Finite Group Databasebeta

← #25975680

Subgroups — #25975680

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148343C211yesmaximal, characteristic, complemented
2#19148329C211yesmaximal, characteristic
3#19147217C211yesmaximal, characteristic, complemented
4#19147178C211yesmaximal, characteristic, complemented
5#19147174C211yesmaximal, characteristic, complemented
6#19147161C211yesmaximal, characteristic, complemented
7#19147160C211yesmaximal, characteristic, complemented
8#19147157C211yesmaximal, characteristic, complemented
9#19147151C211yesmaximal, characteristic, complemented
10#19147147C211yesmaximal, characteristic, complemented
11#19147138C211yesmaximal, characteristic, complemented
12#19147110C211yesmaximal, characteristic, complemented
13#19147103C211yesmaximal, characteristic, complemented
14#19147083C211yesmaximal, characteristic, complemented
15#19147074C211yesmaximal, characteristic, complemented
16#19147039C211yesmaximal, characteristic, complemented
17#19147032C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19144561C211yesmaximal, characteristic, complemented
20#19144546C211yesmaximal, characteristic, complemented
21#19144542C211yesmaximal, characteristic, complemented
22#19144530C211yesmaximal, characteristic, complemented
23#19144432C211yesmaximal, characteristic, complemented
24#19144421C211yesmaximal, characteristic, complemented
25#19144232C211yesmaximal, characteristic, complemented
26#468×D43C211yesmaximal, characteristic, complemented
27#19143449C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143182C211yesmaximal, characteristic, complemented
31C43×#3357C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583620C2211yescharacteristic, complemented
37#14583612C2211yescharacteristic
38#14583604C2211yescharacteristic, complemented
39#14583599C2211yescharacteristic
40#14583596C2211yescharacteristic
41#14583595C2211yescharacteristic
42#14583593C2211yescharacteristic
43#14583591C2211yescharacteristic, complemented
44#14583590C2211yescharacteristic, complemented
45#14583589C2211yescharacteristic, complemented
46#14583584C2211yescharacteristic, complemented
47#14583583—21no—
48#14583581—21no—
49#14583579—21no—
50#14583578—21no—
51#14583576—21no—
52#14583573—21no—
53#14583552C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583542—21no—
56#14583538—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583519—21no—
60#14583513—21no—
61#14583508—21no—
62#14583499—21no—
63#14583472C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583451—21no—
66#14583448—21no—
67#14583429—21no—
68#14583427—21no—
69#14583408C2211yescharacteristic
70C22⋊Q8×D43C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583301C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583240C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583238C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583230C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583228C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic
100#14583226C2211yescharacteristic
101#14583226C2211yescharacteristic, complemented
102#14583224C2211yescharacteristic, complemented
103#14583222C2211yescharacteristic
104#14583222C2211yescharacteristic
105#14583221C2211yescharacteristic, complemented
106#14583220C2211yescharacteristic, complemented
107#14583218C2211yescharacteristic
108#14583217C2211yescharacteristic, complemented
109#14583216C2211yescharacteristic, complemented
110#14583215C2211yescharacteristic
111#14583214C2211yescharacteristic, complemented
112#14583212C2211yescharacteristic
113#14583208C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583206C2211yescharacteristic, complemented
116#14583205C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic, complemented
120#14583198C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583182C2211yescharacteristic, complemented
124#14583181C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583148C2211yescharacteristic
128#14583147C2211yescharacteristic
129#14583146C2211yescharacteristic
130#14583146C2211yescharacteristic, complemented
131#14583145C2211yescharacteristic
132#14583145C2211yescharacteristic, complemented
133#14583144C2211yescharacteristic
134#14583143C2211yescharacteristic
135#14583142C2211yescharacteristic
136#14583142C2211yescharacteristic, complemented
137#14583131C2211yescharacteristic, complemented
138#14583130C2211yescharacteristic, complemented
139#14583127C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582996C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic, complemented
