Finite Group Databasebeta

← #25993220

Subgroups — #25993220

Order 11008.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148566C211yesmaximal, characteristic, complemented
2#19148146C211yesmaximal, characteristic, complemented
3#19147465C211yesmaximal, characteristic, complemented
4#19147462C211yesmaximal, characteristic, complemented
5#19147277C211yesmaximal, characteristic, complemented
6#19147239C211yesmaximal, characteristic, complemented
7#19147214C211yesmaximal, characteristic, complemented
8#19147185C211yesmaximal, characteristic, complemented
9#19147169C211yesmaximal, characteristic, complemented
10#19147163C211yesmaximal, characteristic, complemented
11#19147161C211yesmaximal, characteristic, complemented
12#19147149C211yesmaximal, characteristic, complemented
13#19146907C211yesmaximal, characteristic, complemented
14#19146893C211yesmaximal, characteristic, complemented
15#19146811C211yesmaximal, characteristic, complemented
16#19146807C211yesmaximal, characteristic, complemented
17#19146800C211yesmaximal, characteristic, complemented
18#19145993C211yesmaximal, characteristic, complemented
19#19145990C211yesmaximal, characteristic, complemented
20#19145961C211yesmaximal, characteristic, complemented
21#19145760C211yesmaximal, characteristic, complemented
22#19145758C211yesmaximal, characteristic, complemented
23#19145752C211yesmaximal, characteristic, complemented
24#19144637C211yesmaximal, characteristic, complemented
25#19144609C211yesmaximal, characteristic, complemented
26#19144606C211yesmaximal, characteristic, complemented
27#19144415C211yesmaximal, characteristic, complemented
28#19144412C211yesmaximal, characteristic, complemented
29#19144389C211yesmaximal, characteristic, complemented
30#19143723C211yesmaximal, characteristic, complemented
31C43×#3322C211yesmaximal, characteristic, complemented
32#14583626C2211yescharacteristic, complemented
33#14583618C2211yescharacteristic
34#14583613C2211yescharacteristic
35#14583608C2211yescharacteristic
36#14583608C2211yescharacteristic, complemented
37#14583604C2211yescharacteristic, complemented
38#14583596C2211yescharacteristic
39#14583592—21no—
40#14583591C2211yescharacteristic
41#14583589—21no—
42#14583589C2211yescharacteristic
43#14583589C2211yescharacteristic
44#14583588C2211yescharacteristic
45#14583586—21no—
46#14583586—21no—
47#14583585—21no—
48#14583580—21no—
49#14583575—21no—
50#14583549—21no—
51#14583549C2211yescharacteristic, complemented
52#14583548C2211yescharacteristic
53#14583543C2211yescharacteristic
54#14583506—21no—
55#14583494—21no—
56#14583492—21no—
57#14583452C2211yescharacteristic
58#14583451C2211yescharacteristic
59#14583431C2211yescharacteristic, complemented
60#14583430—21no—
61#14583430C2211yescharacteristic
62#14583430C2211yescharacteristic
63#14583430C2211yescharacteristic, complemented
64#14583428C2211yescharacteristic
65#14583426—21no—
66C2×#13063316C2211yescharacteristic, complemented
67#125×D43C2211yescharacteristic, complemented
68#14583405—21no—
69#14583378—21no—
70#41×Dic43C2211yescharacteristic
71C4×#10621900C2211yescharacteristic
72C4×#10621900C2211yescharacteristic
73C2×D4×Dic43C2211yescharacteristic
74C2×#13063281—21no—
75#14583303C2211yescharacteristic, complemented
76#14583301C2211yescharacteristic, complemented
77#14583300C2211yescharacteristic, complemented
78#14583300C2211yescharacteristic, complemented
79#14583298C2211yescharacteristic, complemented
80#14583296C2211yescharacteristic, complemented
81#14583253C2211yescharacteristic
82#14583252C2211yescharacteristic
83#14583252C2211yescharacteristic
84#14583248C2211yescharacteristic, complemented
85#14583248C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic
88#14583241C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic
90#14583237C2211yescharacteristic
91#14583235C2211yescharacteristic
