Finite Group Databasebeta

← #25975607

Subgroups — #25975607

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#19148306C211yesmaximal, characteristic, complemented
2#19148299C211yesmaximal, characteristic, complemented
3#19147215C211yesmaximal, characteristic, complemented
4#19147214C211yesmaximal, characteristic, complemented
5#19147177C211yesmaximal, characteristic, complemented
6#19147176C211yesmaximal, characteristic, complemented
7#19147162C211yesmaximal, characteristic, complemented
8#19147149C211yesmaximal, characteristic, complemented
9#19147148C211yesmaximal, characteristic, complemented
10#19147148C211yesmaximal, characteristic, complemented
11#19147124C211yesmaximal, characteristic, complemented
12#19147121C211yesmaximal, characteristic, complemented
13#19147090C211yesmaximal, characteristic, complemented
14#19147071C211yesmaximal, characteristic, complemented
15#19147070C211yesmaximal, characteristic, complemented
16#19147052C211yesmaximal, characteristic, complemented
17#19147051C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19144587C211yesmaximal, characteristic, complemented
20#19144570C211yesmaximal, characteristic, complemented
21#19144523C211yesmaximal, characteristic, complemented
22#19144514C211yesmaximal, characteristic, complemented
23#19144458C211yesmaximal, characteristic, complemented
24#19144441C211yesmaximal, characteristic, complemented
25#19144260C211yesmaximal, characteristic, complemented
26#19144202C211yesmaximal, characteristic, complemented
27#19143477C211yesmaximal, characteristic, complemented
28#19143293C211yesmaximal, characteristic, complemented
29#19143187C211yesmaximal, characteristic, complemented
30#428×D43C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063344C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C2×M16×D43C2211yescharacteristic
35#14583623C2211yescharacteristic
36#14583618—21no—
37#14583617C2211yescharacteristic
38#14583613C2211yescharacteristic
39#14583611—21no—
40#14583608—21no—
41#14583606C2211yescharacteristic
42#14583604C2211yescharacteristic
43#14583601C2211yescharacteristic
44#14583601C2211yescharacteristic
45#14583599C2211yescharacteristic
46#14583592—21no—
47#14583592—21no—
48#14583589C2211yescharacteristic
49#14583588C2211yescharacteristic
50#14583588C2211yescharacteristic
51#14583587C2211yescharacteristic
52#14583585—21no—
53#14583582—21no—
54#14583554C2211yescharacteristic
55#14583549C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583492—21no—
60#14583490—21no—
61#14583483—21no—
62#14583481—21no—
63#14583478C2211yescharacteristic
64#14583478C2211yescharacteristic
65#14583428—21no—
66#14583427—21no—
67#14583409—21no—
68#14583409C2211yescharacteristic
69#14583409C2211yescharacteristic
70#14583408—21no—
71#14583408C2211yescharacteristic
72#14583379C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583378C2211yescharacteristic
76#117×D43C2211yescharacteristic
77C2×C4⋊C4×D43C2211yescharacteristic
78#14583308C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583303C2211yescharacteristic, complemented
82#14583302C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic
86#14583243C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic
94#14583236C2211yescharacteristic
95#14583236C2211yescharacteristic, complemented
96#14583235C2211yescharacteristic, complemented
97#14583231C2211yescharacteristic, complemented
98#14583230C2211yescharacteristic
99#14583230C2211yescharacteristic, complemented
100#14583229C2211yescharacteristic
101#14583222C2211yescharacteristic
102#14583222C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic
104#14583221C2211yescharacteristic, complemented
105#14583220C2211yescharacteristic
106#14583216C2211yescharacteristic
107#14583216C2211yescharacteristic
108#14583216C2211yescharacteristic, complemented
109#14583215C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583210C2211yescharacteristic
112#14583210C2211yescharacteristic, complemented
113#14583207C2211yescharacteristic, complemented
114#14583205C2211yescharacteristic, complemented
115#14583205C2211yescharacteristic, complemented
116#14583203C2211yescharacteristic, complemented
117#14583201C2211yescharacteristic, complemented
118#14583201C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic, complemented
120#14583193C2211yescharacteristic, complemented
121#14583191C2211yescharacteristic, complemented
122#14583189C2211yescharacteristic, complemented
123#14583187C2211yescharacteristic, complemented
124#14583185C2211yescharacteristic, complemented
125#14583183C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583158C2211yescharacteristic
