Finite Group Databasebeta

← #25975502

Subgroups — #25975502

Order 11008.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148299C211yesmaximal, characteristic, complemented
2#19148295C211yesmaximal, characteristic, complemented
3#19147069C211yesmaximal, characteristic, complemented
4#19147068C211yesmaximal, characteristic, complemented
5#19147062C211yesmaximal, characteristic, complemented
6#19147059C211yesmaximal, characteristic, complemented
7#19147057C211yesmaximal, characteristic, complemented
8#19147050C211yesmaximal, characteristic, complemented
9#19147048C211yesmaximal, characteristic, complemented
10#19147043C211yesmaximal, characteristic, complemented
11#19146980C211yesmaximal, characteristic, complemented
12#19146975C211yesmaximal, characteristic, complemented
13#19146973C211yesmaximal, characteristic, complemented
14#19146954C211yesmaximal, characteristic, complemented
15#19146953C211yesmaximal, characteristic, complemented
16#19146948C211yesmaximal, characteristic, complemented
17#19146947C211yesmaximal, characteristic, complemented
18#19145124C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144581C211yesmaximal, characteristic, complemented
21#19144522C211yesmaximal, characteristic, complemented
22#19144514C211yesmaximal, characteristic, complemented
23#19144460C211yesmaximal, characteristic, complemented
24#19144458C211yesmaximal, characteristic, complemented
25#19144252C211yesmaximal, characteristic, complemented
26#19144171C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143284C211yesmaximal, characteristic, complemented
29#19143187C211yesmaximal, characteristic, complemented
30C2×#106×D43C211yesmaximal, characteristic, complemented
31C43×#3337C211yesmaximal, characteristic, complemented
32C2×#13063346C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583609C2211yescharacteristic
36#14583608—21no—
37#14583607C2211yescharacteristic
38#14583606C2211yescharacteristic
39#14583605—21no—
40#14583604C2211yescharacteristic
41#14583602C2211yescharacteristic
42#14583601C2211yescharacteristic
43#14583600—21no—
44#14583593C2211yescharacteristic
45#14583592—21no—
46#14583591C2211yescharacteristic
47#14583588C2211yescharacteristic
48#14583587C2211yescharacteristic
49#14583585—21no—
50#14583582—21no—
51#14583554C2211yescharacteristic
52#14583553C2211yescharacteristic
53#14583550C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583547—21no—
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583529C2211yescharacteristic
59#14583497—21no—
60#14583492—21no—
61#14583490—21no—
62#14583490—21no—
63#14583479C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583412C2211yescharacteristic
66#14583411—21no—
67#14583409—21no—
68#14583409C2211yescharacteristic
69#14583408—21no—
70#14583408C2211yescharacteristic
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583378C2211yescharacteristic
76C2×C4⋊C4×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#14583242C2211yescharacteristic, complemented
86#14583240C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic, complemented
88#14583236C2211yescharacteristic
89#14583236C2211yescharacteristic
90#14583232C2211yescharacteristic
91#14583231C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic
93#14583230C2211yescharacteristic, complemented
94#14583229C2211yescharacteristic
95#14583228C2211yescharacteristic
96#14583228C2211yescharacteristic
97#14583228C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic, complemented
100#14583223C2211yescharacteristic, complemented
101#14583222C2211yescharacteristic, complemented
102#14583219C2211yescharacteristic, complemented
103#14583218C2211yescharacteristic
104#14583218C2211yescharacteristic, complemented
105#14583217C2211yescharacteristic
106#14583216C2211yescharacteristic
107#14583216C2211yescharacteristic
108#14583216C2211yescharacteristic, complemented
109#14583215C2211yescharacteristic, complemented
110#14583214C2211yescharacteristic
111#14583214C2211yescharacteristic
112#14583210C2211yescharacteristic
113#14583205C2211yescharacteristic, complemented
114#14583204C2211yescharacteristic, complemented
115#14583203C2211yescharacteristic, complemented
116#14583202C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic, complemented
118#14583196C2211yescharacteristic, complemented
119#14583190C2211yescharacteristic, complemented
120#14583189C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583185C2211yescharacteristic, complemented
124#14583184C2211yescharacteristic, complemented
125#14583183C2211yescharacteristic, complemented
126#14583182C2211yescharacteristic, complemented
127#14583156C2211yescharacteristic, complemented
128#14583155C2211yescharacteristic, complemented
129#14583151C2211yescharacteristic, complemented
130#14583150C2211yescharacteristic, complemented
131#14583139C2211yescharacteristic
132#14583138C2211yescharacteristic
133#14583134C2211yescharacteristic
134#14583133C2211yescharacteristic
135#14583129C2211yescharacteristic
