Finite Group Databasebeta

← #36279734

Subgroups — #36279734

Order 21248.

2870 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128508C211yesmaximal, characteristic, complemented
2C22×SD16×D83C211yesmaximal, characteristic, complemented
3#24921109C211yesmaximal, characteristic, complemented
4#24921093C211yesmaximal, characteristic, complemented
5#24919169C211yesmaximal, characteristic, complemented
6#24919167C211yesmaximal, characteristic, complemented
7#24919164C211yesmaximal, characteristic, complemented
8D4×#13050579C211yesmaximal, characteristic, complemented
9SD16×D332C211yesmaximal, characteristic, complemented
10#24919156C211yesmaximal, characteristic, complemented
11SD16×C22⋊D83C211yesmaximal, characteristic, complemented
12#24918971C211yesmaximal, characteristic, complemented
13#24918969C211yesmaximal, characteristic, complemented
14#24918968C211yesmaximal, characteristic, complemented
15#24918966C211yesmaximal, characteristic, complemented
16#24918964C211yesmaximal, characteristic, complemented
17#24918962C211yesmaximal, characteristic, complemented
18#24918961C211yesmaximal, characteristic, complemented
19#24918959C211yesmaximal, characteristic, complemented
20#24917934C211yesmaximal, characteristic, complemented
21#24917097C211yesmaximal, characteristic, complemented
22#24917039C211yesmaximal, characteristic, complemented
23#24916982C211yesmaximal, characteristic, complemented
24#24916973C211yesmaximal, characteristic, complemented
25#24916746C211yesmaximal, characteristic, complemented
26#24916737C211yesmaximal, characteristic, complemented
27#24916698C211yesmaximal, characteristic, complemented
28#24916687C211yesmaximal, characteristic, complemented
29#24916317C211yesmaximal, characteristic, complemented
30#24916152C211yesmaximal, characteristic, complemented
31C83×#3282C211yesmaximal, characteristic, complemented
32C2×#14581839C2211yescharacteristic, complemented
33C2×#14581838C2211yescharacteristic
34C22×Q8×D83C2211yescharacteristic, complemented
35C22×D4×D83C2211yescharacteristic
36#19128508—28no—
37C2×#14581824C2211yescharacteristic, complemented
38C2×#14581824C2211yescharacteristic, complemented
39C2×#14581824C2211yescharacteristic, complemented
40C2×#14581822C2211yescharacteristic, complemented
41C2×#14581817C2211yescharacteristic, complemented
42C2×#14581816C2211yescharacteristic
43C2×#14581816C2211yescharacteristic, complemented
44C2×#14581816C2211yescharacteristic, complemented
45C2×#14581813C2211yescharacteristic, complemented
46C2×#14581813C2211yescharacteristic, complemented
47C22×#13050579C2211yescharacteristic, complemented
48C22×#13050579C2211yescharacteristic, complemented
49C22×#13050578C2211yescharacteristic, complemented
50C22×#13050577C2211yescharacteristic, complemented
51C2×SD16×D83—28no—
52C2×SD16×D83C2211yescharacteristic
53C2×SD16×D83C2211yescharacteristic
54C2×SD16×D83C2211yescharacteristic, complemented
55C2×SD16×D83C2211yescharacteristic, complemented
56C2×SD16×D83C2211yescharacteristic, complemented
57C2×SD16×D83C2211yescharacteristic, complemented
58C2×SD16×D83C2211yescharacteristic, complemented
59C2×SD16×D83C2211yescharacteristic, complemented
60C2×SD16×D83C2211yescharacteristic, complemented
61C2×#14581798C2211yescharacteristic, complemented
62C22×C8×D83C2211yescharacteristic, complemented
63Q8×D332C2211yescharacteristic, complemented
