Finite Group Databasebeta

← #25975628

Subgroups — #25975628

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148313C211yesmaximal, characteristic, complemented
2#19148295C211yesmaximal, characteristic, complemented
3#19147212C211yesmaximal, characteristic, complemented
4#19147205C211yesmaximal, characteristic, complemented
5#19147199C211yesmaximal, characteristic, complemented
6#19147197C211yesmaximal, characteristic, complemented
7#19147191C211yesmaximal, characteristic, complemented
8#19147186C211yesmaximal, characteristic, complemented
9#19147165C211yesmaximal, characteristic, complemented
10#19147138C211yesmaximal, characteristic, complemented
11#19147137C211yesmaximal, characteristic, complemented
12#19147104C211yesmaximal, characteristic, complemented
13#19147103C211yesmaximal, characteristic, complemented
14#19147087C211yesmaximal, characteristic, complemented
15#19147084C211yesmaximal, characteristic, complemented
16#19147038C211yesmaximal, characteristic, complemented
17#19147035C211yesmaximal, characteristic, complemented
18#19145124C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#19144574C211yesmaximal, characteristic, complemented
21#19144527C211yesmaximal, characteristic, complemented
22#19144522C211yesmaximal, characteristic, complemented
23#19144460C211yesmaximal, characteristic, complemented
24#19144449C211yesmaximal, characteristic, complemented
25#19144259C211yesmaximal, characteristic, complemented
26#19144206C211yesmaximal, characteristic, complemented
27#19143470C211yesmaximal, characteristic, complemented
28#19143295C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3352C211yesmaximal, characteristic, complemented
32C2×#13063348C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583620C2211yescharacteristic
37#14583616—21no—
38#14583614C2211yescharacteristic
39#14583612—21no—
40#14583612C2211yescharacteristic
41#14583609C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583605—21no—
44#14583602C2211yescharacteristic
45#14583602C2211yescharacteristic
46#14583600—21no—
47#14583597C2211yescharacteristic
48#14583594—21no—
49#14583593C2211yescharacteristic
50#14583591C2211yescharacteristic
51#14583583C2211yescharacteristic
52#14583582—21no—
53#14583581—21no—
54#14583553C2211yescharacteristic
55#14583550C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583497—21no—
60#14583490—21no—
61#14583488—21no—
62#14583485—21no—
63#14583479C2211yescharacteristic
64#14583479C2211yescharacteristic
65#14583434—21no—
66#14583427—21no—
67#14583412C2211yescharacteristic
68#14583412C2211yescharacteristic
69#14583411—21no—
70#14583408C2211yescharacteristic
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583379C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583307C2211yescharacteristic, complemented
81#14583307C2211yescharacteristic, complemented
82#14583299C2211yescharacteristic, complemented
83#14583297C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583239C2211yescharacteristic
86#14583238C2211yescharacteristic
87#14583238C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic
90#14583237C2211yescharacteristic, complemented
91#14583233C2211yescharacteristic, complemented
92#14583232C2211yescharacteristic
93#14583228C2211yescharacteristic
94#14583228C2211yescharacteristic
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic, complemented
97#14583226C2211yescharacteristic
98#14583226C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic, complemented
100#14583225C2211yescharacteristic
101#14583224C2211yescharacteristic
102#14583224C2211yescharacteristic, complemented
103#14583223C2211yescharacteristic
104#14583223C2211yescharacteristic, complemented
105#14583219C2211yescharacteristic, complemented
106#14583218C2211yescharacteristic
107#14583218C2211yescharacteristic, complemented
108#14583217C2211yescharacteristic
109#14583214C2211yescharacteristic
110#14583214C2211yescharacteristic
111#14583214C2211yescharacteristic, complemented
112#14583212C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583204C2211yescharacteristic, complemented
115#14583202C2211yescharacteristic, complemented
116#14583198C2211yescharacteristic, complemented
117#14583196C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583194C2211yescharacteristic, complemented
120#14583192C2211yescharacteristic, complemented
121#14583190C2211yescharacteristic, complemented
122#14583188C2211yescharacteristic, complemented
123#14583184C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583180C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583154C2211yescharacteristic
128#14583154C2211yescharacteristic, complemented
129#14583153C2211yescharacteristic
130#14583153C2211yescharacteristic, complemented
131#14583152C2211yescharacteristic
132#14583152C2211yescharacteristic, complemented
133#14583148C2211yescharacteristic
134#14583148C2211yescharacteristic
135#14583147C2211yescharacteristic
136#14583147C2211yescharacteristic
137#14583131C2211yescharacteristic, complemented
138#14583131C2211yescharacteristic, complemented
139#14583130C2211yescharacteristic, complemented
140#14583130C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14583002C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582997C2211yescharacteristic, complemented
145Q16×Dic43C2211yescharacteristic, complemented
146C4×D344C2211yescharacteristic, complemented
147#14582981C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic
