Finite Group Databasebeta

← #25982061

Subgroups — #25982061

Order 11008.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148436C211yesmaximal, characteristic, complemented
2#41×C22⋊D43C211yesmaximal, characteristic, complemented
3#19146856C211yesmaximal, characteristic, complemented
4#19146804C211yesmaximal, characteristic, complemented
5#19146762C211yesmaximal, characteristic, complemented
6#19146732C211yesmaximal, characteristic, complemented
7#19146714C211yesmaximal, characteristic, complemented
8#19146684C211yesmaximal, characteristic, complemented
9#19146493C211yesmaximal, characteristic, complemented
10#19146441C211yesmaximal, characteristic, complemented
11#19146336C211yesmaximal, characteristic, complemented
12#19146302C211yesmaximal, characteristic, complemented
13#19146219C211yesmaximal, characteristic, complemented
14#19146199C211yesmaximal, characteristic, complemented
15#19146165C211yesmaximal, characteristic, complemented
16#19146138C211yesmaximal, characteristic, complemented
17#19146123C211yesmaximal, characteristic, complemented
18#19146090C211yesmaximal, characteristic, complemented
19#19145636C211yesmaximal, characteristic, complemented
20#19145574C211yesmaximal, characteristic, complemented
21#19145436C211yesmaximal, characteristic, complemented
22#19145425C211yesmaximal, characteristic, complemented
23#19145387C211yesmaximal, characteristic, complemented
24#19145362C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144614C211yesmaximal, characteristic, complemented
27#19143847C211yesmaximal, characteristic, complemented
28#19143838C211yesmaximal, characteristic, complemented
29#19143816C211yesmaximal, characteristic, complemented
30#19143626C211yesmaximal, characteristic, complemented
31C2×C43×#452C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic, complemented
33C2×#13063357C2211yescharacteristic, complemented
34C2×#13063352C2211yescharacteristic, complemented
35C2×#13063350C2211yescharacteristic, complemented
36C2×#13063350C2211yescharacteristic, complemented
37C2×#13063348C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic, complemented
39#14583597—21no—
40#14583597—21no—
41#14583597C2211yescharacteristic
42#14583597C2211yescharacteristic, complemented
43#14583591C2211yescharacteristic, complemented
44#14583591C2211yescharacteristic, complemented
45#14583576—21no—
46#14583576—21no—
47#14583568C2211yescharacteristic
48Q8×C22⋊D43C2211yescharacteristic, complemented
49#14583560C2211yescharacteristic
50#14583560C2211yescharacteristic, complemented
51#14583560C2211yescharacteristic, complemented
52#14583556C2211yescharacteristic
53#14583548—21no—
54#14583548C2211yescharacteristic
55#14583543—21no—
56#14583543C2211yescharacteristic, complemented
57#14583540C2211yescharacteristic, complemented
58#14583540C2211yescharacteristic, complemented
59#14583537—21no—
60#14583537C2211yescharacteristic
61D4×C22⋊D43—21no—
62D4×C22⋊D43C2211yescharacteristic, complemented
63#14583498—21no—
64#14583489—21no—
65#14583461—21no—
66#14583445—21no—
67#14583445C2211yescharacteristic, complemented
68#14583435C2211yescharacteristic, complemented
69#14583435C2211yescharacteristic, complemented
70#14583412C2211yescharacteristic, complemented
71#14583412C2211yescharacteristic, complemented
72#14583410—21no—
73#14583410C2211yescharacteristic
74#14583406—21no—
75#14583406C2211yescharacteristic, complemented
76C2×#13063299C2211yescharacteristic, complemented
77#14583372—21no—
78#41×Dic43C2211yescharacteristic, complemented
79C2×C4×C22⋊D43—21no—
80C2×C4×C22⋊D43C2211yescharacteristic
81#14583292C2211yescharacteristic, complemented
82#14583285C2211yescharacteristic, complemented
83#14583284C2211yescharacteristic, complemented
84#14583280C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583237C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583218C2211yescharacteristic, complemented
100#14583217C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583204C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic, complemented
105#14583155C2211yescharacteristic, complemented
106#14583155C2211yescharacteristic, complemented
107#14583154C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic, complemented
109#14583148C2211yescharacteristic, complemented
110#14583147C2211yescharacteristic, complemented
111#14583147C2211yescharacteristic, complemented
112#14583142C2211yescharacteristic, complemented
113#14583137C2211yescharacteristic, complemented
114#14583135C2211yescharacteristic, complemented
115#14583135C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic, complemented
117#14583131C2211yescharacteristic, complemented
118#14583128C2211yescharacteristic, complemented
119#14583128C2211yescharacteristic, complemented
120#14583125C2211yescharacteristic, complemented
121#14583123C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583123C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic, complemented
127#14583116C2211yescharacteristic, complemented
