Finite Group Databasebeta

← #36297694

Subgroups — #36297694

Order 21248.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921407C211yesmaximal, characteristic, complemented
2#24920529C211yesmaximal, characteristic, complemented
3#24920512C211yesmaximal, characteristic, complemented
4#24920284C211yesmaximal, characteristic, complemented
5#24920240C211yesmaximal, characteristic, complemented
6#24919634C211yesmaximal, characteristic, complemented
7#24919514C211yesmaximal, characteristic, complemented
8#24919454C211yesmaximal, characteristic, complemented
9#24919439C211yesmaximal, characteristic, complemented
10#24919350C211yesmaximal, characteristic, complemented
11#24919328C211yesmaximal, characteristic, complemented
12#24919171C211yesmaximal, characteristic, complemented
13D4×#13050577C211yesmaximal, characteristic, complemented
14#24918989C211yesmaximal, characteristic, complemented
15#24918974C211yesmaximal, characteristic, complemented
16#24918974C211yesmaximal, characteristic, complemented
17#24918959C211yesmaximal, characteristic, complemented
18#24918904C211yesmaximal, characteristic, complemented
19#24918883C211yesmaximal, characteristic, complemented
20#24918810C211yesmaximal, characteristic, complemented
21#24918572C211yesmaximal, characteristic, complemented
22#24918524C211yesmaximal, characteristic, complemented
23#24918490C211yesmaximal, characteristic, complemented
24#24917710C211yesmaximal, characteristic, complemented
25#24917671C211yesmaximal, characteristic, complemented
26#24917597C211yesmaximal, characteristic, complemented
27#24917009C211yesmaximal, characteristic, complemented
28#24916971C211yesmaximal, characteristic, complemented
29C2×#19127903C211yesmaximal, characteristic, complemented
30#24916602C211yesmaximal, characteristic, complemented
31C83×#3552C211yesmaximal, characteristic, complemented
32C2×#14581823C2211yescharacteristic
33C2×#14581817C2211yescharacteristic
34C2×#14581812C2211yescharacteristic
35C22×#13050577C2211yescharacteristic
36C22×#13050577C2211yescharacteristic
37C22×#13050577C2211yescharacteristic
38#19128436C2211yescharacteristic
39#19128411C2211yescharacteristic
40#19128402—21no—
41#19128397C2211yescharacteristic
42#19128391C2211yescharacteristic
43#19128378—21no—
44#19128376—21no—
45#19128355C2211yescharacteristic
46#19128347C2211yescharacteristic
47#19128347C2211yescharacteristic
48#19128340—21no—
49D4×D332C2211yescharacteristic
50#19128322C2211yescharacteristic
51#19128306C2211yescharacteristic
52#19128299—21no—
53#19128285—21no—
54#19128235C2211yescharacteristic
55#19128209—21no—
56#123×D83—21no—
57#19128181C2211yescharacteristic
58#19128175C2211yescharacteristic
59C2×C4×D332C2211yescharacteristic
60#19128093C2211yescharacteristic, complemented
61#19128093C2211yescharacteristic, complemented
62#19128093C2211yescharacteristic, complemented
63#19128091C2211yescharacteristic
64#19128083C2211yescharacteristic, complemented
65#19128075C2211yescharacteristic
66#19128069C2211yescharacteristic, complemented
67#19128069C2211yescharacteristic, complemented
68#19128069C2211yescharacteristic, complemented
69#19128060C2211yescharacteristic, complemented
70#19128055C2211yescharacteristic, complemented
71#19128051C2211yescharacteristic, complemented
72#19128039C2211yescharacteristic, complemented
73#19128039C2211yescharacteristic, complemented
74#19128034C2211yescharacteristic, complemented
75#19128029C2211yescharacteristic, complemented
76#19128029C2211yescharacteristic, complemented
77#19128012C2211yescharacteristic, complemented
78#19128008C2211yescharacteristic, complemented
79#19128008C2211yescharacteristic, complemented
80#19128008C2211yescharacteristic, complemented
81#19128005C2211yescharacteristic, complemented
82#19128001C2211yescharacteristic, complemented
83#19127998C2211yescharacteristic
84#19127998C2211yescharacteristic, complemented
85#19127998C2211yescharacteristic, complemented
86#19127996C2211yescharacteristic, complemented
87#19127986C2211yescharacteristic, complemented
88#19127957C2211yescharacteristic, complemented
89#19127949C2211yescharacteristic
90#19127949C2211yescharacteristic, complemented
91#19127949C2211yescharacteristic, complemented
92#19127940C2211yescharacteristic, complemented
93#19127940C2211yescharacteristic, complemented
94#19127935C2211yescharacteristic
95#19127932C2211yescharacteristic
96#19127932C2211yescharacteristic
97#19127932C2211yescharacteristic, complemented
98#19127932C2211yescharacteristic, complemented
99#19127928C2211yescharacteristic, complemented
100#19127923C2211yescharacteristic, complemented
101#19127923C2211yescharacteristic, complemented
102#19127923C2211yescharacteristic, complemented
103#19127920C2211yescharacteristic, complemented
104#19127920C2211yescharacteristic, complemented
105#19127916C2211yescharacteristic, complemented
106#19127913C2211yescharacteristic
107#19127913C2211yescharacteristic
108#19127913C2211yescharacteristic
109#19127913C2211yescharacteristic, complemented
110#19127913C2211yescharacteristic, complemented
111#19127913C2211yescharacteristic, complemented
112#19127908C2211yescharacteristic, complemented
113#19127908C2211yescharacteristic, complemented
114#19127908C2211yescharacteristic, complemented
115#19127903C2211yescharacteristic
116#19127903C2211yescharacteristic
117#19127903C2211yescharacteristic
118#19127903C2211yescharacteristic
119#19127903C2211yescharacteristic
120#19127903C2211yescharacteristic
121#19127903C2211yescharacteristic, complemented
122#19127903C2211yescharacteristic, complemented
123#19127903C2211yescharacteristic, complemented