128#14583157C2211yescharacteristic
129#14583149C2211yescharacteristic
130#14583144C2211yescharacteristic
131#14583144C2211yescharacteristic
132#14583144C2211yescharacteristic, complemented
133#14583144C2211yescharacteristic, complemented
134#14583143C2211yescharacteristic
135#14583143C2211yescharacteristic
136#14583143C2211yescharacteristic, complemented
137#14583143C2211yescharacteristic, complemented
138#14583141C2211yescharacteristic, complemented
139#14583140C2211yescharacteristic, complemented
140#14583132C2211yescharacteristic, complemented
141#14583011C2211yescharacteristic, complemented
142#14583007C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14582990C2211yescharacteristic, complemented
145#14582990C2211yescharacteristic, complemented
146C4×#10621883C2211yescharacteristic, complemented
147C4×#10621883C2211yescharacteristic, complemented
148#14582977C2211yescharacteristic
149#14582976C2211yescharacteristic
150#14582974C2211yescharacteristic
151#14582974C2211yescharacteristic
152#14582972C2211yescharacteristic
153#14582970C2211yescharacteristic
154#14582968C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582942C2211yescharacteristic, complemented
157#14582942C2211yescharacteristic, complemented
158#14582941C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582940C2211yescharacteristic
163#14582940C2211yescharacteristic
164#14582940C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic, complemented
166#14582939C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582938C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic, complemented
172#107×D43C2211yescharacteristic
173#107×D43C2211yescharacteristic
174C2×#13063257C2211yescharacteristic, complemented
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582892C2211yescharacteristic
184#14582892C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582856C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic
198C43×#466C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C22×C4×D43—21no—
209C22×C4×D43C2311yescharacteristic
210#13063344—24no—
211C2×Dic172C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621883C2311yescharacteristic
214#13063331—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621877C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222M16×D43—24no—
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063319—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063314—21no—
254#13063312—21no—
255#13063311—21no—
256#13063311—21no—
257#13063310—21no—
258#13063310D411yescharacteristic
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#13063307—21no—
269#13063307D411yescharacteristic
270#13063306—21no—
271#13063306—21no—
272#13063305—21no—
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063305C2311yescharacteristic
277#13063304—21no—
278#13063304—21no—
279#13063304C2311yescharacteristic
280#13063304C2311yescharacteristic
281#13063304C2311yescharacteristic
282#13063304C2311yescharacteristic
283#13063303—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303D411yescharacteristic
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302D411yescharacteristic
293#13063301—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298D411yescharacteristic
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297—21no—
303#13063297D411yescharacteristic
304#13063296—21no—
305#13063296—21no—
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295D411yescharacteristic
311#13063293—21no—
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290C2311yescharacteristic
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172—21no—
324C4×D172C2311yescharacteristic
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43C2311yescharacteristic
331D4×Dic43C2311yescharacteristic
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43C2311yescharacteristic
337C4×C22⋊D43C2311yescharacteristic
338(C22⋊D43)⋊C4—21no—
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(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346#13063284C2311yescharacteristic
347#13063283—21no—
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282C2311yescharacteristic
358#13063281—21no—
359#13063281—21no—
360#13063281—21no—
361#13063281—21no—
362#13063281—21no—
363C2×C4⋊Dic43C2311yescharacteristic
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C2×Dic43⋊C4—21no—
368C2×Dic43⋊C4—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#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
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×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×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#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×D43C2×D411yescharacteristic