149#14582975C2211yescharacteristic
150#14582975C2211yescharacteristic
151#14582973C2211yescharacteristic
152#14582971C2211yescharacteristic
153#14582969C2211yescharacteristic
154#14582967C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582941C2211yescharacteristic
157#14582941C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582940C2211yescharacteristic
163#14582940C2211yescharacteristic, complemented
164#14582939C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic, complemented
169#14582935C2211yescharacteristic, complemented
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic, complemented
172C2×#13063258C2211yescharacteristic, complemented
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582894C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#552C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic, complemented
193C43×#484C2211yescharacteristic
194C43×#484C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#479C2211yescharacteristic, complemented
197C43×#470C2211yescharacteristic
198C43×#470C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#428C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C22×C4×D43—21no—
209C22×C4×D43C2311yescharacteristic
210#13063348—24no—
211C2×#10621884C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×D344C2311yescharacteristic
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#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063324—21no—
229#13063324—21no—
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063316—21no—
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063313—21no—
251#13063313—21no—
252#13063311—21no—
253#13063311—21no—
254#13063311—21no—
255#13063311—21no—
256#13063310—21no—
257#13063310—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310D411yescharacteristic
263#13063309—21no—
264#13063309—21no—
265#13063309—21no—
266#13063308—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307D411yescharacteristic
270#13063305—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063303—21no—
275#13063303—21no—
276#13063303—21no—
277#13063303—21no—
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063303D411yescharacteristic
282#13063302—21no—
283#13063302D411yescharacteristic
284#13063301C2311yescharacteristic
285#13063301C2311yescharacteristic
286#13063301C2311yescharacteristic
287#13063301C2311yescharacteristic
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300C2311yescharacteristic
293#13063300C2311yescharacteristic
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063299—21no—
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063299C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298D411yescharacteristic
308#13063297D411yescharacteristic
309#13063296—21no—
310#13063295—21no—
311#13063295—21no—
312#13063295D411yescharacteristic
313#13063293D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318#13063290—21no—
319#13063290—21no—
320C4×D172—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327C4×D172C2311yescharacteristic
328#13063287—21no—
329#13063287—21no—
330#13063287—21no—
331#13063287—21no—
332#13063287—21no—
333#13063287—21no—
334#13063287—21no—
335#13063287C2311yescharacteristic
336#13063287C2311yescharacteristic
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284C2311yescharacteristic
348#13063284C2311yescharacteristic
349#13063283—21no—
350#13063283—21no—
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282—21no—
360#13063282—21no—
361#13063282C2311yescharacteristic
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C22⋊C4×D43—21no—
380C42×D43—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#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
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#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
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#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2×D411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C22×Dic43—21no—
498C22×Dic43—21no—
499C22×Dic43C2×D411yescharacteristic
500#10621902—22no—
501#10621902—22no—
502#10621902—22no—
503#10621902—22no—
504#10621900—82no—
505#10621898—22no—
506#10621898—22no—
507#10621898—82no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172C2×D411yescharacteristic
515C2×D172C2×D411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×D172C2411yescharacteristic
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—82no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86C2×D411yescharacteristic
545Q16×C43—22no—
546M16×C43—22no—
547M16×C43—22no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43C2×D411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43C2×D411yescharacteristic
578C22⋊C4×C43C2×D411yescharacteristic
579C42×C43—21no—
580C42×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588#10621884—22no—
589#10621884—22no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
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
670D344—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×C43C22×D411yescharacteristic
680C23×C43C22×D411yescharacteristic
681C22×D43—22no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—41no—
685C22×D43—41no—
686C22×D43C22×D411yescharacteristic
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689Q8×C43—21no—
690Q8×C43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693D4×C43—41no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—42no—
