Finite Group Databasebeta

← #25993806

Subgroups — #25993806

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149236C211yesmaximal, characteristic, complemented
2#19148537C211yesmaximal, characteristic, complemented
3#19147548C211yesmaximal, characteristic, complemented
4#19147465C211yesmaximal, characteristic, complemented
5#19147366C211yesmaximal, characteristic, complemented
6#19147254C211yesmaximal, characteristic, complemented
7#19147186C211yesmaximal, characteristic, complemented
8#19147156C211yesmaximal, characteristic, complemented
9#19147152C211yesmaximal, characteristic, complemented
10#19147122C211yesmaximal, characteristic, complemented
11#19147031C211yesmaximal, characteristic, complemented
12#19146993C211yesmaximal, characteristic, complemented
13#19146823C211yesmaximal, characteristic, complemented
14#19146812C211yesmaximal, characteristic, complemented
15#19146797C211yesmaximal, characteristic, complemented
16#19146747C211yesmaximal, characteristic, complemented
17#19146733C211yesmaximal, characteristic, complemented
18#19146431C211yesmaximal, characteristic, complemented
19#19146058C211yesmaximal, characteristic, complemented
20#19146008C211yesmaximal, characteristic, complemented
21#19145998C211yesmaximal, characteristic, complemented
22#19145900C211yesmaximal, characteristic, complemented
23#19145848C211yesmaximal, characteristic, complemented
24#19145779C211yesmaximal, characteristic, complemented
25#19144872C211yesmaximal, characteristic, complemented
26#19144786C211yesmaximal, characteristic, complemented
27#19144647C211yesmaximal, characteristic, complemented
28#19144423C211yesmaximal, characteristic, complemented
29#19144387C211yesmaximal, characteristic, complemented
30#19143742C211yesmaximal, characteristic, complemented
31C43×#3083C211yesmaximal, characteristic, complemented
32#14583653—21no—
33#14583645—21no—
34#14583634C2211yescharacteristic
35#14583626C2211yescharacteristic, complemented
36#14583623C2211yescharacteristic
37#14583620—21no—
38#14583612C2211yescharacteristic, complemented
39#14583610C2211yescharacteristic, complemented
40#14583608C2211yescharacteristic
41#14583602C2211yescharacteristic
42#14583598—21no—
43#14583597C2211yescharacteristic
44#14583597C2211yescharacteristic, complemented
45#14583590C2211yescharacteristic
46#14583588C2211yescharacteristic, complemented
47#14583584C2211yescharacteristic, complemented
48#14583581—21no—
49#14583573—21no—
50#14583573—21no—
51#14583550C2211yescharacteristic
52#14583545—21no—
53#14583537C2211yescharacteristic
54#14583537C2211yescharacteristic
55D4×D172C2211yescharacteristic
56#14583529C2211yescharacteristic, complemented
57#14583523—21no—
58#14583523C2211yescharacteristic, complemented
59#14583522—21no—
60#14583521C2211yescharacteristic
61#14583520C2211yescharacteristic, complemented
62#14583510—21no—
63#14583504C2211yescharacteristic
64#14583496—21no—
65#14583495—21no—
66#14583482—21no—
67#14583454C2211yescharacteristic, complemented
68#14583436C2211yescharacteristic
69#14583434C2211yescharacteristic, complemented
70#14583427C2211yescharacteristic
71#14583408—21no—
72C2×#13063310—21no—
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583307C2211yescharacteristic, complemented
76#14583305C2211yescharacteristic, complemented
77#14583300C2211yescharacteristic, complemented
78#14583300C2211yescharacteristic, complemented
79#14583298C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583265C2211yescharacteristic
82#14583260C2211yescharacteristic, complemented
83#14583255C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic, complemented
86#14583247C2211yescharacteristic
87#14583242C2211yescharacteristic, complemented
88#14583239C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583238C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583229C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic
95#14583226C2211yescharacteristic
96#14583226C2211yescharacteristic
97#14583226C2211yescharacteristic, complemented
98#14583223C2211yescharacteristic, complemented
99#14583223C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic
101#14583219C2211yescharacteristic, complemented
102#14583217C2211yescharacteristic, complemented
103#14583217C2211yescharacteristic, complemented
104#14583212C2211yescharacteristic, complemented
105#14583209C2211yescharacteristic, complemented
106#14583207C2211yescharacteristic, complemented
107#14583202C2211yescharacteristic, complemented
108#14583202C2211yescharacteristic, complemented
109#14583202C2211yescharacteristic, complemented
110#14583202C2211yescharacteristic, complemented
111#14583201C2211yescharacteristic
112#14583201C2211yescharacteristic
113#14583200C2211yescharacteristic, complemented
114#14583197C2211yescharacteristic