124#19127903C2211yescharacteristic, complemented
125#19127903C2211yescharacteristic, complemented
126#19127903C2211yescharacteristic, complemented
127#19127903C2211yescharacteristic, complemented
128#19127901C2211yescharacteristic
129#19127901C2211yescharacteristic
130#19127863C2211yescharacteristic, complemented
131#19127861C2211yescharacteristic
132#19127861C2211yescharacteristic
133#19127857C2211yescharacteristic, complemented
134#19127857C2211yescharacteristic, complemented
135#19127857C2211yescharacteristic, complemented
136#19127851C2211yescharacteristic
137#19127851C2211yescharacteristic
138#19127851C2211yescharacteristic
139#19127846C2211yescharacteristic
140#19127846C2211yescharacteristic, complemented
141#19127846C2211yescharacteristic, complemented
142#19127840C2211yescharacteristic
143#19127840C2211yescharacteristic
144#19127840C2211yescharacteristic
145#19127840C2211yescharacteristic, complemented
146#19127840C2211yescharacteristic, complemented
147#19127834C2211yescharacteristic
148#19127832C2211yescharacteristic, complemented
149#19127832C2211yescharacteristic, complemented
150#19127811C2211yescharacteristic
151#19127811C2211yescharacteristic, complemented
152#19127806C2211yescharacteristic, complemented
153#19127799C2211yescharacteristic
154#19127799C2211yescharacteristic
155#19127799C2211yescharacteristic
156#19127799C2211yescharacteristic, complemented
157#19127799C2211yescharacteristic, complemented
158C4×#13050580C2211yescharacteristic, complemented
159C4×#13050577C2211yescharacteristic
160C4×#13050577C2211yescharacteristic
161C4×#13050577C2211yescharacteristic, complemented
162#19127773C2211yescharacteristic
163#19127773C2211yescharacteristic, complemented
164#19127773C2211yescharacteristic, complemented
165#19127773C2211yescharacteristic, complemented
166D4×C83⋊C8C2211yescharacteristic
167D4×C83⋊C8C2211yescharacteristic, complemented
168#19127762C2211yescharacteristic, complemented
169#19127762C2211yescharacteristic, complemented
170#19127758C2211yescharacteristic, complemented
171#19127728C2211yescharacteristic, complemented
172#19127728C2211yescharacteristic, complemented
173C2×C4⋊(C83⋊C8)C2211yescharacteristic, complemented
174#19127710C2211yescharacteristic, complemented
175#19127702C2211yescharacteristic, complemented
176#19127697C2211yescharacteristic, complemented
177C2×#14581716C2211yescharacteristic, complemented
178C2×#14581716C2211yescharacteristic, complemented
179C2×#14581716C2211yescharacteristic, complemented
180#563×C83—21no—
181#563×C83—21no—
182#557×C83C2211yescharacteristic, complemented
183#556×C83C2211yescharacteristic, complemented
184#554×C83—21no—
185#553×C83—21no—
186D4×Q8×C83C2211yescharacteristic
187D4×Q8×C83C2211yescharacteristic, complemented
188D4×Q8×C83C2211yescharacteristic, complemented
189#548×C83C2211yescharacteristic
190#548×C83C2211yescharacteristic, complemented
191#547×C83C2211yescharacteristic, complemented
192#544×C83—21no—
193#542×C83—21no—
194#541×C83C2211yescharacteristic, complemented
195#541×C83C2211yescharacteristic, complemented
196#539×C83—21no—
197#539×C83—21no—
198#536×C83C2211yescharacteristic, complemented
199#536×C83C2211yescharacteristic, complemented
200C2×C4⋊Q8×C83C2211yescharacteristic, complemented
201#529×C83C2211yescharacteristic
202#529×C83C2211yescharacteristic, complemented
203C2×#13050590C2311yescharacteristic
204C2×#13050589—21no—
205C22×D332C2311yescharacteristic
206C22×D332C2311yescharacteristic
207C2×D4×D83—21no—
208C22×C4×D83—21no—
209#14581823—42no—
210#14581817—42no—
211#14581812—42no—
212C2×#13050580C2311yescharacteristic
213C2×#13050580C2311yescharacteristic
214C2×#13050580C2311yescharacteristic
215C2×#13050580C2311yescharacteristic
216C2×#13050580C2311yescharacteristic
217C2×#13050578C2311yescharacteristic
218C2×#13050577—42no—
219C2×#13050577—42no—
220C2×#13050577—42no—
221C2×#13050577C2311yescharacteristic
222C2×#13050577C2311yescharacteristic
223C2×#13050577C2311yescharacteristic
224C2×#13050577C2311yescharacteristic
225C2×#13050577C2311yescharacteristic
226C2×#13050577C2311yescharacteristic
227C2×#13050577C2311yescharacteristic
228C2×#13050577C2311yescharacteristic
229C2×#13050577C2311yescharacteristic
230C2×#13050577C2311yescharacteristic
231C2×#13050577C2311yescharacteristic
232C2×#13050577C2311yescharacteristic
233C2×#13050577C2311yescharacteristic
234C2×#13050577C2311yescharacteristic
235C2×#13050577C2311yescharacteristic
236C2×#13050575C2311yescharacteristic
237C2×#13050575C2311yescharacteristic
238C2×#13050575C2311yescharacteristic
239C2×#13050574C2311yescharacteristic
240C2×#13050574C2311yescharacteristic
241C22×C83⋊C8C2311yescharacteristic
242C22×C83⋊C8C2311yescharacteristic
243C22×C83⋊C8C2311yescharacteristic
244C22×C83⋊C8C2311yescharacteristic
245#14581792C2311yescharacteristic
246#14581789C2311yescharacteristic
247#14581787—21no—
248#14581787—21no—
249#14581786—21no—
250#14581785—21no—
251#14581784C2311yescharacteristic
252#14581784C2311yescharacteristic
253#14581782—21no—
254#14581781—21no—
255#14581780C2311yescharacteristic
256#14581780C2311yescharacteristic
257#14581778—21no—
258#14581777—21no—
259#14581777—21no—
260#14581777—21no—
261#14581777—21no—
262#14581777—21no—
263#14581777—21no—
264#14581776—21no—
265#14581776—21no—
266#14581775—21no—
267#14581774—21no—
268#14581774—21no—
269#14581773—21no—
270#14581772—21no—
271#14581771C2311yescharacteristic
272#14581771C2311yescharacteristic
273#14581770—21no—
274#14581770—21no—
275#14581770—21no—
276#14581768—21no—
277#14581767—21no—
278#14581766C2311yescharacteristic
279#14581766C2311yescharacteristic
280#14581766C2311yescharacteristic