482C2×Q8×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43C2×D411yescharacteristic
513#10621900—22no—
514#10621900—22no—
515#10621900—22no—
516#10621900—22no—
517#10621900—82no—
518#10621898—22no—
519#10621898—22no—
520#10621898—82no—
521C2×D172C2×D411yescharacteristic
522C2×D172C2×D411yescharacteristic
523C2×C4×D43—22no—
524C2×C4×D43—22no—
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—82no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2411yescharacteristic
544C2×Dic86C2411yescharacteristic
545D8×C43—22no—
546M16×C43—22no—
547C2×C8×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×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43C2×D411yescharacteristic
573C22⋊C4×C43C2×D411yescharacteristic
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43C2411yescharacteristic
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621883—22no—
592#10621883—22no—
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)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665#10621877—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670Dic172—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675#10621872—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43—21no—
681C23×C43C22×D411yescharacteristic
682C23×C43C22×D411yescharacteristic
683C22×D43—22no—
684C22×D43—41no—
685C22×D43—41no—
686C22×D43C22×D411yescharacteristic
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689Q8×C43—81no—
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—41no—
695D4×C43—42no—
696D4×C43—81no—
697D4×C43—81no—
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—81no—
710C2×C4×C43—81no—
711C2×C4×C43—81no—
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C2511yescharacteristic
717C22⋊D43—22no—
718C22⋊D43—22no—
719C22⋊D43—41no—
720C22⋊D43—41no—
721C22⋊D43—42no—
722C22⋊D43—42no—
723C22⋊D43—42no—
724C22⋊D43—81no—
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—21no—
736C2×Dic43—42no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43—81no—
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—22no—
749D172—41no—
750C4×D43—22no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—21no—
755C4×D43—22no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43C2×#4112yes—
765C4×D432−1+412yes—
766Dic86—22no—
767Dic86—21no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
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#61265—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43C23×D411yescharacteristic
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—44no—
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×C43C22×#4111yescharacteristic
817C4×C43C2×2−1+411yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43#54712yes—
831#3493—431no—
832#3492—431no—
833#3357—431no—
834#3357—431no—
835#3353—431no—
836#3353—431no—
837#3351—431no—
838#3351—431no—
839#3351—431no—
840#3351—431no—
841#3349—431no—
842#3349—431no—
843#3347—431no—
844#3347D4311yescharacteristic, complemented
845#3345—431no—
846#3345—431no—
847#3344—431no—
848#3344—431no—
849#3164—431no—
850#3099—431no—
851#3098—431no—
852#3093—431no—
853#3092—431no—
854#3084—431no—
855#3083—431no—
856#3061—431no—
857#3054—431no—
858#2952—431no—
859#2930—431no—
860#2912—431no—
861C2×#428—431no—
862C2×C43—41no—
863C2×C43—41no—
864C2×C43—81no—
865C2×C43—81no—
866C2×C43C2×#54711yescharacteristic
867C2×C43#358511yescharacteristic
868C2×C43#358611yescharacteristic
869D43—22no—
870D43—41no—
871D43—41no—
872C2×#135—431no—
873C2×#131—431no—
874C22×M16—431no—
875#556—431no—
876#556—431no—
877#556—861no—
878#555—431no—
879#555—861no—
880#555C2×D4311yescharacteristic
881#554—431no—
882#554—431no—
883#554—861no—
884#553—431no—
885#553—431no—
886#553—431no—
887#553—861no—
888#553—861no—
889#553C2×D4311yescharacteristic
890#552—431no—
891#552—431no—
892#552—431no—
893#552—431no—
894#552—861no—
895#552—861no—
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#501C2×D4311yescharacteristic, complemented
924#500—431no—
925#500—431no—
926#499—431no—
927#499—431no—
928#485—431no—
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485—431no—
936#484—431no—
937#484—431no—
938#484—431no—
939#484—431no—
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#482C2×D4311yescharacteristic
950#482C2×D4311yescharacteristic, complemented
951#482C2×D4311yescharacteristic, complemented
952#481—431no—
953#481—431no—
954#481—431no—
955#481—431no—
956#480—431no—
957#480—431no—
958#480—431no—
959#480C2×D4311yescharacteristic
960#479—431no—
961#479—431no—
962#479—431no—
