Finite Group Databasebeta

← #25972111

Subgroups — #25972111

Order 11008.

2674 conjugacy classes of subgroups.

The subgroup lattice has 2018 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583713C211yesmaximal, characteristic, complemented
2C2×#137×D43C211yesmaximal, characteristic, complemented
3#19148248C211yesmaximal, characteristic, complemented
4#19148241C211yesmaximal, characteristic, complemented
5#19146264C211yesmaximal, characteristic, complemented
6#19146261C211yesmaximal, characteristic, complemented
7#19146259C211yesmaximal, characteristic, complemented
8#19146254C211yesmaximal, characteristic, complemented
9#19146248C211yesmaximal, characteristic, complemented
10#19146247C211yesmaximal, characteristic, complemented
11#19146245C211yesmaximal, characteristic, complemented
12#19146245C211yesmaximal, characteristic, complemented
13#19146187C211yesmaximal, characteristic, complemented
14#19146180C211yesmaximal, characteristic, complemented
15#19146179C211yesmaximal, characteristic, complemented
16#19146170C211yesmaximal, characteristic, complemented
17#19146167C211yesmaximal, characteristic, complemented
18#19146162C211yesmaximal, characteristic, complemented
19#19146159C211yesmaximal, characteristic, complemented
20#19145068C211yesmaximal, characteristic, complemented
21#19144229C211yesmaximal, characteristic, complemented
22#19144202C211yesmaximal, characteristic, complemented
23#19144123C211yesmaximal, characteristic, complemented
24#19144111C211yesmaximal, characteristic, complemented
25#19143887C211yesmaximal, characteristic, complemented
26#19143878C211yesmaximal, characteristic, complemented
27#19143833C211yesmaximal, characteristic, complemented
28#19143826C211yesmaximal, characteristic, complemented
29#19143460C211yesmaximal, characteristic, complemented
30#19143293C211yesmaximal, characteristic, complemented
31C43×#3271C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#13063372C2211yescharacteristic
34C2×#41×D43C2211yescharacteristic
35C22×Q8×D43C2211yescharacteristic
36#14583713—28no—
37C2×#13063358C2211yescharacteristic
38C2×#13063357C2211yescharacteristic
39C2×#13063357C2211yescharacteristic
40C2×#13063356C2211yescharacteristic
41C2×#13063355C2211yescharacteristic
42C2×#13063355C2211yescharacteristic, complemented
43C2×#13063355C2211yescharacteristic, complemented
44C2×#13063354C2211yescharacteristic
45C2×#13063354C2211yescharacteristic
46C2×#13063354C2211yescharacteristic
47C2×#13063354C2211yescharacteristic
48C2×#13063354C2211yescharacteristic
49C2×#13063354C2211yescharacteristic, complemented
50C2×#13063354C2211yescharacteristic, complemented
51#137×D43—28no—
52C2×#13063349C2211yescharacteristic
53C2×#13063344C2211yescharacteristic
54C2×#13063344C2211yescharacteristic, complemented
55C22×Dic172C2211yescharacteristic, complemented
56C2×Q16×D43C2211yescharacteristic
57C2×Q16×D43C2211yescharacteristic
58C2×Q16×D43C2211yescharacteristic, complemented
59C2×SD16×D43C2211yescharacteristic
60C2×SD16×D43C2211yescharacteristic
61C2×#13063331C2211yescharacteristic
62C2×M16×D43C2211yescharacteristic
63#14583569—21no—
64#14583569C2211yescharacteristic
65#14583568C2211yescharacteristic
66#14583567—21no—
67#14583567C2211yescharacteristic
68Q8×D172C2211yescharacteristic, complemented
69D4×Dic86—21no—
70D4×Dic86C2211yescharacteristic, complemented
71Q8×C22⋊D43C2211yescharacteristic, complemented
72#14583562—21no—
73#14583562C2211yescharacteristic, complemented
74#14583561C2211yescharacteristic
75#14583558—21no—
76#14583558C2211yescharacteristic
77#14583557—21no—
78#14583557C2211yescharacteristic, complemented
79#14583556C2211yescharacteristic
80#14583556C2211yescharacteristic, complemented
81#14583555—21no—
82#14583555—21no—
83#14583555C2211yescharacteristic
84#14583555C2211yescharacteristic, complemented
85#14583472—21no—
86#14583472C2211yescharacteristic
87#14583469—21no—
88#14583469C2211yescharacteristic
89#14583465—21no—
90#14583465C2211yescharacteristic
91#14583462—21no—
92#14583462C2211yescharacteristic
93#14583409—21no—
94#14583409—21no—
95#14583409C2211yescharacteristic
96#14583409C2211yescharacteristic
97#14583408—21no—
98#14583408—21no—
99#14583408C2211yescharacteristic
100#14583375C2211yescharacteristic
101#14583375C2211yescharacteristic
102#14583293C2211yescharacteristic, complemented
103#14583290C2211yescharacteristic, complemented
104#14583287C2211yescharacteristic, complemented
105#14583282C2211yescharacteristic, complemented
106#14583281C2211yescharacteristic, complemented
107#14583271C2211yescharacteristic, complemented
108#14583270C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583149C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic, complemented
116#14583144C2211yescharacteristic, complemented
117#14583143C2211yescharacteristic, complemented
118#14583143C2211yescharacteristic, complemented
119#14583143C2211yescharacteristic, complemented
120#14583129C2211yescharacteristic, complemented
121#14583128C2211yescharacteristic, complemented
122#14583125C2211yescharacteristic, complemented
123#14583122C2211yescharacteristic, complemented
124#14583121C2211yescharacteristic, complemented
125#14583120C2211yescharacteristic, complemented
126#14583120C2211yescharacteristic, complemented
127#14583119C2211yescharacteristic, complemented
128#14583119C2211yescharacteristic, complemented
129#14583118C2211yescharacteristic, complemented
130#14583110C2211yescharacteristic, complemented
131#14583109C2211yescharacteristic, complemented
132#14583108C2211yescharacteristic, complemented
133#14583107C2211yescharacteristic, complemented
134#14583098C2211yescharacteristic, complemented
135#14583097C2211yescharacteristic, complemented
136#14583096C2211yescharacteristic, complemented
137#14583064C2211yescharacteristic
138#14583063C2211yescharacteristic
139#14583062C2211yescharacteristic
140#14583062C2211yescharacteristic, complemented
141#14583061C2211yescharacteristic
142#14583061C2211yescharacteristic, complemented
143#14583058C2211yescharacteristic, complemented
144#14583057C2211yescharacteristic, complemented
145#14583057C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583056C2211yescharacteristic, complemented
149#14583055C2211yescharacteristic, complemented
150#14583054C2211yescharacteristic, complemented