149#14582975C2211yescharacteristic, complemented
150#14582975C2211yescharacteristic, complemented
151#14582973C2211yescharacteristic, complemented
152#14582971C2211yescharacteristic, complemented
153#14582969C2211yescharacteristic, complemented
154#14582967C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582941C2211yescharacteristic, complemented
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582940C2211yescharacteristic, complemented
163#14582940C2211yescharacteristic, complemented
164#14582939C2211yescharacteristic, complemented
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic, complemented
167#14582938C2211yescharacteristic, complemented
168#14582938C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic
170#14582936C2211yescharacteristic
171#14582935C2211yescharacteristic, complemented
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic
174#14582934C2211yescharacteristic, complemented
175C2×#13063258C2211yescharacteristic, complemented
176#107×D43C2211yescharacteristic
177#107×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#500C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#480C2211yescharacteristic
194C43×#480C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213SD16×D43—24no—
214#13063333—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221M16×D43—24no—
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324—21no—
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323—21no—
230#13063323—21no—
231#13063321—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063314—21no—
256#13063313—21no—
257#13063311—21no—
258#13063311—21no—
259#13063311—21no—
260#13063311—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310D411yescharacteristic
266#13063309—21no—
267#13063308—21no—
268#13063308—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307D411yescharacteristic
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063305C2311yescharacteristic
278#13063305C2311yescharacteristic
279#13063304—21no—
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303D411yescharacteristic
287#13063302—21no—
288#13063302—21no—
289#13063302D411yescharacteristic
290#13063301—21no—
291#13063301—21no—
292#13063301—21no—
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298D411yescharacteristic
304#13063297—21no—
305#13063297—21no—
306#13063297D411yescharacteristic
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295D411yescharacteristic
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43—21no—
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319#13063290—21no—
320#13063290—21no—
321#13063290—21no—
322#13063290C2311yescharacteristic
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327D4×Dic43C2311yescharacteristic
328#13063287—21no—
329#13063287C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43C2311yescharacteristic
336C4×C22⋊D43C2311yescharacteristic
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342#13063284—21no—
343#13063284C2311yescharacteristic
344#13063284C2311yescharacteristic
345#13063283—21no—
346#13063283—21no—
347#13063283—21no—
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063282—21no—
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C4⋊C4×D43—21no—
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C2×(C2×D43)⋊C4—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#125×C43—21no—
444#124×C43—21no—
445#124×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43C2×D411yescharacteristic
508#10621902—82no—
509Q8×D43—22no—
510Q8×D43—22no—
511#10621900—82no—
512D4×D43—22no—
513D4×D43—22no—
514D4×D43—82no—
515#10621898—22no—
516#10621898—22no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172C2×D411yescharacteristic
520C2×D172C2×D411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543SD16×C43—22no—
544M16×C43—22no—
545M16×C43—22no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621884—22no—
587#10621883—22no—
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)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675#10621872—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—21no—
684C22×D43—41no—
685C22×D43—41no—
686C22×D43—42no—
687C22×D43—81no—
688C22×D43—81no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—81no—
695Q8×C43—81no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—41no—
699D4×C43—81no—
700D4×C43—81no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C2511yescharacteristic
720C22⋊D43—22no—
721C22⋊D43—22no—
722C22⋊D43—41no—