128#14583113C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583103C2211yescharacteristic, complemented
131#14583097C2211yescharacteristic, complemented
132#14583093C2211yescharacteristic, complemented
133#14583060C2211yescharacteristic, complemented
134#14583060C2211yescharacteristic, complemented
135#14583060C2211yescharacteristic, complemented
136#14583059C2211yescharacteristic, complemented
137#14583059C2211yescharacteristic, complemented
138#14583058C2211yescharacteristic, complemented
139#14583055C2211yescharacteristic, complemented
140#14583053C2211yescharacteristic, complemented
141#14583052C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583047C2211yescharacteristic, complemented
144#14583046C2211yescharacteristic, complemented
145#14583046C2211yescharacteristic, complemented
146#14583045C2211yescharacteristic, complemented
147#14583044C2211yescharacteristic
148#14583044C2211yescharacteristic
149#14583044C2211yescharacteristic, complemented
150#14583044C2211yescharacteristic, complemented
151#14583043C2211yescharacteristic, complemented
152#14583043C2211yescharacteristic, complemented
153#14583039C2211yescharacteristic, complemented
154#14583038C2211yescharacteristic, complemented
155#14583038C2211yescharacteristic, complemented
156#14583038C2211yescharacteristic, complemented
157#14583035C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic, complemented
159#14583033C2211yescharacteristic, complemented
160#14583033C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic, complemented
162#14583006C2211yescharacteristic, complemented
163#14583002C2211yescharacteristic, complemented
164#14583000C2211yescharacteristic, complemented
165Q16×Dic43C2211yescharacteristic, complemented
166SD16×Dic43C2211yescharacteristic, complemented
167#14582984C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic, complemented
169#14582974C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582973C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582949C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic, complemented
181#14582900C2211yescharacteristic, complemented
182#14582900C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#14582863C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic, complemented
187C22⋊C8×D43C2211yescharacteristic, complemented
188C22×#41×C43C2211yescharacteristic
189C22×Q16×C43C2211yescharacteristic, complemented
190C22×SD16×C43C2211yescharacteristic, complemented
191C2×C22⋊Q8×C43C2211yescharacteristic, complemented
192C43×#452C2211yescharacteristic, complemented
193C43×#452C2211yescharacteristic, complemented
194C43×#452C2211yescharacteristic, complemented
195C43×#452C2211yescharacteristic, complemented
196C43×#452C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C2×#103×C43C2211yescharacteristic, complemented
201C2×#102×C43C2211yescharacteristic, complemented
202C2×C22⋊C8×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210#41×D43—42no—
211#41×D43—42no—
212C2×Q8×D43C2311yescharacteristic
213C22×D172C2311yescharacteristic
214C22×C22⋊D43—21no—
215C22×C22⋊D43—21no—
216C22×C22⋊D43D411yescharacteristic
217C2×D4×D43—21no—
218C2×D4×D43C2311yescharacteristic
219C22×C4×D43—21no—
220C22×C4×D43C2311yescharacteristic
221#13063357—42no—
222#13063352—42no—
223#13063350—42no—
224#13063350—42no—
225#13063348—42no—
226#13063346—42no—
227C2×#10621885C2311yescharacteristic
228C2×#10621885C2311yescharacteristic
229C2×#10621873C2311yescharacteristic
230C2×#10621873C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232C2×#10621884C2311yescharacteristic
233C2×#10621884C2311yescharacteristic
234C2×#10621884C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×D344C2311yescharacteristic
238C2×D344C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242C2×#10621882C2311yescharacteristic
243C2×#10621877C2311yescharacteristic
244C2×#10621877C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×C8×D43C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249#13063323—21no—
250#13063323C2311yescharacteristic
251#13063321—21no—
252#13063321C2311yescharacteristic
253#13063320—21no—
254#13063320—21no—
255#13063320—21no—
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063314—21no—
264#13063314—21no—
265#13063314—21no—
266#13063314C2311yescharacteristic
267#13063314C2311yescharacteristic
268#13063314C2311yescharacteristic
269#13063312—21no—
270#13063312C2311yescharacteristic
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063309—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063308—21no—
282#13063308—21no—
283#13063308—21no—
284#13063306—21no—
285#13063306—21no—
286#13063306—21no—
287#13063304—21no—
288#13063304—21no—
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063301—21no—
292#13063301—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301C2311yescharacteristic
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063300—21no—
300#13063300—21no—
301#13063300C2311yescharacteristic
302#13063300C2311yescharacteristic
