Finite Group Databasebeta

← #36289371

Subgroups — #36289371

Order 21248.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921495C211yesmaximal, characteristic, complemented
2#24919649C211yesmaximal, characteristic, complemented
3#24919634C211yesmaximal, characteristic, complemented
4#24919619C211yesmaximal, characteristic, complemented
5#24919604C211yesmaximal, characteristic, complemented
6#24919574C211yesmaximal, characteristic, complemented
7#24919544C211yesmaximal, characteristic, complemented
8#24919469C211yesmaximal, characteristic, complemented
9#24919439C211yesmaximal, characteristic, complemented
10#24919049C211yesmaximal, characteristic, complemented
11#24919004C211yesmaximal, characteristic, complemented
12#24918999C211yesmaximal, characteristic, complemented
13#24918989C211yesmaximal, characteristic, complemented
14#24918974C211yesmaximal, characteristic, complemented
15#24918959C211yesmaximal, characteristic, complemented
16#24918944C211yesmaximal, characteristic, complemented
17#24918939C211yesmaximal, characteristic, complemented
18#24918500C211yesmaximal, characteristic, complemented
19#24918458C211yesmaximal, characteristic, complemented
20#24918300C211yesmaximal, characteristic, complemented
21#24918273C211yesmaximal, characteristic, complemented
22#24918251C211yesmaximal, characteristic, complemented
23#24918224C211yesmaximal, characteristic, complemented
24#24917614C211yesmaximal, characteristic, complemented
25#24917572C211yesmaximal, characteristic, complemented
26#24916715C211yesmaximal, characteristic, complemented
27#24916705C211yesmaximal, characteristic, complemented
28#24916681C211yesmaximal, characteristic, complemented
29C2×#19127846C211yesmaximal, characteristic, complemented
30#24916492C211yesmaximal, characteristic, complemented
31D4×#41×C83C211yesmaximal, characteristic, complemented
32C2×#14581823C2211yescharacteristic, complemented
33C2×#14581818C2211yescharacteristic, complemented
34C2×#14581817C2211yescharacteristic, complemented
35C2×#14581817C2211yescharacteristic, complemented
36C2×#14581812C2211yescharacteristic, complemented
37C2×#14581812C2211yescharacteristic, complemented
38C22×#13050577C2211yescharacteristic, complemented
39C22×#13050575C2211yescharacteristic, complemented
40#19128416C2211yescharacteristic, complemented
41#19128408C2211yescharacteristic, complemented
42#19128399—21no—
43#19128397C2211yescharacteristic
44#19128397C2211yescharacteristic, complemented
45#19128372C2211yescharacteristic, complemented
46#19128347C2211yescharacteristic
47#19128347C2211yescharacteristic, complemented
48#19128341—21no—
49#19128341—21no—
50D4×D332C2211yescharacteristic, complemented
51D4×C22⋊D83—21no—
52#19128302—21no—
53#19128284—21no—
54#19128284—21no—
55#19128251C2211yescharacteristic, complemented
56#19128235C2211yescharacteristic, complemented
57#19128212C2211yescharacteristic, complemented
58#19128212C2211yescharacteristic, complemented
59C2×#14581766C2211yescharacteristic, complemented
60C2×#14581766C2211yescharacteristic, complemented
61#19128173—21no—
62#19128093C2211yescharacteristic, complemented
63#19128091C2211yescharacteristic, complemented
64#19128091C2211yescharacteristic, complemented
65#19128088C2211yescharacteristic, complemented
66#19128069C2211yescharacteristic, complemented
67#19128065C2211yescharacteristic, complemented
68#19128060C2211yescharacteristic, complemented
69#19128060C2211yescharacteristic, complemented
70#19128042C2211yescharacteristic, complemented
71#19128039C2211yescharacteristic, complemented
72#19128039C2211yescharacteristic, complemented
73#19128034C2211yescharacteristic, complemented
74#19128029C2211yescharacteristic, complemented
75#19128025C2211yescharacteristic, complemented
76#19128025C2211yescharacteristic, complemented
77#19128025C2211yescharacteristic, complemented
78#19128022C2211yescharacteristic, complemented
79#19128022C2211yescharacteristic, complemented
80#19128017C2211yescharacteristic, complemented
81#19128012C2211yescharacteristic, complemented
82#19128008C2211yescharacteristic, complemented
83#19128001C2211yescharacteristic, complemented
84#19127986C2211yescharacteristic, complemented
85#19127981C2211yescharacteristic, complemented
86#19127957C2211yescharacteristic, complemented
87#19127952C2211yescharacteristic, complemented
88#19127952C2211yescharacteristic, complemented
89#19127952C2211yescharacteristic, complemented
90#19127949C2211yescharacteristic, complemented
91#19127949C2211yescharacteristic, complemented
92#19127949C2211yescharacteristic, complemented
93#19127945C2211yescharacteristic, complemented
94#19127940C2211yescharacteristic, complemented
95#19127935C2211yescharacteristic, complemented
96#19127935C2211yescharacteristic, complemented
97#19127935C2211yescharacteristic, complemented
98#19127932C2211yescharacteristic, complemented
99#19127932C2211yescharacteristic, complemented
100#19127932C2211yescharacteristic, complemented
101#19127928C2211yescharacteristic, complemented
102#19127923C2211yescharacteristic, complemented
103#19127920C2211yescharacteristic, complemented
104#19127920C2211yescharacteristic, complemented
105#19127916C2211yescharacteristic, complemented
106#19127913C2211yescharacteristic, complemented
107#19127913C2211yescharacteristic, complemented
108#19127903C2211yescharacteristic, complemented
109#19127903C2211yescharacteristic, complemented
110#19127901C2211yescharacteristic, complemented
111#19127896C2211yescharacteristic, complemented
112#19127893C2211yescharacteristic, complemented
113#19127893C2211yescharacteristic, complemented
114#19127863C2211yescharacteristic, complemented
115#19127863C2211yescharacteristic, complemented
116#19127863C2211yescharacteristic, complemented
117#19127863C2211yescharacteristic, complemented
118#19127863C2211yescharacteristic, complemented
119#19127861C2211yescharacteristic, complemented
120#19127861C2211yescharacteristic, complemented
121#19127857C2211yescharacteristic, complemented
122#19127852C2211yescharacteristic, complemented
123#19127851C2211yescharacteristic, complemented
124#19127851C2211yescharacteristic, complemented
125#19127846C2211yescharacteristic
126#19127846C2211yescharacteristic, complemented
127#19127846C2211yescharacteristic, complemented