64D4×Dic166—21no—
65D4×Dic166C2211yescharacteristic, complemented
66Q8×C22⋊D83C2211yescharacteristic, complemented
67#19128364—21no—
68#19128364C2211yescharacteristic, complemented
69#19128359—21no—
70#19128359C2211yescharacteristic, complemented
71#19128358C2211yescharacteristic, complemented
72#19128357—21no—
73#19128357C2211yescharacteristic, complemented
74#19128344C2211yescharacteristic
75#19128343—21no—
76#19128342C2211yescharacteristic
77#19128341—21no—
78#19128339C2211yescharacteristic
79D4×D332C2211yescharacteristic
80D4×D332C2211yescharacteristic
81#19128335—21no—
82#19128335C2211yescharacteristic
83D4×C22⋊D83C2211yescharacteristic
84#19128333—21no—
85#19128274—21no—
86#19128274C2211yescharacteristic, complemented
87#19128271—21no—
88#19128271C2211yescharacteristic, complemented
89#19128269C2211yescharacteristic
90#19128267C2211yescharacteristic
91#19128262—21no—
92#19128259—21no—
93#19128214C2211yescharacteristic
94#19128211—21no—
95#19128211C2211yescharacteristic, complemented
96#19128210—21no—
97#19128210C2211yescharacteristic
98C2×#14581762—21no—
99#120×D83—21no—
100#19128177C2211yescharacteristic, complemented
101#19128173C2211yescharacteristic
102#19128096C2211yescharacteristic, complemented
103#19128094C2211yescharacteristic, complemented
104#19128091C2211yescharacteristic, complemented
105#19128089C2211yescharacteristic, complemented
106#19128082C2211yescharacteristic, complemented
107#19128074C2211yescharacteristic, complemented
108#19128072C2211yescharacteristic, complemented
109#19127950C2211yescharacteristic, complemented
110#19127949C2211yescharacteristic, complemented
111#19127946C2211yescharacteristic, complemented
112#19127945C2211yescharacteristic, complemented
113#19127941C2211yescharacteristic, complemented
114#19127940C2211yescharacteristic, complemented
115#19127936C2211yescharacteristic, complemented
116#19127935C2211yescharacteristic, complemented
117#19127931C2211yescharacteristic, complemented
118#19127931C2211yescharacteristic, complemented
119#19127930C2211yescharacteristic, complemented
120#19127930C2211yescharacteristic, complemented
121#19127927C2211yescharacteristic, complemented
122#19127927C2211yescharacteristic, complemented
123#19127926C2211yescharacteristic, complemented
124#19127925C2211yescharacteristic, complemented
125#19127920C2211yescharacteristic, complemented
126#19127915C2211yescharacteristic, complemented
127#19127914C2211yescharacteristic, complemented
128#19127913C2211yescharacteristic, complemented
129#19127907C2211yescharacteristic, complemented
130#19127906C2211yescharacteristic, complemented
131#19127905C2211yescharacteristic, complemented
132#19127904C2211yescharacteristic, complemented
133#19127902C2211yescharacteristic, complemented
134#19127901C2211yescharacteristic, complemented
135#19127900C2211yescharacteristic, complemented
136#19127899C2211yescharacteristic, complemented
137#19127866C2211yescharacteristic, complemented
138#19127863C2211yescharacteristic, complemented
139#19127862C2211yescharacteristic, complemented
140#19127856C2211yescharacteristic, complemented
141#19127855C2211yescharacteristic, complemented
142#19127855C2211yescharacteristic, complemented
143#19127854C2211yescharacteristic, complemented
144#19127854C2211yescharacteristic, complemented
145#19127853C2211yescharacteristic, complemented