303#13063299—21no—
304#13063299—21no—
305#13063299—21no—
306#13063299—21no—
307#13063299—21no—
308#13063299—21no—
309#13063299—21no—
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063299C2311yescharacteristic
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063296—21no—
324#13063296—21no—
325#13063296C2311yescharacteristic
326#13063296C2311yescharacteristic
327#13063295—21no—
328#13063295—21no—
329#13063295—21no—
330#13063295—21no—
331#13063294—21no—
332#13063294—21no—
333#13063294—21no—
334#13063293—21no—
335#13063293—21no—
336#13063293—21no—
337Q8×Dic43C2311yescharacteristic
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340Q8×Dic43C2311yescharacteristic
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43D411yescharacteristic
364C4×C22⋊D43D411yescharacteristic
365C4×C22⋊D43D411yescharacteristic
366C4×C22⋊D43D411yescharacteristic
367C4×C22⋊D43C2311yescharacteristic
368C4×C22⋊D43C2311yescharacteristic
369C4×C22⋊D43C2311yescharacteristic
370C4×C22⋊D43C2311yescharacteristic
371(C22⋊D43)⋊C4—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375#13063284—21no—
376#13063284C2311yescharacteristic
377#13063283—21no—
378#13063283—21no—
379#13063283C2311yescharacteristic
380#13063283C2311yescharacteristic
381#13063281—21no—
382#13063281—21no—
383C2×C4⋊Dic43C2311yescharacteristic
384C2×Dic43⋊C4—21no—
385C2×Dic43⋊C4D411yescharacteristic
386C2×C22⋊Dic43—21no—
387C2×C22⋊Dic43D411yescharacteristic
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C2×(C2×D43)⋊C4D411yescharacteristic
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393C2×C4×Dic43—21no—
394C2×C4×Dic43C2311yescharacteristic
395#13063259C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439#13063235C2311yescharacteristic
440#13063235C2311yescharacteristic
441C8×Dic43C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C2×#41×C43—21no—
444C2×#41×C43—21no—
445C2×#41×C43—42no—
446C2×#41×C43—42no—
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C2×#41×C43C2311yescharacteristic
450C2×#41×C43C2311yescharacteristic
451C22×Q8×C43C2311yescharacteristic
452C22×Q8×C43C2311yescharacteristic
453C22×D4×C43—21no—
454C22×D4×C43C2311yescharacteristic
455C23×C4×C43—21no—
456C23×C4×C43C2311yescharacteristic
457C2×Q16×C43—42no—
458C2×Q16×C43C2311yescharacteristic
459C2×Q16×C43C2311yescharacteristic
460C2×Q16×C43C2311yescharacteristic
461C2×Q16×C43C2311yescharacteristic
462C2×SD16×C43—42no—
463C2×SD16×C43C2311yescharacteristic
464C2×SD16×C43C2311yescharacteristic
465C2×SD16×C43C2311yescharacteristic
466C2×SD16×C43C2311yescharacteristic
467C22×C8×C43C2311yescharacteristic
468C22×C8×C43C2311yescharacteristic
469C22⋊Q8×C43—21no—
470C22⋊Q8×C43—21no—
471C22⋊Q8×C43C2311yescharacteristic
472C22⋊Q8×C43C2311yescharacteristic
473C22⋊Q8×C43C2311yescharacteristic
474C22⋊Q8×C43C2311yescharacteristic
475C2×C4⋊C4×C43—21no—
476C2×C4⋊C4×C43C2311yescharacteristic
477C2×C22⋊C4×C43—21no—
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486C22⋊C8×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C22⋊C8×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43C2×D411yescharacteristic
492C23×D43—21no—
493C23×D43—21no—
494C23×D43C2×D411yescharacteristic
495#41×C43—22no—
496#41×C43—22no—
497#41×C43—22no—
498#41×C43—22no—
499#41×C43—41no—
500#41×C43—41no—
501#41×C43—41no—
502#41×C43—41no—
503#41×C43—44no—
504#41×C43—44no—
505C2×Q8×C43—21no—
506C2×Q8×C43—21no—
507C2×Q8×C43—22no—
508C2×Q8×C43—41no—
509C2×Q8×C43—41no—
510C2×Q8×C43—41no—
511C2×Q8×C43C2411yescharacteristic
512C2×Q8×C43C2411yescharacteristic
513C2×Q8×C43C2411yescharacteristic
514C2×Q8×C43C2411yescharacteristic
515C2×D4×C43—21no—
516C2×D4×C43—21no—
517C2×D4×C43—21no—
518C2×D4×C43—21no—
519C2×D4×C43—21no—
520C2×D4×C43—22no—
521C2×D4×C43—41no—
522C2×D4×C43—44no—
523C2×D4×C43C2411yescharacteristic
524C2×D4×C43C2411yescharacteristic
525C22×C4×C43—21no—
526C22×C4×C43—21no—
527C22×C4×C43—21no—
528C22×C4×C43—21no—
529C22×C4×C43—21no—
530C22×C4×C43—21no—
531C22×C4×C43—21no—
532C22×C4×C43—41no—
533C22×C4×C43—41no—
534C22×C4×C43—44no—
535C22×C4×C43C2×D411yescharacteristic
536C22×C4×C43C2×D411yescharacteristic
537C22×C4×C43C2×D411yescharacteristic
538C22×C4×C43C2411yescharacteristic
539C22×C4×C43C2411yescharacteristic
540C22×C4×C43C2411yescharacteristic
541C2×C22⋊D43—21no—
542C2×C22⋊D43—21no—
543C2×C22⋊D43—21no—
544C2×C22⋊D43—21no—
545C2×C22⋊D43—21no—
546C2×C22⋊D43—21no—
547C2×C22⋊D43—21no—
548C2×C22⋊D43—21no—
549C2×C22⋊D43—21no—
550C2×C22⋊D43—21no—
551C2×C22⋊D43—21no—
552C2×C22⋊D43—21no—
553C2×C22⋊D43—21no—
554C2×C22⋊D43—42no—
555C2×C22⋊D43—44no—
556C2×C22⋊D43—44no—
557C2×C22⋊D43C2×D411yescharacteristic
558C2×C22⋊D43C2×D411yescharacteristic
559C2×C22⋊D43C2×D411yescharacteristic
560C2×C22⋊D43C2×D411yescharacteristic
561C22×Dic43—21no—
562C22×Dic43—21no—
563C22×Dic43—21no—
564C22×Dic43—21no—
565C22×Dic43C2×D411yescharacteristic
566C22×Dic43C2×D411yescharacteristic
567C22×Dic43C2×D411yescharacteristic
568#10621902—22no—
569#10621902—41no—
570#10621902—41no—
