Finite Group Databasebeta

← #25975808

Subgroups — #25975808

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148329C211yesmaximal, characteristic, complemented
2#19148306C211yesmaximal, characteristic, complemented
3#19147202C211yesmaximal, characteristic, complemented
4#19147194C211yesmaximal, characteristic, complemented
5#19147178C211yesmaximal, characteristic, complemented
6#19147177C211yesmaximal, characteristic, complemented
7#19147147C211yesmaximal, characteristic, complemented
8#19147136C211yesmaximal, characteristic, complemented
9#19147110C211yesmaximal, characteristic, complemented
10#19147106C211yesmaximal, characteristic, complemented
11#19147101C211yesmaximal, characteristic, complemented
12#19147095C211yesmaximal, characteristic, complemented
13#19147072C211yesmaximal, characteristic, complemented
14#19147071C211yesmaximal, characteristic, complemented
15#19147012C211yesmaximal, characteristic, complemented
16#19146976C211yesmaximal, characteristic, complemented
17#19146967C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144550C211yesmaximal, characteristic, complemented
21#19144507C211yesmaximal, characteristic, complemented
22#482×D43C211yesmaximal, characteristic, complemented
23#19144452C211yesmaximal, characteristic, complemented
24#19144421C211yesmaximal, characteristic, complemented
25#19144274C211yesmaximal, characteristic, complemented
26#19144211C211yesmaximal, characteristic, complemented
27#19143420C211yesmaximal, characteristic, complemented
28#19143315C211yesmaximal, characteristic, complemented
29#19143187C211yesmaximal, characteristic, complemented
30#19143183C211yesmaximal, characteristic, complemented
31C43×#3341C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×#10621872C2211yescharacteristic
35#14583623C2211yescharacteristic, complemented
36#14583618—21no—
37#14583617C2211yescharacteristic, complemented
38#14583613C2211yescharacteristic, complemented
39#14583612C2211yescharacteristic
40#14583611—21no—
41#14583601C2211yescharacteristic, complemented
42#14583599C2211yescharacteristic
43#14583599C2211yescharacteristic, complemented
44#14583596C2211yescharacteristic
45#14583595C2211yescharacteristic
46#14583593C2211yescharacteristic
47#14583592—21no—
48#14583589C2211yescharacteristic, complemented
49#14583588C2211yescharacteristic, complemented
50#14583582—21no—
51#14583579—21no—
52#14583573—21no—
53#14583552C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583542—21no—
56#14583538—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583513—21no—
60#14583499—21no—
61#14583483—21no—
62#14583481—21no—
63#14583478C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583448—21no—
66#14583428—21no—
67#14583427—21no—
68#14583427—21no—
69#14583409C2211yescharacteristic
70#14583408C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583379C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583371C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583303C2211yescharacteristic, complemented
83#14583301C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583240C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic
94#14583226C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic
96#14583224C2211yescharacteristic
97#14583223C2211yescharacteristic
98#14583223C2211yescharacteristic, complemented
99#14583222C2211yescharacteristic
100#14583221C2211yescharacteristic
101#14583221C2211yescharacteristic, complemented
102#14583221C2211yescharacteristic, complemented
103#14583220C2211yescharacteristic
104#14583220C2211yescharacteristic, complemented
105#14583219C2211yescharacteristic, complemented
106#14583216C2211yescharacteristic, complemented
107#14583215C2211yescharacteristic, complemented
108#14583213C2211yescharacteristic, complemented
109#14583211C2211yescharacteristic, complemented
110#14583211C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583209C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583201C2211yescharacteristic, complemented
116#14583200C2211yescharacteristic, complemented
117#14583199C2211yescharacteristic, complemented
118#14583199C2211yescharacteristic, complemented
119#14583198C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583188C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583183C2211yescharacteristic, complemented
124#14583181C2211yescharacteristic, complemented
125#14583177C2211yescharacteristic, complemented
126#14583176C2211yescharacteristic, complemented
127#14583151C2211yescharacteristic
