Finite Group Databasebeta

← #25980003

Subgroups — #25980003

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148577C211yesmaximal, characteristic, complemented
2#19148552C211yesmaximal, characteristic, complemented
3#19147659C211yesmaximal, characteristic, complemented
4#19147515C211yesmaximal, characteristic, complemented
5#19147368C211yesmaximal, characteristic, complemented
6#19147310C211yesmaximal, characteristic, complemented
7#19147215C211yesmaximal, characteristic, complemented
8#19147128C211yesmaximal, characteristic, complemented
9#19147088C211yesmaximal, characteristic, complemented
10#19146885C211yesmaximal, characteristic, complemented
11#19146791C211yesmaximal, characteristic, complemented
12#19146678C211yesmaximal, characteristic, complemented
13#19146657C211yesmaximal, characteristic, complemented
14#19146622C211yesmaximal, characteristic, complemented
15#19146227C211yesmaximal, characteristic, complemented
16#19146108C211yesmaximal, characteristic, complemented
17#19146093C211yesmaximal, characteristic, complemented
18#19145258C211yesmaximal, characteristic, complemented
19#19145233C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144850C211yesmaximal, characteristic, complemented
22#19144843C211yesmaximal, characteristic, complemented
23#19144831C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144712C211yesmaximal, characteristic, complemented
26#19144699C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143451C211yesmaximal, characteristic, complemented
29#19143430C211yesmaximal, characteristic, complemented
30#19143410C211yesmaximal, characteristic, complemented
31C43×#3321C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583628C2211yescharacteristic, complemented
37#14583618—21no—
38#14583618C2211yescharacteristic, complemented
39#14583617C2211yescharacteristic
40#14583612C2211yescharacteristic
41#14583606—21no—
42#14583606C2211yescharacteristic, complemented
43#14583601—21no—
44#14583601C2211yescharacteristic, complemented
45#14583591—21no—
46#14583591C2211yescharacteristic
47#14583579—21no—
48#14583573—21no—
49#14583564C2211yescharacteristic
50Q8×C22⋊D43C2211yescharacteristic, complemented
51#14583557—21no—
52#14583556C2211yescharacteristic
53#14583546C2211yescharacteristic
54#14583545C2211yescharacteristic
55#14583538—21no—
56#14583533C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583518—21no—
59#14583518C2211yescharacteristic, complemented
60#14583516C2211yescharacteristic
61#14583509—21no—
62#14583509C2211yescharacteristic, complemented
63#14583483—21no—
64#14583481—21no—
65#14583444C2211yescharacteristic
66#14583430—21no—
67#14583430C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583427—21no—
71#124×D43—21no—
72#14583382C2211yescharacteristic, complemented
73#14583375C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic
77C2×Q8×Dic43C2211yescharacteristic, complemented
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583302C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583281C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic
85#14583259C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583239C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic
95#14583221C2211yescharacteristic, complemented
96#14583213C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic
98#14583210C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic
102#14583198C2211yescharacteristic
103#14583192C2211yescharacteristic, complemented
104#14583192C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583191C2211yescharacteristic, complemented
107#14583189C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic
109#14583177C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic
113#14583145C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic
116#14583143C2211yescharacteristic, complemented
117#14583140C2211yescharacteristic, complemented
118#14583139C2211yescharacteristic, complemented
119#14583134C2211yescharacteristic
120#14583122C2211yescharacteristic, complemented
121#14583121C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583119C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic
125#14583112C2211yescharacteristic, complemented
126#14583111C2211yescharacteristic
127#14583103C2211yescharacteristic
128#14583103C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic
130#14583097C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583061C2211yescharacteristic, complemented
133#14583056C2211yescharacteristic, complemented
134#14583052C2211yescharacteristic
135#14583049C2211yescharacteristic
136#14583048C2211yescharacteristic
137#14583042C2211yescharacteristic
138#14583039C2211yescharacteristic
139#14583038C2211yescharacteristic, complemented
140#14583031C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic
144#14583008C2211yescharacteristic, complemented
145#14583005C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic
151#14583002C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583001C2211yescharacteristic
154#14583000C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic
162#14582986C2211yescharacteristic, complemented
163C4×#10621883C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic
165#14582984C2211yescharacteristic
166#14582984C2211yescharacteristic, complemented
167D8×Dic43C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582973C2211yescharacteristic
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582942C2211yescharacteristic, complemented
180#14582936C2211yescharacteristic, complemented
181#14582906C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582901C2211yescharacteristic
184C2×#13063247C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic
189C43×#548C2211yescharacteristic, complemented
190C43×#489C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#475C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#448C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×Q8×D43—21no—
206C2×Q8×D43C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210#13063356—24no—
211#13063350—24no—
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223SD16×D43—24no—
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325—21no—
231#13063325C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320D411yescharacteristic
240#13063319—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063316—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316—21no—
255#13063316—21no—
256#13063316C2311yescharacteristic
257#13063316C2311yescharacteristic
258#13063315—21no—
259#13063315D411yescharacteristic
260#13063314—21no—
261#13063313—21no—
262#13063313C2311yescharacteristic
263#13063312—21no—
264#13063312—21no—
265#13063312C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311D411yescharacteristic
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063309—21no—
277#13063309—21no—
278#13063309D411yescharacteristic
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306D411yescharacteristic
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304—21no—
288#13063304C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302D411yescharacteristic
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297D411yescharacteristic
311#13063296—21no—
312#13063296—21no—
313#13063296C2311yescharacteristic
314#13063295—21no—
315#13063293—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43—21no—
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×C4⋊Dic43—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×C4⋊Dic43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#124×C43—21no—
447#124×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43—21no—
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×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
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43—22no—
488C2×Q8×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43C2×D411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43C2×D411yescharacteristic
517C22×Dic43C2×D411yescharacteristic
518Q8×D43—22no—
519Q8×D43—41no—
520Q8×D43—82no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—41no—
524D4×D43—82no—
525#10621898—22no—
526#10621898—41no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—22no—
530C2×D172—41no—
531C2×D172C2411yescharacteristic
532C2×D172C2411yescharacteristic
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43C2411yescharacteristic
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—41no—
551D8×C43—41no—
552M16×C43—41no—
553C2×C8×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43C2×D411yescharacteristic
576C22⋊C4×C43C2×D411yescharacteristic
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621885—22no—
597#10621885—22no—
598#10621884—22no—
599#10621884—22no—
600#10621884—41no—
601#10621884#4114yescomplemented
602#10621883—22no—
603#10621883—41no—
604#10621882—22no—
605#10621882—22no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679#10621877—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—41no—
685#10621873—22no—
686#10621873—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—81no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—42no—
706Q8×C43—81no—
707Q8×C43C2×#4112yes—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—41no—
713D4×C43—42no—
714D4×C43—42no—
715D4×C43—81no—
716D4×C43—81no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—42no—
728C2×C4×C43—42no—
729C2×C4×C43—81no—
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—41no—
736C22⋊D43—41no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—41no—
750C2×Dic43—41no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763D172—21no—
764D172—21no—
765D172—21no—