571#10621902—41no—
572#10621902—41no—
573#10621902—41no—
574Q8×D43—22no—
575Q8×D43—41no—
576#10621900—22no—
577#10621900—41no—
578#10621900—44no—
579D4×D43—22no—
580D4×D43—41no—
581D4×D43—44no—
582#10621898—41no—
583#10621898—41no—
584#10621898—44no—
585C2×D172—21no—
586C2×D172—21no—
587C2×D172—21no—
588C2×D172—21no—
589C2×D172—21no—
590C2×D172—21no—
591C2×D172—41no—
592C2×D172—41no—
593C2×D172C2411yescharacteristic
594C2×D172C2411yescharacteristic
595C2×D172C2411yescharacteristic
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—21no—
600C2×C4×D43—21no—
601C2×C4×D43—21no—
602C2×C4×D43—21no—
603C2×C4×D43—41no—
604C2×C4×D43—41no—
605C2×C4×D43—44no—
606C2×C4×D43C2×D411yescharacteristic
607C2×C4×D43C2×D411yescharacteristic
608C2×C4×D43C2411yescharacteristic
609C2×C4×D43C2411yescharacteristic
610C2×Dic86—21no—
611C2×Dic86C2411yescharacteristic
612Q16×C43—22no—
613Q16×C43—22no—
614Q16×C43—41no—
615Q16×C43—41no—
616SD16×C43—22no—
617SD16×C43—22no—
618SD16×C43—41no—
619SD16×C43—41no—
620C2×C8×C43—41no—
621C2×C8×C43—41no—
622C2×C8×C43C2411yescharacteristic
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C4⋊C4×C43—21no—
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43—21no—
630C4⋊C4×C43—21no—
631C4⋊C4×C43C2411yescharacteristic
632C4⋊C4×C43C2411yescharacteristic
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43C2×D411yescharacteristic
647C22⋊Dic43C2×D411yescharacteristic
648C22⋊Dic43C2×D411yescharacteristic
649C22⋊Dic43C2×D411yescharacteristic
650#10621885—41no—
651#10621885—41no—
652#10621884—22no—
653#10621884—22no—
654#10621884—41no—
655#10621884—41no—
656#10621884—41no—
657#10621884—41no—
658#10621882—22no—
659#10621882—22no—
660#10621882—41no—
661#10621882—41no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4C2×D411yescharacteristic
685(C2×D43)⋊C4C2×D411yescharacteristic
686(C2×D43)⋊C4C2×D411yescharacteristic
687(C2×D43)⋊C4C2×D411yescharacteristic
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43C2411yescharacteristic
696C4⋊Dic43C2411yescharacteristic
697C4⋊Dic43C2411yescharacteristic
698C4⋊Dic43C2411yescharacteristic
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711Dic43⋊C4C2×D411yescharacteristic
712Dic43⋊C4C2×D411yescharacteristic
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43—21no—
717C4×Dic43—21no—
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43C2×D411yescharacteristic
721C4×Dic43C2×D411yescharacteristic
722C4×Dic43C2411yescharacteristic
723C4×Dic43C2411yescharacteristic
724#10621877—41no—
725#10621877—41no—
726C2×C43⋊C8C2411yescharacteristic
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730D344—41no—
731D344—41no—
732#10621873—41no—
733#10621873—41no—
734#10621872—41no—
735#10621872—41no—
736C8×D43—41no—
737C8×D43—41no—
738C23×C43—21no—
739C23×C43—22no—
740C23×C43—21no—
741C23×C43—41no—
742C23×C43—41no—
743C23×C43—42no—
744C23×C43—42no—
745C23×C43—81no—
746C23×C43C22×D411yescharacteristic
747C23×C43C22×D411yescharacteristic
748C23×C43C22×D411yescharacteristic
749C22×D43—21no—
750C22×D43—21no—
751C22×D43—21no—
752C22×D43—41no—
753C22×D43—41no—
754C22×D43—41no—
755C22×D43—42no—
756C22×D43—42no—
757C22×D43—42no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43—81no—
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—21no—
768Q8×C43—21no—
769Q8×C43—21no—
770Q8×C43—42no—
771Q8×C43—81no—
772Q8×C43H(5,𝔽2)12yes—
773D4×C43—24no—
774D4×C43—21no—
775D4×C43—21no—
776D4×C43—21no—
777D4×C43—42no—
778D4×C43—42no—
779D4×C43—42no—
780D4×C43—42no—
781D4×C43H(5,𝔽2)12yes—
782C2×C4×C43—24no—
783C2×C4×C43—21no—
784C2×C4×C43—21no—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—21no—
794C2×C4×C43—21no—
795C2×C4×C43—41no—
796C2×C4×C43—41no—
797C2×C4×C43—41no—
798C2×C4×C43—42no—
799C2×C4×C43—42no—
800C2×C4×C43—42no—
801C2×C4×C43—42no—
802C2×C4×C43—81no—
803C2×C4×C43—81no—
804C2×C4×C43C22×D411yescharacteristic
805C2×C4×C43C22×D411yescharacteristic
806C2×C4×C43C22×D411yescharacteristic
807C2×C4×C43C2511yescharacteristic
808C22⋊D43—22no—
809C22⋊D43—22no—
810C22⋊D43—41no—
811C22⋊D43—41no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—42no—
817C22⋊D43—42no—
818C22⋊D43—42no—
819C22⋊D43—42no—
820C22⋊D43—42no—
821C22⋊D43—42no—
822C22⋊D43—81no—
823C22⋊D43—81no—
824C22⋊D43—81no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—21no—
830C2×Dic43—41no—
831C2×Dic43—41no—
832C2×Dic43—41no—
833C2×Dic43—42no—
834C2×Dic43—42no—
835C2×Dic43—42no—
836C2×Dic43—81no—
837C2×Dic43C22×D411yescharacteristic
838C2×Dic43C22×D411yescharacteristic
839C2×Dic43C22×D411yescharacteristic
840C2×Dic43C22×D411yescharacteristic
841C2×Dic43C22×D411yescharacteristic
842C2×Dic43C22×D411yescharacteristic
843D172—21no—
844D172—21no—
845D172—21no—
846D172—21no—
847D172—21no—
848D172—21no—
849D172—42no—
850D172—81no—
851D172—81no—
852D172—81no—
853D172—81no—
854D172—81no—
855C4×D43—21no—
856C4×D43—21no—
857C4×D43—21no—
858C4×D43—21no—
859C4×D43—41no—
860C4×D43—41no—
861C4×D43—42no—
862C4×D43—42no—
863C4×D43—42no—
864C4×D43—81no—