92#14583235C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583229C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic
99#14583215C2211yescharacteristic
100#14583215C2211yescharacteristic
101#14583211C2211yescharacteristic
102#14583209C2211yescharacteristic, complemented
103#14583209C2211yescharacteristic, complemented
104#14583208C2211yescharacteristic, complemented
105#14583208C2211yescharacteristic, complemented
106#14583208C2211yescharacteristic, complemented
107#14583207C2211yescharacteristic, complemented
108#14583207C2211yescharacteristic, complemented
109#14583205C2211yescharacteristic, complemented
110#14583205C2211yescharacteristic, complemented
111#14583204C2211yescharacteristic, complemented
112#14583204C2211yescharacteristic, complemented
113#14583203C2211yescharacteristic, complemented
114#14583201C2211yescharacteristic
115#14583201C2211yescharacteristic
116#14583201C2211yescharacteristic
117#14583201C2211yescharacteristic
118#14583201C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic
120#14583199C2211yescharacteristic, complemented
121#14583197C2211yescharacteristic
122#14583197C2211yescharacteristic
123#14583197C2211yescharacteristic
124#14583197C2211yescharacteristic
125#14583193C2211yescharacteristic, complemented
126#14583187C2211yescharacteristic
127#14583187C2211yescharacteristic
128#14583187C2211yescharacteristic, complemented
129#14583177C2211yescharacteristic
130#14583177C2211yescharacteristic
131#14583157C2211yescharacteristic
132#14583157C2211yescharacteristic, complemented
133#14583156C2211yescharacteristic, complemented
134#14583155C2211yescharacteristic
135#14583149C2211yescharacteristic
136#14583144C2211yescharacteristic
137#14583143C2211yescharacteristic
138#14583143C2211yescharacteristic
139#14583143C2211yescharacteristic, complemented
140#14583142C2211yescharacteristic, complemented
141#14583120C2211yescharacteristic
142#14583120C2211yescharacteristic, complemented
143#14583119C2211yescharacteristic, complemented
144#14583118C2211yescharacteristic
145#14583112C2211yescharacteristic
146#14583112C2211yescharacteristic
147#14583112C2211yescharacteristic
148#14583108C2211yescharacteristic, complemented
149#14583102C2211yescharacteristic, complemented
150#14583062C2211yescharacteristic
151#14583061C2211yescharacteristic
152#14583050C2211yescharacteristic
153#14583041C2211yescharacteristic
154C8×Dic86C2211yescharacteristic, complemented
155#14583023C2211yescharacteristic, complemented
156C4×Dic172C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic
160#14582990C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic, complemented
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164D8×Dic43C2211yescharacteristic
165D8×Dic43C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167#14582977C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582975C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic
171#14582974C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582949C2211yescharacteristic
174#14582949C2211yescharacteristic, complemented
175#14582942C2211yescharacteristic
176#14582941C2211yescharacteristic
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#14582938C2211yescharacteristic, complemented
181#14582922C2211yescharacteristic
182#14582922C2211yescharacteristic, complemented
183#14582921C2211yescharacteristic, complemented
184#14582904C2211yescharacteristic
185#14582900C2211yescharacteristic
186#14582897C2211yescharacteristic
187#14582897C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#480C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C43×#417C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900D411yescharacteristic
205C2×#10621900C2311yescharacteristic
206C23×Dic43—21no—
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621883C2311yescharacteristic
210C2×#10621883C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621877C2311yescharacteristic