146#19127853C2211yescharacteristic, complemented
147#19127853C2211yescharacteristic, complemented
148#19127852C2211yescharacteristic, complemented
149#19127851C2211yescharacteristic, complemented
150#19127850C2211yescharacteristic, complemented
151#19127847C2211yescharacteristic, complemented
152#19127846C2211yescharacteristic, complemented
153#19127843C2211yescharacteristic, complemented
154#19127842C2211yescharacteristic, complemented
155#19127842C2211yescharacteristic, complemented
156#19127841C2211yescharacteristic, complemented
157#19127841C2211yescharacteristic, complemented
158#19127841C2211yescharacteristic, complemented
159#19127840C2211yescharacteristic, complemented
160#19127839C2211yescharacteristic, complemented
161#19127838C2211yescharacteristic, complemented
162#19127834C2211yescharacteristic, complemented
163#19127833C2211yescharacteristic, complemented
164#19127833C2211yescharacteristic, complemented
165#19127804C2211yescharacteristic, complemented
166#19127801C2211yescharacteristic, complemented
167#19127799C2211yescharacteristic, complemented
168#19127798C2211yescharacteristic, complemented
169C4×#13050579C2211yescharacteristic, complemented
170SD16×Dic83C2211yescharacteristic, complemented
171#19127788C2211yescharacteristic, complemented
172#19127775C2211yescharacteristic, complemented
173#19127773C2211yescharacteristic, complemented
174#19127771C2211yescharacteristic, complemented
175#19127769C2211yescharacteristic, complemented
176C8×D332C2211yescharacteristic, complemented
177C8×C22⋊D83C2211yescharacteristic, complemented
178C8×C22⋊D83C2211yescharacteristic, complemented
179#19127736C2211yescharacteristic, complemented
180#19127726C2211yescharacteristic, complemented
181#19127708C2211yescharacteristic, complemented
182#19127708C2211yescharacteristic, complemented
183#19127704C2211yescharacteristic
184#19127704C2211yescharacteristic, complemented
185#19127696C2211yescharacteristic, complemented
186#19127694C2211yescharacteristic, complemented
187#19127666C2211yescharacteristic, complemented
188#19127663C2211yescharacteristic, complemented
189#19127655C2211yescharacteristic, complemented
190C2×#135×C83C2211yescharacteristic, complemented
191C22×SD16×C83C2211yescharacteristic, complemented
192#548×C83C2211yescharacteristic, complemented
193#546×C83C2211yescharacteristic
194#495×C83C2211yescharacteristic, complemented
195#465×C83C2211yescharacteristic, complemented
196#465×C83C2211yescharacteristic, complemented
197#464×C83C2211yescharacteristic, complemented
198#463×C83C2211yescharacteristic, complemented
199#452×C83C2211yescharacteristic, complemented
200#451×C83C2211yescharacteristic, complemented
201#449×C83C2211yescharacteristic, complemented
202#447×C83C2211yescharacteristic, complemented
203C4×SD16×C83C2211yescharacteristic, complemented
204C8×D4×C83C2211yescharacteristic, complemented
205C24×D83—21no—
206#14581839—24no—
207#14581839—42no—
208#14581838—24no—
209#14581838—42no—
210C2×#13050591C2311yescharacteristic
211C2×#13050591C2311yescharacteristic
212C2×#13050590—21no—
213C2×#13050590—21no—
214C2×#13050590C2311yescharacteristic
215C2×#13050589—21no—
216C2×#13050589—21no—
217C2×#13050589C2311yescharacteristic
218C2×#13050589C2311yescharacteristic, complemented
219C22×Dic166—21no—
220C22×Dic166—21no—
221C22×Dic166C2311yescharacteristic
