Finite Group Databasebeta

← #25977953

Subgroups — #25977953

Order 11008.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148488C211yesmaximal, characteristic, complemented
2#19148456C211yesmaximal, characteristic, complemented
3#19147683C211yesmaximal, characteristic, complemented
4#19147680C211yesmaximal, characteristic, complemented
5#19147676C211yesmaximal, characteristic, complemented
6#19147674C211yesmaximal, characteristic, complemented
7#19147666C211yesmaximal, characteristic, complemented
8#19147665C211yesmaximal, characteristic, complemented
9#19147659C211yesmaximal, characteristic, complemented
10#19147647C211yesmaximal, characteristic, complemented
11#19147645C211yesmaximal, characteristic, complemented
12#19147630C211yesmaximal, characteristic, complemented
13#19147627C211yesmaximal, characteristic, complemented
14#19147592C211yesmaximal, characteristic, complemented
15#19147587C211yesmaximal, characteristic, complemented
16#19147580C211yesmaximal, characteristic, complemented
17#19147579C211yesmaximal, characteristic, complemented
18#19145087C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19145056C211yesmaximal, characteristic, complemented
21#19144146C211yesmaximal, characteristic, complemented
22#19144131C211yesmaximal, characteristic, complemented
23#19144123C211yesmaximal, characteristic, complemented
24#19144102C211yesmaximal, characteristic, complemented
25#19144047C211yesmaximal, characteristic, complemented
26#464×D43C211yesmaximal, characteristic, complemented
27#19143543C211yesmaximal, characteristic, complemented
28#19143437C211yesmaximal, characteristic, complemented
29#19143424C211yesmaximal, characteristic, complemented
30C4×#13063354C211yesmaximal, characteristic, complemented
31C43×#3401C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063354C2211yescharacteristic
35C2×#13063352C2211yescharacteristic
36C2×#13063349C2211yescharacteristic
37C2×#13063346C2211yescharacteristic
38C2×#13063344C2211yescharacteristic
39C2×Q16×D43C2211yescharacteristic
40C2×SD16×D43C2211yescharacteristic
41#14583635C2211yescharacteristic
42#14583632C2211yescharacteristic
43#14583632C2211yescharacteristic, complemented
44#14583631C2211yescharacteristic
45#14583631C2211yescharacteristic, complemented
46#14583627C2211yescharacteristic, complemented
47#14583624C2211yescharacteristic, complemented
48#14583622C2211yescharacteristic
49#14583622C2211yescharacteristic, complemented
50#14583621C2211yescharacteristic
51#14583621C2211yescharacteristic, complemented
52#14583619C2211yescharacteristic
53#14583618C2211yescharacteristic
54#14583618C2211yescharacteristic, complemented
55#14583616—21no—
56#14583603—21no—
57#14583585—21no—
58#14583582—21no—
59#14583579—21no—
60#14583578—21no—
61#14583577—21no—
62#14583572—21no—
63#14583517—21no—
64#14583513—21no—
65#14583495—21no—
66#14583490—21no—
67#14583474C2211yescharacteristic
68#14583469C2211yescharacteristic
69#14583469C2211yescharacteristic
70#14583462C2211yescharacteristic
71#14583453C2211yescharacteristic
72#14583448C2211yescharacteristic
73#14583432—21no—
74#14583429—21no—
75#14583427—21no—
76#14583426—21no—
77#124×D43C2211yescharacteristic
78#14583381C2211yescharacteristic
79#14583378C2211yescharacteristic
80#14583375C2211yescharacteristic
81#14583371C2211yescharacteristic
82C4×#10621900C2211yescharacteristic
83C4×Q8×D43C2211yescharacteristic
84#14583293C2211yescharacteristic
85#14583293C2211yescharacteristic, complemented
86#14583292C2211yescharacteristic
87#14583292C2211yescharacteristic, complemented
88#14583290C2211yescharacteristic
89#14583290C2211yescharacteristic
90#14583290C2211yescharacteristic, complemented
91#14583287C2211yescharacteristic
92#14583287C2211yescharacteristic
93#14583285C2211yescharacteristic
94#14583283C2211yescharacteristic
95#14583282C2211yescharacteristic
96#14583281C2211yescharacteristic
97#14583281C2211yescharacteristic
98#14583281C2211yescharacteristic
99#14583281C2211yescharacteristic, complemented
100#14583280C2211yescharacteristic, complemented
101#14583278C2211yescharacteristic, complemented
102#14583277C2211yescharacteristic, complemented
