Finite Group Databasebeta

← #25988922

Subgroups — #25988922

Order 11008.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148406C211yesmaximal, characteristic, complemented
2#19148160C211yesmaximal, characteristic
3#19147627C211yesmaximal, characteristic, complemented
4#19147621C211yesmaximal, characteristic, complemented
5#19147379C211yesmaximal, characteristic, complemented
6#19147373C211yesmaximal, characteristic, complemented
7#19146887C211yesmaximal, characteristic, complemented
8#19146885C211yesmaximal, characteristic, complemented
9#19146644C211yesmaximal, characteristic, complemented
10#19146642C211yesmaximal, characteristic, complemented
11#19146640C211yesmaximal, characteristic, complemented
12#19146238C211yesmaximal, characteristic, complemented
13#19146234C211yesmaximal, characteristic, complemented
14#19146110C211yesmaximal, characteristic, complemented
15#19146106C211yesmaximal, characteristic, complemented
16#19146102C211yesmaximal, characteristic, complemented
17#19146098C211yesmaximal, characteristic, complemented
18#19145967C211yesmaximal, characteristic, complemented
19#19145963C211yesmaximal, characteristic, complemented
20#19145936C211yesmaximal, characteristic, complemented
21#19145625C211yesmaximal, characteristic, complemented
22#19145623C211yesmaximal, characteristic, complemented
23#19145541C211yesmaximal, characteristic, complemented
24#19144755C211yesmaximal, characteristic, complemented
25#19144752C211yesmaximal, characteristic, complemented
26#19144600C211yesmaximal, characteristic, complemented
27#19144081C211yesmaximal, characteristic, complemented
28#19144079C211yesmaximal, characteristic, complemented
29C2×#14583103C211yesmaximal, characteristic, complemented
30#19143707C211yesmaximal, characteristic, complemented
31C43×#3312C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063356C2211yescharacteristic
36C22×#10621873C2211yescharacteristic
37C22×#10621884C2211yescharacteristic
38#14583629—21no—
39#14583627C2211yescharacteristic, complemented
40#14583624C2211yescharacteristic, complemented
41#14583621C2211yescharacteristic
42#14583612C2211yescharacteristic
43#14583608—21no—
44#14583605C2211yescharacteristic
45#14583603—21no—
46#14583603—21no—
47#14583600—21no—
48#14583584C2211yescharacteristic
49#14583581—21no—
50#14583573—21no—
51#14583572—21no—
52D4×Dic86C2211yescharacteristic
53Q8×C22⋊D43C2211yescharacteristic
54Q8×C22⋊D43C2211yescharacteristic, complemented
55#14583562C2211yescharacteristic
56#14583562C2211yescharacteristic, complemented
57#14583551C2211yescharacteristic
58#14583545C2211yescharacteristic
59#14583540C2211yescharacteristic
60#14583528—21no—
61#14583528—21no—
62#14583526—21no—
63#14583453C2211yescharacteristic, complemented
64#14583451C2211yescharacteristic
65#14583451C2211yescharacteristic
66#14583451C2211yescharacteristic, complemented
67C2×#13063323C2211yescharacteristic
68C2×#13063323C2211yescharacteristic, complemented
69C4⋊Q8×D43C2211yescharacteristic, complemented
70#14583435C2211yescharacteristic
71#14583434—21no—
72#14583434C2211yescharacteristic
73#14583432—21no—
74#14583407—21no—
75#14583378—21no—
76C4×#10621902C2211yescharacteristic
77#14583367C2211yescharacteristic
78C4×#10621900C2211yescharacteristic
79C2×#13063287C2211yescharacteristic
80#117×D43—21no—
81#14583293C2211yescharacteristic
82#14583292C2211yescharacteristic
83#14583292C2211yescharacteristic
84#14583291C2211yescharacteristic
85#14583277C2211yescharacteristic, complemented
86#14583277C2211yescharacteristic, complemented
87#14583269C2211yescharacteristic, complemented
88#14583266C2211yescharacteristic, complemented
89#14583266C2211yescharacteristic, complemented
90#14583248C2211yescharacteristic, complemented
91#14583248C2211yescharacteristic, complemented
92#14583243C2211yescharacteristic, complemented
93#14583240C2211yescharacteristic, complemented
94#14583239C2211yescharacteristic, complemented
95#14583229C2211yescharacteristic
96#14583209C2211yescharacteristic, complemented
97#14583208C2211yescharacteristic, complemented
