Finite Group Databasebeta

← #25979805

Subgroups — #25979805

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#19148592C211yesmaximal, characteristic, complemented
2#19148540C211yesmaximal, characteristic, complemented
3#19147636C211yesmaximal, characteristic, complemented
4#19147538C211yesmaximal, characteristic, complemented
5#19147364C211yesmaximal, characteristic, complemented
6#19147299C211yesmaximal, characteristic, complemented
7#19147155C211yesmaximal, characteristic, complemented
8#19147068C211yesmaximal, characteristic, complemented
9#19147058C211yesmaximal, characteristic, complemented
10#19146918C211yesmaximal, characteristic, complemented
11#19146802C211yesmaximal, characteristic, complemented
12#19146738C211yesmaximal, characteristic, complemented
13#19146597C211yesmaximal, characteristic, complemented
14#19146562C211yesmaximal, characteristic, complemented
15#19146215C211yesmaximal, characteristic, complemented
16#19146138C211yesmaximal, characteristic, complemented
17#19146138C211yesmaximal, characteristic, complemented
18#19145273C211yesmaximal, characteristic, complemented
19#19145244C211yesmaximal, characteristic, complemented
20#19145183C211yesmaximal, characteristic, complemented
21#19144865C211yesmaximal, characteristic, complemented
22#19144834C211yesmaximal, characteristic, complemented
23#19144801C211yesmaximal, characteristic, complemented
24#19144793C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144683C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143475C211yesmaximal, characteristic, complemented
29#19143430C211yesmaximal, characteristic, complemented
30#19143408C211yesmaximal, characteristic, complemented
31C43×#3317C211yesmaximal, characteristic, complemented
32C2×#13063350C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583625C2211yescharacteristic, complemented
37#14583605C2211yescharacteristic
38#14583602—21no—
39#14583596—21no—
40#14583596C2211yescharacteristic, complemented
41#14583595—21no—
42#14583595C2211yescharacteristic
43#14583593C2211yescharacteristic
44#14583574—21no—
45#14583573—21no—
46#14583569—21no—
47#14583569C2211yescharacteristic, complemented
48#14583568C2211yescharacteristic, complemented
49#14583568C2211yescharacteristic, complemented
50#14583550C2211yescharacteristic
51#14583549—21no—
52#14583549C2211yescharacteristic, complemented
53#14583541—21no—
54#14583540C2211yescharacteristic
55#14583540C2211yescharacteristic
56D4×D172C2211yescharacteristic
57#14583522C2211yescharacteristic
58#14583505C2211yescharacteristic
59#14583503—21no—
60#14583503C2211yescharacteristic, complemented
61#14583502—21no—
62#14583502C2211yescharacteristic, complemented
63#14583497—21no—
64#14583488—21no—
65#14583444—21no—
66#14583444C2211yescharacteristic, complemented
67#14583435C2211yescharacteristic
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583411—21no—
71#123×D43—21no—
72#14583382C2211yescharacteristic, complemented
73#14583381C2211yescharacteristic
74#14583381C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76#41×Dic43C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583275C2211yescharacteristic
84#14583264C2211yescharacteristic
85#14583262C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583227C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic
92#14583223C2211yescharacteristic, complemented
93#14583219C2211yescharacteristic, complemented
94#14583218C2211yescharacteristic
95#14583217C2211yescharacteristic, complemented
96#14583216C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic
102#14583201C2211yescharacteristic, complemented
103#14583200C2211yescharacteristic
104#14583198C2211yescharacteristic, complemented
105#14583196C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic
107#14583188C2211yescharacteristic, complemented
108#14583187C2211yescharacteristic, complemented
109#14583182C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic
111#14583151C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic
114#14583150C2211yescharacteristic
115#14583147C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic, complemented
117#14583135C2211yescharacteristic
118#14583134C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic, complemented
120#14583123C2211yescharacteristic, complemented
121#14583123C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583099C2211yescharacteristic
125#14583095C2211yescharacteristic
126#14583093C2211yescharacteristic
127#14583093C2211yescharacteristic
128#14583093C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic, complemented
130#14583091C2211yescharacteristic
131#14583047C2211yescharacteristic, complemented
132#14583047C2211yescharacteristic, complemented
133#14583044C2211yescharacteristic
134#14583044C2211yescharacteristic
135#14583043C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583035C2211yescharacteristic
138#14583035C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic, complemented
151#14583008C2211yescharacteristic, complemented
152#14583006C2211yescharacteristic, complemented
153#14583002C2211yescharacteristic
154#14583002C2211yescharacteristic
155#14583002C2211yescharacteristic, complemented
156#14583002C2211yescharacteristic, complemented
157#14583000C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic
160C4×#10621884C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic
162#14582984C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic, complemented
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic
171#14582975C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#106×D43C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582899C2211yescharacteristic, complemented
184C2×#13063247C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic
189C43×#550C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#417C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C2×D4×D43—21no—
212C22×C4×D43—21no—
213#13063350—24no—
214#13063350—24no—
215#13063348—24no—
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063322C2311yescharacteristic
237#13063321—21no—
238#13063321—21no—
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063319—21no—
246#13063318—21no—
247#13063318D411yescharacteristic
248#13063317—21no—
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315D411yescharacteristic
254#13063314C2311yescharacteristic
255#13063314C2311yescharacteristic
256#13063313—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311D411yescharacteristic
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063309—21no—
268#13063309—21no—
269#13063309D411yescharacteristic
270#13063308—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306D411yescharacteristic
281#13063305—21no—
282#13063305—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063302—21no—
287#13063302D411yescharacteristic
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300—21no—
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063299—21no—
296#13063299—21no—
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297D411yescharacteristic
310#13063296—21no—
311#13063296—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063295—21no—
318#13063295—21no—
319#13063295—21no—
320#13063295—21no—
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284—21no—
364#13063284—21no—
365#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371C2×C4⋊Dic43—21no—
372C2×C4⋊Dic43C2311yescharacteristic
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445#127×C43—21no—
446#127×C43C2311yescharacteristic
447#126×C43—21no—
448#125×C43—21no—
449#125×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—41no—
486#41×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2×D411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43C2×D411yescharacteristic
521C22×Dic43C2×D411yescharacteristic
522#10621902—22no—
523#10621902—22no—
524#10621902—41no—
525#10621902—41no—
526#10621900—82no—
527#10621900—82no—
528#10621900—82no—
529D4×D43—82no—
530#10621898—82no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—22no—
540C2×D172—22no—
541C2×D172—41no—
542C2×D172—41no—
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
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—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—82no—
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86C2×D411yescharacteristic
566Q16×C43—22no—
567SD16×C43—41no—
568SD16×C43—41no—
569M16×C43—41no—
570C2×C8×C43—41no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43C2×D411yescharacteristic
593C22⋊C4×C43C2×D411yescharacteristic
594C42×C43—21no—
595C42×C43—21no—
596C42×C43—21no—
597C42×C43C2411yescharacteristic
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43C2×D411yescharacteristic
606C22⋊Dic43C2×D411yescharacteristic
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609#10621884—22no—
610#10621884—22no—
611#10621884—22no—
612#10621884#4114yescomplemented
613#10621882—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—22no—
617#10621882—41no—
618#10621882—41no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
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
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682#10621877—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—41no—
689D344—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—21no—
710Q8×C43C2×#4112yes—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—41no—
716D4×C43—42no—
717D4×C43—42no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721D4×C43—81no—
722C2×C4×C43—21no—
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—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—42no—
733C2×C4×C43—42no—
734C2×C4×C43—42no—
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C2511yescharacteristic
740C22⋊D43—41no—
741C22⋊D43—41no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—41no—
757C2×Dic43—41no—
758C2×Dic43—42no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—21no—
775D172—21no—
776D172—21no—
777D172—42no—
778D172—42no—
779D172—42no—
780D172—42no—
781D172—81no—
782D172—81no—
783D172—81no—
784D172—81no—
785D172C2×#4112yes—
786C4×D43—21no—
787C4×D43—21no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—41no—
803Dic86—42no—
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#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
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—22no—
830C2×D43—21no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—22no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
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#3317D4311yescharacteristic, complemented
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179—431no—
