Finite Group Databasebeta

← #25979633

Subgroups — #25979633

Order 11008.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148670C211yesmaximal, characteristic, complemented
2#19148652C211yesmaximal, characteristic, complemented
3#19147674C211yesmaximal, characteristic, complemented
4#19147553C211yesmaximal, characteristic, complemented
5#19147245C211yesmaximal, characteristic, complemented
6#19147241C211yesmaximal, characteristic, complemented
7#19147164C211yesmaximal, characteristic, complemented
8#19147143C211yesmaximal, characteristic, complemented
9#19147133C211yesmaximal, characteristic, complemented
10#19146508C211yesmaximal, characteristic, complemented
11#19146507C211yesmaximal, characteristic, complemented
12#19146451C211yesmaximal, characteristic, complemented
13#19146441C211yesmaximal, characteristic, complemented
14#19146432C211yesmaximal, characteristic, complemented
15#19146202C211yesmaximal, characteristic, complemented
16#19146123C211yesmaximal, characteristic, complemented
17#19146118C211yesmaximal, characteristic, complemented
18#19145266C211yesmaximal, characteristic, complemented
19#19145258C211yesmaximal, characteristic, complemented
20#19145164C211yesmaximal, characteristic, complemented
21#19144812C211yesmaximal, characteristic, complemented
22#19144802C211yesmaximal, characteristic, complemented
23#19144780C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144709C211yesmaximal, characteristic, complemented
26#19144703C211yesmaximal, characteristic, complemented
27#19143567C211yesmaximal, characteristic, complemented
28#19143430C211yesmaximal, characteristic, complemented
29#19143421C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#3296C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583621C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic, complemented
37#14583618C2211yescharacteristic, complemented
38#14583617C2211yescharacteristic, complemented
39#14583608C2211yescharacteristic, complemented
40#14583605C2211yescharacteristic, complemented
41#14583601C2211yescharacteristic
42#14583597C2211yescharacteristic
43#14583593—21no—
44#14583592—21no—
45#14583589C2211yescharacteristic
46#14583587—21no—
47#14583586—21no—
48#14583580—21no—
49#14583577—21no—
50#14583575—21no—
51#14583574—21no—
52#14583551C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583543C2211yescharacteristic, complemented
56#14583540C2211yescharacteristic, complemented
57#14583522C2211yescharacteristic
58#14583516C2211yescharacteristic
59#14583509C2211yescharacteristic, complemented
60#14583509C2211yescharacteristic, complemented
61#14583497—21no—
62#14583493—21no—
63#14583485—21no—
64#14583484—21no—
65#14583434C2211yescharacteristic, complemented
66#14583431C2211yescharacteristic
67#14583430—21no—
68#14583428C2211yescharacteristic, complemented
69#14583427—21no—
70C2×#13063318—21no—
71#126×D43—21no—
72#14583382C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583374C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic, complemented
77C4×#10621900C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic
84#14583255C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583248C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583242C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic, complemented
92#14583237C2211yescharacteristic, complemented
93#14583234C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583224C2211yescharacteristic
98#14583222C2211yescharacteristic, complemented
99#14583209C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583198C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic, complemented
107#14583187C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic
113#14583143C2211yescharacteristic
114#14583140C2211yescharacteristic, complemented
115#14583139C2211yescharacteristic, complemented
116#14583134C2211yescharacteristic
117#14583131C2211yescharacteristic, complemented
118#14583128C2211yescharacteristic
119#14583127C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583116C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583114C2211yescharacteristic
124#14583113C2211yescharacteristic
125#14583113C2211yescharacteristic
126#14583111C2211yescharacteristic
127#14583108C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583103C2211yescharacteristic, complemented
130#14583102C2211yescharacteristic, complemented
131#14583063C2211yescharacteristic
132#14583062C2211yescharacteristic, complemented
133#14583061C2211yescharacteristic
134#14583060C2211yescharacteristic, complemented
135#14583059C2211yescharacteristic
136#14583052C2211yescharacteristic, complemented
137#14583045C2211yescharacteristic
138#14583043C2211yescharacteristic
