Finite Group Databasebeta

← #25988652

Subgroups — #25988652

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149087C211yesmaximal, characteristic, complemented
2#19148485C211yesmaximal, characteristic
3#19147651C211yesmaximal, characteristic, complemented
4#19147650C211yesmaximal, characteristic, complemented
5#19147649C211yesmaximal, characteristic, complemented
6#19147646C211yesmaximal, characteristic, complemented
7#19147629C211yesmaximal, characteristic, complemented
8#19147627C211yesmaximal, characteristic, complemented
9#19147626C211yesmaximal, characteristic, complemented
10#19147625C211yesmaximal, characteristic, complemented
11#19147444C211yesmaximal, characteristic, complemented
12#19147443C211yesmaximal, characteristic, complemented
13#19147432C211yesmaximal, characteristic, complemented
14#19147366C211yesmaximal, characteristic, complemented
15#19147363C211yesmaximal, characteristic, complemented
16#19147362C211yesmaximal, characteristic, complemented
17#19147361C211yesmaximal, characteristic, complemented
18#19145679C211yesmaximal, characteristic, complemented
19#19145677C211yesmaximal, characteristic, complemented
20#19145670C211yesmaximal, characteristic
21#19145664C211yesmaximal, characteristic
22#19145599C211yesmaximal, characteristic, complemented
23#19145596C211yesmaximal, characteristic, complemented
24#19144897C211yesmaximal, characteristic, complemented
25#19144892C211yesmaximal, characteristic, complemented
26#19144849C211yesmaximal, characteristic, complemented
27#19144846C211yesmaximal, characteristic, complemented
28#19144760C211yesmaximal, characteristic, complemented
29#19144755C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3377C211yesmaximal, characteristic, complemented
32C43⋊#564—21no—
33C43⋊#564—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583628C2211yescharacteristic, complemented
39#14583627C2211yescharacteristic, complemented
40#14583627C2211yescharacteristic, complemented
41#14583627C2211yescharacteristic, complemented
42#14583626C2211yescharacteristic, complemented
43#14583626C2211yescharacteristic, complemented
44#14583625—21no—
45#14583624—21no—
46#14583624C2211yescharacteristic, complemented
47#14583623C2211yescharacteristic
48#14583621C2211yescharacteristic
49#14583618C2211yescharacteristic
50#14583576—21no—
51#14583574—21no—
52#14583574—21no—
53#14583573—21no—
54#14583519—21no—
55#14583515—21no—
56#14583512C2211yescharacteristic
57#14583512C2211yescharacteristic
58#14583510—21no—
59#14583508—21no—
60#14583508—21no—
61#14583507—21no—
62#14583507C2211yescharacteristic
63#14583507C2211yescharacteristic
64#14583474C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583453C2211yescharacteristic
69#14583432—21no—
70#14583427—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583294C2211yescharacteristic
77#14583293C2211yescharacteristic
78#14583293C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic
80#14583292C2211yescharacteristic
81#14583292C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic
83#14583278C2211yescharacteristic, complemented
84#14583277C2211yescharacteristic, complemented
85#14583272C2211yescharacteristic
86#14583270C2211yescharacteristic
87#14583266C2211yescharacteristic, complemented
88#14583265C2211yescharacteristic
89#14583262C2211yescharacteristic
90#14583261C2211yescharacteristic
91#14583260C2211yescharacteristic
92#14583257C2211yescharacteristic
93#14583256C2211yescharacteristic, complemented
94#14583255C2211yescharacteristic
95#14583255C2211yescharacteristic, complemented
96#14583243C2211yescharacteristic
97#14583242C2211yescharacteristic
98#14583242C2211yescharacteristic
99#14583239C2211yescharacteristic
100#14583208C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic
104#14583197C2211yescharacteristic