128#19127846C2211yescharacteristic, complemented
129#19127846C2211yescharacteristic, complemented
130#19127846C2211yescharacteristic, complemented
131#19127846C2211yescharacteristic, complemented
132#19127846C2211yescharacteristic, complemented
133#19127846C2211yescharacteristic, complemented
134#19127846C2211yescharacteristic, complemented
135#19127846C2211yescharacteristic, complemented
136#19127846C2211yescharacteristic, complemented
137#19127846C2211yescharacteristic, complemented
138#19127846C2211yescharacteristic, complemented
139#19127846C2211yescharacteristic, complemented
140#19127844C2211yescharacteristic, complemented
141#19127844C2211yescharacteristic, complemented
142#19127840C2211yescharacteristic, complemented
143#19127840C2211yescharacteristic, complemented
144#19127840C2211yescharacteristic, complemented
145#19127835C2211yescharacteristic, complemented
146#19127835C2211yescharacteristic, complemented
147#19127835C2211yescharacteristic, complemented
148#19127834C2211yescharacteristic, complemented
149#19127834C2211yescharacteristic, complemented
150#19127811C2211yescharacteristic, complemented
151#19127811C2211yescharacteristic, complemented
152#19127811C2211yescharacteristic, complemented
153#19127806C2211yescharacteristic, complemented
154#19127801C2211yescharacteristic, complemented
155#19127799C2211yescharacteristic, complemented
156#19127799C2211yescharacteristic, complemented
157#19127799C2211yescharacteristic, complemented
158#19127773C2211yescharacteristic, complemented
159#19127773C2211yescharacteristic, complemented
160#19127773C2211yescharacteristic, complemented
161#19127773C2211yescharacteristic, complemented
162#19127773C2211yescharacteristic, complemented
163#19127773C2211yescharacteristic, complemented
164#19127773C2211yescharacteristic, complemented
165#19127773C2211yescharacteristic, complemented
166#19127758C2211yescharacteristic, complemented
167#19127758C2211yescharacteristic, complemented
168#19127710C2211yescharacteristic, complemented
169#19127706C2211yescharacteristic, complemented
170#19127702C2211yescharacteristic, complemented
171#19127702C2211yescharacteristic, complemented
172#19127697C2211yescharacteristic, complemented
173#19127697C2211yescharacteristic, complemented
174C2×#14581716C2211yescharacteristic, complemented
175C2×#14581713C2211yescharacteristic, complemented
176#19127665C2211yescharacteristic, complemented
177#19127665C2211yescharacteristic, complemented
178C2×C22⋊(C83⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C83⋊C8)C2211yescharacteristic, complemented
180C22×#41×C83C2211yescharacteristic, complemented
181C22×#41×C83C2211yescharacteristic, complemented
182#550×C83C2211yescharacteristic, complemented
183D4×Q8×C83C2211yescharacteristic, complemented
184#548×C83C2211yescharacteristic
185#548×C83C2211yescharacteristic, complemented
186#547×C83—21no—
187#547×C83C2211yescharacteristic, complemented
188#546×C83—21no—
189#546×C83—21no—
190#546×C83C2211yescharacteristic
191#546×C83C2211yescharacteristic, complemented
192D42×C83—21no—
193D42×C83C2211yescharacteristic, complemented
194#532×C83—21no—
195#532×C83C2211yescharacteristic, complemented
196#525×C83—21no—
197#525×C83—21no—
198#525×C83C2211yescharacteristic, complemented
199#525×C83C2211yescharacteristic, complemented
200C4×#41×C83C2211yescharacteristic, complemented
201C2×C4×D4×C83—21no—
202C2×C4×D4×C83C2211yescharacteristic
203C2×#13050590—21no—
204C2×#13050590C2311yescharacteristic
205C2×#13050590C2311yescharacteristic
206C22×D332C2311yescharacteristic
207C22×D332C2311yescharacteristic
208C22×C22⋊D83—21no—
209C22×C22⋊D83—21no—
210C2×D4×D83—21no—
211#14581823—42no—
212#14581818—42no—
213#14581817—42no—
214#14581817—42no—
215#14581812—42no—
216#14581812—42no—
217C2×#13050580C2311yescharacteristic
218C2×#13050580C2311yescharacteristic
219C2×#13050580C2311yescharacteristic
220C2×#13050578C2311yescharacteristic
221C2×#13050578C2311yescharacteristic
222C2×#13050578C2311yescharacteristic
223C2×#13050577—42no—
224C2×#13050577C2311yescharacteristic
225C2×#13050577C2311yescharacteristic
226C2×#13050577C2311yescharacteristic
227C2×#13050577C2311yescharacteristic
228C2×#13050577C2311yescharacteristic
229C2×#13050577C2311yescharacteristic
230C2×#13050577C2311yescharacteristic
231C2×#13050577C2311yescharacteristic
232C2×#13050577C2311yescharacteristic
233C2×#13050575—42no—
234C2×#13050575C2311yescharacteristic
235C2×#13050575C2311yescharacteristic
236C2×#13050575C2311yescharacteristic
237C2×#13050575C2311yescharacteristic
238C2×#13050575C2311yescharacteristic
239C2×#13050575C2311yescharacteristic
240C2×#13050575C2311yescharacteristic
241C2×#13050575C2311yescharacteristic
242C2×#13050575C2311yescharacteristic
243C2×#13050574C2311yescharacteristic
244C2×#13050574C2311yescharacteristic
245C2×#13050574C2311yescharacteristic
246C2×#13050574C2311yescharacteristic
247C22×C83⋊C8C2311yescharacteristic
248C22×C83⋊C8C2311yescharacteristic
249C22×C83⋊C8C2311yescharacteristic
250C22×C83⋊C8C2311yescharacteristic
251#14581792C2311yescharacteristic
252#14581789C2311yescharacteristic
253#14581788—21no—
254#14581787—21no—
255#14581787—21no—
256#14581786—21no—
257#14581784C2311yescharacteristic
258#14581783—21no—
259#14581780—21no—
260#14581780C2311yescharacteristic
261#14581778—21no—
262#14581778—21no—
263#14581777—21no—
264#14581777—21no—
265#14581775—21no—
266#14581775—21no—
267#14581775—21no—
268#14581774—21no—
269#14581774—21no—
270#14581771C2311yescharacteristic
271#14581771C2311yescharacteristic
272#14581771C2311yescharacteristic
273#14581769—21no—
274#14581769—21no—
275#14581767—21no—
276#14581766—21no—
277#14581766—21no—
278#14581766—21no—
279#14581766—21no—
280#14581766—21no—
281#14581766C2311yescharacteristic
282#14581766C2311yescharacteristic
283#14581766C2311yescharacteristic
284#14581766C2311yescharacteristic
285#14581766C2311yescharacteristic
286#14581766C2311yescharacteristic
287#14581766C2311yescharacteristic
288#14581766C2311yescharacteristic
289#14581766C2311yescharacteristic
290#14581765—21no—
291#14581765—21no—
292#14581765—21no—
293#14581765—21no—
294#14581764—21no—
295#14581764—21no—
296#14581763—21no—
297#14581762—21no—
298#14581762—21no—
299#14581761—21no—
300#14581761—21no—
301#14581760—21no—
302#14581760—21no—
