528#10621900—82no—
529#10621900—82no—
530#10621900—82no—
531D4×D43—22no—
532D4×D43—22no—
533D4×D43—41no—
534D4×D43—41no—
535D4×D43—82no—
536#10621898—22no—
537#10621898—22no—
538#10621898—41no—
539#10621898—41no—
540#10621898—82no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172C2×D411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
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—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86C2×D411yescharacteristic
564C2×Dic86C2411yescharacteristic
565C2×Dic86C2411yescharacteristic
566D8×C43—22no—
567D8×C43—22no—
568D8×C43—41no—
569D8×C43—41no—
570M16×C43—41no—
571C2×C8×C43—22no—
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43C2411yescharacteristic
597C42×C43C2411yescharacteristic
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612#10621883—22no—
613#10621883—22no—
614#10621883—41no—
615#10621883—41no—
616#10621882—22no—
617#10621882—22no—
618#10621882—41no—
619#10621882—41no—
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)⋊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
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
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
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685D344—22no—
686#10621873—22no—
687#10621873#4114yescomplemented
688#10621872—22no—
689#10621872—22no—
690#10621872—41no—
691C8×D43—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43C22×D411yescharacteristic
706C22×D43C22×D411yescharacteristic
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722D4×C43—81no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43—81no—
732C2×C4×C43—81no—
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—41no—
740C22⋊D43—41no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—42no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—42no—
762C2×Dic43—42no—
763C2×Dic43—42no—
764C2×Dic43—81no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775D172—21no—
776D172—21no—
777D172—21no—
778D172—41no—
779D172—81no—
780D172—81no—
781D172C2×#4112yes—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—41no—
787C4×D43—41no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798Dic86—21no—
799Dic86—21no—
800Dic86—21no—
801Dic86—41no—
802Dic86—42no—
803Dic86—81no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
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×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43C23×D411yescharacteristic
830C2×D43—21no—
831C2×D43—21no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—22no—
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—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43C22×#4111yescharacteristic
854C4×C43#58511yescharacteristic
855Dic43—21no—
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—22no—
860Dic43—21no—
861Dic43—21no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176D4311yescharacteristic, complemented
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—81no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43D4×#4111yescharacteristic
904C2×C43#358511yescharacteristic
905C2×C43#358511yescharacteristic
906D43—41no—
907D43—41no—
908D43—42no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542—431no—
938#540—431no—
939#540—861no—
940#540—861no—
941#540C2×D4311yescharacteristic
942#540C2×D4311yescharacteristic, complemented
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499C2×D4311yescharacteristic, complemented
961#496—431no—
962#496—431no—
963#493C2×D4311yescharacteristic
964#490—431no—
965#490C2×D4311yescharacteristic
966#490C2×D4311yescharacteristic, complemented
967#489—431no—
968#488—431no—
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469C2×D4311yescharacteristic, complemented
998#469C2×D4311yescharacteristic, complemented
999#468—431no—
1000#468—431no—
1001#468—431no—
1002#466—431no—
1003#466C2×D4311yescharacteristic, complemented
1004#466C2×D4311yescharacteristic, complemented
1005#465—431no—
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442C2×D4311yescharacteristic, complemented
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048C4×SD16—431no—
1049C4×SD16—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×D8C2×D4311yescharacteristic, complemented
1059C4×D8C2×D4311yescharacteristic, complemented
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405C2×D4311yescharacteristic, complemented
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41—861no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8C22×D4311yescharacteristic
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16C22×D4311yescharacteristic
1117C22×C8—431no—
1118C22×C8C22×D4311yescharacteristic
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122#127—431no—
1123#127—431no—
1124#127—861no—
1125#127—861no—
1126#127—861no—
1127#127C22×D4311yescharacteristic
1128#127C22×D4311yescharacteristic
1129#126—431no—
1130#126—431no—
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#125—861no—
1142#125—861no—
1143#125C22×D4311yescharacteristic
1144#125C22×D4311yescharacteristic
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—431no—
1156#123—431no—
1157#123—861no—
1158#123—861no—
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—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
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#121C22×D4311yescharacteristic
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
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×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4C22×D4311yescharacteristic
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107C22×D4311yescharacteristic
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#102—431no—
1321#102—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
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97C22×D4311yescharacteristic
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8C22×D4311yescharacteristic
1359C4×C8C22×D4311yescharacteristic
1360C24—861no—
1361C24—861no—
1362#41—862no—
1363#41—862no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—431no—
1376C2×Q8—431no—
1377C2×Q8—861no—
1378C2×Q8—861no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—3442no—
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—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—861no—
1426C22×C4—861no—
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—861no—
1443C22×C4—3442no—
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—434no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—862no—
1457D8—862no—
1458D8—862no—
1459D8—1721no—
1460D8—1721no—
1461M16—41no—
1462M16—862no—
1463M16—862no—
1464M16—1721no—
1465C2×C8—22no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
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—431no—
1490C4⋊C4—431no—
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⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—431no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—431no—
1576C23—431no—
1577C23—861no—
1578C23—861no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23—1722no—
1585C23C2×D4×D4311yescharacteristic
1586Q8—432no—
1587Q8—861no—
1588Q8—861no—
1589Q8—861no—
1590Q8—3441no—
1591Q8—1721no—
1592Q8—1722no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—432no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—1721no—
1622D4—1721no—
1623D4—1721no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—431no—
1643C2×C4—431no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—3441no—
1659C2×C4—3441no—
1660C2×C4—3441no—
1661C2×C4—3441no—
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—1721no—
1671C2×C4—1721no—
1672C2×C4—1722no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8#41×D4312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—861no—
1708C22—861no—
1709C22—862no—
1710C22—861no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—3444no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—861no—
1732C4—861no—
1733C4—862no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—3441no—
1751C2—1721no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914808111yescharacteristic
1755C2#1914937011yescharacteristic
1756C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3176C2
socleC22×C43C23×D4
hypercenter#3176D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3176