963#479—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#478C2×D4311yescharacteristic, complemented
968#477—431no—
969#477—431no—
970#476—431no—
971#476—431no—
972#475—431no—
973#475—431no—
974#474—431no—
975#474C2×D4311yescharacteristic, complemented
976#470—431no—
977#470—431no—
978#469—431no—
979#469C2×D4311yescharacteristic
980#468—431no—
981#468—431no—
982#468—431no—
983#468—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#467—431no—
989#467—431no—
990#466—431no—
991#466C2×D4311yescharacteristic, complemented
992#442—431no—
993#442C2×D4311yescharacteristic, complemented
994#441—431no—
995#441—431no—
996C4×SD16—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16—431no—
1000#436—431no—
1001#436—431no—
1002#436—431no—
1003#436—431no—
1004#435—431no—
1005#435—431no—
1006#435—431no—
1007#435C2×D4311yescharacteristic
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#428—431no—
1023#428C2×D4311yescharacteristic
1024#427—431no—
1025#427—431no—
1026#427C2×D4311yescharacteristic, complemented
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#106—431no—
1030C2×#106—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#6126511yescharacteristic, 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×Q16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×D8C22×D4311yescharacteristic
1056#131—864no—
1057C2×M16—431no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C2×M16—431no—
1063C2×M16—431no—
1064C2×M16—864no—
1065C2×M16C22×D4311yescharacteristic
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—431no—
1069C22×C8C22×D4311yescharacteristic
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8C22×D4311yescharacteristic
1076#126—21no—
1077#126—861no—
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—431no—
1089#125—431no—
1090#125—431no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125—861no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125C22×D4311yescharacteristic
1100#124—21no—
1101#124—21no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#123—21no—
1107#123—431no—
1108#123—431no—
1109#123—861no—
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—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
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⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144#121—21no—
1145#121—21no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—861no—
1153#121—861no—
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#121C22×D4311yescharacteristic
1163#121C22×D4311yescharacteristic
1164#121C22×D4311yescharacteristic
1165#121C22×D4311yescharacteristic
1166#120—431no—
1167#120—431no—
1168#120—861no—
1169#120—861no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×D4—21no—
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—861no—
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×D4C22×D4311yescharacteristic
1204C4×D4C22×D4311yescharacteristic
1205C4×D4C22×D4311yescharacteristic
1206#117—21no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117C22×D4311yescharacteristic
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—431no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
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#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102C22×D4311yescharacteristic
1305#102C22×D4311yescharacteristic
1306#102C22×D4311yescharacteristic
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
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#97C22×D4311yescharacteristic
1320C4×C8—431no—
1321C4×C8—431no—
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—21no—
1332C2×Q8—431no—
1333C2×Q8—431no—
1334C2×Q8—431no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4D4×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—862no—
1367C22×C4—862no—
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—862no—
1387SD16—862no—
1388SD16—862no—
1389D8—22no—
1390M16—22no—
1391M16—862no—
1392M16—862no—
1393M16—862no—
1394M16—862no—
1395M16—862no—
1396M16—862no—
1397M16—862no—
1398C2×C8—22no—
1399C2×C8—431no—
1400C2×C8—434no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
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—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊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—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
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—431no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C23—21no—
1521C23—21no—
1522C23—431no—
1523C23—431no—
1524C23—431no—
1525C23—862no—
1526C23—1721no—
1527C23—1721no—
1528C23C2×D4×D4311yescharacteristic
1529C23C2×D4×D4311yescharacteristic
1530Q8—81no—
