Finite Group Databasebeta

← #36289200

Subgroups — #36289200

Order 21248.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921500C211yesmaximal, characteristic, complemented
2#41×C22⋊D83C211yesmaximal, characteristic, complemented
3#24919398C211yesmaximal, characteristic, complemented
4#24919376C211yesmaximal, characteristic, complemented
5#24919354C211yesmaximal, characteristic, complemented
6#24919351C211yesmaximal, characteristic, complemented
7#24919321C211yesmaximal, characteristic, complemented
8#24919302C211yesmaximal, characteristic, complemented
9#24919299C211yesmaximal, characteristic, complemented
10#24919269C211yesmaximal, characteristic, complemented
11#24919208C211yesmaximal, characteristic, complemented
12#24919198C211yesmaximal, characteristic, complemented
13#24919197C211yesmaximal, characteristic, complemented
14#24919187C211yesmaximal, characteristic, complemented
15#24919179C211yesmaximal, characteristic, complemented
16#24919174C211yesmaximal, characteristic, complemented
17#24919164C211yesmaximal, characteristic, complemented
18#24919157C211yesmaximal, characteristic, complemented
19#24918436C211yesmaximal, characteristic, complemented
20#24918417C211yesmaximal, characteristic, complemented
21#24918253C211yesmaximal, characteristic, complemented
22#24918251C211yesmaximal, characteristic, complemented
23#24918246C211yesmaximal, characteristic, complemented
24#24918242C211yesmaximal, characteristic, complemented
25#24917527C211yesmaximal, characteristic, complemented
26#24917474C211yesmaximal, characteristic, complemented
27#24916678C211yesmaximal, characteristic, complemented
28C2×#19127863C211yesmaximal, characteristic, complemented
29#452×D83C211yesmaximal, characteristic, complemented
30#24916485C211yesmaximal, characteristic, complemented
31C83×#3002C211yesmaximal, characteristic, complemented
32C2×#41×D83C2211yescharacteristic
33C2×#14581813C2211yescharacteristic, complemented
34C2×#14581811C2211yescharacteristic, complemented
35C22×#13050580C2211yescharacteristic, complemented
36C2×Q16×D83C2211yescharacteristic, complemented
37C22×#13050578C2211yescharacteristic, complemented
38C2×SD16×D83C2211yescharacteristic, complemented
39#19128419C2211yescharacteristic, complemented
40#19128410—21no—
41#19128393C2211yescharacteristic, complemented
42#19128390C2211yescharacteristic, complemented
43#19128382—21no—
44#19128380—21no—
45#19128370C2211yescharacteristic
46Q8×C22⋊D83C2211yescharacteristic
47#19128364C2211yescharacteristic
48#19128362C2211yescharacteristic
49#19128358C2211yescharacteristic
50#19128358C2211yescharacteristic, complemented
51#19128357C2211yescharacteristic, complemented
52#19128351C2211yescharacteristic
53#19128350—21no—
54#19128350C2211yescharacteristic
55#19128350C2211yescharacteristic, complemented
56#19128345—21no—
57#19128345C2211yescharacteristic
58#19128339—21no—
59#19128339C2211yescharacteristic
60#19128338—21no—
61D4×C22⋊D83—21no—
62D4×C22⋊D83C2211yescharacteristic
63#19128319—21no—
64#19128294—21no—
65#19128293—21no—
66#19128253C2211yescharacteristic, complemented
67#19128247—21no—
68#19128247C2211yescharacteristic
69#19128232C2211yescharacteristic, complemented
70#19128212—21no—
71#19128212C2211yescharacteristic
72#19128211C2211yescharacteristic, complemented
73#19128208—21no—
74#19128208C2211yescharacteristic
75C2×#14581771C2211yescharacteristic, complemented
76C22⋊Q8×D83C2211yescharacteristic, complemented
77#19128180—21no—
78#41×Dic83C2211yescharacteristic
79C2×C4×C22⋊D83—21no—
80C2×C4×C22⋊D83C2211yescharacteristic
81#19128084C2211yescharacteristic, complemented
82#19128082C2211yescharacteristic, complemented
83#19128079C2211yescharacteristic, complemented
84#19128072C2211yescharacteristic, complemented
85#19128057C2211yescharacteristic, complemented
86#19128054C2211yescharacteristic, complemented
87#19128050C2211yescharacteristic, complemented
88#19128046C2211yescharacteristic, complemented
89#19128043C2211yescharacteristic, complemented
90#19128043C2211yescharacteristic, complemented
91#19128042C2211yescharacteristic, complemented
92#19128041C2211yescharacteristic, complemented
93#19128039C2211yescharacteristic, complemented
94#19128032C2211yescharacteristic, complemented
95#19128030C2211yescharacteristic, complemented
96#19128025C2211yescharacteristic, complemented
97#19128024C2211yescharacteristic, complemented
98#19128022C2211yescharacteristic, complemented
99#19128015C2211yescharacteristic, complemented
100#19128013C2211yescharacteristic, complemented
101#19128010C2211yescharacteristic, complemented
102#19128003C2211yescharacteristic, complemented
103#19127984C2211yescharacteristic, complemented
104#19127979C2211yescharacteristic, complemented
105#19127942C2211yescharacteristic, complemented
106#19127942C2211yescharacteristic, complemented
107#19127941C2211yescharacteristic, complemented
108#19127941C2211yescharacteristic, complemented
109#19127940C2211yescharacteristic, complemented
110#19127939C2211yescharacteristic, complemented
111#19127935C2211yescharacteristic, complemented
112#19127934C2211yescharacteristic, complemented
113#19127932C2211yescharacteristic, complemented
114#19127930C2211yescharacteristic, complemented
115#19127930C2211yescharacteristic, complemented
116#19127929C2211yescharacteristic, complemented
117#19127929C2211yescharacteristic, complemented
118#19127928C2211yescharacteristic, complemented
119#19127927C2211yescharacteristic, complemented
120#19127927C2211yescharacteristic, complemented
121#19127926C2211yescharacteristic, complemented
122#19127925C2211yescharacteristic, complemented
123#19127922C2211yescharacteristic, complemented
124#19127921C2211yescharacteristic, complemented
125#19127921C2211yescharacteristic, complemented
126#19127914C2211yescharacteristic, complemented
127#19127910C2211yescharacteristic, complemented
128#19127909C2211yescharacteristic, complemented
129#19127904C2211yescharacteristic, complemented
130#19127904C2211yescharacteristic, complemented
131#19127900C2211yescharacteristic, complemented
132#19127894C2211yescharacteristic, complemented
133#19127866C2211yescharacteristic, complemented
134#19127865C2211yescharacteristic, complemented