707C2×C4×C43—81no—
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—22no—
714C22⋊D43—22no—
715C22⋊D43—41no—
716C22⋊D43—41no—
717C22⋊D43—42no—
718C22⋊D43—81no—
719C22⋊D43—81no—
720C22⋊D43—81no—
721C2×Dic43—22no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—42no—
729C2×Dic43—81no—
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732C2×Dic43C22×D411yescharacteristic
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735D172—22no—
736D172—21no—
737D172—21no—
738D172—21no—
739D172—21no—
740D172—41no—
741D172—42no—
742D172—42no—
743D172—42no—
744D172—81no—
745D172—81no—
746D172—81no—
747C4×D43—22no—
748C4×D43—21no—
749C4×D43—21no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—22no—
753C4×D43—42no—
754C4×D43—42no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43C2×#4112yes—
768C4×D432−1+412yes—
769Dic86—22no—
770Dic86—81no—
771Dic86—81no—
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#61266—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43C23×D411yescharacteristic
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—44no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43#54712yes—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
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#54712yes—
831#3493—431no—
832#3492—431no—
833#3356—431no—
834#3356—431no—
835#3355—431no—
836#3355—431no—
837#3354—431no—
838#3354—431no—
839#3352—431no—
840#3352D4311yescharacteristic, complemented
841#3350—431no—
842#3350—431no—
843#3348—431no—
844#3348—431no—
845#3346—431no—
846#3346—431no—
847#3343—431no—
848#3343—431no—
849#3163—431no—
850#3099—431no—
851#3098—431no—
852#3093—431no—
853#3092—431no—
854#3084—431no—
855#3083—431no—
856#3060—431no—
857#3054—431no—
858#2951—431no—
859#2930—431no—
860#2913—431no—
861C2×#428—431no—
862C2×C43—41no—
863C2×C43—41no—
864C2×C43C2×#54711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—22no—
868D43—41no—
869D43—41no—
870D43—81no—
871D43—81no—
872C2×#135—431no—
873C2×#131—431no—
874C22×M16—431no—
875#556—431no—
876#556—431no—
877#556—861no—
878#555—431no—
879#555—431no—
880#555—861no—
881#554—431no—
882#554—431no—
883#554—861no—
884#553—431no—
885#553—431no—
886#553—431no—
887#553—431no—
888#553—861no—
889#553—861no—
890#552—431no—
891#552—431no—
892#552—861no—
893#552—861no—
894#552C2×D4311yescharacteristic
895#552C2×D4311yescharacteristic
896#547—431no—
897#547—431no—
898#547—861no—
899#544—431no—
900#544—431no—
901#539—861no—
902#539—861no—
903#538—861no—
904#538—861no—
905#537—431no—
906#537—431no—
907#529—861no—
908#529—861no—
909#525—431no—
910#525—431no—
911#525—431no—
912#525—861no—
913#525—861no—
914#520—431no—
915#520—431no—
916#520—431no—
917#520—431no—
918C2×#117—431no—
919C22×C4⋊C4—431no—
920#501—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#499—431no—
925#499C2×D4311yescharacteristic, complemented
926#498—431no—
927#498—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485C2×D4311yescharacteristic
935#485C2×D4311yescharacteristic, complemented
936#484—431no—
937#484—431no—
938#484C2×D4311yescharacteristic
939#484C2×D4311yescharacteristic, complemented
940#483—431no—
941#483—431no—
942#483—431no—
943#483—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#481—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#480—431no—
960#479—431no—
961#479—431no—
962#479C2×D4311yescharacteristic, complemented
963#479C2×D4311yescharacteristic, complemented
964#478—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#477—431no—
969#477—431no—
970#476—431no—
971#476—431no—
972#475—431no—
973#475—431no—
974#474—431no—
975#474—431no—
976#470—431no—
977#470—431no—
978#470C2×D4311yescharacteristic
979#470C2×D4311yescharacteristic, complemented
980#469—431no—
981#469—431no—
982#469—431no—
983#469—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#465—431no—
989#465—431no—
990#465—431no—
991#465—431no—
992#440—431no—
993#440—431no—
994#440—431no—
995#440—431no—
996C4×Q16—431no—
997C4×Q16C2×D4311yescharacteristic, complemented
998C4×D8—431no—
999C4×D8—431no—
1000#436—431no—
1001#436—431no—
1002#436—431no—
1003#436C2×D4311yescharacteristic
1004#435—431no—
1005#435—431no—
1006#435—431no—
1007#435—431no—
1008#428—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#428C2×D4311yescharacteristic
1023#428C2×D4311yescharacteristic, complemented
1024#427—431no—
1025#427—431no—
1026#427—431no—
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#107—431no—
1030C2×#107—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033#424—431no—
1034#417—431no—
1035#417—431no—
1036#417—431no—
1037#417—431no—
1038#416—431no—
1039#416—431no—
1040#408—431no—
1041#407—431no—
1042#405—431no—
1043C43#6126611yescharacteristic, complemented, Sylow
1044C2×#41—431no—
1045C2×#41—431no—
1046C2×#41—431no—
1047C2×#41—861no—
1048C2×#41—861no—
1049C23×C4—431no—
1050C23×C4—861no—
1051#135—864no—
1052C2×Q16C22×D4311yescharacteristic
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×D8—431no—
1056#131—864no—
1057C2×M16—431no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C2×M16—864no—
1064C2×M16C22×D4311yescharacteristic
1065C2×M16C22×D4311yescharacteristic
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076#126—21no—
1077#126—21no—
1078#126—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#125—21no—
1089#125—21no—
1090#125—431no—
1091#125—431no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125C22×D4311yescharacteristic