213C2×#10621877C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216#13063324—21no—
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063323C2311yescharacteristic
221#13063320—21no—
222#13063318—21no—
223#13063318—21no—
224#13063318—21no—
225#13063318—21no—
226#13063318—21no—
227#13063318—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063317—21no—
234#13063317C2311yescharacteristic
235#13063317C2311yescharacteristic
236#13063316—21no—
237#13063316—21no—
238#13063316—21no—
239#13063316C2311yescharacteristic
240#13063316C2311yescharacteristic
241#13063316C2311yescharacteristic
242#13063316C2311yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063315—21no—
246#13063315—21no—
247#13063315—21no—
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063312—21no—
254#13063312C2311yescharacteristic
255#13063312C2311yescharacteristic
256#13063311—21no—
257#13063309—21no—
258#13063308—21no—
259#13063307—21no—
260#13063307—21no—
261#13063307—21no—
262#13063307—21no—
263#13063306—21no—
264#13063306—21no—
265#13063306—21no—
266#13063306—21no—
267#13063306—21no—
268#13063306—21no—
269#13063306—21no—
270#13063306—21no—
271#13063306—21no—
272#13063305C2311yescharacteristic
273#13063304—21no—
274#13063304—21no—
275#13063304—21no—
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063303—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063301C2311yescharacteristic
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063296—21no—
295#13063296C2311yescharacteristic
296#13063296C2311yescharacteristic
297#13063294—21no—
298Q8×Dic43C2311yescharacteristic
299Q8×Dic43C2311yescharacteristic
300C4×Dic86—21no—
301C4×Dic86—21no—
302C4×Dic86C2311yescharacteristic
303C4×Dic86C2311yescharacteristic
304C4×Dic86C2311yescharacteristic
305#13063290—21no—
306#13063290—21no—
307#13063290D411yescharacteristic
308#13063290C2311yescharacteristic
309#13063290C2311yescharacteristic
310#13063290C2311yescharacteristic
311D4×Dic43—21no—
312D4×Dic43—21no—
313D4×Dic43—21no—
314D4×Dic43—21no—
315D4×Dic43—21no—
316D4×Dic43—21no—
317D4×Dic43—21no—
318D4×Dic43D411yescharacteristic
319D4×Dic43C2311yescharacteristic
320D4×Dic43C2311yescharacteristic
321D4×Dic43C2311yescharacteristic
322D4×Dic43C2311yescharacteristic
323D4×Dic43C2311yescharacteristic
324D4×Dic43C2311yescharacteristic
325D4×Dic43C2311yescharacteristic
326C4×C22⋊D43—21no—
327C4×C22⋊D43—21no—
328C4×C22⋊D43—21no—
329C4×C22⋊D43C2311yescharacteristic
330C4×C22⋊D43C2311yescharacteristic
331(C22⋊D43)⋊C4—21no—
332(C22⋊D43)⋊C4—21no—
333(C22⋊D43)⋊C4—21no—
334(C22⋊D43)⋊C4D411yescharacteristic
335(C22⋊D43)⋊C4D411yescharacteristic
336#13063284—21no—
337#13063284—21no—
338#13063284C2311yescharacteristic
339#13063284C2311yescharacteristic
340#13063283D411yescharacteristic
341#13063283C2311yescharacteristic
342#13063282—21no—
343#13063281—21no—
344#13063281—21no—
345#13063281—21no—
346#13063281—21no—
347#13063281—21no—
348#13063281—21no—
349#13063281—21no—
350#13063281—21no—
351#13063281—21no—
352#13063281—21no—
353#13063281—21no—
354#13063281D411yescharacteristic
355#13063281D411yescharacteristic
356C2×C4⋊Dic43—21no—
357C2×C4⋊Dic43C2311yescharacteristic
358C2×C4⋊Dic43C2311yescharacteristic
359C2×Dic43⋊C4—21no—
360C2×Dic43⋊C4—21no—
361C2×Dic43⋊C4—21no—
362C2×Dic43⋊C4—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43C2311yescharacteristic
366C4⋊C4×D43C2311yescharacteristic
367C2×C22⋊Dic43—21no—
368C2×C22⋊Dic43—21no—
369C2×C4×Dic43—21no—
370C2×C4×Dic43—21no—
371C2×C4×Dic43C2311yescharacteristic
372C2×C4×Dic43C2311yescharacteristic
373C42×D43C2311yescharacteristic
374#13063259C2311yescharacteristic
375#13063259C2311yescharacteristic
376#13063259C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×D4×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C2×M16×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43C2311yescharacteristic