105#14583196C2211yescharacteristic
106#14583192C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583186C2211yescharacteristic, complemented
109#14583124C2211yescharacteristic
110#14583124C2211yescharacteristic
111#14583124C2211yescharacteristic
112#14583124C2211yescharacteristic
113#14583124C2211yescharacteristic, complemented
114#14583124C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic
116#14583122C2211yescharacteristic, complemented
117#14583121C2211yescharacteristic
118#14583121C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic
120#14583120C2211yescharacteristic
121#14583118C2211yescharacteristic
122#14583118C2211yescharacteristic
123#14583110C2211yescharacteristic, complemented
124#14583109C2211yescharacteristic, complemented
125#14583109C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583108C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583106C2211yescharacteristic, complemented
132#14583105C2211yescharacteristic
133#14583105C2211yescharacteristic, complemented
134#14583104C2211yescharacteristic
135#14583103C2211yescharacteristic
136#14583103C2211yescharacteristic, complemented
137#14583102C2211yescharacteristic
138#14583100C2211yescharacteristic
139#14583099C2211yescharacteristic
140#14583098C2211yescharacteristic
141#14583098C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583064C2211yescharacteristic
144#14583064C2211yescharacteristic
145#14583060C2211yescharacteristic
146#14583056C2211yescharacteristic
147#14583056C2211yescharacteristic
148#14583056C2211yescharacteristic
149#14583053C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583051C2211yescharacteristic
153#14583048C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583005C2211yescharacteristic, complemented
162#14583004C2211yescharacteristic, complemented
163#14583004C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14583003C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14583003C2211yescharacteristic, complemented
168#14583001C2211yescharacteristic
169#14583001C2211yescharacteristic, complemented
170#14582998C2211yescharacteristic
171#14582998C2211yescharacteristic, complemented
172#14582998C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic
175C4×Dic172C2211yescharacteristic, complemented
176#14582993C2211yescharacteristic, complemented
177#14582991C2211yescharacteristic, complemented
178#14582990C2211yescharacteristic
179C4×#10621884C2211yescharacteristic
180#14582986C2211yescharacteristic
181C4×#10621883C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#556C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#441C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205C2×D4×D43C2311yescharacteristic
206C2×Dic172C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063324—21no—
231#13063324—21no—
232#13063324D411yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323D411yescharacteristic
236#13063323C2311yescharacteristic
237#13063323C2311yescharacteristic
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063319—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063317—21no—
257#13063317—21no—
258#13063317—21no—
259#13063317—21no—
260#13063317—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316—21no—
267#13063316—21no—
268#13063316—21no—
269#13063316C2311yescharacteristic
270#13063316C2311yescharacteristic
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063315—21no—
278#13063315—21no—
279#13063315—21no—
280#13063315—21no—
281#13063315—21no—
282#13063315—21no—
283#13063315—21no—
284#13063315—21no—
285#13063315—21no—
286#13063315D411yescharacteristic
287#13063315D411yescharacteristic
288#13063314—21no—
289#13063314C2311yescharacteristic
290#13063314C2311yescharacteristic
291#13063314C2311yescharacteristic
292#13063313—21no—
293#13063313C2311yescharacteristic
