Finite Group Databasebeta

← #25975548

Subgroups — #25975548

Order 11008.

1884 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148326C211yesmaximal, characteristic, complemented
2#19148319C211yesmaximal, characteristic, complemented
3#19147100C211yesmaximal, characteristic, complemented
4#19147096C211yesmaximal, characteristic, complemented
5#19147094C211yesmaximal, characteristic, complemented
6#19147090C211yesmaximal, characteristic, complemented
7#19147071C211yesmaximal, characteristic, complemented
8#19147067C211yesmaximal, characteristic, complemented
9#19147061C211yesmaximal, characteristic, complemented
10#19147016C211yesmaximal, characteristic, complemented
11#19147012C211yesmaximal, characteristic, complemented
12#19146995C211yesmaximal, characteristic, complemented
13#19146995C211yesmaximal, characteristic, complemented
14#19146994C211yesmaximal, characteristic, complemented
15#19146991C211yesmaximal, characteristic, complemented
16#19146938C211yesmaximal, characteristic, complemented
17#19146937C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19144552C211yesmaximal, characteristic, complemented
20#19144548C211yesmaximal, characteristic, complemented
21#19144532C211yesmaximal, characteristic, complemented
22#19144530C211yesmaximal, characteristic, complemented
23#19144425C211yesmaximal, characteristic, complemented
24#19144421C211yesmaximal, characteristic, complemented
25#19144241C211yesmaximal, characteristic, complemented
26#466×D43C211yesmaximal, characteristic, complemented
27#19143444C211yesmaximal, characteristic, complemented
28#19143286C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30C2×#14582934C211yesmaximal, characteristic, complemented
31C43×#3345C211yesmaximal, characteristic, complemented
32C2×D8×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583615C2211yescharacteristic, complemented
36#14583614C2211yescharacteristic, complemented
37#14583613C2211yescharacteristic, complemented
38#14583612C2211yescharacteristic, complemented
39#14583602C2211yescharacteristic, complemented
40#14583601C2211yescharacteristic, complemented
41#14583601C2211yescharacteristic, complemented
42#14583599C2211yescharacteristic, complemented
43#14583597C2211yescharacteristic, complemented
44#14583597C2211yescharacteristic, complemented
45#14583595C2211yescharacteristic, complemented
46#14583577—21no—
47#14583576—21no—
48#14583574—21no—
49#14583572—21no—
50#14583553C2211yescharacteristic, complemented
51#14583550C2211yescharacteristic, complemented
52#14583549C2211yescharacteristic, complemented
53#14583544—21no—
54#14583541—21no—
55#14583538—21no—
56#14583537—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583519—21no—
60#14583515—21no—
61#14583501—21no—
62#14583501—21no—
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583445—21no—
66#14583444—21no—
67#14583429—21no—
68#14583426—21no—
69#14583408C2211yescharacteristic
70#121×D43C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583371C2211yescharacteristic
75#14583371C2211yescharacteristic
76C2×#13063283C2211yescharacteristic
77C2×#13063283C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583226C2211yescharacteristic, complemented
86#14583226C2211yescharacteristic, complemented
87#14583225C2211yescharacteristic, complemented
88#14583225C2211yescharacteristic, complemented
89#14583225C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583224C2211yescharacteristic, complemented
92#14583223C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic, complemented
94#14583222C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583221C2211yescharacteristic, complemented
99#14583220C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic, complemented
101#14583218C2211yescharacteristic, complemented
102#14583218C2211yescharacteristic, complemented
103#14583217C2211yescharacteristic, complemented
104#14583216C2211yescharacteristic, complemented
105#14583215C2211yescharacteristic, complemented
106#14583214C2211yescharacteristic, complemented
107#14583213C2211yescharacteristic, complemented
108#14583212C2211yescharacteristic, complemented