103#14583271C2211yescharacteristic
104#14583270C2211yescharacteristic
105#14583124C2211yescharacteristic
106#14583123C2211yescharacteristic
107#14583122C2211yescharacteristic
108#14583122C2211yescharacteristic, complemented
109#14583121C2211yescharacteristic
110#14583121C2211yescharacteristic
111#14583120C2211yescharacteristic
112#14583120C2211yescharacteristic, complemented
113#14583120C2211yescharacteristic, complemented
114#14583119C2211yescharacteristic
115#14583119C2211yescharacteristic
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic
118#14583118C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583118C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic
122#14583116C2211yescharacteristic
123#14583115C2211yescharacteristic
124#14583115C2211yescharacteristic
125#14583114C2211yescharacteristic
126#14583114C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic
128#14583112C2211yescharacteristic, complemented
129#14583110C2211yescharacteristic, complemented
130#14583110C2211yescharacteristic, complemented
131#14583109C2211yescharacteristic, complemented
132#14583108C2211yescharacteristic, complemented
133#14583108C2211yescharacteristic, complemented
134#14583108C2211yescharacteristic, complemented
135#14583107C2211yescharacteristic, complemented
136#14583104C2211yescharacteristic, complemented
137#14583103C2211yescharacteristic
138#14583102C2211yescharacteristic
139#14583102C2211yescharacteristic, complemented
140#14583102C2211yescharacteristic, complemented
141#14583101C2211yescharacteristic
142#14583098C2211yescharacteristic, complemented
143#14583097C2211yescharacteristic
144#14583093C2211yescharacteristic
145#14583092C2211yescharacteristic, complemented
146#14583091C2211yescharacteristic
147#14583027C2211yescharacteristic, complemented
148#14583027C2211yescharacteristic, complemented
149#14583026C2211yescharacteristic, complemented
150#14583026C2211yescharacteristic, complemented
151#14583026C2211yescharacteristic, complemented
152Q8×C43⋊C8C2211yescharacteristic, complemented
153C8×Dic86C2211yescharacteristic, complemented
154#14583008C2211yescharacteristic
155#14583005C2211yescharacteristic, complemented
156#14583003C2211yescharacteristic, complemented
157#14583003C2211yescharacteristic, complemented
158#14583002C2211yescharacteristic, complemented
159#14583001C2211yescharacteristic
160#14583001C2211yescharacteristic, complemented
161#14583000C2211yescharacteristic, complemented
162#14582996C2211yescharacteristic
163#14582996C2211yescharacteristic, complemented
164C4×Dic172C2211yescharacteristic, complemented
165Q16×Dic43C2211yescharacteristic, complemented
166C4×#10621885C2211yescharacteristic, complemented
167C4×#10621885C2211yescharacteristic, complemented
168C4×#10621884C2211yescharacteristic, complemented
169#14582986C2211yescharacteristic
170#14582986C2211yescharacteristic, complemented
171C4×#10621883C2211yescharacteristic
172C4×#10621883C2211yescharacteristic, complemented
173D8×Dic43C2211yescharacteristic
174C4×#10621882C2211yescharacteristic
175#14582938C2211yescharacteristic
176#14582924C2211yescharacteristic
177#14582924C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic
186#14582856C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#556C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#441C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063357—24no—
210#13063354—24no—
211#13063354—42no—
212#13063352—42no—
213#13063349—24no—
214#13063346—42no—
215#13063344—42no—
216C2×Dic172C2311yescharacteristic
217C2×Dic172C2311yescharacteristic
218C2×Dic172C2311yescharacteristic
219C2×Dic172C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621885C2311yescharacteristic
224C2×#10621885C2311yescharacteristic
225C2×#10621885C2311yescharacteristic
226Q16×D43—42no—
227C2×#10621873C2311yescharacteristic
228C2×#10621873C2311yescharacteristic
229C2×#10621873C2311yescharacteristic
230C2×#10621873C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621883C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×#10621884C2311yescharacteristic
240SD16×D43—42no—
241C2×D344C2311yescharacteristic
242C2×#10621882C2311yescharacteristic