151#14583053C2211yescharacteristic, complemented
152#14583045C2211yescharacteristic, complemented
153#14583044C2211yescharacteristic, complemented
154#14583043C2211yescharacteristic
155#14583042C2211yescharacteristic
156#14583041C2211yescharacteristic
157#14583041C2211yescharacteristic, complemented
158#14583040C2211yescharacteristic, complemented
159#14583039C2211yescharacteristic, complemented
160#14583037C2211yescharacteristic, complemented
161#14583037C2211yescharacteristic, complemented
162#14583036C2211yescharacteristic, complemented
163#14583036C2211yescharacteristic, complemented
164#14583036C2211yescharacteristic, complemented
165#14583007C2211yescharacteristic, complemented
166#14583006C2211yescharacteristic, complemented
167#14583005C2211yescharacteristic, complemented
168C4×#10621885C2211yescharacteristic, complemented
169C4×#10621885C2211yescharacteristic, complemented
170#14582991C2211yescharacteristic, complemented
171#14582991C2211yescharacteristic, complemented
172#14582977C2211yescharacteristic, complemented
173#14582976C2211yescharacteristic, complemented
174#14582974C2211yescharacteristic, complemented
175#14582974C2211yescharacteristic, complemented
176#14582972C2211yescharacteristic, complemented
177#14582970C2211yescharacteristic, complemented
178#14582968C2211yescharacteristic, complemented
179#14582934C2211yescharacteristic
180#14582924C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582906C2211yescharacteristic
183#14582906C2211yescharacteristic
184#14582902C2211yescharacteristic
185#14582892C2211yescharacteristic
186#14582892C2211yescharacteristic
187#14582864C2211yescharacteristic
188#14582861C2211yescharacteristic
189#14582856C2211yescharacteristic
190C2×#137×C43C2211yescharacteristic
191C2×#135×C43C2211yescharacteristic, complemented
192C43×#550C2211yescharacteristic
193C43×#548C2211yescharacteristic, complemented
194C43×#496C2211yescharacteristic, complemented
195C43×#469C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic, complemented
197C43×#464C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic, complemented
199C43×#452C2211yescharacteristic, complemented
200C43×#449C2211yescharacteristic
201C43×#449C2211yescharacteristic, complemented
202C43×#448C2211yescharacteristic, complemented
203C43×#441C2211yescharacteristic, complemented
204C43×#435C2211yescharacteristic, complemented
205#13063372—24no—
206#13063372—24no—
207#13063372—42no—
208#13063372—42no—
209C2×#10621902C2311yescharacteristic
210C2×#10621898—21no—
211C2×#10621898—21no—
212C2×#10621898—21no—
213C2×#10621898C2311yescharacteristic
214C2×#10621898C2311yescharacteristic
215C2×#10621900—21no—
216C2×#10621900—21no—
217C2×#10621900—21no—
218C2×#10621900—21no—
219C2×#10621900—21no—
220C2×#10621900C2311yescharacteristic
221C2×#10621900C2311yescharacteristic
222C2×#10621900C2311yescharacteristic
223C2×#10621900C2311yescharacteristic
224C2×#10621900C2311yescharacteristic
225#41×D43—24no—
226#41×D43—42no—
227C22×Dic86—21no—
228C22×Dic86—21no—
229C22×Dic86—21no—
230C22×Dic86C2311yescharacteristic
231C22×Dic86C2311yescharacteristic
232C22×Dic86C2311yescharacteristic
233C2×Q8×D43—21no—
234C2×Q8×D43—21no—
235C2×Q8×D43—24no—
236C2×Q8×D43—42no—
237C2×Q8×D43C2311yescharacteristic
238C2×Q8×D43C2311yescharacteristic
239C2×Q8×D43C2311yescharacteristic
240C2×Q8×D43C2311yescharacteristic
241C2×Q8×D43C2311yescharacteristic
242C2×Q8×D43C2311yescharacteristic
243C2×Q8×D43C2311yescharacteristic
244C2×D4×D43—21no—
245C2×D4×D43C2311yescharacteristic
246C22×C4×D43—21no—
247C22×C4×D43—21no—
248C22×C4×D43C2311yescharacteristic
249#13063358—24no—
250#13063357—24no—
251#13063357—24no—
252#13063356—24no—
253#13063355—24no—
254#13063355—24no—
255#13063355—24no—
256#13063354—24no—
257#13063354—24no—
258#13063354—24no—
259#13063354—24no—
260#13063354—24no—
261#13063354—24no—
262#13063354—42no—
263#13063349—42no—
264#13063344—24no—
265#13063344—24no—
266C2×Dic172—24no—
267C2×Dic172C2311yescharacteristic
268C2×Dic172C2311yescharacteristic
269C2×Dic172C2311yescharacteristic
270C2×Dic172C2311yescharacteristic
271C2×Dic172C2311yescharacteristic
272C2×Dic172C2311yescharacteristic
273C2×#10621885C2311yescharacteristic
274C2×#10621885C2311yescharacteristic
275C2×#10621885C2311yescharacteristic
276C2×#10621885C2311yescharacteristic
277C2×#10621885C2311yescharacteristic
278C2×#10621885C2311yescharacteristic
279C2×#10621885C2311yescharacteristic
280Q16×D43—24no—
281Q16×D43—24no—
282Q16×D43D418yescomplemented
283C2×#10621873C2311yescharacteristic
284C2×#10621873C2311yescharacteristic
285C2×#10621873C2311yescharacteristic
286C2×#10621883C2311yescharacteristic
287C2×#10621883C2311yescharacteristic
288C2×#10621883C2311yescharacteristic
289C2×#10621883C2311yescharacteristic
290C2×#10621883C2311yescharacteristic
291C2×#10621883C2311yescharacteristic
292C2×#10621883C2311yescharacteristic
293C2×#10621883C2311yescharacteristic
294C2×#10621884C2311yescharacteristic
295C2×#10621884C2311yescharacteristic
296SD16×D43—24no—
297SD16×D43—24no—
298C2×#10621882C2311yescharacteristic
299#13063331—24no—
300C2×#10621877C2311yescharacteristic
301C2×#10621877C2311yescharacteristic
302C2×#10621872C2311yescharacteristic
303C2×#10621872C2311yescharacteristic
304C2×#10621872C2311yescharacteristic
305C2×#10621872C2311yescharacteristic
306C2×#10621872C2311yescharacteristic
307M16×D43—24no—
308C2×C8×D43C2311yescharacteristic
309C2×C8×D43C2311yescharacteristic
310C2×C8×D43C2311yescharacteristic
311#13063325—21no—
312#13063325C2311yescharacteristic
313#13063324—21no—
314#13063324—21no—
315#13063324—21no—
316#13063323—21no—
317#13063323C2311yescharacteristic
318#13063321—21no—
319#13063321—21no—
320#13063321—21no—
321#13063321—21no—
322#13063321C2311yescharacteristic
323#13063313—21no—
324#13063313C2311yescharacteristic
325#13063312—21no—
326#13063312—21no—
327#13063312C2311yescharacteristic
328#13063312C2311yescharacteristic
329#13063311—21no—
330#13063311—21no—
331#13063311—21no—
332#13063311—21no—
333#13063311—21no—
334#13063311—21no—
335#13063310—21no—
336#13063310D411yescharacteristic
337#13063307—21no—
338#13063307—21no—
339#13063307—21no—
340#13063307—21no—
341#13063307—21no—
342#13063307D411yescharacteristic
343#13063305—21no—
344#13063305—21no—
345#13063305—21no—
346#13063305C2311yescharacteristic
347#13063305C2311yescharacteristic