303C4×Dic166C2311yescharacteristic
304C4×D332—21no—
305C4×D332C2311yescharacteristic
306C4×D332C2311yescharacteristic
307C4×D332C2311yescharacteristic
308D4×Dic83—21no—
309#14581754—21no—
310C4×C22⋊D83—21no—
311C4×C22⋊D83—21no—
312C4×C22⋊D83—21no—
313C4×C22⋊D83—21no—
314C4×C22⋊D83—21no—
315(C22⋊D83)⋊C4—21no—
316(C22⋊D83)⋊C4—21no—
317#14581751C2311yescharacteristic
318#14581751C2311yescharacteristic
319#14581750—21no—
320#14581749—21no—
321C2×C4⋊Dic83C2311yescharacteristic
322C2×C4⋊Dic83C2311yescharacteristic
323C2×(C2×D83)⋊C4—21no—
324C2×(C2×D83)⋊C4—21no—
325C22⋊C4×D83—21no—
326C22⋊C4×D83—21no—
327#14581725C2311yescharacteristic
328#14581725C2311yescharacteristic
329#14581725C2311yescharacteristic
330#14581725C2311yescharacteristic
331#14581723C2311yescharacteristic
332#14581723C2311yescharacteristic
333#14581723C2311yescharacteristic
334#14581723C2311yescharacteristic
335C4⋊(C83⋊C8)C2311yescharacteristic
336C4⋊(C83⋊C8)C2311yescharacteristic
337C4⋊(C83⋊C8)C2311yescharacteristic
338C4⋊(C83⋊C8)C2311yescharacteristic
339#14581716C2311yescharacteristic
340#14581716C2311yescharacteristic
341#14581716C2311yescharacteristic
342#14581716C2311yescharacteristic
343#14581716C2311yescharacteristic
344#14581716C2311yescharacteristic
345#14581716C2311yescharacteristic
346#14581716C2311yescharacteristic
347#14581716C2311yescharacteristic
348#14581716C2311yescharacteristic
349#14581716C2311yescharacteristic
350#14581716C2311yescharacteristic
351#14581715C2311yescharacteristic
352#14581715C2311yescharacteristic
353#14581713C2311yescharacteristic
354#14581713C2311yescharacteristic
355#14581713C2311yescharacteristic
356#14581713C2311yescharacteristic
357#14581713C2311yescharacteristic
358#14581713C2311yescharacteristic
359#14581713C2311yescharacteristic
360#14581713C2311yescharacteristic
361#14581713C2311yescharacteristic
362#14581713C2311yescharacteristic
363#14581713C2311yescharacteristic
364#14581713C2311yescharacteristic
365#14581712C2311yescharacteristic
366#14581712C2311yescharacteristic
367#14581712C2311yescharacteristic
368#14581712C2311yescharacteristic
369#14581712C2311yescharacteristic
370#14581712C2311yescharacteristic
371C22⋊(C83⋊C8)C2311yescharacteristic
372C22⋊(C83⋊C8)C2311yescharacteristic
373C22⋊(C83⋊C8)C2311yescharacteristic
374C22⋊(C83⋊C8)C2311yescharacteristic
375C22⋊(C83⋊C8)C2311yescharacteristic
376C22⋊(C83⋊C8)C2311yescharacteristic
377C22⋊(C83⋊C8)C2311yescharacteristic
378C22⋊(C83⋊C8)C2311yescharacteristic
379C22⋊(C83⋊C8)C2311yescharacteristic
380C22⋊(C83⋊C8)C2311yescharacteristic
381C22⋊(C83⋊C8)C2311yescharacteristic
382C22⋊(C83⋊C8)C2311yescharacteristic
383#14581703C2311yescharacteristic
384#14581703C2311yescharacteristic
385#14581703C2311yescharacteristic
386#14581703C2311yescharacteristic
387C2×#41×C83—21no—
388C2×#41×C83—21no—
389C2×#41×C83—21no—
390C2×#41×C83—21no—
391C2×#41×C83—42no—
392C2×#41×C83—42no—
393C2×#41×C83—42no—
394C2×#41×C83—42no—
395C2×#41×C83C2311yescharacteristic
396C2×#41×C83C2311yescharacteristic
397C2×#41×C83C2311yescharacteristic
398C2×#41×C83C2311yescharacteristic
399C2×#41×C83C2311yescharacteristic
400C2×#41×C83C2311yescharacteristic
401C2×#41×C83C2311yescharacteristic
402C22×Q8×C83C2311yescharacteristic
403C22×Q8×C83C2311yescharacteristic
404C22×D4×C83—21no—
405C22×D4×C83—21no—
406C22×D4×C83—21no—
407C22×D4×C83D411yescharacteristic
408C22×D4×C83C2311yescharacteristic
409C22×D4×C83C2311yescharacteristic
410C23×C4×C83—21no—
411C23×C4×C83—21no—
412C23×C4×C83C2311yescharacteristic
413C23×C4×C83C2311yescharacteristic
414C4⋊Q8×C83—21no—
415C4⋊Q8×C83C2311yescharacteristic
416#127×C83—21no—
417#127×C83C2311yescharacteristic
418#124×C83—21no—
419#124×C83—21no—
420#124×C83C2311yescharacteristic
421#124×C83C2311yescharacteristic
422#123×C83—21no—
423#123×C83—21no—
424#123×C83—21no—
425#123×C83—21no—
426#123×C83—21no—
427#123×C83—21no—
428C22⋊Q8×C83—21no—
429C22⋊Q8×C83—21no—
430C22⋊Q8×C83—21no—
431C22⋊Q8×C83—21no—
432C22⋊Q8×C83C2311yescharacteristic
433C22⋊Q8×C83C2311yescharacteristic
434C22⋊Q8×C83C2311yescharacteristic
435C22⋊Q8×C83C2311yescharacteristic
436#121×C83—21no—
437#121×C83—21no—
438#121×C83—21no—
439#121×C83—21no—
440#121×C83—21no—
441#121×C83—21no—
442#121×C83—21no—
443#121×C83—21no—
444#121×C83—21no—
445#121×C83—21no—
446#121×C83C2311yescharacteristic
447#121×C83C2311yescharacteristic
448#121×C83C2311yescharacteristic
449#121×C83C2311yescharacteristic
450#120×C83—21no—
451#120×C83—21no—
452#120×C83—21no—
453#120×C83—21no—
454#120×C83—21no—
455#120×C83—21no—
456C4×Q8×C83C2311yescharacteristic
457C4×Q8×C83C2311yescharacteristic
458C4×D4×C83—21no—
459C4×D4×C83—21no—
460C4×D4×C83—21no—
461C4×D4×C83—21no—
462C4×D4×C83—21no—
463C4×D4×C83—21no—
464C4×D4×C83—21no—
465C4×D4×C83—21no—
466C4×D4×C83—21no—
467C4×D4×C83—21no—
468C4×D4×C83—21no—
469C4×D4×C83—21no—
470C4×D4×C83D411yescharacteristic
471C4×D4×C83D411yescharacteristic
472C4×D4×C83D411yescharacteristic
473C4×D4×C83D411yescharacteristic
474C4×D4×C83C2311yescharacteristic
475C4×D4×C83C2311yescharacteristic
476C4×D4×C83C2311yescharacteristic
477C4×D4×C83C2311yescharacteristic
478C4×D4×C83C2311yescharacteristic
479C4×D4×C83C2311yescharacteristic
480#117×C83—21no—
481#117×C83C2311yescharacteristic
482C2×C4⋊C4×C83—21no—
483C2×C4⋊C4×C83D411yescharacteristic
484C2×C22⋊C4×C83—21no—
485C2×C22⋊C4×C83—21no—
486C2×C22⋊C4×C83D411yescharacteristic
487C2×C22⋊C4×C83D411yescharacteristic
488C2×C42×C83—21no—
489C2×C42×C83C2311yescharacteristic
490C23×D83—21no—
491C23×D83—21no—
492#13050590—41no—
493#13050590—41no—
494#13050590—41no—
495#13050590—41no—
496#13050590—82no—
497C2×Dic166—21no—
498C2×Dic166C2411yescharacteristic
499C2×D332—21no—
500C2×D332—21no—
501C2×D332—21no—
502C2×D332—21no—
503C2×D332—41no—
504C2×D332—41no—
505C2×D332—41no—
506C2×D332—41no—
507C2×D332C2411yescharacteristic
508C2×D332C2411yescharacteristic
509C2×D332C2411yescharacteristic
510C2×C22⋊D83—21no—
511C2×C22⋊D83—21no—
512C2×C22⋊D83—21no—
513C2×C22⋊D83—21no—
514C2×C22⋊D83—21no—
515C2×C22⋊D83—21no—
516C2×C22⋊D83—21no—
517C2×C22⋊D83—21no—
518C2×C22⋊D83—21no—
519C2×C22⋊D83—21no—
520C2×C22⋊D83—21no—
521C2×C22⋊D83—82no—
522C2×C22⋊D83—82no—
523D4×D83—44no—
524C22×Dic83—21no—
525C22×Dic83—21no—
526C2×C4×D83—21no—
527C2×C4×D83—21no—
528C2×C4×D83—21no—
529C2×C4×D83—21no—
530C2×C4×D83—21no—