135#19127865C2211yescharacteristic, complemented
136#19127864C2211yescharacteristic, complemented
137#19127863C2211yescharacteristic
138#19127863C2211yescharacteristic
139#19127863C2211yescharacteristic, complemented
140#19127863C2211yescharacteristic, complemented
141#19127863C2211yescharacteristic, complemented
142#19127863C2211yescharacteristic, complemented
143#19127863C2211yescharacteristic, complemented
144#19127863C2211yescharacteristic, complemented
145#19127863C2211yescharacteristic, complemented
146#19127862C2211yescharacteristic, complemented
147#19127861C2211yescharacteristic, complemented
148#19127860C2211yescharacteristic, complemented
149#19127860C2211yescharacteristic, complemented
150#19127859C2211yescharacteristic, complemented
151#19127858C2211yescharacteristic, complemented
152#19127855C2211yescharacteristic, complemented
153#19127853C2211yescharacteristic, complemented
154#19127846C2211yescharacteristic, complemented
155#19127844C2211yescharacteristic, complemented
156#19127843C2211yescharacteristic, complemented
157#19127842C2211yescharacteristic, complemented
158#19127838C2211yescharacteristic, complemented
159#19127838C2211yescharacteristic, complemented
160#19127833C2211yescharacteristic, complemented
161Q16×Dic83C2211yescharacteristic, complemented
162#19127793C2211yescharacteristic, complemented
163#19127793C2211yescharacteristic, complemented
164#19127792C2211yescharacteristic, complemented
165#19127792C2211yescharacteristic, complemented
166SD16×Dic83C2211yescharacteristic, complemented
167SD16×Dic83C2211yescharacteristic, complemented
168D8×Dic83C2211yescharacteristic, complemented
169C8×C22⋊D83C2211yescharacteristic, complemented
170C8×C22⋊D83C2211yescharacteristic, complemented
171C8×C22⋊D83C2211yescharacteristic, complemented
172C8×C22⋊D83C2211yescharacteristic, complemented
173(C22⋊D83)⋊C8C2211yescharacteristic
174(C22⋊D83)⋊C8C2211yescharacteristic
175(C22⋊D83)⋊C8C2211yescharacteristic, complemented
176(C22⋊D83)⋊C8C2211yescharacteristic, complemented
177#19127751C2211yescharacteristic, complemented
178#19127751C2211yescharacteristic, complemented
179#19127696C2211yescharacteristic, complemented
180#19127694C2211yescharacteristic, complemented
181C2×#14581716C2211yescharacteristic, complemented
182#103×D83C2211yescharacteristic, complemented
183C2×#14581713C2211yescharacteristic, complemented
184#102×D83C2211yescharacteristic, complemented
185C2×C22⋊(C83⋊C8)C2211yescharacteristic, complemented
186C22⋊C8×D83C2211yescharacteristic, complemented
187C22⋊C8×D83C2211yescharacteristic, complemented
188C22×#41×C83C2211yescharacteristic
189C2×#135×C83C2211yescharacteristic, complemented
190C2×#135×C83C2211yescharacteristic, complemented
191#525×C83C2211yescharacteristic, complemented
192#452×C83C2211yescharacteristic
193#452×C83C2211yescharacteristic, complemented
194#451×C83C2211yescharacteristic, complemented
195#450×C83C2211yescharacteristic, complemented
196#449×C83C2211yescharacteristic
197#449×C83C2211yescharacteristic, complemented
198#448×C83C2211yescharacteristic, complemented
199#447×C83C2211yescharacteristic, complemented
200#416×C83C2211yescharacteristic, complemented
201#416×C83C2211yescharacteristic, complemented
202C2×C22⋊C8×C83C2211yescharacteristic, complemented
203C2×#13050591C2311yescharacteristic
204C2×#13050590—21no—
205C2×#13050590C2311yescharacteristic
206C2×#13050589—21no—
207C2×#13050589—21no—
208C2×#13050589C2311yescharacteristic
209C2×#13050589C2311yescharacteristic
210#41×D83—42no—
211#41×D83—42no—
212C22×Dic166C2311yescharacteristic
213C2×Q8×D83C2311yescharacteristic
214C2×Q8×D83C2311yescharacteristic
215C22×C22⋊D83—21no—
216C22×C22⋊D83D411yescharacteristic
217C2×D4×D83—21no—
218C2×D4×D83C2311yescharacteristic
219C22×C4×D83—21no—
220C22×C4×D83C2311yescharacteristic
221#14581813—42no—
222#14581811—42no—
223C2×Dic332C2311yescharacteristic
224C2×Dic332C2311yescharacteristic
225C2×#13050580—42no—
226C2×#13050580C2311yescharacteristic
227C2×#13050580C2311yescharacteristic
228C2×#13050580C2311yescharacteristic
229C2×#13050580C2311yescharacteristic
230C2×#13050580C2311yescharacteristic
231Q16×D83—42no—
232C2×#13050579C2311yescharacteristic
233C2×#13050579C2311yescharacteristic
234C2×#13050578—42no—
235C2×#13050578C2311yescharacteristic
236C2×#13050578C2311yescharacteristic
237C2×#13050578C2311yescharacteristic
238C2×#13050578C2311yescharacteristic
239C2×#13050578C2311yescharacteristic
240C2×#13050577C2311yescharacteristic
241SD16×D83—42no—
242C2×#13050575C2311yescharacteristic
243C22×C83⋊C8C2311yescharacteristic
244C22×C83⋊C8C2311yescharacteristic
245C2×C8×D83C2311yescharacteristic
246C2×C8×D83C2311yescharacteristic
247C2×C8×D83C2311yescharacteristic
248C2×C8×D83C2311yescharacteristic
249#14581791—21no—
250#14581791C2311yescharacteristic
251#14581790—21no—
252#14581790C2311yescharacteristic
253#14581790C2311yescharacteristic
254#14581788—21no—
255#14581788C2311yescharacteristic
256#14581787—21no—
257#14581786—21no—
258#14581785—21no—
259#14581785—21no—
260#14581785—21no—
261#14581784—21no—
262#14581783—21no—
263#14581783C2311yescharacteristic
264#14581782—21no—
265#14581781—21no—
266#14581781C2311yescharacteristic
267#14581779—21no—
268#14581779—21no—
269#14581779C2311yescharacteristic
270#14581779C2311yescharacteristic
271#14581778—21no—
272#14581778—21no—
273#14581776—21no—
274#14581775—21no—
275#14581775—21no—
276#14581775—21no—
277#14581775—21no—
278#14581774—21no—
279#14581774—21no—
280#14581774—21no—
281#14581773—21no—
282#14581773—21no—
283#14581773—21no—
284#14581773—21no—
285#14581773—21no—
286#14581773—21no—
287#14581772C2311yescharacteristic
288#14581772C2311yescharacteristic
289#14581771—21no—
290#14581771—21no—
291#14581771—21no—
292#14581771—21no—
293#14581771—21no—
294#14581771C2311yescharacteristic
295#14581771C2311yescharacteristic
296#14581771C2311yescharacteristic
297#14581771C2311yescharacteristic
298#14581771C2311yescharacteristic
299#14581771C2311yescharacteristic
300#14581770—21no—
301#14581770—21no—
302#14581769—21no—
303#14581769—21no—
304#14581769—21no—
305#14581769—21no—
306#14581769—21no—
307#14581768—21no—
308#14581768—21no—
309#14581768C2311yescharacteristic
310#14581768C2311yescharacteristic