128#14583150C2211yescharacteristic, complemented
129#14583149C2211yescharacteristic
130#14583149C2211yescharacteristic, complemented
131#14583146C2211yescharacteristic
132#14583146C2211yescharacteristic, complemented
133#14583144C2211yescharacteristic
134#14583143C2211yescharacteristic, complemented
135#14583134C2211yescharacteristic, complemented
136#14583133C2211yescharacteristic
137#14583128C2211yescharacteristic
138#14583128C2211yescharacteristic, complemented
139#14583127C2211yescharacteristic, complemented
140#14583126C2211yescharacteristic
141#14583011C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582998C2211yescharacteristic, complemented
145#14582990C2211yescharacteristic, complemented
146C4×#10621873C2211yescharacteristic, complemented
147#14582979C2211yescharacteristic, complemented
148#14582978C2211yescharacteristic, complemented
149#14582974C2211yescharacteristic, complemented
150#14582971C2211yescharacteristic, complemented
151#14582970C2211yescharacteristic, complemented
152#14582970C2211yescharacteristic, complemented
153#14582969C2211yescharacteristic, complemented
154(C22⋊D43)⋊C8C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic, complemented
161#14582940C2211yescharacteristic, complemented
162#14582940C2211yescharacteristic, complemented
163#14582940C2211yescharacteristic, complemented
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic, complemented
167#14582938C2211yescharacteristic, complemented
168#14582937C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic
170#14582935C2211yescharacteristic, complemented
171#14582935C2211yescharacteristic, complemented
172#14582934C2211yescharacteristic
173#14582934C2211yescharacteristic, complemented
174#107×D43C2211yescharacteristic
175C2×#13063257C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#555C2211yescharacteristic, complemented
190C43×#500C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#482C2211yescharacteristic, complemented
195C43×#476C2211yescharacteristic, complemented
196C43×#476C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#466C2211yescharacteristic, complemented
199C4×D8×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#427C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063349—24no—
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214#13063331—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872—24no—
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063324C2311yescharacteristic
228#13063323—21no—
229#13063323—21no—
230#13063321—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063319—21no—
235#13063319—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063317—21no—
244#13063317C2311yescharacteristic
245#13063317C2311yescharacteristic
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063314—21no—
252#13063313—21no—
253#13063312—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063310—21no—
259#13063310—21no—
260#13063310D411yescharacteristic
261#13063309—21no—
262#13063308—21no—
263#13063308—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#13063306—21no—
273#13063305C2311yescharacteristic
274#13063305C2311yescharacteristic
275#13063304C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063303—21no—
278#13063303—21no—
279#13063303D411yescharacteristic
280#13063302—21no—
281#13063302—21no—
282#13063302D411yescharacteristic
283#13063301—21no—
284#13063301—21no—
285#13063301—21no—
286#13063300C2311yescharacteristic
287#13063300C2311yescharacteristic
288#13063299C2311yescharacteristic
289#13063299C2311yescharacteristic
290#13063298—21no—
291#13063298—21no—
292#13063298—21no—
293#13063298—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298D411yescharacteristic
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297D411yescharacteristic
303#13063296—21no—
304#13063296—21no—
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063295—21no—
310#13063295D411yescharacteristic
311#13063293—21no—
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43—21no—
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319#13063290C2311yescharacteristic
320C4×D172—21no—
321C4×D172—21no—
322C4×D172—21no—
323C4×D172C2311yescharacteristic
324C4×D172C2311yescharacteristic
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43C2311yescharacteristic
328D4×Dic43C2311yescharacteristic
329#13063287C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43—21no—
333C4×C22⋊D43—21no—
334C4×C22⋊D43C2311yescharacteristic
335C4×C22⋊D43C2311yescharacteristic
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345#13063284C2311yescharacteristic