1531Q8—862no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—861no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—41no—
1544D4—42no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—862no—
1549D4—862no—
1550D4—862no—
1551D4—3441no—
1552D4—3441no—
1553D4—3441no—
1554D4—1721no—
1555D4—1721no—
1556D4—1721no—
1557D4—1722no—
1558D4—1722no—
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—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—431no—
1574C2×C4—432no—
1575C2×C4—432no—
1576C2×C4—431no—
1577C2×C4—431no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—862no—
1581C2×C4—862no—
1582C2×C4—862no—
1583C2×C4—861no—
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—861no—
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—1722no—
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—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—432no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—861no—
1642C22—861no—
1643C22—861no—
1644C22—1724no—
1645C22C22×D4×D4311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—432no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4C2×#41×D4311yescharacteristic
1670C42−1+4×D4311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—81no—
1674C2—81no—
1675C2—862no—
1676C2—1721no—
1677C2—1721no—
1678C2#547×D4311yescharacteristic
1679C2#1914937011yescharacteristic
1680C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61265
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148306C2semidirect
2. #19148299C2semidirect
3. #19147215C2semidirect
4. #19147214C2semidirect
5. #19147177C2semidirect
6. #19147176C2semidirect
7. #19147162C2semidirect
8. #19147149C2semidirect
9. #19147148C2semidirect
10. #19147148C2semidirect
11. #19147124C2semidirect
12. #19147121C2semidirect
13. #19147090C2semidirect
14. #19147071C2semidirect
15. #19147070C2semidirect
16. #19147052C2semidirect
17. #19147051C2semidirect
18. #19145130C2semidirect
19. #19144587C2semidirect
20. #19144570C2semidirect
21. #19144523C2semidirect
22. #19144514C2semidirect
23. #19144458C2semidirect
24. #19144441C2semidirect
25. #19144260C2semidirect
26. #19144202C2semidirect
27. #19143477C2semidirect
28. #19143293C2semidirect
29. #19143187C2semidirect
30. #428×D43C2semidirect
31. C43×#3347C2semidirect
78. #14583308C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583303C22semidirect
82. #14583302C22semidirect
83. #14583299C22semidirect
84. #14583298C22semidirect
86. #14583243C22semidirect
88. #14583242C22semidirect
91. #14583240C22semidirect
92. #14583240C22semidirect
95. #14583236C22semidirect
96. #14583235C22semidirect
97. #14583231C22semidirect
99. #14583230C22semidirect
102. #14583222C22semidirect
104. #14583221C22semidirect
108. #14583216C22semidirect
109. #14583215C22semidirect
110. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583207C22semidirect
114. #14583205C22semidirect
115. #14583205C22semidirect
116. #14583203C22semidirect
117. #14583201C22semidirect
118. #14583201C22semidirect
119. #14583199C22semidirect
120. #14583193C22semidirect
121. #14583191C22semidirect
122. #14583189C22semidirect
123. #14583187C22semidirect
124. #14583185C22semidirect
125. #14583183C22semidirect
126. #14583177C22semidirect
132. #14583144C22semidirect
133. #14583144C22semidirect
136. #14583143C22semidirect
137. #14583143C22semidirect
138. #14583141C22semidirect
139. #14583140C22semidirect
140. #14583132C22semidirect
141. #14583011C22semidirect
142. #14583007C22semidirect
143. #14583005C22semidirect
144. #14582990C22semidirect
145. #14582990C22semidirect
146. C4×#10621883C22semidirect
147. C4×#10621883C22semidirect
156. #14582942C22semidirect
157. #14582942C22semidirect
164. #14582940C22semidirect
165. #14582940C22semidirect
171. #14582934C22semidirect
174. C2×#13063257C22semidirect
177. #106×D43C22semidirect
190. C43×#501C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
198. C43×#466C22semidirect
199. C43×#442C22semidirect
202. C43×#427C22semidirect
678. C8×D43#41semidirect
844. #3347D43semidirect
923. #501C2×D43semidirect
950. #482C2×D43semidirect
951. #482C2×D43semidirect
967. #478C2×D43semidirect
975. #474C2×D43semidirect
991. #466C2×D43semidirect
993. #442C2×D43semidirect
1026. #427C2×D43semidirect
1043. C43#61265semidirect

Maximal subgroups

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

subgroupindex
#191483062
#191482992
#191472152
#191472142
#191471772
#191471762
#191471622
#191471492
#191471482
#191471242
#191471212
#191470902
#191470712
#191470702
#191470522
#191470512
#191451302
#191445872
#191445702
#191445232
#191445142
#191444582
#191444412
#191442602
#191442022
#191434772
#191432932
#191431872
#428×D432
C43×#33472
#6126543