109#14583212C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583210C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583201C2211yescharacteristic, complemented
114#14583201C2211yescharacteristic, complemented
115#14583200C2211yescharacteristic, complemented
116#14583199C2211yescharacteristic, complemented
117#14583198C2211yescharacteristic, complemented
118#14583198C2211yescharacteristic, complemented
119#14583196C2211yescharacteristic, complemented
120#14583190C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583179C2211yescharacteristic, complemented
124#14583178C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583153C2211yescharacteristic, complemented
128#14583152C2211yescharacteristic, complemented
129#14583149C2211yescharacteristic, complemented
130#14583136C2211yescharacteristic
131#14583135C2211yescharacteristic
132#14583134C2211yescharacteristic
133#14583134C2211yescharacteristic
134#14583134C2211yescharacteristic, complemented
135#14583134C2211yescharacteristic, complemented
136#14583133C2211yescharacteristic
137#14583133C2211yescharacteristic
138#14583133C2211yescharacteristic, complemented
139#14583133C2211yescharacteristic, complemented
140#14583132C2211yescharacteristic
141#14583012C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic, complemented
144C4×#10621882C2211yescharacteristic, complemented
145C4×#10621882C2211yescharacteristic, complemented
146#14582979C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582972C2211yescharacteristic, complemented
149#14582970C2211yescharacteristic, complemented
150#14582968C2211yescharacteristic, complemented
151D4×C43⋊C8C2211yescharacteristic, complemented
152#14582964C2211yescharacteristic, complemented
153(C22⋊D43)⋊C8C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582941C2211yescharacteristic, complemented
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic
160#14582938C2211yescharacteristic
161#14582938C2211yescharacteristic, complemented
162#14582935C2211yescharacteristic, complemented
163#14582934C2211yescharacteristic
164#14582934C2211yescharacteristic
165#14582934C2211yescharacteristic
166#14582934C2211yescharacteristic
167#14582934C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic, complemented
169#14582934C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic, complemented
171#14582934C2211yescharacteristic, complemented
172C2×#13063258C2211yescharacteristic, complemented
173C2×#13063258C2211yescharacteristic, complemented
174C2×#13063258C2211yescharacteristic, complemented
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic, complemented
177C2×#13063257C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#553C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×D4×D43—21no—
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C2×D344C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214C2×#10621882C2311yescharacteristic
215D8×D43—24no—
216#13063333—24no—
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C22×C43⋊C8C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C2×C8×D43—24no—
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323—21no—
233#13063321—21no—
234#13063321—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063314—21no—
248#13063314—21no—
249#13063313—21no—
250#13063312—21no—
251#13063311—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310D411yescharacteristic
262#13063309—21no—
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063308—21no—
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063306—21no—
272#13063305—21no—
273#13063305—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303D411yescharacteristic
278#13063302—21no—
279#13063302D411yescharacteristic
280#13063301—21no—
281#13063300—21no—
282#13063300—21no—
283#13063300C2311yescharacteristic
284#13063300C2311yescharacteristic
285#13063300C2311yescharacteristic
286#13063300C2311yescharacteristic
287#13063299—21no—
288#13063299—21no—
289#13063299—21no—
290#13063299C2311yescharacteristic
291#13063299C2311yescharacteristic
292#13063299C2311yescharacteristic
293#13063299C2311yescharacteristic
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298D411yescharacteristic