346#13063284C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063283C2311yescharacteristic
353#13063283C2311yescharacteristic
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282C2311yescharacteristic
359#13063281—21no—
360#13063281—21no—
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364C2×C4⋊Dic43C2311yescharacteristic
365C2×C4⋊Dic43C2311yescharacteristic
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
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#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
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×D8×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#124×C43—21no—
444#124×C43—21no—
445#124×C43—21no—
446#124×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456#117×C43—21no—
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461#117×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
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43C2×D411yescharacteristic
514#10621902—82no—
515#10621900—22no—
516#10621900—22no—
517#10621900—82no—
518D4×D43—22no—
519D4×D43—22no—
520D4×D43—82no—
521#10621898—22no—
522#10621898—22no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172C2×D411yescharacteristic
526C2×D172C2×D411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×C4×D43—22no—
529C2×C4×D43—22no—
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×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548D8×C43—22no—
549C2×C8×C43—22no—
550C2×C8×C43—22no—
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43C2×D411yescharacteristic
575C22⋊C4×C43C2×D411yescharacteristic
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43—21no—
580C42×C43C2411yescharacteristic
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⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593#10621883—22no—
594#10621882—22no—
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)⋊C4C2×D411yescharacteristic
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
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
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—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872—22no—
675#10621872#4114yescomplemented
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43C22×D411yescharacteristic
682C23×C43C22×D411yescharacteristic
683C22×D43—22no—
684C22×D43—21no—
685C22×D43—41no—
686C22×D43—41no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692C22×D43C22×D411yescharacteristic
693Q8×C43—81no—
694Q8×C43—81no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—41no—
700D4×C43—81no—
701D4×C43—81no—
702D4×C43—81no—
703D4×C43—81no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—22no—
722C22⋊D43—22no—
723C22⋊D43—41no—
724C22⋊D43—41no—
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C2×Dic43—22no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—42no—
742C2×Dic43—81no—
743C2×Dic43—81no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751D172—22no—
752D172—21no—
753D172—21no—
754D172—41no—
755D172—42no—
756D172—81no—
757C4×D43—22no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—22no—
763C4×D43—42no—
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—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C8×C43C2×#4112yes—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786C43⋊C8C2×#4112yes—
787#61274—431nomaximal, Sylow
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43C23×D411yescharacteristic
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—82no—
813C2×D43—162no—
814C2×D43#54712yes—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43C22×#4111yescharacteristic
826C4×C43C2×2−1+411yescharacteristic
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838Dic43#54712yes—
839#3494—431no—
840#3493—431no—
841#3355—431no—
842#3355—431no—
843#3353—431no—
844#3353—431no—
845#3350—431no—
846#3350—431no—
847#3348—431no—
848#3348—431no—
849#3347—431no—
850#3347—431no—
851#3345—431no—
852#3345—431no—
853#3341—431no—
854#3341D4311yescharacteristic, complemented
855#3337—431no—
856#3337—431no—
857#3164—431no—
858#3098—431no—
859#3096—431no—
860#3091—431no—
861C2×#482—431no—
862#3084—431no—
863#3081—431no—
864#3062—431no—
865#3055—431no—
866#2946—431no—
867#2933—431no—
868#2912—431no—
869#2911—431no—
870C2×C43—41no—
871C2×C43—41no—
872C2×C43—81no—
873C2×C43—81no—
874C2×C43C2×#54711yescharacteristic
875C2×C43#358411yescharacteristic
876C2×C43#358511yescharacteristic
877D43—22no—
878D43—41no—
879D43—41no—
880D43—81no—
881C2×AGL(1,ℤ/8)—431no—