445#123×C43—21no—
446#123×C43—21no—
447C22⋊Q8×C43C2311yescharacteristic
448#121×C43—21no—
449#121×C43—21no—
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#120×C43—21no—
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C22⋊C4×C43—21no—
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C22⋊C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479#41×C43—22no—
480#41×C43—41no—
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—22no—
488C2×D4×C43—41no—
489C2×D4×C43C2×D411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2411yescharacteristic
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—44no—
515C22×Dic43C2×D411yescharacteristic
516C22×Dic43C2×D411yescharacteristic
517C22×Dic43C2×D411yescharacteristic
518C22×Dic43C2×D411yescharacteristic
519#10621900—22no—
520#10621900—41no—
521#10621900—42no—
522#10621900—44no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2411yescharacteristic
533C2×Dic86C2411yescharacteristic
534SD16×C43—41no—
535D8×C43—22no—
536D8×C43—41no—
537M16×C43—41no—
538M16×C43—41no—
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C2×C8×C43C2411yescharacteristic
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C22⋊C4×C43—21no—
553C22⋊C4×C43—21no—
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43C2×D411yescharacteristic
562C22⋊C4×C43C2×D411yescharacteristic
563C42×C43—21no—
564C42×C43C2411yescharacteristic
565C22⋊Dic43—21no—
566C22⋊Dic43—21no—
567C22⋊Dic43—21no—
568C22⋊Dic43—21no—
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621885—41no—
587#10621883—22no—
588#10621883—41no—
589#10621883—41no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4C2×D411yescharacteristic
594(C2×D43)⋊C4C2×D411yescharacteristic
595C4⋊Dic43—21no—
596C4⋊Dic43—21no—
597C4⋊Dic43—21no—
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43C2×D411yescharacteristic
607C4⋊Dic43C2411yescharacteristic
608C4⋊Dic43C2411yescharacteristic
609C4⋊Dic43C2411yescharacteristic
610C4⋊Dic43C2411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4C2×D411yescharacteristic
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43C2×D411yescharacteristic
655C4×Dic43C2×D411yescharacteristic
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2×D411yescharacteristic
658C4×Dic43C2×D411yescharacteristic
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2411yescharacteristic
661C4×Dic43C2411yescharacteristic
662C4×Dic43C2411yescharacteristic
663#10621877—41no—
664#10621877—41no—
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669Dic172—41no—
670#10621872—41no—
671#10621872—41no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—42no—
676C23×C43—42no—
677C23×C43—81no—
678C23×C43C22×D411yescharacteristic
679C23×C43C22×D411yescharacteristic
680C22×D43C22×D411yescharacteristic
681Q8×C43—21no—
682Q8×C43—21no—
683D4×C43—21no—
684D4×C43—21no—
685D4×C43—21no—
686D4×C43—21no—
687D4×C43—21no—
688D4×C43—41no—
689D4×C43—42no—
690D4×C43—42no—
691D4×C43—42no—
692D4×C43—81no—
693D4×C43—81no—
694D4×C432−1+412yes—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—42no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43—81no—
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—22no—
714C22⋊D43—41no—
715C22⋊D43—42no—
716C22⋊D43—42no—
717C22⋊D43—81no—
718C2×Dic43—22no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—41no—
728C2×Dic43—41no—
729C2×Dic43—41no—
730C2×Dic43—42no—
731C2×Dic43—42no—
732C2×Dic43—42no—
733C2×Dic43—42no—
734C2×Dic43—42no—
735C2×Dic43—42no—
736C2×Dic43—42no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C4×D43—21no—
748C4×D43—21no—
749C4×D43—41no—
750C4×D43—41no—
751C4×D43—42no—
752C4×D43—81no—
753Dic86—22no—
754Dic86—21no—
755Dic86—21no—
756Dic86—21no—
757Dic86—21no—
758Dic86—42no—
759Dic86—81no—
760Dic86—81no—
761C8×C43—21no—
762C8×C43—21no—
763C8×C43—21no—
764C8×C43—21no—
765C43⋊C8—21no—
766C43⋊C8—21no—