115#14583196C2211yescharacteristic, complemented
116#14583196C2211yescharacteristic, complemented
117#14583193C2211yescharacteristic, complemented
118#14583190C2211yescharacteristic, complemented
119#14583189C2211yescharacteristic
120#14583188C2211yescharacteristic, complemented
121#14583186C2211yescharacteristic, complemented
122#14583184C2211yescharacteristic, complemented
123#14583180C2211yescharacteristic, complemented
124#14583178C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic
126#14583176C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic, complemented
128#14583153C2211yescharacteristic
129#14583152C2211yescharacteristic, complemented
130#14583148C2211yescharacteristic, complemented
131#14583148C2211yescharacteristic, complemented
132#14583146C2211yescharacteristic
133#14583146C2211yescharacteristic
134#14583145C2211yescharacteristic, complemented
135#14583139C2211yescharacteristic, complemented
136#14583136C2211yescharacteristic
137#14583135C2211yescharacteristic, complemented
138#14583128C2211yescharacteristic, complemented
139#14583124C2211yescharacteristic, complemented
140#14583124C2211yescharacteristic, complemented
141#14583121C2211yescharacteristic, complemented
142#14583117C2211yescharacteristic, complemented
143#14583117C2211yescharacteristic, complemented
144#14583115C2211yescharacteristic, complemented
145#14583115C2211yescharacteristic, complemented
146#14583114C2211yescharacteristic
147#14583100C2211yescharacteristic
148#14583095C2211yescharacteristic
149#14583061C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583051C2211yescharacteristic
152#14583044C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583034C2211yescharacteristic
155#14583028C2211yescharacteristic, complemented
156#14583023C2211yescharacteristic, complemented
157#14583009C2211yescharacteristic
158#14583008C2211yescharacteristic
159#14583004C2211yescharacteristic, complemented
160#14582998C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic
163C4×#10621884C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic, complemented
165C4×#10621883C2211yescharacteristic
166#14582981C2211yescharacteristic, complemented
167#14582981C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic
169#14582976C2211yescharacteristic
170#14582975C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582970C2211yescharacteristic, complemented
173#14582969C2211yescharacteristic
174C8×C22⋊D43C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582959C2211yescharacteristic, complemented
177#14582951C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582940C2211yescharacteristic, complemented
180#14582938C2211yescharacteristic, complemented
181#14582936C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183#14582921C2211yescharacteristic, complemented
184#14582902C2211yescharacteristic
185#14582902C2211yescharacteristic
186#14582902C2211yescharacteristic
187#102×D43C2211yescharacteristic
188C43×#544C2211yescharacteristic, complemented
189C43×#520C2211yescharacteristic
190C43×#479C2211yescharacteristic, complemented
191C43×#479C2211yescharacteristic, complemented
192C43×#478C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#477C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic
197C43×#474C2211yescharacteristic
198C43×#428C2211yescharacteristic, complemented
199C2×#107×C43C2211yescharacteristic, complemented
200C43×#424C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic
202C43×#416C2211yescharacteristic
203C2×#10621898—21no—
204C22×D172—21no—
205C2×D4×D43C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207C22×C4×D43—21no—
208C2×#10621885C2311yescharacteristic
209C2×#10621873C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×D344C2311yescharacteristic
214C2×D344C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325C2311yescharacteristic
221#13063324—21no—
222#13063324—21no—
223#13063324C2311yescharacteristic
224#13063324C2311yescharacteristic
225#13063322C2311yescharacteristic
226#13063320—21no—
227#13063320—21no—
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320D411yescharacteristic
237#13063319—21no—
238#13063319—21no—
239#13063318—21no—
240#13063318D411yescharacteristic
241#13063317—21no—
242#13063317C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315D411yescharacteristic
253#13063314—21no—
254#13063314—21no—
255#13063314C2311yescharacteristic
256#13063314C2311yescharacteristic
257#13063313—21no—
258#13063313—21no—
259#13063313—21no—
260#13063313C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063311D411yescharacteristic
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310D411yescharacteristic
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307D411yescharacteristic
285#13063305—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303D411yescharacteristic