294#13063313C2311yescharacteristic
295#13063312C2311yescharacteristic
296#13063311—21no—
297#13063311—21no—
298#13063311—21no—
299#13063311—21no—
300#13063310—21no—
301#13063310—21no—
302#13063310—21no—
303#13063310—21no—
304#13063310—21no—
305#13063310—21no—
306#13063309—21no—
307#13063308—21no—
308#13063307—21no—
309#13063307—21no—
310#13063305—21no—
311#13063305D411yescharacteristic
312#13063305C2311yescharacteristic
313#13063305C2311yescharacteristic
314#13063305C2311yescharacteristic
315#13063303—21no—
316#13063303—21no—
317#13063303—21no—
318#13063303—21no—
319#13063303D411yescharacteristic
320#13063303D411yescharacteristic
321#13063302—21no—
322#13063301—21no—
323#13063301D411yescharacteristic
324#13063301C2311yescharacteristic
325#13063298—21no—
326#13063298—21no—
327#13063295—21no—
328#13063295—21no—
329Q8×Dic43—21no—
330Q8×Dic43—21no—
331Q8×Dic43—21no—
332Q8×Dic43C2311yescharacteristic
333Q8×Dic43C2311yescharacteristic
334C4×Dic86—21no—
335C4×Dic86—21no—
336C4×Dic86—21no—
337C4×Dic86—21no—
338C4×Dic86—21no—
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341C4×Dic86C2311yescharacteristic
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346#13063290—21no—
347#13063290—21no—
348#13063290—21no—
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356C4×D172—21no—
357C4×D172—21no—
358C4×D172C2311yescharacteristic
359C4×D172C2311yescharacteristic
360D4×Dic43C2311yescharacteristic
361#13063287—21no—
362#13063287—21no—
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283—21no—
372#13063283—21no—
373#13063283C2311yescharacteristic
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063282C2311yescharacteristic
379#13063281—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C42×D43—21no—
385C42×D43C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449C22⋊Q8×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43—21no—
480C2×Q8×C43C2×D411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C2×C22⋊D43—21no—
487C2×C22⋊D43—21no—
488C2×C22⋊D43—21no—
489C22×Dic43—21no—
490#10621902—41no—
491#10621902—41no—
492Q8×D43—41no—
493Q8×D43—41no—
494D4×D43—41no—
495D4×D43—41no—
496C2×D172—21no—
497C2×D172—21no—
498C2×D172—21no—
499C2×D172C2411yescharacteristic
500C2×D172C2411yescharacteristic
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86C2×D411yescharacteristic
513C2×Dic86C2×D411yescharacteristic
514C2×Dic86C2×D411yescharacteristic
515C2×Dic86C2411yescharacteristic
516C2×Dic86C2411yescharacteristic
517C2×Dic86C2411yescharacteristic
518C2×Dic86C2411yescharacteristic
519Q16×C43—41no—
520Q16×C43—41no—
521SD16×C43—41no—
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43—21no—
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43—21no—
536C4⋊C4×C43—21no—
537C4⋊C4×C43—21no—
538C4⋊C4×C43C2×D411yescharacteristic
539C4⋊C4×C43C2×D411yescharacteristic
540C4⋊C4×C43C2×D411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C4⋊C4×C43C2411yescharacteristic
543C4⋊C4×C43C2411yescharacteristic
544C4⋊C4×C43C2411yescharacteristic
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C22⋊C4×C43—21no—
549C22⋊C4×C43—21no—
550C42×C43—21no—
551C42×C43—21no—
552C42×C43—21no—
553C42×C43—21no—
554C42×C43—21no—
555C42×C43C2411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561#10621885—41no—
562#10621885—41no—
563#10621885—41no—
564#10621885—41no—
565#10621885—41no—
566#10621885—41no—
567#10621885—41no—
568#10621884—41no—
569#10621884—41no—
570#10621883—41no—
571#10621883—41no—
572#10621883—41no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4C2×D411yescharacteristic
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43C2×D411yescharacteristic
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2×D411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664C4×Dic43C2411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670Dic172—41no—