865C4×D43—81no—
866C4×D43—81no—
867C4×D43—81no—
868Dic86—21no—
869Dic86—21no—
870Dic86—42no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61606—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—22no—
885C22×C43—21no—
886C22×C43—21no—
887C22×C43—21no—
888C22×C43—21no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—82no—
895C22×C43—84no—
896C22×C43#57512yes—
897C22×C43C23×D411yescharacteristic
898C2×D43—21no—
899C2×D43—21no—
900C2×D43—21no—
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—21no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—82no—
914C2×D43—84no—
915C2×D43—162no—
916C4×C43—22no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43—41no—
925C4×C43C2×H(5,𝔽2)11yescharacteristic
926C4×C43C2×H(5,𝔽2)11yescharacteristic
927Dic43—21no—
928Dic43—21no—
929Dic43—21no—
930Dic43—21no—
931Dic43—21no—
932Dic43—21no—
933Dic43—41no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3505—431no—
939D4×#41—431no—
940#3327—431no—
941#3323—431no—
942#3320—431no—
943#3318—431no—
944#3317—431no—
945#3315—431no—
946#3301—431no—
947#3297—431no—
948#3285—431no—
949#3282—431no—
950#3275—431no—
951#3273—431no—
952#3270—431no—
953#3268—431no—
954#3267—431no—
955#3265—431no—
956#3219—431no—
957#3212—431no—
958#3197—431no—
959#3196—431no—
960#3191—431no—
961#3188—431no—
962#3111—431no—
963#3102—431no—
964#3006—431no—
965#3005—431no—
966#3002—431no—
967C2×#452D4311yescharacteristic, complemented
968#2974—431no—
969C2×C43—22no—
970C2×C43—41no—
971C2×C43—42no—
972C2×C43—41no—
973C2×C43—81no—
974C2×C43#348411yescharacteristic
975C2×C43C2×#57511yescharacteristic
976C2×C43#358411yescharacteristic
977D43—41no—
978D43—41no—
979D43—81no—
980D43—81no—
981D43—81no—
982C22×#41—431no—
983C22×#41C2×D4311yescharacteristic
984C2×#137—431no—
985C2×AGL(1,ℤ/8)—431no—
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)—431no—
988C2×#135—431no—
989C2×#135—431no—
990C22×Q16C2×D4311yescharacteristic, complemented
991C22×SD16C2×D4311yescharacteristic, complemented
992#553—431no—
993#553—431no—
994#553—861no—
995#553—861no—
996#552—431no—
997#552—431no—
998#551—861no—
999#551—861no—
1000#550—431no—
1001D4×Q8—431no—
1002#548—431no—
1003#548—431no—
1004#548—431no—
1005#548—431no—
1006#547—431no—
1007#547—861no—
1008#546—431no—
1009#546—431no—
1010#546—431no—
1011#546—431no—
1012#546—861no—
1013#546—861no—
1014D42—431no—
1015D42—861no—
1016#539—861no—
1017#538—861no—
1018#534—861no—
1019#532—431no—
1020#532—861no—
1021#529—431no—
1022#529—431no—
1023#525—431no—
1024#525—431no—
1025#525—431no—
1026#525—431no—
1027#525—861no—
1028#525—861no—
1029C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1030C2×#121—431no—
1031#518—861no—
1032C4×#41—431no—
1033C2×C4×D4—431no—
1034C2×C4×D4—861no—
1035#497—431no—
1036#496—431no—
1037#495—431no—
1038#495—431no—
1039#491—431no—
1040#490—431no—
1041#488—431no—
1042#488—431no—
1043#485—431no—
1044#485—431no—
1045#485—431no—
1046#485—431no—
1047#484—431no—
1048#484—431no—
1049#482—431no—
1050#482—431no—
1051#482—431no—
1052#482—431no—
1053#481—431no—
1054#481—431no—
1055#479—431no—
1056#479—431no—
1057#478—431no—
1058#478—431no—
1059#470—431no—
1060#470—431no—
1061#470—431no—
1062#469—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468—431no—
1067#467—431no—
1068#466—431no—
1069#466—431no—
1070#466—431no—
1071#465—431no—
1072#465—431no—
1073#465—431no—
1074#465—431no—
1075#464—431no—
1076#464—431no—
1077#464—431no—
1078#464—431no—
1079#463—431no—
1080#463—431no—
1081#463—431no—
1082#463—431no—
1083#462—431no—
1084#461—431no—
1085#460—431no—
1086#459—431no—
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452C2×D4311yescharacteristic, complemented
1094#452C2×D4311yescharacteristic, complemented
1095#452C2×D4311yescharacteristic, complemented
1096#452C2×D4311yescharacteristic, complemented
1097#452C2×D4311yescharacteristic, complemented
1098#452C2×D4311yescharacteristic, complemented
1099#452C2×D4311yescharacteristic, complemented
1100#452C2×D4311yescharacteristic, complemented
1101#451—431no—
1102#451—431no—
1103#450—431no—
1104#450—431no—
1105#449—431no—
1106#449—431no—
1107#449—431no—
1108#449—431no—
1109#449—431no—
1110#449—431no—
1111#449—431no—
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#448—431no—
1116#448—431no—
1117#448—431no—
1118#448—431no—
1119#447—431no—
1120#447—431no—
1121#447—431no—
1122#447—431no—
1123#442—431no—
1124#441—431no—
1125#440—431no—
1126#440—431no—
1127C4×Q16—431no—
1128C4×SD16—431no—
1129C4×SD16—431no—
1130C4×D8—431no—
1131#436—431no—
1132#436—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435—431no—
1137C8×D4—431no—
1138C8×D4—431no—
1139#432—431no—
1140#431—431no—
1141#419—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#103C2×D4311yescharacteristic, complemented
1148C2×#102C2×D4311yescharacteristic, complemented
1149#407—431no—
1150#407—431no—
1151C2×C22⋊C8—431no—
1152C2×C22⋊C8C2×D4311yescharacteristic, complemented
1153C43#6160611yescharacteristic, complemented, Sylow
1154C2×#41—21no—