139#14583033C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583026C2211yescharacteristic, complemented
142C8×Dic86C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic
144#14583008C2211yescharacteristic
145#14583008C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583006C2211yescharacteristic, complemented
148#14583005C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14583000C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic, complemented
155C4×#10621885C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582977C2211yescharacteristic
171#14582973C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic, complemented
173C8×C22⋊D43C2211yescharacteristic, complemented
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582957C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582955C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#14582934C2211yescharacteristic, complemented
181#14582896C2211yescharacteristic
182#14582894C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184C2×#13063247C2211yescharacteristic, complemented
185#14582854C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#483C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic
193C43×#478C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#450C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic
201C43×#416C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×D172C2311yescharacteristic
207#13063351—24no—
208#13063350—24no—
209#13063346—24no—
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621877C2311yescharacteristic
224C2×#10621877C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323C2311yescharacteristic
230#13063323C2311yescharacteristic
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063319—21no—
237#13063319—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063318D411yescharacteristic
252#13063317C2311yescharacteristic
253#13063316—21no—
254#13063316—21no—
255#13063316D411yescharacteristic
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063314C2311yescharacteristic
262#13063313C2311yescharacteristic
263#13063312—21no—
264#13063312D411yescharacteristic
265#13063312C2311yescharacteristic
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063309—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307D411yescharacteristic
280#13063307D411yescharacteristic
281#13063306—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063305—21no—
286#13063305—21no—
287#13063305D411yescharacteristic
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063301C2311yescharacteristic
301#13063300—21no—
302#13063300C2311yescharacteristic
303#13063299—21no—
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063296D411yescharacteristic
311#13063296C2311yescharacteristic
312#13063295—21no—
313#13063294—21no—
314#13063293—21no—
315Q8×Dic43C2311yescharacteristic
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322#13063290C2311yescharacteristic
323#13063290C2311yescharacteristic
324#13063290C2311yescharacteristic
325C4×D172—21no—
326C4×D172—21no—
327C4×D172—21no—
328C4×D172C2311yescharacteristic
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43C2311yescharacteristic
351C4×C22⋊D43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354#13063284—21no—
355#13063284C2311yescharacteristic
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C2×C22⋊Dic43—21no—
376C2×C22⋊Dic43—21no—
377C2×C22⋊Dic43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43—21no—
384C42×D43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
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
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—22no—
491C2×D4×C43—41no—
492C2×D4×C43C2×D411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513#10621902—22no—
514#10621902—41no—
515#10621900—22no—
516#10621900—41no—
517#10621898—22no—
518#10621898—41no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—22no—
523C2×D172—41no—
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542Q16×C43—41no—
543SD16×C43—22no—
544SD16×C43—41no—
545C2×C8×C43—41no—
546C2×C8×C43—41no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594#10621885—22no—
595#10621885—41no—
596#10621884—22no—
597#10621884—22no—
598#10621883—22no—
599#10621883—22no—
600#10621882—22no—
601#10621882—22no—
602#10621882—41no—
603#10621882#4114yes—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—22no—
676#10621877—22no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681Dic172—41no—
682#10621873—22no—
683#10621873—41no—
684C8×D43—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—42no—
689C23×C43—81no—
690C23×C43—81no—
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43—81no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—41no—