348#13063305C2311yescharacteristic
349#13063304—21no—
350#13063304—21no—
351#13063304—21no—
352#13063304C2311yescharacteristic
353#13063304C2311yescharacteristic
354#13063304C2311yescharacteristic
355#13063303—21no—
356#13063303—21no—
357#13063303D411yescharacteristic
358#13063302—21no—
359#13063302—21no—
360#13063302—21no—
361#13063302—21no—
362#13063302—21no—
363#13063302—21no—
364#13063302—21no—
365#13063302—21no—
366#13063302D411yescharacteristic
367#13063301—21no—
368#13063301C2311yescharacteristic
369#13063300—21no—
370#13063300C2311yescharacteristic
371#13063299—21no—
372#13063299C2311yescharacteristic
373#13063298—21no—
374#13063298—21no—
375#13063298D411yescharacteristic
376#13063297—21no—
377#13063297—21no—
378#13063297—21no—
379#13063297—21no—
380#13063297—21no—
381#13063297—21no—
382#13063297—21no—
383#13063297—21no—
384#13063297D411yescharacteristic
385#13063296—21no—
386#13063296—21no—
387#13063296—21no—
388#13063296C2311yescharacteristic
389#13063296C2311yescharacteristic
390#13063296C2311yescharacteristic
391#13063295—21no—
392#13063295D411yescharacteristic
393#13063293—21no—
394#13063293—21no—
395#13063293—21no—
396#13063293—21no—
397#13063293—21no—
398#13063293D411yescharacteristic
399Q8×Dic43C2311yescharacteristic
400Q8×Dic43C2311yescharacteristic
401C4×Dic86—21no—
402C4×Dic86—21no—
403C4×Dic86C2311yescharacteristic
404C4×Dic86C2311yescharacteristic
405#13063290—21no—
406#13063290—21no—
407#13063290C2311yescharacteristic
408#13063290C2311yescharacteristic
409C4×D172—21no—
410C4×D172—21no—
411C4×D172C2311yescharacteristic
412D4×Dic43—21no—
413D4×Dic43—21no—
414D4×Dic43—21no—
415D4×Dic43—21no—
416D4×Dic43—21no—
417D4×Dic43—21no—
418C4×C22⋊D43—21no—
419C4×C22⋊D43—21no—
420C4×C22⋊D43—21no—
421C4×C22⋊D43—21no—
422C4×C22⋊D43C2311yescharacteristic
423C4×C22⋊D43C2311yescharacteristic
424(C22⋊D43)⋊C4—21no—
425(C22⋊D43)⋊C4—21no—
426(C22⋊D43)⋊C4—21no—
427(C22⋊D43)⋊C4—21no—
428(C22⋊D43)⋊C4—21no—
429(C22⋊D43)⋊C4—21no—
430#13063283—21no—
431#13063283—21no—
432#13063283C2311yescharacteristic
433#13063283C2311yescharacteristic
434#13063282—21no—
435#13063282—21no—
436#13063282C2311yescharacteristic
437#13063258C2311yescharacteristic
438#13063258C2311yescharacteristic
439#13063257C2311yescharacteristic
440C4⋊(C43⋊C8)C2311yescharacteristic
441Dic43⋊C8C2311yescharacteristic
442Dic43⋊C8C2311yescharacteristic
443#13063250C2311yescharacteristic
444#13063250C2311yescharacteristic
445#13063250C2311yescharacteristic
446#13063250C2311yescharacteristic
447#13063250C2311yescharacteristic
448#13063249C2311yescharacteristic
449#13063249C2311yescharacteristic
450#13063249C2311yescharacteristic
451#13063248C2311yescharacteristic
452#13063248C2311yescharacteristic
453#13063248C2311yescharacteristic
454#13063248C2311yescharacteristic
455#13063248C2311yescharacteristic
456#13063247C2311yescharacteristic
457#13063246C2311yescharacteristic
458#13063246C2311yescharacteristic
459#13063246C2311yescharacteristic
460#13063245C2311yescharacteristic
461C22⋊(C43⋊C8)C2311yescharacteristic
462C22⋊(C43⋊C8)C2311yescharacteristic
463(C2×D43)⋊C8C2311yescharacteristic
464(C2×D43)⋊C8C2311yescharacteristic
465(C2×D43)⋊C8C2311yescharacteristic
466(C2×D43)⋊C8C2311yescharacteristic
467#13063235C2311yescharacteristic
468C4×C43⋊C8C2311yescharacteristic
469C8×Dic43C2311yescharacteristic
470C2×#41×C43C2311yescharacteristic
471C2×#41×C43C2311yescharacteristic
472C2×#41×C43C2311yescharacteristic
473C22×Q8×C43C2311yescharacteristic
474#137×C43—24no—
475#135×C43—24no—
476C2×Q16×C43C2311yescharacteristic
477C2×Q16×C43C2311yescharacteristic
478C2×SD16×C43C2311yescharacteristic
479C2×SD16×C43C2311yescharacteristic
480C2×SD16×C43C2311yescharacteristic
481C2×SD16×C43C2311yescharacteristic
482C2×SD16×C43C2311yescharacteristic
483C2×D8×C43C2311yescharacteristic
484C2×D8×C43C2311yescharacteristic
485C2×M16×C43C2311yescharacteristic
486C22×C8×C43C2311yescharacteristic
487#127×C43—21no—
488#127×C43C2311yescharacteristic
489#124×C43—21no—
490#124×C43C2311yescharacteristic
491C22⋊Q8×C43—21no—
492C22⋊Q8×C43C2311yescharacteristic
493#121×C43—21no—
494#121×C43—21no—
495#121×C43—21no—
496#121×C43C2311yescharacteristic
497#121×C43C2311yescharacteristic
498#121×C43C2311yescharacteristic
499C4×Q8×C43C2311yescharacteristic
500C4×Q8×C43C2311yescharacteristic
501C4×D4×C43—21no—
502C4×D4×C43—21no—
503C4×D4×C43C2311yescharacteristic
504#106×C43C2311yescharacteristic
505C4⋊C8×C43C2311yescharacteristic
506#103×C43C2311yescharacteristic
507#103×C43C2311yescharacteristic
508#103×C43C2311yescharacteristic
509#102×C43C2311yescharacteristic
510#102×C43C2311yescharacteristic
511#102×C43C2311yescharacteristic
512C22⋊C8×C43C2311yescharacteristic
513C22⋊C8×C43C2311yescharacteristic
514#97×C43C2311yescharacteristic
515C23×D43—21no—
516C23×D43C2×D411yescharacteristic
517#41×C43—22no—
518#41×C43—22no—
519#41×C43—22no—
520#41×C43—41no—
521#41×C43—41no—
522#41×C43—41no—
523C2×Q8×C43—21no—
524C2×Q8×C43—22no—
525C2×Q8×C43—41no—
526C2×Q8×C43C2411yescharacteristic
527C2×Q8×C43C2411yescharacteristic
528C2×Q8×C43C2411yescharacteristic
529C2×D4×C43—21no—
530C2×D4×C43—21no—
531C2×D4×C43—21no—
532C2×D4×C43—21no—
533C2×D4×C43—21no—
534C2×D4×C43—21no—
535C2×D4×C43—21no—
536C2×D4×C43—21no—
537C2×D4×C43C2×D411yescharacteristic
538C2×D4×C43C2411yescharacteristic
539C2×D4×C43C2411yescharacteristic
540C2×D4×C43C2411yescharacteristic
541C22×C4×C43—21no—
542C22×C4×C43—21no—
543C22×C4×C43—21no—
544C22×C4×C43—21no—
545C22×C4×C43C2411yescharacteristic
546C22×C4×C43C2411yescharacteristic
547C2×C22⋊D43—21no—
548C2×C22⋊D43—21no—
549C2×C22⋊D43—21no—
550C2×C22⋊D43—21no—
551C2×C22⋊D43—21no—
552C2×C22⋊D43—21no—
553C2×C22⋊D43—21no—
554C2×C22⋊D43—21no—
555C2×C22⋊D43—21no—
556C2×C22⋊D43—21no—
557C2×C22⋊D43—21no—
558C2×C22⋊D43—21no—
559C2×C22⋊D43—21no—
560C2×C22⋊D43C2×D411yescharacteristic
561C2×C22⋊D43C2×D411yescharacteristic
562C2×C22⋊D43C2×D411yescharacteristic
563C2×C22⋊D43C2×D411yescharacteristic
564C22×Dic43—21no—
565C22×Dic43—21no—
566C22×Dic43—21no—
567C22×Dic43—21no—
568C22×Dic43—21no—
569C22×Dic43—21no—
570C22×Dic43—21no—
571C22×Dic43—21no—
572C22×Dic43C2×D411yescharacteristic
573#10621902—22no—
574#10621902—41no—
575Q8×D43—22no—
576Q8×D43—22no—
577Q8×D43—22no—
578Q8×D43—22no—
579Q8×D43—22no—
580Q8×D43—22no—
581Q8×D43—22no—
582Q8×D43—22no—
583Q8×D43—41no—
584Q8×D43—41no—