767C43⋊C8—21no—
768C43⋊C8—21no—
769#62152—431nomaximal, Sylow
770C22×C43—21no—
771C22×C43—21no—
772C22×C43—22no—
773C22×C43—21no—
774C22×C43—21no—
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—84no—
786C22×C43C23×D411yescharacteristic
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C4×C43—21no—
791C4×C43—21no—
792C4×C43—21no—
793C4×C43—21no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43C2×2−1+411yescharacteristic
800C4×C43#58511yescharacteristic
801Dic43—21no—
802Dic43—21no—
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43—21no—
807Dic43—41no—
808Dic43—41no—
809Dic43—41no—
810Dic43—41no—
811Dic43—41no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43#57512yes—
816#3515—431no—
817#3475—431no—
818#3381—431no—
819#3380—431no—
820#3364—431no—
821#3360—431no—
822#3357—431no—
823#3354—431no—
824#3352—431no—
825#3352—431no—
826#3351—431no—
827#3351—431no—
828#3331—431no—
829#3330—431no—
830#3323—431no—
831#3323—431no—
832#3322—431no—
833#3322D4311yescharacteristic, complemented
834#3256—431no—
835#3256—431no—
836#3252—431no—
837#3232—431no—
838#3232—431no—
839#3231—431no—
840#3105—431no—
841#3102—431no—
842#3102—431no—
843#3080—431no—
844#3080—431no—
845#3077—431no—
846#2991—431no—
847C2×C43—41no—
848C2×C43—41no—
849C2×C43—42no—
850C2×C43—81no—
851C2×C43—81no—
852C2×C43#348911yescharacteristic
853C2×C43C2×#57511yescharacteristic
854C2×C43#358411yescharacteristic
855D43—41no—
856#557—431no—
857#556—431no—
858#555—431no—
859#554—431no—
860#554—431no—
861#554—431no—
862#553—431no—
863#553—861no—
864#553C2×D4311yescharacteristic
865#552—431no—
866#552—431no—
867#552—431no—
868#552—431no—
869#552—861no—
870#552—861no—
871#552—861no—
872#552—861no—
873#551—861no—
874#551—861no—
875#547—431no—
876#547—431no—
877#547—861no—
878#546—431no—
879#546C2×D4311yescharacteristic
880#541—861no—
881#539—861no—
882#539—861no—
883#533—431no—
884#533—431no—
885#529—431no—
886#529—431no—
887#529—431no—
888#529—431no—
889#529—431no—
890#529—861no—
891#529—861no—
892C2×#125—431no—
893C2×#125—431no—
894#525—861no—
895#520—861no—
896C4×#41—431no—
897C4×#41—431no—
898C4×#41—431no—
899C2×C4×D4—431no—
900C2×#117—861no—
901#500—431no—
902#499—431no—
903#499—431no—
904#499—431no—
905#499—431no—
906#498—431no—
907#488—431no—
908#488—431no—
909#488—431no—
910#488C2×D4311yescharacteristic
911#487—431no—
912#487—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485—431no—
918#485C2×D4311yescharacteristic
919#484—431no—
920#484—431no—
921#484—431no—
922#483—431no—
923#483—431no—
924#482—431no—
925#482—431no—
926#481—431no—
927#481—431no—
928#481—431no—
929#480—431no—
930#480C2×D4311yescharacteristic
931#479—431no—
932#479—431no—
933#479—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#478—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478C2×D4311yescharacteristic
955#477—431no—
956#476—431no—
957#476—431no—
958#476—431no—
959#474—431no—
960#474—431no—
961#470—431no—
962#470—431no—
963#470—431no—
964#470—431no—
965#469—431no—
966#469C2×D4311yescharacteristic
967#468—431no—
968#468—431no—
969#468—431no—
970#468—431no—
971#468—431no—
972#468C2×D4311yescharacteristic
973#464—431no—
974#464—431no—
975#464—431no—
976#464—431no—
977#463—431no—
978#463—431no—
979#463—431no—
980#463C2×D4311yescharacteristic
981#462—431no—
982#461—431no—
983#452—431no—
984#452—431no—
985#450—431no—
986#449—431no—
987#449C2×D4311yescharacteristic
988#447C2×D4311yescharacteristic
989C8×Q8—431no—
990C8×Q8—431no—
991C4×Q16—431no—
992C4×Q16—431no—
993C4×SD16—431no—
994C4×SD16—431no—
995C4×SD16—431no—
996C4×SD16—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×D8—431no—
1000C4×D8—431no—
1001C4×D8—431no—
1002C4×D8C2×D4311yescharacteristic
1003#436—431no—
1004#436—431no—
1005#436—431no—
1006#436—431no—
1007#436—431no—
1008#436C2×D4311yescharacteristic
1009#431—431no—
1010#431—431no—