98#14583203C2211yescharacteristic, complemented
99#14583193C2211yescharacteristic, complemented
100#14583193C2211yescharacteristic, complemented
101#14583192C2211yescharacteristic, complemented
102#14583192C2211yescharacteristic, complemented
103#14583188C2211yescharacteristic
104#14583188C2211yescharacteristic
105#14583158C2211yescharacteristic, complemented
106#14583156C2211yescharacteristic, complemented
107#14583155C2211yescharacteristic, complemented
108#14583148C2211yescharacteristic
109#14583147C2211yescharacteristic
110#14583146C2211yescharacteristic
111#14583145C2211yescharacteristic
112#14583140C2211yescharacteristic
113#14583138C2211yescharacteristic
114#14583138C2211yescharacteristic
115#14583124C2211yescharacteristic
116#14583123C2211yescharacteristic
117#14583122C2211yescharacteristic
118#14583121C2211yescharacteristic
119#14583109C2211yescharacteristic, complemented
120#14583108C2211yescharacteristic, complemented
121#14583108C2211yescharacteristic, complemented
122#14583108C2211yescharacteristic, complemented
123#14583108C2211yescharacteristic, complemented
124#14583108C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583107C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583105C2211yescharacteristic
131#14583103C2211yescharacteristic
132#14583103C2211yescharacteristic
133#14583103C2211yescharacteristic
134#14583103C2211yescharacteristic
135#14583103C2211yescharacteristic
136#14583103C2211yescharacteristic
137#14583103C2211yescharacteristic
138#14583103C2211yescharacteristic
139#14583103C2211yescharacteristic
140#14583103C2211yescharacteristic
141#14583103C2211yescharacteristic
142#14583103C2211yescharacteristic
143#14583101C2211yescharacteristic
144#14583064C2211yescharacteristic
145#14583063C2211yescharacteristic
146#14583060C2211yescharacteristic
147#14583059C2211yescharacteristic
148#14583057C2211yescharacteristic
149#14583056C2211yescharacteristic, complemented
150#14583056C2211yescharacteristic, complemented
151#14583055C2211yescharacteristic
152#14583054C2211yescharacteristic
153#14583054C2211yescharacteristic, complemented
154#14583052C2211yescharacteristic
155#14583049C2211yescharacteristic
156#14583040C2211yescharacteristic
157#14583039C2211yescharacteristic
158#14583039C2211yescharacteristic
159#14583038C2211yescharacteristic
160#14583028C2211yescharacteristic, complemented
161#14583027C2211yescharacteristic, complemented
162#14583005C2211yescharacteristic, complemented
163#14583004C2211yescharacteristic, complemented
164#14583003C2211yescharacteristic, complemented
165#14583002C2211yescharacteristic
166#14583001C2211yescharacteristic
167#14582998C2211yescharacteristic
168#14582997C2211yescharacteristic
169#14582986C2211yescharacteristic
170#14582986C2211yescharacteristic
171#14582984C2211yescharacteristic
172#14582984C2211yescharacteristic
173#14582975C2211yescharacteristic, complemented
174#14582974C2211yescharacteristic, complemented
175#14582971C2211yescharacteristic
176#14582970C2211yescharacteristic
177#14582967C2211yescharacteristic
178#14582954C2211yescharacteristic, complemented
179#14582953C2211yescharacteristic, complemented
180#14582949C2211yescharacteristic
181#14582922C2211yescharacteristic, complemented
182#14582921C2211yescharacteristic, complemented
183C2×Dic43⋊C8C2211yescharacteristic
184#14582907C2211yescharacteristic, complemented
185#14582906C2211yescharacteristic, complemented
186#14582906C2211yescharacteristic, complemented
187C2×#13063248C2211yescharacteristic
188C43×#552C2211yescharacteristic
189D4×Q8×C43C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic
196C43×#462C2211yescharacteristic, complemented
197C43×#451C2211yescharacteristic
198C43×#451C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#419C2211yescharacteristic, complemented
202C2×#103×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900D411yescharacteristic
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C2×Q8×D43C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×C4×D43—21no—
212#13063358—42no—
213#13063357—42no—