222C22×Dic166C2311yescharacteristic, complemented
223C2×Q8×D83—21no—
224C2×Q8×D83—21no—
225C2×Q8×D83—24no—
226C2×Q8×D83—42no—
227C2×Q8×D83C2311yescharacteristic
228C2×Q8×D83C2311yescharacteristic
229C2×Q8×D83C2311yescharacteristic
230C2×Q8×D83C2311yescharacteristic
231C2×Q8×D83C2311yescharacteristic, complemented
232C22×D332—21no—
233C22×D332—21no—
234C22×D332C2311yescharacteristic
235C22×D332C2311yescharacteristic
236C22×C22⋊D83—21no—
237C22×C22⋊D83—21no—
238C2×D4×D83—24no—
239C2×D4×D83—21no—
240C2×D4×D83—21no—
241C2×D4×D83—21no—
242C2×D4×D83—21no—
243C2×D4×D83—21no—
244C2×D4×D83—21no—
245C2×D4×D83—42no—
246C2×D4×D83C2311yescharacteristic
247C2×D4×D83C2311yescharacteristic
248C2×D4×D83C2311yescharacteristic
249C2×D4×D83C2311yescharacteristic
250C2×D4×D83C2311yescharacteristic
251C22×C4×D83—21no—
252C22×C4×D83C2311yescharacteristic
253#14581824—24no—
254#14581824—24no—
255#14581824—42no—
256#14581822—24no—
257#14581817—24no—
258#14581816—24no—
259#14581816—24no—
260#14581816—42no—
261#14581813—24no—
262#14581813—24no—
263C2×#13050580C2311yescharacteristic, complemented
264C2×#13050580C2311yescharacteristic, complemented
265C2×#13050580C2311yescharacteristic, complemented
266C2×#13050579—24no—
267C2×#13050579—24no—
268C2×#13050579C2311yescharacteristic
269C2×#13050579C2311yescharacteristic
270C2×#13050579C2311yescharacteristic
271C2×#13050579C2311yescharacteristic
272C2×#13050579C2311yescharacteristic
273C2×#13050579C2311yescharacteristic
274C2×#13050579C2311yescharacteristic, complemented
275C2×#13050579C2311yescharacteristic, complemented
276C2×#13050579C2311yescharacteristic, complemented
277C2×#13050578—24no—
278C2×#13050578C2311yescharacteristic
279C2×#13050578C2311yescharacteristic
280C2×#13050578C2311yescharacteristic
281C2×#13050578C2311yescharacteristic
282C2×#13050578C2311yescharacteristic
283C2×#13050578C2311yescharacteristic
284C2×#13050577—24no—
285C2×#13050577C2311yescharacteristic
286C2×#13050577C2311yescharacteristic
287C2×#13050577C2311yescharacteristic
288C2×#13050577C2311yescharacteristic
289C2×#13050577C2311yescharacteristic, complemented
290C2×#13050577C2311yescharacteristic, complemented
291SD16×D83—24no—
292SD16×D83—24no—
293SD16×D83—24no—
294SD16×D83—24no—
295SD16×D83—24no—
296SD16×D83—24no—
297SD16×D83—24no—
298SD16×D83—24no—
299SD16×D83D418yescomplemented
300C2×#13050575C2311yescharacteristic
301C2×#13050575C2311yescharacteristic
302C2×#13050575C2311yescharacteristic, complemented
303#14581798—24no—
304C2×#13050574C2311yescharacteristic, complemented
305C2×#13050573C2311yescharacteristic
306C2×#13050573C2311yescharacteristic
307C2×#13050573C2311yescharacteristic, complemented
308C22×C83⋊C8C2311yescharacteristic
309C2×C8×D83—24no—
310C2×C8×D83C2311yescharacteristic
311C2×C8×D83C2311yescharacteristic
312C2×C8×D83C2311yescharacteristic
313C2×C8×D83C2311yescharacteristic
314C2×C8×D83C2311yescharacteristic, complemented
315#14581792—21no—
316#14581792C2311yescharacteristic, complemented
317#14581791—21no—
318#14581791—21no—
319#14581791—21no—
320#14581790—21no—
321#14581790C2311yescharacteristic, complemented
322#14581789C2311yescharacteristic
323#14581788—21no—
324#14581788C2311yescharacteristic
325#14581781C2311yescharacteristic
326#14581779—21no—
327#14581779C2311yescharacteristic, complemented
328#14581778—21no—
329#14581778—21no—
330#14581778—21no—
