Finite Group Databasebeta

← #25973727

Subgroups — #25973727

Order 11008.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D43C211yesmaximal, characteristic, complemented
2#19148079C211yesmaximal, characteristic
3#19146865C211yesmaximal, characteristic, complemented
4#19146857C211yesmaximal, characteristic, complemented
5#19146811C211yesmaximal, characteristic, complemented
6#19146724C211yesmaximal, characteristic, complemented
7#19146716C211yesmaximal, characteristic, complemented
8#19146692C211yesmaximal, characteristic, complemented
9#19146684C211yesmaximal, characteristic, complemented
10#19146649C211yesmaximal, characteristic, complemented
11#19146641C211yesmaximal, characteristic, complemented
12#19146617C211yesmaximal, characteristic, complemented
13#19146609C211yesmaximal, characteristic, complemented
14#19146489C211yesmaximal, characteristic, complemented
15#19146481C211yesmaximal, characteristic, complemented
16#19146435C211yesmaximal, characteristic, complemented
17#19146427C211yesmaximal, characteristic, complemented
18#19144992C211yesmaximal, characteristic, complemented
19#19144527C211yesmaximal, characteristic, complemented
20#19144517C211yesmaximal, characteristic, complemented
21#19144412C211yesmaximal, characteristic, complemented
22#19144224C211yesmaximal, characteristic, complemented
23#19144220C211yesmaximal, characteristic, complemented
24#19144065C211yesmaximal, characteristic, complemented
25#19143852C211yesmaximal, characteristic, complemented
26#19143850C211yesmaximal, characteristic, complemented
27C4×#13063354C211yesmaximal, characteristic, complemented
28#19143331C211yesmaximal, characteristic, complemented
29#19143109C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3323C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic
36C2×#13063354C2211yescharacteristic, complemented
37C2×M16×D43C2211yescharacteristic, complemented
38C2×M16×D43C2211yescharacteristic, complemented
39#14583591C2211yescharacteristic, complemented
40#14583590C2211yescharacteristic, complemented
41#14583589C2211yescharacteristic, complemented
42#14583588C2211yescharacteristic
43#14583587C2211yescharacteristic, complemented
44#14583586—21no—
45#14583585—21no—
46#14583584C2211yescharacteristic, complemented
47#14583583C2211yescharacteristic
48#14583582—21no—
49#14583581—21no—
50#14583567C2211yescharacteristic
51#14583562C2211yescharacteristic
52#14583558C2211yescharacteristic
53#14583557C2211yescharacteristic
54#14583548C2211yescharacteristic
55#14583547—21no—
56#14583544C2211yescharacteristic
57#14583539—21no—
58#14583538—21no—
59D4×C22⋊D43C2211yescharacteristic
60#14583531—21no—
61#14583448C2211yescharacteristic
62#14583444—21no—
63#126×D43—21no—
64#125×D43—21no—
65#125×D43C2211yescharacteristic, complemented
66#14583412C2211yescharacteristic
67#14583409C2211yescharacteristic
68#14583407—21no—
69#14583405—21no—
70#123×D43—21no—
71C22⋊Q8×D43C2211yescharacteristic, complemented
72C22⋊Q8×D43C2211yescharacteristic, complemented
73C4×#10621900C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic, complemented
75C2×(C22⋊D43)⋊C4—21no—
76C4×D4×D43C2211yescharacteristic
77#117×D43—21no—
78#117×D43C2211yescharacteristic, complemented
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583266C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic, complemented
83#14583262C2211yescharacteristic, complemented
84#14583256C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583253C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583238C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583234C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic, complemented
97#14583223C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583209C2211yescharacteristic, complemented
102#14583207C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583203C2211yescharacteristic, complemented
105#14583201C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583197C2211yescharacteristic, complemented
108#14583157C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583147C2211yescharacteristic, complemented
112#14583145C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583141C2211yescharacteristic, complemented
115#14583139C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583137C2211yescharacteristic, complemented