136#14583129C2211yescharacteristic, complemented
137#14583128C2211yescharacteristic
138#14583128C2211yescharacteristic, complemented
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583009C2211yescharacteristic, complemented
142#14583008C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582973C2211yescharacteristic
149#14582971C2211yescharacteristic
150#14582969C2211yescharacteristic
151#14582967C2211yescharacteristic
152C8×D172C2211yescharacteristic
153C8×C22⋊D43C2211yescharacteristic
154C8×C22⋊D43C2211yescharacteristic
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic, complemented
162#14582940C2211yescharacteristic, complemented
163#14582934C2211yescharacteristic
164#14582934C2211yescharacteristic, complemented
165C2×#13063257C2211yescharacteristic
166C2×#13063257C2211yescharacteristic, complemented
167C2×#13063256C2211yescharacteristic
168C2×#13063256C2211yescharacteristic
169#106×D43C2211yescharacteristic
170#106×D43C2211yescharacteristic
171#106×D43C2211yescharacteristic
172#106×D43C2211yescharacteristic
173#106×D43C2211yescharacteristic
174#106×D43C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582899C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582894C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#484C2211yescharacteristic
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic
201C43×#427C2211yescharacteristic, complemented
202C2×#106×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C22×C4×D43—21no—
211C22×C4×D43—21no—
212C22×C4×D43C2311yescharacteristic
213#13063346—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217#13063331—24no—
218C2×#10621877C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43—24no—
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063325C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324—21no—
232#13063324—21no—
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063318—21no—
240#13063318—21no—
241#13063317—21no—
242#13063317—21no—
243#13063316—21no—
244#13063316—21no—
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063310—21no—
253#13063310—21no—
254#13063310—21no—
255#13063310—21no—
256#13063310D411yescharacteristic
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063309—21no—
261#13063308—21no—
262#13063307—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307D411yescharacteristic
269#13063306—21no—
270#13063305—21no—
271#13063305—21no—
272#13063305—21no—
273#13063305—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063304—21no—
277#13063304—21no—
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302D411yescharacteristic
294#13063301C2311yescharacteristic
295#13063301C2311yescharacteristic
296#13063300—21no—
297#13063300—21no—
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063299C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298D411yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063297D411yescharacteristic
310#13063296—21no—
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063295—21no—
314#13063295D411yescharacteristic
315#13063293—21no—
316#13063293D411yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172—21no—
326C4×D172—21no—
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43C2311yescharacteristic
333#13063287—21no—
334#13063287—21no—
335#13063287—21no—
336#13063287C2311yescharacteristic
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43C2311yescharacteristic
340C4×C22⋊D43C2311yescharacteristic
341(C22⋊D43)⋊C4—21no—
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(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349#13063283—21no—
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282C2311yescharacteristic
357#13063281—21no—
358#13063281—21no—
359C2×C4⋊Dic43C2311yescharacteristic
360C2×C4⋊Dic43C2311yescharacteristic
361C2×C4⋊Dic43C2311yescharacteristic
362C2×C4⋊Dic43C2311yescharacteristic
363C2×Dic43⋊C4—21no—
364C2×Dic43⋊C4—21no—
365C2×Dic43⋊C4—21no—
366C4⋊C4×D43—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
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
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
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×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#106×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#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43C2×D411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2×D411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C22×C4×C43—21no—
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43C2×D411yescharacteristic
508#10621902—22no—
509#10621902—22no—
510#10621900—22no—
511#10621900—22no—
512#10621900—82no—
513#10621900—82no—
514#10621898—22no—
515#10621898—22no—
516#10621898—82no—
517#10621898—82no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172C2×D411yescharacteristic
522C2×D172C2×D411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—22no—
525C2×C4×D43—22no—
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—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43—82no—