1099#125C22×D4311yescharacteristic
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#123—21no—
1107#123—21no—
1108#123—431no—
1109#123—431no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8C22×D4311yescharacteristic
1141C22⋊Q8C22×D4311yescharacteristic
1142C22⋊Q8C22×D4311yescharacteristic
1143C22⋊Q8C22×D4311yescharacteristic
1144#121—431no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#120—431no—
1167#120—431no—
1168#120—861no—
1169#120—861no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—861no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8C22×D4311yescharacteristic
1177C4×Q8C22×D4311yescharacteristic
1178C4×D4—431no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
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×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4C22×D4311yescharacteristic
1206#117—21no—
1207#117—21no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
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#117C22×D4311yescharacteristic
1226#117C22×D4311yescharacteristic
1227C2×C4⋊C4—431no—
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—431no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4C22×D4311yescharacteristic
1243C2×C4⋊C4C22×D4311yescharacteristic
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246#107—431no—
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#107C22×D4311yescharacteristic
1260#107C22×D4311yescharacteristic
1261#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#107C22×D4311yescharacteristic
1264#106—431no—
1265#106—431no—
1266#106—431no—
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#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8C22×D4311yescharacteristic
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#102—431no—
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#102—431no—
1309#102—431no—
1310C22⋊C8—431no—
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8C22×D4311yescharacteristic
1317C22⋊C8C22×D4311yescharacteristic
1318#97—431no—
1319#97—431no—
1320C4×C8—431no—
1321C4×C8C22×D4311yescharacteristic
1322C24—431no—
1323#41—862no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—862no—
1328#41—862no—
1329#41—3442no—
1330#41—3442no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8C23×D4311yescharacteristic
1337C2×Q8C23×D4311yescharacteristic
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4D4×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—862no—
1366C22×C4—862no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
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×C4—3442no—
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386Q16—22no—
1387SD16—862no—
1388SD16—862no—
1389D8—862no—
1390M16—22no—
1391M16—22no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397M16—862no—
1398C2×C8—431no—
1399C2×C8—434no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8—862no—
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
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⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4D4×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C4⋊C4C23×D4311yescharacteristic
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
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⋊C4—861no—
1502C22⋊C4D4×D4311yescharacteristic
1503C22⋊C4D4×D4311yescharacteristic
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C23—431no—
1521C23—431no—
1522C23—431no—
1523C23—862no—
1524C23—861no—
1525C23—861no—
1526C23—1721no—
1527C23—1721no—
1528C23C2×D4×D4311yescharacteristic
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—862no—
1535Q8—3441no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539D4—41no—
1540D4—862no—
1541D4—862no—
1542D4—862no—
1543D4—861no—
1544D4—861no—
1545D4—861no—
1546D4—861no—
1547D4—3441no—
1548D4—3441no—
1549D4—3441no—
1550D4—3441no—
1551D4—3441no—
1552D4—3441no—
1553D4—1721no—
1554D4—1722no—
1555D4—1722no—
1556D4—1722no—
1557D4—1721no—
1558D4—1721no—
1559D4—1722no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
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—42no—
1573C2×C4—81no—
1574C2×C4—431no—
1575C2×C4—432no—
1576C2×C4—432no—
1577C2×C4—431no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—862no—
1582C2×C4—862no—
1583C2×C4—862no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
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—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C24×D4311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—432no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C8#41×D4312yes—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—432no—
1630C22—861no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—1724no—
1639C22—1721no—
1640C22—1721no—
1641C22—1721no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22C22×D4×D4311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—432no—
1659C4—861no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4C2×#41×D4311yescharacteristic
1670C42−1+4×D4311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—862no—
1674C2—3441no—
1675C2—3441no—
1676C2—1721no—
1677C2—1721no—
1678C2#547×D4311yescharacteristic
1679C2#1914937211yescharacteristic
1680C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3352C2
socleC22×C43C23×D4
hypercenter#3352D43
hypocenterC43#61266
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3352