331#14581778—21no—
332#14581777—21no—
333#14581777—21no—
334#14581777—21no—
335#14581777D411yescharacteristic
336#14581775—21no—
337#14581774—21no—
338#14581774—21no—
339#14581774—21no—
340#14581774—21no—
341#14581774—21no—
342#14581774D411yescharacteristic
343#14581772—21no—
344#14581772—21no—
345#14581772C2311yescharacteristic
346#14581772C2311yescharacteristic, complemented
347#14581771—21no—
348#14581771—21no—
349#14581771C2311yescharacteristic
350#14581771C2311yescharacteristic, complemented
351#14581770—21no—
352#14581770D411yescharacteristic
353#14581769—21no—
354#14581769—21no—
355#14581769—21no—
356#14581769—21no—
357#14581769—21no—
358#14581769—21no—
359#14581769—21no—
360#14581769D411yescharacteristic
361#14581768—21no—
362#14581768C2311yescharacteristic
363#14581768C2311yescharacteristic, complemented
364#14581767—21no—
365#14581767—21no—
366#14581767C2311yescharacteristic
367#14581767C2311yescharacteristic
368#14581766—21no—
369#14581766C2311yescharacteristic
370#14581766C2311yescharacteristic
371#14581765—21no—
372#14581765—21no—
373#14581765—21no—
374#14581765—21no—
375#14581765—21no—
376#14581765D411yescharacteristic
377#14581764—21no—
378#14581764—21no—
379#14581764—21no—
380#14581764D411yescharacteristic
381#14581763—21no—
382#14581763C2311yescharacteristic
383#14581763C2311yescharacteristic
384#14581762—21no—
385#14581762—21no—
386#14581762—21no—
387#14581762—21no—
388#14581762—21no—
389#14581762—21no—
390#14581762—21no—
391#14581762—21no—
392#14581762—21no—
393#14581762—21no—
394#14581762—21no—
395#14581762D411yescharacteristic
396#14581761—21no—
397#14581760—21no—
398#14581760—21no—
399#14581760—21no—
400#14581760—21no—
401#14581760—21no—
402#14581760D411yescharacteristic
403Q8×Dic83C2311yescharacteristic, complemented
404C4×Dic166—21no—
405C4×Dic166C2311yescharacteristic, complemented
406#14581757—21no—
407#14581757C2311yescharacteristic, complemented
408C4×D332—21no—
409C4×D332C2311yescharacteristic
410C4×D332C2311yescharacteristic
411D4×Dic83—21no—
412D4×Dic83—21no—
413D4×Dic83—21no—
414D4×Dic83C2311yescharacteristic
415#14581754—21no—
416#14581754C2311yescharacteristic
417C4×C22⋊D83—21no—
418C4×C22⋊D83—21no—
419C4×C22⋊D83—21no—
420C4×C22⋊D83C2311yescharacteristic
421C4×C22⋊D83C2311yescharacteristic
422(C22⋊D83)⋊C4—21no—
423(C22⋊D83)⋊C4—21no—
424(C22⋊D83)⋊C4—21no—
425(C22⋊D83)⋊C4—21no—
426(C22⋊D83)⋊C4—21no—
427#14581750—21no—
428#14581750C2311yescharacteristic
429#14581750C2311yescharacteristic
430#14581749—21no—
431#14581749C2311yescharacteristic
432C2×(C2×D83)⋊C4—21no—
433C2×(C2×D83)⋊C4—21no—
434C22⋊C4×D83—21no—
435C22⋊C4×D83—21no—
436C22⋊C4×D83—21no—
437#14581725C2311yescharacteristic, complemented
438#14581725C2311yescharacteristic, complemented
439#14581724C2311yescharacteristic, complemented
440C4⋊(C83⋊C8)C2311yescharacteristic, complemented
441Dic83⋊C8C2311yescharacteristic, complemented
442Dic83⋊C8C2311yescharacteristic, complemented
443#14581717C2311yescharacteristic, complemented
444#14581717C2311yescharacteristic, complemented
445#14581717C2311yescharacteristic, complemented
446#14581716C2311yescharacteristic, complemented
447#14581716C2311yescharacteristic, complemented
448#14581716C2311yescharacteristic, complemented
449#14581715C2311yescharacteristic, complemented
450#14581715C2311yescharacteristic, complemented
451#14581715C2311yescharacteristic, complemented