243C2×#10621882C2311yescharacteristic
244C2×#10621882C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×C8×D43C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249#13063325C2311yescharacteristic
250#13063325C2311yescharacteristic
251#13063324D411yescharacteristic
252#13063323D411yescharacteristic
253#13063323C2311yescharacteristic
254#13063323C2311yescharacteristic
255#13063323C2311yescharacteristic
256#13063323C2311yescharacteristic
257#13063321C2311yescharacteristic
258#13063321C2311yescharacteristic
259#13063320—21no—
260#13063320—21no—
261#13063320—21no—
262#13063320—21no—
263#13063320—21no—
264#13063320—21no—
265#13063319—21no—
266#13063319—21no—
267#13063318—21no—
268#13063318—21no—
269#13063318—21no—
270#13063318—21no—
271#13063318—21no—
272#13063318—21no—
273#13063317—21no—
274#13063316—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315D411yescharacteristic
280#13063315D411yescharacteristic
281#13063314C2311yescharacteristic
282#13063314C2311yescharacteristic
283#13063313C2311yescharacteristic
284#13063313C2311yescharacteristic
285#13063313C2311yescharacteristic
286#13063313C2311yescharacteristic
287#13063312—21no—
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063312C2311yescharacteristic
291#13063312C2311yescharacteristic
292#13063311—21no—
293#13063311—21no—
294#13063311—21no—
295#13063311—21no—
296#13063311—21no—
297#13063311—21no—
298#13063310—21no—
299#13063310—21no—
300#13063309—21no—
301#13063309—21no—
302#13063308—21no—
303#13063308—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307—21no—
307#13063307—21no—
308#13063307—21no—
309#13063307—21no—
310#13063307—21no—
311#13063307—21no—
312#13063306—21no—
313#13063306—21no—
314#13063305D411yescharacteristic
315#13063304—21no—
316#13063303—21no—
317#13063303—21no—
318#13063303—21no—
319#13063303—21no—
320#13063303D411yescharacteristic
321#13063303D411yescharacteristic
322#13063302—21no—
323#13063302—21no—
324#13063302—21no—
325#13063302—21no—
326#13063302—21no—
327#13063302—21no—
328#13063301—21no—
329#13063301—21no—
330#13063301D411yescharacteristic
331#13063298—21no—
332#13063298—21no—
333#13063297—21no—
334#13063297—21no—
335#13063293—21no—
336#13063293—21no—
337Q8×Dic43C2311yescharacteristic
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86—21no—
342C4×Dic86—21no—
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346C4×Dic86C2311yescharacteristic
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349C4×Dic86C2311yescharacteristic
350#13063290—21no—
351#13063290—21no—
352#13063290—21no—
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357C4×D172—21no—
358C4×D172C2311yescharacteristic
359C4×D172C2311yescharacteristic
360D4×Dic43—21no—
361D4×Dic43C2311yescharacteristic
362D4×Dic43C2311yescharacteristic
363D4×Dic43C2311yescharacteristic
364#13063287—21no—
365#13063287C2311yescharacteristic
366#13063287C2311yescharacteristic
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372(C22⋊D43)⋊C4—21no—
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379#13063284—21no—
380#13063283—21no—
381#13063283—21no—
382#13063283—21no—
383#13063283C2311yescharacteristic
384#13063282—21no—
385#13063282—21no—
386#13063282—21no—
387#13063282—21no—
388#13063282C2311yescharacteristic
389#13063282C2311yescharacteristic
390#13063281—21no—
391#13063281—21no—
392#13063281—21no—
393#13063281—21no—
394C2×Dic43⋊C4—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43C2311yescharacteristic
398C2×(C2×D43)⋊C4—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43—21no—
401C22⋊C4×D43—21no—
402C2×C4×Dic43—21no—
403C42×D43—21no—
404C42×D43C2311yescharacteristic
405#13063259C2311yescharacteristic
406#13063258C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410C4⋊(C43⋊C8)C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412Dic43⋊C8C2311yescharacteristic
413Dic43⋊C8C2311yescharacteristic
414Dic43⋊C8C2311yescharacteristic
415Dic43⋊C8C2311yescharacteristic
416Dic43⋊C8C2311yescharacteristic
417#13063250C2311yescharacteristic
418#13063250C2311yescharacteristic
419#13063250C2311yescharacteristic