118#14583131C2211yescharacteristic, complemented
119#14583129C2211yescharacteristic, complemented
120#14583127C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583118C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583062C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583059C2211yescharacteristic, complemented
134#14583058C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583057C2211yescharacteristic, complemented
137#14583056C2211yescharacteristic, complemented
138#14583054C2211yescharacteristic, complemented
139#14583053C2211yescharacteristic, complemented
140#14583051C2211yescharacteristic, complemented
141#14583050C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583005C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic, complemented
146#14582996C2211yescharacteristic, complemented
147C4×Dic172C2211yescharacteristic, complemented
148C4×#10621885C2211yescharacteristic, complemented
149C4×#10621883C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic, complemented
151#14582973C2211yescharacteristic
152#14582973C2211yescharacteristic, complemented
153#14582968C2211yescharacteristic
154#14582968C2211yescharacteristic, complemented
155C8×D172C2211yescharacteristic, complemented
156#14582964C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582938C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic, complemented
160#14582921C2211yescharacteristic, complemented
161#14582909C2211yescharacteristic, complemented
162#14582907C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic, complemented
164#14582904C2211yescharacteristic, complemented
165#14582901C2211yescharacteristic, complemented
166#14582900C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic, complemented
170#14582898C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582897C2211yescharacteristic
174#14582897C2211yescharacteristic, complemented
175#14582897C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic, complemented
177#14582892C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900—24no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900—42no—
211C2×#10621900C2311yescharacteristic
212C2×#10621900C2311yescharacteristic
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215#41×D43—24no—
216#41×D43—42no—
217C22×Dic86C2311yescharacteristic
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C2×D4×D43—21no—
223C2×D4×D43D411yescharacteristic
224C2×D4×D43C2311yescharacteristic
225C23×Dic43—21no—
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230#13063357—42no—
231#13063354—24no—
232#13063354—42no—
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621873C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242C2×#10621877C2311yescharacteristic
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248M16×D43—42no—
249M16×D43—42no—
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063324—21no—
255#13063323C2311yescharacteristic
256#13063321—21no—
257#13063321C2311yescharacteristic
258#13063320—21no—
259#13063320—21no—
260#13063320—21no—
261#13063319—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063317—21no—
266#13063317C2311yescharacteristic
267#13063316—21no—
268#13063316—21no—
269#13063316C2311yescharacteristic
270#13063316C2311yescharacteristic
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063315—21no—
276#13063315—21no—
277#13063313C2311yescharacteristic
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063309—21no—
284#13063309—21no—
285#13063308—21no—
286#13063308—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063306—21no—
291#13063306—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063304C2311yescharacteristic
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301C2311yescharacteristic
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299C2311yescharacteristic
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063295—21no—
323#13063294—21no—
324#13063293—21no—
325#13063293—21no—
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43—21no—
335D4×Dic43D411yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
338#13063287D411yescharacteristic
339C4×C22⋊D43—21no—
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342(C22⋊D43)⋊C4—21no—