1011#431—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#428—431no—
1018#423—431no—
1019#423—431no—
1020#423—431no—
1021#418—431no—
1022#418C2×D4311yescharacteristic
1023#417—431no—
1024#417—431no—
1025#417—431no—
1026#417C2×D4311yescharacteristic
1027C43#6215211yescharacteristic, complemented, Sylow
1028C2×#41—431no—
1029C2×#41—431no—
1030C2×#41—861no—
1031C2×#41C22×D4311yescharacteristic
1032C22×D4C22×D4311yescharacteristic
1033C23×C4—861no—
1034C2×Q16—431no—
1035C2×Q16—431no—
1036C2×SD16—431no—
1037C2×SD16—431no—
1038C2×SD16—431no—
1039C2×SD16C22×D4311yescharacteristic
1040C2×D8C22×D4311yescharacteristic
1041C2×D8C22×D4311yescharacteristic
1042C2×M16—431no—
1043C2×M16—431no—
1044C2×M16—431no—
1045C2×M16—431no—
1046C2×M16C22×D4311yescharacteristic
1047C2×M16C22×D4311yescharacteristic
1048C4⋊Q8—431no—
1049C4⋊Q8—431no—
1050C4⋊Q8—431no—
1051C4⋊Q8—431no—
1052C4⋊Q8—861no—
1053#126—21no—
1054#126—861no—
1055#126—861no—
1056#126—861no—
1057#126—861no—
1058#126—861no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—431no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125—861no—
1085#125—861no—
1086#125C22×D4311yescharacteristic
1087#124—431no—
1088#124—431no—
1089#124—861no—
1090#124—861no—
1091#124C22×D4311yescharacteristic
1092#123—21no—
1093#123—21no—
1094#123—861no—
1095#123—861no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—861no—
1116C22⋊Q8—861no—
1117C22⋊Q8—861no—
1118C22⋊Q8—861no—
1119C22⋊Q8—861no—
1120C22⋊Q8—861no—
1121C22⋊Q8—861no—
1122C22⋊Q8—861no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8C22×D4311yescharacteristic
1129#121—21no—
1130#121—21no—
1131#121—431no—
1132#121—431no—
1133#121—861no—
1134#121—861no—
1135#121—861no—
1136#121—861no—
1137#121C22×D4311yescharacteristic
1138#121C22×D4311yescharacteristic
1139#121C22×D4311yescharacteristic
1140#120—21no—
1141#120—861no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×D4—21no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—431no—
1165C4×D4—431no—
1166C4×D4—431no—
1167C4×D4—431no—
1168C4×D4—861no—
1169C4×D4—861no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4C22×D4311yescharacteristic
1182C4×D4C22×D4311yescharacteristic
1183C4×D4C22×D4311yescharacteristic
1184#117—431no—
1185#117—431no—
1186#117—431no—
1187#117—431no—
1188#117—431no—
1189#117—431no—
1190#117—861no—
1191#117—861no—
1192#117—861no—
1193#117—861no—
1194#117—861no—
1195#117—861no—
1196#117—861no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203#117—861no—
1204#117C22×D4311yescharacteristic
1205C2×C4⋊C4—431no—
1206C2×C4⋊C4—431no—
1207C2×C4⋊C4—431no—
1208C2×C4⋊C4—431no—
1209C2×C4⋊C4—861no—
1210C2×C4⋊C4—861no—
1211C2×C4⋊C4—861no—
1212C2×C4⋊C4—861no—
1213C2×C4⋊C4—861no—
1214C2×C4⋊C4—861no—
1215C2×C4⋊C4—861no—
1216C2×C4⋊C4C22×D4311yescharacteristic
1217C2×C22⋊C4—21no—
1218C2×C22⋊C4—861no—
1219C2×C22⋊C4—861no—
1220C2×C42—431no—
1221C2×C42—431no—
1222C2×C42—431no—
1223C2×C42—861no—
1224C2×C42—861no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107—431no—
1234#107—431no—
1235#107C22×D4311yescharacteristic
1236#107C22×D4311yescharacteristic
1237#106—431no—
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106—431no—
1246#106—431no—
1247#106—431no—
1248#106C22×D4311yescharacteristic
1249C4⋊C8—431no—
1250C4⋊C8—431no—
1251C4⋊C8—431no—
1252C4⋊C8—431no—
1253C4⋊C8—431no—
1254C4⋊C8—431no—
1255C4⋊C8—431no—
1256C4⋊C8—431no—
1257C4⋊C8—431no—
1258C4⋊C8C22×D4311yescharacteristic
1259#103—431no—
1260#103—431no—
1261#103—431no—
1262#103—431no—
1263#103—431no—
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103C22×D4311yescharacteristic
1273#103C22×D4311yescharacteristic
1274#103C22×D4311yescharacteristic
1275#102—431no—
1276#102—431no—
1277#102—431no—
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102C22×D4311yescharacteristic
1285#102C22×D4311yescharacteristic
1286#102C22×D4311yescharacteristic