585Q8×D43—41no—
586Q8×D43—41no—
587Q8×D43—44no—
588Q8×D43—44no—
589Q8×D43C2×D414yes—
590Q8×D43C2×D414yes—
591#10621900—22no—
592#10621900—22no—
593#10621900—22no—
594#10621900—22no—
595#10621900—22no—
596#10621900—22no—
597#10621900—22no—
598#10621900—41no—
599#10621900—41no—
600#10621900—41no—
601#10621900—44no—
602#10621900—44no—
603#10621900—44no—
604#10621900—44no—
605#10621900—44no—
606D4×D43—22no—
607D4×D43—22no—
608D4×D43—44no—
609#10621898—22no—
610#10621898—22no—
611#10621898—22no—
612#10621898—44no—
613#10621898—41no—
614#10621898—44no—
615#10621898—44no—
616C2×D172—21no—
617C2×D172—21no—
618C2×D172C2×D411yescharacteristic
619C2×D172C2×D411yescharacteristic
620C2×D172C2411yescharacteristic
621C2×C4×D43—22no—
622C2×C4×D43—22no—
623C2×C4×D43—21no—
624C2×C4×D43—21no—
625C2×C4×D43—21no—
626C2×C4×D43—21no—
627C2×C4×D43—21no—
628C2×C4×D43—21no—
629C2×C4×D43—21no—
630C2×C4×D43—21no—
631C2×C4×D43—21no—
632C2×C4×D43—44no—
633C2×C4×D43—44no—
634C2×C4×D43C2×D411yescharacteristic
635C2×C4×D43C2×D411yescharacteristic
636C2×C4×D43C2411yescharacteristic
637C2×C4×D43C2411yescharacteristic
638C2×C4×D43C2411yescharacteristic
639C2×Dic86—21no—
640C2×Dic86—21no—
641C2×Dic86—22no—
642C2×Dic86—22no—
643C2×Dic86—22no—
644C2×Dic86—21no—
645C2×Dic86—21no—
646C2×Dic86—21no—
647C2×Dic86—21no—
648C2×Dic86—21no—
649C2×Dic86—21no—
650C2×Dic86—21no—
651C2×Dic86—21no—
652C2×Dic86—41no—
653C2×Dic86—41no—
654C2×Dic86—41no—
655C2×Dic86—44no—
656C2×Dic86—44no—
657C2×Dic86—44no—
658C2×Dic86C2×D411yescharacteristic
659C2×Dic86C2411yescharacteristic
660C2×Dic86C2411yescharacteristic
661C2×Dic86C2411yescharacteristic
662C2×Dic86C2411yescharacteristic
663C2×Dic86C2411yescharacteristic
664Q16×C43—22no—
665Q16×C43C2×D414yes—
666SD16×C43—22no—
667SD16×C43—22no—
668SD16×C43—22no—
669SD16×C43—22no—
670SD16×C43—41no—
671D8×C43—22no—
672D8×C43—41no—
673M16×C43—22no—
674C2×C8×C43—22no—
675C2×C8×C43C2411yescharacteristic
676C2×C8×C43C2411yescharacteristic
677C2×C8×C43C2411yescharacteristic
678C2×C8×C43C2411yescharacteristic
679C4⋊C4×C43—21no—
680C4⋊C4×C43—21no—
681C4⋊C4×C43—21no—
682C4⋊C4×C43C2×D411yescharacteristic
683C4⋊C4×C43C2411yescharacteristic
684C4⋊C4×C43C2411yescharacteristic
685C22⋊C4×C43—21no—
686C22⋊C4×C43—21no—
687C22⋊C4×C43—21no—
688C22⋊C4×C43—21no—
689C22⋊C4×C43—21no—
690C22⋊C4×C43—21no—
691C22⋊C4×C43C2×D411yescharacteristic
692C22⋊C4×C43C2×D411yescharacteristic
693C42×C43—21no—
694C42×C43—21no—
695C42×C43C2411yescharacteristic
696C22⋊Dic43—21no—
697C22⋊Dic43—21no—
698C22⋊Dic43—21no—
699C22⋊Dic43—21no—
700C22⋊Dic43—21no—
701C22⋊Dic43—21no—
702C22⋊Dic43—21no—
703C22⋊Dic43—21no—
704C22⋊Dic43—21no—
705C22⋊Dic43—21no—
706C22⋊Dic43C2×D411yescharacteristic
707C22⋊Dic43C2×D411yescharacteristic
708#10621885—22no—
709#10621885—22no—
710#10621885—22no—
711#10621885—22no—
712#10621885—41no—
713#10621885C2×D414yes—
714#10621885C2×D414yes—
715#10621884—22no—
716#10621884—22no—
717#10621883—22no—
718#10621883—22no—
719#10621883—22no—
720#10621883—22no—
721#10621883—22no—
722#10621883—22no—
723#10621883—41no—
724#10621883—41no—
725#10621882—41no—
726(C2×D43)⋊C4—21no—
727(C2×D43)⋊C4—21no—
728(C2×D43)⋊C4—21no—
729(C2×D43)⋊C4—21no—
730(C2×D43)⋊C4—21no—
731(C2×D43)⋊C4—21no—
732(C2×D43)⋊C4—21no—
733(C2×D43)⋊C4—21no—
734(C2×D43)⋊C4—21no—
735(C2×D43)⋊C4—21no—
736(C2×D43)⋊C4C2×D411yescharacteristic
737(C2×D43)⋊C4C2×D411yescharacteristic
738(C2×D43)⋊C4C2×D411yescharacteristic
739(C2×D43)⋊C4C2×D411yescharacteristic
740(C2×D43)⋊C4C2×D411yescharacteristic
741(C2×D43)⋊C4C2×D411yescharacteristic
742C4⋊Dic43—21no—
743C4⋊Dic43—21no—
744C4⋊Dic43—21no—
745C4⋊Dic43—21no—
746C4⋊Dic43—21no—
747C4⋊Dic43—21no—
748C4⋊Dic43—21no—
749C4⋊Dic43C2×D411yescharacteristic
750C4⋊Dic43C2411yescharacteristic
751C4⋊Dic43C2411yescharacteristic
752Dic43⋊C4—21no—
753Dic43⋊C4—21no—
754Dic43⋊C4—21no—
755Dic43⋊C4—21no—
756Dic43⋊C4—21no—
757Dic43⋊C4—21no—
758Dic43⋊C4—21no—
759Dic43⋊C4—21no—
760Dic43⋊C4—21no—
761Dic43⋊C4—21no—
762Dic43⋊C4C2×D411yescharacteristic
763Dic43⋊C4C2×D411yescharacteristic
764Dic43⋊C4C2×D411yescharacteristic
765Dic43⋊C4C2×D411yescharacteristic
766C4×Dic43—21no—
767C4×Dic43—21no—
768C4×Dic43—21no—
769C4×Dic43—21no—
770C4×Dic43—21no—
771C4×Dic43—21no—
772C4×Dic43—21no—
773C4×Dic43—21no—
774C4×Dic43C2411yescharacteristic
775#10621877—22no—
776#10621877—22no—
777C2×C43⋊C8C2411yescharacteristic
778C2×C43⋊C8C2411yescharacteristic
779C2×C43⋊C8C2411yescharacteristic
780C2×C43⋊C8C2411yescharacteristic
781Dic172—22no—
782Dic172—22no—
783Dic172—22no—
784Dic172—22no—
785Dic172—41no—
786Dic172C2×D414yes—
787#10621873—22no—
788#10621873—22no—
789#10621873—41no—
790#10621872—22no—
791#10621872—22no—
792#10621872—22no—
793#10621872—22no—
794#10621872—22no—
795C8×D43—22no—
796C8×D43—22no—
797C8×D43C2×D414yes—
798C23×C43—21no—
799C23×C43—21no—
800C23×C43—21no—
801C23×C43C22×D411yescharacteristic
802C23×C43C22×D411yescharacteristic
803C22×D43—22no—
804C22×D43—21no—
805C22×D43—41no—
806C22×D43—41no—
807C22×D43—42no—
808C22×D43—81no—
809C22×D43—81no—
810C22×D43C22×D411yescharacteristic
811C22×D43C22×D411yescharacteristic
812C22×D43C22×D411yescharacteristic
813Q8×C43—21no—
814Q8×C43—21no—
815Q8×C43—21no—
816Q8×C43—21no—
817Q8×C43—42no—
818Q8×C43C22×D412yes—
819Q8×C43C22×D412yes—
820D4×C43—21no—
821D4×C43—21no—
822D4×C43—21no—
823D4×C43—21no—
824D4×C43—21no—
825D4×C43—21no—
826D4×C43—41no—
827D4×C43—42no—
828D4×C43—42no—
829D4×C43—42no—
830D4×C43—42no—
831D4×C43—81no—
832D4×C43—81no—
833D4×C43—81no—
834D4×C43—81no—
835C2×C4×C43—21no—
836C2×C4×C43—21no—
837C2×C4×C43—21no—
838C2×C4×C43—21no—
839C2×C4×C43—21no—
840C2×C4×C43—21no—
841C2×C4×C43—21no—
842C2×C4×C43—21no—
843C2×C4×C43—21no—
844C2×C4×C43—42no—
845C2×C4×C43—42no—
846C2×C4×C43—42no—
847C2×C4×C43—42no—
848C2×C4×C43C22×D411yescharacteristic
849C2×C4×C43C22×D411yescharacteristic
850C2×C4×C43C22×D411yescharacteristic
851C2×C4×C43C22×D411yescharacteristic
852C2×C4×C43C2511yescharacteristic
853C22⋊D43—22no—
854C22⋊D43—22no—
855C22⋊D43—41no—
856C22⋊D43—41no—
857C22⋊D43—42no—
858C22⋊D43—42no—
859C22⋊D43—42no—
860C22⋊D43—42no—
861C22⋊D43—42no—
862C22⋊D43—42no—
863C22⋊D43—42no—
864C22⋊D43—42no—
865C22⋊D43—81no—
866C22⋊D43—81no—
867C22⋊D43—81no—
868C22⋊D43—81no—
869C22⋊D43—81no—
870C2×Dic43—21no—
871C2×Dic43—21no—
872C2×Dic43—22no—
873C2×Dic43—21no—
874C2×Dic43—21no—
875C2×Dic43—21no—
876C2×Dic43—21no—