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4D411yescharacteristic
352(C22⋊D43)⋊C4D411yescharacteristic
353#13063284—21no—
354#13063284C2311yescharacteristic
355#13063283—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×Dic43⋊C4—21no—
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43D411yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C4⋊C4×D43C2311yescharacteristic
383C2×(C2×D43)⋊C4—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43D411yescharacteristic
388C22⋊C4×D43D411yescharacteristic
389C2×C4×Dic43—21no—
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442#13063235C2311yescharacteristic
443C4×C43⋊C8C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×D4×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451#126×C43—21no—
452#125×C43—21no—
453#125×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#120×C43—21no—
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467#117×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C24×C43—21no—
488C23×D43—21no—
489C23×D43C2×D411yescharacteristic
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—41no—
493C2×Q8×C43C2411yescharacteristic
494C2×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—22no—
499C2×D4×C43—41no—
500C2×D4×C43C2×D411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—44no—
519C2×C22⋊D43—44no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—44no—
530C22×Dic43C2×D411yescharacteristic
531C22×Dic43C2×D411yescharacteristic
532#10621902—22no—
533#10621902—22no—
534Q8×D43—22no—
535Q8×D43—22no—
536Q8×D43—22no—
537Q8×D43—41no—
538#10621900—22no—
539#10621900—22no—
540#10621900—22no—
541#10621900—22no—
542#10621900—22no—
543#10621900—41no—
544#10621900—41no—
545#10621900—44no—
546#10621900—44no—
547#10621900—44no—
548#10621900#4114yes—
549D4×D43—22no—
550D4×D43—42no—
551D4×D43—44no—
552D4×D43—41no—
553#10621898—22no—
554#10621898—41no—
555#10621898—44no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172C2×D411yescharacteristic
559C2×D172C2411yescharacteristic
560C2×C4×D43—22no—
561C2×C4×D43—22no—
562C2×C4×D43—22no—
563C2×C4×D43—22no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—44no—
574C2×C4×D43—44no—
575C2×C4×D43C2×D411yescharacteristic
576C2×C4×D43C2×D411yescharacteristic
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×C4×D43C2411yescharacteristic
583C2×C4×D43C2411yescharacteristic
584C2×Dic86—22no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—41no—
589C2×Dic86C2411yescharacteristic
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592Q16×C43—41no—
593SD16×C43—22no—
594SD16×C43—41no—
595M16×C43—41no—
596M16×C43—41no—
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43C2×D411yescharacteristic
609C4⋊C4×C43C2411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43C2×D411yescharacteristic
622C22⋊C4×C43C2×D411yescharacteristic
623C42×C43—21no—
624C42×C43—21no—
625C42×C43C2411yescharacteristic
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43C2×D411yescharacteristic
633C22⋊Dic43C2×D411yescharacteristic
634#10621885—22no—
635#10621885—41no—
636#10621885—41no—
637#10621884—41no—
638#10621883—22no—
639#10621883—41no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655(C2×D43)⋊C4C2×D411yescharacteristic
656(C2×D43)⋊C4C2×D411yescharacteristic
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43—21no—
662C4⋊Dic43—21no—
663C4⋊Dic43—21no—
664C4⋊Dic43C2×D411yescharacteristic
665C4⋊Dic43C2411yescharacteristic
666C4⋊Dic43C2411yescharacteristic
667C4⋊Dic43C2411yescharacteristic
668C4⋊Dic43C2411yescharacteristic
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4C2×D411yescharacteristic
691Dic43⋊C4C2×D411yescharacteristic
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705#10621877—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—22no—
711Dic172—41no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—22no—
716#10621872—22no—
717C8×D43—41no—
718C8×D43—41no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—42no—
724C23×C43—42no—
725C23×C43—81no—
726C23×C43C22×D411yescharacteristic
727C23×C43C22×D411yescharacteristic
728C22×D43—22no—
729C22×D43—22no—
730C22×D43—22no—
731C22×D43—21no—
732C22×D43—41no—
733C22×D43—41no—
734C22×D43—41no—
735C22×D43—42no—
736C22×D43—42no—
737C22×D43—81no—
738C22×D43C22×D411yescharacteristic