723C22⋊D43—41no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C2×Dic43—22no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745D172—22no—
746D172—21no—
747D172—21no—
748D172—41no—
749D172—42no—
750D172—81no—
751C4×D43—22no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—22no—
757C4×D43—42no—
758C4×D43—42no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43C2×#4112yes—
767C4×D432−1+412yes—
768Dic86—22no—
769Dic86—21no—
770Dic86—21no—
771Dic86—42no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61268—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—82no—
805C2×D43—162no—
806C2×D43#54712yes—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C22×#4111yescharacteristic
819C4×C43C2×2−1+411yescharacteristic
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43#54712yes—
832#3495—431no—
833#3494—431no—
834#3357—431no—
835#3357D4311yescharacteristic, complemented
836#3353—431no—
837#3353—431no—
838#3351—431no—
839#3351—431no—
840#3351—431no—
841#3351—431no—
842#3350—431no—
843#3350—431no—
844#3348—431no—
845#3348—431no—
846#3346—431no—
847#3346—431no—
848#3343—431no—
849#3343—431no—
850#3164—431no—
851#3097—431no—
852#3096—431no—
853#3095—431no—
854#3094—431no—
855#3082—431no—
856#3081—431no—
857#3057—431no—
858C2×#468—431no—
859#2949—431no—
860#2930—431no—
861#2913—431no—
862#2911—431no—
863C2×C43—41no—
864C2×C43—41no—
865C2×C43—81no—
866C2×C43C2×#54711yescharacteristic
867C2×C43#358511yescharacteristic
868C2×C43#358611yescharacteristic
869D43—22no—
870D43—41no—
871D43—41no—
872D43—81no—
873C22×SD16—431no—
874C2×#131—431no—
875C22×M16—431no—
876#556—431no—
877#556—431no—
878#555—431no—
879#555C2×D4311yescharacteristic
880#554—431no—
881#554C2×D4311yescharacteristic, complemented
882#553—431no—
883#553—431no—
884#553—431no—
885#553—431no—
886#552—431no—
887#552—431no—
888#552—431no—
889#552—431no—
890#552—861no—
891#552—861no—
892#551—861no—
893#551—861no—
894#551—861no—
895#551—861no—
896#547—431no—
897#547—431no—
898#546—861no—
899#546—861no—
900#544—431no—
901#544—431no—
902#542—861no—
903#542—861no—
904#541—861no—
905#540—861no—
906#536—431no—
907#535—431no—
908#533—861no—
909#532—861no—
910#529—861no—
911#529—861no—
912#525—431no—
913C2×C22⋊Q8—431no—
914C2×#121—431no—
915#520—431no—
916#520—431no—
917#519—431no—
918#518—431no—
919C2×#117—431no—
920C2×#117—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#501—431no—
925#500—431no—
926#500C2×D4311yescharacteristic, complemented
927#499—431no—
928#499—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485C2×D4311yescharacteristic, complemented
936#485C2×D4311yescharacteristic, complemented
937#484—431no—
938#484—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#483—431no—
943#483—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#480C2×D4311yescharacteristic
960#480C2×D4311yescharacteristic, complemented
961#479—431no—
962#479—431no—
963#479—431no—
964#479—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#477—431no—
970#477C2×D4311yescharacteristic, complemented
971#476—431no—
972#476C2×D4311yescharacteristic, complemented
973#475—431no—
974#475—431no—
975#474—431no—
976#474—431no—
977#468—431no—
978#468—431no—
979#468—431no—
980#468—431no—
981#468—431no—
982#468—431no—
983#468—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468C2×D4311yescharacteristic
988#468C2×D4311yescharacteristic, complemented
989#465—431no—
990#465—431no—
991#465—431no—
992#465—431no—
993#440—431no—
994#440—431no—
995#440—431no—
996#440—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16—431no—
1000C4×SD16C2×D4311yescharacteristic, complemented
1001#436—431no—
1002#436—431no—
1003#436—431no—
1004#436C2×D4311yescharacteristic, complemented
1005#435—431no—
1006#435—431no—
1007#435—431no—
1008#435—431no—
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#428C2×D4311yescharacteristic, complemented
1024#428C2×D4311yescharacteristic, complemented
1025#427—431no—
1026#427—431no—
1027#427—431no—
1028#427—431no—
1029#427—431no—
1030#427—431no—
1031C2×#107—431no—
1032C2×#107—431no—
1033C2×#107—431no—
1034#424—431no—
1035#419—431no—
1036#419—431no—
1037#418—431no—
1038#418—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041#408—431no—
1042#407—431no—
1043#405—431no—
1044C43#6126811yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—861no—
1047C2×#41—861no—
1048C22×Q8—431no—
1049C22×D4—431no—
1050C22×D4—861no—
1051C23×C4—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—864no—
1056C2×SD16C22×D4311yescharacteristic