707D4×C43—42no—
708D4×C43—42no—
709D4×C43—81no—
710D4×C43C2×#4112yes—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C2511yescharacteristic
729C22⋊D43—41no—
730C22⋊D43—41no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—81no—
734C22⋊D43—81no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—42no—
742C2×Dic43—81no—
743C2×Dic43—81no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—21no—
756D172—21no—
757D172—21no—
758D172—42no—
759D172—42no—
760D172—81no—
761D172C2×#4112yes—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—41no—
765C4×D43—41no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—41no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61501—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—22no—
796C22×C43—21no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—162no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—22no—
807C2×D43—21no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—162no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43#58511yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43—41no—
839#3521—431no—
840#3521—431no—
841#3402—431no—
842#3389—431no—
843#3360—431no—
844#3360—431no—
845#3352—431no—
846#3350—431no—
847#3350—431no—
848#3302—431no—
849#3302—431no—
850#3297—431no—
851#3297—431no—
852#3296—431no—
853#3296D4311yescharacteristic, complemented
854#3273—431no—
855#3267—431no—
856#3267—431no—
857#3178—431no—
858#3178—431no—
859#3168—431no—
860#3120—431no—
861#3120—431no—
862#3118—431no—
863#3118—431no—
864#3111—431no—
865#3111—431no—
866#2966—431no—
867#2946—431no—
868#2946—431no—
869C4×#135—431no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—42no—
873C2×C43—81no—
874C2×C43D4×#4111yescharacteristic
875C2×C43#358411yescharacteristic
876C2×C43#358411yescharacteristic
877D43—41no—
878D43—42no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#135—431no—
883#556—431no—
884#556—431no—
885#556—431no—
886#556—431no—
887#554—431no—
888#554—431no—
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#552—431no—
894#552—861no—
895#552—861no—
896#552C2×D4311yescharacteristic
897#551—861no—
898#551—861no—
899#551—861no—
900#551—861no—
901#547—431no—
902#547—431no—
903#546—431no—
904#546—431no—
905#546—431no—
906#546C2×D4311yescharacteristic
907#542—431no—
908#542—431no—
909#541—431no—
910#541—431no—
911#539—861no—
912#539—861no—
913#538—861no—
914#538—861no—
915#529—431no—
916#529—431no—
917#529—431no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921C2×#126—861no—
922#520—431no—
923#520—431no—
924#518—431no—
925#518—431no—
926C4×#41—431no—
927C4×#41—431no—
928#501—431no—
929#501—431no—
930#499—431no—
931#497—431no—
932#497—431no—
933#495—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#488C2×D4311yescharacteristic, complemented
938#487—431no—
939#487—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#485—431no—
944#484—431no—
945#484—431no—
946#483—431no—
947#483C2×D4311yescharacteristic, complemented
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic
952#479—431no—
953#479—431no—
954#479—431no—
955#479—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#478C2×D4311yescharacteristic, complemented
960#476—431no—
961#476—431no—
962#474—431no—
963#474—431no—
964#470—431no—
965#470—431no—
966#468—431no—
967#468—431no—
968#467—431no—
969#467—431no—
970#467C2×D4311yescharacteristic, complemented
971#466—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#465C2×D4311yescharacteristic
976#464—431no—
977#464C2×D4311yescharacteristic, complemented
978#463—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#463—431no—
984#462—431no—
985#462—431no—
986#461—431no—
987#461—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#452—431no—
992#452—431no—
993#452C2×D4311yescharacteristic
994#450—431no—
995#450C2×D4311yescharacteristic, complemented
996#449—431no—
997#449—431no—
998#447—431no—
999#447—431no—
1000#446—431no—
1001C8×Q8—431no—
1002#442—431no—
1003#442—431no—
1004#442—431no—
1005#442—431no—
1006#441—431no—
1007#441—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013#440—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029C4×D8—431no—
1030#436—431no—
1031#435—431no—
1032#435—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035C8×D4C2×D4311yescharacteristic
1036#433—431no—
1037#433—431no—
1038#432—431no—
1039#428—431no—
1040#428—431no—
1041#427—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045#416C2×D4311yescharacteristic
1046C2×#102—431no—
1047C2×#102C2×D4311yescharacteristic, complemented
1048#405—431no—
1049#405—431no—
1050C2×C4×C8—431no—
1051C43#6150111yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41C22×D4311yescharacteristic