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741Q8×C43—21no—
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43—21no—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—41no—
749D4×C43—42no—
750D4×C43—42no—
751D4×C43—81no—
752D4×C43C2×#4112yes—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—42no—
764C2×C4×C43—42no—
765C2×C4×C43—81no—
766C2×C4×C43C22×D411yescharacteristic
767C2×C4×C43C22×D411yescharacteristic
768C2×C4×C43C22×D411yescharacteristic
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C2511yescharacteristic
771C22⋊D43—24no—
772C22⋊D43—22no—
773C22⋊D43—41no—
774C22⋊D43—42no—
775C22⋊D43—42no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—81no—
783C2×Dic43—21no—
784C2×Dic43—22no—
785C2×Dic43—22no—
786C2×Dic43—24no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—42no—
794C2×Dic43—42no—
795C2×Dic43—42no—
796C2×Dic43—42no—
797C2×Dic43—42no—
798C2×Dic43—42no—
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804D172—22no—
805D172—21no—
806D172—21no—
807D172—42no—
808D172—81no—
809C4×D43—22no—
810C4×D43—22no—
811C4×D43—21no—
812C4×D43—21no—
813C4×D43—21no—
814C4×D43—21no—
815C4×D43—22no—
816C4×D43—22no—
817C4×D43—41no—
818C4×D43—41no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43C2×#4112yes—
829C4×D43H(5,𝔽2)12yes—
830Dic86—21no—
831Dic86—21no—
832Dic86—21no—
833Dic86—21no—
834Dic86—21no—
835Dic86—42no—
836Dic86—42no—
837Dic86—42no—
838Dic86C2×#4112yes—
839C8×C43—21no—
840C8×C43—21no—
841C8×C43—21no—
842C8×C43—21no—
843C43⋊C8—21no—
844C43⋊C8—21no—
845C43⋊C8—21no—
846C43⋊C8—21no—
847#61163—431nomaximal, Sylow
848C22×C43—21no—
849C22×C43—21no—
850C22×C43—21no—
851C22×C43—21no—
852C22×C43—22no—
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43—84no—
861C22×C43C23×D411yescharacteristic
862C2×D43—21no—
863C2×D43—21no—
864C2×D43—21no—
865C2×D43—21no—
866C2×D43—21no—
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—44no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—41no—
873C2×D43—82no—
874C2×D43—84no—
875C2×D43#54612yes—
876C2×D43#57512yes—
877C4×C43—21no—
878C4×C43—21no—
879C4×C43—21no—
880C4×C43—21no—
881C4×C43—41no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43C22×#4111yescharacteristic
888C4×C43C2×H(5,𝔽2)11yescharacteristic
889Dic43—21no—
890Dic43—22no—
891Dic43—21no—
892Dic43—21no—
893Dic43—21no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43—41no—
900Dic43#54612yes—
901C2×#552—431no—
902D4×#41—431no—
903#3327—431no—
904#3327—431no—
905#3323—431no—
906#3323D4311yescharacteristic, complemented
907#3317—431no—
908#3317—431no—
909#3315—431no—
910#3315—431no—
911#3312—431no—
912#3312—431no—
913#3310—431no—
914#3310—431no—
915#3300—431no—
916#3300—431no—
917#3296—431no—
918#3296—431no—
919#3142—431no—
920#3093—431no—
921#3092—431no—
922#3080—431no—
923#3056—431no—
924#3056—431no—
925#3037—431no—
926#3007—431no—
927#3007—431no—
928C4×#137—431no—
929D4×M16—431no—
930#2896—431no—
931C2×#417—431no—
932C2×C43—41no—
933C2×C43—41no—
934C2×C43—42no—
935C2×C43—81no—
936C2×C43C2×#54611yescharacteristic
937C2×C43C2×#57511yescharacteristic
938C2×C43#358611yescharacteristic
939D43—22no—
940D43—22no—
941D43—41no—
942D43—81no—
943C22×#41—431no—
944C22×#41—431no—
945C2×#137—431no—
946C2×#137—431no—
947C2×#137—431no—
948C22×M16—431no—
949C22×M16—431no—
950#552—431no—
951#552—431no—
952#552—431no—
953#552—431no—
954#552—431no—
955#552—431no—
956#552—431no—
957#552—861no—
958#552—861no—
959#552—861no—
960#552—861no—
961#552C2×D4311yescharacteristic, complemented
962#550—431no—
963D4×Q8—431no—
964#548—431no—
965#548—431no—
966#547—431no—
967#547—861no—
968#546—431no—
969#546—861no—
970#546—861no—
971#546C2×D4311yescharacteristic
972D42—431no—
973D42—861no—
974#532—431no—
975#532—861no—
976C2×#126—861no—
977C2×#125—431no—
978C2×#125—861no—
979#525—431no—
980#525—431no—
981#525—861no—
982#525—861no—
983C2×#123—861no—
984C2×C22⋊Q8—431no—
985C2×C22⋊Q8—431no—
986C4×#41—431no—
987C2×C4×Q8—431no—
988C2×C4×D4—431no—
989C2×C4×D4—861no—
990C2×#117—431no—
991C2×#117—861no—
992C22×C4⋊C4—431no—
993#491—431no—
994#491—431no—
995#490—431no—
996#490—431no—
997#488—431no—
998#488—431no—
999#488—431no—
1000#488C2×D4311yescharacteristic, complemented
1001#485—431no—
1002#485—431no—
1003#485—431no—
1004#485C2×D4311yescharacteristic, complemented