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2411yescharacteristic
552SD16×C43—22no—
553C2×C8×C43—22no—
554C2×C8×C43—22no—
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43C2×D411yescharacteristic
583C22⋊C4×C43C2×D411yescharacteristic
584C42×C43—21no—
585C42×C43—21no—
586C42×C43—21no—
587C42×C43C2411yescharacteristic
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595#10621885—22no—
596#10621882—22no—
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)⋊C4C2×D411yescharacteristic
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
617C4⋊Dic43—21no—
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⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43C2411yescharacteristic
667#10621877—22no—
668C2×C43⋊C8—22no—
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672C2×C43⋊C8C2411yescharacteristic
673#10621873—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×C43C22×D411yescharacteristic
684C23×C43C22×D411yescharacteristic
685C22×D43—22no—
686C22×D43—22no—
687C22×D43—22no—
688C22×D43—21no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—21no—
693Q8×C43—21no—
694D4×C43—22no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—42no—
698D4×C43—81no—
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—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—42no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C2511yescharacteristic
718C22⋊D43—22no—
719C22⋊D43—22no—
720C22⋊D43—22no—
721C22⋊D43—22no—
722C22⋊D43—42no—
723C22⋊D43—42no—
724C22⋊D43—42no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C2×Dic43—22no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43—81no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746D172—22no—
747D172—22no—
748D172—21no—
749D172—21no—
750D172—42no—
751D172—42no—
752D172—81no—
753C4×D43—22no—
754C4×D43—21no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—22no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—42no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43C2×#4112yes—
773C4×D432−1+412yes—
774Dic86—22no—
775Dic86—21no—
776Dic86—21no—
777Dic86—81no—
778Dic86—81no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61259—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—21no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43#57712yes—
799C22×C43C23×D411yescharacteristic
800C2×D43—28no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43#54712yes—
812C2×D43#57712yes—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43C2×2−1+411yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43#54712yes—
838#3492—431no—
839#3492—431no—
840#3345—431no—
841#3345—431no—
842#3345—431no—
843#3345—431no—
844#3344—431no—
845#3344—431no—
846#3344—431no—
847#3344—431no—
848#3337—431no—
849#3337—431no—
850#3337—431no—
851#3337D4311yescharacteristic, complemented
852#3335—431no—
853#3335—431no—
854#3335—431no—
855#3335—431no—
856#3163—431no—
857#3099—431no—
858#3099—431no—
859#3092—431no—
860#3092—431no—
861#3084—431no—
862#3084—431no—
863#3060—431no—
864#3050—431no—
865#2952—431no—
866#2929—431no—
867#2912—431no—
868C22×#106—431no—
869C2×C43—22no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43C2×#54711yescharacteristic
873C2×C43C2×#57711yescharacteristic
874C2×C43C2×#57711yescharacteristic
875D43—22no—
876D43—22no—
877D43—41no—
878D43—81no—
879C2×#135—431no—
880C2×#131—431no—
881C23×C8—431no—
882#554—431no—
883#554—431no—
884#554—431no—
885#554—431no—
886#554—861no—
887#554—861no—
888#553—431no—
889#553—431no—
890#553—431no—
891#553—861no—
892#553—861no—
893#553C2×D4311yescharacteristic
894#552—431no—
895#552—431no—
896#552—431no—
897#552—861no—
898#552—861no—
899#552C2×D4311yescharacteristic
900#547—431no—
901#547—431no—
902#547—431no—
903#547—431no—
904#547—861no—
905#547—861no—
906#544—431no—
907#544—431no—
908#539—861no—
909#539—861no—
910#539—861no—
911#539—861no—
912#537—431no—
913#537—431no—
914#525—431no—
915#525—431no—
916#525—431no—
917#525—861no—
918#525—861no—
919#525—861no—
920#525—861no—
921#520—431no—
922#520—431no—
923#520—431no—
924#520—431no—
925C22×C4⋊C4—431no—
926C22×C4⋊C4—431no—
927#501—431no—
928#501—431no—
929#501—431no—
930#501—431no—
931#499—431no—
932#499C2×D4311yescharacteristic, complemented
933#498—431no—
934#498—431no—
935#485—431no—
936#485—431no—
937#485—431no—
938#485C2×D4311yescharacteristic, complemented
939#484—431no—
940#484—431no—
941#484—431no—
942#484C2×D4311yescharacteristic
943#483—431no—
944#483—431no—
945#483—431no—
946#483—431no—
947#483—431no—
948#483—431no—
949#483—431no—
950#483—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482C2×D4311yescharacteristic, complemented
955#481—431no—
956#481—431no—
957#481—431no—
958#481—431no—
959#481—431no—
960#481—431no—
961#481—431no—
962#481—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480C2×D4311yescharacteristic
967#479—431no—
968#479—431no—
969#479—431no—
970#479C2×D4311yescharacteristic, complemented