877C2×Dic43—21no—
878C2×Dic43—42no—
879C2×Dic43—42no—
880C2×Dic43—42no—
881C2×Dic43—42no—
882C2×Dic43—42no—
883C2×Dic43—42no—
884C2×Dic43—42no—
885C2×Dic43—42no—
886C2×Dic43C22×D411yescharacteristic
887C2×Dic43C22×D411yescharacteristic
888C2×Dic43C22×D411yescharacteristic
889C2×Dic43C22×D411yescharacteristic
890C2×Dic43C22×D411yescharacteristic
891D172—22no—
892D172—21no—
893D172—21no—
894D172—41no—
895D172—42no—
896D172—81no—
897C4×D43—22no—
898C4×D43—24no—
899C4×D43—24no—
900C4×D43—21no—
901C4×D43—21no—
902C4×D43—21no—
903C4×D43—21no—
904C4×D43—22no—
905C4×D43—42no—
906C4×D43—42no—
907C4×D43—42no—
908C4×D43—42no—
909C4×D43—42no—
910C4×D43—42no—
911C4×D43—42no—
912C4×D43C22×D412yes—
913C4×D43H(5,𝔽2)12yes—
914Dic86—21no—
915Dic86—21no—
916Dic86—24no—
917Dic86—24no—
918Dic86—22no—
919Dic86—21no—
920Dic86—21no—
921Dic86—21no—
922Dic86—21no—
923Dic86—21no—
924Dic86—21no—
925Dic86—42no—
926Dic86—42no—
927Dic86—42no—
928Dic86—42no—
929Dic86—42no—
930Dic86—42no—
931Dic86—42no—
932Dic86—42no—
933Dic86C22×D412yes—
934Dic86C22×D412yes—
935C8×C43—21no—
936C8×C43—21no—
937C8×C43—21no—
938C8×C43C22×D412yes—
939C43⋊C8—21no—
940C43⋊C8—21no—
941C43⋊C8—21no—
942C43⋊C8C22×D412yes—
943#61061—431nomaximal, Sylow
944C22×C43—21no—
945C22×C43—21no—
946C22×C43—21no—
947C22×C43—21no—
948C22×C43—21no—
949C22×C43—21no—
950C22×C43—41no—
951C22×C43—41no—
952C22×C43—41no—
953C22×C43—41no—
954C22×C43—41no—
955C22×C43—41no—
956C22×C43—41no—
957C22×C43—41no—
958C22×C43—41no—
959C22×C43C23×D411yescharacteristic
960C2×D43—21no—
961C2×D43—21no—
962C2×D43—21no—
963C2×D43—21no—
964C2×D43—21no—
965C2×D43—21no—
966C2×D43—21no—
967C2×D43—21no—
968C2×D43—44no—
969C2×D43—41no—
970C2×D43—41no—
971C2×D43—41no—
972C2×D43—84no—
973C2×D43D4212yes—
974C4×C43—21no—
975C4×C43—21no—
976C4×C43—21no—
977C4×C43—22no—
978C4×C43—22no—
979C4×C43—21no—
980C4×C43—41no—
981C4×C43—41no—
982C4×C43—41no—
983C4×C43C23×D411yescharacteristic
984C4×C43C2×H(5,𝔽2)11yescharacteristic
985Dic43—21no—
986Dic43—21no—
987Dic43—22no—
988Dic43—22no—
989Dic43—21no—
990Dic43—21no—
991Dic43—41no—
992Dic43—41no—
993Dic43—41no—
994Dic43—41no—
995Dic43—41no—
996Dic43D4212yes—
997C2×#578—431no—
998C22×#137—431no—
999#3487—431no—
1000#3486—431no—
1001#3278—431no—
1002#3278—431no—
1003#3278—431no—
1004#3278—431no—
1005#3277—431no—
1006#3277—431no—
1007#3277—431no—
1008#3277—431no—
1009#3271—431no—
1010#3271—431no—
1011#3271—431no—
1012#3271D4311yescharacteristic, complemented
1013#3270—431no—
1014#3270—431no—
1015#3270—431no—
1016#3270—431no—
1017#3154—431no—
1018#3057—431no—
1019#3054—431no—
1020#3044—431no—
1021#3043—431no—
1022#3011—431no—
1023#3010—431no—
1024#3005—431no—
1025#3004—431no—
1026#2950—431no—
1027#2930—431no—
1028C2×C43—41no—
1029C2×C43—41no—
1030C2×C43—81no—
1031C2×C43—81no—
1032C2×C43—81no—
1033C2×C43C2×D4211yescharacteristic
1034C2×C43#358611yescharacteristic
1035C2×C43#358611yescharacteristic
1036D43—22no—
1037D43—41no—
1038D43—41no—
1039D43—81no—
1040C2×2−1+4—431no—
1041C2×2−1+4—431no—
1042C22×#41—431no—
1043C23×Q8—431no—
1044#578—868no—
1045C2×#137—431no—
1046C2×#137—431no—
1047C2×#137—431no—
1048C2×#137—431no—
1049C2×#137—431no—
1050C2×#137—431no—
1051C2×#137—431no—
1052C2×#137—431no—
1053C2×#137—431no—
1054C2×#137—431no—
1055C2×#137—431no—
1056C2×#137—431no—
1057C2×#137—431no—
1058C2×#137—431no—
1059C2×#137—868no—
1060C2×#137C2×D4311yescharacteristic
1061C2×AGL(1,ℤ/8)—431no—
1062C2×#135—431no—
1063C2×#135—431no—
1064C2×#135C2×D4311yescharacteristic, complemented
1065C22×Q16—431no—
1066C22×Q16—431no—
1067C22×Q16—431no—
1068C22×Q16—431no—
1069C22×SD16—431no—
1070C22×SD16—431no—
1071C2×#131—431no—
1072C22×M16—431no—
1073#550—431no—
1074#550—431no—
1075#550—431no—
1076#550—861no—
1077#550—861no—
1078#550C2×D4311yescharacteristic
1079D4×Q8—431no—
1080D4×Q8—431no—
1081D4×Q8—431no—
1082D4×Q8—431no—
1083D4×Q8—861no—
1084D4×Q8—861no—
1085#548—431no—
1086#548—431no—
1087#548—431no—
1088#548—431no—
1089#548—431no—
1090#548—431no—
1091#548—431no—
1092#548—861no—
1093#548—861no—
1094#548—861no—
1095#548—861no—
1096#548C2×D4311yescharacteristic, complemented
1097#536—431no—
1098#536—431no—
1099#536—861no—
1100#536—861no—
1101#535—431no—
1102#535—431no—
1103#535—861no—
1104#535—861no—
1105#525—431no—
1106#525—431no—
1107#525—431no—
1108#525—861no—
1109#525—861no—
1110#525—861no—
1111#525—861no—
1112#519—431no—
1113#519—431no—
1114#497—431no—
1115#497—431no—
1116#496—431no—
1117#496C2×D4311yescharacteristic, complemented
1118#495—431no—
1119#495—431no—
1120#492—431no—
1121#492—431no—
1122#470—431no—
1123#470—431no—
1124#469—431no—
1125#469C2×D4311yescharacteristic, complemented
1126#468—431no—
1127#468—431no—
1128#468—431no—
1129#468—431no—
1130#468—431no—
1131#468—431no—
1132#468—431no—
1133#468—431no—
1134#465—431no—
1135#465—431no—
1136#465—431no—
1137#465C2×D4311yescharacteristic, complemented
1138#464—431no—
1139#464—431no—
1140#464—431no—
1141#464—431no—
1142#464—431no—
1143#464—431no—
1144#464—431no—
1145#464C2×D4311yescharacteristic, complemented
1146#462—431no—
1147#462—431no—
1148#462—431no—
1149#462—431no—
1150#460—431no—
1151#460—431no—
1152#460—431no—
1153#460C2×D4311yescharacteristic, complemented
1154#452—431no—
1155#452—431no—
1156#452—431no—
1157#452—431no—
1158#452—431no—
1159#452—431no—
1160#452—431no—
1161#452C2×D4311yescharacteristic, complemented
1162#451—431no—
1163#451—431no—
1164#451—431no—
1165#451—431no—
1166#451—431no—
1167#451—431no—
1168#451—431no—
1169#451—431no—
1170#449—431no—
1171#449—431no—
1172#449—431no—
1173#449—431no—
1174#449—431no—
1175#449—431no—
1176#449C2×D4311yescharacteristic
1177#449C2×D4311yescharacteristic, complemented
1178#448—431no—
1179#448—431no—
1180#448—431no—
1181#448—431no—
1182#448—431no—
1183#448—431no—
1184#448—431no—
1185#448C2×D4311yescharacteristic, complemented
1186#441—431no—
1187#441—431no—
1188#441—431no—
1189#441C2×D4311yescharacteristic, complemented
1190C4×Q16—431no—
1191C4×Q16—431no—
1192C4×Q16—431no—
1193C4×Q16—431no—
1194#436—431no—
1195#436—431no—
1196#436—431no—
1197#436—431no—
1198#435—431no—
1199#435—431no—
1200#435—431no—
1201#435C2×D4311yescharacteristic, complemented
1202#427—431no—
1203#424—431no—
1204#419—431no—
1205#419—431no—
1206#419—431no—
1207#418—431no—
1208#416—431no—
1209#416—431no—
1210#408—431no—
1211#407—431no—
1212#405—431no—