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299—21no—
312#13063299—21no—
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298D411yescharacteristic
320#13063297—21no—
321#13063297—21no—
322#13063295—21no—
323#13063295—21no—
324#13063293—21no—
325#13063293—21no—
326Q8×Dic43—21no—
327Q8×Dic43—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284—21no—
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C42×D43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063256C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431C4×C43⋊C8C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C2×M16×C43C2311yescharacteristic
437C22×C8×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440C4⋊Q8×C43C2311yescharacteristic
441#125×C43—21no—
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43—21no—
446C4×Q8×C43C2311yescharacteristic
447C4×Q8×C43C2311yescharacteristic
448C4×D4×C43—21no—
449C4×D4×C43—21no—
450C4×D4×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452#117×C43—21no—
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C4⋊C4×C43—21no—
456C2×C4⋊C4×C43C2311yescharacteristic
457C2×C4⋊C4×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480#41×C43—22no—
481#41×C43—41no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C22×Dic43—21no—
501C22×Dic43—21no—
502D4×D43—22no—
503D4×D43—22no—
504D4×D43—41no—
505D4×D43—41no—
506#10621898—82no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—82no—
514C2×D172C2×D411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×D172C2411yescharacteristic
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—82no—
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2411yescharacteristic
537M16×C43—41no—
538C2×C8×C43—41no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43C2×D411yescharacteristic
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43C2×D411yescharacteristic
565C22⋊C4×C43C2×D411yescharacteristic
566C42×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43C2411yescharacteristic
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43C2×D411yescharacteristic
575C22⋊Dic43C2×D411yescharacteristic
576#10621885—41no—
577#10621884—41no—
578#10621883—22no—
579#10621882—22no—
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)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2×D411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C4×Dic43C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664D344—41no—
665D344—41no—
666#10621873—41no—
667#10621873—41no—
668#10621872—41no—
669#10621872—41no—
670#10621872—41no—
671C8×D43—41no—
672C23×C43—21no—
673C23×C43C22×D411yescharacteristic
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—42no—
678C22×D43—42no—
679C22×D43—42no—
680C22×D43—81no—
681C22×D43—81no—
682C22×D43—81no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—81no—
688Q8×C43—81no—
689D4×C43—21no—
690D4×C43—42no—
691D4×C432−1+412yes—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×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—42no—
702C2×C4×C43—81no—
703C2×C4×C43—81no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C2511yescharacteristic
712C22⋊D43—41no—
713C22⋊D43—41no—
714C22⋊D43—42no—
715C22⋊D43—42no—
716C22⋊D43—81no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—81no—
725C2×Dic43—81no—
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732D172—21no—
733D172—21no—
734D172—21no—
735D172—21no—
736D172—21no—
737D172—21no—
738D172—41no—
739D172—42no—
740D172—81no—
741D172—81no—
742D172—81no—
743D172—81no—
744D172—81no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—41no—
750C4×D43—41no—
751C4×D43—42no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760Dic86—21no—
761Dic86—21no—
762Dic86—41no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—22no—
778C22×C43—21no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43C23×D411yescharacteristic
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—84no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43C2×2−1+411yescharacteristic
812C4×C43#58511yescharacteristic
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—21no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323—431no—
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083D4311yescharacteristic, complemented
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—42no—
856C2×C43—41no—
857C2×C43#348911yescharacteristic
858C2×C43#358411yescharacteristic
859C2×C43#358511yescharacteristic
860D43—41no—
861D43—41no—
862D43—81no—
863D43—81no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—431no—
876#553—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—431no—
887#546—861no—
888D42—431no—
889#544—431no—
890#544C2×D4311yescharacteristic, complemented
891#542—431no—
892#542—431no—