1287#102C22×D4311yescharacteristic
1288#102C22×D4311yescharacteristic
1289#102C22×D4311yescharacteristic
1290#102C22×D4311yescharacteristic
1291C22⋊C8—431no—
1292C22⋊C8—431no—
1293C22⋊C8—431no—
1294C22⋊C8—431no—
1295C22⋊C8C22×D4311yescharacteristic
1296C22⋊C8C22×D4311yescharacteristic
1297C4×C8—431no—
1298C4×C8—431no—
1299C4×C8—431no—
1300C4×C8—431no—
1301C4×C8—431no—
1302C4×C8C22×D4311yescharacteristic
1303C24—21no—
1304#41—22no—
1305#41—41no—
1306#41—862no—
1307#41—1721no—
1308#41—1722no—
1309#41—1724no—
1310C2×Q8—431no—
1311C2×Q8—431no—
1312C2×Q8—431no—
1313C2×Q8—861no—
1314C2×Q8—861no—
1315C2×Q8—861no—
1316C2×Q8C23×D4311yescharacteristic
1317C2×D4—22no—
1318C2×D4—21no—
1319C2×D4—21no—
1320C2×D4—21no—
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—41no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—861no—
1327C2×D4—861no—
1328C2×D4—861no—
1329C2×D4D4×D4311yescharacteristic
1330C2×D4C23×D4311yescharacteristic
1331C2×D4C23×D4311yescharacteristic
1332C2×D4C23×D4311yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—861no—
1345C22×C4—861no—
1346C22×C4—861no—
1347C22×C4—861no—
1348C22×C4—861no—
1349C22×C4—861no—
1350C22×C4—861no—
1351C22×C4—861no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—1724no—
1357C22×C4C23×D4311yescharacteristic
1358C22×C4C23×D4311yescharacteristic
1359Q16—1721no—
1360Q16—1721no—
1361SD16—41no—
1362SD16—862no—
1363SD16—1721no—
1364SD16—1721no—
1365D8—22no—
1366D8—41no—
1367M16—41no—
1368M16—41no—
1369M16—1721no—
1370M16—1721no—
1371M16—1721no—
1372M16—1721no—
1373C2×C8—431no—
1374C2×C8—431no—
1375C2×C8—431no—
1376C2×C8—431no—
1377C2×C8C23×D4311yescharacteristic
1378C2×C8C23×D4311yescharacteristic
1379C2×C8C23×D4311yescharacteristic
1380C2×C8C23×D4311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
1416C4⋊C4—861no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4D4×D4311yescharacteristic
1435C4⋊C4C23×D4311yescharacteristic
1436C4⋊C4C23×D4311yescharacteristic
1437C4⋊C4C23×D4311yescharacteristic
1438C4⋊C4C23×D4311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4D4×D4311yescharacteristic
1475C22⋊C4D4×D4311yescharacteristic
1476C42—21no—
1477C42—431no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42—431no—
1482C42—431no—
1483C42—431no—
1484C42—431no—
1485C42—431no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42—861no—
1493C42—861no—
1494C42—861no—
1495C42—861no—
1496C42C23×D4311yescharacteristic
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—42no—
1501C23—42no—
1502C23—81no—
1503C23—431no—
1504C23C2×D4×D4311yescharacteristic
1505C23C2×D4×D4311yescharacteristic
1506Q8—21no—
1507Q8—21no—
1508Q8—862no—
1509Q8—861no—
1510Q8—861no—
1511Q8—861no—
1512Q8—861no—
1513Q8—3441no—
1514Q8—3441no—
1515Q8—1722no—
1516D4—21no—
1517D4—21no—
1518D4—21no—
1519D4—21no—
1520D4—21no—
1521D4—41no—
1522D4—42no—
1523D4—42no—
1524D4—42no—
1525D4—81no—
1526D4—81no—
1527D4—862no—
1528D4—3441no—
1529D4—1721no—
1530D4—1722no—
1531D4—1722no—
1532D4#1306337212yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—42no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—431no—
1547C2×C4—431no—
1548C2×C4—431no—
1549C2×C4—431no—
1550C2×C4—431no—
1551C2×C4—431no—
1552C2×C4—431no—
1553C2×C4—862no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—3441no—
1565C2×C4—3441no—
1566C2×C4—3441no—
1567C2×C4—1721no—
1568C2×C4—1721no—
1569C2×C4—1722no—
1570C2×C4—1722no—
1571C2×C4—1722no—
1572C2×C4—1722no—
1573C2×C4—1721no—
1574C2×C4—1721no—
1575C2×C4—1721no—
1576C2×C4—1722no—
1577C2×C4—1722no—
1578C2×C4—1722no—
1579C2×C4—1722no—
1580C2×C4—1722no—
1581C2×C4C2×D4×D4311yescharacteristic
1582C2×C4C2×D4×D4311yescharacteristic
1583C2×C4C2×D4×D4311yescharacteristic
1584C2×C4C2×D4×D4311yescharacteristic
1585C2×C4C24×D4311yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—861no—
1591C8—861no—
1592C8—861no—