531#13050580—22no—
532#13050580—41no—
533#13050580—41no—
534#13050578—22no—
535#13050578—41no—
536#13050578—41no—
537#13050577—22no—
538#13050577—22no—
539#13050577—22no—
540#13050577—41no—
541#13050577—41no—
542#13050577—41no—
543#13050577—41no—
544#13050577—41no—
545#13050577—41no—
546#13050575—22no—
547#13050575—22no—
548#13050575—22no—
549#13050575—41no—
550#13050575—41no—
551#13050575—41no—
552#13050575—41no—
553#13050575—41no—
554#13050575—41no—
555#13050574—41no—
556#13050574—41no—
557#13050574—41no—
558#13050574—41no—
559C2×C83⋊C8—41no—
560C2×C83⋊C8—41no—
561C2×C83⋊C8—41no—
562C2×C83⋊C8—41no—
563C2×C83⋊C8C2411yescharacteristic
564C2×C83⋊C8C2411yescharacteristic
565C2×C83⋊C8C2411yescharacteristic
566C2×C83⋊C8C2411yescharacteristic
567C2×C83⋊C8C2411yescharacteristic
568C2×C83⋊C8C2411yescharacteristic
569C2×C83⋊C8C2411yescharacteristic
570C2×C83⋊C8C2411yescharacteristic
571C4⋊Dic83—21no—
572C4⋊Dic83—21no—
573C4⋊Dic83—21no—
574C4⋊Dic83C2411yescharacteristic
575C4⋊Dic83C2411yescharacteristic
576C4⋊Dic83C2411yescharacteristic
577C4⋊Dic83C2411yescharacteristic
578Dic83⋊C4—21no—
579Dic83⋊C4—21no—
580Dic83⋊C4—21no—
581Dic83⋊C4—21no—
582Dic83⋊C4—21no—
583Dic83⋊C4—21no—
584C22⋊Dic83—21no—
585C22⋊Dic83—21no—
586C22⋊Dic83—21no—
587C22⋊Dic83—21no—
588C22⋊Dic83—21no—
589(C2×D83)⋊C4—21no—
590(C2×D83)⋊C4—21no—
591(C2×D83)⋊C4—21no—
592(C2×D83)⋊C4—21no—
593(C2×D83)⋊C4—21no—
594(C2×D83)⋊C4—21no—
595(C2×D83)⋊C4—21no—
596(C2×D83)⋊C4—21no—
597(C2×D83)⋊C4—21no—
598(C2×D83)⋊C4—21no—
599(C2×D83)⋊C4—21no—
600(C2×D83)⋊C4—21no—
601(C2×D83)⋊C4—21no—
602(C2×D83)⋊C4—21no—
603C4×Dic83—21no—
604C4×Dic83—21no—
605C4×Dic83—21no—
606C24×C83—21no—
607C24×C83—21no—
608C24×C83C2×D411yescharacteristic
609C24×C83C2×D411yescharacteristic
610#41×C83—22no—
611#41×C83—22no—
612#41×C83—22no—
613#41×C83—22no—
614#41×C83—22no—
615#41×C83—22no—
616#41×C83—41no—
617#41×C83—41no—
618#41×C83—41no—
619#41×C83—41no—
620#41×C83—41no—
621#41×C83—41no—
622#41×C83—41no—
623#41×C83—41no—
624#41×C83—44no—
625#41×C83—44no—
626#41×C83—44no—
627#41×C83—44no—
628C2×Q8×C83—21no—
629C2×Q8×C83—21no—
630C2×Q8×C83—22no—
631C2×Q8×C83—22no—
632C2×Q8×C83—41no—
633C2×Q8×C83—41no—
634C2×Q8×C83C2411yescharacteristic
635C2×Q8×C83C2411yescharacteristic
636C2×Q8×C83C2411yescharacteristic
637C2×D4×C83—21no—
638C2×D4×C83—22no—
639C2×D4×C83—22no—
640C2×D4×C83—21no—
641C2×D4×C83—21no—
642C2×D4×C83—21no—
643C2×D4×C83—21no—
644C2×D4×C83—21no—
645C2×D4×C83—21no—
646C2×D4×C83—21no—
647C2×D4×C83—21no—
648C2×D4×C83—21no—
649C2×D4×C83—21no—
650C2×D4×C83—21no—
651C2×D4×C83—21no—
652C2×D4×C83—21no—
653C2×D4×C83—21no—
654C2×D4×C83—41no—
655C2×D4×C83—41no—
656C2×D4×C83—42no—
657C2×D4×C83—44no—
658C2×D4×C83—44no—
659C2×D4×C83—44no—
660C2×D4×C83C2×D411yescharacteristic
661C2×D4×C83C2×D411yescharacteristic
662C2×D4×C83C2×D411yescharacteristic
663C2×D4×C83C2×D411yescharacteristic
664C2×D4×C83C2411yescharacteristic
665C2×D4×C83C2411yescharacteristic
666C2×D4×C83C2411yescharacteristic
667C22×C4×C83—21no—
668C22×C4×C83—21no—
669C22×C4×C83—21no—
670C22×C4×C83—21no—
671C22×C4×C83—21no—
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—41no—
679C22×C4×C83—41no—
680C22×C4×C83—41no—
681C22×C4×C83—41no—
682C22×C4×C83—44no—
683C22×C4×C83—44no—
684C22×C4×C83C2×D411yescharacteristic
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×C83C2411yescharacteristic
693C22×C4×C83C2411yescharacteristic
694C22×C4×C83C2411yescharacteristic
695C22×C4×C83C2411yescharacteristic
696C22×C4×C83C2411yescharacteristic
697C4⋊C4×C83—21no—
698C4⋊C4×C83—21no—
699C4⋊C4×C83—21no—
700C4⋊C4×C83—21no—
701C4⋊C4×C83—21no—
702C4⋊C4×C83—21no—
703C4⋊C4×C83—21no—
704C4⋊C4×C83—21no—
705C4⋊C4×C83C2×D411yescharacteristic
706C4⋊C4×C83C2×D411yescharacteristic
707C4⋊C4×C83C2×D411yescharacteristic
708C4⋊C4×C83C2×D411yescharacteristic
709C4⋊C4×C83C2411yescharacteristic
710C4⋊C4×C83C2411yescharacteristic
711C22⋊C4×C83—21no—
712C22⋊C4×C83—21no—
713C22⋊C4×C83—21no—
714C22⋊C4×C83—21no—
715C22⋊C4×C83—21no—
716C22⋊C4×C83—21no—
717C22⋊C4×C83—21no—
718C22⋊C4×C83—21no—
719C22⋊C4×C83—21no—
720C22⋊C4×C83—21no—
721C22⋊C4×C83—21no—
722C22⋊C4×C83—21no—
723C22⋊C4×C83—21no—
724C22⋊C4×C83—21no—
725C22⋊C4×C83—21no—
726C22⋊C4×C83C2×D411yescharacteristic
727C22⋊C4×C83C2×D411yescharacteristic
728C22⋊C4×C83C2×D411yescharacteristic
729C22⋊C4×C83C2×D411yescharacteristic
730C22⋊C4×C83C2×D411yescharacteristic
731C22⋊C4×C83C2×D411yescharacteristic
732C22⋊C4×C83C2×D411yescharacteristic
733C22⋊C4×C83C2×D411yescharacteristic
734C42×C83—21no—
735C42×C83—21no—
736C42×C83—21no—
737C42×C83C2×D411yescharacteristic
738C42×C83C2×D411yescharacteristic
739C42×C83C2411yescharacteristic
740C42×C83C2411yescharacteristic
741C23×C83—21no—
742C23×C83—22no—
743C23×C83—21no—
744C23×C83—21no—
745C23×C83—41no—
746C23×C83—41no—
747C23×C83—41no—
748C23×C83—41no—
749C23×C83—41no—
750C23×C83—42no—
751C23×C83—42no—
752C23×C83—42no—
753C23×C83—42no—
754C23×C83—81no—
755C23×C83—81no—
756C23×C83C22×D411yescharacteristic
757C23×C83C22×D411yescharacteristic
758C23×C83C22×D411yescharacteristic
759C23×C83C22×D411yescharacteristic
760C23×C83C22×D411yescharacteristic
761C22×D83—21no—
762C22×D83—21no—
763C22×D83—21no—
764C22×D83—42no—
765C22×D83—42no—
766C22×D83—81no—
767C22×D83—81no—
768C22×D83—81no—
769C22×D83—81no—
770Q8×C83—21no—
771Q8×C83—21no—
772Q8×C83—21no—
773Q8×C83—21no—
774Q8×C83—21no—
775Q8×C83—42no—
776Q8×C83—42no—
777Q8×C83H(5,𝔽2)12yes—
778D4×C83—24no—
779D4×C83—22no—
780D4×C83—22no—
781D4×C83—21no—
782D4×C83—21no—
783D4×C83—21no—
784D4×C83—21no—
785D4×C83—21no—
786D4×C83—41no—
787D4×C83—41no—
788D4×C83—42no—
789D4×C83—42no—
790D4×C83—42no—
791D4×C83—42no—
792D4×C83—42no—
793D4×C83—42no—
794D4×C83—42no—
795D4×C83—42no—
796D4×C83—42no—
797D4×C83—42no—
798D4×C83—42no—
799D4×C83—81no—
800D4×C83—81no—
801D4×C83—81no—
802D4×C83H(5,𝔽2)12yes—
803C2×C4×C83—24no—
804C2×C4×C83—21no—
805C2×C4×C83—21no—
806C2×C4×C83—21no—
807C2×C4×C83—21no—
808C2×C4×C83—21no—
809C2×C4×C83—21no—
810C2×C4×C83—21no—
811C2×C4×C83—21no—
812C2×C4×C83—21no—
813C2×C4×C83—21no—
814C2×C4×C83—21no—
815C2×C4×C83—21no—
816C2×C4×C83—21no—
817C2×C4×C83—21no—
818C2×C4×C83—21no—
819C2×C4×C83—41no—
820C2×C4×C83—41no—
821C2×C4×C83—41no—
822C2×C4×C83—41no—
823C2×C4×C83—41no—
824C2×C4×C83—41no—
825C2×C4×C83—41no—
826C2×C4×C83—41no—
827C2×C4×C83—42no—