214#13063357—42no—
215#13063356—42no—
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×Dic172C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621885C2311yescharacteristic
224C2×#10621885C2311yescharacteristic
225C2×#10621873—42no—
226C2×#10621873C2311yescharacteristic
227C2×#10621873C2311yescharacteristic
228C2×#10621873C2311yescharacteristic
229C2×#10621873C2311yescharacteristic
230C2×#10621873C2311yescharacteristic
231C2×#10621873C2311yescharacteristic
232C2×#10621884—42no—
233C2×#10621884C2311yescharacteristic
234C2×#10621884C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621877C2311yescharacteristic
240C2×#10621872C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C22×C43⋊C8C2311yescharacteristic
243#13063325C2311yescharacteristic
244#13063324—21no—
245#13063324—21no—
246#13063324—21no—
247#13063324—21no—
248#13063324—21no—
249#13063324C2311yescharacteristic
250#13063324C2311yescharacteristic
251#13063323—21no—
252#13063323—21no—
253#13063323—21no—
254#13063323—21no—
255#13063323—21no—
256#13063323—21no—
257#13063323C2311yescharacteristic
258#13063323C2311yescharacteristic
259#13063323C2311yescharacteristic
260#13063323C2311yescharacteristic
261#13063323C2311yescharacteristic
262#13063323C2311yescharacteristic
263#13063323C2311yescharacteristic
264#13063323C2311yescharacteristic
265#13063320—21no—
266#13063320—21no—
267#13063320—21no—
268#13063320—21no—
269#13063319—21no—
270#13063317—21no—
271#13063316—21no—
272#13063316C2311yescharacteristic
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063314C2311yescharacteristic
283#13063313—21no—
284#13063313C2311yescharacteristic
285#13063311—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063309—21no—
291#13063308—21no—
292#13063307—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063304—21no—
297#13063304—21no—
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063301—21no—
315#13063301—21no—
316#13063301C2311yescharacteristic
317#13063300—21no—
318#13063300C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063295—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290—21no—
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290D411yescharacteristic
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341C4×D172—21no—
342C4×D172C2311yescharacteristic
343D4×Dic43—21no—
344D4×Dic43D411yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4D411yescharacteristic
364(C22⋊D43)⋊C4D411yescharacteristic
365#13063284—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283—21no—
369#13063283D411yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063281—21no—
376#13063281—21no—
377#13063281—21no—
378#13063281D411yescharacteristic
379#13063281D411yescharacteristic
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C2×Dic43⋊C4—21no—
383C2×Dic43⋊C4—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43—21no—
386C4⋊C4×D43—21no—
387C4⋊C4×D43—21no—
388C2×(C2×D43)⋊C4—21no—
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C2×C4×Dic43C2311yescharacteristic
392C2×C4×Dic43C2311yescharacteristic
393C42×D43—21no—
394C42×D43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C22×Q8×C43C2311yescharacteristic
442C22×Q8×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×M16×C43C2311yescharacteristic
447C22×C8×C43C2311yescharacteristic
448C4⋊Q8×C43—21no—
449C4⋊Q8×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43—21no—
452#125×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#117×C43C2311yescharacteristic
466C2×C4⋊C4×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43—41no—
488C2×Q8×C43—41no—
489C2×Q8×C43—41no—
490C2×Q8×C43—41no—
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43C2×D411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
500C22×C4×C43C2411yescharacteristic
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43C2×D411yescharacteristic
508C22×Dic43C2×D411yescharacteristic
509C22×Dic43C2×D411yescharacteristic
510C22×Dic43C2×D411yescharacteristic
511#10621902—22no—
512#10621902—41no—
513Q8×D43—41no—
514Q8×D43—41no—
515Q8×D43—41no—
516Q8×D43—41no—