1056C22×D4—431no—
1057C22×D4C22×D4311yescharacteristic
1058AGL(1,ℤ/8)—864no—
1059AGL(1,ℤ/8)—864no—
1060#135—864no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×Q16C22×D4311yescharacteristic
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16C22×D4311yescharacteristic
1072C2×SD16C22×D4311yescharacteristic
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×D8—431no—
1077C2×M16—431no—
1078C2×M16—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8C22×D4311yescharacteristic
1082C22×C8C22×D4311yescharacteristic
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—431no—
1086C4⋊Q8—431no—
1087#126—21no—
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#125—21no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—431no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124C22×D4311yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—431no—
1132#123—431no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8C22×D4311yescharacteristic
1164C22⋊Q8C22×D4311yescharacteristic
1165C22⋊Q8C22×D4311yescharacteristic
1166#121—21no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121C22×D4311yescharacteristic
1179#120—21no—
1180#120—861no—
1181#120—861no—
1182#120—861no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—21no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117C22×D4311yescharacteristic
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C22⋊C4—861no—
1257C2×C42—431no—
1258C2×C42—861no—
1259C2×C42—861no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107C22×D4311yescharacteristic
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275#106C22×D4311yescharacteristic
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281C4⋊C8C22×D4311yescharacteristic
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8C22×D4311yescharacteristic
1319C22⋊C8C22×D4311yescharacteristic
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323#97—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8—431no—
1328C4×C8—431no—
1329C4×C8C22×D4311yescharacteristic
1330C24—21no—
1331C24—861no—
1332#41—22no—
1333#41—41no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—1721no—
1338#41—1721no—
1339#41—1721no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8—861no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—862no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—1721no—
1365C2×D4D4×D4311yescharacteristic
1366C2×D4C23×D4311yescharacteristic
1367C2×D4C23×D4311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4C23×D4311yescharacteristic
1390C22×C4C23×D4311yescharacteristic
1391Q16—41no—
1392Q16—862no—
1393Q16—1721no—
1394Q16—1721no—
1395SD16—22no—
1396SD16—41no—
1397SD16—862no—
1398SD16—862no—
1399SD16—862no—
1400SD16—862no—
1401SD16—862no—
1402SD16—1721no—
1403D8—434no—
1404D8—862no—
1405D8—862no—
1406D8—1721no—
1407M16—862no—
1408M16—862no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—862no—
1416C2×C8—1721no—
1417C2×C8C23×D4311yescharacteristic
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4D4×D4311yescharacteristic
1516C22⋊C4D4×D4311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—431no—
1520C42—431no—
1521C42—431no—
1522C42—431no—
1523C42—431no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42C23×D4311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—42no—
1538C23—81no—
1539C23—81no—
1540C23—431no—
1541C23—861no—
1542C23—861no—
1543C23—3441no—
1544C23—3441no—
1545C23—1722no—
1546C23C2×D4×D4311yescharacteristic
1547C23C2×D4×D4311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—861no—
1553Q8—861no—
1554Q8—861no—
1555Q8—861no—
1556Q8—3441no—
1557Q8—3441no—
1558Q8—1721no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—42no—
1564D4—42no—
1565D4—81no—
1566D4—432no—
1567D4—861no—
1568D4—861no—
1569D4—861no—
1570D4—3441no—
1571D4—3441no—
1572D4—3441no—
1573D4—1722no—
1574D4—1722no—
1575D4—1721no—
1576D4—1721no—
1577D4—1722no—
1578D4—1722no—
1579D4#41×D4312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—1721no—
1621C2×C4—1721no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4—1722no—
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C2×D4×D4311yescharacteristic
1629C2×C4C24×D4311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—432no—
1635C8—861no—
1636C8—861no—
1637C8—861no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—162no—
1651C22—861no—
1652C22—862no—
1653C22—861no—
1654C22—861no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—1721no—
1659C22—1721no—
1660C22—6882no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4C2×#41×D4311yescharacteristic
1686C4#1458373411yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—42no—
1690C2—81no—
1691C2—3441no—
1692C2—1721no—