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297D411yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063295D411yescharacteristic
313#13063293—21no—
314#13063293—21no—
315#13063293D411yescharacteristic
316C4×Dic86—21no—
317#13063290—21no—
318C4×D172—21no—
319C4×D172C2311yescharacteristic
320C4×D172C2311yescharacteristic
321C4×D172C2311yescharacteristic
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43C2311yescharacteristic
325D4×Dic43C2311yescharacteristic
326#13063287—21no—
327#13063287—21no—
328#13063287C2311yescharacteristic
329#13063287C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43C2311yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344#13063284—21no—
345#13063284C2311yescharacteristic
346#13063283—21no—
347#13063283—21no—
348#13063283—21no—
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063282—21no—
362#13063282C2311yescharacteristic
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×C4⋊Dic43C2311yescharacteristic
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C2×(C2×D43)⋊C4—21no—
372C2×(C2×D43)⋊C4—21no—
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—
380C2×C4×Dic43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063257C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
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#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×D8×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43—21no—
449#121×C43—21no—
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×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—
483C23×D43C2×D411yescharacteristic
484#41×C43—82no—
485C2×Q8×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2×D411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
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⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C2×C22⋊D43C2×D411yescharacteristic
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43C2×D411yescharacteristic
520#10621900—82no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—22no—
524D4×D43—22no—
525D4×D43—22no—
526D4×D43—82no—
527D4×D43—82no—
528#10621898—22no—
529#10621898—22no—
530#10621898—82no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172C2×D411yescharacteristic
536C2×D172C2×D411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×C4×D43—22no—
540C2×C4×D43—22no—
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43C2×D411yescharacteristic
550C2×C4×D43C2×D411yescharacteristic
551C2×C4×D43C2411yescharacteristic
552C2×C4×D43C2411yescharacteristic
553C2×C4×D43C2411yescharacteristic
554C2×Dic86—21no—
555C2×Dic86—21no—
556C2×Dic86—21no—
557C2×Dic86C2×D411yescharacteristic
558D8×C43—22no—
559M16×C43—22no—
560C2×C8×C43—22no—
561C2×C8×C43C2411yescharacteristic
562C2×C8×C43C2411yescharacteristic
563C2×C8×C43C2411yescharacteristic
564C2×C8×C43C2411yescharacteristic
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43C2×D411yescharacteristic
586C22⋊C4×C43C2×D411yescharacteristic
587C42×C43—21no—
588C42×C43C2411yescharacteristic
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598#10621882—22no—
599#10621882—22no—
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)⋊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)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43C2411yescharacteristic
667C2×C43⋊C8—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673D344—22no—
674#10621872—22no—
675#10621872—22no—
676#10621872—22no—
677C8×D43—22no—
678C8×D43—22no—
679C8×D43—22no—
680C8×D43—22no—
681C8×D43#4114yescomplemented
682C23×C43—21no—
683C23×C43—21no—
684C23×C43C22×D411yescharacteristic
685C23×C43C22×D411yescharacteristic
686C22×D43—22no—
687C22×D43—22no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—41no—
691C22×D43—42no—
692C22×D43—42no—
693C22×D43—81no—
694C22×D43—81no—
695C22×D43—81no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699C22×D43C22×D411yescharacteristic
700Q8×C43—81no—
701D4×C43—22no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—42no—
707D4×C43—42no—
708D4×C43—81no—
709D4×C43—81no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—42no—
721C2×C4×C43—81no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—22no—
731C22⋊D43—22no—
732C22⋊D43—22no—