766D172—42no—
767D172—81no—
768D172C2×#4112yes—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—21no—
783Dic86—41no—
784Dic86—42no—
785Dic86—42no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61513—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—22no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—162no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—22no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3516—431no—
847#3514—431no—
848#3401—431no—
849#3386—431no—
850#3371—431no—
851#3367—431no—
852#3357—431no—
853#3349—431no—
854#3347—431no—
855#3329—431no—
856#3322—431no—
857#3321D4311yescharacteristic, complemented
858#3314—431no—
859#3313—431no—
860#3310—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3178—431no—
865#3175—431no—
866#3171—431no—
867#3124—431no—
868#3123—431no—
869#3121—431no—
870#3118—431no—
871#3112—431no—
872#3111—431no—
873#2967—431no—
874#2949—431no—
875#2946—431no—
876C4×#137—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—42no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891#557—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555C2×D4311yescharacteristic
897#554—431no—
898#554—861no—
899#553—431no—
900#553—861no—
901#552—431no—
902#552—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906D4×Q8—431no—
907#548—431no—
908#548—861no—
909#548C2×D4311yescharacteristic, complemented
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#541—431no—
919#541—861no—
920#538—861no—
921#538—861no—
922#532—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926#529—861no—
927#529—861no—
928C2×#124—861no—
929#520—431no—
930#519—431no—
931#518—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×Q8—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#490—431no—
942#489—431no—
943#489—431no—
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485C2×D4311yescharacteristic, complemented
952#484—431no—
953#482—431no—
954#482—431no—
955#482C2×D4311yescharacteristic, complemented
956#480—431no—
957#480—431no—
958#480—431no—
959#479—431no—
960#478—431no—
961#478—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#477—431no—
966#477—431no—
967#476—431no—
968#475C2×D4311yescharacteristic, complemented
969#474—431no—
970#474—431no—
971#470—431no—
972#469—431no—
973#469C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#467—431no—
981#466—431no—
982#465C2×D4311yescharacteristic
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463C2×D4311yescharacteristic, complemented
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449C2×D4311yescharacteristic
1003#448—431no—
1004#448—431no—
1005#448C2×D4311yescharacteristic, complemented
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#441—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435C2×D4311yescharacteristic, complemented
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#419C2×D4311yescharacteristic, complemented
1051#418—431no—
1052#417—431no—
1053#416C2×D4311yescharacteristic, complemented
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8—431no—
1063C22×Q8—861no—
1064C22×Q8C22×D4311yescharacteristic
1065C22×D4—431no—
1066C22×D4—431no—
1067C22×D4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—864no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8C22×D4311yescharacteristic
1100#127—431no—
1101#126—431no—
1102#126—431no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—431no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124C22×D4311yescharacteristic
1141#123—431no—
1142#123—431no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—21no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—431no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8C22×D4311yescharacteristic
1210C4×D4—21no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117C22×D4311yescharacteristic
1253#117C22×D4311yescharacteristic
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C22⋊C4—861no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—862no—
1356C2×Q8—3442no—
1357C2×Q8—1721no—
1358C2×Q8C23×D4311yescharacteristic
1359C2×Q8C23×D4311yescharacteristic
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4D4×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—41no—
1410SD16—434no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—41no—
1419D8—862no—
1420D8—862no—
1421M16—41no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425C2×C8—41no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—862no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4D4×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—431no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—42no—
1562Q8—81no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571Q8—1722no—
1572Q8#41×D4312yes—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—41no—
1578D4—42no—
1579D4—42no—
1580D4—81no—
1581D4—81no—