1005#484—431no—
1006#484—431no—
1007#483—431no—
1008#483—431no—
1009#482—431no—
1010#482—431no—
1011#482—431no—
1012#482—431no—
1013#481—431no—
1014#481C2×D4311yescharacteristic, complemented
1015#480—431no—
1016#480—431no—
1017#479—431no—
1018#479—431no—
1019#479—431no—
1020#479—431no—
1021#478—431no—
1022#478—431no—
1023#478—431no—
1024#478C2×D4311yescharacteristic, complemented
1025#470—431no—
1026#470—431no—
1027#470—431no—
1028#470C2×D4311yescharacteristic, complemented
1029#468—431no—
1030#468—431no—
1031#468—431no—
1032#468C2×D4311yescharacteristic, complemented
1033#467—431no—
1034#467—431no—
1035#467—431no—
1036#467—431no—
1037#465—431no—
1038#465—431no—
1039#465—431no—
1040#465—431no—
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464C2×D4311yescharacteristic, complemented
1045#462—431no—
1046#462—431no—
1047#460—431no—
1048#460—431no—
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#452—431no—
1053#452—431no—
1054#452—431no—
1055#452—431no—
1056#452C2×D4311yescharacteristic, complemented
1057#451—431no—
1058#451—431no—
1059#451—431no—
1060#451—431no—
1061#450—431no—
1062#450—431no—
1063#450—431no—
1064#450C2×D4311yescharacteristic, complemented
1065#441—431no—
1066#441—431no—
1067#440—431no—
1068#440—431no—
1069C4×Q16—431no—
1070C4×Q16—431no—
1071C4×SD16—431no—
1072C4×SD16C2×D4311yescharacteristic, complemented
1073#436—431no—
1074#436C2×D4311yescharacteristic, complemented
1075#435—431no—
1076#435—431no—
1077#435—431no—
1078#435—431no—
1079C8×D4—431no—
1080C8×D4—431no—
1081#428—431no—
1082#428—431no—
1083#428—431no—
1084#423—431no—
1085#419—431no—
1086#419—431no—
1087#419—431no—
1088#418—431no—
1089#418C2×D4311yescharacteristic, complemented
1090#417—431no—
1091#417—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#417—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417C2×D4311yescharacteristic, complemented
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106#416—431no—
1107C2×#103—431no—
1108C2×#103—431no—
1109C2×#102—431no—
1110C2×#102—431no—
1111#407—431no—
1112#407—431no—
1113C4×M16—431no—
1114C43#6116311yescharacteristic, complemented, Sylow
1115C2×#41—431no—
1116C2×#41—431no—
1117C2×#41—431no—
1118C2×#41—431no—
1119C2×#41—431no—
1120C2×#41—431no—
1121C2×#41—861no—
1122C2×#41—861no—
1123C2×#41—861no—
1124C2×#41—861no—
1125C2×#41—864no—
1126C2×#41—864no—
1127C2×#41—1722no—
1128C2×#41—1722no—
1129C2×#41C22×D4311yescharacteristic
1130C22×Q8—431no—
1131C22×Q8—431no—
1132C22×Q8—431no—
1133C22×D4—431no—
1134C22×D4—431no—
1135C22×D4—861no—
1136C22×D4—861no—
1137C22×D4—861no—
1138C22×D4C22×D4311yescharacteristic
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—861no—
1142C23×C4—861no—
1143C23×C4—861no—
1144#137—864no—
1145#137—1722no—
1146#137—1722no—
1147C2×Q16—431no—
1148C2×Q16—431no—
1149C2×Q16—431no—
1150C2×Q16—431no—
1151C2×Q16—431no—
1152C2×Q16C22×D4311yescharacteristic
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16C22×D4311yescharacteristic
1158C2×SD16C22×D4311yescharacteristic
1159C2×M16—431no—
1160C2×M16—431no—
1161C2×M16—431no—
1162C2×M16—431no—
1163C2×M16—431no—
1164C2×M16—431no—
1165C2×M16—1722no—
1166C2×M16—1722no—
1167C2×M16C22×D4311yescharacteristic
1168C2×M16C22×D4311yescharacteristic
1169C22×C8—431no—
1170C22×C8—431no—
1171C22×C8—431no—
1172C22×C8—431no—
1173C4⋊Q8—431no—
1174C4⋊Q8—861no—
1175#127—431no—
1176#127—861no—
1177#126—21no—
1178#126—861no—
1179#126—861no—
1180#126—861no—
1181#126—861no—
1182#126—861no—
1183#126—861no—
1184#126—861no—
1185#125—21no—
1186#125—431no—
1187#125—431no—
1188#125—431no—
1189#125—861no—
1190#125—861no—
1191#125—861no—
1192#125—861no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#125C22×D4311yescharacteristic
1199#124—431no—
1200#124—861no—
1201#124—861no—
1202#124C22×D4311yescharacteristic
1203#123—21no—
1204#123—21no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217C22⋊Q8—431no—
1218C22⋊Q8—431no—
1219C22⋊Q8—431no—
1220C22⋊Q8—431no—
1221C22⋊Q8—431no—
1222C22⋊Q8—431no—
1223C22⋊Q8—431no—
1224C22⋊Q8—431no—
1225C22⋊Q8—431no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8C22×D4311yescharacteristic
1235C22⋊Q8C22×D4311yescharacteristic
1236C22⋊Q8C22×D4311yescharacteristic
1237#121—21no—
1238#121—431no—
1239#121—431no—