311#14581768C2311yescharacteristic
312#14581766—21no—
313#14581766—21no—
314#14581766C2311yescharacteristic
315#14581766C2311yescharacteristic
316#14581764—21no—
317#14581764—21no—
318#14581764—21no—
319#14581764—21no—
320#14581764—21no—
321#14581764—21no—
322#14581764—21no—
323#14581764—21no—
324#14581763—21no—
325#14581763—21no—
326#14581763—21no—
327#14581763C2311yescharacteristic
328#14581763C2311yescharacteristic
329#14581763C2311yescharacteristic
330#14581761—21no—
331#14581761—21no—
332#14581761—21no—
333#14581760—21no—
334#14581760—21no—
335#14581760—21no—
336#14581760—21no—
337Q8×Dic83C2311yescharacteristic
338Q8×Dic83C2311yescharacteristic
339Q8×Dic83C2311yescharacteristic
340C4×Dic166—21no—
341#14581757—21no—
342#14581757C2311yescharacteristic
343#14581757C2311yescharacteristic
344D4×Dic83—21no—
345D4×Dic83—21no—
346D4×Dic83—21no—
347D4×Dic83—21no—
348D4×Dic83—21no—
349D4×Dic83C2311yescharacteristic
350D4×Dic83C2311yescharacteristic
351D4×Dic83C2311yescharacteristic
352C4×C22⋊D83—21no—
353C4×C22⋊D83—21no—
354C4×C22⋊D83—21no—
355C4×C22⋊D83—21no—
356C4×C22⋊D83—21no—
357C4×C22⋊D83—21no—
358C4×C22⋊D83—21no—
359C4×C22⋊D83—21no—
360C4×C22⋊D83—21no—
361C4×C22⋊D83—21no—
362C4×C22⋊D83—21no—
363C4×C22⋊D83D411yescharacteristic
364C4×C22⋊D83D411yescharacteristic
365C4×C22⋊D83D411yescharacteristic
366C4×C22⋊D83D411yescharacteristic
367C4×C22⋊D83C2311yescharacteristic
368C4×C22⋊D83C2311yescharacteristic
369C4×C22⋊D83C2311yescharacteristic
370C4×C22⋊D83C2311yescharacteristic
371(C22⋊D83)⋊C4—21no—
372(C22⋊D83)⋊C4—21no—
373#14581751—21no—
374#14581751C2311yescharacteristic
375#14581750C2311yescharacteristic
376#14581749—21no—
377#14581748—21no—
378#14581748—21no—
379#14581748—21no—
380C2×C4⋊Dic83C2311yescharacteristic
381C2×Dic83⋊C4—21no—
382C2×Dic83⋊C4—21no—
383C2×Dic83⋊C4—21no—
384C2×Dic83⋊C4D411yescharacteristic
385C4⋊C4×D83—21no—
386C4⋊C4×D83C2311yescharacteristic
387C2×C22⋊Dic83—21no—
388C2×C22⋊Dic83—21no—
389C2×C22⋊Dic83D411yescharacteristic
390C2×(C2×D83)⋊C4—21no—
391C2×(C2×D83)⋊C4D411yescharacteristic
392C22⋊C4×D83—21no—
393C2×C4×Dic83—21no—
394C2×C4×Dic83C2311yescharacteristic
395#14581726C2311yescharacteristic
396#14581726C2311yescharacteristic
397#14581725C2311yescharacteristic
398#14581725C2311yescharacteristic
399#14581724C2311yescharacteristic
400#14581724C2311yescharacteristic
401#14581723C2311yescharacteristic
402#14581723C2311yescharacteristic
403Dic83⋊C8C2311yescharacteristic
404Dic83⋊C8C2311yescharacteristic
405Dic83⋊C8C2311yescharacteristic
406Dic83⋊C8C2311yescharacteristic
407#14581717C2311yescharacteristic
408#14581717C2311yescharacteristic
409#14581717C2311yescharacteristic
410#14581717C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581717C2311yescharacteristic
413#14581716C2311yescharacteristic
414#14581716C2311yescharacteristic
415#14581716C2311yescharacteristic
416#14581716C2311yescharacteristic
417#14581716C2311yescharacteristic
418#14581716C2311yescharacteristic
419#14581715C2311yescharacteristic
420#14581715C2311yescharacteristic
421#14581714C2311yescharacteristic
422#14581714C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581713C2311yescharacteristic
425#14581713C2311yescharacteristic
426#14581713C2311yescharacteristic
427#14581713C2311yescharacteristic
428#14581713C2311yescharacteristic
429#14581712C2311yescharacteristic
430#14581712C2311yescharacteristic
431C22⋊(C83⋊C8)C2311yescharacteristic
432C22⋊(C83⋊C8)C2311yescharacteristic
433C22⋊(C83⋊C8)C2311yescharacteristic
434C22⋊(C83⋊C8)C2311yescharacteristic
435(C2×D83)⋊C8C2311yescharacteristic
436(C2×D83)⋊C8C2311yescharacteristic
437(C2×D83)⋊C8C2311yescharacteristic
438(C2×D83)⋊C8C2311yescharacteristic
439C8×Dic83C2311yescharacteristic
440C8×Dic83C2311yescharacteristic
441C8×Dic83C2311yescharacteristic
442C8×Dic83C2311yescharacteristic
443C2×#41×C83—21no—
444C2×#41×C83—21no—
445C2×#41×C83—42no—
446C2×#41×C83—42no—
447C2×#41×C83C2311yescharacteristic
448C2×#41×C83C2311yescharacteristic
449C2×#41×C83C2311yescharacteristic
450C2×#41×C83C2311yescharacteristic
451C2×#41×C83C2311yescharacteristic
452C22×Q8×C83C2311yescharacteristic
453C22×D4×C83—21no—
454C22×D4×C83C2311yescharacteristic
455C23×C4×C83—21no—
456C23×C4×C83C2311yescharacteristic
457#135×C83—42no—
458#135×C83—42no—
459C2×Q16×C83C2311yescharacteristic
460C2×Q16×C83C2311yescharacteristic
461C2×SD16×C83C2311yescharacteristic
462C2×SD16×C83C2311yescharacteristic
463C2×SD16×C83C2311yescharacteristic
464C2×SD16×C83C2311yescharacteristic
465C2×D8×C83C2311yescharacteristic
466C2×D8×C83C2311yescharacteristic
467C22×C8×C83C2311yescharacteristic
468C22×C8×C83C2311yescharacteristic
469#123×C83—21no—
470C22⋊Q8×C83C2311yescharacteristic
471C22⋊Q8×C83C2311yescharacteristic
472#121×C83C2311yescharacteristic
473#121×C83C2311yescharacteristic
474#120×C83—21no—
475C4×D4×C83—21no—
476C4×D4×C83—21no—
477#117×C83C2311yescharacteristic
478#103×C83C2311yescharacteristic
479#103×C83C2311yescharacteristic
480#103×C83C2311yescharacteristic
481#103×C83C2311yescharacteristic
482#102×C83C2311yescharacteristic
483#102×C83C2311yescharacteristic
484#102×C83C2311yescharacteristic
485#102×C83C2311yescharacteristic
486C22⋊C8×C83C2311yescharacteristic
487C22⋊C8×C83C2311yescharacteristic
488C22⋊C8×C83C2311yescharacteristic
489C22⋊C8×C83C2311yescharacteristic
490C23×D83—21no—
491C23×D83C2×D411yescharacteristic
492#13050591—22no—
493#13050591—41no—
494#13050590—41no—
495#13050590—41no—
496#13050590—44no—
497#13050589—22no—
498#13050589—41no—
499#13050589—41no—
500#13050589—41no—
501#13050589—44no—
502#13050589—44no—
503C2×Dic166—21no—
504C2×Dic166—21no—
505C2×Dic166—21no—
506C2×Dic166—21no—
507C2×Dic166—41no—
508C2×Dic166—41no—
509C2×Dic166C2411yescharacteristic
510C2×Dic166C2411yescharacteristic
511C2×Dic166C2411yescharacteristic
512Q8×D83—22no—
513Q8×D83—41no—
514Q8×D83—41no—
515Q8×D83—41no—
516C2×D332—21no—
517C2×D332C2411yescharacteristic
518C2×C22⋊D83—24no—
519C2×C22⋊D83—21no—
520C2×C22⋊D83—21no—
521C2×C22⋊D83—21no—
522C2×C22⋊D83—21no—
523C2×C22⋊D83—21no—
524C2×C22⋊D83—21no—
525C2×C22⋊D83—21no—
526C2×C22⋊D83—21no—
527C2×C22⋊D83—21no—
528C2×C22⋊D83—21no—
529C2×C22⋊D83—21no—
530C2×C22⋊D83—44no—
531C2×C22⋊D83C2×D411yescharacteristic