517#10621900—24no—
518#10621898—22no—
519#10621898—41no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—22no—
524C2×D172—41no—
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
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×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—44no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2411yescharacteristic
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—41no—
548C2×Dic86—41no—
549C2×Dic86—41no—
550C2×Dic86—41no—
551C2×Dic86C2×D411yescharacteristic
552C2×Dic86C2411yescharacteristic
553C2×Dic86C2411yescharacteristic
554C2×Dic86C2411yescharacteristic
555C2×Dic86C2411yescharacteristic
556Q16×C43—41no—
557Q16×C43—41no—
558Q16×C43—41no—
559M16×C43—41no—
560C2×C8×C43—41no—
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43C2×D411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C4⋊C4×C43C2411yescharacteristic
580C4⋊C4×C43C2411yescharacteristic
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43C2×D411yescharacteristic
587C22⋊C4×C43C2×D411yescharacteristic
588C42×C43—21no—
589C42×C43—21no—
590C42×C43—21no—
591C42×C43C2411yescharacteristic
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597#10621885—41no—
598#10621885—41no—
599#10621885—41no—
600#10621885—41no—
601#10621885—41no—
602#10621885—41no—
603#10621884—22no—
604#10621884—22no—
605#10621884—22no—
606#10621884—41no—
607#10621884—41no—
608#10621884—41no—
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)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
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⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2×D411yescharacteristic
681C4×Dic43C2×D411yescharacteristic
682C4×Dic43C2×D411yescharacteristic
683C4×Dic43C2×D411yescharacteristic
684C4×Dic43C2×D411yescharacteristic
685C4×Dic43C2411yescharacteristic
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688#10621877—41no—
689C2×C43⋊C8—41no—
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694Dic172—41no—
695Dic172—41no—
696Dic172—41no—
697#10621873—22no—
698#10621873—22no—
699#10621873—22no—
700#10621873—41no—
701#10621873—41no—
702#10621873—41no—
703#10621872—41no—
704#10621872—41no—
705C23×C43C22×D411yescharacteristic
706C23×C43C22×D411yescharacteristic
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—42no—
710C22×D43—42no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—21no—
717Q8×C43—21no—
718Q8×C43—21no—
719Q8×C43—21no—
720Q8×C43—21no—
721Q8×C43—81no—
722Q8×C43—81no—
723D4×C43—22no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—42no—
737C2×C4×C43—81no—
738C2×C4×C43—81no—
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C2511yescharacteristic
744C22⋊D43—22no—
745C22⋊D43—22no—
746C22⋊D43—42no—
747C22⋊D43—81no—
748C2×Dic43—22no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—41no—
756C2×Dic43—41no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43#13714yescomplemented
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—21no—
768D172—21no—
769D172—21no—
770D172—42no—
771D172—42no—
772D172—81no—
773D172H(5,𝔽2)12yes—
774C4×D43—21no—
775C4×D43—21no—
776C4×D43—22no—
777C4×D43—41no—
778C4×D43—42no—
779C4×D43—42no—
780C4×D43—42no—
781C4×D43—42no—
782C4×D43—42no—
783C4×D43—42no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43—81no—
788Dic86—22no—
789Dic86—21no—
790Dic86—21no—
791Dic86—21no—
792Dic86—21no—
793Dic86—21no—
794Dic86—21no—
795Dic86—21no—
796Dic86—21no—
797Dic86—42no—
798Dic86—81no—
799Dic86—81no—
800Dic86—81no—
801Dic86—81no—
802Dic86—81no—
803C8×C43—21no—
804C8×C43—21no—
805C8×C43—21no—
806C8×C43—21no—
807C43⋊C8—21no—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811#61960—431nomaximal, Sylow
812C22×C43—21no—
813C22×C43—21no—
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43C2×#13712yes—
818C22×C43C23×D411yescharacteristic
819C2×D43—21no—
820C2×D43—22no—
821C2×D43—21no—
822C2×D43—21no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—84no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43C2×H(5,𝔽2)11yescharacteristic
842C4×C43#58511yescharacteristic