1155C2×#41—21no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—431no—
1163C2×#41—861no—
1164C2×#41—861no—
1165C2×#41—1722no—
1166C2×#41—1722no—
1167C2×#41C22×D4311yescharacteristic
1168C2×#41C22×D4311yescharacteristic
1169C2×#41C22×D4311yescharacteristic
1170C2×#41C22×D4311yescharacteristic
1171C22×Q8—431no—
1172C22×Q8C22×D4311yescharacteristic
1173C22×Q8C22×D4311yescharacteristic
1174C22×D4—21no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C22×D4C22×D4311yescharacteristic
1182C23×C4—21no—
1183C23×C4—431no—
1184C23×C4—861no—
1185C23×C4C22×D4311yescharacteristic
1186#137—1722no—
1187AGL(1,ℤ/8)—1722no—
1188AGL(1,ℤ/8)—1722no—
1189AGL(1,ℤ/8)—1722no—
1190#135—1722no—
1191#135—1722no—
1192C2×Q16—42no—
1193C2×Q16—431no—
1194C2×Q16—431no—
1195C2×Q16C22×D4311yescharacteristic
1196C2×Q16C22×D4311yescharacteristic
1197C2×Q16C22×D4311yescharacteristic
1198C2×Q16C22×D4311yescharacteristic
1199C2×SD16—42no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—431no—
1208C2×SD16C22×D4311yescharacteristic
1209C2×SD16C22×D4311yescharacteristic
1210C2×SD16C22×D4311yescharacteristic
1211C2×SD16C22×D4311yescharacteristic
1212C2×D8—431no—
1213C2×D8—431no—
1214C2×D8—431no—
1215C2×D8—431no—
1216C2×D8—431no—
1217C2×D8—431no—
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16—431no—
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8C22×D4311yescharacteristic
1225C22×C8C22×D4311yescharacteristic
1226C4⋊Q8—431no—
1227C4⋊Q8—861no—
1228#127—431no—
1229#127—861no—
1230#126—861no—
1231#126—861no—
1232#126—861no—
1233#126—861no—
1234#126—861no—
1235#126—861no—
1236#125—431no—
1237#125—431no—
1238#125—861no—
1239#125—861no—
1240#124—431no—
1241#124—431no—
1242#124—431no—
1243#124—431no—
1244#124—861no—
1245#124—861no—
1246#124—861no—
1247#124—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—431no—
1267C22⋊Q8—431no—
1268C22⋊Q8—431no—
1269C22⋊Q8—431no—
1270C22⋊Q8—431no—
1271C22⋊Q8—431no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8C22×D4311yescharacteristic
1279C22⋊Q8C22×D4311yescharacteristic
1280C22⋊Q8C22×D4311yescharacteristic
1281C22⋊Q8C22×D4311yescharacteristic
1282#121—431no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—431no—
1291#121—431no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#120—861no—
1311#120—861no—
1312#120—861no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319#120—861no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—431no—
1330C4×D4—431no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—431no—
1335C4×D4—431no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4—861no—
1350C4×D4—861no—
1351C4×D4—861no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4—861no—
1358#117—431no—
1359#117—431no—
1360#117—431no—
1361#117—861no—
1362#117—861no—
1363#117—861no—
1364#117—861no—
1365#117—861no—
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—431no—
1368C2×C4⋊C4—431no—
1369C2×C4⋊C4—861no—
1370C2×C4⋊C4C22×D4311yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—431no—
1373C2×C22⋊C4—431no—
1374C2×C22⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C42—431no—
1380C2×C42—861no—
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107—431no—
1385#106—431no—
1386#106—431no—
1387#106—431no—
1388#106—431no—
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8—431no—
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#103C22×D4311yescharacteristic
1408#103C22×D4311yescharacteristic
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102C22×D4311yescharacteristic
1422#102C22×D4311yescharacteristic
1423#102C22×D4311yescharacteristic
1424#102C22×D4311yescharacteristic
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8C22×D4311yescharacteristic
1434C22⋊C8C22×D4311yescharacteristic
1435C22⋊C8C22×D4311yescharacteristic
1436C22⋊C8C22×D4311yescharacteristic
1437#97—431no—
1438#97—431no—
1439C4×C8—431no—
1440C4×C8—431no—
1441C24—21no—
1442C24—431no—
1443C24—861no—
1444C24—861no—
1445C24D4×D4311yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—44no—
1456#41—862no—
1457#41—862no—
1458#41—1721no—
1459#41—1721no—
1460#41—1724no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1721no—
1465#41—1721no—
1466#41—1721no—
1467#41—1724no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—431no—
1475C2×Q8—861no—
1476C2×Q8—862no—
1477C2×Q8—1721no—
1478C2×Q8C23×D4311yescharacteristic
1479C2×Q8C23×D4311yescharacteristic
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—44no—
1490C2×D4—431no—
1491C2×D4—431no—
1492C2×D4—431no—
1493C2×D4—431no—
1494C2×D4—431no—
1495C2×D4—431no—
1496C2×D4—431no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—861no—
1505C2×D4—862no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—861no—
1509C2×D4—861no—
1510C2×D4—861no—
1511C2×D4—861no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—1721no—
1518C2×D4—1721no—
1519C2×D4—1721no—
1520C2×D4—1724no—
1521C2×D4—1722no—
1522C2×D4—1724no—
1523C2×D4—1724no—
1524C2×D4C23×D4311yescharacteristic