Complements

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

NH ≅ G/Ntype
1. #19148313C2semidirect
2. #19148295C2semidirect
3. #19147212C2semidirect
4. #19147205C2semidirect
5. #19147199C2semidirect
6. #19147197C2semidirect
7. #19147191C2semidirect
8. #19147186C2semidirect
9. #19147165C2semidirect
10. #19147138C2semidirect
11. #19147137C2semidirect
12. #19147104C2semidirect
13. #19147103C2semidirect
14. #19147087C2semidirect
15. #19147084C2semidirect
16. #19147038C2semidirect
17. #19147035C2semidirect
18. #19145124C2semidirect
19. #19144581C2semidirect
20. #19144574C2semidirect
21. #19144527C2semidirect
22. #19144522C2semidirect
23. #19144460C2semidirect
24. #19144449C2semidirect
25. #19144259C2semidirect
26. #19144206C2semidirect
27. #19143470C2semidirect
28. #19143295C2semidirect
29. #19143194C2semidirect
30. #428×D43C2semidirect
31. C43×#3352C2semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583299C22semidirect
83. #14583297C22semidirect
84. #14583296C22semidirect
87. #14583238C22semidirect
88. #14583238C22semidirect
90. #14583237C22semidirect
91. #14583233C22semidirect
95. #14583228C22semidirect
96. #14583227C22semidirect
98. #14583226C22semidirect
99. #14583226C22semidirect
102. #14583224C22semidirect
104. #14583223C22semidirect
105. #14583219C22semidirect
107. #14583218C22semidirect
111. #14583214C22semidirect
112. #14583212C22semidirect
113. #14583208C22semidirect
114. #14583204C22semidirect
115. #14583202C22semidirect
116. #14583198C22semidirect
117. #14583196C22semidirect
118. #14583196C22semidirect
119. #14583194C22semidirect
120. #14583192C22semidirect
121. #14583190C22semidirect
122. #14583188C22semidirect
123. #14583184C22semidirect
124. #14583182C22semidirect
125. #14583180C22semidirect
126. #14583178C22semidirect
128. #14583154C22semidirect
130. #14583153C22semidirect
132. #14583152C22semidirect
137. #14583131C22semidirect
138. #14583131C22semidirect
139. #14583130C22semidirect
140. #14583130C22semidirect
141. #14583002C22semidirect
142. #14583002C22semidirect
143. #14582997C22semidirect
144. #14582997C22semidirect
145. Q16×Dic43C22semidirect
146. C4×D344C22semidirect
147. #14582981C22semidirect
157. #14582941C22semidirect
163. #14582940C22semidirect
168. #14582938C22semidirect
169. #14582935C22semidirect
171. #14582934C22semidirect
172. C2×#13063258C22semidirect
175. #107×D43C22semidirect
190. C43×#499C22semidirect
192. C43×#485C22semidirect
194. C43×#484C22semidirect
195. C43×#479C22semidirect
196. C43×#479C22semidirect
198. C43×#470C22semidirect
199. C4×Q16×C43C22semidirect
202. C43×#428C22semidirect
678. C8×D43#41semidirect
840. #3352D43semidirect
925. #499C2×D43semidirect
935. #485C2×D43semidirect
939. #484C2×D43semidirect
962. #479C2×D43semidirect
963. #479C2×D43semidirect
979. #470C2×D43semidirect
997. C4×Q16C2×D43semidirect
1023. #428C2×D43semidirect
1043. C43#61266semidirect

Maximal subgroups

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

subgroupindex
#191483132
#191482952
#191472122
#191472052
#191471992
#191471972
#191471912
#191471862
#191471652
#191471382
#191471372
#191471042
#191471032
#191470872
#191470842
#191470382
#191470352
#191451242
#191445812
#191445742
#191445272
#191445222
#191444602
#191444492
#191442592
#191442062
#191434702
#191432952
#191431942
#428×D432
C43×#33522
#6126643