Complements

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

NH ≅ G/Ntype
1. #19148597C2semidirect
2. #19148533C2semidirect
3. #19147642C2semidirect
4. #19147546C2semidirect
5. #19147358C2semidirect
6. #19147299C2semidirect
7. #19147154C2semidirect
8. #19147071C2semidirect
9. #19147071C2semidirect
10. #19146917C2semidirect
11. #19146791C2semidirect
12. #19146735C2semidirect
13. #19146720C2semidirect
14. #19146596C2semidirect
15. #19146551C2semidirect
16. #19146214C2semidirect
17. #19146132C2semidirect
18. #19146132C2semidirect
19. #19145282C2semidirect
20. #19145188C2semidirect
21. #19144876C2semidirect
22. #19144837C2semidirect
23. #19144788C2semidirect
24. #19144788C2semidirect
25. #19144700C2semidirect
26. #19144684C2semidirect
27. #19143576C2semidirect
28. #19143480C2semidirect
29. #19143420C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3176C2semidirect
36. #14583626C22semidirect
40. #14583601C22semidirect
48. #14583569C22semidirect
50. #14583567C22semidirect
51. #14583567C22semidirect
53. #14583549C22semidirect
61. #14583500C22semidirect
65. #14583446C22semidirect
73. #14583379C22semidirect
74. #14583378C22semidirect
76. C4×#10621900C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583287C22semidirect
81. #14583287C22semidirect
82. #14583262C22semidirect
83. #14583257C22semidirect
84. #14583252C22semidirect
85. #14583244C22semidirect
86. #14583243C22semidirect
87. #14583231C22semidirect
88. #14583225C22semidirect
90. #14583222C22semidirect
91. #14583219C22semidirect
93. #14583216C22semidirect
94. #14583215C22semidirect
95. #14583215C22semidirect
96. #14583210C22semidirect
97. #14583210C22semidirect
98. #14583209C22semidirect
99. #14583203C22semidirect
100. #14583203C22semidirect
101. #14583201C22semidirect
102. #14583201C22semidirect
105. #14583196C22semidirect
107. #14583187C22semidirect
108. #14583187C22semidirect
109. #14583183C22semidirect
113. #14583146C22semidirect
114. #14583146C22semidirect
115. #14583144C22semidirect
117. #14583127C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583112C22semidirect
121. #14583112C22semidirect
123. #14583096C22semidirect
126. #14583092C22semidirect
127. #14583092C22semidirect
130. #14583062C22semidirect
131. #14583062C22semidirect
134. #14583042C22semidirect
135. #14583042C22semidirect
142. #14583029C22semidirect
143. #14583027C22semidirect
146. #14583011C22semidirect
147. #14583011C22semidirect
149. #14583009C22semidirect
151. #14583007C22semidirect
152. #14583007C22semidirect
153. #14582999C22semidirect
154. #14582999C22semidirect
157. #14582996C22semidirect
158. #14582990C22semidirect
161. C4×#10621873C22semidirect
162. C4×#10621873C22semidirect
163. C4×#10621883C22semidirect
164. C4×#10621883C22semidirect
166. C4×#10621882C22semidirect
169. #14582975C22semidirect
171. #14582970C22semidirect
172. #14582970C22semidirect
173. #14582968C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582940C22semidirect
178. #14582940C22semidirect
179. C2×#13063257C22semidirect
182. #14582901C22semidirect
183. #14582897C22semidirect
184. #14582892C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
189. C43×#540C22semidirect
190. C43×#499C22semidirect
193. C43×#490C22semidirect
194. C43×#469C22semidirect
195. C43×#469C22semidirect
196. C43×#466C22semidirect
197. C43×#466C22semidirect
198. C43×#442C22semidirect
199. C43×#442C22semidirect
200. C4×D8×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
687. #10621873#41semidirect
886. #3176D43semidirect
942. #540C2×D43semidirect
960. #499C2×D43semidirect
966. #490C2×D43semidirect
997. #469C2×D43semidirect
998. #469C2×D43semidirect
1003. #466C2×D43semidirect
1004. #466C2×D43semidirect
1039. #442C2×D43semidirect
1040. #442C2×D43semidirect
1058. C4×D8C2×D43semidirect
1059. C4×D8C2×D43semidirect
1079. #405C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485972
#191485332
#191476422
#191475462
#191473582
#191472992
#191471542
#191470712
#191469172
#191467912
#191467352
#191467202
#191465962
#191465512
#191462142
#191461322
#191452822
#191451882
#191448762
#191448372
#191447882
#191447002
#191446842
#191435762
#191434802
#191434202
C4×#130633492
C43×#31762
#6150743