1525C2×D4C23×D4311yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—44no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—431no—
1540C22×C4—431no—
1541C22×C4—431no—
1542C22×C4—431no—
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—1721no—
1555C22×C4—1721no—
1556C22×C4—1724no—
1557C22×C4D4×D4311yescharacteristic
1558C22×C4D4×D4311yescharacteristic
1559C22×C4D4×D4311yescharacteristic
1560C22×C4C23×D4311yescharacteristic
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—1721no—
1568Q16—1721no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—862no—
1574SD16—862no—
1575SD16—1721no—
1576SD16—1721no—
1577SD16—1721no—
1578SD16—1721no—
1579SD16—1721no—
1580SD16—1721no—
1581D8—862no—
1582D8—862no—
1583D8—1721no—
1584D8—1721no—
1585D8—1721no—
1586D8—1721no—
1587M16—1721no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—431no—
1597C2×C8—1721no—
1598C2×C8—1721no—
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C2×C8C23×D4311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—431no—
1613C4⋊C4—431no—
1614C4⋊C4—431no—
1615C4⋊C4—431no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4C23×D4311yescharacteristic
1634C4⋊C4C23×D4311yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—431no—
1640C22⋊C4—431no—
1641C22⋊C4—431no—
1642C22⋊C4—431no—
1643C22⋊C4—431no—
1644C22⋊C4—431no—
1645C22⋊C4—431no—
1646C22⋊C4—431no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C42—431no—
1679C42—431no—
1680C42—431no—
1681C42—431no—
1682C42—861no—
1683C42—861no—
1684C42—861no—
1685C42—861no—
1686C42—861no—
1687C42—861no—
1688C42—861no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—431no—
1698C23—431no—
1699C23—861no—
1700C23—861no—
1701C23—861no—
1702C23—3441no—
1703C23—3441no—
1704C23—3441no—
1705C23—1721no—
1706C23—1721no—
1707C23—1721no—
1708C23—1722no—
1709C23—1722no—
1710C23—1722no—
1711C23C2×D4×D4311yescharacteristic
1712C23C2×D4×D4311yescharacteristic
1713C23C2×D4×D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—861no—
1724Q8—861no—
1725Q8—1722no—
1726Q8#1306337012yes—
1727D4—24no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—862no—
1736D4—862no—
1737D4—861no—
1738D4—861no—
1739D4—861no—
1740D4—861no—
1741D4—861no—
1742D4—861no—
1743D4—3441no—
1744D4—3441no—
1745D4—3441no—
1746D4—3441no—
1747D4—3441no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—1722no—
1752D4—1721no—
1753D4—1721no—
1754D4—1722no—
1755D4—1722no—
1756D4—1722no—
1757D4—1722no—
1758D4—1722no—
1759D4—1722no—
1760D4—1722no—
1761D4—1722no—
1762D4—1722no—
1763D4—1722no—
1764D4#1306337012yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—431no—
1788C2×C4—431no—
1789C2×C4—431no—
1790C2×C4—431no—
1791C2×C4—431no—
1792C2×C4—431no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—861no—
1797C2×C4—861no—
1798C2×C4—861no—
1799C2×C4—861no—
1800C2×C4—861no—
1801C2×C4—861no—
1802C2×C4—3441no—
1803C2×C4—3441no—
1804C2×C4—3441no—
1805C2×C4—3441no—
1806C2×C4—3441no—
1807C2×C4—1721no—
1808C2×C4—1721no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1721no—
1813C2×C4—1721no—
1814C2×C4—1721no—
1815C2×C4—1722no—
1816C2×C4—1722no—
1817C2×C4—1722no—
1818C2×C4C2×D4×D4311yescharacteristic
1819C2×C4C2×D4×D4311yescharacteristic
1820C2×C4C2×D4×D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—22no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—82no—
1845C22—84no—
1846C22—861no—
1847C22—861no—
1848C22—861no—
1849C22—861no—
1850C22—861no—
1851C22—861no—
1852C22—3444no—
1853C22—3442no—
1854C22—1721no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—1721no—
1862C22—1721no—
1863C22—6882no—
1864C22#1458369812yes—
1865C22C22×D4×D4311yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—861no—
1876C4—861no—
1877C4—861no—
1878C4—861no—
1879C4—861no—
1880C4—861no—
1881C4—1721no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4C2×#1306337011yescharacteristic
1887C4C2×#1306337011yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—3441no—
1894C2—3441no—
1895C2—3441no—
1896C2—1721no—
1897C2—1721no—
1898C2#1914822411yescharacteristic
1899C2C2×#1458369811yescharacteristic
1900C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#452C2
socleC22×C43C23×D4
hypercenterC2×#452D43
hypocenterC43#61606
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. #19148436C2semidirect
2. #41×C22⋊D43C2semidirect
3. #19146856C2semidirect
4. #19146804C2semidirect
5. #19146762C2semidirect
6. #19146732C2semidirect
7. #19146714C2semidirect
8. #19146684C2semidirect
9. #19146493C2semidirect
10. #19146441C2semidirect
11. #19146336C2semidirect
12. #19146302C2semidirect
13. #19146219C2semidirect
14. #19146199C2semidirect
15. #19146165C2semidirect
16. #19146138C2semidirect
17. #19146123C2semidirect
18. #19146090C2semidirect
19. #19145636C2semidirect
20. #19145574C2semidirect
21. #19145436C2semidirect
22. #19145425C2semidirect
23. #19145387C2semidirect
24. #19145362C2semidirect
25. #19144705C2semidirect
26. #19144614C2semidirect
27. #19143847C2semidirect
28. #19143838C2semidirect
29. #19143816C2semidirect
30. #19143626C2semidirect