671Dic172—41no—
672Dic172—41no—
673#10621873—41no—
674#10621873—41no—
675#10621873—41no—
676#10621873—41no—
677#10621873—41no—
678#10621873—41no—
679C23×C43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—42no—
683C22×D43—81no—
684C22×D43—81no—
685C22×D43C22×D411yescharacteristic
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—41no—
693Q8×C43—42no—
694D4×C43—21no—
695D4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—81no—
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C2511yescharacteristic
711C22⋊D43—42no—
712C22⋊D43—81no—
713C22⋊D43—81no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—81no—
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728D172—21no—
729D172—21no—
730D172—21no—
731D172—21no—
732D172—42no—
733D172—81no—
734D172—81no—
735C4×D43—21no—
736C4×D43—21no—
737C4×D43—41no—
738C4×D43—41no—
739C4×D43—42no—
740C4×D43—42no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43—81no—
745Dic86—21no—
746Dic86—21no—
747Dic86—21no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—21no—
753Dic86—41no—
754Dic86—41no—
755Dic86—41no—
756Dic86—42no—
757Dic86—42no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43—21no—
761C8×C43—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8—21no—
765C43⋊C8—21no—
766#61943—431nomaximal, Sylow
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43C23×D411yescharacteristic
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—162no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43#58511yescharacteristic
795C4×C43#58511yescharacteristic
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—21no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43—41no—
809#3556—431no—
810#3510—431no—
811#3400—431no—
812#3400—431no—
813#3400—431no—
814#3400—431no—
815#3398—431no—
816#3398—431no—
817#3398—431no—
818#3398—431no—
819#3377—431no—
820#3377—431no—
821#3377—431no—
822#3377D4311yescharacteristic, complemented
823#3371—431no—
824#3371—431no—
825#3371—431no—
826#3371—431no—
827#3223—431no—
828#3223—431no—
829#3222—431no—
830#3222—431no—
831#3215—431no—
832#3215—431no—
833#3127—431no—
834#3127—431no—
835#3123—431no—
836#3123—431no—
837#3116—431no—
838#3116—431no—
839#2987—431no—
840C2×C43—81no—
841C2×C43#348711yescharacteristic
842C2×C43#358611yescharacteristic
843C2×C43#358611yescharacteristic
844D43—41no—
845D43—81no—
846D43—81no—
847#564—861no—
848#564—861no—
849#559—431no—
850#559—431no—
851#559—431no—
852#559—431no—
853#557—431no—
854#557—431no—
855#557—431no—
856#557—431no—
857#557—431no—
858#557—431no—
859#557—431no—
860#557—861no—
861#557—861no—
862#557C2×D4311yescharacteristic, complemented
863#556—431no—
864#556—431no—
865#556—431no—
866#556C2×D4311yescharacteristic
867#551—861no—
868#551—861no—
869#551—861no—
870#551—861no—
871#542—861no—
872#542—861no—
873#541—431no—
874#541—431no—
875#541—431no—
876#541—431no—
877#541—861no—
878#541—861no—
879#541—861no—
880#541—861no—
881#536—431no—
882#535—431no—
883#533—431no—
884#533—431no—
885#533—431no—
886#529—861no—
887#529—861no—
888C2×#124—431no—
889#519—431no—
890#518—431no—
891C4×#41—431no—
892#497—431no—
893#497—431no—
894#497—431no—
895#497—431no—
896#497—431no—
897#497—431no—
898#497—431no—
899#497—431no—
900#494—431no—
901#494—431no—
902#492—431no—
903#492—431no—
904#491—431no—
905#491C2×D4311yescharacteristic, complemented
906#490—431no—
907#490—431no—
908#489—431no—
909#489—431no—
910#489—431no—
911#489C2×D4311yescharacteristic
912#488—431no—
913#488—431no—
914#488—431no—
915#488C2×D4311yescharacteristic
916#485—431no—
917#485—431no—
918#485—431no—
919#485—431no—
920#479—431no—
921#479—431no—
922#479—431no—
923#479C2×D4311yescharacteristic, complemented
924#478—431no—
925#478—431no—
926#478—431no—