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—21no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43—41no—
853Dic43—41no—
854Dic43C2×#13712yes—
855Dic43C2×#13712yes—
856#3503—431no—
857#3475—431no—
858#3398—431no—
859#3398—431no—
860#3372—431no—
861#3372—431no—
862#3329—431no—
863#3329—431no—
864#3312—431no—
865#3312—431no—
866#3312—431no—
867#3312D4311yescharacteristic, complemented
868#3276—431no—
869#3276—431no—
870#3266—431no—
871#3266—431no—
872#3266—431no—
873#3266—431no—
874#3252—431no—
875#3252—431no—
876#3249—431no—
877#3218—431no—
878#3218—431no—
879#3209—431no—
880#3116—431no—
881#3116—431no—
882#3101—431no—
883#3039—431no—
884#3039—431no—
885C2×#461—431no—
886#2989—431no—
887C2×C43—22no—
888C2×C43—41no—
889C2×C43#348811yescharacteristic
890C2×C43C22×#13711yescharacteristic
891C2×C43#358611yescharacteristic
892D43—41no—
893D43—42no—
894D43—81no—
895C2×#137—431no—
896C2×#137—431no—
897C2×#137—431no—
898C2×#137—431no—
899C22×SD16—431no—
900C22×SD16—431no—
901Q82—861no—
902#557—431no—
903#557—431no—
904#556—431no—
905#555—431no—
906#554—431no—
907#554—861no—
908#554—861no—
909#554—861no—
910#553—861no—
911#552—431no—
912#552—861no—
913#552C2×D4311yescharacteristic
914#551—861no—
915#551—861no—
916D4×Q8—431no—
917D4×Q8—431no—
918D4×Q8—431no—
919D4×Q8—431no—
920D4×Q8—431no—
921D4×Q8C2×D4311yescharacteristic
922#547—431no—
923#546—431no—
924#546—431no—
925#544—861no—
926#544—861no—
927#544—861no—
928#533—431no—
929#533—431no—
930#533—431no—
931#533—431no—
932C2×C4⋊Q8—431no—
933C2×C4⋊Q8—431no—
934C2×C4⋊Q8—431no—
935#529—431no—
936#529—431no—
937#529—861no—
938#529—861no—
939#525—861no—
940#520—861no—
941C4×#41—431no—
942C4×#41—431no—
943C4×#41—431no—
944C2×C4×D4—431no—
945C2×#117—861no—
946#497—431no—
947#497—431no—
948#497—431no—
949#497—431no—
950#494—431no—
951#494—431no—
952#491—431no—
953#491—431no—
954#491—431no—
955#491C2×D4311yescharacteristic, complemented
956#487—431no—
957#487—431no—
958#485—431no—
959#485—431no—
960#485—431no—
961#485C2×D4311yescharacteristic, complemented
962#483—431no—
963#483C2×D4311yescharacteristic
964#479—431no—
965#479—431no—
966#479—431no—
967#479C2×D4311yescharacteristic, complemented
968#477—431no—
969#477—431no—
970#477—431no—
971#477—431no—
972#476—431no—
973#476—431no—
974#470—431no—
975#470—431no—
976#470—431no—
977#470C2×D4311yescharacteristic, complemented
978#468—431no—
979#468—431no—
980#468—431no—
981#468—431no—
982#467—431no—
983#467—431no—
984#467—431no—
985#467C2×D4311yescharacteristic
986#464—431no—
987#464—431no—
988#464—431no—
989#464—431no—
990#462—431no—
991#462—431no—
992#462—431no—
993#462—431no—
994#462—431no—
995#462—431no—
996#462—431no—
997#462—431no—
998#462—431no—
999#462—431no—
1000#462—431no—
1001#462C2×D4311yescharacteristic, complemented
1002#461—431no—
1003#461—431no—
1004#461—431no—
1005#461—431no—
1006#461—431no—
1007#461—431no—
1008#461—431no—
1009#461—431no—
1010#461—431no—
1011#461—431no—
1012#461—431no—
1013#461—431no—
1014#461—431no—
1015#461—431no—
1016#452—431no—
1017#452—431no—
1018#452—431no—
1019#452—431no—
1020#451—431no—
1021#451—431no—
1022#451—431no—
1023#451—431no—
1024#451—431no—
1025#451—431no—
1026#451C2×D4311yescharacteristic
1027#451C2×D4311yescharacteristic, complemented
1028#450—431no—
1029#450—431no—
1030#448—431no—
1031#448—431no—
1032#448—431no—
1033#448—431no—
1034#446—431no—
1035#446—431no—
1036#441—431no—
1037#441—431no—
1038#441—431no—
1039#441C2×D4311yescharacteristic, complemented
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044C4×SD16—431no—
1045C4×SD16—431no—
1046C4×SD16—431no—
1047C4×SD16—431no—
1048#436—431no—
1049#436—431no—
1050#435—431no—
1051#435—431no—
1052#435—431no—
1053#435C2×D4311yescharacteristic
1054#432—431no—
1055#432—431no—
1056#431—431no—
1057#423—431no—
1058#423—431no—
1059C2×C4⋊C8—431no—
1060#419—431no—
1061#419—431no—
1062#419—431no—
1063#419C2×D4311yescharacteristic, complemented
1064C2×#103—431no—
1065C2×#103C2×D4311yescharacteristic
1066C43#6196011yescharacteristic, complemented, Sylow
1067C2×#41—431no—