532C2×C22⋊D83C2×D411yescharacteristic
533C2×C22⋊D83C2×D411yescharacteristic
534C2×C22⋊D83C2×D411yescharacteristic
535D4×D83—22no—
536D4×D83—41no—
537D4×D83—44no—
538C22×Dic83—21no—
539C22×Dic83—21no—
540C22×Dic83—21no—
541C22×Dic83—21no—
542C22×Dic83—21no—
543C22×Dic83—21no—
544C22×Dic83—21no—
545C22×Dic83C2×D411yescharacteristic
546C22×Dic83C2×D411yescharacteristic
547C22×Dic83C2×D411yescharacteristic
548C2×C4×D83—21no—
549C2×C4×D83—21no—
550C2×C4×D83—21no—
551C2×C4×D83—21no—
552C2×C4×D83—21no—
553C2×C4×D83—41no—
554C2×C4×D83—41no—
555C2×C4×D83—44no—
556C2×C4×D83C2×D411yescharacteristic
557C2×C4×D83C2×D411yescharacteristic
558C2×C4×D83C2411yescharacteristic
559C2×C4×D83C2411yescharacteristic
560Dic332—41no—
561Dic332—41no—
562#13050580—22no—
563#13050580—22no—
564#13050580—41no—
565#13050580—41no—
566#13050580—41no—
567#13050579—41no—
568#13050579—41no—
569#13050578—22no—
570#13050578—22no—
571#13050578—41no—
572#13050578—41no—
573#13050578—41no—
574#13050577—41no—
575#13050575—41no—
576C2×C83⋊C8—41no—
577C2×C83⋊C8—41no—
578C2×C83⋊C8C2411yescharacteristic
579C2×C83⋊C8C2411yescharacteristic
580C2×C83⋊C8C2411yescharacteristic
581C2×C83⋊C8C2411yescharacteristic
582C8×D83—41no—
583C8×D83—41no—
584C8×D83—41no—
585C8×D83—41no—
586C4⋊Dic83—21no—
587C4⋊Dic83—21no—
588C4⋊Dic83—21no—
589C4⋊Dic83—21no—
590C4⋊Dic83—21no—
591C4⋊Dic83—21no—
592C4⋊Dic83—21no—
593C4⋊Dic83C2411yescharacteristic
594C4⋊Dic83C2411yescharacteristic
595C4⋊Dic83C2411yescharacteristic
596C4⋊Dic83C2411yescharacteristic
597Dic83⋊C4—21no—
598Dic83⋊C4—21no—
599Dic83⋊C4—21no—
600Dic83⋊C4—21no—
601Dic83⋊C4—21no—
602Dic83⋊C4—21no—
603Dic83⋊C4—21no—
604Dic83⋊C4—21no—
605Dic83⋊C4—21no—
606Dic83⋊C4—21no—
607Dic83⋊C4—21no—
608Dic83⋊C4—21no—
609Dic83⋊C4—21no—
610Dic83⋊C4—21no—
611Dic83⋊C4—21no—
612Dic83⋊C4—21no—
613Dic83⋊C4—21no—
614Dic83⋊C4—21no—
615Dic83⋊C4C2×D411yescharacteristic
616Dic83⋊C4C2×D411yescharacteristic
617Dic83⋊C4C2×D411yescharacteristic
618Dic83⋊C4C2×D411yescharacteristic
619C22⋊Dic83—21no—
620C22⋊Dic83—21no—
621C22⋊Dic83—21no—
622C22⋊Dic83—21no—
623C22⋊Dic83—21no—
624C22⋊Dic83—21no—
625C22⋊Dic83—21no—
626C22⋊Dic83—21no—
627C22⋊Dic83—21no—
628C22⋊Dic83—21no—
629C22⋊Dic83—21no—
630C22⋊Dic83—21no—
631C22⋊Dic83—21no—
632C22⋊Dic83—21no—
633C22⋊Dic83—21no—
634C22⋊Dic83—21no—
635C22⋊Dic83—21no—
636C22⋊Dic83C2×D411yescharacteristic
637C22⋊Dic83C2×D411yescharacteristic
638C22⋊Dic83C2×D411yescharacteristic
639C22⋊Dic83C2×D411yescharacteristic
640(C2×D83)⋊C4—21no—
641(C2×D83)⋊C4—21no—
642(C2×D83)⋊C4—21no—
643(C2×D83)⋊C4—21no—
644(C2×D83)⋊C4—21no—
645(C2×D83)⋊C4—21no—
646(C2×D83)⋊C4—21no—
647(C2×D83)⋊C4—21no—
648(C2×D83)⋊C4—21no—
649(C2×D83)⋊C4—21no—
650(C2×D83)⋊C4C2×D411yescharacteristic
651(C2×D83)⋊C4C2×D411yescharacteristic
652(C2×D83)⋊C4C2×D411yescharacteristic
653(C2×D83)⋊C4C2×D411yescharacteristic
654C4×Dic83—21no—
655C4×Dic83—21no—
656C4×Dic83—21no—
657C4×Dic83—21no—
658C4×Dic83—21no—
659C4×Dic83—21no—
660C4×Dic83—21no—
661C4×Dic83C2×D411yescharacteristic
662C4×Dic83C2×D411yescharacteristic
663C4×Dic83C2411yescharacteristic
664C4×Dic83C2411yescharacteristic
665C24×C83—21no—
666C24×C83C2×D411yescharacteristic
667#41×C83—22no—
668#41×C83—22no—
669#41×C83—22no—
670#41×C83—22no—
671#41×C83—41no—
672#41×C83—41no—
673#41×C83—41no—
674#41×C83—41no—
675#41×C83—44no—
676#41×C83—41no—
677#41×C83—41no—
678#41×C83—44no—
679C2×Q8×C83—21no—
680C2×Q8×C83—22no—
681C2×Q8×C83—41no—
682C2×Q8×C83C2411yescharacteristic
683C2×Q8×C83C2411yescharacteristic
684C2×Q8×C83C2411yescharacteristic
685C2×D4×C83—21no—
686C2×D4×C83—22no—
687C2×D4×C83—21no—
688C2×D4×C83—21no—
689C2×D4×C83—21no—
690C2×D4×C83—21no—
691C2×D4×C83—21no—
692C2×D4×C83—21no—
693C2×D4×C83—21no—
694C2×D4×C83—41no—
695C2×D4×C83—44no—
696C2×D4×C83C2411yescharacteristic
697C2×D4×C83C2411yescharacteristic
698C2×D4×C83C2411yescharacteristic
699C22×C4×C83—21no—
700C22×C4×C83—21no—
701C22×C4×C83—21no—
702C22×C4×C83—21no—
703C22×C4×C83—21no—
704C22×C4×C83—21no—
705C22×C4×C83—41no—
706C22×C4×C83—41no—
707C22×C4×C83—44no—
708C22×C4×C83C2×D411yescharacteristic
709C22×C4×C83C2×D411yescharacteristic
710C22×C4×C83C2×D411yescharacteristic
711C22×C4×C83C2411yescharacteristic
712C22×C4×C83C2411yescharacteristic
713C22×C4×C83C2411yescharacteristic
714Q16×C83—22no—
715Q16×C83—41no—
716SD16×C83—22no—
717SD16×C83—22no—
718SD16×C83—41no—
719SD16×C83—41no—
720D8×C83—22no—
721D8×C83—41no—
722C2×C8×C83—41no—
723C2×C8×C83—41no—
724C2×C8×C83C2411yescharacteristic
725C2×C8×C83C2411yescharacteristic
726C2×C8×C83C2411yescharacteristic
727C2×C8×C83C2411yescharacteristic
728C4⋊C4×C83—21no—
729C4⋊C4×C83—21no—
730C4⋊C4×C83C2411yescharacteristic
731C4⋊C4×C83C2411yescharacteristic
732C22⋊C4×C83—21no—
733C22⋊C4×C83—21no—
734C22⋊C4×C83—21no—
735C22⋊C4×C83—21no—
736C22⋊C4×C83—21no—
737C42×C83—21no—
738C23×C83—21no—
739C23×C83—22no—
740C23×C83—21no—
741C23×C83—21no—
742C23×C83—41no—
743C23×C83—41no—
744C23×C83—42no—
745C23×C83—42no—
746C23×C83—81no—
747C23×C83C22×D411yescharacteristic
748C23×C83C22×D411yescharacteristic
749C23×C83C22×D411yescharacteristic
750C22×D83—22no—
751C22×D83—21no—
752C22×D83—41no—
753C22×D83—41no—
754C22×D83—42no—
755C22×D83—42no—
756C22×D83—81no—
757C22×D83C22×D411yescharacteristic
758C22×D83C22×D411yescharacteristic
759Q8×C83—21no—
760Q8×C83—21no—
761Q8×C83—21no—
762Q8×C83—21no—
763Q8×C83—21no—
764Q8×C83—42no—
765Q8×C83H(5,𝔽2)12yes—
766D4×C83—24no—
767D4×C83—21no—
768D4×C83—21no—
769D4×C83—21no—
770D4×C83—21no—
771D4×C83—21no—
772D4×C83—42no—
773D4×C83—42no—
774D4×C83—42no—
775D4×C83—42no—
776D4×C83—42no—
777D4×C83—42no—
778D4×C83—81no—
779D4×C83H(5,𝔽2)12yes—
780C2×C4×C83—24no—
781C2×C4×C83—21no—
782C2×C4×C83—21no—
783C2×C4×C83—21no—
784C2×C4×C83—21no—
785C2×C4×C83—21no—
786C2×C4×C83—21no—
787C2×C4×C83—21no—
788C2×C4×C83—21no—
789C2×C4×C83—21no—
790C2×C4×C83—21no—
791C2×C4×C83—21no—
792C2×C4×C83—41no—
793C2×C4×C83—41no—
794C2×C4×C83—41no—
795C2×C4×C83—42no—
796C2×C4×C83—42no—
797C2×C4×C83—42no—
798C2×C4×C83—42no—
799C2×C4×C83—81no—
800C2×C4×C83C22×D411yescharacteristic
801C2×C4×C83C22×D411yescharacteristic
802C2×C4×C83C22×D411yescharacteristic
803C2×C4×C83C2511yescharacteristic
804C22⋊D83—22no—
805C22⋊D83—22no—
806C22⋊D83—22no—
807C22⋊D83—42no—
808C22⋊D83—42no—