927#478C2×D4311yescharacteristic
928#477—431no—
929#477C2×D4311yescharacteristic, complemented
930#476—431no—
931#476—431no—
932#464—431no—
933#464—431no—
934#464—431no—
935#464—431no—
936#464—431no—
937#464—431no—
938#464—431no—
939#464—431no—
940#464—431no—
941#464—431no—
942#464—431no—
943#464—431no—
944#464—431no—
945#464—431no—
946#464C2×D4311yescharacteristic
947#464C2×D4311yescharacteristic
948#462—431no—
949#462—431no—
950#462—431no—
951#462—431no—
952#462—431no—
953#462—431no—
954#462—431no—
955#462—431no—
956#462—431no—
957#462C2×D4311yescharacteristic, complemented
958#461—431no—
959#461—431no—
960#461—431no—
961#461—431no—
962#461—431no—
963#461—431no—
964#460—431no—
965#460—431no—
966#460—431no—
967#460—431no—
968#452—431no—
969#452—431no—
970#452—431no—
971#452—431no—
972#451—431no—
973#451—431no—
974#451—431no—
975#451—431no—
976#450—431no—
977#450—431no—
978#450—431no—
979#450—431no—
980#446—431no—
981#446—431no—
982#446—431no—
983#446—431no—
984#446—431no—
985#446—431no—
986#446—431no—
987#446C2×D4311yescharacteristic, complemented
988#441—431no—
989#441—431no—
990#441—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441C2×D4311yescharacteristic, complemented
996#440—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003#440C2×D4311yescharacteristic
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16C2×D4311yescharacteristic, complemented
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×SD16—431no—
1011C4×SD16—431no—
1012#433—431no—
1013#433—431no—
1014#433—431no—
1015#433—431no—
1016#432—431no—
1017#432—431no—
1018C43#6194311yescharacteristic, complemented, Sylow
1019C2×#41—431no—
1020C22×Q8—431no—
1021C22×D4—431no—
1022C2×Q16—431no—
1023C2×Q16—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—431no—
1028C2×Q16—431no—
1029C2×Q16—431no—
1030C2×Q16—431no—
1031C2×Q16—431no—
1032C2×Q16C22×D4311yescharacteristic
1033C2×Q16C22×D4311yescharacteristic
1034C2×SD16—431no—
1035C2×SD16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16—431no—
1040C2×SD16—431no—
1041C2×SD16—431no—
1042C2×SD16—431no—
1043C2×SD16—431no—
1044C2×SD16—431no—
1045C2×SD16C22×D4311yescharacteristic
1046C4⋊Q8—21no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—431no—
1053C4⋊Q8—431no—
1054C4⋊Q8—431no—
1055C4⋊Q8—431no—
1056C4⋊Q8—431no—
1057C4⋊Q8—861no—
1058C4⋊Q8—861no—
1059C4⋊Q8—861no—
1060C4⋊Q8C22×D4311yescharacteristic
1061C4⋊Q8C22×D4311yescharacteristic
1062#127—431no—
1063#127—431no—
1064#126—21no—
1065#126—21no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#125—21no—
1081#125—21no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125C22×D4311yescharacteristic
1115#125C22×D4311yescharacteristic
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124C22×D4311yescharacteristic
1129#124C22×D4311yescharacteristic
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140C22⋊Q8—21no—
1141C22⋊Q8—431no—
1142C22⋊Q8—431no—
1143C22⋊Q8—431no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156#121—861no—
1157#121—861no—
1158#120—861no—
1159#120—861no—
1160C4×Q8—21no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8C22×D4311yescharacteristic
1189C4×Q8C22×D4311yescharacteristic
1190C4×Q8C22×D4311yescharacteristic
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—431no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4C22×D4311yescharacteristic
1208#117—21no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—861no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220C2×C22⋊C4—861no—
1221C2×C22⋊C4—861no—
1222C2×C22⋊C4—861no—
1223C2×C22⋊C4—861no—
1224C2×C42—431no—
1225C2×C42—861no—
1226#107—431no—
1227#107—431no—
1228#107C22×D4311yescharacteristic
1229#107C22×D4311yescharacteristic
1230#106—431no—
1231#106—431no—
1232#106—431no—
1233#106C22×D4311yescharacteristic
1234C4⋊C8—431no—
1235C4⋊C8—431no—