1068C2×#41—431no—
1069C2×#41—431no—
1070C22×Q8—431no—
1071C22×Q8—431no—
1072C22×Q8—431no—
1073C22×Q8—431no—
1074C22×Q8C22×D4311yescharacteristic
1075C22×Q8C22×D4311yescharacteristic
1076C22×D4—431no—
1077C23×C4—861no—
1078#137—1722no—
1079#137—1722no—
1080#137—1722no—
1081#137—1722no—
1082C2×Q16—431no—
1083C2×Q16—431no—
1084C2×Q16—431no—
1085C2×Q16—431no—
1086C2×Q16—431no—
1087C2×Q16—431no—
1088C2×Q16—431no—
1089C2×Q16—431no—
1090C2×Q16—431no—
1091C2×Q16C22×D4311yescharacteristic
1092C2×Q16C22×D4311yescharacteristic
1093C2×Q16C22×D4311yescharacteristic
1094C2×SD16—431no—
1095C2×SD16—431no—
1096C2×SD16—431no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×SD16—1722no—
1107C2×SD16—1722no—
1108C2×M16—431no—
1109C2×M16—431no—
1110C2×M16—431no—
1111C2×M16C22×D4311yescharacteristic
1112C22×C8—431no—
1113C22×C8C22×D4311yescharacteristic
1114C4⋊Q8—21no—
1115C4⋊Q8—431no—
1116C4⋊Q8—431no—
1117C4⋊Q8—431no—
1118C4⋊Q8—431no—
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—431no—
1123C4⋊Q8—431no—
1124C4⋊Q8—431no—
1125C4⋊Q8—431no—
1126C4⋊Q8—861no—
1127C4⋊Q8—861no—
1128C4⋊Q8—861no—
1129C4⋊Q8—861no—
1130C4⋊Q8—861no—
1131C4⋊Q8—861no—
1132C4⋊Q8—861no—
1133C4⋊Q8—861no—
1134C4⋊Q8—861no—
1135C4⋊Q8—861no—
1136C4⋊Q8—861no—
1137C4⋊Q8C22×D4311yescharacteristic
1138#126—21no—
1139#126—861no—
1140#126—861no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#125—21no—
1145#125—431no—
1146#125—861no—
1147#125—861no—
1148#125—861no—
1149#125—861no—
1150#125—861no—
1151#125—861no—
1152#125—861no—
1153#125—861no—
1154#125—861no—
1155#125—861no—
1156#125—861no—
1157#125C22×D4311yescharacteristic
1158#124—431no—
1159#124—431no—
1160#124—861no—
1161#124—861no—
1162#123—21no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8C22×D4311yescharacteristic
1197C22⋊Q8C22×D4311yescharacteristic
1198C22⋊Q8C22×D4311yescharacteristic
1199C22⋊Q8C22×D4311yescharacteristic
1200#121—431no—
1201#121—431no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#120—861no—
1207#120—861no—
1208C4×Q8—431no—
1209C4×Q8—431no—
1210C4×Q8—431no—
1211C4×Q8—431no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—861no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8—861no—
1222C4×Q8—861no—
1223C4×Q8—861no—
1224C4×Q8C22×D4311yescharacteristic
1225C4×Q8C22×D4311yescharacteristic
1226C4×D4—21no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4C22×D4311yescharacteristic
1252#117—21no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—431no—
1257#117—861no—
1258#117—861no—
1259#117—861no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268#117C22×D4311yescharacteristic
1269C2×C4⋊C4—861no—
1270C2×C4⋊C4—861no—
1271C2×C4⋊C4—861no—
1272C2×C4⋊C4—861no—
1273C2×C4⋊C4—861no—
1274C2×C4⋊C4—861no—
1275C2×C4⋊C4—861no—
1276C2×C4⋊C4—861no—
1277C2×C4⋊C4C22×D4311yescharacteristic
1278C2×C22⋊C4—861no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C42—431no—
1282C2×C42—431no—
1283C2×C42—431no—
1284C2×C42—861no—
1285C2×C42—861no—
1286#107—431no—
1287#107—431no—
1288#107—431no—
1289#107C22×D4311yescharacteristic
1290#106—431no—
1291#106—431no—
1292#106C22×D4311yescharacteristic
1293#106C22×D4311yescharacteristic
1294C4⋊C8—431no—
1295C4⋊C8—431no—
1296C4⋊C8—431no—
1297C4⋊C8—431no—
1298C4⋊C8—431no—
1299C4⋊C8—431no—
1300C4⋊C8—431no—
1301C4⋊C8—431no—
1302C4⋊C8—431no—
1303C4⋊C8C22×D4311yescharacteristic
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103—431no—
1310#103—431no—
1311#103—431no—
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103—431no—
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#103C22×D4311yescharacteristic
1323#103C22×D4311yescharacteristic
1324#103C22×D4311yescharacteristic
1325#103C22×D4311yescharacteristic
1326#103C22×D4311yescharacteristic
1327#103C22×D4311yescharacteristic
1328#103C22×D4311yescharacteristic
1329#103C22×D4311yescharacteristic
1330#103C22×D4311yescharacteristic
1331#103C22×D4311yescharacteristic
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336C22⋊C8—431no—
1337C22⋊C8—431no—
1338C22⋊C8—431no—
1339C22⋊C8—431no—
1340C22⋊C8C22×D4311yescharacteristic