281#14581766C2311yescharacteristic
282#14581765—21no—
283#14581765—21no—
284#14581765—21no—
285#14581765—21no—
286#14581764—21no—
287#14581762—21no—
288#14581762—21no—
289#14581760—21no—
290#14581760—21no—
291C4×Dic166C2311yescharacteristic
292C4×Dic166C2311yescharacteristic
293C4×D332—21no—
294C4×D332—21no—
295C4×D332C2311yescharacteristic
296C4×D332C2311yescharacteristic
297C4×D332C2311yescharacteristic
298C4×D332C2311yescharacteristic
299C4×D332C2311yescharacteristic
300C4×D332C2311yescharacteristic
301C4×D332C2311yescharacteristic
302C4×D332C2311yescharacteristic
303#14581754—21no—
304#14581754—21no—
305#14581754—21no—
306C4×C22⋊D83—21no—
307(C22⋊D83)⋊C4—21no—
308(C22⋊D83)⋊C4—21no—
309(C22⋊D83)⋊C4—21no—
310#14581751C2311yescharacteristic
311#14581750—21no—
312#14581749—21no—
313#14581748—21no—
314C2×C4⋊Dic83C2311yescharacteristic
315C2×C4⋊Dic83C2311yescharacteristic
316C4⋊C4×D83—21no—
317C4⋊C4×D83—21no—
318C2×(C2×D83)⋊C4—21no—
319C22⋊C4×D83—21no—
320C22⋊C4×D83—21no—
321C22⋊C4×D83—21no—
322C22⋊C4×D83—21no—
323#14581725C2311yescharacteristic
324#14581725C2311yescharacteristic
325#14581725C2311yescharacteristic
326#14581725C2311yescharacteristic
327#14581723C2311yescharacteristic
328#14581723C2311yescharacteristic
329#14581723C2311yescharacteristic
330#14581723C2311yescharacteristic
331C4⋊(C83⋊C8)C2311yescharacteristic
332C4⋊(C83⋊C8)C2311yescharacteristic
333C4⋊(C83⋊C8)C2311yescharacteristic
334C4⋊(C83⋊C8)C2311yescharacteristic
335C4⋊(C83⋊C8)C2311yescharacteristic
336C4⋊(C83⋊C8)C2311yescharacteristic
337C4⋊(C83⋊C8)C2311yescharacteristic
338C4⋊(C83⋊C8)C2311yescharacteristic
339C4⋊(C83⋊C8)C2311yescharacteristic
340C4⋊(C83⋊C8)C2311yescharacteristic
341#14581716C2311yescharacteristic
342#14581716C2311yescharacteristic
343#14581716C2311yescharacteristic
344#14581716C2311yescharacteristic
345#14581716C2311yescharacteristic
346#14581716C2311yescharacteristic
347#14581716C2311yescharacteristic
348#14581716C2311yescharacteristic
349#14581716C2311yescharacteristic
350#14581716C2311yescharacteristic
351#14581716C2311yescharacteristic
352#14581716C2311yescharacteristic
353#14581716C2311yescharacteristic
354#14581716C2311yescharacteristic
355#14581716C2311yescharacteristic
356#14581716C2311yescharacteristic
357#14581716C2311yescharacteristic
358#14581716C2311yescharacteristic
359#14581716C2311yescharacteristic
360#14581716C2311yescharacteristic
361#14581715C2311yescharacteristic
362#14581715C2311yescharacteristic
363#14581713C2311yescharacteristic
364#14581713C2311yescharacteristic
365#14581713C2311yescharacteristic
366#14581713C2311yescharacteristic
367#14581712C2311yescharacteristic
368#14581712C2311yescharacteristic
369#14581712C2311yescharacteristic
370#14581712C2311yescharacteristic
371#14581712C2311yescharacteristic
372#14581712C2311yescharacteristic
373C22⋊(C83⋊C8)C2311yescharacteristic
374C22⋊(C83⋊C8)C2311yescharacteristic
375C22⋊(C83⋊C8)C2311yescharacteristic
376C22⋊(C83⋊C8)C2311yescharacteristic
377C22⋊(C83⋊C8)C2311yescharacteristic
378C22⋊(C83⋊C8)C2311yescharacteristic
379#14581703C2311yescharacteristic
380#14581703C2311yescharacteristic
381#14581703C2311yescharacteristic
382#14581703C2311yescharacteristic
383C4×C83⋊C8C2311yescharacteristic
384C4×C83⋊C8C2311yescharacteristic
385C2×#41×C83C2311yescharacteristic
386C2×#41×C83C2311yescharacteristic
387C22×Q8×C83C2311yescharacteristic
388C22×Q8×C83C2311yescharacteristic
389C22×Q8×C83C2311yescharacteristic
390C22×Q8×C83C2311yescharacteristic
391C4⋊Q8×C83—21no—
392C4⋊Q8×C83—21no—
393C4⋊Q8×C83—21no—
394C4⋊Q8×C83—21no—
395C4⋊Q8×C83—21no—
396C4⋊Q8×C83C2311yescharacteristic
397C4⋊Q8×C83C2311yescharacteristic
398C4⋊Q8×C83C2311yescharacteristic
399C4⋊Q8×C83C2311yescharacteristic
400C4⋊Q8×C83C2311yescharacteristic
401C4⋊Q8×C83C2311yescharacteristic
402#126×C83—21no—
403#126×C83—21no—
404#126×C83—21no—
405#126×C83—21no—
406#126×C83—21no—
407#126×C83—21no—
408#126×C83—21no—
409#126×C83D411yescharacteristic
410#126×C83D411yescharacteristic
411#125×C83—21no—
412#125×C83—21no—
413#125×C83—21no—
414#125×C83—21no—
415#125×C83—21no—
416#125×C83—21no—
417#125×C83—21no—
418#125×C83D411yescharacteristic
419#125×C83C2311yescharacteristic
420#124×C83—21no—
421#124×C83—21no—
422#124×C83D411yescharacteristic
423#124×C83C2311yescharacteristic
424#124×C83C2311yescharacteristic
425#124×C83C2311yescharacteristic
426#123×C83—21no—
427#123×C83—21no—
428#123×C83—21no—
429#123×C83—21no—
430#123×C83—21no—
431#123×C83—21no—
432#123×C83—21no—
433#123×C83D411yescharacteristic
434#123×C83D411yescharacteristic
435C22⋊Q8×C83—21no—
436C22⋊Q8×C83—21no—
437C22⋊Q8×C83—21no—
438C22⋊Q8×C83—21no—
439C22⋊Q8×C83—21no—
440C22⋊Q8×C83—21no—
441C22⋊Q8×C83—21no—
442C22⋊Q8×C83—21no—
443C22⋊Q8×C83—21no—
444C22⋊Q8×C83—21no—
445C22⋊Q8×C83—21no—
446C22⋊Q8×C83—21no—
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83D411yescharacteristic
449C22⋊Q8×C83C2311yescharacteristic
450C22⋊Q8×C83C2311yescharacteristic
451C22⋊Q8×C83C2311yescharacteristic
452C22⋊Q8×C83C2311yescharacteristic
453C22⋊Q8×C83C2311yescharacteristic
454#121×C83—21no—
455#121×C83—21no—
456#121×C83—21no—
457#121×C83D411yescharacteristic
458#121×C83C2311yescharacteristic
459C4×Q8×C83—21no—
460C4×Q8×C83C2311yescharacteristic
461C4×Q8×C83C2311yescharacteristic
462C4×Q8×C83C2311yescharacteristic
463C4×Q8×C83C2311yescharacteristic
464C4×Q8×C83C2311yescharacteristic
465C4×Q8×C83C2311yescharacteristic
466C4×D4×C83—21no—
467C4×D4×C83—21no—
468C4×D4×C83—21no—
469C4×D4×C83—21no—
470C4×D4×C83—21no—
471C4×D4×C83—21no—
472C4×D4×C83C2311yescharacteristic
473C4×D4×C83C2311yescharacteristic
474C4×D4×C83C2311yescharacteristic