1213C43#6106111yescharacteristic, complemented, Sylow
12142−1+4—864no—
12152−1+4—864no—
12162−1+4—1722no—
12172−1+4—1722no—
1218C2×#41—431no—
1219C2×#41—431no—
1220C2×#41—431no—
1221C2×#41—431no—
1222C2×#41—431no—
1223C2×#41—431no—
1224C2×#41—431no—
1225C2×#41—431no—
1226C2×#41—861no—
1227C2×#41—861no—
1228C2×#41—861no—
1229C2×#41—861no—
1230C2×#41—861no—
1231C2×#41—861no—
1232C2×#41—861no—
1233C2×#41—861no—
1234C2×#41—864no—
1235C2×#41—1722no—
1236C2×#41C22×D4311yescharacteristic
1237C2×#41C22×D4311yescharacteristic
1238C2×#41C22×D4311yescharacteristic
1239C22×Q8—431no—
1240C22×Q8—431no—
1241C22×Q8—431no—
1242C22×Q8—431no—
1243C22×Q8—431no—
1244C22×Q8—431no—
1245C22×Q8—431no—
1246C22×Q8—431no—
1247C22×Q8—431no—
1248C22×Q8—431no—
1249C22×Q8—861no—
1250C22×Q8—861no—
1251C22×Q8—861no—
1252C22×Q8—861no—
1253C22×Q8—861no—
1254C22×Q8—864no—
1255C22×Q8—1722no—
1256C22×Q8C22×D4311yescharacteristic
1257C22×D4—431no—
1258C22×D4—861no—
1259C23×C4—431no—
1260C23×C4—861no—
1261C23×C4—861no—
1262#137—24no—
1263#137—864no—
1264#137—864no—
1265#137—864no—
1266#137—864no—
1267#137—864no—
1268#137—864no—
1269#137—864no—
1270#137—864no—
1271#137—864no—
1272#137—864no—
1273#137—864no—
1274#137—864no—
1275#137—864no—
1276#137—1722no—
1277AGL(1,ℤ/8)—1722no—
1278#135—24no—
1279#135—864no—
1280#135—864no—
1281C2×Q16—431no—
1282C2×Q16—431no—
1283C2×Q16—438no—
1284C2×Q16—431no—
1285C2×Q16—431no—
1286C2×Q16—431no—
1287C2×Q16—431no—
1288C2×Q16—431no—
1289C2×Q16—431no—
1290C2×Q16—431no—
1291C2×Q16—431no—
1292C2×Q16—431no—
1293C2×Q16—431no—
1294C2×Q16—431no—
1295C2×Q16—864no—
1296C2×Q16—864no—
1297C2×Q16—864no—
1298C2×Q16C22×D4311yescharacteristic
1299C2×Q16C22×D4311yescharacteristic
1300C2×SD16—431no—
1301C2×SD16—431no—
1302C2×SD16—431no—
1303C2×SD16—431no—
1304C2×SD16—431no—
1305C2×SD16—431no—
1306C2×SD16—431no—
1307C2×SD16—431no—
1308C2×SD16—431no—
1309C2×SD16—431no—
1310C2×SD16—431no—
1311C2×SD16—431no—
1312C2×SD16—431no—
1313C2×SD16—864no—
1314C2×SD16—864no—
1315C2×SD16C22×D4311yescharacteristic
1316C2×SD16C22×D4311yescharacteristic
1317C2×SD16C22×D4311yescharacteristic
1318C2×SD16C22×D4311yescharacteristic
1319C2×SD16C22×D4311yescharacteristic
1320C2×D8—431no—
1321C2×D8C22×D4311yescharacteristic
1322C2×D8C22×D4311yescharacteristic
1323#131—864no—
1324C2×M16—431no—
1325C2×M16—431no—
1326C2×M16—431no—
1327C2×M16—431no—
1328C2×M16—431no—
1329C2×M16—431no—
1330C2×M16—431no—
1331C2×M16—864no—
1332C2×M16C22×D4311yescharacteristic
1333C22×C8—431no—
1334C22×C8—431no—
1335C22×C8—431no—
1336C22×C8C22×D4311yescharacteristic
1337C4⋊Q8—431no—
1338C4⋊Q8—431no—
1339C4⋊Q8—861no—
1340C4⋊Q8—861no—
1341C4⋊Q8—861no—
1342C4⋊Q8—861no—
1343C4⋊Q8—861no—
1344#127—21no—
1345#127—431no—
1346#127—861no—
1347#127—861no—
1348#127—861no—
1349#127—861no—
1350#127C22×D4311yescharacteristic
1351#124—21no—
1352#124—431no—
1353#124—431no—
1354#124—431no—
1355#124—861no—
1356#124—861no—
1357#124—861no—
1358#124—861no—
1359#124—861no—
1360#124—861no—
1361#124—861no—
1362#124—861no—
1363#124—861no—
1364#124C22×D4311yescharacteristic
1365#123—431no—
1366#123—431no—
1367#123—861no—
1368#123—861no—
1369#123—861no—
1370#123—861no—
1371#123—861no—
1372#123—861no—
1373C22⋊Q8—21no—
1374C22⋊Q8—431no—
1375C22⋊Q8—431no—
1376C22⋊Q8—431no—
1377C22⋊Q8—431no—
1378C22⋊Q8—431no—
1379C22⋊Q8—431no—
1380C22⋊Q8—431no—
1381C22⋊Q8—431no—
1382C22⋊Q8—431no—
1383C22⋊Q8—861no—
1384C22⋊Q8—861no—
1385C22⋊Q8—861no—
1386C22⋊Q8—861no—
1387C22⋊Q8—861no—
1388C22⋊Q8—861no—
1389C22⋊Q8—861no—
1390C22⋊Q8—861no—
1391C22⋊Q8—861no—
1392C22⋊Q8—861no—
1393C22⋊Q8—861no—
1394C22⋊Q8—861no—
1395C22⋊Q8—861no—
1396C22⋊Q8—861no—
1397C22⋊Q8—861no—
1398C22⋊Q8—861no—
1399C22⋊Q8—861no—
1400C22⋊Q8C22×D4311yescharacteristic
1401#121—21no—
1402#121—21no—
1403#121—21no—
1404#121—431no—
1405#121—431no—
1406#121—431no—
1407#121—431no—
1408#121—431no—
1409#121—431no—
1410#121—431no—
1411#121—861no—
1412#121—861no—
1413#121—861no—
1414#121—861no—
1415#121—861no—
1416#121—861no—
1417#121—861no—
1418#121—861no—
1419#121—861no—
1420#121—861no—
1421#121—861no—
1422#121—861no—
1423#121—861no—
1424#121—861no—
1425#121—861no—
1426#121C22×D4311yescharacteristic
1427#121C22×D4311yescharacteristic
1428#121C22×D4311yescharacteristic
1429#120—431no—
1430#120—431no—
1431#120—861no—
1432#120—861no—
1433#120—861no—
1434#120—861no—
1435#120—861no—
1436#120—861no—
1437C4×Q8—431no—
1438C4×Q8—431no—
1439C4×Q8—431no—
1440C4×Q8—431no—
1441C4×Q8—431no—
1442C4×Q8—431no—
1443C4×Q8—861no—
1444C4×Q8—861no—
1445C4×Q8—861no—
1446C4×Q8—861no—
1447C4×Q8C22×D4311yescharacteristic
1448C4×Q8C22×D4311yescharacteristic
1449C4×D4—21no—
1450C4×D4—21no—
1451C4×D4—431no—
1452C4×D4—431no—
1453C4×D4—431no—
1454C4×D4—861no—
1455C4×D4—861no—
1456C4×D4—861no—
1457C4×D4—861no—
1458C4×D4—861no—
1459C4×D4—861no—
1460C4×D4—861no—
1461C4×D4—861no—
1462C4×D4—861no—
1463C4×D4—861no—
1464C4×D4—861no—
1465C4×D4—861no—
1466C4×D4—861no—
1467C4×D4—861no—
1468C4×D4—861no—
1469C4×D4—861no—
1470C4×D4—861no—
1471C4×D4—861no—
1472C4×D4C22×D4311yescharacteristic
1473#117—431no—
1474#117—431no—
1475#117—431no—
1476#117—861no—
1477#117—861no—
1478#117—861no—
1479#117—861no—
1480#107—431no—
1481#107—431no—
1482#106—431no—
1483#106C22×D4311yescharacteristic
1484C4⋊C8—431no—
1485C4⋊C8—431no—
1486C4⋊C8—431no—
1487C4⋊C8C22×D4311yescharacteristic
1488#103—431no—
1489#103—431no—
1490#103—431no—
1491#103—431no—
1492#103—431no—
1493#103—431no—
1494#103—431no—
1495#103—431no—
1496#103—431no—
1497#103—431no—
1498#103—431no—
1499#103—431no—
1500#103—431no—
1501#103C22×D4311yescharacteristic
1502#103C22×D4311yescharacteristic
1503#103C22×D4311yescharacteristic
1504#102—431no—
1505#102—431no—
1506#102—431no—
1507#102—431no—
1508#102—431no—
1509#102C22×D4311yescharacteristic
1510#102C22×D4311yescharacteristic
1511#102C22×D4311yescharacteristic
1512C22⋊C8—431no—
1513C22⋊C8—431no—
1514C22⋊C8—431no—
1515C22⋊C8—431no—
1516C22⋊C8—431no—
1517C22⋊C8—431no—
1518C22⋊C8C22×D4311yescharacteristic
1519C22⋊C8C22×D4311yescharacteristic
1520#97—431no—
1521#97C22×D4311yescharacteristic
1522C4×C8—431no—
1523C4×C8—431no—
1524C24—431no—
1525C24—861no—
1526#41—22no—
1527#41—22no—
1528#41—22no—
1529#41—41no—
1530#41—41no—
1531#41—41no—
1532#41—862no—
1533#41—862no—
1534#41—862no—
1535#41—862no—
1536#41—862no—
1537#41—862no—
1538#41—862no—
1539#41—862no—
1540#41—862no—
1541#41—862no—
1542#41—862no—