1057#131—864no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C2×M16—431no—
1064C2×M16—864no—
1065C2×M16C22×D4311yescharacteristic
1066C2×M16C22×D4311yescharacteristic
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8—431no—
1070C22×C8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077C4⋊Q8C22×D4311yescharacteristic
1078#127—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#125—21no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#124—21no—
1104#124—21no—
1105#124—861no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#123—431no—
1112#123—431no—
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—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
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⋊Q8C22×D4311yescharacteristic
1148C22⋊Q8C22×D4311yescharacteristic
1149#121—21no—
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#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—431no—
1168#120—431no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—21no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203#117—21no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117C22×D4311yescharacteristic
1227#117C22×D4311yescharacteristic
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4C22×D4311yescharacteristic
1238C2×C4⋊C4C22×D4311yescharacteristic
1239C2×C22⋊C4—861no—
1240C2×C22⋊C4—861no—
1241C2×C22⋊C4—861no—
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246C2×C42—861no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#107C22×D4311yescharacteristic
1264#107C22×D4311yescharacteristic
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321C4×C8—431no—
1322C4×C8C22×D4311yescharacteristic
1323C24—431no—
1324C24—861no—
1325#41—862no—
1326#41—862no—
1327#41—3442no—
1328#41—3442no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—862no—
1337C2×Q8—862no—
1338C2×Q8C23×D4311yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—3442no—
1358C2×D4D4×D4311yescharacteristic
1359C2×D4C23×D4311yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—862no—
1370C22×C4—862no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385SD16—22no—
1386SD16—862no—
1387SD16—862no—
1388SD16—862no—
1389M16—22no—
1390M16—22no—
1391M16—862no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397C2×C8—431no—
1398C2×C8—434no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—862no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
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⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4D4×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
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⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4D4×D4311yescharacteristic
1502C22⋊C4D4×D4311yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—431no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—431no—
1523C23—431no—
1524C23—431no—
1525C23—862no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1721no—
1530C23—1721no—
1531C23—1722no—
1532C23C2×D4×D4311yescharacteristic
1533C23C2×D4×D4311yescharacteristic
1534Q8—21no—
1535Q8—21no—
1536Q8—81no—
1537Q8—81no—
1538Q8—862no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—1722no—
1544D4—21no—
1545D4—21no—
1546D4—41no—
1547D4—81no—
1548D4—81no—
1549D4—862no—
1550D4—862no—
1551D4—862no—
1552D4—861no—
1553D4—861no—
1554D4—3441no—
1555D4—3441no—
1556D4—3441no—
1557D4—3441no—
1558D4—1721no—
1559D4—1722no—
1560D4—1722no—
1561D4—1721no—
1562D4—1721no—
1563D4—1722no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—431no—
1579C2×C4—432no—
1580C2×C4—432no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—862no—
1586C2×C4—862no—
1587C2×C4—862no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—432no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8#41×D4312yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—432no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—861no—
1642C22—3442no—
1643C22—1721no—
1644C22—1721no—
1645C22—1721no—
1646C22—6882no—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—861no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4C2×#41×D4311yescharacteristic
1672C42−1+4×D4311yescharacteristic
1673C2—41no—
1674C2—41no—
1675C2—81no—
1676C2—862no—
1677C2—3441no—
1678C2—1721no—
1679C2—1721no—
1680C2#547×D4311yescharacteristic
1681C2#1914937011yescharacteristic
1682C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3357C2
socleC22×C43C23×D4
prime radical#19148329C2
hypercenter#3357D43
hypocenterC43#61268
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3357