882C2×#131—431no—
883C22×M16—431no—
884#556—431no—
885#556—431no—
886#556—861no—
887#555—431no—
888#555—431no—
889#555—861no—
890#555C2×D4311yescharacteristic
891#555C2×D4311yescharacteristic, complemented
892#553—431no—
893#553—431no—
894#553—431no—
895#553—431no—
896#553—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—431no—
901#552—861no—
902#551—861no—
903#551—861no—
904#547—431no—
905#547—431no—
906#546—861no—
907#546—861no—
908#544—431no—
909#544—431no—
910#542—861no—
911#540—861no—
912#538—861no—
913#538—861no—
914#537—431no—
915#535—431no—
916#532—861no—
917#529—861no—
918#529—861no—
919#529—861no—
920#525—431no—
921#525—431no—
922C2×#121—431no—
923#520—431no—
924#520—431no—
925#520—431no—
926#518—431no—
927C2×#117—431no—
928C2×#117—431no—
929#501—431no—
930#501—431no—
931#501—431no—
932#501—431no—
933#500—431no—
934#500C2×D4311yescharacteristic, complemented
935#499—431no—
936#499—431no—
937#485—431no—
938#485—431no—
939#485—431no—
940#485—431no—
941#484—431no—
942#484—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482C2×D4311yescharacteristic
958#482C2×D4311yescharacteristic, complemented
959#482C2×D4311yescharacteristic, complemented
960#482C2×D4311yescharacteristic, complemented
961#481—431no—
962#481—431no—
963#481—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#480—431no—
969#479—431no—
970#479—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#476—431no—
978#476—431no—
979#476C2×D4311yescharacteristic, complemented
980#476C2×D4311yescharacteristic, complemented
981#475—431no—
982#475—431no—
983#474—431no—
984#474—431no—
985#469—431no—
986#469—431no—
987#469—431no—
988#469—431no—
989#468—431no—
990#468—431no—
991#468—431no—
992#468—431no—
993#466—431no—
994#466—431no—
995#466C2×D4311yescharacteristic
996#466C2×D4311yescharacteristic, complemented
997#465—431no—
998#465—431no—
999#465—431no—
1000#465—431no—
1001#442—431no—
1002#442—431no—
1003#440—431no—
1004#440—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×D8—431no—
1008C4×D8C2×D4311yescharacteristic, complemented
1009#436—431no—
1010#436—431no—
1011#435—431no—
1012#435—431no—
1013#435—431no—
1014#435—431no—
1015C8×D4—431no—
1016C8×D4C2×D4311yescharacteristic, complemented
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#428—431no—
1030#427—431no—
1031#427—431no—
1032#427—431no—
1033#427—431no—
1034#427—431no—
1035#427—431no—
1036#427C2×D4311yescharacteristic, complemented
1037#427C2×D4311yescharacteristic, complemented
1038C2×#107—431no—
1039C2×#106—431no—
1040C2×#106—431no—
1041C2×#106—431no—
1042#424—431no—
1043#418—431no—
1044#417—431no—
1045#416—431no—
1046#416—431no—
1047C2×#102—431no—
1048C2×#102—431no—
1049#408—431no—
1050C2×C22⋊C8—431no—
1051#405—431no—
1052C43#6127411yescharacteristic, complemented, Sylow
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—861no—
1056C2×#41—861no—
1057C22×D4—431no—
1058C22×D4—861no—
1059C23×C4—431no—
1060AGL(1,ℤ/8)—864no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×D8—431no—
1064C2×D8C22×D4311yescharacteristic
1065#131—864no—
1066C2×M16—431no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C2×M16—431no—
1072C2×M16—864no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8—431no—
1077C22×C8C22×D4311yescharacteristic
1078C22×C8C22×D4311yescharacteristic
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8C22×D4311yescharacteristic
1084C4⋊Q8C22×D4311yescharacteristic
1085#127—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#125—431no—
1099#125—431no—
1100#125—431no—
1101#125—431no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—861no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#123—431no—
1118#123—431no—
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—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145#121—21no—
1146#121—21no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
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#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121C22×D4311yescharacteristic
1171#121C22×D4311yescharacteristic
1172#121C22×D4311yescharacteristic
1173#121C22×D4311yescharacteristic
1174#120—431no—
1175#120—431no—
1176#120—861no—
1177#120—861no—
1178#120—861no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
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×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4C22×D4311yescharacteristic
1211C4×D4C22×D4311yescharacteristic
1212C4×D4C22×D4311yescharacteristic
1213#117—21no—
1214#117—21no—
1215#117—431no—
1216#117—431no—