475C4×D4×C83C2311yescharacteristic
476#117×C83—21no—
477#117×C83—21no—
478#117×C83C2311yescharacteristic
479#117×C83C2311yescharacteristic
480C2×C4⋊C4×C83—21no—
481C2×C4⋊C4×C83—21no—
482C2×C4⋊C4×C83—21no—
483C2×C42×C83C2311yescharacteristic
484C23×D83—21no—
485C23×D83—21no—
486#13050590—22no—
487#13050590—41no—
488#13050589—82no—
489C2×Dic166—21no—
490C2×Dic166C2411yescharacteristic
491C2×D332—22no—
492C2×D332—22no—
493C2×D332—21no—
494C2×D332—21no—
495C2×D332—21no—
496C2×D332—21no—
497C2×D332—41no—
498C2×D332—41no—
499C2×D332C2411yescharacteristic
500C2×D332C2411yescharacteristic
501C2×D332C2411yescharacteristic
502C2×C22⋊D83—21no—
503C2×C22⋊D83—21no—
504C2×C22⋊D83—21no—
505C2×C22⋊D83—21no—
506C2×C22⋊D83—21no—
507D4×D83—82no—
508C22×Dic83—21no—
509C22×Dic83—21no—
510C2×C4×D83—21no—
511C2×C4×D83—21no—
512C2×C4×D83—21no—
513C2×C4×D83—21no—
514C2×C4×D83—21no—
515C2×C4×D83—21no—
516C2×C4×D83—21no—
517C2×C4×D83—21no—
518C2×C4×D83—21no—
519C2×C4×D83—82no—
520#13050580—41no—
521#13050580—41no—
522#13050580—41no—
523#13050580—41no—
524#13050580—41no—
525#13050578—41no—
526#13050577—22no—
527#13050577—22no—
528#13050577—22no—
529#13050577—22no—
530#13050577—22no—
531#13050577—41no—
532#13050577—41no—
533#13050577—41no—
534#13050577—41no—
535#13050577—41no—
536#13050577—41no—
537#13050577—41no—
538#13050577—41no—
539#13050577—41no—
540#13050577—41no—
541#13050575—22no—
542#13050575—41no—
543#13050575—41no—
544#13050574—41no—
545#13050574—41no—
546C2×C83⋊C8—41no—
547C2×C83⋊C8—41no—
548C2×C83⋊C8—41no—
549C2×C83⋊C8—41no—
550C2×C83⋊C8C2411yescharacteristic
551C2×C83⋊C8C2411yescharacteristic
552C2×C83⋊C8C2411yescharacteristic
553C2×C83⋊C8C2411yescharacteristic
554C2×C83⋊C8C2411yescharacteristic
555C2×C83⋊C8C2411yescharacteristic
556C2×C83⋊C8C2411yescharacteristic
557C2×C83⋊C8C2411yescharacteristic
558C4⋊Dic83—21no—
559C4⋊Dic83—21no—
560C4⋊Dic83—21no—
561C4⋊Dic83C2411yescharacteristic
562C4⋊Dic83C2411yescharacteristic
563C4⋊Dic83C2411yescharacteristic
564C4⋊Dic83C2411yescharacteristic
565Dic83⋊C4—21no—
566Dic83⋊C4—21no—
567Dic83⋊C4—21no—
568Dic83⋊C4—21no—
569Dic83⋊C4—21no—
570Dic83⋊C4—21no—
571Dic83⋊C4—21no—
572Dic83⋊C4—21no—
573C22⋊Dic83—21no—
574C22⋊Dic83—21no—
575C22⋊Dic83—21no—
576(C2×D83)⋊C4—21no—
577(C2×D83)⋊C4—21no—
578(C2×D83)⋊C4—21no—
579(C2×D83)⋊C4—21no—
580(C2×D83)⋊C4—21no—
581(C2×D83)⋊C4—21no—
582(C2×D83)⋊C4—21no—
583(C2×D83)⋊C4—21no—
584(C2×D83)⋊C4—21no—
585(C2×D83)⋊C4—21no—
586(C2×D83)⋊C4—21no—
587(C2×D83)⋊C4—21no—
588(C2×D83)⋊C4—21no—
589(C2×D83)⋊C4—21no—
590(C2×D83)⋊C4—21no—
591(C2×D83)⋊C4—21no—
592C4×Dic83—21no—
593C4×Dic83—21no—
594C4×Dic83—21no—
595#41×C83—41no—
596#41×C83—41no—
597#41×C83—41no—
598#41×C83—41no—
599C2×Q8×C83—21no—
600C2×Q8×C83—21no—
601C2×Q8×C83—21no—
602C2×Q8×C83—21no—
603C2×Q8×C83—41no—
604C2×Q8×C83—41no—
605C2×Q8×C83—41no—
606C2×Q8×C83—41no—
607C2×Q8×C83—41no—
608C2×Q8×C83—41no—
609C2×Q8×C83—41no—
610C2×Q8×C83—41no—
611C2×Q8×C83C2×D411yescharacteristic
612C2×Q8×C83C2411yescharacteristic
613C2×Q8×C83C2411yescharacteristic
614C2×Q8×C83C2411yescharacteristic
615C2×Q8×C83C2411yescharacteristic
616C2×Q8×C83C2411yescharacteristic
617C2×D4×C83—21no—
618C2×D4×C83—21no—
619C2×D4×C83—21no—
620C2×D4×C83C2×D411yescharacteristic
621C2×D4×C83C2×D411yescharacteristic
622C2×D4×C83C2×D411yescharacteristic
623C2×D4×C83C2411yescharacteristic
624C22×C4×C83—21no—
625C22×C4×C83—21no—
626C22×C4×C83—21no—
627C22×C4×C83—21no—
628C22×C4×C83—21no—
629C22×C4×C83—21no—
630C22×C4×C83—21no—
631C22×C4×C83C2×D411yescharacteristic
632C22×C4×C83C2×D411yescharacteristic
633C22×C4×C83C2411yescharacteristic
634C22×C4×C83C2411yescharacteristic
635C22×C4×C83C2411yescharacteristic
636C4⋊C4×C83—21no—
637C4⋊C4×C83—21no—
638C4⋊C4×C83—21no—
639C4⋊C4×C83—21no—
640C4⋊C4×C83—21no—
641C4⋊C4×C83—21no—
642C4⋊C4×C83—21no—
643C4⋊C4×C83—21no—
644C4⋊C4×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83—21no—
648C4⋊C4×C83—21no—
649C4⋊C4×C83—21no—
650C4⋊C4×C83—21no—
651C4⋊C4×C83—21no—
652C4⋊C4×C83—21no—
653C4⋊C4×C83—21no—
654C4⋊C4×C83—21no—
655C4⋊C4×C83—21no—
656C4⋊C4×C83—21no—
657C4⋊C4×C83—21no—
658C4⋊C4×C83—21no—
659C4⋊C4×C83—21no—
660C4⋊C4×C83C2×D411yescharacteristic
661C4⋊C4×C83C2×D411yescharacteristic
662C4⋊C4×C83C2×D411yescharacteristic
663C4⋊C4×C83C2×D411yescharacteristic
664C4⋊C4×C83C2×D411yescharacteristic
665C4⋊C4×C83C2×D411yescharacteristic
666C4⋊C4×C83C2×D411yescharacteristic
667C4⋊C4×C83C2×D411yescharacteristic
668C4⋊C4×C83C2×D411yescharacteristic
669C4⋊C4×C83C2×D411yescharacteristic
670C4⋊C4×C83C2411yescharacteristic
671C4⋊C4×C83C2411yescharacteristic
672C22⋊C4×C83—21no—
673C22⋊C4×C83—21no—
674C22⋊C4×C83—21no—
675C22⋊C4×C83—21no—
676C22⋊C4×C83—21no—
677C22⋊C4×C83—21no—
678C22⋊C4×C83—21no—
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C22⋊C4×C83—21no—
682C22⋊C4×C83—21no—
683C22⋊C4×C83—21no—
684C22⋊C4×C83—21no—
685C22⋊C4×C83C2×D411yescharacteristic
686C22⋊C4×C83C2×D411yescharacteristic
687C22⋊C4×C83C2×D411yescharacteristic
688C22⋊C4×C83C2×D411yescharacteristic
689C22⋊C4×C83C2×D411yescharacteristic
690C22⋊C4×C83C2×D411yescharacteristic
691C22⋊C4×C83C2×D411yescharacteristic
692C22⋊C4×C83C2×D411yescharacteristic
693C22⋊C4×C83C2×D411yescharacteristic
694C22⋊C4×C83C2×D411yescharacteristic
695C42×C83—21no—
696C42×C83—21no—
697C42×C83—21no—
698C42×C83—21no—
699C42×C83—21no—
700C42×C83C2×D411yescharacteristic
701C42×C83C2×D411yescharacteristic
702C42×C83C2411yescharacteristic
703C42×C83C2411yescharacteristic
704C42×C83C2411yescharacteristic
705C42×C83C2411yescharacteristic
706C23×C83—21no—
707C23×C83C22×D411yescharacteristic
708C23×C83C22×D411yescharacteristic
709C23×C83C22×D411yescharacteristic
710C22×D83—21no—