Complements

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

NH ≅ G/Ntype
1. #19148343C2semidirect
3. #19147217C2semidirect
4. #19147178C2semidirect
5. #19147174C2semidirect
6. #19147161C2semidirect
7. #19147160C2semidirect
8. #19147157C2semidirect
9. #19147151C2semidirect
10. #19147147C2semidirect
11. #19147138C2semidirect
12. #19147110C2semidirect
13. #19147103C2semidirect
14. #19147083C2semidirect
15. #19147074C2semidirect
16. #19147039C2semidirect
17. #19147032C2semidirect
18. #19145128C2semidirect
19. #19144561C2semidirect
20. #19144546C2semidirect
21. #19144542C2semidirect
22. #19144530C2semidirect
23. #19144432C2semidirect
24. #19144421C2semidirect
25. #19144232C2semidirect
26. #468×D43C2semidirect
27. #19143449C2semidirect
28. #19143295C2semidirect
29. #19143194C2semidirect
30. #19143182C2semidirect
31. C43×#3357C2semidirect
35. #14583623C22semidirect
36. #14583620C22semidirect
38. #14583604C22semidirect
43. #14583591C22semidirect
44. #14583590C22semidirect
45. #14583589C22semidirect
46. #14583584C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583303C22semidirect
83. #14583301C22semidirect
84. #14583300C22semidirect
85. #14583243C22semidirect
86. #14583241C22semidirect
87. #14583240C22semidirect
88. #14583240C22semidirect
89. #14583238C22semidirect
90. #14583237C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583233C22semidirect
94. #14583232C22semidirect
95. #14583231C22semidirect
96. #14583230C22semidirect
97. #14583228C22semidirect
98. #14583228C22semidirect
101. #14583226C22semidirect
102. #14583224C22semidirect
105. #14583221C22semidirect
106. #14583220C22semidirect
108. #14583217C22semidirect
109. #14583216C22semidirect
111. #14583214C22semidirect
113. #14583208C22semidirect
114. #14583207C22semidirect
115. #14583206C22semidirect
116. #14583205C22semidirect
117. #14583201C22semidirect
118. #14583200C22semidirect
119. #14583199C22semidirect
120. #14583198C22semidirect
121. #14583193C22semidirect
122. #14583188C22semidirect
123. #14583182C22semidirect
124. #14583181C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
130. #14583146C22semidirect
132. #14583145C22semidirect
136. #14583142C22semidirect
137. #14583131C22semidirect
138. #14583130C22semidirect
139. #14583127C22semidirect
140. #14583126C22semidirect
141. #14583002C22semidirect
142. #14582999C22semidirect
143. #14582997C22semidirect
144. #14582996C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
148. #14582978C22semidirect
149. #14582975C22semidirect
150. #14582975C22semidirect
151. #14582973C22semidirect
152. #14582971C22semidirect
153. #14582969C22semidirect
154. #14582967C22semidirect
155. #14582942C22semidirect
156. #14582941C22semidirect
157. #14582941C22semidirect
161. #14582940C22semidirect
162. #14582940C22semidirect
163. #14582940C22semidirect
164. #14582939C22semidirect
166. #14582938C22semidirect
167. #14582938C22semidirect
168. #14582938C22semidirect
171. #14582935C22semidirect
174. #14582934C22semidirect
175. C2×#13063258C22semidirect
177. #107×D43C22semidirect
189. C43×#554C22semidirect
190. C43×#500C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
194. C43×#480C22semidirect
195. C43×#477C22semidirect
196. C43×#476C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
678. C8×D43#41semidirect
835. #3357D43semidirect
881. #554C2×D43semidirect
926. #500C2×D43semidirect
935. #485C2×D43semidirect
936. #485C2×D43semidirect
960. #480C2×D43semidirect
970. #477C2×D43semidirect
972. #476C2×D43semidirect
988. #468C2×D43semidirect
1000. C4×SD16C2×D43semidirect
1004. #436C2×D43semidirect
1023. #428C2×D43semidirect
1024. #428C2×D43semidirect
1044. C43#61268semidirect

Maximal subgroups

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

subgroupindex
#191483432
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