828C2×C4×C83—42no—
829C2×C4×C83—42no—
830C2×C4×C83—42no—
831C2×C4×C83—42no—
832C2×C4×C83—42no—
833C2×C4×C83—42no—
834C2×C4×C83—42no—
835C2×C4×C83—42no—
836C2×C4×C83—81no—
837C2×C4×C83C22×D411yescharacteristic
838C2×C4×C83C22×D411yescharacteristic
839C2×C4×C83C22×D411yescharacteristic
840C2×C4×C83C22×D411yescharacteristic
841C2×C4×C83C22×D411yescharacteristic
842C2×C4×C83C22×D411yescharacteristic
843C2×C4×C83C22×D411yescharacteristic
844C2×C4×C83C22×D411yescharacteristic
845C2×C4×C83C22×D411yescharacteristic
846C2×C4×C83C2511yescharacteristic
847C22⋊D83—42no—
848C22⋊D83—42no—
849C22⋊D83—42no—
850C22⋊D83—42no—
851C22⋊D83—42no—
852C22⋊D83—81no—
853C22⋊D83—81no—
854C22⋊D83—81no—
855C22⋊D83—81no—
856C22⋊D83—81no—
857C22⋊D83—81no—
858C2×Dic83—21no—
859C2×Dic83—21no—
860C2×Dic83—21no—
861C2×Dic83—21no—
862C2×Dic83—21no—
863C2×Dic83—81no—
864C2×Dic83—81no—
865D332—21no—
866D332—21no—
867D332—21no—
868D332—21no—
869D332—21no—
870D332—21no—
871D332—42no—
872D332—81no—
873D332—81no—
874D332—81no—
875C4×D83—42no—
876C4×D83—81no—
877C4×D83—81no—
878C4×D83—81no—
879C4×D83—81no—
880Dic166—21no—
881Dic166—21no—
882Dic166—81no—
883C83⋊C8—21no—
884C83⋊C8—21no—
885C83⋊C8—21no—
886C83⋊C8—21no—
887C83⋊C8—21no—
888C83⋊C8—21no—
889C83⋊C8—21no—
890C83⋊C8—21no—
891C22×C83—21no—
892C22×C83—21no—
893C22×C83—21no—
894C22×C83—21no—
895C22×C83—21no—
896C22×C83—21no—
897C22×C83—21no—
898C22×C83—21no—
899C22×C83—21no—
900C22×C83—22no—
901C22×C83—21no—
902C22×C83—21no—
903C22×C83—21no—
904C22×C83—21no—
905C22×C83—21no—
906C22×C83—41no—
907C22×C83—41no—
908C22×C83—41no—
909C22×C83—41no—
910C22×C83—41no—
911C22×C83—41no—
912C22×C83—41no—
913C22×C83—41no—
914C22×C83—82no—
915C22×C83—84no—
916C22×C83—82no—
917C22×C83—84no—
918C22×C83#57512yes—
919C22×C83C23×D411yescharacteristic
920C2×D83—41no—
921C2×D83—41no—
922C2×D83—41no—
923C2×D83—41no—
924C2×D83—41no—
925C2×D83—41no—
926C2×D83—41no—
927C2×D83—41no—
928C2×D83—41no—
929C2×D83—162no—
930C2×D83—162no—
931C4×C83—21no—
932C4×C83—21no—
933C4×C83—21no—
934C4×C83—21no—
935C4×C83—21no—
936C4×C83—21no—
937C4×C83—21no—
938C4×C83—22no—
939C4×C83—21no—
940C4×C83—21no—
941C4×C83—41no—
942C4×C83—41no—
943C4×C83—41no—
944C4×C83—41no—
945C4×C83C2×H(5,𝔽2)11yescharacteristic
946C4×C83C2×H(5,𝔽2)11yescharacteristic
947Dic83—41no—
948Dic83—41no—
949Dic83—41no—
950Dic83—41no—
951Dic83—41no—
952#61579—831nomaximal, Sylow
953C2×C83—22no—
954C2×C83—41no—
955C2×C83—41no—
956C2×C83—41no—
957C2×C83—41no—
958C2×C83—42no—
959C2×C83—81no—
960C2×C83—81no—
961C2×C83#348411yescharacteristic
962C2×C83C2×#57511yescharacteristic
963C2×C83#358511yescharacteristic
964D83—81no—
965D83—81no—
966D83—81no—
967#3519—831no—
968D4×#41D8311yescharacteristic, complemented
969#3321—831no—
970#3320—831no—
971#3319—831no—
972#3318—831no—
973#3316—831no—
974#3314—831no—
975#3309—831no—
976#3307—831no—
977#3271—831no—
978#3268—831no—
979#3268—831no—
980#3267—831no—
981#3266—831no—
982#3265—831no—
983#3264—831no—
984#3264—831no—
985#3219—831no—
986#3214—831no—
987#3197—831no—
988#3194—831no—
989#3191—831no—
990#3188—831no—
991#3115—831no—
992#3111—831no—
993#3006—831no—
994#3005—831no—
995#3002—831no—
996C2×#449—831no—
997#2973—831no—
998C83#6157911yescharacteristic, complemented, Sylow
999C22×#41C2×D8311yescharacteristic, complemented
1000C22×#41C2×D8311yescharacteristic, complemented
1001C2×#137—831no—
1002C2×AGL(1,ℤ/8)—831no—
1003C2×AGL(1,ℤ/8)—831no—
1004C2×AGL(1,ℤ/8)—831no—
1005C2×#135—831no—
1006C2×#135—831no—
1007C22×SD16—831no—
1008C22×D8—831no—
1009#555—831no—
1010#554—831no—
1011#553—831no—
1012#553—831no—
1013#553—1661no—
1014#550—831no—
1015#550C2×D8311yescharacteristic, complemented
1016D4×Q8C2×D8311yescharacteristic, complemented
1017#548C2×D8311yescharacteristic
1018#548C2×D8311yescharacteristic, complemented
1019#547—21no—
1020#547C2×D8311yescharacteristic, complemented
1021#546—21no—
1022#546—21no—
1023#546—831no—
1024#546—831no—
1025#546—1661no—
1026#546—1661no—
1027#546C2×D8311yescharacteristic
1028#546C2×D8311yescharacteristic, complemented
1029D42—21no—
1030D42—831no—
1031D42—1661no—
1032D42C2×D8311yescharacteristic, complemented
1033#540—1661no—
1034#538—1661no—
1035#538—1661no—
1036#532—21no—
1037#532—831no—
1038#532C2×D8311yescharacteristic, complemented
1039#529—831no—
1040#525—21no—
1041#525—21no—
1042#525—831no—
1043#525—831no—
1044#525C2×D8311yescharacteristic, complemented
1045#525C2×D8311yescharacteristic, complemented
1046C2×#121—831no—
1047C2×#121—831no—
1048#518—1661no—
1049C4×#41C2×D8311yescharacteristic, complemented
1050C2×C4×D4—21no—
1051C2×C4×D4C2×D8311yescharacteristic
1052#497—831no—
1053#496—831no—
1054#496—831no—
1055#496—831no—
1056#491—831no—
1057#490—831no—
1058#489—831no—
1059#489—831no—
1060#485—831no—
1061#485—831no—
1062#485—831no—
1063#484—831no—
1064#483—831no—
1065#482—831no—
1066#482—831no—
1067#482—831no—
1068#482—831no—
1069#482—831no—
1070#481—831no—
1071#480—831no—
1072#479—831no—
1073#478—831no—
1074#475—831no—
1075#474—831no—
1076#470—831no—
1077#469—831no—
1078#469—831no—
1079#469—831no—
1080#468—831no—
1081#468—831no—
1082#468—831no—
1083#468—831no—
1084#467—831no—
1085#466—831no—
1086#466—831no—
1087#466—831no—
1088#465—831no—
1089#465—831no—
1090#465—831no—
1091#465—831no—
1092#464—831no—
1093#464—831no—
1094#464—831no—
1095#463—831no—
1096#463—831no—
1097#463—831no—
1098#461—831no—
1099#461—831no—
1100#460—831no—
1101#459—831no—
1102#459—831no—
1103#459—831no—
1104#452—831no—
1105#452—831no—
1106#452—831no—
1107#452—831no—
1108#452—831no—
1109#452—831no—
1110#452—831no—
1111#451—831no—
1112#450—831no—
1113#450—831no—
1114#450—831no—
1115#449—831no—
1116#449—831no—
1117#449—831no—
1118#449—831no—
1119#449—831no—
1120#449—831no—
1121#449—831no—
1122#449—831no—
1123#449—831no—
1124#449—831no—
1125#449—831no—
1126#449—831no—
1127#449—831no—
1128#449—831no—
1129#449—831no—
1130#449—831no—
1131#449—831no—
1132#448—831no—
1133#448—831no—
1134#448—831no—
1135#447—831no—
1136#447—831no—
1137#447—831no—
1138#447—831no—
1139#447—831no—
1140#442—831no—
1141#442—831no—
1142#442—831no—
1143#441—831no—
1144#440—831no—
1145#440—831no—
1146#440—831no—
1147#440—831no—
1148#435—831no—
1149#435—831no—
1150#435—831no—
1151#435—831no—
1152#435—831no—
1153#435—831no—
1154#435—831no—
1155#435—831no—
1156#432—831no—