1217#117—431no—
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—431no—
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117C22×D4311yescharacteristic
1235#117C22×D4311yescharacteristic
1236#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—861no—
1248C2×C22⋊C4—861no—
1249C2×C22⋊C4—861no—
1250C2×C22⋊C4—861no—
1251C2×C22⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C42—861no—
1254C2×C42—861no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107—431no—
1268#107C22×D4311yescharacteristic
1269#107C22×D4311yescharacteristic
1270#107C22×D4311yescharacteristic
1271#107C22×D4311yescharacteristic
1272#107C22×D4311yescharacteristic
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#106—431no—
1285#106—431no—
1286#106—431no—
1287#106C22×D4311yescharacteristic
1288#106C22×D4311yescharacteristic
1289#106C22×D4311yescharacteristic
1290#106C22×D4311yescharacteristic
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8—431no—
1294C4⋊C8C22×D4311yescharacteristic
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—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—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102C22×D4311yescharacteristic
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329C4×C8—431no—
1330C4×C8C22×D4311yescharacteristic
1331C24—431no—
1332C24—861no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—3442no—
1338#41—3442no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8—861no—
1345C2×D4—21no—
1346C2×D4—21no—
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—862no—
1359C2×D4—862no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—3442no—
1369C2×D4D4×D4311yescharacteristic
1370C2×D4C23×D4311yescharacteristic
1371C2×D4C23×D4311yescharacteristic
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—862no—
1381C22×C4—862no—
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×C4C23×D4311yescharacteristic
1397C22×C4C23×D4311yescharacteristic
1398SD16—862no—
1399SD16—862no—
1400D8—22no—
1401D8—862no—
1402M16—434no—
1403M16—862no—
1404M16—862no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408C2×C8—22no—
1409C2×C8—22no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
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—431no—
1434C4⋊C4—431no—
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⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4D4×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C4⋊C4C23×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
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⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4D4×D4311yescharacteristic
1511C22⋊C4D4×D4311yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—431no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42C23×D4311yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—431no—
1532C23—431no—
1533C23—431no—
1534C23—862no—
1535C23—861no—
1536C23—3441no—
1537C23—3441no—
1538C23—1721no—
1539C23—1721no—
1540C23—1722no—
1541C23C2×D4×D4311yescharacteristic
1542C23C2×D4×D4311yescharacteristic
1543Q8—81no—
1544Q8—81no—
1545Q8—862no—
1546Q8—861no—
1547Q8—861no—
1548Q8—3441no—
1549Q8—3441no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—41no—
1555D4—81no—
1556D4—81no—
1557D4—81no—
1558D4—81no—
1559D4—862no—
1560D4—862no—
1561D4—862no—
1562D4—861no—
1563D4—861no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—1721no—
1571D4—1722no—
1572D4—1722no—
1573D4—1721no—
1574D4—1721no—
1575D4—1722no—
1576D4—1722no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—431no—
1590C2×C4—432no—
1591C2×C4—432no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—862no—
1597C2×C4—862no—
1598C2×C4—862no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
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—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
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—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—432no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—861no—
1656C22—861no—
1657C22—861no—
1658C22—3442no—
1659C22—1721no—
1660C22—1721no—
1661C22—1721no—
1662C22—6882no—
1663C22C22×D4×D4311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—432no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—861no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4—1721no—
1685C4—1721no—
1686C4C2×#41×D4311yescharacteristic
1687C42−1+4×D4311yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—81no—
1691C2—81no—
1692C2—862no—
1693C2—3441no—
1694C2—1721no—
1695C2—1721no—