711C22×D83—21no—
712C22×D83—21no—
713C22×D83—42no—
714C22×D83—42no—
715C22×D83—42no—
716C22×D83—81no—
717C22×D83—81no—
718C22×D83—81no—
719Q8×C83—21no—
720Q8×C83—21no—
721Q8×C83—21no—
722Q8×C83—21no—
723Q8×C83—21no—
724Q8×C83—21no—
725Q8×C83—21no—
726Q8×C83—21no—
727Q8×C83—21no—
728Q8×C83—21no—
729Q8×C83—41no—
730Q8×C83—81no—
731Q8×C83—81no—
732Q8×C83—81no—
733Q8×C83—81no—
734D4×C83—22no—
735D4×C83—22no—
736D4×C83—21no—
737D4×C83—21no—
738D4×C83—41no—
739D4×C83—42no—
740D4×C83—81no—
741D4×C83—81no—
742C2×C4×C83—22no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—41no—
757C2×C4×C83—42no—
758C2×C4×C83—81no—
759C2×C4×C83—81no—
760C2×C4×C83—81no—
761C2×C4×C83—81no—
762C2×C4×C83—81no—
763C2×C4×C83—81no—
764C2×C4×C83C22×D411yescharacteristic
765C2×C4×C83C22×D411yescharacteristic
766C2×C4×C83C22×D411yescharacteristic
767C2×C4×C83C22×D411yescharacteristic
768C2×C4×C83C22×D411yescharacteristic
769C2×C4×C83C22×D411yescharacteristic
770C2×C4×C83C22×D411yescharacteristic
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C22×D411yescharacteristic
773C2×C4×C83C22×D411yescharacteristic
774C2×C4×C83C22×D411yescharacteristic
775C2×C4×C83C2511yescharacteristic
776C22⋊D83—42no—
777C22⋊D83—42no—
778C22⋊D83—81no—
779C22⋊D83—81no—
780C22⋊D83—81no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—42no—
787C2×Dic83—81no—
788D332—21no—
789D332—21no—
790D332—21no—
791D332—21no—
792D332—21no—
793D332—42no—
794D332—42no—
795D332—81no—
796D332—81no—
797D332H(5,𝔽2)12yes—
798C4×D83—42no—
799C4×D83—81no—
800C4×D83—81no—
801C4×D83—81no—
802C4×D83—81no—
803C4×D83—81no—
804C4×D83—81no—
805C4×D83—81no—
806C4×D83—81no—
807Dic166—21no—
808Dic166—21no—
809Dic166—81no—
810C83⋊C8—21no—
811C83⋊C8—21no—
812C83⋊C8—21no—
813C83⋊C8—21no—
814C83⋊C8—21no—
815C83⋊C8—21no—
816C83⋊C8—21no—
817C83⋊C8—21no—
818C22×C83—21no—
819C22×C83—21no—
820C22×C83—21no—
821C22×C83—21no—
822C22×C83—21no—
823C22×C83—21no—
824C22×C83—21no—
825C22×C83—21no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83#57712yes—
830C22×C83C23×D411yescharacteristic
831C2×D83—22no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—84no—
841C2×D83—162no—
842C4×C83—21no—
843C4×C83—21no—
844C4×C83—21no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—21no—
848C4×C83—21no—
849C4×C83—21no—
850C4×C83—21no—
851C4×C83—21no—
852C4×C83—21no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83C2×H(5,𝔽2)11yescharacteristic
861C4×C83#58511yescharacteristic
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867#62008—831nomaximal, Sylow
868C2×C83—22no—
869C2×C83—41no—
870C2×C83—41no—
871C2×C83—81no—
872C2×C83#348811yescharacteristic
873C2×C83C2×#57711yescharacteristic
874C2×C83#358611yescharacteristic
875D83—42no—
876D83—81no—
877D83—81no—
878#3552D8311yescharacteristic, complemented
879#3513—831no—
880#3401—831no—
881#3400—831no—
882#3376—831no—
883#3372—831no—
884#3320—831no—
885#3312—831no—
886#3308—831no—
887#3307—831no—
888#3300—831no—
889#3298—831no—
890#3282—831no—
891D4×SD16—831no—
892#3267—831no—
893#3266—831no—
894#3266—831no—
895#3265—831no—
896#3260—831no—
897#3258—831no—
898#3250—831no—
899#3225—831no—
900#3221—831no—
901#3218—831no—
902#3123—831no—
903#3120—831no—
904#3114—831no—
905#3046—831no—
906#3042—831no—
907C2×#461—831no—
908#2992—831no—
909C83#6200811yescharacteristic, complemented, Sylow
910C2×#137—831no—
911C2×AGL(1,ℤ/8)—831no—
912C2×#135—831no—
913C22×SD16—831no—
914C22×SD16—831no—
915C22×SD16—831no—
916#563—21no—
917#563—21no—
918#559—831no—
919#557C2×D8311yescharacteristic, complemented
920#556C2×D8311yescharacteristic, complemented
921#554—21no—
922#554—831no—
923#553—21no—
924#553—831no—
925#553—1661no—
926#552—831no—
927#551—1661no—
928#551—1661no—
929D4×Q8C2×D8311yescharacteristic
930D4×Q8C2×D8311yescharacteristic, complemented
931D4×Q8C2×D8311yescharacteristic, complemented
932#548C2×D8311yescharacteristic
933#548C2×D8311yescharacteristic, complemented
934#547—831no—
935#547C2×D8311yescharacteristic, complemented
936#546—831no—
937#546—831no—
938#546—1661no—
939D42—831no—
940#544—21no—
941#542—21no—
942#542—831no—
943#541C2×D8311yescharacteristic, complemented
944#541C2×D8311yescharacteristic, complemented
945#540—831no—
946#539—21no—
947#539—21no—
948#539—1661no—
949#538—1661no—
950#536C2×D8311yescharacteristic, complemented
951#536C2×D8311yescharacteristic, complemented
952C2×C4⋊Q8C2×D8311yescharacteristic, complemented
953#529—831no—
954#529C2×D8311yescharacteristic
955#529C2×D8311yescharacteristic, complemented
956#525—1661no—
957C2×#123—1661no—
958#520—831no—
959#518—831no—
960C2×C4×D4—831no—
961#497—831no—
962#497—831no—
963#497—831no—
964#496—831no—
965#495—831no—
966#492—831no—
967#491—831no—
968#491—831no—
969#491—831no—
970#489—831no—
971#488—831no—
972#487—831no—
973#485—831no—
974#485—831no—
975#484—831no—
976#483—831no—
977#483—831no—
978#480—831no—
979#479—831no—
980#479—831no—
981#479—831no—
982#479—831no—
983#478—831no—
984#478—831no—
985#478—831no—
986#478—831no—
987#477—831no—
988#475—831no—
989#470—831no—
990#468—831no—
991#468—831no—
992#468—831no—
993#467—831no—
994#467—831no—
995#466—831no—
996#465—831no—
997#465—831no—
998#465—831no—
999#465—831no—
1000#465—831no—
1001#464—831no—
1002#464—831no—
1003#464—831no—
1004#464—831no—
1005#464—831no—
1006#463—831no—
1007#463—831no—
1008#463—831no—
1009#463—831no—
1010#463—831no—
1011#463—831no—
1012#463—831no—
1013#462—831no—
1014#462—831no—
1015#462—831no—
1016#461—831no—
1017#461—831no—
1018#461—831no—
1019#461—831no—
1020#461—831no—
1021#461—831no—
1022#461—831no—
1023#461—831no—
1024#461—831no—
1025#461—831no—
1026#461—831no—
1027#461—831no—