1693C2—1722no—
1694C2#1914807911yescharacteristic
1695C2#1914936411yescharacteristic
1696C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3296C2
socleC22×C43C23×D4
hypercenter#3296D43
hypocenterC43#61501
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #19148670C2semidirect
2. #19148652C2semidirect
3. #19147674C2semidirect
4. #19147553C2semidirect
5. #19147245C2semidirect
6. #19147241C2semidirect
7. #19147164C2semidirect
8. #19147143C2semidirect
9. #19147133C2semidirect
10. #19146508C2semidirect
11. #19146507C2semidirect
12. #19146451C2semidirect
13. #19146441C2semidirect
14. #19146432C2semidirect
15. #19146202C2semidirect
16. #19146123C2semidirect
17. #19146118C2semidirect
18. #19145266C2semidirect
19. #19145258C2semidirect
20. #19145164C2semidirect
21. #19144812C2semidirect
22. #19144802C2semidirect
23. #19144780C2semidirect
24. #19144774C2semidirect
25. #19144709C2semidirect
26. #19144703C2semidirect
27. #19143567C2semidirect
28. #19143430C2semidirect
29. #19143421C2semidirect
30. C4×#13063346C2semidirect
31. C43×#3296C2semidirect
35. #14583621C22semidirect
36. #14583620C22semidirect
37. #14583618C22semidirect
38. #14583617C22semidirect
39. #14583608C22semidirect
40. #14583605C22semidirect
55. #14583543C22semidirect
56. #14583540C22semidirect
59. #14583509C22semidirect
60. #14583509C22semidirect
65. #14583434C22semidirect
68. #14583428C22semidirect
74. #14583374C22semidirect
75. #14583373C22semidirect
76. C4×#10621902C22semidirect
77. C4×#10621900C22semidirect
78. #14583307C22semidirect
79. #14583306C22semidirect
80. #14583298C22semidirect
81. #14583292C22semidirect
82. #14583290C22semidirect
84. #14583255C22semidirect
85. #14583254C22semidirect
86. #14583252C22semidirect
87. #14583248C22semidirect
88. #14583248C22semidirect
89. #14583242C22semidirect
90. #14583240C22semidirect
91. #14583239C22semidirect
92. #14583237C22semidirect
93. #14583234C22semidirect
94. #14583232C22semidirect
95. #14583230C22semidirect
96. #14583225C22semidirect
98. #14583222C22semidirect
99. #14583209C22semidirect
100. #14583206C22semidirect
101. #14583204C22semidirect
102. #14583203C22semidirect
103. #14583201C22semidirect
104. #14583200C22semidirect
105. #14583198C22semidirect
106. #14583188C22semidirect
107. #14583187C22semidirect
108. #14583178C22semidirect
109. #14583177C22semidirect
110. #14583155C22semidirect
111. #14583155C22semidirect
114. #14583140C22semidirect
115. #14583139C22semidirect
117. #14583131C22semidirect
119. #14583127C22semidirect
120. #14583122C22semidirect
127. #14583108C22semidirect
128. #14583107C22semidirect
129. #14583103C22semidirect
130. #14583102C22semidirect
132. #14583062C22semidirect
134. #14583060C22semidirect
136. #14583052C22semidirect
141. #14583026C22semidirect
142. C8×Dic86C22semidirect
147. #14583006C22semidirect
148. #14583005C22semidirect
149. #14583002C22semidirect
150. #14583002C22semidirect
151. #14583000C22semidirect
152. #14582998C22semidirect
153. #14582996C22semidirect
154. #14582996C22semidirect
155. C4×#10621885C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
158. #14582990C22semidirect
159. #14582990C22semidirect
160. C4×#10621873C22semidirect
161. SD16×Dic43C22semidirect
162. #14582986C22semidirect
163. #14582984C22semidirect
164. #14582984C22semidirect
171. #14582973C22semidirect
172. #14582973C22semidirect
173. C8×C22⋊D43C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582957C22semidirect
176. #14582957C22semidirect
177. #14582955C22semidirect
178. #14582942C22semidirect
179. #14582939C22semidirect
180. #14582934C22semidirect
182. #14582894C22semidirect
183. #14582892C22semidirect
184. C2×#13063247C22semidirect
185. #14582854C22semidirect
186. #14582854C22semidirect
187. C4×C8×D43C22semidirect
190. C43×#488C22semidirect
191. C43×#483C22semidirect
193. C43×#478C22semidirect
194. C43×#467C22semidirect
196. C43×#464C22semidirect
198. C43×#450C22semidirect
199. C4×SD16×C43C22semidirect
202. C2×#102×C43C22semidirect
853. #3296D43semidirect
937. #488C2×D43semidirect
947. #483C2×D43semidirect
959. #478C2×D43semidirect
970. #467C2×D43semidirect
977. #464C2×D43semidirect
995. #450C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1047. C2×#102C2×D43semidirect
1051. C43#61501semidirect

Maximal subgroups

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

subgroupindex
#191486702
#191486522
#191476742
#191475532
#191472452
#191472412
#191471642
#191471432
#191471332
#191465082
#191465072
#191464512
#191464412
#191464322
#191462022
#191461232
#191461182
#191452662
#191452582
#191451642
#191448122
#191448022
#191447802
#191447742
#191447092
#191447032
#191435672
#191434302
#191434212
C4×#130633462
C43×#32962
#6150143