971#478—431no—
972#478—431no—
973#478—431no—
974#478C2×D4311yescharacteristic, complemented
975#476—431no—
976#476—431no—
977#476—431no—
978#476—431no—
979#475—431no—
980#475—431no—
981#475—431no—
982#475—431no—
983#470—431no—
984#470—431no—
985#469—431no—
986#469—431no—
987#467—431no—
988#467—431no—
989#466—431no—
990#466—431no—
991#465—431no—
992#465—431no—
993#465—431no—
994#465—431no—
995#465—431no—
996#465—431no—
997#465C2×D4311yescharacteristic
998#465C2×D4311yescharacteristic, complemented
999#442—431no—
1000#442—431no—
1001#441—431no—
1002#441—431no—
1003C4×SD16—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16C2×D4311yescharacteristic, complemented
1007#435—431no—
1008#435—431no—
1009#435—431no—
1010#435—431no—
1011C8×D4—431no—
1012C8×D4—431no—
1013C8×D4—431no—
1014C8×D4C2×D4311yescharacteristic
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#427—431no—
1024#427—431no—
1025#427C2×D4311yescharacteristic, complemented
1026C2×#106—431no—
1027C2×#106—431no—
1028C2×#106—431no—
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033C2×#106—431no—
1034C2×#106—431no—
1035C2×#106—431no—
1036C2×#106—431no—
1037C2×#106—431no—
1038C2×#106—431no—
1039C2×#106C2×D4311yescharacteristic
1040#424—431no—
1041#417—431no—
1042#417—431no—
1043#417—431no—
1044#417—431no—
1045#416—431no—
1046#416—431no—
1047#408—431no—
1048#407—431no—
1049#405—431no—
1050C43#6125911yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—861no—
1055C2×#41—861no—
1056C2×#41—861no—
1057C2×#41—861no—
1058C23×C4—431no—
1059C23×C4—861no—
1060C23×C4—861no—
1061#135—864no—
1062C2×Q16—431no—
1063C2×SD16—431no—
1064C2×SD16C22×D4311yescharacteristic
1065C2×D8—431no—
1066#131—864no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C22×C8—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8—864no—
1078C22×C8C22×D4311yescharacteristic
1079C22×C8C22×D4311yescharacteristic
1080C4⋊Q8—431no—
1081C4⋊Q8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086#126—21no—
1087#126—21no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#125—21no—
1095#125—431no—
1096#125—431no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125C22×D4311yescharacteristic
1107#125C22×D4311yescharacteristic
1108#123—21no—
1109#123—21no—
1110#123—431no—
1111#123—431no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8C22×D4311yescharacteristic
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—21no—
1157#121—431no—
1158#121—431no—
1159#121—431no—
1160#121—431no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121C22×D4311yescharacteristic
1175#121C22×D4311yescharacteristic
1176#120—431no—
1177#120—431no—
1178#120—861no—
1179#120—861no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8C22×D4311yescharacteristic
1186C4×D4—21no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
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×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4C22×D4311yescharacteristic
1215C4×D4C22×D4311yescharacteristic
1216#117—21no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117C22×D4311yescharacteristic
1228#117C22×D4311yescharacteristic
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—431no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4C22×D4311yescharacteristic
1252C2×C4⋊C4C22×D4311yescharacteristic
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#106—431no—
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#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106C22×D4311yescharacteristic
1285#106C22×D4311yescharacteristic
1286#106C22×D4311yescharacteristic
1287#106C22×D4311yescharacteristic
1288#106C22×D4311yescharacteristic
1289C4⋊C8—431no—
1290C4⋊C8—431no—
1291C4⋊C8—431no—
1292C4⋊C8C22×D4311yescharacteristic
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8C22×D4311yescharacteristic
1324C22⋊C8C22×D4311yescharacteristic
1325#97—431no—
1326#97—431no—
1327C4×C8—431no—
1328C4×C8C22×D4311yescharacteristic
1329C24—431no—
1330#41—862no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—3442no—
1337#41—3442no—
1338#41—3442no—
1339#41—3442no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8—861no—
1345C2×Q8—861no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4D4×D4311yescharacteristic
1365C2×D4C23×D4311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—862no—
1376C22×C4—862no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—3442no—
1397C22×C4—3442no—
1398C22×C4C23×D4311yescharacteristic
1399C22×C4C23×D4311yescharacteristic
1400Q16—862no—
1401SD16—22no—
1402SD16—862no—
1403D8—862no—
1404M16—862no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408C2×C8—22no—
1409C2×C8—22no—
1410C2×C8—431no—
1411C2×C8—434no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8—862no—
1419C2×C8—862no—
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C2×C8C23×D4311yescharacteristic
1423C2×C8C23×D4311yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
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⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4D4×D4311yescharacteristic