420#13063250C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063249C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063247C2311yescharacteristic
429#13063247C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C4×C43⋊C8C2311yescharacteristic
440C4×C43⋊C8C2311yescharacteristic
441C4×C43⋊C8C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454#127×C43C2311yescharacteristic
455#126×C43—21no—
456#126×C43—21no—
457#124×C43—21no—
458#124×C43C2311yescharacteristic
459#124×C43C2311yescharacteristic
460#124×C43C2311yescharacteristic
461#124×C43C2311yescharacteristic
462#123×C43—21no—
463#123×C43—21no—
464C22⋊Q8×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×Q8×C43C2311yescharacteristic
468C4×Q8×C43C2311yescharacteristic
469C4×D4×C43—21no—
470C4×D4×C43C2311yescharacteristic
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473#117×C43—21no—
474#106×C43C2311yescharacteristic
475C4⋊C8×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477C4⋊C8×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#97×C43C2311yescharacteristic
485#97×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C2×Q8×C43C2×D411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512#10621902—22no—
513#10621902—22no—
514Q8×D43—22no—
515Q8×D43—22no—
516Q8×D43—22no—
517Q8×D43—22no—
518#10621900—22no—
519#10621900—22no—
520#10621900—22no—
521#10621900—22no—
522D4×D43—22no—
523D4×D43—22no—
524C2×D172—21no—
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×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2411yescharacteristic
544C2×Dic86C2411yescharacteristic
545C2×Dic86C2411yescharacteristic
546C2×Dic86C2411yescharacteristic
547Q16×C43—22no—
548Q16×C43—41no—
549SD16×C43—22no—
550SD16×C43—41no—
551SD16×C43—41no—
552SD16×C43—41no—
553SD16×C43—41no—
554D8×C43—22no—
555D8×C43—41no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43—21no—
584C42×C43C2411yescharacteristic
585C42×C43C2411yescharacteristic
586C42×C43C2411yescharacteristic
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598#10621885—22no—
599#10621885—22no—
600#10621885—41no—
601#10621885—41no—
602#10621885—41no—
603#10621885—41no—
604#10621884—22no—
605#10621884—41no—
606#10621884—41no—
607#10621883—22no—
608#10621883—22no—
609#10621883—41no—
610#10621883—41no—
611#10621883—41no—
612#10621883—41no—
613#10621882—22no—
614#10621882—41no—
615#10621882—41no—
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)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
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
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43C2×D411yescharacteristic
689C4×Dic43C2×D411yescharacteristic
690C4×Dic43C2411yescharacteristic
691C4×Dic43C2411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695C2×C43⋊C8C2411yescharacteristic
696C2×C43⋊C8C2411yescharacteristic
697Dic172—22no—
698Dic172—41no—
699Dic172—41no—
700Dic172—41no—
701D344—41no—
702#10621873—22no—
703#10621873—22no—
704#10621873—41no—
705#10621873—41no—
706#10621872—22no—
707#10621872#4114yes—
708C8×D43—22no—
709C8×D43—22no—
710C23×C43—21no—
711C23×C43—21no—
712C23×C43—21no—
713C22×D43—21no—
714C22×D43—21no—
715C22×D43—42no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43C22×D411yescharacteristic
719Q8×C43—21no—
720Q8×C43—21no—
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43—21no—
725Q8×C43—41no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—81no—
733D4×C43—81no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43—81no—
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C2511yescharacteristic
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—42no—
763C2×Dic43—42no—
764C2×Dic43—81no—
765C2×Dic43—81no—
766C2×Dic43—81no—
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774D172—21no—
775D172—21no—
776D172—21no—
777D172—21no—
778D172—42no—
779C4×D43—41no—
780C4×D43—41no—
781C4×D43—42no—
782C4×D43—42no—
783C4×D43—42no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43—81no—
788C4×D43—81no—
789C4×D43C2×#4112yes—
790C4×D43H(5,𝔽2)12yes—
791Dic86—21no—
792Dic86—21no—
793Dic86—21no—
794Dic86—21no—
795Dic86—21no—
796Dic86—21no—
797Dic86—21no—
798Dic86—21no—
799Dic86—41no—
800Dic86—41no—
801Dic86—41no—
802Dic86—42no—
803Dic86—42no—