1543#41—1721no—
1544#41—1724no—
1545#41—1724no—
1546#41—1724no—
1547#41—1721no—
1548#41—1721no—
1549#41—1721no—
1550#41—1724no—
1551#41—1724no—
1552#41—1724no—
1553#41—1721no—
1554#41—1724no—
1555#41—1724no—
1556C2×Q8—21no—
1557C2×Q8—22no—
1558C2×Q8—41no—
1559C2×Q8—431no—
1560C2×Q8—434no—
1561C2×Q8—434no—
1562C2×Q8—431no—
1563C2×Q8—431no—
1564C2×Q8—431no—
1565C2×Q8—431no—
1566C2×Q8—431no—
1567C2×Q8—861no—
1568C2×Q8—861no—
1569C2×Q8—861no—
1570C2×Q8—861no—
1571C2×Q8—861no—
1572C2×Q8—861no—
1573C2×Q8—861no—
1574C2×Q8—862no—
1575C2×Q8—862no—
1576C2×Q8—862no—
1577C2×Q8—862no—
1578C2×Q8—862no—
1579C2×Q8—862no—
1580C2×Q8—862no—
1581C2×Q8—861no—
1582C2×Q8—861no—
1583C2×Q8—861no—
1584C2×Q8—862no—
1585C2×Q8—862no—
1586C2×Q8—862no—
1587C2×Q8—862no—
1588C2×Q8—1721no—
1589C2×Q8—1721no—
1590C2×Q8—1721no—
1591C2×Q8—1724no—
1592C2×Q8—1724no—
1593C2×Q8—1724no—
1594C2×Q8—1724no—
1595C2×Q8—1721no—
1596C2×Q8—1721no—
1597C2×Q8—1721no—
1598C2×Q8—1721no—
1599C2×Q8—1724no—
1600C2×Q8C23×D4311yescharacteristic
1601C2×Q8C23×D4311yescharacteristic
1602C2×Q8C23×D4311yescharacteristic
1603C2×D4—21no—
1604C2×D4—21no—
1605C2×D4—21no—
1606C2×D4—21no—
1607C2×D4—21no—
1608C2×D4—21no—
1609C2×D4—21no—
1610C2×D4—21no—
1611C2×D4—431no—
1612C2×D4—431no—
1613C2×D4—431no—
1614C2×D4—431no—
1615C2×D4—431no—
1616C2×D4—431no—
1617C2×D4—431no—
1618C2×D4—861no—
1619C2×D4—861no—
1620C2×D4—862no—
1621C2×D4—862no—
1622C2×D4—861no—
1623C2×D4—861no—
1624C2×D4—861no—
1625C2×D4—861no—
1626C2×D4—861no—
1627C2×D4—861no—
1628C2×D4—861no—
1629C2×D4—861no—
1630C2×D4—861no—
1631C2×D4—861no—
1632C2×D4—861no—
1633C2×D4—861no—
1634C2×D4—861no—
1635C2×D4—1724no—
1636C2×D4D4×D4311yescharacteristic
1637C2×D4C23×D4311yescharacteristic
1638C2×D4C23×D4311yescharacteristic
1639C2×D4C23×D4311yescharacteristic
1640C22×C4—21no—
1641C22×C4—21no—
1642C22×C4—21no—
1643C22×C4—21no—
1644C22×C4—431no—
1645C22×C4—431no—
1646C22×C4—431no—
1647C22×C4—431no—
1648C22×C4—431no—
1649C22×C4—431no—
1650C22×C4—862no—
1651C22×C4—862no—
1652C22×C4—861no—
1653C22×C4—861no—
1654C22×C4—861no—
1655C22×C4—861no—
1656C22×C4—861no—
1657C22×C4—861no—
1658C22×C4—861no—
1659C22×C4—861no—
1660C22×C4—861no—
1661C22×C4—861no—
1662C22×C4—861no—
1663C22×C4—861no—
1664C22×C4—861no—
1665C22×C4—861no—
1666C22×C4—861no—
1667C22×C4—861no—
1668C22×C4—861no—
1669C22×C4—1724no—
1670C22×C4—1724no—
1671C22×C4C23×D4311yescharacteristic
1672C22×C4C23×D4311yescharacteristic
1673Q16—22no—
1674Q16—434no—
1675Q16—434no—
1676Q16—434no—
1677Q16—862no—
1678Q16—862no—
1679Q16—862no—
1680Q16—862no—
1681Q16—862no—
1682Q16—862no—
1683Q16—862no—
1684Q16—862no—
1685Q16—1721no—
1686Q16—1721no—
1687Q16D4×D4314yes—
1688SD16—22no—
1689SD16—22no—
1690SD16—22no—
1691SD16—22no—
1692SD16—41no—
1693SD16—862no—
1694SD16—862no—
1695SD16—862no—
1696SD16—862no—
1697SD16—862no—
1698SD16—862no—
1699SD16—862no—
1700SD16—862no—
1701SD16—862no—
1702SD16—862no—
1703SD16—1721no—
1704SD16—1721no—
1705SD16—1721no—
1706D8—22no—
1707D8—41no—
1708D8—1721no—
1709M16—22no—
1710M16—862no—
1711M16—862no—
1712M16—862no—
1713M16—862no—
1714M16—862no—
1715M16—862no—
1716M16—862no—
1717C2×C8—22no—
1718C2×C8—431no—
1719C2×C8—434no—
1720C2×C8—431no—
1721C2×C8—431no—
1722C2×C8—431no—
1723C2×C8—862no—
1724C2×C8—862no—
1725C2×C8C23×D4311yescharacteristic
1726C2×C8C23×D4311yescharacteristic
1727C2×C8C23×D4311yescharacteristic
1728C2×C8C23×D4311yescharacteristic
1729C4⋊C4—21no—
1730C4⋊C4—21no—
1731C4⋊C4—21no—
1732C4⋊C4—431no—
1733C4⋊C4—431no—
1734C4⋊C4—431no—
1735C4⋊C4—431no—
1736C4⋊C4—431no—
1737C4⋊C4—431no—
1738C4⋊C4—431no—
1739C4⋊C4—861no—
1740C4⋊C4—861no—
1741C4⋊C4—861no—
1742C4⋊C4—861no—
1743C4⋊C4—861no—
1744C4⋊C4—861no—
1745C4⋊C4—861no—
1746C4⋊C4—861no—
1747C4⋊C4—861no—
1748C4⋊C4—861no—
1749C4⋊C4—861no—
1750C4⋊C4—861no—
1751C4⋊C4—861no—
1752C4⋊C4—861no—
1753C4⋊C4—861no—
1754C4⋊C4—861no—
1755C4⋊C4—861no—
1756C4⋊C4D4×D4311yescharacteristic
1757C4⋊C4C23×D4311yescharacteristic
1758C4⋊C4C23×D4311yescharacteristic
1759C22⋊C4—21no—
1760C22⋊C4—21no—
1761C22⋊C4—21no—
1762C22⋊C4—21no—
1763C22⋊C4—21no—
1764C22⋊C4—21no—
1765C22⋊C4—431no—
1766C22⋊C4—431no—
1767C22⋊C4—431no—
1768C22⋊C4—431no—
1769C22⋊C4—431no—
1770C22⋊C4—431no—
1771C22⋊C4—431no—
1772C22⋊C4—431no—
1773C22⋊C4—861no—
1774C22⋊C4—861no—
1775C22⋊C4—861no—
1776C22⋊C4—861no—
1777C22⋊C4—861no—
1778C22⋊C4—861no—
1779C22⋊C4—861no—
1780C22⋊C4—861no—
1781C22⋊C4—861no—
1782C22⋊C4—861no—
1783C22⋊C4—861no—
1784C22⋊C4—861no—
1785C22⋊C4—861no—
1786C22⋊C4—861no—
1787C22⋊C4—861no—
1788C22⋊C4—861no—
1789C22⋊C4—861no—
1790C22⋊C4—861no—
1791C22⋊C4—861no—
1792C22⋊C4—861no—
1793C22⋊C4D4×D4311yescharacteristic
1794C22⋊C4D4×D4311yescharacteristic
1795C42—21no—
1796C42—21no—
1797C42—431no—
1798C42—861no—
1799C42—861no—
1800C42—861no—
1801C42—861no—
1802C42—861no—
1803C42—861no—
1804C42—861no—
1805C42—861no—
1806C42C23×D4311yescharacteristic
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—431no—
1811C23—431no—
1812C23—431no—
1813C23—862no—
1814C23—861no—
1815C23—3441no—
1816C23—3441no—
1817C23—1721no—
1818C23—1721no—
1819C23—1722no—
1820C23C2×D4×D4311yescharacteristic
1821C23C2×D4×D4311yescharacteristic
1822Q8—21no—
1823Q8—21no—
1824Q8—21no—
1825Q8—21no—
1826Q8—42no—
1827Q8—432no—
1828Q8—432no—
1829Q8—864no—
1830Q8—864no—
1831Q8—862no—
1832Q8—861no—
1833Q8—861no—
1834Q8—861no—
1835Q8—861no—
1836Q8—861no—
1837Q8—861no—
1838Q8—861no—
1839Q8—861no—
1840Q8—1722no—
1841Q8—1722no—
1842Q8—1722no—
1843Q8—1722no—
1844Q8—1722no—
1845Q8—1722no—
1846Q8—1722no—
1847Q8—1722no—
1848Q8C2×D4×D4312yes—
1849Q8C2×D4×D4312yes—
1850D4—21no—
1851D4—21no—
1852D4—21no—
1853D4—21no—
1854D4—21no—
1855D4—21no—
1856D4—41no—
1857D4—42no—
1858D4—42no—
1859D4—42no—
1860D4—42no—
1861D4—81no—
1862D4—81no—
1863D4—81no—
1864D4—81no—
1865D4—862no—
1866D4—862no—
1867D4—862no—
1868D4—861no—
1869D4—861no—
1870D4—3441no—
1871D4—3441no—
1872D4—3441no—
1873D4—3441no—
1874D4—3441no—
1875D4—3441no—
1876D4—1721no—
1877D4—1722no—
1878D4—1722no—
1879D4—1721no—
1880D4—1721no—
1881D4—1722no—
1882D4—1722no—
1883D4—1722no—
1884D4—1722no—
1885D4—1722no—
1886D4—1722no—
1887D4—1722no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—42no—
1898C2×C4—42no—
1899C2×C4—42no—
1900C2×C4—42no—
1901C2×C4—431no—
1902C2×C4—432no—
1903C2×C4—432no—
1904C2×C4—431no—
1905C2×C4—431no—
1906C2×C4—431no—
1907C2×C4—431no—
1908C2×C4—862no—
1909C2×C4—862no—