1341C22⋊C8C22×D4311yescharacteristic
1342#97—431no—
1343#97—431no—
1344#97—431no—
1345#97C22×D4311yescharacteristic
1346C4×C8—431no—
1347C4×C8—431no—
1348C24—861no—
1349#41—862no—
1350#41—864no—
1351#41—862no—
1352#41—1721no—
1353#41—1721no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—41no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—431no—
1361C2×Q8—431no—
1362C2×Q8—431no—
1363C2×Q8—431no—
1364C2×Q8—431no—
1365C2×Q8—861no—
1366C2×Q8—861no—
1367C2×Q8—861no—
1368C2×Q8—861no—
1369C2×Q8—861no—
1370C2×Q8—861no—
1371C2×Q8—1721no—
1372C2×Q8—1721no—
1373C2×Q8—1721no—
1374C2×Q8—1721no—
1375C2×Q8—1721no—
1376C2×Q8—1721no—
1377C2×Q8—1721no—
1378C2×Q8—1721no—
1379C2×Q8C23×D4311yescharacteristic
1380C2×Q8C23×D4311yescharacteristic
1381C2×Q8C23×D4311yescharacteristic
1382C2×Q8C23×D4311yescharacteristic
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—862no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—1721no—
1394C2×D4D4×D4311yescharacteristic
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4—1724no—
1418C22×C4C23×D4311yescharacteristic
1419C22×C4C23×D4311yescharacteristic
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423Q16—1721no—
1424Q16—1721no—
1425Q16—1721no—
1426Q16—1721no—
1427Q16—1721no—
1428Q16—1721no—
1429Q16—1721no—
1430Q16—1721no—
1431Q16—1721no—
1432SD16—862no—
1433SD16—862no—
1434SD16—862no—
1435SD16—862no—
1436SD16—862no—
1437SD16—862no—
1438SD16—1721no—
1439SD16—1721no—
1440SD16—1721no—
1441SD16—1721no—
1442SD16—1721no—
1443SD16—1721no—
1444M16—41no—
1445M16—1721no—
1446M16—1721no—
1447M16—1721no—
1448C2×C8—41no—
1449C2×C8—431no—
1450C2×C8—431no—
1451C2×C8—431no—
1452C2×C8—431no—
1453C2×C8—1721no—
1454C2×C8C23×D4311yescharacteristic
1455C2×C8C23×D4311yescharacteristic
1456C2×C8C23×D4311yescharacteristic
1457C2×C8C23×D4311yescharacteristic
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—431no—
1470C4⋊C4—431no—
1471C4⋊C4—431no—
1472C4⋊C4—431no—
1473C4⋊C4—431no—
1474C4⋊C4—431no—
1475C4⋊C4—431no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4D4×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C4⋊C4C23×D4311yescharacteristic
1516C4⋊C4C23×D4311yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4D4×D4311yescharacteristic
1546C22⋊C4D4×D4311yescharacteristic
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—431no—
1551C42—431no—
1552C42—431no—
1553C42—431no—
1554C42—431no—
1555C42—431no—
1556C42—431no—
1557C42—431no—
1558C42—431no—
1559C42—861no—
1560C42—861no—
1561C42—861no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42C23×D4311yescharacteristic
1569C23—431no—
1570C23—861no—
1571C23—861no—
1572C23—3441no—
1573C23—1722no—
1574C23—1722no—
1575C23C2×D4×D4311yescharacteristic
1576C23C2×D4×D4311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—81no—
1587Q8—862no—
1588Q8—861no—
1589Q8—861no—
1590Q8—861no—
1591Q8—861no—
1592Q8—861no—
1593Q8—861no—
1594Q8—861no—
1595Q8—861no—
1596Q8—3441no—
1597Q8—3441no—
1598Q8—3441no—
1599Q8—3441no—
1600Q8—3441no—
1601Q8—1722no—
1602D4—22no—
1603D4—432no—
1604D4—862no—
1605D4—862no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—3441no—
1610D4—3441no—
1611D4—1722no—
1612D4—1722no—
1613D4—1722no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—434no—
1630C2×C4—431no—
1631C2×C4—431no—
1632C2×C4—431no—
1633C2×C4—431no—
1634C2×C4—431no—
1635C2×C4—431no—
1636C2×C4—431no—
1637C2×C4—862no—
1638C2×C4—862no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—3441no—
1648C2×C4—3441no—
1649C2×C4—3441no—
1650C2×C4—3441no—
1651C2×C4—3441no—
1652C2×C4—3441no—
1653C2×C4—1721no—
1654C2×C4—1722no—
1655C2×C4—1722no—
1656C2×C4—1722no—
1657C2×C4—1722no—
1658C2×C4—1722no—
1659C2×C4—1722no—
1660C2×C4—1721no—
1661C2×C4—1721no—
1662C2×C4C2×D4×D4311yescharacteristic
1663C2×C4C2×D4×D4311yescharacteristic
1664C2×C4C2×D4×D4311yescharacteristic
1665C2×C4C2×D4×D4311yescharacteristic
1666C2×C4C24×D4311yescharacteristic
1667C8—21no—
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—861no—
1672C8—861no—
1673C8—861no—
1674C8—861no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—862no—