804C8×C43—21no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43C2×#4112yes—
808C43⋊C8—21no—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8C2×#4112yes—
812#61423—431nomaximal, Sylow
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43C23×D411yescharacteristic
823C2×D43—21no—
824C2×D43—21no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—162no—
832C2×D43#55012yes—
833C4×C43—21no—
834C4×C43—21no—
835C4×C43—21no—
836C4×C43—21no—
837C4×C43—21no—
838C4×C43—21no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43—41no—
842C4×C43—41no—
843C4×C43—41no—
844C4×C43C22×#4111yescharacteristic
845C4×C43C2×H(5,𝔽2)11yescharacteristic
846Dic43—21no—
847Dic43—21no—
848Dic43—21no—
849Dic43—21no—
850Dic43—21no—
851Dic43—21no—
852Dic43—41no—
853Dic43—41no—
854Dic43—41no—
855Dic43—41no—
856Dic43—41no—
857Dic43—41no—
858Dic43#55012yes—
859#3510—431no—
860#3507—431no—
861#3403—431no—
862#3403—431no—
863#3402—431no—
864#3402—431no—
865#3401—431no—
866#3401—431no—
867#3401—431no—
868#3401D4311yescharacteristic, complemented
869#3400—431no—
870#3400—431no—
871#3398—431no—
872#3398—431no—
873#3394—431no—
874#3394—431no—
875#3393—431no—
876#3393—431no—
877#3156—431no—
878#3154—431no—
879#3153—431no—
880#3046—431no—
881#3045—431no—
882#3044—431no—
883#3042—431no—
884#3035—431no—
885C2×#464—431no—
886#2962—431no—
887#2947—431no—
888#2946—431no—
889C4×#137—431no—
890C2×C43—81no—
891C2×C43—81no—
892C2×C43—81no—
893C2×C43C2×#55011yescharacteristic
894C2×C43#358411yescharacteristic
895C2×C43#358611yescharacteristic
896D43—22no—
897D43—81no—
898D43—81no—
899C2×#137—431no—
900C2×#137—431no—
901C2×#137—431no—
902C2×AGL(1,ℤ/8)—431no—
903C2×AGL(1,ℤ/8)—431no—
904C2×#135—431no—
905C2×#135—431no—
906C22×Q16—431no—
907C22×SD16—431no—
908#559—431no—
909#559—431no—
910#559—431no—
911#559—431no—
912#559—431no—
913#559C2×D4311yescharacteristic
914#557—431no—
915#557—431no—
916#556—431no—
917#556—431no—
918#556—431no—
919#556—431no—
920#556—431no—
921#556—431no—
922#556—431no—
923#556—861no—
924#556C2×D4311yescharacteristic, complemented
925#554—861no—
926#552—861no—
927#552—861no—
928#551—861no—
929#551—861no—
930#551—861no—
931#551—861no—
932#542—861no—
933#542—861no—
934#539—861no—
935#539—861no—
936#536—431no—
937#536—431no—
938#536—431no—
939#535—431no—
940#533—431no—
941#532—431no—
942#529—861no—
943#529—861no—
944#529—861no—
945#529—861no—
946C2×#124—431no—
947#520—431no—
948#520—431no—
949#519—431no—
950#518—431no—
951C4×#41—431no—
952C2×C4×Q8—431no—
953#497—431no—
954#497—431no—
955#497—431no—
956#497—431no—
957#497—431no—
958#497—431no—
959#497—431no—
960#497C2×D4311yescharacteristic, complemented
961#496—431no—
962#496—431no—
963#496—431no—
964#496C2×D4311yescharacteristic
965#495—431no—
966#495—431no—
967#495—431no—
968#495—431no—
969#495—431no—
970#495—431no—
971#495—431no—
972#495C2×D4311yescharacteristic
973#494—431no—
974#494—431no—
975#492—431no—
976#492—431no—
977#464—431no—
978#464—431no—
979#464—431no—
980#464—431no—
981#464—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#464—431no—
988#464—431no—
989#464—431no—
990#464—431no—
991#464—431no—
992#464—431no—
993#464C2×D4311yescharacteristic
994#464C2×D4311yescharacteristic, complemented
995#463—431no—
996#463—431no—
997#463—431no—
998#463—431no—
999#463—431no—
1000#463—431no—
1001#463—431no—
1002#463—431no—
1003#463C2×D4311yescharacteristic, complemented
1004#463C2×D4311yescharacteristic, complemented
1005#462—431no—
1006#462—431no—
1007#462—431no—
1008#462—431no—
1009#462—431no—
1010#462—431no—
1011#462—431no—
1012#461—431no—
1013#461—431no—
1014#461—431no—
1015#461—431no—
1016#461—431no—
1017#461—431no—
1018#461C2×D4311yescharacteristic
1019#460—431no—
1020#460—431no—
1021#460C2×D4311yescharacteristic
1022#459—431no—
1023#459—431no—
1024#459—431no—
1025#446—431no—
1026#446—431no—
1027#446—431no—
1028#446—431no—
1029#446—431no—
1030#446C2×D4311yescharacteristic, complemented
1031C8×Q8—431no—
1032C8×Q8—431no—
1033#442—431no—
1034#442C2×D4311yescharacteristic
1035#441—431no—
1036#441—431no—
1037#441—431no—
1038#441C2×D4311yescharacteristic, complemented
1039#440—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045C4×Q16—431no—