1696C2#547×D4311yescharacteristic
1697C2#1914936411yescharacteristic
1698C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3341C2
socleC22×C43C23×D4
hypercenter#3341D43
hypocenterC43#61274
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3341

Complements

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

NH ≅ G/Ntype
1. #19148329C2semidirect
2. #19148306C2semidirect
3. #19147202C2semidirect
4. #19147194C2semidirect
5. #19147178C2semidirect
6. #19147177C2semidirect
7. #19147147C2semidirect
8. #19147136C2semidirect
9. #19147110C2semidirect
10. #19147106C2semidirect
11. #19147101C2semidirect
12. #19147095C2semidirect
13. #19147072C2semidirect
14. #19147071C2semidirect
15. #19147012C2semidirect
16. #19146976C2semidirect
17. #19146967C2semidirect
18. #19145128C2semidirect
19. #19144570C2semidirect
20. #19144550C2semidirect
21. #19144507C2semidirect
22. #482×D43C2semidirect
23. #19144452C2semidirect
24. #19144421C2semidirect
25. #19144274C2semidirect
26. #19144211C2semidirect
27. #19143420C2semidirect
28. #19143315C2semidirect
29. #19143187C2semidirect
30. #19143183C2semidirect
31. C43×#3341C2semidirect
35. #14583623C22semidirect
37. #14583617C22semidirect
38. #14583613C22semidirect
41. #14583601C22semidirect
43. #14583599C22semidirect
48. #14583589C22semidirect
49. #14583588C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583303C22semidirect
83. #14583301C22semidirect
84. #14583300C22semidirect
85. #14583243C22semidirect
86. #14583241C22semidirect
87. #14583240C22semidirect
88. #14583240C22semidirect
89. #14583236C22semidirect
90. #14583236C22semidirect
91. #14583235C22semidirect
92. #14583231C22semidirect
94. #14583226C22semidirect
98. #14583223C22semidirect
101. #14583221C22semidirect
102. #14583221C22semidirect
104. #14583220C22semidirect
105. #14583219C22semidirect
106. #14583216C22semidirect
107. #14583215C22semidirect
108. #14583213C22semidirect
109. #14583211C22semidirect
110. #14583211C22semidirect
111. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583209C22semidirect
114. #14583207C22semidirect
115. #14583201C22semidirect
116. #14583200C22semidirect
117. #14583199C22semidirect
118. #14583199C22semidirect
119. #14583198C22semidirect
120. #14583197C22semidirect
121. #14583188C22semidirect
122. #14583187C22semidirect
123. #14583183C22semidirect
124. #14583181C22semidirect
125. #14583177C22semidirect
126. #14583176C22semidirect
128. #14583150C22semidirect
130. #14583149C22semidirect
132. #14583146C22semidirect
134. #14583143C22semidirect
135. #14583134C22semidirect
138. #14583128C22semidirect
139. #14583127C22semidirect
141. #14583011C22semidirect
142. #14583009C22semidirect
143. #14582999C22semidirect
144. #14582998C22semidirect
145. #14582990C22semidirect
146. C4×#10621873C22semidirect
147. #14582979C22semidirect
148. #14582978C22semidirect
149. #14582974C22semidirect
150. #14582971C22semidirect
151. #14582970C22semidirect
152. #14582970C22semidirect
153. #14582969C22semidirect
154. (C22⋊D43)⋊C8C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
160. #14582940C22semidirect
161. #14582940C22semidirect
162. #14582940C22semidirect
163. #14582940C22semidirect
166. #14582938C22semidirect
167. #14582938C22semidirect
168. #14582937C22semidirect
170. #14582935C22semidirect
171. #14582935C22semidirect
173. #14582934C22semidirect
175. C2×#13063257C22semidirect
177. #106×D43C22semidirect
189. C43×#555C22semidirect
190. C43×#500C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#482C22semidirect
195. C43×#476C22semidirect
196. C43×#476C22semidirect
198. C43×#466C22semidirect
199. C4×D8×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#427C22semidirect
202. C43×#427C22semidirect
675. #10621872#41semidirect
854. #3341D43semidirect
891. #555C2×D43semidirect
934. #500C2×D43semidirect
958. #482C2×D43semidirect
959. #482C2×D43semidirect
960. #482C2×D43semidirect
979. #476C2×D43semidirect
980. #476C2×D43semidirect
996. #466C2×D43semidirect
1008. C4×D8C2×D43semidirect
1016. C8×D4C2×D43semidirect
1036. #427C2×D43semidirect
1037. #427C2×D43semidirect
1052. C43#61274semidirect

Maximal subgroups

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

subgroupindex
#191483292
#191483062
#191472022
#191471942
#191471782
#191471772
#191471472
#191471362
#191471102
#191471062
#191471012
#191470952
#191470722
#191470712
#191470122
#191469762
#191469672
#191451282
#191445702
#191445502
#191445072
#482×D432
#191444522
#191444212
#191442742
#191442112
#191434202
#191433152
#191431872
#191431832
C43×#33412
#6127443