893#542—431no—
894#542—861no—
895#542—861no—
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520C2×D4311yescharacteristic
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499—431no—
914#499—431no—
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#482—431no—
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480—431no—
940#479—431no—
941#479—431no—
942#479C2×D4311yescharacteristic, complemented
943#479C2×D4311yescharacteristic, complemented
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478C2×D4311yescharacteristic
955#478C2×D4311yescharacteristic
956#477—431no—
957#477C2×D4311yescharacteristic, complemented
958#477C2×D4311yescharacteristic, complemented
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474C2×D4311yescharacteristic
969#474C2×D4311yescharacteristic
970#470—431no—
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449—431no—
996#447—431no—
997#447—431no—
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#436—431no—
1014#436—431no—
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428C2×D4311yescharacteristic, complemented
1025#427—431no—
1026C2×#107C2×D4311yescharacteristic, complemented
1027#424—431no—
1028#424C2×D4311yescharacteristic, complemented
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#417C2×D4311yescharacteristic
1034#416C2×D4311yescharacteristic
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—861no—
1038C2×#41C22×D4311yescharacteristic
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—861no—
1042C23×C4—861no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16—431no—
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16C22×D4311yescharacteristic
1055C22×C8—431no—
1056C22×C8C22×D4311yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8C22×D4311yescharacteristic
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#126—431no—
1067#126—431no—
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#126—861no—
1081#125—21no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—431no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125C22×D4311yescharacteristic
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—431no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#123—431no—
1108#123—431no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8C22×D4311yescharacteristic
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—21no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117C22×D4311yescharacteristic
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—861no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4C22×D4311yescharacteristic
1227C2×C4⋊C4C22×D4311yescharacteristic
1228C2×C22⋊C4—861no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107C22×D4311yescharacteristic
1241#107C22×D4311yescharacteristic
1242#107C22×D4311yescharacteristic
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8C22×D4311yescharacteristic
1265C4⋊C8C22×D4311yescharacteristic
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312C24—861no—
1313C24—861no—
1314#41—22no—
1315#41—41no—
1316#41—3442no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—21no—
1326C2×D4—431no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—3442no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—3442no—
1370C22×C4C23×D4311yescharacteristic
1371Q16—1721no—
1372SD16—862no—
1373SD16—1721no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—862no—
1377D8—1721no—
1378D8—1721no—
1379M16—41no—
1380M16—1721no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—41no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
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⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4D4×D4311yescharacteristic
1439C4⋊C4D4×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
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—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—431no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42C23×D4311yescharacteristic
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—431no—
1508C23—431no—
1509C23—861no—
1510C23—861no—
1511C23—861no—
1512C23—3441no—
1513C23—3441no—
1514C23—3441no—
1515C23—1722no—
1516C23—1722no—
1517C23—1722no—
1518C23C2×D4×D4311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—861no—
1524Q8—861no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—42no—
1531D4—861no—
1532D4—861no—
1533D4—861no—
1534D4—861no—
1535D4—861no—
1536D4—861no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—1721no—
1546D4—1722no—
1547D4—1721no—
1548D4—1721no—
1549D4—1722no—
1550D4—1722no—
1551D4#1306337312yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—1721no—
1592C2×C4—1721no—
1593C2×C4—1722no—
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—22no—
1612C22—41no—
1613C22—41no—
1614C22—861no—