1046C4×Q16—431no—
1047C4×Q16—431no—
1048C4×Q16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057#428—431no—
1058#424—431no—
1059#424—431no—
1060C2×C4⋊C8—431no—
1061#419—431no—
1062#417—431no—
1063#416—431no—
1064#416—431no—
1065C2×#103—431no—
1066C2×#102—431no—
1067#405—431no—
1068#405—431no—
1069C4×M16—431no—
1070C43#6142311yescharacteristic, complemented, Sylow
1071C2×#41—431no—
1072C2×#41—431no—
1073C2×#41—431no—
1074C22×Q8—431no—
1075C22×Q8—431no—
1076C22×D4—431no—
1077#137—864no—
1078#137—864no—
1079#137—1722no—
1080AGL(1,ℤ/8)—864no—
1081AGL(1,ℤ/8)—1722no—
1082#135—1722no—
1083#135—1722no—
1084C2×Q16—431no—
1085C2×Q16—431no—
1086C2×Q16—431no—
1087C2×Q16—431no—
1088C2×Q16—431no—
1089C2×Q16—431no—
1090C2×Q16—431no—
1091C2×Q16—431no—
1092C2×Q16—431no—
1093C2×Q16—431no—
1094C2×Q16—1722no—
1095C2×Q16C22×D4311yescharacteristic
1096C2×Q16C22×D4311yescharacteristic
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—431no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16—431no—
1110C2×SD16—1722no—
1111C2×SD16C22×D4311yescharacteristic
1112C2×SD16C22×D4311yescharacteristic
1113C2×SD16C22×D4311yescharacteristic
1114C2×SD16C22×D4311yescharacteristic
1115C2×SD16C22×D4311yescharacteristic
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—431no—
1119C2×D8—431no—
1120C2×D8C22×D4311yescharacteristic
1121C2×D8C22×D4311yescharacteristic
1122C2×M16—431no—
1123C2×M16—431no—
1124C22×C8—431no—
1125C22×C8—431no—
1126C4⋊Q8—431no—
1127C4⋊Q8—431no—
1128C4⋊Q8—431no—
1129C4⋊Q8—431no—
1130C4⋊Q8—431no—
1131C4⋊Q8—431no—
1132C4⋊Q8—431no—
1133C4⋊Q8—431no—
1134C4⋊Q8C22×D4311yescharacteristic
1135#127—431no—
1136#127—431no—
1137#127C22×D4311yescharacteristic
1138#126—21no—
1139#126—21no—
1140#126—861no—
1141#126—861no—
1142#126—861no—
1143#126—861no—
1144#126—861no—
1145#126—861no—
1146#126—861no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#126—861no—
1154#125—431no—
1155#125—431no—
1156#125—861no—
1157#125—861no—
1158#125—861no—
1159#125—861no—
1160#125—861no—
1161#125—861no—
1162#124—21no—
1163#124—431no—
1164#124—431no—
1165#124—431no—
1166#124—431no—
1167#124—431no—
1168#124—431no—
1169#124—431no—
1170#124—431no—
1171#124—431no—
1172#124—431no—
1173#124—861no—
1174#124—861no—
1175#124—861no—
1176#124—861no—
1177#124—861no—
1178#124—861no—
1179#124—861no—
1180#124C22×D4311yescharacteristic
1181#124C22×D4311yescharacteristic
1182#124C22×D4311yescharacteristic
1183#124C22×D4311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202C22⋊Q8—21no—
1203C22⋊Q8—431no—
1204C22⋊Q8—431no—
1205C22⋊Q8—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—861no—
1208C22⋊Q8—861no—
1209C22⋊Q8—861no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#120—861no—
1225#120—861no—
1226C4×Q8—431no—
1227C4×Q8—431no—
1228C4×Q8—431no—
1229C4×Q8—431no—
1230C4×Q8—431no—
1231C4×Q8—431no—
1232C4×Q8—431no—
1233C4×Q8—431no—
1234C4×Q8—431no—
1235C4×Q8—431no—
1236C4×Q8—431no—
1237C4×Q8—431no—
1238C4×Q8—431no—
1239C4×Q8—431no—
1240C4×Q8—861no—
1241C4×Q8—861no—
1242C4×Q8—861no—
1243C4×Q8—861no—
1244C4×Q8—861no—
1245C4×Q8—861no—
1246C4×Q8C22×D4311yescharacteristic
1247C4×Q8C22×D4311yescharacteristic
1248C4×Q8C22×D4311yescharacteristic
1249C4×Q8C22×D4311yescharacteristic
1250C4×D4—21no—
1251C4×D4—431no—
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
1257C4×D4—431no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275C4×D4C22×D4311yescharacteristic
1276#117—21no—
1277#117—431no—
1278#117—431no—
1279#117—431no—
1280#117—861no—
1281#117—861no—
1282#117—861no—
1283#117—861no—
1284#117—861no—
1285#117—861no—
1286#117—861no—
1287#117—861no—
1288#117—861no—
1289#117—861no—
1290#117—861no—
1291#117—861no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—861no—
1294C2×C4⋊C4—861no—
1295C2×C4⋊C4—861no—
1296C2×C22⋊C4—861no—
1297C2×C22⋊C4—861no—
1298C2×C22⋊C4—861no—
1299C2×C22⋊C4—861no—
1300C2×C42—431no—
1301C2×C42—861no—
1302C2×C42—861no—
1303#107—431no—
1304#107—431no—
1305#106—431no—
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312C4⋊C8—431no—
1313C4⋊C8—431no—
1314C4⋊C8—431no—
1315C4⋊C8—431no—
1316C4⋊C8C22×D4311yescharacteristic
1317C4⋊C8C22×D4311yescharacteristic