1236C4⋊C8—431no—
1237C4⋊C8—431no—
1238C4⋊C8—431no—
1239C4⋊C8—431no—
1240C4⋊C8—431no—
1241C4⋊C8—431no—
1242C4⋊C8—431no—
1243C4⋊C8C22×D4311yescharacteristic
1244C4⋊C8C22×D4311yescharacteristic
1245C4⋊C8C22×D4311yescharacteristic
1246#103—431no—
1247#103—431no—
1248#103—431no—
1249#103—431no—
1250#103—431no—
1251#103—431no—
1252#103—431no—
1253#103—431no—
1254#103—431no—
1255#103—431no—
1256#103—431no—
1257#103—431no—
1258#103—431no—
1259#103C22×D4311yescharacteristic
1260#103C22×D4311yescharacteristic
1261#103C22×D4311yescharacteristic
1262#103C22×D4311yescharacteristic
1263#103C22×D4311yescharacteristic
1264#103C22×D4311yescharacteristic
1265#103C22×D4311yescharacteristic
1266#102—431no—
1267#102—431no—
1268#102—431no—
1269#102—431no—
1270#102—431no—
1271#102—431no—
1272#102—431no—
1273#102—431no—
1274#102—431no—
1275#102C22×D4311yescharacteristic
1276#102C22×D4311yescharacteristic
1277#102C22×D4311yescharacteristic
1278C22⋊C8—431no—
1279C22⋊C8—431no—
1280C22⋊C8—431no—
1281C22⋊C8—431no—
1282#97—431no—
1283#97—431no—
1284#97—431no—
1285#97—431no—
1286#97—431no—
1287#97—431no—
1288#97C22×D4311yescharacteristic
1289#97C22×D4311yescharacteristic
1290C4×C8—431no—
1291C4×C8—431no—
1292C4×C8—431no—
1293C4×C8C22×D4311yescharacteristic
1294C24—861no—
1295#41—1721no—
1296#41—1721no—
1297C2×Q8—21no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—861no—
1306C2×Q8—861no—
1307C2×Q8—1721no—
1308C2×Q8—1721no—
1309C2×Q8D4×D4311yescharacteristic
1310C2×Q8C23×D4311yescharacteristic
1311C2×Q8C23×D4311yescharacteristic
1312C2×Q8C23×D4311yescharacteristic
1313C2×D4—431no—
1314C2×D4—431no—
1315C2×D4—861no—
1316C2×D4—861no—
1317C2×D4—861no—
1318C2×D4—861no—
1319C2×D4—861no—
1320C2×D4—861no—
1321C2×D4—1721no—
1322C2×D4—1721no—
1323C2×D4C23×D4311yescharacteristic
1324C22×C4—21no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—861no—
1329C22×C4—861no—
1330C22×C4—861no—
1331C22×C4—861no—
1332C22×C4—861no—
1333C22×C4—861no—
1334C22×C4—861no—
1335Q16—41no—
1336Q16—41no—
1337Q16—1721no—
1338Q16—1721no—
1339Q16—1721no—
1340Q16—1721no—
1341Q16—1721no—
1342Q16—1721no—
1343Q16—1721no—
1344Q16—1721no—
1345Q16—1721no—
1346Q16—1721no—
1347SD16—41no—
1348SD16—1721no—
1349SD16—1721no—
1350SD16—1721no—
1351SD16—1721no—
1352SD16—1721no—
1353SD16—1721no—
1354SD16—1721no—
1355SD16—1721no—
1356SD16—1721no—
1357SD16—1721no—
1358SD16—1721no—
1359C2×C8—431no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8C23×D4311yescharacteristic
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4D4×D4311yescharacteristic
1431C4⋊C4D4×D4311yescharacteristic
1432C4⋊C4D4×D4311yescharacteristic
1433C4⋊C4C23×D4311yescharacteristic
1434C4⋊C4C23×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42C23×D4311yescharacteristic
1493C42C23×D4311yescharacteristic
1494C42C23×D4311yescharacteristic
1495C23—21no—
1496C23—431no—
1497C23—861no—
1498C23—861no—
1499C23—3441no—
1500C23—3441no—
1501C23—1722no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—21no—
1506Q8—21no—
1507Q8—21no—
1508Q8—41no—
1509Q8—42no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—861no—
1514Q8—861no—
1515Q8—861no—
1516Q8—861no—
1517Q8—861no—
1518Q8—1721no—
1519Q8—1721no—
1520Q8—1721no—
1521Q8—1722no—
1522Q8—1722no—
1523D4—21no—
1524D4—21no—
1525D4—861no—
1526D4—861no—
1527D4—861no—
1528D4—861no—
1529D4—3441no—
1530D4—3441no—
1531D4—3441no—
1532D4—3441no—
1533D4—1722no—
1534D4—1722no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—81no—
1543C2×C4—431no—
1544C2×C4—431no—
1545C2×C4—431no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—1721no—
1564C2×C4—1721no—
1565C2×C4—1722no—
1566C2×C4—1722no—
1567C2×C4C2×D4×D4311yescharacteristic
1568C2×C4C2×D4×D4311yescharacteristic
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C2×D4×D4311yescharacteristic