1028#461—831no—
1029#460—831no—
1030#460—831no—
1031#452—831no—
1032#452—831no—
1033#452—831no—
1034#451—831no—
1035#451—831no—
1036#451—831no—
1037#450—831no—
1038#450—831no—
1039#450—831no—
1040#449—831no—
1041#449—831no—
1042#449—831no—
1043#448—831no—
1044#448—831no—
1045#448—831no—
1046#448—831no—
1047#448—831no—
1048#447—831no—
1049#446—831no—
1050#446—831no—
1051#442—831no—
1052#442—831no—
1053#441—831no—
1054#440—831no—
1055#440—831no—
1056#440—831no—
1057#440—831no—
1058#440—831no—
1059C4×Q16—831no—
1060C4×SD16—831no—
1061C4×SD16—831no—
1062C4×SD16—831no—
1063#435—831no—
1064#435—831no—
1065#435—831no—
1066#435—831no—
1067C8×D4—831no—
1068C8×D4—831no—
1069#433—831no—
1070#433—831no—
1071#432—831no—
1072#424—831no—
1073#424—831no—
1074C2×C4⋊C8—831no—
1075#419—831no—
1076#417—831no—
1077#416—831no—
1078C2×#103—831no—
1079C2×#103—831no—
1080C2×#103—831no—
1081C2×#41—831no—
1082C2×#41—1661no—
1083C2×#41C22×D8311yescharacteristic
1084C2×#41C22×D8311yescharacteristic
1085C22×Q8C22×D8311yescharacteristic
1086C22×Q8C22×D8311yescharacteristic
1087C22×Q8C22×D8311yescharacteristic
1088C22×Q8C22×D8311yescharacteristic
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—1661no—
1092C23×C4—1661no—
1093#137—3322no—
1094AGL(1,ℤ/8)—3322no—
1095#135—3322no—
1096C2×Q16—831no—
1097C2×Q16—831no—
1098C2×Q16—831no—
1099C2×Q16—831no—
1100C2×Q16—831no—
1101C2×SD16—3322no—
1102C2×SD16—3322no—
1103C2×SD16—3322no—
1104C2×SD16—831no—
1105C2×SD16—831no—
1106C2×SD16—831no—
1107C2×SD16—831no—
1108C2×SD16—831no—
1109C2×SD16—831no—
1110C2×SD16—831no—
1111C2×SD16—831no—
1112C2×SD16—831no—
1113C2×SD16—831no—
1114C2×SD16—831no—
1115C2×SD16—831no—
1116C2×SD16—831no—
1117C2×SD16—831no—
1118C2×SD16—831no—
1119C2×SD16—831no—
1120C2×D8—831no—
1121C2×D8—831no—
1122C2×D8—831no—
1123C2×M16—831no—
1124C2×M16—831no—
1125C22×C8—831no—
1126C22×C8—831no—
1127C22×C8—831no—
1128C22×C8—831no—
1129C4⋊Q8—21no—
1130C4⋊Q8—21no—
1131C4⋊Q8—21no—
1132C4⋊Q8—21no—
1133C4⋊Q8—21no—
1134C4⋊Q8—831no—
1135C4⋊Q8C22×D8311yescharacteristic
1136C4⋊Q8C22×D8311yescharacteristic
1137C4⋊Q8C22×D8311yescharacteristic
1138C4⋊Q8C22×D8311yescharacteristic
1139C4⋊Q8C22×D8311yescharacteristic
1140C4⋊Q8C22×D8311yescharacteristic
1141#127—831no—
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—1661no—
1150#126—1661no—
1151#126—1661no—
1152#126—1661no—
1153#126C22⋊D8311yescharacteristic
1154#126C22⋊D8311yescharacteristic
1155#125—21no—
1156#125—21no—
1157#125—21no—
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125—21no—
1162#125—831no—
1163#125—831no—
1164#125—1661no—
1165#125C22⋊D8311yescharacteristic
1166#125C22×D8311yescharacteristic
1167#124—21no—
1168#124—21no—
1169#124—831no—
1170#124—831no—
1171#124—1661no—
1172#124—1661no—
1173#124C22⋊D8311yescharacteristic
1174#124C22×D8311yescharacteristic
1175#124C22×D8311yescharacteristic
1176#124C22×D8311yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—1661no—
1185#123—1661no—
1186#123—1661no—
1187#123—1661no—
1188#123—1661no—
1189#123—1661no—
1190#123—1661no—
1191#123—1661no—
1192#123—1661no—
1193#123—1661no—
1194#123—1661no—
1195#123—1661no—
1196#123C22⋊D8311yescharacteristic
1197#123C22⋊D8311yescharacteristic
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—831no—
1212C22⋊Q8—831no—
1213C22⋊Q8—1661no—
1214C22⋊Q8—1661no—
1215C22⋊Q8—1661no—
1216C22⋊Q8—1661no—
1217C22⋊Q8—1661no—
1218C22⋊Q8C22⋊D8311yescharacteristic
1219C22⋊Q8C22×D8311yescharacteristic
1220C22⋊Q8C22×D8311yescharacteristic
1221C22⋊Q8C22×D8311yescharacteristic
1222C22⋊Q8C22×D8311yescharacteristic
1223C22⋊Q8C22×D8311yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—831no—
1228#121—831no—
1229#121—831no—
1230#121—831no—
1231#121—1661no—
1232#121—1661no—
1233#121—1661no—
1234#121—1661no—
1235#121—1661no—
1236#121—1661no—
1237#121C22⋊D8311yescharacteristic
1238#121C22×D8311yescharacteristic
1239#120—1661no—
1240#120—1661no—
1241#120—1661no—
1242#120—1661no—
1243C4×Q8—21no—
1244C4×Q8—831no—
1245C4×Q8—831no—
1246C4×Q8C22×D8311yescharacteristic
1247C4×Q8C22×D8311yescharacteristic
1248C4×Q8C22×D8311yescharacteristic
1249C4×Q8C22×D8311yescharacteristic
1250C4×Q8C22×D8311yescharacteristic
1251C4×Q8C22×D8311yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—831no—
1259C4×D4—831no—
1260C4×D4—831no—
1261C4×D4—831no—
1262C4×D4—831no—
1263C4×D4—831no—
1264C4×D4—831no—
1265C4×D4—831no—
1266C4×D4—1661no—
1267C4×D4—1661no—
1268C4×D4—1661no—
1269C4×D4—1661no—
1270C4×D4—1661no—
1271C4×D4—1661no—
1272C4×D4—1661no—
1273C4×D4—1661no—
1274C4×D4—1661no—
1275C4×D4C22×D8311yescharacteristic
1276C4×D4C22×D8311yescharacteristic
1277C4×D4C22×D8311yescharacteristic
1278C4×D4C22×D8311yescharacteristic
1279#117—21no—
1280#117—21no—
1281#117—831no—
1282#117—1661no—
1283#117—1661no—
1284#117—1661no—
1285#117C22×D8311yescharacteristic
1286#117C22×D8311yescharacteristic
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—21no—
1290C2×C4⋊C4—831no—
1291C2×C4⋊C4—831no—
1292C2×C4⋊C4—1661no—
1293C2×C4⋊C4—1661no—
1294C2×C22⋊C4—1661no—
1295C2×C22⋊C4—1661no—
1296C2×C22⋊C4—1661no—
1297C2×C22⋊C4—1661no—
1298C2×C22⋊C4—1661no—
1299C2×C42C22×D8311yescharacteristic
1300#107—831no—
1301#107—831no—
1302#107—831no—
1303#107—831no—
1304#106—831no—
1305#106—831no—
1306#106—831no—
1307#106—831no—
1308C4⋊C8—831no—
1309C4⋊C8—831no—
1310C4⋊C8—831no—
1311C4⋊C8—831no—
1312C4⋊C8—831no—
1313C4⋊C8—831no—
1314C4⋊C8—831no—
1315C4⋊C8—831no—
1316C4⋊C8—831no—
1317C4⋊C8—831no—
1318#103—831no—
1319#103—831no—
1320#103—831no—
1321#103—831no—
1322#103—831no—
1323#103—831no—
1324#103—831no—
1325#103—831no—
1326#103—831no—
1327#103—831no—
1328#103—831no—
1329#103—831no—
1330#103—831no—