1318C4⋊C8C22×D4311yescharacteristic
1319#103—431no—
1320#103—431no—
1321#103—431no—
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103—431no—
1329#103—431no—
1330#103C22×D4311yescharacteristic
1331#103C22×D4311yescharacteristic
1332#103C22×D4311yescharacteristic
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#97—431no—
1344#97—431no—
1345#97—431no—
1346#97—431no—
1347#97C22×D4311yescharacteristic
1348#97C22×D4311yescharacteristic
1349C4×C8—431no—
1350C4×C8—431no—
1351C4×C8—431no—
1352C4×C8—431no—
1353C4×C8—431no—
1354C4×C8C22×D4311yescharacteristic
1355C24—861no—
1356#41—862no—
1357#41—862no—
1358#41—862no—
1359#41—862no—
1360#41—862no—
1361#41—862no—
1362C2×Q8—431no—
1363C2×Q8—431no—
1364C2×Q8—431no—
1365C2×Q8—431no—
1366C2×Q8—431no—
1367C2×Q8—431no—
1368C2×Q8—431no—
1369C2×Q8—861no—
1370C2×Q8—861no—
1371C2×Q8—862no—
1372C2×Q8—862no—
1373C2×Q8—862no—
1374C2×Q8—862no—
1375C2×Q8D4×D4311yescharacteristic
1376C2×Q8C23×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—861no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4C23×D4311yescharacteristic
1394C2×D4C23×D4311yescharacteristic
1395C2×D4C23×D4311yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
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—
1415Q16—22no—
1416Q16—41no—
1417Q16—862no—
1418Q16—862no—
1419Q16—862no—
1420Q16—1721no—
1421Q16—1721no—
1422Q16—1721no—
1423Q16—1721no—
1424Q16—1721no—
1425Q16—1721no—
1426Q16—1721no—
1427SD16—22no—
1428SD16—41no—
1429SD16—41no—
1430SD16—41no—
1431SD16—41no—
1432SD16—862no—
1433SD16—862no—
1434SD16—862no—
1435SD16—862no—
1436SD16—862no—
1437SD16—1721no—
1438SD16—1721no—
1439SD16—1721no—
1440SD16—1721no—
1441SD16—1721no—
1442SD16—1721no—
1443SD16—1721no—
1444SD16—1721no—
1445D8—22no—
1446D8—41no—
1447D8—862no—
1448D8—1721no—
1449D8—1721no—
1450D8—1721no—
1451M16—434no—
1452M16—862no—
1453C2×C8—431no—
1454C2×C8—431no—
1455C2×C8—431no—
1456C2×C8—431no—
1457C2×C8—862no—
1458C2×C8—862no—
1459C2×C8C23×D4311yescharacteristic
1460C2×C8C23×D4311yescharacteristic
1461C2×C8C23×D4311yescharacteristic
1462C2×C8C23×D4311yescharacteristic
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—431no—
1471C4⋊C4—431no—
1472C4⋊C4—431no—
1473C4⋊C4—431no—
1474C4⋊C4—431no—
1475C4⋊C4—431no—
1476C4⋊C4—431no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1508C4⋊C4D4×D4311yescharacteristic
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—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⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42—861no—
1572C42—861no—
1573C42—861no—
1574C42—861no—
1575C42C23×D4311yescharacteristic
1576C42C23×D4311yescharacteristic
1577C42C23×D4311yescharacteristic
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—431no—
1582C23—861no—
1583C23—861no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—41no—
1594Q8—861no—
1595Q8—861no—
1596Q8—861no—
1597Q8—861no—
1598Q8—861no—
1599Q8—861no—
1600Q8—861no—
1601Q8—861no—
1602Q8—1721no—
1603Q8—1721no—
1604Q8—1721no—
1605Q8—1722no—
1606Q8—1722no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—81no—
1614D4—81no—
1615D4—861no—
1616D4—861no—
1617D4—861no—
1618D4—861no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—1722no—
1623D4—1722no—
1624D4—1722no—
1625D4—1722no—
1626D4—1722no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—431no—
1636C2×C4—432no—
1637C2×C4—432no—
1638C2×C4—431no—
1639C2×C4—431no—
1640C2×C4—431no—
1641C2×C4—431no—
1642C2×C4—431no—
1643C2×C4—431no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—3441no—
1651C2×C4—3441no—
1652C2×C4—3441no—
1653C2×C4—3441no—
1654C2×C4—3441no—
1655C2×C4—3441no—
1656C2×C4—3441no—
1657C2×C4—3441no—
1658C2×C4—1721no—
1659C2×C4—1721no—
1660C2×C4—1722no—
1661C2×C4—1722no—
1662C2×C4—1722no—
1663C2×C4—1722no—
1664C2×C4—1722no—
1665C2×C4C2×D4×D4311yescharacteristic
1666C2×C4C2×D4×D4311yescharacteristic
1667C2×C4C2×D4×D4311yescharacteristic
1668C2×C4C2×D4×D4311yescharacteristic
1669C2×C4C2×D4×D4311yescharacteristic
1670C2×C4C2×D4×D4311yescharacteristic
1671C2×C4C24×D4311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—432no—
1676C8—861no—
1677C8—861no—
1678C8—861no—