733C22⋊D43—41no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—22no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—42no—
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
761D172—22no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—41no—
767D172—81no—
768D172—81no—
769D172—81no—
770D172—81no—
771C4×D43—22no—
772C4×D43—21no—
773C4×D43—21no—
774C4×D43—21no—
775C4×D43—21no—
776C4×D43—22no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785C4×D43C2×#4112yes—
786C4×D432−1+412yes—
787Dic86—22no—
788Dic86—81no—
789Dic86—81no—
790Dic86—81no—
791C8×C43—21no—
792C8×C43—21no—
793C8×C43—21no—
794C8×C43C2×#4112yes—
795C43⋊C8—21no—
796C43⋊C8—21no—
797C43⋊C8—21no—
798C43⋊C8C2×#4112yes—
799#61262—431nomaximal, Sylow
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—21no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43#57612yes—
812C22×C43C23×D411yescharacteristic
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—44no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—162no—
829C2×D43—162no—
830C2×D43#54712yes—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—21no—
834C4×C43—21no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43C22×#4111yescharacteristic
842C4×C43C2×2−1+411yescharacteristic
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43—41no—
853Dic43#54712yes—
854#3494—431no—
855#3494—431no—
856#3347—431no—
857#3347—431no—
858#3347—431no—
859#3347—431no—
860#3345—431no—
861#3345—431no—
862#3345—431no—
863#3345D4311yescharacteristic, complemented
864#3341—431no—
865#3341—431no—
866#3339—431no—
867#3339—431no—
868#3339—431no—
869#3339—431no—
870#3334—431no—
871#3334—431no—
872#3164—431no—
873#3096—431no—
874#3096—431no—
875#3094—431no—
876#3094—431no—
877#3081—431no—
878#3081—431no—
879#3058—431no—
880C2×#466—431no—
881#2948—431no—
882#2929—431no—
883#2913—431no—
884C2×#427—431no—
885C2×C43—22no—
886C2×C43—41no—
887C2×C43—81no—
888C2×C43—81no—
889C2×C43C2×#54711yescharacteristic
890C2×C43C2×#57611yescharacteristic
891C2×C43#358411yescharacteristic
892D43—22no—
893D43—41no—
894D43—41no—
895D43—81no—
896D43—81no—
897C22×D8—431no—
898C2×#131—431no—
899C23×C8—431no—
900#555—431no—
901#555—431no—
902#555—431no—
903#555—431no—
904#553—431no—
905#553—431no—
906#553—431no—
907#553—431no—
908#553—431no—
909#553—431no—
910#553—431no—
911#553C2×D4311yescharacteristic, complemented
912#551—861no—
913#551—861no—
914#551—861no—
915#551—861no—
916#547—431no—
917#547—431no—
918#547—431no—
919#547C2×D4311yescharacteristic, complemented
920#546—861no—
921#546—861no—
922#546—861no—
923#546—861no—
924#544—431no—
925#544—431no—
926#542—861no—
927#542—861no—
928#540—861no—
929#540—861no—
930#535—431no—
931#535—431no—
932#532—861no—
933#532—861no—
934#529—861no—
935#529—861no—
936#525—431no—
937C2×#121—431no—
938C2×#121—431no—
939#520—431no—
940#520—431no—
941#518—431no—
942#518—431no—
943C2×#117—431no—
944C2×#117—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501C2×D4311yescharacteristic, complemented
949#500—431no—
950#500—431no—
951#499—431no—
952#499—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482—431no—
958#482—431no—
959#482—431no—
960#482—431no—
961#482—431no—
962#482—431no—
963#482—431no—
964#482—431no—
965#482—431no—
966#482—431no—
967#482—431no—
968#482C2×D4311yescharacteristic, complemented
969#481—431no—
970#481—431no—
971#481—431no—
972#481—431no—
973#481—431no—
974#481—431no—
975#481C2×D4311yescharacteristic, complemented
976#481C2×D4311yescharacteristic, complemented
977#480—431no—
978#480—431no—
979#480—431no—
980#480—431no—
981#480—431no—
982#480—431no—
983#480—431no—
984#480C2×D4311yescharacteristic, complemented
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478—431no—
991#478—431no—
992#478C2×D4311yescharacteristic, complemented
993#476—431no—
994#476—431no—
995#476—431no—
996#476C2×D4311yescharacteristic, complemented
997#474—431no—
998#474—431no—
999#474—431no—
1000#474—431no—
1001#469—431no—
1002#469—431no—
1003#469—431no—
1004#469C2×D4311yescharacteristic, complemented
1005#466—431no—
1006#466—431no—
1007#466—431no—
1008#466—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466—431no—
1013#466—431no—
1014#466—431no—