1331#103—831no—
1332#103—831no—
1333#103—831no—
1334#103—831no—
1335#103—831no—
1336#103—831no—
1337#103—831no—
1338#103—831no—
1339#103—831no—
1340#102—831no—
1341#102—831no—
1342#102—831no—
1343#102—831no—
1344#102—831no—
1345#102—831no—
1346#102—831no—
1347#102—831no—
1348#102—831no—
1349#102—831no—
1350C22⋊C8—831no—
1351C22⋊C8—831no—
1352C22⋊C8—831no—
1353C22⋊C8—831no—
1354C22⋊C8—831no—
1355C22⋊C8—831no—
1356#97—831no—
1357#97—831no—
1358#97—831no—
1359#97—831no—
1360C4×C8—831no—
1361C4×C8—831no—
1362C24—1661no—
1363C24—1661no—
1364#41—41no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—3321no—
1369#41—6642no—
1370#41—1662no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8—41no—
1382C2×Q8—41no—
1383C2×Q8—831no—
1384C2×Q8—1661no—
1385C2×Q8C2×C22⋊D8311yescharacteristic
1386C2×Q8C23×D8311yescharacteristic
1387C2×Q8C23×D8311yescharacteristic
1388C2×Q8C23×D8311yescharacteristic
1389C2×Q8C23×D8311yescharacteristic
1390C2×Q8C23×D8311yescharacteristic
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—3321no—
1395C2×D4—3321no—
1396C2×D4—831no—
1397C2×D4—831no—
1398C2×D4—831no—
1399C2×D4—6642no—
1400C2×D4—1662no—
1401C2×D4—1662no—
1402C2×D4—1661no—
1403C2×D4—1661no—
1404C2×D4—1661no—
1405C2×D4—1661no—
1406C2×D4—1661no—
1407C2×D4—1661no—
1408C2×D4—1661no—
1409C2×D4—1661no—
1410C2×D4—1661no—
1411C2×D4C2×C22⋊D8311yescharacteristic
1412C2×D4C2×C22⋊D8311yescharacteristic
1413C2×D4C2×C22⋊D8311yescharacteristic
1414C2×D4C23×D8311yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—6642no—
1423C22×C4—1661no—
1424C22×C4—1661no—
1425C22×C4—1661no—
1426C22×C4—1661no—
1427C22×C4—1661no—
1428C22×C4—1661no—
1429C22×C4—1661no—
1430C22×C4—1661no—
1431C22×C4—1661no—
1432C22×C4—1661no—
1433C22×C4—1661no—
1434C22×C4C2×C22⋊D8311yescharacteristic
1435C22×C4C2×C22⋊D8311yescharacteristic
1436C22×C4C23×D8311yescharacteristic
1437C22×C4C23×D8311yescharacteristic
1438C22×C4C23×D8311yescharacteristic
1439Q16—3321no—
1440Q16—3321no—
1441Q16—3321no—
1442Q16—3321no—
1443Q16—3321no—
1444SD16—3321no—
1445SD16—3321no—
1446SD16—3321no—
1447SD16—3321no—
1448SD16—3321no—
1449SD16—3321no—
1450SD16—3321no—
1451SD16—3321no—
1452SD16—3321no—
1453SD16—3321no—
1454SD16—3321no—
1455SD16—1662no—
1456SD16—1662no—
1457SD16—1662no—
1458SD16—1662no—
1459SD16—1662no—
1460D8—3321no—
1461D8—3321no—
1462D8—1662no—
1463M16—3321no—
1464M16—3321no—
1465C2×C8—3321no—
1466C2×C8—3321no—
1467C2×C8—3321no—
1468C2×C8—3321no—
1469C2×C8—831no—
1470C2×C8—831no—
1471C2×C8—831no—
1472C2×C8—831no—
1473C2×C8—831no—
1474C2×C8—831no—
1475C2×C8—831no—
1476C2×C8—831no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—831no—
1502C4⋊C4—831no—
1503C4⋊C4—831no—
1504C4⋊C4—831no—
1505C4⋊C4—1661no—
1506C4⋊C4—1661no—
1507C4⋊C4—1661no—
1508C4⋊C4—1661no—
1509C4⋊C4—1661no—
1510C4⋊C4—1661no—
1511C4⋊C4—1661no—
1512C4⋊C4—1661no—
1513C4⋊C4—1661no—
1514C4⋊C4—1661no—
1515C4⋊C4—1661no—
1516C4⋊C4C2×C22⋊D8311yescharacteristic
1517C4⋊C4C2×C22⋊D8311yescharacteristic
1518C4⋊C4C2×C22⋊D8311yescharacteristic
1519C4⋊C4C2×C22⋊D8311yescharacteristic
1520C4⋊C4C2×C22⋊D8311yescharacteristic
1521C4⋊C4C2×C22⋊D8311yescharacteristic
1522C4⋊C4C2×C22⋊D8311yescharacteristic
1523C4⋊C4C2×C22⋊D8311yescharacteristic
1524C4⋊C4C2×C22⋊D8311yescharacteristic
1525C4⋊C4C2×C22⋊D8311yescharacteristic
1526C4⋊C4C23×D8311yescharacteristic
1527C4⋊C4C23×D8311yescharacteristic
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—1661no—
1542C22⋊C4—1661no—
1543C22⋊C4—1661no—
1544C22⋊C4—1661no—
1545C22⋊C4—1661no—
1546C22⋊C4—1661no—
1547C22⋊C4—1661no—
1548C22⋊C4—1661no—
1549C22⋊C4—1661no—
1550C22⋊C4—1661no—
1551C22⋊C4—1661no—
1552C22⋊C4—1661no—
1553C22⋊C4—1661no—
1554C22⋊C4—1661no—
1555C22⋊C4—1661no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4—1661no—
1560C22⋊C4C2×C22⋊D8311yescharacteristic
1561C22⋊C4C2×C22⋊D8311yescharacteristic
1562C22⋊C4C2×C22⋊D8311yescharacteristic
1563C22⋊C4C2×C22⋊D8311yescharacteristic
1564C22⋊C4C2×C22⋊D8311yescharacteristic
1565C22⋊C4C2×C22⋊D8311yescharacteristic
1566C22⋊C4C2×C22⋊D8311yescharacteristic
1567C22⋊C4C2×C22⋊D8311yescharacteristic
1568C22⋊C4C2×C22⋊D8311yescharacteristic
1569C22⋊C4C2×C22⋊D8311yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42—21no—
1575C42—1661no—
1576C42—1661no—
1577C42—1661no—
1578C42C2×C22⋊D8311yescharacteristic
1579C42C2×C22⋊D8311yescharacteristic
1580C42C23×D8311yescharacteristic
1581C42C23×D8311yescharacteristic
1582C42C23×D8311yescharacteristic
1583C42C23×D8311yescharacteristic
1584C23—21no—
1585C23—3322no—
1586C23—3322no—
1587C23—3322no—
1588C23—6641no—
1589C23—6641no—
1590C23—6641no—
1591C23—1661no—
1592C23—1661no—
1593C23—1661no—
1594C23C22×C22⋊D8311yescharacteristic
1595C23C22×C22⋊D8311yescharacteristic
1596C23C22×C22⋊D8311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—41no—
1608Q8—81no—
1609Q8—81no—
1610Q8—81no—
1611Q8—81no—
1612Q8—6641no—
1613Q8—1661no—
1614Q8—1661no—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—41no—
1620D4—42no—
1621D4—81no—
1622D4—81no—
1623D4—3322no—
1624D4—3322no—
1625D4—3322no—
1626D4—3322no—
1627D4—832no—
1628D4—6641no—
1629D4—6641no—
1630D4—6641no—
1631D4—6641no—
1632D4—6641no—
1633D4—1661no—
1634D4—1661no—
1635D4—1661no—
1636D4—1661no—
1637D4—1661no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—42no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—3322no—
1661C2×C4—3322no—
1662C2×C4—6641no—
1663C2×C4—6641no—
1664C2×C4—6641no—
1665C2×C4—6641no—
1666C2×C4—6641no—
1667C2×C4—6641no—
1668C2×C4—6641no—
1669C2×C4—6641no—
1670C2×C4—6641no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4C22×C22⋊D8311yescharacteristic
1677C2×C4C22×C22⋊D8311yescharacteristic