1679C8#41×D4312yes—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—432no—
1690C22—861no—
1691C22—861no—
1692C22—1721no—
1693C22—1721no—
1694C22—1721no—
1695C22—1721no—
1696C22—1721no—
1697C22—1721no—
1698C22—6882no—
1699C22C22×D4×D4311yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—432no—
1712C4—861no—
1713C4—861no—
1714C4—861no—
1715C4—861no—
1716C4—861no—
1717C4—861no—
1718C4—1721no—
1719C4—1721no—
1720C4—1721no—
1721C4—1721no—
1722C4—1721no—
1723C4—1721no—
1724C4C2×#41×D4311yescharacteristic
1725C4H(5,𝔽2)×D4311yescharacteristic
1726C2—81no—
1727C2—81no—
1728C2—81no—
1729C2—862no—
1730C2—3441no—
1731C2—3441no—
1732C2#550×D4311yescharacteristic
1733C2#1914936811yescharacteristic
1734C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3401C2
socleC22×C43C23×D4
hypercenter#3401D43
hypocenterC43#61423
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #19148488C2semidirect
2. #19148456C2semidirect
3. #19147683C2semidirect
4. #19147680C2semidirect
5. #19147676C2semidirect
6. #19147674C2semidirect
7. #19147666C2semidirect
8. #19147665C2semidirect
9. #19147659C2semidirect
10. #19147647C2semidirect
11. #19147645C2semidirect
12. #19147630C2semidirect
13. #19147627C2semidirect
14. #19147592C2semidirect
15. #19147587C2semidirect
16. #19147580C2semidirect
17. #19147579C2semidirect
18. #19145087C2semidirect
19. #19145068C2semidirect
20. #19145056C2semidirect
21. #19144146C2semidirect
22. #19144131C2semidirect
23. #19144123C2semidirect
24. #19144102C2semidirect
25. #19144047C2semidirect
26. #464×D43C2semidirect
27. #19143543C2semidirect
28. #19143437C2semidirect
29. #19143424C2semidirect
30. C4×#13063354C2semidirect
31. C43×#3401C2semidirect
43. #14583632C22semidirect
45. #14583631C22semidirect
46. #14583627C22semidirect
47. #14583624C22semidirect
49. #14583622C22semidirect
51. #14583621C22semidirect
54. #14583618C22semidirect
85. #14583293C22semidirect
87. #14583292C22semidirect
90. #14583290C22semidirect
99. #14583281C22semidirect
100. #14583280C22semidirect
101. #14583278C22semidirect
102. #14583277C22semidirect
108. #14583122C22semidirect
112. #14583120C22semidirect
113. #14583120C22semidirect
116. #14583119C22semidirect
118. #14583118C22semidirect
119. #14583118C22semidirect
120. #14583118C22semidirect
126. #14583114C22semidirect
128. #14583112C22semidirect
129. #14583110C22semidirect
130. #14583110C22semidirect
131. #14583109C22semidirect
132. #14583108C22semidirect
133. #14583108C22semidirect
134. #14583108C22semidirect
135. #14583107C22semidirect
136. #14583104C22semidirect
139. #14583102C22semidirect
140. #14583102C22semidirect
142. #14583098C22semidirect
145. #14583092C22semidirect
147. #14583027C22semidirect
148. #14583027C22semidirect
149. #14583026C22semidirect
150. #14583026C22semidirect
151. #14583026C22semidirect
152. Q8×C43⋊C8C22semidirect
153. C8×Dic86C22semidirect
155. #14583005C22semidirect
156. #14583003C22semidirect
157. #14583003C22semidirect
158. #14583002C22semidirect
160. #14583001C22semidirect
161. #14583000C22semidirect
163. #14582996C22semidirect
164. C4×Dic172C22semidirect
165. Q16×Dic43C22semidirect
166. C4×#10621885C22semidirect
167. C4×#10621885C22semidirect
168. C4×#10621884C22semidirect
170. #14582986C22semidirect
172. C4×#10621883C22semidirect
189. C43×#556C22semidirect
190. C43×#497C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#463C22semidirect
199. C43×#446C22semidirect
201. C43×#441C22semidirect
202. C4×SD16×C43C22semidirect
868. #3401D43semidirect
924. #556C2×D43semidirect
960. #497C2×D43semidirect
994. #464C2×D43semidirect
1003. #463C2×D43semidirect
1004. #463C2×D43semidirect
1030. #446C2×D43semidirect
1038. #441C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1070. C43#61423semidirect

Maximal subgroups

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

subgroupindex
#191484882
#191484562
#191476832
#191476802
#191476762
#191476742
#191476662
#191476652
#191476592
#191476472
#191476452
#191476302
#191476272
#191475922
#191475872
#191475802
#191475792
#191450872
#191450682
#191450562
#191441462
#191441312
#191441232
#191441022
#191440472
#464×D432
#191435432
#191434372
#191434242
C4×#130633542
C43×#34012
#6142343