1157#432—831no—
1158#419—831no—
1159#418—831no—
1160#417—831no—
1161#417—831no—
1162#416—831no—
1163#416—831no—
1164C2×#103—831no—
1165C2×#102—831no—
1166#407—831no—
1167#407—831no—
1168C2×C22⋊C8—831no—
1169C2×C22⋊C8—831no—
1170C2×#41—21no—
1171C2×#41—21no—
1172C2×#41—21no—
1173C2×#41—21no—
1174C2×#41—42no—
1175C2×#41—42no—
1176C2×#41—42no—
1177C2×#41—42no—
1178C2×#41—831no—
1179C2×#41—831no—
1180C2×#41—1661no—
1181C2×#41C22×D8311yescharacteristic
1182C2×#41C22×D8311yescharacteristic
1183C2×#41C22×D8311yescharacteristic
1184C2×#41C22×D8311yescharacteristic
1185C2×#41C22×D8311yescharacteristic
1186C2×#41C22×D8311yescharacteristic
1187C2×#41C22×D8311yescharacteristic
1188C22×Q8C22×D8311yescharacteristic
1189C22×Q8C22×D8311yescharacteristic
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—831no—
1194C22×D4—831no—
1195C22×D4—1661no—
1196C22×D4—1661no—
1197C22×D4—1661no—
1198C22×D4C22⋊D8311yescharacteristic
1199C22×D4C22×D8311yescharacteristic
1200C22×D4C22×D8311yescharacteristic
1201C23×C4—21no—
1202C23×C4—21no—
1203C23×C4C22×D8311yescharacteristic
1204C23×C4C22×D8311yescharacteristic
1205#137—3322no—
1206AGL(1,ℤ/8)—3322no—
1207AGL(1,ℤ/8)—3322no—
1208AGL(1,ℤ/8)—3322no—
1209#135—3322no—
1210#135—3322no—
1211C2×Q16—831no—
1212C2×Q16—831no—
1213C2×Q16—831no—
1214C2×SD16—3322no—
1215C2×SD16—831no—
1216C2×SD16—831no—
1217C2×SD16—831no—
1218C2×SD16—831no—
1219C2×SD16—831no—
1220C2×SD16—831no—
1221C2×SD16—831no—
1222C2×SD16—831no—
1223C2×SD16—831no—
1224C2×SD16—831no—
1225C2×SD16—831no—
1226C2×SD16—831no—
1227C2×D8—3322no—
1228C2×D8—831no—
1229C2×D8—831no—
1230C2×D8—831no—
1231C2×D8—831no—
1232C2×D8—831no—
1233C2×D8—831no—
1234C2×D8—831no—
1235C2×D8—831no—
1236C2×D8—831no—
1237C2×M16—831no—
1238C2×M16—831no—
1239C2×M16—831no—
1240C2×M16—831no—
1241C22×C8—831no—
1242C22×C8—831no—
1243C22×C8—831no—
1244C22×C8—831no—
1245C4⋊Q8—21no—
1246C4⋊Q8—831no—
1247C4⋊Q8C22×D8311yescharacteristic
1248#127—21no—
1249#127—831no—
1250#127—1661no—
1251#127C22×D8311yescharacteristic
1252#126—1661no—
1253#126—1661no—
1254#126—1661no—
1255#125—831no—
1256#125—1661no—
1257#124—21no—
1258#124—21no—
1259#124—831no—
1260#124—1661no—
1261#124—1661no—
1262#124—1661no—
1263#124C22×D8311yescharacteristic
1264#124C22×D8311yescharacteristic
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—1661no—
1272#123—1661no—
1273#123—1661no—
1274#123—1661no—
1275#123—1661no—
1276#123—1661no—
1277#123—1661no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—21no—
1282C22⋊Q8—831no—
1283C22⋊Q8—831no—
1284C22⋊Q8—831no—
1285C22⋊Q8—1661no—
1286C22⋊Q8—1661no—
1287C22⋊Q8C22×D8311yescharacteristic
1288C22⋊Q8C22×D8311yescharacteristic
1289C22⋊Q8C22×D8311yescharacteristic
1290C22⋊Q8C22×D8311yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—831no—
1302#121—831no—
1303#121—831no—
1304#121—831no—
1305#121—831no—
1306#121—831no—
1307#121—831no—
1308#121—831no—
1309#121—831no—
1310#121—1661no—
1311#121—1661no—
1312#121—1661no—
1313#121—1661no—
1314#121—1661no—
1315#121—1661no—
1316#121—1661no—
1317#121—1661no—
1318#121—1661no—
1319#121—1661no—
1320#121—1661no—
1321#121—1661no—
1322#121—1661no—
1323#121C22×D8311yescharacteristic
1324#121C22×D8311yescharacteristic
1325#121C22×D8311yescharacteristic
1326#121C22×D8311yescharacteristic
1327#120—21no—
1328#120—21no—
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—1661no—
1334#120—1661no—
1335#120—1661no—
1336#120—1661no—
1337#120—1661no—
1338#120—1661no—
1339C4×Q8—831no—
1340C4×Q8C22×D8311yescharacteristic
1341C4×Q8C22×D8311yescharacteristic
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—831no—
1355C4×D4—831no—
1356C4×D4—831no—
1357C4×D4—1661no—
1358C4×D4—1661no—
1359C4×D4—1661no—
1360C4×D4—1661no—
1361C4×D4—1661no—
1362C4×D4—1661no—
1363C4×D4—1661no—
1364C4×D4—1661no—
1365C4×D4—1661no—
1366C4×D4—1661no—
1367C4×D4C22⋊D8311yescharacteristic
1368C4×D4C22⋊D8311yescharacteristic
1369C4×D4C22⋊D8311yescharacteristic
1370C4×D4C22⋊D8311yescharacteristic
1371C4×D4C22×D8311yescharacteristic
1372C4×D4C22×D8311yescharacteristic
1373C4×D4C22×D8311yescharacteristic
1374C4×D4C22×D8311yescharacteristic
1375C4×D4C22×D8311yescharacteristic
1376C4×D4C22×D8311yescharacteristic
1377#117—21no—
1378#117—831no—
1379#117—831no—
1380#117—1661no—
1381#117—1661no—
1382#117C22×D8311yescharacteristic
1383C2×C4⋊C4—21no—
1384C2×C4⋊C4—831no—
1385C2×C4⋊C4—831no—
1386C2×C4⋊C4C22⋊D8311yescharacteristic
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389C2×C22⋊C4—1661no—
1390C2×C22⋊C4—1661no—
1391C2×C22⋊C4—1661no—
1392C2×C22⋊C4—1661no—
1393C2×C22⋊C4C22⋊D8311yescharacteristic
1394C2×C22⋊C4C22⋊D8311yescharacteristic
1395C2×C42—21no—
1396C2×C42C22×D8311yescharacteristic
1397#107—831no—
1398#107—831no—
1399#107—831no—
1400#107—831no—
1401#106—831no—
1402#106—831no—
1403#106—831no—
1404#106—831no—
1405C4⋊C8—831no—
1406C4⋊C8—831no—
1407C4⋊C8—831no—
1408C4⋊C8—831no—
1409#103—831no—
1410#103—831no—
1411#103—831no—
1412#103—831no—
1413#103—831no—
1414#103—831no—
1415#103—831no—
1416#103—831no—
1417#103—831no—
1418#103—831no—
1419#103—831no—
1420#103—831no—
1421#103—831no—
1422#103—831no—
1423#102—831no—
1424#102—831no—
1425#102—831no—
1426#102—831no—
1427#102—831no—
1428#102—831no—
1429#102—831no—
1430#102—831no—
1431#102—831no—
1432#102—831no—
1433#102—831no—
1434#102—831no—
1435#102—831no—
1436#102—831no—
1437#102—831no—
1438#102—831no—
1439#102—831no—
1440#102—831no—
1441C22⋊C8—831no—
1442C22⋊C8—831no—
1443C22⋊C8—831no—
1444C22⋊C8—831no—
1445C22⋊C8—831no—
1446C22⋊C8—831no—
1447C22⋊C8—831no—
1448C22⋊C8—831no—
1449C22⋊C8—831no—
1450C22⋊C8—831no—
1451C22⋊C8—831no—
1452C22⋊C8—831no—
1453#97—831no—
1454#97—831no—
1455#97—831no—
1456#97—831no—
1457C24—21no—
1458C24—21no—
1459C24—1661no—
1460C24—1661no—
1461C24C2×C22⋊D8311yescharacteristic
1462C24C2×C22⋊D8311yescharacteristic
1463#41—22no—
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—22no—
1468#41—22no—
1469#41—41no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—44no—
1478#41—44no—
1479#41—44no—
1480#41—44no—
1481#41—3321no—
1482#41—3321no—
1483#41—3321no—
1484#41—3321no—
1485#41—6642no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—22no—
1489C2×Q8—22no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—831no—
1493C2×Q8—1661no—
1494C2×Q8C23×D8311yescharacteristic