1240#121—431no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121C22×D4311yescharacteristic
1251#120—21no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257C4×Q8—431no—
1258C4×Q8—431no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—861no—
1263C4×Q8—861no—
1264C4×Q8C22×D4311yescharacteristic
1265C4×D4—431no—
1266C4×D4—431no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—861no—
1274C4×D4—861no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4C22×D4311yescharacteristic
1286C4×D4C22×D4311yescharacteristic
1287#117—21no—
1288#117—431no—
1289#117—431no—
1290#117—431no—
1291#117—431no—
1292#117—861no—
1293#117—861no—
1294#117—861no—
1295#117—861no—
1296#117—861no—
1297#117—861no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117C22×D4311yescharacteristic
1303C2×C4⋊C4—431no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—431no—
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4—861no—
1317C2×C4⋊C4—861no—
1318C2×C4⋊C4—861no—
1319C2×C4⋊C4C22×D4311yescharacteristic
1320C2×C22⋊C4—21no—
1321C2×C22⋊C4—431no—
1322C2×C22⋊C4—431no—
1323C2×C22⋊C4—861no—
1324C2×C22⋊C4—861no—
1325C2×C22⋊C4—861no—
1326C2×C22⋊C4—861no—
1327C2×C42—431no—
1328C2×C42—861no—
1329C2×C42—861no—
1330C2×C42—861no—
1331#107—431no—
1332#107—431no—
1333#107—431no—
1334#107—431no—
1335#107—431no—
1336#107C22×D4311yescharacteristic
1337#106—431no—
1338#106—431no—
1339#106—431no—
1340#106—431no—
1341#106C22×D4311yescharacteristic
1342#106C22×D4311yescharacteristic
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8—431no—
1346C4⋊C8C22×D4311yescharacteristic
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103C22×D4311yescharacteristic
1366#103C22×D4311yescharacteristic
1367#103C22×D4311yescharacteristic
1368#103C22×D4311yescharacteristic
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102C22×D4311yescharacteristic
1382#102C22×D4311yescharacteristic
1383#102C22×D4311yescharacteristic
1384#102C22×D4311yescharacteristic
1385#102C22×D4311yescharacteristic
1386#102C22×D4311yescharacteristic
1387C22⋊C8—431no—
1388C22⋊C8—431no—
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8—431no—
1393C22⋊C8C22×D4311yescharacteristic
1394C22⋊C8C22×D4311yescharacteristic
1395#97—431no—
1396#97—431no—
1397C4×C8—431no—
1398C4×C8C22×D4311yescharacteristic
1399C24—21no—
1400C24—431no—
1401C24—431no—
1402C24—861no—
1403#41—22no—
1404#41—41no—
1405#41—434no—
1406#41—862no—
1407#41—862no—
1408#41—862no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—1721no—
1415#41—1724no—
1416#41—1724no—
1417#41—1724no—
1418#41—1721no—
1419#41—1721no—
1420#41—1724no—
1421C2×Q8—431no—
1422C2×Q8—431no—
1423C2×Q8—431no—
1424C2×Q8—861no—
1425C2×Q8—861no—
1426C2×Q8—862no—
1427C2×Q8—862no—
1428C2×Q8—862no—
1429C2×Q8—861no—
1430C2×Q8—862no—
1431C2×Q8—1721no—
1432C2×Q8—1721no—
1433C2×Q8C23×D4311yescharacteristic
1434C2×Q8C23×D4311yescharacteristic
1435C2×D4—22no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—41no—
1440C2×D4—431no—
1441C2×D4—431no—
1442C2×D4—431no—
1443C2×D4—431no—
1444C2×D4—861no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—861no—
1449C2×D4—861no—
1450C2×D4—862no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—1721no—
1458C2×D4—1722no—
1459C2×D4—1724no—
1460C2×D4—1724no—
1461C2×D4—1724no—
1462C2×D4D4×D4311yescharacteristic
1463C2×D4C23×D4311yescharacteristic
1464C2×D4C23×D4311yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—431no—
1477C22×C4—431no—
1478C22×C4—431no—
1479C22×C4—862no—
1480C22×C4—862no—
1481C22×C4—862no—
1482C22×C4—862no—
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—1724no—
1500C22×C4—1724no—
1501C22×C4—1724no—
1502C22×C4C23×D4311yescharacteristic
1503C22×C4C23×D4311yescharacteristic
1504Q16—41no—
1505Q16—862no—
1506Q16—862no—
1507Q16—1721no—
1508Q16—1721no—
1509Q16—1721no—
1510SD16—22no—
1511SD16—41no—
1512SD16—862no—
1513SD16—1721no—
1514SD16—1721no—
1515SD16—1721no—
1516M16—41no—
1517M16—41no—
1518M16—862no—
1519M16—862no—
1520M16—862no—
1521M16—862no—
1522M16—1721no—
1523M16—1721no—
1524C2×C8—431no—
1525C2×C8—431no—
1526C2×C8—431no—
1527C2×C8—431no—
1528C2×C8—1721no—
1529C2×C8—1721no—
1530C2×C8—1721no—
1531C2×C8—1721no—
1532C2×C8C23×D4311yescharacteristic
1533C2×C8C23×D4311yescharacteristic
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—431no—