1684C22—3444no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—1721no—
1689C22—1721no—
1690C22#137×D4312yes—
1691C22C22×D4×D4311yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—432no—
1705C4—432no—
1706C4—861no—
1707C4—861no—
1708C4—861no—
1709C4—861no—
1710C4—861no—
1711C4—1721no—
1712C4—1721no—
1713C4—1721no—
1714C4—1721no—
1715C4—1721no—
1716C4—1721no—
1717C4H(5,𝔽2)×D4311yescharacteristic
1718C4#1458373511yescharacteristic
1719C2—22no—
1720C2—41no—
1721C2—3441no—
1722C2—1721no—
1723C2—1722no—
1724C2#1914825811yescharacteristic
1725C2C2×#137×D4311yescharacteristic
1726C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3312C2
socleC22×C43C23×D4
prime radical#19148160C2
hypercenter#3312D43
hypocenterC43#61960
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #19148406C2semidirect
3. #19147627C2semidirect
4. #19147621C2semidirect
5. #19147379C2semidirect
6. #19147373C2semidirect
7. #19146887C2semidirect
8. #19146885C2semidirect
9. #19146644C2semidirect
10. #19146642C2semidirect
11. #19146640C2semidirect
12. #19146238C2semidirect
13. #19146234C2semidirect
14. #19146110C2semidirect
15. #19146106C2semidirect
16. #19146102C2semidirect
17. #19146098C2semidirect
18. #19145967C2semidirect
19. #19145963C2semidirect
20. #19145936C2semidirect
21. #19145625C2semidirect
22. #19145623C2semidirect
23. #19145541C2semidirect
24. #19144755C2semidirect
25. #19144752C2semidirect
26. #19144600C2semidirect
27. #19144081C2semidirect
28. #19144079C2semidirect
29. C2×#14583103C2semidirect
30. #19143707C2semidirect
31. C43×#3312C2semidirect
39. #14583627C22semidirect
40. #14583624C22semidirect
54. Q8×C22⋊D43C22semidirect
56. #14583562C22semidirect
63. #14583453C22semidirect
66. #14583451C22semidirect
68. C2×#13063323C22semidirect
69. C4⋊Q8×D43C22semidirect
85. #14583277C22semidirect
86. #14583277C22semidirect
87. #14583269C22semidirect
88. #14583266C22semidirect
89. #14583266C22semidirect
90. #14583248C22semidirect
91. #14583248C22semidirect
92. #14583243C22semidirect
93. #14583240C22semidirect
94. #14583239C22semidirect
96. #14583209C22semidirect
97. #14583208C22semidirect
98. #14583203C22semidirect
99. #14583193C22semidirect
100. #14583193C22semidirect
101. #14583192C22semidirect
102. #14583192C22semidirect
105. #14583158C22semidirect
106. #14583156C22semidirect
107. #14583155C22semidirect
119. #14583109C22semidirect
120. #14583108C22semidirect
121. #14583108C22semidirect
122. #14583108C22semidirect
123. #14583108C22semidirect
124. #14583108C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583107C22semidirect
128. #14583107C22semidirect
129. #14583107C22semidirect
149. #14583056C22semidirect
150. #14583056C22semidirect
153. #14583054C22semidirect
160. #14583028C22semidirect
161. #14583027C22semidirect
162. #14583005C22semidirect
163. #14583004C22semidirect
164. #14583003C22semidirect
173. #14582975C22semidirect
174. #14582974C22semidirect
178. #14582954C22semidirect
179. #14582953C22semidirect
181. #14582922C22semidirect
182. #14582921C22semidirect
184. #14582907C22semidirect
185. #14582906C22semidirect
186. #14582906C22semidirect
190. C43×#491C22semidirect
191. C43×#485C22semidirect
193. C43×#479C22semidirect
194. C43×#470C22semidirect
196. C43×#462C22semidirect
198. C43×#451C22semidirect
199. C43×#441C22semidirect
201. C43×#419C22semidirect
759. C2×Dic43#137semidirect
867. #3312D43semidirect
955. #491C2×D43semidirect
961. #485C2×D43semidirect
967. #479C2×D43semidirect
977. #470C2×D43semidirect
1001. #462C2×D43semidirect
1027. #451C2×D43semidirect
1039. #441C2×D43semidirect
1063. #419C2×D43semidirect
1066. C43#61960semidirect

Maximal subgroups

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

subgroupindex
#191484062
#191481602
#191476272
#191476212
#191473792
#191473732
#191468872
#191468852
#191466442
#191466422
#191466402
#191462382
#191462342
#191461102
#191461062
#191461022
#191460982
#191459672
#191459632
#191459362
#191456252
#191456232
#191455412
#191447552
#191447522
#191446002
#191440812
#191440792
C2×#145831032
#191437072
C43×#33122
#6196043