809C22⋊D83—42no—
810C22⋊D83—42no—
811C22⋊D83—42no—
812C22⋊D83—42no—
813C22⋊D83—42no—
814C22⋊D83—81no—
815C22⋊D83—81no—
816C22⋊D83—81no—
817C22⋊D83—81no—
818C22⋊D83#13514yescomplemented
819C2×Dic83—22no—
820C2×Dic83—21no—
821C2×Dic83—21no—
822C2×Dic83—21no—
823C2×Dic83—21no—
824C2×Dic83—21no—
825C2×Dic83—21no—
826C2×Dic83—21no—
827C2×Dic83—41no—
828C2×Dic83—41no—
829C2×Dic83—42no—
830C2×Dic83—42no—
831C2×Dic83—42no—
832C2×Dic83—42no—
833C2×Dic83—81no—
834C2×Dic83—81no—
835C2×Dic83—81no—
836C2×Dic83C22×D411yescharacteristic
837C2×Dic83C22×D411yescharacteristic
838C2×Dic83C22×D411yescharacteristic
839C2×Dic83C22×D411yescharacteristic
840C2×Dic83C22×D411yescharacteristic
841C2×Dic83C22×D411yescharacteristic
842D332—21no—
843D332—21no—
844D332—42no—
845C4×D83—21no—
846C4×D83—21no—
847C4×D83—21no—
848C4×D83—21no—
849C4×D83—41no—
850C4×D83—41no—
851C4×D83—42no—
852C4×D83—42no—
853C4×D83—42no—
854C4×D83—42no—
855C4×D83—81no—
856Dic166—21no—
857Dic166—21no—
858Dic166—21no—
859Dic166—21no—
860Dic166—21no—
861Dic166—21no—
862Dic166—42no—
863Dic166—42no—
864Dic166—81no—
865Dic166—81no—
866C8×C83—21no—
867C8×C83—21no—
868C8×C83—21no—
869C8×C83—21no—
870C83⋊C8—21no—
871C83⋊C8—21no—
872C83⋊C8—21no—
873C83⋊C8—21no—
874C22×C83—21no—
875C22×C83—21no—
876C22×C83—21no—
877C22×C83—21no—
878C22×C83—21no—
879C22×C83—22no—
880C22×C83—21no—
881C22×C83—21no—
882C22×C83—21no—
883C22×C83—41no—
884C22×C83—41no—
885C22×C83—41no—
886C22×C83—41no—
887C22×C83—41no—
888C22×C83—41no—
889C22×C83—41no—
890C22×C83—41no—
891C22×C83—82no—
892C22×C83—84no—
893C22×C83C2×#13512yes—
894C22×C83C23×D411yescharacteristic
895C2×D83—21no—
896C2×D83—21no—
897C2×D83—21no—
898C2×D83—21no—
899C2×D83—21no—
900C2×D83—41no—
901C2×D83—41no—
902C2×D83—41no—
903C2×D83—82no—
904C2×D83—84no—
905C2×D83C2×#13512yes—
906C4×C83—22no—
907C4×C83—21no—
908C4×C83—21no—
909C4×C83—21no—
910C4×C83—41no—
911C4×C83—41no—
912C4×C83—41no—
913C4×C83—41no—
914C4×C83C2×H(5,𝔽2)11yescharacteristic
915C4×C83C2×H(5,𝔽2)11yescharacteristic
916Dic83—21no—
917Dic83—21no—
918Dic83—21no—
919Dic83—21no—
920Dic83—21no—
921Dic83—41no—
922Dic83—41no—
923Dic83—41no—
924Dic83—41no—
925Dic83—41no—
926Dic83—41no—
927Dic83—41no—
928Dic83C2×#13512yes—
929#61568—831nomaximal, Sylow
930C2×C83—22no—
931C2×C83—41no—
932C2×C83—42no—
933C2×C83—41no—
934C2×C83—81no—
935C2×C83—81no—
936C2×C83#348411yescharacteristic
937C2×C83C22×#13511yescharacteristic
938C2×C83#358611yescharacteristic
939D83—22no—
940D83—41no—
941D83—81no—
942#3520—831no—
943D4×#41—831no—
944#3304—831no—
945#3302—831no—
946#3300—831no—
947#3300—831no—
948#3298—831no—
949#3296—831no—
950#3296—831no—
951#3294—831no—
952D4×Q16—831no—
953#3285—831no—
954#3285—831no—
955#3284—831no—
956#3283—831no—
957#3282—831no—
958#3282—831no—
959D4×SD16—831no—
960#3212—831no—
961#3210—831no—
962#3191—831no—
963#3191—831no—
964#3190—831no—
965#3190—831no—
966#3107—831no—
967#3102—831no—
968#3002—831no—
969#3002D8311yescharacteristic, complemented
970C2×#452—831no—
971C2×#452—831no—
972#2972—831no—
973C83#6156811yescharacteristic, complemented, Sylow
974C22×#41—831no—
975C22×#41C2×D8311yescharacteristic
976C2×#135—831no—
977C2×#135—831no—
978C2×#135C2×D8311yescharacteristic, complemented
979C2×#135C2×D8311yescharacteristic, complemented
980C22×Q16—831no—
981C22×Q16—831no—
982C22×SD16—831no—
983C22×SD16—831no—
984#556—831no—
985#554—1661no—
986#552—831no—
987#552—831no—
988#551—1661no—
989#551—1661no—
990#550—831no—
991D4×Q8—831no—
992D4×Q8—831no—
993#548—831no—
994#548—831no—
995#548—831no—
996#548—831no—
997#547—831no—
998#547—831no—
999#547—831no—
1000#547—1661no—
1001#546—831no—
1002#546—831no—
1003#546—1661no—
1004#546—1661no—
1005#546—1661no—
1006D42—831no—
1007D42—1661no—
1008#542—1661no—
1009#539—1661no—
1010#539—1661no—
1011#533—831no—
1012#532—831no—
1013#532—1661no—
1014#529—831no—
1015#525—831no—
1016#525—831no—
1017#525—831no—
1018#525—1661no—
1019#525—1661no—
1020#525C2×D8311yescharacteristic, complemented
1021C2×C22⋊Q8—831no—
1022C2×C22⋊Q8—831no—
1023#520—1661no—
1024C4×#41—831no—
1025C2×C4×D4—831no—
1026C2×C4×D4—1661no—
1027#495—831no—
1028#495—831no—
1029#494—831no—
1030#492—831no—
1031#488—831no—
1032#488—831no—
1033#487—831no—
1034#486—831no—
1035#485—831no—
1036#485—831no—
1037#485—831no—
1038#485—831no—
1039#485—831no—
1040#483—831no—
1041#483—831no—
1042#482—831no—
1043#482—831no—
1044#482—831no—
1045#480—831no—
1046#480—831no—
1047#479—831no—
1048#478—831no—
1049#475—831no—
1050#474—831no—
1051#467—831no—
1052#467—831no—
1053#467—831no—
1054#467—831no—
1055#467—831no—
1056#467—831no—
1057#466—831no—
1058#466—831no—
1059#465—831no—
1060#465—831no—
1061#465—831no—
1062#465—831no—
1063#465—831no—
1064#465—831no—
1065#465—831no—
1066#465—831no—
1067#464—831no—
1068#464—831no—
1069#464—831no—
1070#464—831no—
1071#464—831no—
1072#463—831no—
1073#462—831no—
1074#462—831no—
1075#461—831no—
1076#461—831no—
1077#460—831no—
1078#459—831no—
1079#452—831no—
1080#452—831no—
1081#452—831no—
1082#452—831no—
1083#452—831no—
1084#452—831no—
1085#452—831no—
1086#452—831no—
1087#452—831no—
1088#452—831no—
1089#452—831no—
1090#452—831no—
1091#452—831no—
1092#452—831no—
1093#452—831no—
1094#452—831no—
1095#452—831no—
1096#452C2×D8311yescharacteristic
1097#452C2×D8311yescharacteristic, complemented
1098#451—831no—
1099#451—831no—
1100#451—831no—
1101#451C2×D8311yescharacteristic, complemented
1102#450—831no—
1103#450C2×D8311yescharacteristic, complemented
1104#449—831no—
1105#449—831no—
1106#449—831no—
1107#449C2×D8311yescharacteristic
1108#449C2×D8311yescharacteristic, complemented
1109#448—831no—
1110#448—831no—
1111#448—831no—
1112#448C2×D8311yescharacteristic, complemented
1113#447—831no—
1114#447C2×D8311yescharacteristic, complemented
1115C4×Q16—831no—
1116C4×Q16—831no—
1117C4×Q16—831no—
1118C4×SD16—831no—
1119C4×SD16—831no—
1120C4×SD16—831no—
1121C4×SD16—831no—
1122C4×D8—831no—
1123C8×D4—831no—
1124C8×D4—831no—
1125C8×D4—831no—
1126C8×D4—831no—
1127C8×D4—831no—
1128C8×D4—831no—
1129C8×D4—831no—
1130C8×D4—831no—
1131#431—831no—
1132#431—831no—
1133#416—831no—
1134#416—831no—
1135#416C2×D8311yescharacteristic, complemented
1136#416C2×D8311yescharacteristic, complemented
1137C2×#103—831no—
1138C2×#103—831no—