886#3176—431no—
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—41no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—41no—
906D43—42no—
907D43—81no—
908D43—81no—
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#552C2×D4311yescharacteristic
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—861no—
929#550C2×D4311yescharacteristic
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—431no—
940#540—431no—
941#540—861no—
942#540—861no—
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#499—431no—
961#496—431no—
962#496—431no—
963#493—431no—
964#490—431no—
965#490—431no—
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#482C2×D4311yescharacteristic, complemented
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481C2×D4311yescharacteristic, complemented
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479C2×D4311yescharacteristic, complemented
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#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468C2×D4311yescharacteristic, complemented
1002#466—431no—
1003#466—431no—
1004#466—431no—
1005#465C2×D4311yescharacteristic, complemented
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460C2×D4311yescharacteristic, complemented
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#452C2×D4311yescharacteristic, complemented
1019#452C2×D4311yescharacteristic, complemented
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#442—431no—
1040#442—431no—
1041#441—431no—
1042#441C2×D4311yescharacteristic, complemented
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×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435C2×D4311yescharacteristic
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#417C2×D4311yescharacteristic, complemented
1076#416C2×D4311yescharacteristic, complemented
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—861no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41C22×D4311yescharacteristic
1089C2×#41C22×D4311yescharacteristic
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×Q16C22×D4311yescharacteristic
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
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—21no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—21no—
1130#126—431no—
1131#126—431no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—21no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—431no—
1142#125—861no—
1143#125—861no—
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—431no—
1153#123—431no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
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—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8C22×D4311yescharacteristic
1181C22⋊Q8C22×D4311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
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#121—861no—
1212#121—861no—
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—861no—
1225C4×Q8C22×D4311yescharacteristic
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
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×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4C22×D4311yescharacteristic
1265#117—21no—
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#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—861no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4C22×D4311yescharacteristic
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#107—431no—
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⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103C22×D4311yescharacteristic
1317#103C22×D4311yescharacteristic
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
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#102—431no—
1337#102—431no—
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⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C24—861no—
1361C24—861no—
1362#41—22no—
1363#41—22no—
1364#41—41no—
1365#41—41no—
1366#41—862no—
1367#41—862no—
1368#41—3442no—
1369#41—3442no—
1370#41—3442no—
1371#41—3442no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—431no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
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—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—3442no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4D4×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—861no—
1424C22×C4—861no—
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—3442no—
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—22no—
1446SD16—41no—
1447SD16—41no—
1448SD16—434no—
1449SD16—862no—
1450SD16—862no—
1451SD16—862no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—41no—
1462M16—862no—
1463M16—862no—
1464M16—1721no—
1465C2×C8—41no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—862no—
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—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
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—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
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⋊C4—861no—
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—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—431no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—431no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—3441no—