1544C4⋊C4—431no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—431no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4D4×D4311yescharacteristic
1579C4⋊C4C23×D4311yescharacteristic
1580C4⋊C4C23×D4311yescharacteristic
1581C4⋊C4C23×D4311yescharacteristic
1582C4⋊C4C23×D4311yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—431no—
1592C22⋊C4—431no—
1593C22⋊C4—431no—
1594C22⋊C4—431no—
1595C22⋊C4—431no—
1596C22⋊C4—431no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4D4×D4311yescharacteristic
1617C22⋊C4D4×D4311yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—431no—
1621C42—431no—
1622C42—431no—
1623C42—861no—
1624C42—861no—
1625C42—861no—
1626C42—861no—
1627C42—861no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42—861no—
1632C42C23×D4311yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—42no—
1636C23—42no—
1637C23—81no—
1638C23—431no—
1639C23—431no—
1640C23—431no—
1641C23—862no—
1642C23—862no—
1643C23—862no—
1644C23—861no—
1645C23—3441no—
1646C23—1721no—
1647C23—1721no—
1648C23—1721no—
1649C23—1722no—
1650C23—1722no—
1651C23C2×D4×D4311yescharacteristic
1652C23C2×D4×D4311yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—432no—
1658Q8—861no—
1659Q8—861no—
1660Q8—861no—
1661Q8—861no—
1662Q8—861no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8—1722no—
1666D4—21no—
1667D4—21no—
1668D4—21no—
1669D4—41no—
1670D4—42no—
1671D4—42no—
1672D4—81no—
1673D4—862no—
1674D4—862no—
1675D4—864no—
1676D4—861no—
1677D4—861no—
1678D4—3441no—
1679D4—3441no—
1680D4—1722no—
1681D4—1721no—
1682D4—1722no—
1683D4—1722no—
1684D4—1722no—
1685D4—1722no—
1686D4—1722no—
1687D4—1722no—
1688D4—1722no—
1689D4—1722no—
1690D4#41×D4312yes—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—81no—
1704C2×C4—431no—
1705C2×C4—432no—
1706C2×C4—432no—
1707C2×C4—431no—
1708C2×C4—431no—
1709C2×C4—431no—
1710C2×C4—431no—
1711C2×C4—862no—
1712C2×C4—862no—
1713C2×C4—862no—
1714C2×C4—862no—
1715C2×C4—862no—
1716C2×C4—862no—
1717C2×C4—864no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—1721no—
1730C2×C4—1721no—
1731C2×C4—1722no—
1732C2×C4—1722no—
1733C2×C4—1722no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4—1722no—
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C2×D4×D4311yescharacteristic
1750C2×C4C24×D4311yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C8—861no—
1759C22—21no—
1760C22—21no—
1761C22—22no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—84no—
1772C22—432no—
1773C22—432no—
1774C22—861no—
1775C22—861no—
1776C22—861no—
1777C22—861no—
1778C22—861no—
1779C22—861no—
1780C22—861no—
1781C22—3444no—
1782C22—3442no—
1783C22—1724no—
1784C22—1721no—
1785C22—1721no—
1786C22—1721no—
1787C22C22×D4×D4311yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—432no—
1799C4—861no—
1800C4—861no—
1801C4—862no—
1802C4—861no—
1803C4—861no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C4—1721no—
1808C4—1721no—
1809C4—1721no—
1810C4C2×#41×D4311yescharacteristic
1811C4H(5,𝔽2)×D4311yescharacteristic
1812C2—41no—
1813C2—41no—
1814C2—42no—
1815C2—81no—
1816C2—862no—
1817C2—862no—
1818C2—3441no—
1819C2—1721no—
1820C2#546×D4311yescharacteristic
1821C2#575×D4311yescharacteristic
1822C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3323C2
socleC22×C43C23×D4
prime radical#19148079C2
hypercenter#3323D43
hypocenterC43#61163
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #552×D43C2semidirect
3. #19146865C2semidirect
4. #19146857C2semidirect
5. #19146811C2semidirect
6. #19146724C2semidirect
7. #19146716C2semidirect
8. #19146692C2semidirect
9. #19146684C2semidirect
10. #19146649C2semidirect
11. #19146641C2semidirect
12. #19146617C2semidirect
13. #19146609C2semidirect
14. #19146489C2semidirect
15. #19146481C2semidirect
16. #19146435C2semidirect
17. #19146427C2semidirect
18. #19144992C2semidirect
19. #19144527C2semidirect
20. #19144517C2semidirect
21. #19144412C2semidirect
22. #19144224C2semidirect
23. #19144220C2semidirect
24. #19144065C2semidirect
25. #19143852C2semidirect
26. #19143850C2semidirect
27. C4×#13063354C2semidirect
28. #19143331C2semidirect
29. #19143109C2semidirect
30. #417×D43C2semidirect
31. C43×#3323C2semidirect
34. C2×#13063357C22semidirect
36. C2×#13063354C22semidirect
37. C2×M16×D43C22semidirect
38. C2×M16×D43C22semidirect
39. #14583591C22semidirect