1015#466—431no—
1016#466C2×D4311yescharacteristic
1017#442—431no—
1018#442—431no—
1019#442—431no—
1020#442C2×D4311yescharacteristic, complemented
1021C4×D8—431no—
1022C4×D8—431no—
1023C4×D8—431no—
1024C4×D8—431no—
1025#435—431no—
1026#435—431no—
1027#435—431no—
1028#435C2×D4311yescharacteristic, complemented
1029C8×D4—431no—
1030C8×D4—431no—
1031C8×D4—431no—
1032C8×D4—431no—
1033#428—431no—
1034#428—431no—
1035#428—431no—
1036#428—431no—
1037#428—431no—
1038#428—431no—
1039#428—431no—
1040#428C2×D4311yescharacteristic, complemented
1041#427—431no—
1042#427—431no—
1043#427—431no—
1044#427—431no—
1045#427—431no—
1046#427—431no—
1047#427—431no—
1048#427—431no—
1049#427—431no—
1050#427—431no—
1051C2×#107—431no—
1052C2×#107—431no—
1053C2×#107—431no—
1054C2×#107—431no—
1055C2×#107—431no—
1056C2×#106—431no—
1057C2×#106C2×D4311yescharacteristic, complemented
1058#424—431no—
1059#418—431no—
1060#418—431no—
1061#418—431no—
1062#418—431no—
1063C2×#102—431no—
1064C2×#102—431no—
1065#408—431no—
1066#407—431no—
1067#405—431no—
1068C43#6126211yescharacteristic, complemented, Sylow
1069C2×#41—21no—
1070C2×#41—431no—
1071C2×#41—861no—
1072C2×#41—861no—
1073C2×#41—861no—
1074C22×D4—431no—
1075C22×D4—431no—
1076C22×D4—861no—
1077C22×D4—861no—
1078C23×C4—431no—
1079C2×D8—431no—
1080C2×D8—431no—
1081C2×D8—431no—
1082C2×D8—864no—
1083C2×D8C22×D4311yescharacteristic
1084#131—864no—
1085C2×M16—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16C22×D4311yescharacteristic
1089C22×C8—431no—
1090C22×C8—431no—
1091C22×C8—431no—
1092C22×C8—431no—
1093C22×C8—431no—
1094C22×C8—431no—
1095C22×C8—431no—
1096C22×C8—864no—
1097C22×C8C22×D4311yescharacteristic
1098C4⋊Q8—431no—
1099C4⋊Q8—431no—
1100C4⋊Q8—431no—
1101C4⋊Q8—861no—
1102C4⋊Q8—861no—
1103C4⋊Q8C22×D4311yescharacteristic
1104#127—861no—
1105#127—861no—
1106#126—21no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#125—431no—
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125C22×D4311yescharacteristic
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—431no—
1134#123—431no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148C22⋊Q8—21no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158#121—21no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—431no—
1169#121—431no—
1170#121—431no—
1171#121—431no—
1172#121—431no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#121C22×D4311yescharacteristic
1191#121C22×D4311yescharacteristic
1192#120—431no—
1193#120—431no—
1194#120—861no—
1195#120—861no—
1196#120—861no—
1197#120—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×D4—21no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4C22×D4311yescharacteristic
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117C22×D4311yescharacteristic
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C22⋊C4—861no—
1266C2×C22⋊C4—861no—
1267C2×C22⋊C4—861no—
1268C2×C22⋊C4—861no—
1269C2×C42—861no—
1270C2×C42—861no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107—431no—
1276#107—431no—
1277#107—431no—
1278#107—431no—
1279#107—431no—
1280#107—431no—
1281#107—431no—
1282#107—431no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107—431no—
1288#107C22×D4311yescharacteristic
1289#107C22×D4311yescharacteristic
1290#107C22×D4311yescharacteristic
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106C22×D4311yescharacteristic
1302#106C22×D4311yescharacteristic
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#102C22×D4311yescharacteristic
1332#102C22×D4311yescharacteristic
1333#102C22×D4311yescharacteristic
1334#102C22×D4311yescharacteristic
1335C22⋊C8—431no—
1336C22⋊C8—431no—
1337C22⋊C8—431no—
1338C22⋊C8—431no—
1339C22⋊C8—431no—
1340C22⋊C8—431no—
1341C22⋊C8C22×D4311yescharacteristic
1342C22⋊C8C22×D4311yescharacteristic
1343#97—431no—
1344#97C22×D4311yescharacteristic
1345C4×C8—431no—
1346C4×C8—431no—
1347C24—431no—
1348C24—861no—
1349C24—861no—
1350#41—82no—
1351#41—862no—
1352#41—862no—
1353#41—3442no—
1354#41—3442no—
1355#41—3442no—
1356C2×Q8—21no—
1357C2×Q8—431no—
1358C2×Q8—861no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—862no—
1380C2×D4—862no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—3442no—
1392C2×D4—3442no—