1573C2×C4C24×D4311yescharacteristic
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C8—861no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—861no—
1586C22—861no—
1587C22—861no—
1588C22—1721no—
1589C22—1721no—
1590C22—1721no—
1591C22—1721no—
1592C22—1721no—
1593C22—1721no—
1594C22—6882no—
1595C22C22×D4×D4311yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4#1458373511yescharacteristic
1623C4#1458373611yescharacteristic
1624C2—81no—
1625C2—3441no—
1626C2—3441no—
1627C2—1721no—
1628C2#1914825211yescharacteristic
1629C2#1914937911yescharacteristic
1630C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3377C2
socleC22×C43C23×D4
prime radical#14583467C22
hypercenter#3377D43
hypocenterC43#61943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #19149087C2semidirect
3. #19147651C2semidirect
4. #19147650C2semidirect
5. #19147649C2semidirect
6. #19147646C2semidirect
7. #19147629C2semidirect
8. #19147627C2semidirect
9. #19147626C2semidirect
10. #19147625C2semidirect
11. #19147444C2semidirect
12. #19147443C2semidirect
13. #19147432C2semidirect
14. #19147366C2semidirect
15. #19147363C2semidirect
16. #19147362C2semidirect
17. #19147361C2semidirect
18. #19145679C2semidirect
19. #19145677C2semidirect
22. #19145599C2semidirect
23. #19145596C2semidirect
24. #19144897C2semidirect
25. #19144892C2semidirect
26. #19144849C2semidirect
27. #19144846C2semidirect
28. #19144760C2semidirect
29. #19144755C2semidirect
30. #19143698C2semidirect
31. C43×#3377C2semidirect
38. #14583628C22semidirect
39. #14583627C22semidirect
40. #14583627C22semidirect
41. #14583627C22semidirect
42. #14583626C22semidirect
43. #14583626C22semidirect
46. #14583624C22semidirect
78. #14583293C22semidirect
81. #14583292C22semidirect
83. #14583278C22semidirect
84. #14583277C22semidirect
87. #14583266C22semidirect
93. #14583256C22semidirect
95. #14583255C22semidirect
100. #14583208C22semidirect
101. #14583205C22semidirect
102. #14583203C22semidirect
106. #14583192C22semidirect
107. #14583188C22semidirect
108. #14583186C22semidirect
113. #14583124C22semidirect
114. #14583124C22semidirect
116. #14583122C22semidirect
118. #14583121C22semidirect
123. #14583110C22semidirect
124. #14583109C22semidirect
125. #14583109C22semidirect
126. #14583108C22semidirect
127. #14583108C22semidirect
128. #14583108C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583106C22semidirect
133. #14583105C22semidirect
136. #14583103C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
161. #14583005C22semidirect
162. #14583004C22semidirect
163. #14583004C22semidirect
164. #14583004C22semidirect
165. #14583003C22semidirect
166. #14583003C22semidirect
167. #14583003C22semidirect
169. #14583001C22semidirect
171. #14582998C22semidirect
172. #14582998C22semidirect
173. #14582997C22semidirect
175. C4×Dic172C22semidirect
176. #14582993C22semidirect
177. #14582991C22semidirect
188. C43×#557C22semidirect
190. C43×#491C22semidirect
193. C43×#479C22semidirect
195. C43×#477C22semidirect
198. C43×#462C22semidirect
199. C43×#446C22semidirect
200. C43×#441C22semidirect
202. C4×Q16×C43C22semidirect
822. #3377D43semidirect
862. #557C2×D43semidirect
905. #491C2×D43semidirect
923. #479C2×D43semidirect
929. #477C2×D43semidirect
957. #462C2×D43semidirect
987. #446C2×D43semidirect
995. #441C2×D43semidirect
1007. C4×Q16C2×D43semidirect
1018. C43#61943semidirect

Maximal subgroups

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

subgroupindex
#191490872
#191484852
#191476512
#191476502
#191476492
#191476462
#191476292
#191476272
#191476262
#191476252
#191474442
#191474432
#191474322
#191473662
#191473632
#191473622
#191473612
#191456792
#191456772
#191456702
#191456642
#191455992
#191455962
#191448972
#191448922
#191448492
#191448462
#191447602
#191447552
#191436982
C43×#33772
#6194343