1615C22—861no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—3444no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—861no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#1306337311yescharacteristic
1656C4#1458373511yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—3441no—
1660C2—3441no—
1661C2—3441no—
1662C2—1721no—
1663C2—1721no—
1664C2#1914827111yescharacteristic
1665C2#1914936511yescharacteristic
1666C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3083C2
socleC22×C43C23×D4
hypercenter#3083D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3083

Complements

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

NH ≅ G/Ntype
1. #19149236C2semidirect
2. #19148537C2semidirect
3. #19147548C2semidirect
4. #19147465C2semidirect
5. #19147366C2semidirect
6. #19147254C2semidirect
7. #19147186C2semidirect
8. #19147156C2semidirect
9. #19147152C2semidirect
10. #19147122C2semidirect
11. #19147031C2semidirect
12. #19146993C2semidirect
13. #19146823C2semidirect
14. #19146812C2semidirect
15. #19146797C2semidirect
16. #19146747C2semidirect
17. #19146733C2semidirect
18. #19146431C2semidirect
19. #19146058C2semidirect
20. #19146008C2semidirect
21. #19145998C2semidirect
22. #19145900C2semidirect
23. #19145848C2semidirect
24. #19145779C2semidirect
25. #19144872C2semidirect
26. #19144786C2semidirect
27. #19144647C2semidirect
28. #19144423C2semidirect
29. #19144387C2semidirect
30. #19143742C2semidirect
31. C43×#3083C2semidirect
35. #14583626C22semidirect
38. #14583612C22semidirect
39. #14583610C22semidirect
44. #14583597C22semidirect
46. #14583588C22semidirect
47. #14583584C22semidirect
56. #14583529C22semidirect
58. #14583523C22semidirect
61. #14583520C22semidirect
67. #14583454C22semidirect
69. #14583434C22semidirect
75. #14583307C22semidirect
76. #14583305C22semidirect
77. #14583300C22semidirect
78. #14583300C22semidirect
79. #14583298C22semidirect
80. #14583296C22semidirect
82. #14583260C22semidirect
83. #14583255C22semidirect
84. #14583255C22semidirect
85. #14583255C22semidirect
87. #14583242C22semidirect
88. #14583239C22semidirect
89. #14583239C22semidirect
90. #14583238C22semidirect
91. #14583236C22semidirect
92. #14583229C22semidirect
93. #14583228C22semidirect
97. #14583226C22semidirect
98. #14583223C22semidirect
99. #14583223C22semidirect
101. #14583219C22semidirect
102. #14583217C22semidirect
103. #14583217C22semidirect
104. #14583212C22semidirect
105. #14583209C22semidirect
106. #14583207C22semidirect
107. #14583202C22semidirect
108. #14583202C22semidirect
109. #14583202C22semidirect
110. #14583202C22semidirect
113. #14583200C22semidirect
115. #14583196C22semidirect
116. #14583196C22semidirect
117. #14583193C22semidirect
118. #14583190C22semidirect
120. #14583188C22semidirect
121. #14583186C22semidirect
122. #14583184C22semidirect
123. #14583180C22semidirect
124. #14583178C22semidirect
126. #14583176C22semidirect
127. #14583156C22semidirect
129. #14583152C22semidirect
130. #14583148C22semidirect
131. #14583148C22semidirect
134. #14583145C22semidirect
135. #14583139C22semidirect
137. #14583135C22semidirect
138. #14583128C22semidirect
139. #14583124C22semidirect
140. #14583124C22semidirect
141. #14583121C22semidirect
142. #14583117C22semidirect
143. #14583117C22semidirect
144. #14583115C22semidirect
145. #14583115C22semidirect
155. #14583028C22semidirect
156. #14583023C22semidirect
159. #14583004C22semidirect
160. #14582998C22semidirect
163. C4×#10621884C22semidirect
164. #14582986C22semidirect
166. #14582981C22semidirect
167. #14582981C22semidirect
170. #14582975C22semidirect
171. #14582975C22semidirect
172. #14582970C22semidirect
174. C8×C22⋊D43C22semidirect
175. #14582960C22semidirect
176. #14582959C22semidirect
177. #14582951C22semidirect
178. #14582940C22semidirect
179. #14582940C22semidirect
180. #14582938C22semidirect
181. #14582936C22semidirect
182. #14582924C22semidirect
183. #14582921C22semidirect
188. C43×#544C22semidirect
190. C43×#479C22semidirect
191. C43×#479C22semidirect
194. C43×#477C22semidirect
195. C43×#477C22semidirect
198. C43×#428C22semidirect
199. C2×#107×C43C22semidirect
200. C43×#424C22semidirect
851. #3083D43semidirect
890. #544C2×D43semidirect
942. #479C2×D43semidirect
943. #479C2×D43semidirect
957. #477C2×D43semidirect
958. #477C2×D43semidirect
1024. #428C2×D43semidirect
1026. C2×#107C2×D43semidirect
1028. #424C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492362
#191485372
#191475482
#191474652
#191473662
#191472542
#191471862
#191471562
#191471522
#191471222
#191470312
#191469932
#191468232
#191468122
#191467972
#191467472
#191467332
#191464312
#191460582
#191460082
#191459982
#191459002
#191458482
#191457792
#191448722
#191447862
#191446472
#191444232
#191443872
#191437422
C43×#30832
#6217543