1678C2×C4C22×C22⋊D8311yescharacteristic
1679C2×C4C22×C22⋊D8311yescharacteristic
1680C2×C4C22×C22⋊D8311yescharacteristic
1681C2×C4C22×C22⋊D8311yescharacteristic
1682C2×C4C22×C22⋊D8311yescharacteristic
1683C2×C4C22×C22⋊D8311yescharacteristic
1684C2×C4C22×C22⋊D8311yescharacteristic
1685C2×C4C22×C22⋊D8311yescharacteristic
1686C2×C4C22×C22⋊D8311yescharacteristic
1687C2×C4C24×D8311yescharacteristic
1688C8—1661no—
1689C8—1661no—
1690C8—1661no—
1691C8—1661no—
1692C8—1661no—
1693C8—1661no—
1694C8—1661no—
1695C8—1661no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—13282no—
1708C22—3321no—
1709C22—3321no—
1710C22—3321no—
1711C22—3321no—
1712C22—3321no—
1713C22—3321no—
1714C22—3321no—
1715C22—3321no—
1716C22—6644no—
1717C22—1662no—
1718C22#1912850912yes—
1719C22C23×C22⋊D8311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—3321no—
1739C4—3321no—
1740C4—3321no—
1741C4—3321no—
1742C4—3321no—
1743C4H(5,𝔽2)×D8311yescharacteristic
1744C4#1912853611yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—81no—
1749C2—3322no—
1750C2—6641no—
1751C2—6641no—
1752C2#2492112511yescharacteristic
1753C2C2×#1912850911yescharacteristic
1754C2#2492225011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3552C2
socleC22×C83C23×D4
hypercenter#3552D83
hypocenterC83#62008
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #529 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #24921407C2semidirect
2. #24920529C2semidirect
3. #24920512C2semidirect
4. #24920284C2semidirect
5. #24920240C2semidirect
6. #24919634C2semidirect
7. #24919514C2semidirect
8. #24919454C2semidirect
9. #24919439C2semidirect
10. #24919350C2semidirect
11. #24919328C2semidirect
12. #24919171C2semidirect
13. D4×#13050577C2semidirect
14. #24918989C2semidirect
15. #24918974C2semidirect
16. #24918974C2semidirect
17. #24918959C2semidirect
18. #24918904C2semidirect
19. #24918883C2semidirect
20. #24918810C2semidirect
21. #24918572C2semidirect
22. #24918524C2semidirect
23. #24918490C2semidirect
24. #24917710C2semidirect
25. #24917671C2semidirect
26. #24917597C2semidirect
27. #24917009C2semidirect
28. #24916971C2semidirect
29. C2×#19127903C2semidirect
30. #24916602C2semidirect
31. C83×#3552C2semidirect
60. #19128093C22semidirect
61. #19128093C22semidirect
62. #19128093C22semidirect
64. #19128083C22semidirect
66. #19128069C22semidirect
67. #19128069C22semidirect
68. #19128069C22semidirect
69. #19128060C22semidirect
70. #19128055C22semidirect
71. #19128051C22semidirect
72. #19128039C22semidirect
73. #19128039C22semidirect
74. #19128034C22semidirect
75. #19128029C22semidirect
76. #19128029C22semidirect
77. #19128012C22semidirect
78. #19128008C22semidirect
79. #19128008C22semidirect
80. #19128008C22semidirect
81. #19128005C22semidirect
82. #19128001C22semidirect
84. #19127998C22semidirect
85. #19127998C22semidirect
86. #19127996C22semidirect
87. #19127986C22semidirect
88. #19127957C22semidirect
90. #19127949C22semidirect
91. #19127949C22semidirect
92. #19127940C22semidirect
93. #19127940C22semidirect
97. #19127932C22semidirect
98. #19127932C22semidirect
99. #19127928C22semidirect
100. #19127923C22semidirect
101. #19127923C22semidirect
102. #19127923C22semidirect
103. #19127920C22semidirect
104. #19127920C22semidirect
105. #19127916C22semidirect
109. #19127913C22semidirect
110. #19127913C22semidirect
111. #19127913C22semidirect
112. #19127908C22semidirect
113. #19127908C22semidirect
114. #19127908C22semidirect
121. #19127903C22semidirect
122. #19127903C22semidirect
123. #19127903C22semidirect
124. #19127903C22semidirect
125. #19127903C22semidirect
126. #19127903C22semidirect
127. #19127903C22semidirect
130. #19127863C22semidirect
133. #19127857C22semidirect
134. #19127857C22semidirect
135. #19127857C22semidirect
140. #19127846C22semidirect
141. #19127846C22semidirect
145. #19127840C22semidirect
146. #19127840C22semidirect
148. #19127832C22semidirect
149. #19127832C22semidirect
151. #19127811C22semidirect
152. #19127806C22semidirect
156. #19127799C22semidirect
157. #19127799C22semidirect
158. C4×#13050580C22semidirect
161. C4×#13050577C22semidirect
163. #19127773C22semidirect
164. #19127773C22semidirect
165. #19127773C22semidirect
167. D4×C83⋊C8C22semidirect
168. #19127762C22semidirect
169. #19127762C22semidirect
170. #19127758C22semidirect
171. #19127728C22semidirect
172. #19127728C22semidirect
173. C2×C4⋊(C83⋊C8)C22semidirect
174. #19127710C22semidirect
175. #19127702C22semidirect
176. #19127697C22semidirect
177. C2×#14581716C22semidirect
178. C2×#14581716C22semidirect
179. C2×#14581716C22semidirect
182. #557×C83C22semidirect
183. #556×C83C22semidirect
187. D4×Q8×C83C22semidirect
188. D4×Q8×C83C22semidirect
190. #548×C83C22semidirect
191. #547×C83C22semidirect
194. #541×C83C22semidirect
195. #541×C83C22semidirect
198. #536×C83C22semidirect
199. #536×C83C22semidirect
200. C2×C4⋊Q8×C83C22semidirect
202. #529×C83C22semidirect
878. #3552D83semidirect
909. C83#62008semidirect
919. #557C2×D83semidirect
920. #556C2×D83semidirect
930. D4×Q8C2×D83semidirect
931. D4×Q8C2×D83semidirect
933. #548C2×D83semidirect
935. #547C2×D83semidirect
943. #541C2×D83semidirect
944. #541C2×D83semidirect
950. #536C2×D83semidirect
951. #536C2×D83semidirect
952. C2×C4⋊Q8C2×D83semidirect
955. #529C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249214072
#249205292
#249205122
#249202842
#249202402
#249196342
#249195142
#249194542
#249194392
#249193502
#249193282
#249191712
D4×#130505772
#249189892
#249189742
#249189592
#249189042
#249188832
#249188102
#249185722
#249185242
#249184902
#249177102
#249176712
#249175972
#249170092
#249169712
C2×#191279032
#249166022
C83×#35522
#6200883