31. C2×C43×#452C2semidirect
32. C2×#41×D43C22semidirect
33. C2×#13063357C22semidirect
34. C2×#13063352C22semidirect
35. C2×#13063350C22semidirect
36. C2×#13063350C22semidirect
37. C2×#13063348C22semidirect
38. C2×#13063346C22semidirect
42. #14583597C22semidirect
43. #14583591C22semidirect
44. #14583591C22semidirect
48. Q8×C22⋊D43C22semidirect
50. #14583560C22semidirect
51. #14583560C22semidirect
56. #14583543C22semidirect
57. #14583540C22semidirect
58. #14583540C22semidirect
62. D4×C22⋊D43C22semidirect
67. #14583445C22semidirect
68. #14583435C22semidirect
69. #14583435C22semidirect
70. #14583412C22semidirect
71. #14583412C22semidirect
75. #14583406C22semidirect
76. C2×#13063299C22semidirect
78. #41×Dic43C22semidirect
81. #14583292C22semidirect
82. #14583285C22semidirect
83. #14583284C22semidirect
84. #14583280C22semidirect
85. #14583266C22semidirect
86. #14583262C22semidirect
87. #14583255C22semidirect
88. #14583252C22semidirect
89. #14583239C22semidirect
90. #14583238C22semidirect
91. #14583237C22semidirect
92. #14583237C22semidirect
93. #14583235C22semidirect
94. #14583234C22semidirect
95. #14583224C22semidirect
96. #14583224C22semidirect
97. #14583222C22semidirect
98. #14583221C22semidirect
99. #14583218C22semidirect
100. #14583217C22semidirect
101. #14583208C22semidirect
102. #14583204C22semidirect
103. #14583201C22semidirect
104. #14583197C22semidirect
105. #14583155C22semidirect
106. #14583155C22semidirect
107. #14583154C22semidirect
108. #14583151C22semidirect
109. #14583148C22semidirect
110. #14583147C22semidirect
111. #14583147C22semidirect
112. #14583142C22semidirect
113. #14583137C22semidirect
114. #14583135C22semidirect
115. #14583135C22semidirect
116. #14583134C22semidirect
117. #14583131C22semidirect
118. #14583128C22semidirect
119. #14583128C22semidirect
120. #14583125C22semidirect
121. #14583123C22semidirect
122. #14583123C22semidirect
123. #14583123C22semidirect
124. #14583119C22semidirect
125. #14583117C22semidirect
126. #14583116C22semidirect
127. #14583116C22semidirect
128. #14583113C22semidirect
129. #14583107C22semidirect
130. #14583103C22semidirect
131. #14583097C22semidirect
132. #14583093C22semidirect
133. #14583060C22semidirect
134. #14583060C22semidirect
135. #14583060C22semidirect
136. #14583059C22semidirect
137. #14583059C22semidirect
138. #14583058C22semidirect
139. #14583055C22semidirect
140. #14583053C22semidirect
141. #14583052C22semidirect
142. #14583048C22semidirect
143. #14583047C22semidirect
144. #14583046C22semidirect
145. #14583046C22semidirect
146. #14583045C22semidirect
149. #14583044C22semidirect
150. #14583044C22semidirect
151. #14583043C22semidirect
152. #14583043C22semidirect
153. #14583039C22semidirect
154. #14583038C22semidirect
155. #14583038C22semidirect
156. #14583038C22semidirect
157. #14583035C22semidirect
158. #14583034C22semidirect
159. #14583033C22semidirect
160. #14583033C22semidirect
161. #14583008C22semidirect
162. #14583006C22semidirect
163. #14583002C22semidirect
164. #14583000C22semidirect
165. Q16×Dic43C22semidirect
166. SD16×Dic43C22semidirect
167. #14582984C22semidirect
168. #14582979C22semidirect
169. #14582974C22semidirect
170. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582973C22semidirect
173. #14582970C22semidirect
174. #14582970C22semidirect
175. C8×C22⋊D43C22semidirect
176. C8×C22⋊D43C22semidirect
177. #14582953C22semidirect
178. #14582949C22semidirect
179. #14582906C22semidirect
180. #14582902C22semidirect
181. #14582900C22semidirect
182. #14582900C22semidirect
183. #14582894C22semidirect
184. #14582892C22semidirect
185. #14582863C22semidirect
186. #14582861C22semidirect
187. C22⋊C8×D43C22semidirect
189. C22×Q16×C43C22semidirect
190. C22×SD16×C43C22semidirect
191. C2×C22⋊Q8×C43C22semidirect
192. C43×#452C22semidirect
193. C43×#452C22semidirect
194. C43×#452C22semidirect
195. C43×#452C22semidirect
196. C43×#452C22semidirect
197. C43×#452C22semidirect
198. C43×#452C22semidirect
199. C43×#452C22semidirect
200. C2×#103×C43C22semidirect
201. C2×#102×C43C22semidirect
202. C2×C22⋊C8×C43C22semidirect
967. C2×#452D43semidirect
990. C22×Q16C2×D43semidirect
991. C22×SD16C2×D43semidirect
1029. C2×C22⋊Q8C2×D43semidirect
1093. #452C2×D43semidirect
1094. #452C2×D43semidirect
1095. #452C2×D43semidirect
1096. #452C2×D43semidirect
1097. #452C2×D43semidirect
1098. #452C2×D43semidirect
1099. #452C2×D43semidirect
1100. #452C2×D43semidirect
1147. C2×#103C2×D43semidirect
1148. C2×#102C2×D43semidirect
1152. C2×C22⋊C8C2×D43semidirect
1153. C43#61606semidirect

Maximal subgroups

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

subgroupindex
#191484362
#41×C22⋊D432
#191468562
#191468042
#191467622
#191467322
#191467142
#191466842
#191464932
#191464412
#191463362
#191463022
#191462192
#191461992
#191461652
#191461382
#191461232
#191460902
#191456362
#191455742
#191454362
#191454252
#191453872
#191453622
#191447052
#191446142
#191438472
#191438382
#191438162
#191436262
C2×C43×#4522
#6160643