1393C2×D4D4×D4311yescharacteristic
1394C2×D4C23×D4311yescharacteristic
1395C2×D4C23×D4311yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—861no—
1413C22×C4—861no—
1414C22×C4—861no—
1415C22×C4—861no—
1416C22×C4—861no—
1417C22×C4—861no—
1418C22×C4—861no—
1419C22×C4—861no—
1420C22×C4—861no—
1421C22×C4—861no—
1422C22×C4C23×D4311yescharacteristic
1423C22×C4C23×D4311yescharacteristic
1424D8—22no—
1425D8—862no—
1426D8—862no—
1427D8—862no—
1428M16—22no—
1429M16—862no—
1430M16—862no—
1431M16—862no—
1432C2×C8—22no—
1433C2×C8—431no—
1434C2×C8—434no—
1435C2×C8—431no—
1436C2×C8—431no—
1437C2×C8—431no—
1438C2×C8—862no—
1439C2×C8—862no—
1440C2×C8—862no—
1441C2×C8—862no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8C23×D4311yescharacteristic
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
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⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4D4×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C4⋊C4C23×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
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⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4D4×D4311yescharacteristic
1533C22⋊C4D4×D4311yescharacteristic
1534C42—21no—
1535C42—431no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42—861no—
1545C42—861no—
1546C42—861no—
1547C42C23×D4311yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—431no—
1551C23—431no—
1552C23—431no—
1553C23—862no—
1554C23—862no—
1555C23—861no—
1556C23—861no—
1557C23—3441no—
1558C23—3441no—
1559C23—3441no—
1560C23—3441no—
1561C23—1721no—
1562C23—1722no—
1563C23—1722no—
1564C23C2×D4×D4311yescharacteristic
1565C23C2×D4×D4311yescharacteristic
1566Q8—81no—
1567Q8—862no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—3441no—
1571D4—22no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—81no—
1580D4—862no—
1581D4—862no—
1582D4—862no—
1583D4—862no—
1584D4—861no—
1585D4—861no—
1586D4—861no—
1587D4—861no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—3441no—
1592D4—3441no—
1593D4—3441no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—1721no—
1599D4—1722no—
1600D4—1722no—
1601D4—1721no—
1602D4—1722no—
1603D4—1722no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—431no—
1620C2×C4—432no—
1621C2×C4—432no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—862no—
1627C2×C4—862no—
1628C2×C4—862no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—3441no—
1646C2×C4—3441no—
1647C2×C4—3441no—
1648C2×C4—3441no—
1649C2×C4—3441no—
1650C2×C4—3441no—
1651C2×C4—1722no—
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C24×D4311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—432no—
1661C8—861no—
1662C8—861no—
1663C8—861no—
1664C8#41×D4312yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—432no—
1677C22—861no—
1678C22—861no—
1679C22—861no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—861no—
1684C22—861no—
1685C22—1724no—
1686C22—1721no—
1687C22—1721no—
1688C22—1721no—
1689C22—1721no—
1690C22—1721no—
1691C22—1721no—
1692C22—6882no—
1693C22—6882no—
1694C22#1458370312yes—
1695C22C22×D4×D4311yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—432no—
1707C4—861no—
1708C4—861no—
1709C4—861no—
1710C4—861no—
1711C4—1721no—
1712C4—1721no—
1713C4—1721no—
1714C4—1721no—
1715C4—1721no—
1716C4—1721no—
1717C4C2×#41×D4311yescharacteristic
1718C42−1+4×D4311yescharacteristic
1719C2—22no—
1720C2—41no—
1721C2—81no—
1722C2—81no—
1723C2—862no—
1724C2—3441no—
1725C2—3441no—
1726C2—1721no—
1727C2—1721no—
1728C2#547×D4311yescharacteristic
1729C2C2×#1458370311yescharacteristic
1730C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3345C2
socleC22×C43C23×D4
hypercenter#3345D43
hypocenterC43#61262
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #19148326C2semidirect
2. #19148319C2semidirect
3. #19147100C2semidirect
4. #19147096C2semidirect
5. #19147094C2semidirect
6. #19147090C2semidirect
7. #19147071C2semidirect
8. #19147067C2semidirect
9. #19147061C2semidirect
10. #19147016C2semidirect
11. #19147012C2semidirect
12. #19146995C2semidirect
13. #19146995C2semidirect
14. #19146994C2semidirect
15. #19146991C2semidirect
16. #19146938C2semidirect
17. #19146937C2semidirect