1910C2×C4—864no—
1911C2×C4—864no—
1912C2×C4—862no—
1913C2×C4—861no—
1914C2×C4—861no—
1915C2×C4—861no—
1916C2×C4—861no—
1917C2×C4—861no—
1918C2×C4—861no—
1919C2×C4—861no—
1920C2×C4—861no—
1921C2×C4—861no—
1922C2×C4—861no—
1923C2×C4—861no—
1924C2×C4—1722no—
1925C2×C4—1722no—
1926C2×C4—1722no—
1927C2×C4—1722no—
1928C2×C4—1722no—
1929C2×C4—1722no—
1930C2×C4—1722no—
1931C2×C4—1722no—
1932C2×C4—1722no—
1933C2×C4—1722no—
1934C2×C4—1722no—
1935C2×C4—1722no—
1936C2×C4—1722no—
1937C2×C4—1722no—
1938C2×C4—1722no—
1939C2×C4C2×D4×D4311yescharacteristic
1940C2×C4C2×D4×D4311yescharacteristic
1941C2×C4C2×D4×D4311yescharacteristic
1942C2×C4C2×D4×D4311yescharacteristic
1943C2×C4C24×D4311yescharacteristic
1944C8—21no—
1945C8—21no—
1946C8—21no—
1947C8—432no—
1948C8—861no—
1949C8—861no—
1950C8—861no—
1951C8C2×D4×D4312yes—
1952C22—21no—
1953C22—21no—
1954C22—21no—
1955C22—21no—
1956C22—21no—
1957C22—21no—
1958C22—41no—
1959C22—41no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—432no—
1968C22—861no—
1969C22—861no—
1970C22—861no—
1971C22—861no—
1972C22—861no—
1973C22—861no—
1974C22—861no—
1975C22—861no—
1976C22—3444no—
1977C22—1724no—
1978C22—1721no—
1979C22—1721no—
1980C22—1721no—
1981C22C22×D4×D4311yescharacteristic
1982C4—21no—
1983C4—21no—
1984C4—21no—
1985C4—21no—
1986C4—22no—
1987C4—22no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—432no—
1992C4—861no—
1993C4—861no—
1994C4—861no—
1995C4—861no—
1996C4—862no—
1997C4—862no—
1998C4—1721no—
1999C4—1721no—
2000C4—1721no—
2001C4—1721no—
2002C4—1721no—
2003C4C22×D4×D4311yescharacteristic
2004C4H(5,𝔽2)×D4311yescharacteristic
2005C2—41no—
2006C2—41no—
2007C2—81no—
2008C2—81no—
2009C2—81no—
2010C2—862no—
2011C2—3441no—
2012C2—1721no—
2013C2—1721no—
2014C2D42×D4311yescharacteristic
2015C2#1914937711yescharacteristic
2016C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3271C2
socleC22×C43C23×D4
hypercenter#3271D43
hypocenterC43#61061
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. C2×#14583713C2semidirect
2. C2×#137×D43C2semidirect
3. #19148248C2semidirect
4. #19148241C2semidirect
5. #19146264C2semidirect
6. #19146261C2semidirect
7. #19146259C2semidirect
8. #19146254C2semidirect
9. #19146248C2semidirect
10. #19146247C2semidirect
11. #19146245C2semidirect
12. #19146245C2semidirect
13. #19146187C2semidirect
14. #19146180C2semidirect
15. #19146179C2semidirect
16. #19146170C2semidirect
17. #19146167C2semidirect
18. #19146162C2semidirect
19. #19146159C2semidirect
20. #19145068C2semidirect
21. #19144229C2semidirect
22. #19144202C2semidirect
23. #19144123C2semidirect
24. #19144111C2semidirect
25. #19143887C2semidirect
26. #19143878C2semidirect
27. #19143833C2semidirect
28. #19143826C2semidirect
29. #19143460C2semidirect
30. #19143293C2semidirect
31. C43×#3271C2semidirect
42. C2×#13063355C22semidirect
43. C2×#13063355C22semidirect
49. C2×#13063354C22semidirect
50. C2×#13063354C22semidirect
54. C2×#13063344C22semidirect
55. C22×Dic172C22semidirect
58. C2×Q16×D43C22semidirect
68. Q8×D172C22semidirect
70. D4×Dic86C22semidirect
71. Q8×C22⋊D43C22semidirect
73. #14583562C22semidirect
78. #14583557C22semidirect
80. #14583556C22semidirect
84. #14583555C22semidirect
102. #14583293C22semidirect
103. #14583290C22semidirect
104. #14583287C22semidirect
105. #14583282C22semidirect
106. #14583281C22semidirect
107. #14583271C22semidirect
108. #14583270C22semidirect
109. #14583158C22semidirect
110. #14583157C22semidirect
111. #14583149C22semidirect
112. #14583148C22semidirect
113. #14583147C22semidirect
114. #14583144C22semidirect
115. #14583144C22semidirect
116. #14583144C22semidirect
117. #14583143C22semidirect
118. #14583143C22semidirect
119. #14583143C22semidirect
120. #14583129C22semidirect
121. #14583128C22semidirect
122. #14583125C22semidirect
123. #14583122C22semidirect
124. #14583121C22semidirect
125. #14583120C22semidirect
126. #14583120C22semidirect
127. #14583119C22semidirect
128. #14583119C22semidirect
129. #14583118C22semidirect
130. #14583110C22semidirect
131. #14583109C22semidirect
132. #14583108C22semidirect
133. #14583107C22semidirect
134. #14583098C22semidirect
135. #14583097C22semidirect
136. #14583096C22semidirect
140. #14583062C22semidirect
142. #14583061C22semidirect
143. #14583058C22semidirect
144. #14583057C22semidirect
145. #14583057C22semidirect
146. #14583056C22semidirect
147. #14583056C22semidirect
148. #14583056C22semidirect
149. #14583055C22semidirect
150. #14583054C22semidirect
151. #14583053C22semidirect
152. #14583045C22semidirect
153. #14583044C22semidirect
157. #14583041C22semidirect
158. #14583040C22semidirect
159. #14583039C22semidirect
160. #14583037C22semidirect
161. #14583037C22semidirect
162. #14583036C22semidirect
163. #14583036C22semidirect
164. #14583036C22semidirect
165. #14583007C22semidirect
166. #14583006C22semidirect
167. #14583005C22semidirect
168. C4×#10621885C22semidirect
169. C4×#10621885C22semidirect
170. #14582991C22semidirect
171. #14582991C22semidirect
172. #14582977C22semidirect
173. #14582976C22semidirect
174. #14582974C22semidirect
175. #14582974C22semidirect
176. #14582972C22semidirect
177. #14582970C22semidirect
178. #14582968C22semidirect
191. C2×#135×C43C22semidirect
193. C43×#548C22semidirect
194. C43×#496C22semidirect
195. C43×#469C22semidirect
196. C43×#465C22semidirect
197. C43×#464C22semidirect
198. C43×#460C22semidirect
199. C43×#452C22semidirect
201. C43×#449C22semidirect
202. C43×#448C22semidirect
203. C43×#441C22semidirect
204. C43×#435C22semidirect
282. Q16×D43D4semidirect
1012. #3271D43semidirect
1064. C2×#135C2×D43semidirect
1096. #548C2×D43semidirect
1117. #496C2×D43semidirect
1125. #469C2×D43semidirect
1137. #465C2×D43semidirect
1145. #464C2×D43semidirect
1153. #460C2×D43semidirect
1161. #452C2×D43semidirect
1177. #449C2×D43semidirect
1185. #448C2×D43semidirect
1189. #441C2×D43semidirect
1201. #435C2×D43semidirect
1213. C43#61061semidirect

Maximal subgroups

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

subgroupindex
C2×#145837132
C2×#137×D432
#191482482
#191482412
#191462642
#191462612
#191462592
#191462542
#191462482
#191462472
#191462452
#191461872
#191461802
#191461792
#191461702
#191461672
#191461622
#191461592
#191450682
#191442292
#191442022
#191441232
#191441112
#191438872
#191438782
#191438332
#191438262
#191434602
#191432932
C43×#32712
#6106143