1579C23—3441no—
1580C23—3441no—
1581C23—1722no—
1582C23—1722no—
1583C23—1722no—
1584C23C2×D4×D4311yescharacteristic
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—3441no—
1590Q8—1721no—
1591Q8—1722no—
1592Q8#41×D4312yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—41no—
1598D4—42no—
1599D4—42no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—432no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627D4—1722no—
1628D4—1721no—
1629D4—1721no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—431no—
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—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1721no—
1677C2×C4—1721no—
1678C2×C4—1722no—
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—21no—
1688C8—432no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—861no—
1705C22—862no—
1706C22—861no—
1707C22—861no—
1708C22—3444no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—861no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373411yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—3441no—
1750C2—3441no—
1751C2—3441no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914807911yescharacteristic
1755C2#1914937211yescharacteristic
1756C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3317C2
socleC22×C43C23×D4
hypercenter#3317D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #19148592C2semidirect
2. #19148540C2semidirect
3. #19147636C2semidirect
4. #19147538C2semidirect
5. #19147364C2semidirect
6. #19147299C2semidirect
7. #19147155C2semidirect
8. #19147068C2semidirect
9. #19147058C2semidirect
10. #19146918C2semidirect
11. #19146802C2semidirect
12. #19146738C2semidirect
13. #19146597C2semidirect
14. #19146562C2semidirect
15. #19146215C2semidirect
16. #19146138C2semidirect
17. #19146138C2semidirect
18. #19145273C2semidirect
19. #19145244C2semidirect
20. #19145183C2semidirect
21. #19144865C2semidirect
22. #19144834C2semidirect
23. #19144801C2semidirect
24. #19144793C2semidirect
25. #19144705C2semidirect
26. #19144683C2semidirect
27. #19143574C2semidirect
28. #19143475C2semidirect
29. #19143430C2semidirect
30. #19143408C2semidirect
31. C43×#3317C2semidirect
36. #14583625C22semidirect
40. #14583596C22semidirect
47. #14583569C22semidirect
48. #14583568C22semidirect
49. #14583568C22semidirect
52. #14583549C22semidirect
60. #14583503C22semidirect
62. #14583502C22semidirect
66. #14583444C22semidirect
72. #14583382C22semidirect
74. #14583381C22semidirect
76. #41×Dic43C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583298C22semidirect
81. #14583285C22semidirect
82. #14583285C22semidirect
85. #14583262C22semidirect
86. #14583260C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583237C22semidirect
90. #14583227C22semidirect
92. #14583223C22semidirect
93. #14583219C22semidirect
95. #14583217C22semidirect
96. #14583216C22semidirect
97. #14583214C22semidirect
98. #14583211C22semidirect
99. #14583208C22semidirect
100. #14583206C22semidirect
102. #14583201C22semidirect
104. #14583198C22semidirect
105. #14583196C22semidirect
107. #14583188C22semidirect
108. #14583187C22semidirect
109. #14583182C22semidirect
111. #14583151C22semidirect
112. #14583151C22semidirect
115. #14583147C22semidirect
116. #14583147C22semidirect
118. #14583134C22semidirect
119. #14583134C22semidirect
120. #14583123C22semidirect
121. #14583123C22semidirect
122. #14583116C22semidirect
123. #14583116C22semidirect
128. #14583093C22semidirect
129. #14583093C22semidirect
131. #14583047C22semidirect
132. #14583047C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
145. #14583010C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583008C22semidirect
151. #14583008C22semidirect
152. #14583006C22semidirect
155. #14583002C22semidirect
156. #14583002C22semidirect
157. #14583000C22semidirect
158. SD16×Dic43C22semidirect
160. C4×#10621884C22semidirect
162. #14582984C22semidirect
163. #14582984C22semidirect
164. #14582984C22semidirect
165. #14582981C22semidirect
168. #14582979C22semidirect
169. #14582979C22semidirect
171. #14582975C22semidirect
172. #14582973C22semidirect
173. #14582973C22semidirect
174. #14582970C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582939C22semidirect
180. #106×D43C22semidirect
183. #14582899C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#481C22semidirect
193. C43×#479C22semidirect
194. C43×#468C22semidirect
195. C43×#465C22semidirect
196. C43×#460C22semidirect
197. C43×#452C22semidirect
198. C43×#452C22semidirect
199. C43×#441C22semidirect
201. C43×#417C22semidirect
202. C43×#416C22semidirect
612. #10621884#41semidirect
879. #3317D43semidirect
966. #490C2×D43semidirect
974. #482C2×D43semidirect
979. #481C2×D43semidirect
984. #479C2×D43semidirect
1001. #468C2×D43semidirect
1005. #465C2×D43semidirect
1011. #460C2×D43semidirect
1018. #452C2×D43semidirect
1019. #452C2×D43semidirect
1042. #441C2×D43semidirect
1075. #417C2×D43semidirect
1076. #416C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485922
#191485402
#191476362
#191475382
#191473642
#191472992
#191471552
#191470682
#191470582
#191469182
#191468022
#191467382
#191465972
#191465622
#191462152
#191461382
#191452732
#191452442
#191451832
#191448652
#191448342
#191448012
#191447932
#191447052
#191446832
#191435742
#191434752
#191434302
#191434082
C43×#33172
#6150743