1593C8—861no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—22no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—84no—
1610C22—861no—
1611C22—861no—
1612C22—861no—
1613C22C22×D4×D4311yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—432no—
1624C4—861no—
1625C4—861no—
1626C4—861no—
1627C4—861no—
1628C4—861no—
1629C4—861no—
1630C4—1721no—
1631C4—1721no—
1632C4—1721no—
1633C4—1721no—
1634C4—1721no—
1635C4—1721no—
1636C4—1721no—
1637C4—1721no—
1638C4C2×#1306337211yescharacteristic
1639C4#1458373411yescharacteristic
1640C2—41no—
1641C2—41no—
1642C2—42no—
1643C2—81no—
1644C2—81no—
1645C2—1721no—
1646C2#1914826611yescharacteristic
1647C2#575×D4311yescharacteristic
1648C2#1914936311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3322C2
socleC22×C43C23×D4
hypercenter#3322D43
hypocenterC43#62152
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #19148566C2semidirect
2. #19148146C2semidirect
3. #19147465C2semidirect
4. #19147462C2semidirect
5. #19147277C2semidirect
6. #19147239C2semidirect
7. #19147214C2semidirect
8. #19147185C2semidirect
9. #19147169C2semidirect
10. #19147163C2semidirect
11. #19147161C2semidirect
12. #19147149C2semidirect
13. #19146907C2semidirect
14. #19146893C2semidirect
15. #19146811C2semidirect
16. #19146807C2semidirect
17. #19146800C2semidirect
18. #19145993C2semidirect
19. #19145990C2semidirect
20. #19145961C2semidirect
21. #19145760C2semidirect
22. #19145758C2semidirect
23. #19145752C2semidirect
24. #19144637C2semidirect
25. #19144609C2semidirect
26. #19144606C2semidirect
27. #19144415C2semidirect
28. #19144412C2semidirect
29. #19144389C2semidirect
30. #19143723C2semidirect
31. C43×#3322C2semidirect
32. #14583626C22semidirect
36. #14583608C22semidirect
37. #14583604C22semidirect
51. #14583549C22semidirect
59. #14583431C22semidirect
63. #14583430C22semidirect
66. C2×#13063316C22semidirect
67. #125×D43C22semidirect
75. #14583303C22semidirect
76. #14583301C22semidirect
77. #14583300C22semidirect
78. #14583300C22semidirect
79. #14583298C22semidirect
80. #14583296C22semidirect
84. #14583248C22semidirect
85. #14583248C22semidirect
86. #14583242C22semidirect
88. #14583241C22semidirect
92. #14583235C22semidirect
93. #14583233C22semidirect
94. #14583229C22semidirect
95. #14583228C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
102. #14583209C22semidirect
103. #14583209C22semidirect
104. #14583208C22semidirect
105. #14583208C22semidirect
106. #14583208C22semidirect
107. #14583207C22semidirect
108. #14583207C22semidirect
109. #14583205C22semidirect
110. #14583205C22semidirect
111. #14583204C22semidirect
112. #14583204C22semidirect
113. #14583203C22semidirect
118. #14583201C22semidirect
120. #14583199C22semidirect
125. #14583193C22semidirect
128. #14583187C22semidirect
132. #14583157C22semidirect
133. #14583156C22semidirect
139. #14583143C22semidirect
140. #14583142C22semidirect
142. #14583120C22semidirect
143. #14583119C22semidirect
148. #14583108C22semidirect
149. #14583102C22semidirect
154. C8×Dic86C22semidirect
155. #14583023C22semidirect
156. C4×Dic172C22semidirect
157. #14582991C22semidirect
161. SD16×Dic43C22semidirect
163. C4×#10621883C22semidirect
169. #14582975C22semidirect
171. #14582974C22semidirect
172. #14582950C22semidirect
174. #14582949C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
179. #14582939C22semidirect
180. #14582938C22semidirect
182. #14582922C22semidirect
183. #14582921C22semidirect
833. #3322D43semidirect
1027. C43#62152semidirect

Maximal subgroups

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

subgroupindex
#191485662
#191481462
#191474652
#191474622
#191472772
#191472392
#191472142
#191471852
#191471692
#191471632
#191471612
#191471492
#191469072
#191468932
#191468112
#191468072
#191468002
#191459932
#191459902
#191459612
#191457602
#191457582
#191457522
#191446372
#191446092
#191446062
#191444152
#191444122
#191443892
#191437232
C43×#33222
#6215243