1139C2×#102—831no—
1140C2×#102—831no—
1141C2×C22⋊C8—831no—
1142C2×C22⋊C8—831no—
1143C2×C22⋊C8—831no—
1144C2×C22⋊C8C2×D8311yescharacteristic, complemented
1145C2×#41—21no—
1146C2×#41—21no—
1147C2×#41—42no—
1148C2×#41—42no—
1149C2×#41—3322no—
1150C2×#41—3322no—
1151C2×#41—831no—
1152C2×#41—831no—
1153C2×#41—831no—
1154C2×#41—831no—
1155C2×#41—1661no—
1156C2×#41—1661no—
1157C2×#41—1661no—
1158C2×#41C22×D8311yescharacteristic
1159C2×#41C22×D8311yescharacteristic
1160C2×#41C22×D8311yescharacteristic
1161C2×#41C22×D8311yescharacteristic
1162C2×#41C22×D8311yescharacteristic
1163C22×Q8—831no—
1164C22×Q8—831no—
1165C22×Q8—831no—
1166C22×Q8C22×D8311yescharacteristic
1167C22×D4—21no—
1168C22×D4—831no—
1169C22×D4—831no—
1170C22×D4—1661no—
1171C22×D4—1661no—
1172C22×D4C22×D8311yescharacteristic
1173C23×C4—21no—
1174C23×C4—831no—
1175C23×C4—1661no—
1176C23×C4C22×D8311yescharacteristic
1177#135—42no—
1178#135—42no—
1179#135—3322no—
1180#135—3322no—
1181C2×Q16—3322no—
1182C2×Q16—3322no—
1183C2×Q16—831no—
1184C2×Q16—831no—
1185C2×Q16—831no—
1186C2×Q16—831no—
1187C2×Q16—831no—
1188C2×Q16—831no—
1189C2×Q16—831no—
1190C2×Q16C22×D8311yescharacteristic
1191C2×Q16C22×D8311yescharacteristic
1192C2×SD16—3322no—
1193C2×SD16—3322no—
1194C2×SD16—831no—
1195C2×SD16—831no—
1196C2×SD16—831no—
1197C2×SD16—831no—
1198C2×SD16—831no—
1199C2×SD16—831no—
1200C2×SD16—831no—
1201C2×SD16—831no—
1202C2×SD16C22×D8311yescharacteristic
1203C2×SD16C22×D8311yescharacteristic
1204C2×SD16C22×D8311yescharacteristic
1205C2×SD16C22×D8311yescharacteristic
1206C2×D8—831no—
1207C2×D8C22×D8311yescharacteristic
1208C2×D8C22×D8311yescharacteristic
1209C22×C8—831no—
1210C22×C8—831no—
1211C22×C8—831no—
1212C22×C8—831no—
1213C22×C8—831no—
1214C22×C8—831no—
1215C22×C8C22×D8311yescharacteristic
1216C22×C8C22×D8311yescharacteristic
1217C4⋊Q8—831no—
1218C4⋊Q8—831no—
1219C4⋊Q8—831no—
1220C4⋊Q8—1661no—
1221C4⋊Q8—1661no—
1222#127—831no—
1223#127—1661no—
1224#126—1661no—
1225#126—1661no—
1226#126—1661no—
1227#126—1661no—
1228#126—1661no—
1229#125—831no—
1230#125—1661no—
1231#125—1661no—
1232#125—1661no—
1233#124—831no—
1234#124—831no—
1235#124—831no—
1236#124—1661no—
1237#124—1661no—
1238#124—1661no—
1239#124—1661no—
1240#124—1661no—
1241#123—21no—
1242#123—1661no—
1243#123—1661no—
1244#123—1661no—
1245#123—1661no—
1246#123—1661no—
1247#123—1661no—
1248#123—1661no—
1249#123—1661no—
1250#123—1661no—
1251#123—1661no—
1252#123—1661no—
1253#123—1661no—
1254#123—1661no—
1255#123—1661no—
1256C22⋊Q8—831no—
1257C22⋊Q8—831no—
1258C22⋊Q8—831no—
1259C22⋊Q8—831no—
1260C22⋊Q8—831no—
1261C22⋊Q8—831no—
1262C22⋊Q8—831no—
1263C22⋊Q8—831no—
1264C22⋊Q8—831no—
1265C22⋊Q8—831no—
1266C22⋊Q8—831no—
1267C22⋊Q8—1661no—
1268C22⋊Q8—1661no—
1269C22⋊Q8—1661no—
1270C22⋊Q8—1661no—
1271C22⋊Q8—1661no—
1272C22⋊Q8—1661no—
1273C22⋊Q8—1661no—
1274C22⋊Q8—1661no—
1275C22⋊Q8—1661no—
1276C22⋊Q8—1661no—
1277C22⋊Q8—1661no—
1278C22⋊Q8—1661no—
1279C22⋊Q8—1661no—
1280C22⋊Q8—1661no—
1281C22⋊Q8C22×D8311yescharacteristic
1282C22⋊Q8C22×D8311yescharacteristic
1283#121—831no—
1284#121—831no—
1285#121—831no—
1286#121—831no—
1287#121—831no—
1288#121—1661no—
1289#121—1661no—
1290#121—1661no—
1291#121—1661no—
1292#121—1661no—
1293#121—1661no—
1294#121—1661no—
1295#121—1661no—
1296#121—1661no—
1297#121—1661no—
1298#121—1661no—
1299#121—1661no—
1300#121—1661no—
1301#121C22×D8311yescharacteristic
1302#121C22×D8311yescharacteristic
1303#120—21no—
1304#120—1661no—
1305#120—1661no—
1306#120—1661no—
1307#120—1661no—
1308#120—1661no—
1309#120—1661no—
1310#120—1661no—
1311C4×Q8—831no—
1312C4×Q8—831no—
1313C4×Q8—831no—
1314C4×Q8—831no—
1315C4×Q8—831no—
1316C4×Q8—1661no—
1317C4×Q8—1661no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—831no—
1321C4×D4—831no—
1322C4×D4—831no—
1323C4×D4—831no—
1324C4×D4—831no—
1325C4×D4—831no—
1326C4×D4—831no—
1327C4×D4—831no—
1328C4×D4—831no—
1329C4×D4—831no—
1330C4×D4—831no—
1331C4×D4—1661no—
1332C4×D4—1661no—
1333C4×D4—1661no—
1334C4×D4—1661no—
1335C4×D4—1661no—
1336C4×D4—1661no—
1337C4×D4—1661no—
1338C4×D4—1661no—
1339C4×D4—1661no—
1340C4×D4—1661no—
1341C4×D4—1661no—
1342C4×D4—1661no—
1343C4×D4—1661no—
1344C4×D4—1661no—
1345C4×D4—1661no—
1346C4×D4—1661no—
1347C4×D4—1661no—
1348C4×D4—1661no—
1349#117—831no—
1350#117—831no—
1351#117—1661no—
1352#117—1661no—
1353#117—1661no—
1354#117—1661no—
1355#117—1661no—
1356#117C22×D8311yescharacteristic
1357C2×C4⋊C4—831no—
1358C2×C4⋊C4—831no—
1359C2×C4⋊C4—831no—
1360C2×C4⋊C4—1661no—
1361C2×C4⋊C4—1661no—
1362C2×C4⋊C4—1661no—
1363C2×C4⋊C4—1661no—
1364C2×C22⋊C4—831no—
1365C2×C22⋊C4—831no—
1366C2×C22⋊C4—1661no—
1367C2×C22⋊C4—1661no—
1368C2×C22⋊C4—1661no—
1369C2×C22⋊C4—1661no—
1370C2×C42—831no—
1371C2×C42—1661no—
1372#107—831no—
1373#107—831no—
1374#107—831no—
1375#107—831no—
1376#106—831no—
1377#106—831no—
1378#106—831no—
1379#106—831no—
1380C4⋊C8—831no—
1381C4⋊C8—831no—
1382C4⋊C8—831no—
1383C4⋊C8—831no—
1384#103—831no—
1385#103—831no—
1386#103—831no—
1387#103—831no—
1388#103—831no—
1389#103—831no—
1390#103—831no—
1391#103—831no—
1392#103—831no—
1393#103—831no—
1394#103—831no—
1395#103—831no—
1396#103—831no—
1397#103—831no—
1398#103C22×D8311yescharacteristic
1399#103C22×D8311yescharacteristic
1400#103C22×D8311yescharacteristic
1401#103C22×D8311yescharacteristic
1402#102—831no—
1403#102—831no—
1404#102—831no—
1405#102—831no—
1406#102—831no—
1407#102—831no—
1408#102—831no—
1409#102—831no—
1410#102—831no—
1411#102—831no—
1412#102C22×D8311yescharacteristic
1413#102C22×D8311yescharacteristic
1414#102C22×D8311yescharacteristic
1415#102C22×D8311yescharacteristic
1416C22⋊C8—831no—
1417C22⋊C8—831no—
1418C22⋊C8—831no—
1419C22⋊C8—831no—
1420C22⋊C8—831no—
1421C22⋊C8—831no—
1422C22⋊C8—831no—
1423C22⋊C8—831no—
1424C22⋊C8C22×D8311yescharacteristic
1425C22⋊C8C22×D8311yescharacteristic
1426C22⋊C8C22×D8311yescharacteristic
1427C22⋊C8C22×D8311yescharacteristic
1428C4×C8—831no—
1429C4×C8—831no—
1430C4×C8—831no—
1431C4×C8—831no—
1432C24—21no—
1433C24—831no—
1434C24—1661no—
1435C24D4×D8311yescharacteristic
1436#41—22no—
1437#41—22no—
1438#41—22no—
1439#41—22no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—44no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—3324no—
1449#41—3321no—
1450#41—3321no—
1451#41—3324no—
1452#41—3324no—