18. #19145130C2semidirect
19. #19144552C2semidirect
20. #19144548C2semidirect
21. #19144532C2semidirect
22. #19144530C2semidirect
23. #19144425C2semidirect
24. #19144421C2semidirect
25. #19144241C2semidirect
26. #466×D43C2semidirect
27. #19143444C2semidirect
28. #19143286C2semidirect
29. #19143194C2semidirect
30. C2×#14582934C2semidirect
31. C43×#3345C2semidirect
35. #14583615C22semidirect
36. #14583614C22semidirect
37. #14583613C22semidirect
38. #14583612C22semidirect
39. #14583602C22semidirect
40. #14583601C22semidirect
41. #14583601C22semidirect
42. #14583599C22semidirect
43. #14583597C22semidirect
44. #14583597C22semidirect
45. #14583595C22semidirect
50. #14583553C22semidirect
51. #14583550C22semidirect
52. #14583549C22semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583299C22semidirect
84. #14583298C22semidirect
85. #14583226C22semidirect
86. #14583226C22semidirect
87. #14583225C22semidirect
88. #14583225C22semidirect
89. #14583225C22semidirect
90. #14583225C22semidirect
91. #14583224C22semidirect
92. #14583223C22semidirect
93. #14583222C22semidirect
94. #14583222C22semidirect
95. #14583222C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583221C22semidirect
99. #14583220C22semidirect
100. #14583219C22semidirect
101. #14583218C22semidirect
102. #14583218C22semidirect
103. #14583217C22semidirect
104. #14583216C22semidirect
105. #14583215C22semidirect
106. #14583214C22semidirect
107. #14583213C22semidirect
108. #14583212C22semidirect
109. #14583212C22semidirect
110. #14583211C22semidirect
111. #14583210C22semidirect
112. #14583210C22semidirect
113. #14583201C22semidirect
114. #14583201C22semidirect
115. #14583200C22semidirect
116. #14583199C22semidirect
117. #14583198C22semidirect
118. #14583198C22semidirect
119. #14583196C22semidirect
120. #14583190C22semidirect
121. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583179C22semidirect
124. #14583178C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
127. #14583153C22semidirect
128. #14583152C22semidirect
129. #14583149C22semidirect
134. #14583134C22semidirect
135. #14583134C22semidirect
138. #14583133C22semidirect
139. #14583133C22semidirect
141. #14583012C22semidirect
142. #14583011C22semidirect
143. #14583010C22semidirect
144. C4×#10621882C22semidirect
145. C4×#10621882C22semidirect
146. #14582979C22semidirect
147. #14582979C22semidirect
148. #14582972C22semidirect
149. #14582970C22semidirect
150. #14582968C22semidirect
151. D4×C43⋊C8C22semidirect
152. #14582964C22semidirect
153. (C22⋊D43)⋊C8C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582941C22semidirect
158. #14582940C22semidirect
161. #14582938C22semidirect
162. #14582935C22semidirect
167. #14582934C22semidirect
168. #14582934C22semidirect
169. #14582934C22semidirect
170. #14582934C22semidirect
171. #14582934C22semidirect
172. C2×#13063258C22semidirect
173. C2×#13063258C22semidirect
174. C2×#13063258C22semidirect
176. #107×D43C22semidirect
177. C2×#13063257C22semidirect
188. C43×#553C22semidirect
189. C43×#547C22semidirect
190. C43×#501C22semidirect
191. C43×#482C22semidirect
192. C43×#481C22semidirect
193. C43×#481C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#476C22semidirect
197. C43×#469C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C2×#106×C43C22semidirect
681. C8×D43#41semidirect
863. #3345D43semidirect
911. #553C2×D43semidirect
919. #547C2×D43semidirect
948. #501C2×D43semidirect
968. #482C2×D43semidirect
975. #481C2×D43semidirect
976. #481C2×D43semidirect
984. #480C2×D43semidirect
992. #478C2×D43semidirect
996. #476C2×D43semidirect
1004. #469C2×D43semidirect
1020. #442C2×D43semidirect
1028. #435C2×D43semidirect
1040. #428C2×D43semidirect
1057. C2×#106C2×D43semidirect
1068. C43#61262semidirect

Maximal subgroups

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

subgroupindex
#191483262
#191483192
#191471002
#191470962
#191470942
#191470902
#191470712
#191470672
#191470612
#191470162
#191470122
#191469952
#191469942
#191469912
#191469382
#191469372
#191451302
#191445522
#191445482
#191445322
#191445302
#191444252
#191444212
#191442412
#466×D432
#191434442
#191432862
#191431942
C2×#145829342
C43×#33452
#6126243