1495C2×Q8C23×D8311yescharacteristic
1496C2×Q8C23×D8311yescharacteristic
1497C2×D4—21no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—42no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—3321no—
1521C2×D4—3321no—
1522C2×D4—3321no—
1523C2×D4—3321no—
1524C2×D4—3324no—
1525C2×D4—831no—
1526C2×D4—831no—
1527C2×D4—831no—
1528C2×D4—6642no—
1529C2×D4—6642no—
1530C2×D4—1661no—
1531C2×D4—1661no—
1532C2×D4—1661no—
1533C2×D4—1661no—
1534C2×D4—1661no—
1535C2×D4—1661no—
1536C2×D4—1661no—
1537C2×D4—1661no—
1538C2×D4—1661no—
1539C2×D4—1661no—
1540C2×D4—1661no—
1541C2×D4—1661no—
1542C2×D4—1661no—
1543C2×D4—1661no—
1544C2×D4—1661no—
1545C2×D4C2×C22⋊D8311yescharacteristic
1546C2×D4C2×C22⋊D8311yescharacteristic
1547C2×D4C2×C22⋊D8311yescharacteristic
1548C2×D4C2×C22⋊D8311yescharacteristic
1549C2×D4C23×D8311yescharacteristic
1550C2×D4C23×D8311yescharacteristic
1551C2×D4C23×D8311yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—44no—
1568C22×C4—44no—
1569C22×C4—1661no—
1570C22×C4—1661no—
1571C22×C4—1661no—
1572C22×C4—1661no—
1573C22×C4—1661no—
1574C22×C4—1661no—
1575C22×C4—1661no—
1576C22×C4C2×C22⋊D8311yescharacteristic
1577C22×C4C2×C22⋊D8311yescharacteristic
1578C22×C4C2×C22⋊D8311yescharacteristic
1579C22×C4C2×C22⋊D8311yescharacteristic
1580C22×C4C2×C22⋊D8311yescharacteristic
1581C22×C4C2×C22⋊D8311yescharacteristic
1582C22×C4C2×C22⋊D8311yescharacteristic
1583C22×C4C2×C22⋊D8311yescharacteristic
1584C22×C4C23×D8311yescharacteristic
1585C22×C4C23×D8311yescharacteristic
1586C22×C4C23×D8311yescharacteristic
1587C22×C4C23×D8311yescharacteristic
1588C22×C4C23×D8311yescharacteristic
1589Q16—3321no—
1590Q16—3321no—
1591Q16—1662no—
1592SD16—3321no—
1593SD16—3321no—
1594SD16—3321no—
1595SD16—3321no—
1596SD16—3321no—
1597SD16—3321no—
1598SD16—3321no—
1599SD16—3321no—
1600SD16—1662no—
1601SD16—1662no—
1602SD16—1662no—
1603SD16—1662no—
1604D8—3321no—
1605D8—3321no—
1606D8—3321no—
1607D8—3321no—
1608D8—3321no—
1609D8—3321no—
1610D8—1662no—
1611D8—1662no—
1612D8—1662no—
1613M16—3321no—
1614M16—3321no—
1615M16—3321no—
1616M16—3321no—
1617C2×C8—3321no—
1618C2×C8—3321no—
1619C2×C8—3321no—
1620C2×C8—3321no—
1621C2×C8—831no—
1622C2×C8—831no—
1623C2×C8—831no—
1624C2×C8—831no—
1625C2×C8—831no—
1626C2×C8—831no—
1627C2×C8—831no—
1628C2×C8—831no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—831no—
1638C4⋊C4—831no—
1639C4⋊C4—831no—
1640C4⋊C4—831no—
1641C4⋊C4—1661no—
1642C4⋊C4—1661no—
1643C4⋊C4—1661no—
1644C4⋊C4—1661no—
1645C4⋊C4—1661no—
1646C4⋊C4—1661no—
1647C4⋊C4—1661no—
1648C4⋊C4—1661no—
1649C4⋊C4—1661no—
1650C4⋊C4C2×C22⋊D8311yescharacteristic
1651C4⋊C4C2×C22⋊D8311yescharacteristic
1652C4⋊C4C2×C22⋊D8311yescharacteristic
1653C4⋊C4C2×C22⋊D8311yescharacteristic
1654C4⋊C4C23×D8311yescharacteristic
1655C4⋊C4C23×D8311yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—1661no—
1672C22⋊C4—1661no—
1673C22⋊C4—1661no—
1674C22⋊C4—1661no—
1675C22⋊C4—1661no—
1676C22⋊C4—1661no—
1677C22⋊C4—1661no—
1678C22⋊C4—1661no—
1679C22⋊C4—1661no—
1680C22⋊C4—1661no—
1681C22⋊C4—1661no—
1682C22⋊C4—1661no—
1683C22⋊C4—1661no—
1684C22⋊C4—1661no—
1685C22⋊C4—1661no—
1686C22⋊C4—1661no—
1687C22⋊C4—1661no—
1688C22⋊C4—1661no—
1689C22⋊C4—1661no—
1690C22⋊C4C2×C22⋊D8311yescharacteristic
1691C22⋊C4C2×C22⋊D8311yescharacteristic
1692C22⋊C4C2×C22⋊D8311yescharacteristic
1693C22⋊C4C2×C22⋊D8311yescharacteristic
1694C22⋊C4C2×C22⋊D8311yescharacteristic
1695C22⋊C4C2×C22⋊D8311yescharacteristic
1696C22⋊C4C2×C22⋊D8311yescharacteristic
1697C22⋊C4C2×C22⋊D8311yescharacteristic
1698C42—21no—
1699C42—21no—
1700C42—21no—
1701C42—1661no—
1702C42—1661no—
1703C42—1661no—
1704C42C2×C22⋊D8311yescharacteristic
1705C42C2×C22⋊D8311yescharacteristic
1706C42C23×D8311yescharacteristic
1707C42C23×D8311yescharacteristic
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—42no—
1718C23—42no—
1719C23—42no—
1720C23—42no—
1721C23—81no—
1722C23—81no—
1723C23—3322no—
1724C23—3322no—
1725C23—6641no—
1726C23—6641no—
1727C23—6641no—
1728C23—6641no—
1729C23—1661no—
1730C23—1661no—
1731C23—1661no—
1732C23C22×C22⋊D8311yescharacteristic
1733C23C22×C22⋊D8311yescharacteristic
1734C23C22×C22⋊D8311yescharacteristic
1735C23C22×C22⋊D8311yescharacteristic
1736C23C22×C22⋊D8311yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—42no—
1743Q8—42no—
1744Q8—6641no—
1745Q8—1661no—
1746Q8—1661no—
1747Q8#1458183712yes—
1748D4—24no—
1749D4—22no—
1750D4—22no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—41no—
1757D4—41no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—3322no—
1773D4—3322no—
1774D4—3322no—
1775D4—3322no—
1776D4—3322no—
1777D4—3322no—
1778D4—6641no—
1779D4—6641no—
1780D4—6641no—
1781D4—6641no—
1782D4—6641no—
1783D4—6641no—
1784D4—6641no—
1785D4—6641no—
1786D4—6641no—
1787D4—1661no—
1788D4—1661no—
1789D4—1661no—
1790D4—1661no—
1791D4—1661no—
1792D4—1661no—
1793D4#1458183712yes—
1794C2×C4—24no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—42no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—42no—
1822C2×C4—42no—
1823C2×C4—42no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—81no—
1828C2×C4—3322no—
1829C2×C4—6641no—
1830C2×C4—6641no—
1831C2×C4—6641no—
1832C2×C4—6641no—
1833C2×C4—6641no—
1834C2×C4—6641no—
1835C2×C4—1661no—
1836C2×C4—1661no—
1837C2×C4—1661no—
1838C2×C4—1661no—
1839C2×C4—1661no—
1840C2×C4C22×C22⋊D8311yescharacteristic
1841C2×C4C22×C22⋊D8311yescharacteristic
1842C2×C4C22×C22⋊D8311yescharacteristic
1843C2×C4C22×C22⋊D8311yescharacteristic
1844C2×C4C22×C22⋊D8311yescharacteristic
1845C2×C4C22×C22⋊D8311yescharacteristic
1846C2×C4C22×C22⋊D8311yescharacteristic
1847C2×C4C22×C22⋊D8311yescharacteristic
1848C2×C4C22×C22⋊D8311yescharacteristic
1849C2×C4C24×D8311yescharacteristic
1850C8—1661no—
1851C8—1661no—
1852C8—1661no—
1853C8—1661no—
1854C8—1661no—
1855C8—1661no—
1856C8—1661no—
1857C8—1661no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—22no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—82no—
1882C22—84no—
1883C22—82no—
1884C22—84no—
1885C22—13282no—
1886C22—13282no—
1887C22—3321no—
1888C22—3321no—
1889C22—3321no—
1890C22—3321no—
1891C22—3321no—
1892C22—3321no—
1893C22—3321no—
1894C22—3321no—
1895C22—3321no—
1896C22#1912849912yes—
1897C22C23×C22⋊D8311yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—21no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—3321no—
1913C4—3321no—
1914C4—3321no—