1453#41—3321no—
1454#41—3321no—
1455#41—3321no—
1456#41—3321no—
1457#41—1662no—
1458#41—1662no—
1459C2×Q8—21no—
1460C2×Q8—22no—
1461C2×Q8—41no—
1462C2×Q8—3321no—
1463C2×Q8—3321no—
1464C2×Q8—3321no—
1465C2×Q8—3321no—
1466C2×Q8—3321no—
1467C2×Q8—831no—
1468C2×Q8—831no—
1469C2×Q8—831no—
1470C2×Q8—1661no—
1471C2×Q8—1661no—
1472C2×Q8—1661no—
1473C2×Q8—1662no—
1474C2×Q8—1661no—
1475C2×Q8C23×D8311yescharacteristic
1476C2×Q8C23×D8311yescharacteristic
1477C2×Q8C23×D8311yescharacteristic
1478C2×D4—21no—
1479C2×D4—22no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—41no—
1488C2×D4—44no—
1489C2×D4—3324no—
1490C2×D4—3324no—
1491C2×D4—3321no—
1492C2×D4—831no—
1493C2×D4—831no—
1494C2×D4—831no—
1495C2×D4—831no—
1496C2×D4—831no—
1497C2×D4—1661no—
1498C2×D4—1661no—
1499C2×D4—1661no—
1500C2×D4—1661no—
1501C2×D4—1661no—
1502C2×D4—1661no—
1503C2×D4—1661no—
1504C2×D4—1661no—
1505C2×D4—1661no—
1506C2×D4—1662no—
1507C2×D4—1664no—
1508C2×D4—1661no—
1509C2×D4—1661no—
1510C2×D4—1661no—
1511C2×D4C23×D8311yescharacteristic
1512C2×D4C23×D8311yescharacteristic
1513C2×D4C23×D8311yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—41no—
1521C22×C4—41no—
1522C22×C4—44no—
1523C22×C4—3324no—
1524C22×C4—3321no—
1525C22×C4—3321no—
1526C22×C4—831no—
1527C22×C4—831no—
1528C22×C4—831no—
1529C22×C4—831no—
1530C22×C4—831no—
1531C22×C4—831no—
1532C22×C4—831no—
1533C22×C4—1661no—
1534C22×C4—1661no—
1535C22×C4—1661no—
1536C22×C4—1661no—
1537C22×C4—1661no—
1538C22×C4—1661no—
1539C22×C4—1661no—
1540C22×C4—1661no—
1541C22×C4—1661no—
1542C22×C4—1661no—
1543C22×C4—1661no—
1544C22×C4—1661no—
1545C22×C4D4×D8311yescharacteristic
1546C22×C4D4×D8311yescharacteristic
1547C22×C4D4×D8311yescharacteristic
1548C22×C4C23×D8311yescharacteristic
1549C22×C4C23×D8311yescharacteristic
1550C22×C4C23×D8311yescharacteristic
1551Q16—22no—
1552Q16—41no—
1553Q16—3321no—
1554Q16—3321no—
1555Q16—3321no—
1556Q16—3321no—
1557Q16—3321no—
1558Q16—1662no—
1559Q16—1662no—
1560SD16—22no—
1561SD16—22no—
1562SD16—41no—
1563SD16—41no—
1564SD16—3321no—
1565SD16—3321no—
1566SD16—3321no—
1567SD16—3321no—
1568SD16—3321no—
1569SD16—3321no—
1570SD16—1662no—
1571SD16—1662no—
1572D8—22no—
1573D8—41no—
1574D8—3321no—
1575C2×C8—41no—
1576C2×C8—41no—
1577C2×C8—3321no—
1578C2×C8—3321no—
1579C2×C8—3321no—
1580C2×C8—3321no—
1581C2×C8—3321no—
1582C2×C8—3321no—
1583C2×C8—831no—
1584C2×C8—831no—
1585C2×C8—831no—
1586C2×C8—831no—
1587C2×C8C23×D8311yescharacteristic
1588C2×C8C23×D8311yescharacteristic
1589C2×C8C23×D8311yescharacteristic
1590C2×C8C23×D8311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—831no—
1594C4⋊C4—831no—
1595C4⋊C4—831no—
1596C4⋊C4—831no—
1597C4⋊C4—831no—
1598C4⋊C4—831no—
1599C4⋊C4—831no—
1600C4⋊C4—831no—
1601C4⋊C4—1661no—
1602C4⋊C4—1661no—
1603C4⋊C4—1661no—
1604C4⋊C4—1661no—
1605C4⋊C4—1661no—
1606C4⋊C4—1661no—
1607C4⋊C4—1661no—
1608C4⋊C4—1661no—
1609C4⋊C4—1661no—
1610C4⋊C4—1661no—
1611C4⋊C4—1661no—
1612C4⋊C4—1661no—
1613C4⋊C4—1661no—
1614C4⋊C4—1661no—
1615C4⋊C4—1661no—
1616C4⋊C4—1661no—
1617C4⋊C4—1661no—
1618C4⋊C4—1661no—
1619C4⋊C4—1661no—
1620C4⋊C4—1661no—
1621C4⋊C4—1661no—
1622C4⋊C4—1661no—
1623C4⋊C4—1661no—
1624C4⋊C4—1661no—
1625C4⋊C4—1661no—
1626C4⋊C4C23×D8311yescharacteristic
1627C4⋊C4C23×D8311yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—831no—
1634C22⋊C4—831no—
1635C22⋊C4—831no—
1636C22⋊C4—831no—
1637C22⋊C4—831no—
1638C22⋊C4—831no—
1639C22⋊C4—831no—
1640C22⋊C4—831no—
1641C22⋊C4—1661no—
1642C22⋊C4—1661no—
1643C22⋊C4—1661no—
1644C22⋊C4—1661no—
1645C22⋊C4—1661no—
1646C22⋊C4—1661no—
1647C22⋊C4—1661no—
1648C22⋊C4—1661no—
1649C22⋊C4—1661no—
1650C22⋊C4—1661no—
1651C22⋊C4—1661no—
1652C22⋊C4—1661no—
1653C22⋊C4—1661no—
1654C22⋊C4—1661no—
1655C22⋊C4—1661no—
1656C22⋊C4—1661no—
1657C22⋊C4—1661no—
1658C22⋊C4—1661no—
1659C22⋊C4—1661no—
1660C22⋊C4—1661no—
1661C22⋊C4—1661no—
1662C22⋊C4—1661no—
1663C22⋊C4—1661no—
1664C22⋊C4—1661no—
1665C22⋊C4—1661no—
1666C22⋊C4—1661no—
1667C22⋊C4—1661no—
1668C42—21no—
1669C42—831no—
1670C42—831no—
1671C42—831no—
1672C42—831no—
1673C42—1661no—
1674C42—1661no—
1675C42—1661no—
1676C42—1661no—
1677C42—1661no—
1678C42—1661no—
1679C42—1661no—
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—21no—
1684C23—41no—
1685C23—41no—
1686C23—42no—
1687C23—42no—
1688C23—81no—
1689C23—3322no—
1690C23—3321no—
1691C23—3321no—
1692C23—3322no—
1693C23—831no—
1694C23—831no—
1695C23—6641no—
1696C23—1662no—
1697C23—1661no—
1698C23C2×D4×D8311yescharacteristic
1699C23C2×D4×D8311yescharacteristic
1700C23C2×D4×D8311yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—42no—
1707Q8—3322no—
1708Q8—3322no—
1709Q8—6641no—
1710Q8—6641no—
1711Q8—1661no—
1712Q8—1661no—
1713Q8—1661no—
1714Q8—1661no—
1715Q8—1661no—
1716Q8—1661no—
1717Q8#1458183712yes—
1718D4—24no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—81no—
1731D4—3322no—
1732D4—3322no—
1733D4—3322no—
1734D4—3322no—
1735D4—3322no—
1736D4—3322no—
1737D4—3322no—
1738D4—3322no—
1739D4—834no—
1740D4—6641no—
1741D4—6641no—
1742D4—6641no—
1743D4—6641no—
1744D4—1662no—
1745D4—1662no—
1746D4—1662no—
1747D4—1661no—
1748D4—1661no—
1749D4#1458183712yes—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—81no—
1770C2×C4—3322no—
1771C2×C4—3322no—
1772C2×C4—3322no—
1773C2×C4—3321no—
1774C2×C4—3321no—
1775C2×C4—3322no—
1776C2×C4—3322no—
1777C2×C4—3322no—
1778C2×C4—3322no—
1779C2×C4—3322no—
1780C2×C4—3321no—
1781C2×C4—3321no—
1782C2×C4—831no—
1783C2×C4—831no—
1784C2×C4—831no—
1785C2×C4—831no—
1786C2×C4—831no—
1787C2×C4—831no—
1788C2×C4—6641no—
1789C2×C4—6641no—
1790C2×C4—6641no—
1791C2×C4—6641no—
1792C2×C4—1661no—
1793C2×C4—1661no—
1794C2×C4—1661no—
1795C2×C4—1661no—
1796C2×C4—1661no—
1797C2×C4—1661no—
1798C2×C4—1661no—
1799C2×C4—1662no—
1800C2×C4—1661no—
1801C2×C4—1661no—
1802C2×C4—1661no—
1803C2×C4—1661no—
1804C2×C4C2×D4×D8311yescharacteristic
1805C2×C4C2×D4×D8311yescharacteristic
1806C2×C4C2×D4×D8311yescharacteristic
1807C2×C4C24×D8311yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1661no—
1813C8—1661no—
1814C8—1661no—
1815C8—1661no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—22no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—82no—
1834C22—84no—
1835C22—3321no—
1836C22—3321no—
1837C22—3321no—
1838C22—832no—
1839C22—6642no—
1840C22—6644no—