1476C4⋊C4C23×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4D4×D4311yescharacteristic
1517C22⋊C4D4×D4311yescharacteristic
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—431no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42C23×D4311yescharacteristic
1530C23—21no—
1531C23—431no—
1532C23—431no—
1533C23—431no—
1534C23—862no—
1535C23—862no—
1536C23—862no—
1537C23—861no—
1538C23C2×D4×D4311yescharacteristic
1539C23C2×D4×D4311yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—862no—
1543Q8—861no—
1544Q8—861no—
1545Q8—3441no—
1546Q8—3441no—
1547Q8—3441no—
1548Q8—3441no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—42no—
1553D4—81no—
1554D4—862no—
1555D4—862no—
1556D4—862no—
1557D4—862no—
1558D4—862no—
1559D4—862no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—1722no—
1566D4—1722no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—431no—
1585C2×C4—432no—
1586C2×C4—432no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—862no—
1592C2×C4—862no—
1593C2×C4—862no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—432no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—432no—
1646C22—432no—
1647C22—868no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22#1458370612yes—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—432no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—1721no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C42−1+4×D4311yescharacteristic
1685C2—22no—
1686C2—41no—
1687C2—81no—
1688C2—862no—
1689C2—862no—
1690C2—3441no—
1691C2—1721no—
1692C2#547×D4311yescharacteristic
1693C2#577×D4311yescharacteristic
1694C2C2×#1458370611yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3337C2
socleC22×C43C23×D4
hypercenter#3337D43
hypocenterC43#61259
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #19148299C2semidirect
2. #19148295C2semidirect
3. #19147069C2semidirect
4. #19147068C2semidirect
5. #19147062C2semidirect
6. #19147059C2semidirect
7. #19147057C2semidirect
8. #19147050C2semidirect
9. #19147048C2semidirect
10. #19147043C2semidirect
11. #19146980C2semidirect
12. #19146975C2semidirect
13. #19146973C2semidirect
14. #19146954C2semidirect
15. #19146953C2semidirect
16. #19146948C2semidirect
17. #19146947C2semidirect
18. #19145124C2semidirect
19. #19144587C2semidirect
20. #19144581C2semidirect
21. #19144522C2semidirect
22. #19144514C2semidirect
23. #19144460C2semidirect
24. #19144458C2semidirect
25. #19144252C2semidirect
26. #19144171C2semidirect
27. #19143473C2semidirect
28. #19143284C2semidirect
29. #19143187C2semidirect
30. C2×#106×D43C2semidirect
31. C43×#3337C2semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583307C22semidirect
81. #14583307C22semidirect
82. #14583299C22semidirect
83. #14583297C22semidirect
84. #14583296C22semidirect
85. #14583242C22semidirect
86. #14583240C22semidirect
87. #14583238C22semidirect
91. #14583231C22semidirect
93. #14583230C22semidirect
97. #14583228C22semidirect
98. #14583227C22semidirect
99. #14583226C22semidirect
100. #14583223C22semidirect
101. #14583222C22semidirect
102. #14583219C22semidirect
104. #14583218C22semidirect
108. #14583216C22semidirect
109. #14583215C22semidirect
113. #14583205C22semidirect
114. #14583204C22semidirect
115. #14583203C22semidirect
116. #14583202C22semidirect
117. #14583201C22semidirect
118. #14583196C22semidirect
119. #14583190C22semidirect
120. #14583189C22semidirect
121. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583185C22semidirect
124. #14583184C22semidirect
125. #14583183C22semidirect
126. #14583182C22semidirect
127. #14583156C22semidirect
128. #14583155C22semidirect
129. #14583151C22semidirect
130. #14583150C22semidirect
136. #14583129C22semidirect
138. #14583128C22semidirect
140. #14583125C22semidirect
141. #14583009C22semidirect
142. #14583008C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
161. #14582940C22semidirect
162. #14582940C22semidirect
164. #14582934C22semidirect
166. C2×#13063257C22semidirect
177. #106×D43C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
193. C43×#482C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
198. C43×#465C22semidirect
199. C4×SD16×C43C22semidirect
201. C43×#427C22semidirect
681. C8×D43#41semidirect
851. #3337D43semidirect
932. #499C2×D43semidirect
938. #485C2×D43semidirect
954. #482C2×D43semidirect
970. #479C2×D43semidirect
974. #478C2×D43semidirect
998. #465C2×D43semidirect
1006. C4×SD16C2×D43semidirect
1025. #427C2×D43semidirect
1050. C43#61259semidirect

Maximal subgroups

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

subgroupindex
#191482992
#191482952
#191470692
#191470682
#191470622
#191470592
#191470572
#191470502
#191470482
#191470432
#191469802
#191469752
#191469732
#191469542
#191469532
#191469482
#191469472
#191451242
#191445872
#191445812
#191445222
#191445142
#191444602
#191444582
#191442522
#191441712
#191434732
#191432842
#191431872
C2×#106×D432
C43×#33372
#6125943