1915C4—3321no—
1916C4—3321no—
1917C4C2×#1458183711yescharacteristic
1918C4C2×#1458183711yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—41no—
1924C2—42no—
1925C2—81no—
1926C2—81no—
1927C2—6641no—
1928C2—6641no—
1929C2—6641no—
1930C2#2492109811yescharacteristic
1931C2C2×#1912849911yescharacteristic
1932C2#2492224211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingD4×#41×C83C2
socleC22×C83C23×D4
hypercenterD4×#41D83
hypocenterC83#61579
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #24921495C2semidirect
2. #24919649C2semidirect
3. #24919634C2semidirect
4. #24919619C2semidirect
5. #24919604C2semidirect
6. #24919574C2semidirect
7. #24919544C2semidirect
8. #24919469C2semidirect
9. #24919439C2semidirect
10. #24919049C2semidirect
11. #24919004C2semidirect
12. #24918999C2semidirect
13. #24918989C2semidirect
14. #24918974C2semidirect
15. #24918959C2semidirect
16. #24918944C2semidirect
17. #24918939C2semidirect
18. #24918500C2semidirect
19. #24918458C2semidirect
20. #24918300C2semidirect
21. #24918273C2semidirect
22. #24918251C2semidirect
23. #24918224C2semidirect
24. #24917614C2semidirect
25. #24917572C2semidirect
26. #24916715C2semidirect
27. #24916705C2semidirect
28. #24916681C2semidirect
29. C2×#19127846C2semidirect
30. #24916492C2semidirect
31. D4×#41×C83C2semidirect
32. C2×#14581823C22semidirect
33. C2×#14581818C22semidirect
34. C2×#14581817C22semidirect
35. C2×#14581817C22semidirect
36. C2×#14581812C22semidirect
37. C2×#14581812C22semidirect
38. C22×#13050577C22semidirect
39. C22×#13050575C22semidirect
40. #19128416C22semidirect
41. #19128408C22semidirect
44. #19128397C22semidirect
45. #19128372C22semidirect
47. #19128347C22semidirect
50. D4×D332C22semidirect
55. #19128251C22semidirect
56. #19128235C22semidirect
57. #19128212C22semidirect
58. #19128212C22semidirect
59. C2×#14581766C22semidirect
60. C2×#14581766C22semidirect
62. #19128093C22semidirect
63. #19128091C22semidirect
64. #19128091C22semidirect
65. #19128088C22semidirect
66. #19128069C22semidirect
67. #19128065C22semidirect
68. #19128060C22semidirect
69. #19128060C22semidirect
70. #19128042C22semidirect
71. #19128039C22semidirect
72. #19128039C22semidirect
73. #19128034C22semidirect
74. #19128029C22semidirect
75. #19128025C22semidirect
76. #19128025C22semidirect
77. #19128025C22semidirect
78. #19128022C22semidirect
79. #19128022C22semidirect
80. #19128017C22semidirect
81. #19128012C22semidirect
82. #19128008C22semidirect
83. #19128001C22semidirect
84. #19127986C22semidirect
85. #19127981C22semidirect
86. #19127957C22semidirect
87. #19127952C22semidirect
88. #19127952C22semidirect
89. #19127952C22semidirect
90. #19127949C22semidirect
91. #19127949C22semidirect
92. #19127949C22semidirect
93. #19127945C22semidirect
94. #19127940C22semidirect
95. #19127935C22semidirect
96. #19127935C22semidirect
97. #19127935C22semidirect
98. #19127932C22semidirect
99. #19127932C22semidirect
100. #19127932C22semidirect
101. #19127928C22semidirect
102. #19127923C22semidirect
103. #19127920C22semidirect
104. #19127920C22semidirect
105. #19127916C22semidirect
106. #19127913C22semidirect
107. #19127913C22semidirect
108. #19127903C22semidirect
109. #19127903C22semidirect
110. #19127901C22semidirect
111. #19127896C22semidirect
112. #19127893C22semidirect
113. #19127893C22semidirect
114. #19127863C22semidirect
115. #19127863C22semidirect
116. #19127863C22semidirect
117. #19127863C22semidirect
118. #19127863C22semidirect
119. #19127861C22semidirect
120. #19127861C22semidirect
121. #19127857C22semidirect
122. #19127852C22semidirect
123. #19127851C22semidirect
124. #19127851C22semidirect
126. #19127846C22semidirect
127. #19127846C22semidirect
128. #19127846C22semidirect
129. #19127846C22semidirect
130. #19127846C22semidirect
131. #19127846C22semidirect
132. #19127846C22semidirect
133. #19127846C22semidirect
134. #19127846C22semidirect
135. #19127846C22semidirect
136. #19127846C22semidirect
137. #19127846C22semidirect
138. #19127846C22semidirect
139. #19127846C22semidirect
140. #19127844C22semidirect
141. #19127844C22semidirect
142. #19127840C22semidirect
143. #19127840C22semidirect
144. #19127840C22semidirect
145. #19127835C22semidirect
146. #19127835C22semidirect
147. #19127835C22semidirect
148. #19127834C22semidirect
149. #19127834C22semidirect
150. #19127811C22semidirect
151. #19127811C22semidirect
152. #19127811C22semidirect
153. #19127806C22semidirect
154. #19127801C22semidirect
155. #19127799C22semidirect
156. #19127799C22semidirect
157. #19127799C22semidirect
158. #19127773C22semidirect
159. #19127773C22semidirect
160. #19127773C22semidirect
161. #19127773C22semidirect
162. #19127773C22semidirect
163. #19127773C22semidirect
164. #19127773C22semidirect
165. #19127773C22semidirect
166. #19127758C22semidirect
167. #19127758C22semidirect
168. #19127710C22semidirect
169. #19127706C22semidirect
170. #19127702C22semidirect
171. #19127702C22semidirect
172. #19127697C22semidirect
173. #19127697C22semidirect
174. C2×#14581716C22semidirect
175. C2×#14581713C22semidirect
176. #19127665C22semidirect
177. #19127665C22semidirect
178. C2×C22⋊(C83⋊C8)C22semidirect
179. C2×C22⋊(C83⋊C8)C22semidirect
180. C22×#41×C83C22semidirect
181. C22×#41×C83C22semidirect
182. #550×C83C22semidirect
183. D4×Q8×C83C22semidirect
185. #548×C83C22semidirect
187. #547×C83C22semidirect
191. #546×C83C22semidirect
193. D42×C83C22semidirect
195. #532×C83C22semidirect
198. #525×C83C22semidirect
199. #525×C83C22semidirect
200. C4×#41×C83C22semidirect
968. D4×#41D83semidirect
998. C83#61579semidirect
999. C22×#41C2×D83semidirect
1000. C22×#41C2×D83semidirect
1015. #550C2×D83semidirect
1016. D4×Q8C2×D83semidirect
1018. #548C2×D83semidirect
1020. #547C2×D83semidirect
1028. #546C2×D83semidirect
1032. D42C2×D83semidirect
1038. #532C2×D83semidirect
1044. #525C2×D83semidirect
1045. #525C2×D83semidirect
1049. C4×#41C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249214952
#249196492
#249196342
#249196192
#249196042
#249195742
#249195442
#249194692
#249194392
#249190492
#249190042
#249189992
#249189892
#249189742
#249189592
#249189442
#249189392
#249185002
#249184582
#249183002
#249182732
#249182512
#249182242
#249176142
#249175722
#249167152
#249167052
#249166812
C2×#191278462
#249164922
D4×#41×C832
#6157983