40. #14583590C22semidirect
41. #14583589C22semidirect
43. #14583587C22semidirect
46. #14583584C22semidirect
65. #125×D43C22semidirect
71. C22⋊Q8×D43C22semidirect
72. C22⋊Q8×D43C22semidirect
74. C4×Q8×D43C22semidirect
78. #117×D43C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583266C22semidirect
81. #14583266C22semidirect
82. #14583262C22semidirect
83. #14583262C22semidirect
84. #14583256C22semidirect
85. #14583254C22semidirect
86. #14583253C22semidirect
87. #14583239C22semidirect
88. #14583238C22semidirect
89. #14583237C22semidirect
90. #14583235C22semidirect
91. #14583234C22semidirect
92. #14583231C22semidirect
93. #14583231C22semidirect
94. #14583226C22semidirect
95. #14583225C22semidirect
96. #14583224C22semidirect
97. #14583223C22semidirect
98. #14583215C22semidirect
99. #14583211C22semidirect
100. #14583211C22semidirect
101. #14583209C22semidirect
102. #14583207C22semidirect
103. #14583205C22semidirect
104. #14583203C22semidirect
105. #14583201C22semidirect
106. #14583199C22semidirect
107. #14583197C22semidirect
108. #14583157C22semidirect
109. #14583155C22semidirect
110. #14583155C22semidirect
111. #14583147C22semidirect
112. #14583145C22semidirect
113. #14583143C22semidirect
114. #14583141C22semidirect
115. #14583139C22semidirect
116. #14583139C22semidirect
117. #14583137C22semidirect
118. #14583131C22semidirect
119. #14583129C22semidirect
120. #14583127C22semidirect
121. #14583125C22semidirect
122. #14583122C22semidirect
123. #14583121C22semidirect
124. #14583118C22semidirect
125. #14583108C22semidirect
126. #14583107C22semidirect
127. #14583098C22semidirect
128. #14583097C22semidirect
129. #14583063C22semidirect
130. #14583062C22semidirect
131. #14583062C22semidirect
132. #14583061C22semidirect
133. #14583059C22semidirect
134. #14583058C22semidirect
135. #14583058C22semidirect
136. #14583057C22semidirect
137. #14583056C22semidirect
138. #14583054C22semidirect
139. #14583053C22semidirect
140. #14583051C22semidirect
141. #14583050C22semidirect
142. #14583048C22semidirect
143. #14583005C22semidirect
144. #14583003C22semidirect
145. #14583000C22semidirect
146. #14582996C22semidirect
147. C4×Dic172C22semidirect
148. C4×#10621885C22semidirect
149. C4×#10621883C22semidirect
150. #14582977C22semidirect
152. #14582973C22semidirect
154. #14582968C22semidirect
155. C8×D172C22semidirect
156. #14582964C22semidirect
157. #14582940C22semidirect
158. #14582938C22semidirect
159. #14582938C22semidirect
160. #14582921C22semidirect
161. #14582909C22semidirect
162. #14582907C22semidirect
163. #14582906C22semidirect
164. #14582904C22semidirect
165. #14582901C22semidirect
166. #14582900C22semidirect
167. #14582899C22semidirect
168. #14582899C22semidirect
169. #14582899C22semidirect
170. #14582898C22semidirect
174. #14582897C22semidirect
175. #14582897C22semidirect
176. #14582897C22semidirect
177. #14582892C22semidirect
178. #14582892C22semidirect
179. #14582892C22semidirect
180. #14582892C22semidirect
181. #103×D43C22semidirect
182. #103×D43C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582861C22semidirect
186. #14582861C22semidirect
187. C4×#10621872C22semidirect
188. C43×#552C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#481C22semidirect
193. C43×#478C22semidirect
194. C43×#470C22semidirect
195. C43×#468C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#450C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#418C22semidirect
202. C43×#417C22semidirect
906. #3323D43semidirect
961. #552C2×D43semidirect
1000. #488C2×D43semidirect
1004. #485C2×D43semidirect
1014. #481C2×D43semidirect
1024. #478C2×D43semidirect
1028. #470C2×D43semidirect
1032. #468C2×D43semidirect
1044. #464C2×D43semidirect
1056. #452C2×D43semidirect
1064. #450C2×D43semidirect
1072. C4×SD16C2×D43semidirect
1074. #436C2×D43semidirect
1089. #418C2×D43semidirect
1102. #417C2×D43semidirect
1114. C43#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D432
#191480792
#191468652
#191468572
#191468112
#191467242
#191467162
#191466922
#191466842
#191466492
#191466412
#191466172
#191466092
#191464892
#191464812
#191464352
#191464272
#191449922
#191445272
#191445172
#191444122
#191442242
#191442202
#191440652
#191438522
#191438502
C4×#130633542
#191433312
#191431092
#417×D432
C43×#33232
#6116343