1582D4—432no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—1722no—
1591D4—1721no—
1592D4—1721no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1721no—
1638C2×C4—1721no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—861no—
1665C22—862no—
1666C22—861no—
1667C22—861no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—6882no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—22no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807911yescharacteristic
1709C2#1914937311yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3321C2
socleC22×C43C23×D4
hypercenter#3321D43
hypocenterC43#61513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #19148577C2semidirect
2. #19148552C2semidirect
3. #19147659C2semidirect
4. #19147515C2semidirect
5. #19147368C2semidirect
6. #19147310C2semidirect
7. #19147215C2semidirect
8. #19147128C2semidirect
9. #19147088C2semidirect
10. #19146885C2semidirect
11. #19146791C2semidirect
12. #19146678C2semidirect
13. #19146657C2semidirect
14. #19146622C2semidirect
15. #19146227C2semidirect
16. #19146108C2semidirect
17. #19146093C2semidirect
18. #19145258C2semidirect
19. #19145233C2semidirect
20. #19145185C2semidirect
21. #19144850C2semidirect
22. #19144843C2semidirect
23. #19144831C2semidirect
24. #19144776C2semidirect
25. #19144712C2semidirect
26. #19144699C2semidirect
27. #19143574C2semidirect
28. #19143451C2semidirect
29. #19143430C2semidirect
30. #19143410C2semidirect
31. C43×#3321C2semidirect
36. #14583628C22semidirect
38. #14583618C22semidirect
42. #14583606C22semidirect
44. #14583601C22semidirect
50. Q8×C22⋊D43C22semidirect
59. #14583518C22semidirect
62. #14583509C22semidirect
67. #14583430C22semidirect
72. #14583382C22semidirect
73. #14583375C22semidirect
77. C2×Q8×Dic43C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583302C22semidirect
81. #14583290C22semidirect
83. #14583281C22semidirect
85. #14583259C22semidirect
86. #14583257C22semidirect
87. #14583252C22semidirect
88. #14583248C22semidirect
89. #14583243C22semidirect
90. #14583240C22semidirect
91. #14583240C22semidirect
92. #14583239C22semidirect
93. #14583235C22semidirect
95. #14583221C22semidirect
96. #14583213C22semidirect
98. #14583210C22semidirect
99. #14583205C22semidirect
100. #14583202C22semidirect
103. #14583192C22semidirect
104. #14583192C22semidirect
105. #14583192C22semidirect
106. #14583191C22semidirect
107. #14583189C22semidirect
109. #14583177C22semidirect
110. #14583155C22semidirect
111. #14583150C22semidirect
113. #14583145C22semidirect
114. #14583144C22semidirect
116. #14583143C22semidirect
117. #14583140C22semidirect
118. #14583139C22semidirect
120. #14583122C22semidirect
121. #14583121C22semidirect
122. #14583120C22semidirect
123. #14583119C22semidirect
125. #14583112C22semidirect
128. #14583103C22semidirect
132. #14583061C22semidirect
133. #14583056C22semidirect
139. #14583038C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
144. #14583008C22semidirect
145. #14583005C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
151. #14583002C22semidirect
152. #14583002C22semidirect
154. #14583000C22semidirect
155. #14583000C22semidirect
157. #14582996C22semidirect
158. #14582991C22semidirect
159. #14582991C22semidirect
160. #14582990C22semidirect
162. #14582986C22semidirect
163. C4×#10621883C22semidirect
166. #14582984C22semidirect
167. D8×Dic43C22semidirect
169. #14582979C22semidirect
170. #14582977C22semidirect
171. #14582975C22semidirect
173. #14582973C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582942C22semidirect
180. #14582936C22semidirect
181. #14582906C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
187. M16×Dic43C22semidirect
189. C43×#548C22semidirect
190. C43×#489C22semidirect
191. C43×#485C22semidirect
192. C43×#482C22semidirect
193. C43×#475C22semidirect
194. C43×#469C22semidirect
196. C43×#463C22semidirect
198. C43×#448C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#419C22semidirect
202. C43×#416C22semidirect
601. #10621884#41semidirect
857. #3321D43semidirect
909. #548C2×D43semidirect
944. #489C2×D43semidirect
951. #485C2×D43semidirect
955. #482C2×D43semidirect
968. #475C2×D43semidirect
973. #469C2×D43semidirect
990. #463C2×D43semidirect
1005. #448C2×D43semidirect
1024. #440C2×D43semidirect
1042. #435C2×D43semidirect
1050. #419C2×D43semidirect
1053. #416C2×D43semidirect
1058. C43#61513semidirect

Maximal subgroups

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

subgroupindex
#191485772
#191485522
#191476592
#191475152
#191473682
#191473102
#191472152
#191471282
#191470882
#191468852
#191467912
#191466782
#191466572
#191466222
#191462272
#191461082
#191460932
#191452582
#191452332
#191451852
#191448502
#191448432
#191448312
#191447762
#191447122
#191446992
#191435742
#191434512
#191434302
#191434102
C43×#33212
#6151343