1841C22—1661no—
1842C22—1661no—
1843C22—1661no—
1844C22—1661no—
1845C22—1661no—
1846C22#135×D8312yes—
1847C22C22×D4×D8311yescharacteristic
1848C4—21no—
1849C4—22no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—3321no—
1857C4—3321no—
1858C4—3321no—
1859C4—3321no—
1860C4—3321no—
1861C4—3321no—
1862C4—3321no—
1863C4—832no—
1864C4—1661no—
1865C4—1661no—
1866C4—1661no—
1867C4—1661no—
1868C4—1661no—
1869C4C2×#1458183711yescharacteristic
1870C4C2×#1458183711yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—41no—
1874C2—42no—
1875C2—81no—
1876C2—81no—
1877C2—3321no—
1878C2—6641no—
1879C2—1662no—
1880C2#2492109211yescharacteristic
1881C2C2×#135×D8311yescharacteristic
1882C2#2492224711yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3002C2
socleC22×C83C23×D4
hypercenter#3002D83
hypocenterC83#61568
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #24921500C2semidirect
2. #41×C22⋊D83C2semidirect
3. #24919398C2semidirect
4. #24919376C2semidirect
5. #24919354C2semidirect
6. #24919351C2semidirect
7. #24919321C2semidirect
8. #24919302C2semidirect
9. #24919299C2semidirect
10. #24919269C2semidirect
11. #24919208C2semidirect
12. #24919198C2semidirect
13. #24919197C2semidirect
14. #24919187C2semidirect
15. #24919179C2semidirect
16. #24919174C2semidirect
17. #24919164C2semidirect
18. #24919157C2semidirect
19. #24918436C2semidirect
20. #24918417C2semidirect
21. #24918253C2semidirect
22. #24918251C2semidirect
23. #24918246C2semidirect
24. #24918242C2semidirect
25. #24917527C2semidirect
26. #24917474C2semidirect
27. #24916678C2semidirect
28. C2×#19127863C2semidirect
29. #452×D83C2semidirect
30. #24916485C2semidirect
31. C83×#3002C2semidirect
33. C2×#14581813C22semidirect
34. C2×#14581811C22semidirect
35. C22×#13050580C22semidirect
36. C2×Q16×D83C22semidirect
37. C22×#13050578C22semidirect
38. C2×SD16×D83C22semidirect
39. #19128419C22semidirect
41. #19128393C22semidirect
42. #19128390C22semidirect
50. #19128358C22semidirect
51. #19128357C22semidirect
55. #19128350C22semidirect
66. #19128253C22semidirect
69. #19128232C22semidirect
72. #19128211C22semidirect
75. C2×#14581771C22semidirect
76. C22⋊Q8×D83C22semidirect
81. #19128084C22semidirect
82. #19128082C22semidirect
83. #19128079C22semidirect
84. #19128072C22semidirect
85. #19128057C22semidirect
86. #19128054C22semidirect
87. #19128050C22semidirect
88. #19128046C22semidirect
89. #19128043C22semidirect
90. #19128043C22semidirect
91. #19128042C22semidirect
92. #19128041C22semidirect
93. #19128039C22semidirect
94. #19128032C22semidirect
95. #19128030C22semidirect
96. #19128025C22semidirect
97. #19128024C22semidirect
98. #19128022C22semidirect
99. #19128015C22semidirect
100. #19128013C22semidirect
101. #19128010C22semidirect
102. #19128003C22semidirect
103. #19127984C22semidirect
104. #19127979C22semidirect
105. #19127942C22semidirect
106. #19127942C22semidirect
107. #19127941C22semidirect
108. #19127941C22semidirect
109. #19127940C22semidirect
110. #19127939C22semidirect
111. #19127935C22semidirect
112. #19127934C22semidirect
113. #19127932C22semidirect
114. #19127930C22semidirect
115. #19127930C22semidirect
116. #19127929C22semidirect
117. #19127929C22semidirect
118. #19127928C22semidirect
119. #19127927C22semidirect
120. #19127927C22semidirect
121. #19127926C22semidirect
122. #19127925C22semidirect
123. #19127922C22semidirect
124. #19127921C22semidirect
125. #19127921C22semidirect
126. #19127914C22semidirect
127. #19127910C22semidirect
128. #19127909C22semidirect
129. #19127904C22semidirect
130. #19127904C22semidirect
131. #19127900C22semidirect
132. #19127894C22semidirect
133. #19127866C22semidirect
134. #19127865C22semidirect
135. #19127865C22semidirect
136. #19127864C22semidirect
139. #19127863C22semidirect
140. #19127863C22semidirect
141. #19127863C22semidirect
142. #19127863C22semidirect
143. #19127863C22semidirect
144. #19127863C22semidirect
145. #19127863C22semidirect
146. #19127862C22semidirect
147. #19127861C22semidirect
148. #19127860C22semidirect
149. #19127860C22semidirect
150. #19127859C22semidirect
151. #19127858C22semidirect
152. #19127855C22semidirect
153. #19127853C22semidirect
154. #19127846C22semidirect
155. #19127844C22semidirect
156. #19127843C22semidirect
157. #19127842C22semidirect
158. #19127838C22semidirect
159. #19127838C22semidirect
160. #19127833C22semidirect
161. Q16×Dic83C22semidirect
162. #19127793C22semidirect
163. #19127793C22semidirect
164. #19127792C22semidirect
165. #19127792C22semidirect
166. SD16×Dic83C22semidirect
167. SD16×Dic83C22semidirect
168. D8×Dic83C22semidirect
169. C8×C22⋊D83C22semidirect
170. C8×C22⋊D83C22semidirect
171. C8×C22⋊D83C22semidirect
172. C8×C22⋊D83C22semidirect
175. (C22⋊D83)⋊C8C22semidirect
176. (C22⋊D83)⋊C8C22semidirect
177. #19127751C22semidirect
178. #19127751C22semidirect
179. #19127696C22semidirect
180. #19127694C22semidirect
181. C2×#14581716C22semidirect
182. #103×D83C22semidirect
183. C2×#14581713C22semidirect
184. #102×D83C22semidirect
185. C2×C22⋊(C83⋊C8)C22semidirect
186. C22⋊C8×D83C22semidirect
187. C22⋊C8×D83C22semidirect
189. C2×#135×C83C22semidirect
190. C2×#135×C83C22semidirect
191. #525×C83C22semidirect
193. #452×C83C22semidirect
194. #451×C83C22semidirect
195. #450×C83C22semidirect
197. #449×C83C22semidirect
198. #448×C83C22semidirect
199. #447×C83C22semidirect
200. #416×C83C22semidirect
201. #416×C83C22semidirect
202. C2×C22⋊C8×C83C22semidirect
818. C22⋊D83#135semidirect
969. #3002D83semidirect
973. C83#61568semidirect
978. C2×#135C2×D83semidirect
979. C2×#135C2×D83semidirect
1020. #525C2×D83semidirect
1097. #452C2×D83semidirect
1101. #451C2×D83semidirect
1103. #450C2×D83semidirect
1108. #449C2×D83semidirect
1112. #448C2×D83semidirect
1114. #447C2×D83semidirect
1135. #416C2×D83semidirect
1136. #416C2×D83semidirect
1144. C2×C22⋊C8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249215002
#41×C22⋊D832
#249193982
#249193762
#249193542
#249193512
#249193212
#249193022
#249192992
#249192692
#249192082
#249191982
#249191972
#249191872
#249191792
#249191742
#249191642
#249191572
#249184362
#249184172
#249182532
#249182512
#249182462
#249182422
#249175272
#249174742
#249166782
C2×#191278632
#452×D832
#249164852
C83×#30022
#6156883