452#14581714C2311yescharacteristic
453#14581714C2311yescharacteristic
454#14581714C2311yescharacteristic, complemented
455#14581713C2311yescharacteristic
456#14581713C2311yescharacteristic
457#14581713C2311yescharacteristic, complemented
458#14581712C2311yescharacteristic
459#14581712C2311yescharacteristic
460#14581712C2311yescharacteristic, complemented
461C22⋊(C83⋊C8)C2311yescharacteristic
462C22⋊(C83⋊C8)C2311yescharacteristic, complemented
463(C2×D83)⋊C8C2311yescharacteristic
464(C2×D83)⋊C8C2311yescharacteristic
465(C2×D83)⋊C8C2311yescharacteristic, complemented
466(C2×D83)⋊C8C2311yescharacteristic, complemented
467#14581703C2311yescharacteristic, complemented
468#14581702C2311yescharacteristic, complemented
469C8×Dic83C2311yescharacteristic, complemented
470C2×#41×C83C2311yescharacteristic
471C2×#41×C83C2311yescharacteristic, complemented
472C22×Q8×C83C2311yescharacteristic
473C22×D4×C83C2311yescharacteristic
474#135×C83—24no—
475C2×Q16×C83C2311yescharacteristic, complemented
476C2×Q16×C83C2311yescharacteristic, complemented
477C2×SD16×C83—24no—
478C2×SD16×C83C2311yescharacteristic
479C2×SD16×C83C2311yescharacteristic
480C2×SD16×C83C2311yescharacteristic
481C2×SD16×C83C2311yescharacteristic
482C2×SD16×C83C2311yescharacteristic, complemented
483C2×D8×C83C2311yescharacteristic
484C2×D8×C83C2311yescharacteristic
485C22×C8×C83C2311yescharacteristic
486C22×C8×C83C2311yescharacteristic, complemented
487#124×C83—21no—
488#124×C83C2311yescharacteristic
489#124×C83C2311yescharacteristic, complemented
490#123×C83—21no—
491C22⋊Q8×C83—21no—
492C22⋊Q8×C83C2311yescharacteristic
493C22⋊Q8×C83C2311yescharacteristic, complemented
494#121×C83—21no—
495#121×C83—21no—
496#121×C83C2311yescharacteristic
497#121×C83C2311yescharacteristic
498#120×C83—21no—
499C4×Q8×C83C2311yescharacteristic, complemented
500C4×D4×C83—21no—
501C4×D4×C83C2311yescharacteristic
502C4×D4×C83C2311yescharacteristic
503C2×C22⋊C4×C83—21no—
504#106×C83C2311yescharacteristic, complemented
505C4⋊C8×C83C2311yescharacteristic, complemented
506#103×C83C2311yescharacteristic, complemented
507#103×C83C2311yescharacteristic, complemented
508#103×C83C2311yescharacteristic, complemented
509#102×C83C2311yescharacteristic
510#102×C83C2311yescharacteristic
511#102×C83C2311yescharacteristic, complemented
512C22⋊C8×C83C2311yescharacteristic
513C22⋊C8×C83C2311yescharacteristic, complemented
514C4×C8×C83C2311yescharacteristic, complemented
515C23×D83—21no—
516C23×D83—21no—
517C23×D83—21no—
518C23×D83—21no—
519C23×D83—21no—
520C23×D83—21no—
521C23×D83—21no—
522C23×D83—44no—
523C23×D83—82no—
524C23×D83—82no—
525C23×D83C2×D411yescharacteristic
526#13050591—22no—
527#13050591—22no—
528#13050591—22no—
529#13050591—41no—
530#13050590—22no—
531#13050590—22no—
532#13050590—44no—
533#13050590—44no—
534#13050589—22no—
535#13050589—22no—
536#13050589—22no—
537#13050589—41no—
538#13050589—44no—
539#13050589—44no—
540C2×Dic166—21no—
541C2×Dic166—22no—
542C2×Dic166—22no—
543C2×Dic166—21no—
544C2×Dic166—21no—
545C2×Dic166—21no—
546C2×Dic166—21no—
547C2×Dic166—21no—
548C2×Dic166—21no—
549C2×Dic166—41no—
550C2×Dic166—41no—
551C2×Dic166—44no—
552C2×Dic166—44no—
553C2×Dic166C2×D411yescharacteristic
554C2×Dic166C2411yescharacteristic
555C2×Dic166C2411yescharacteristic
556C2×Dic166C2411yescharacteristic
557Q8×D83—22no—
558Q8×D83—22no—
559Q8×D83—22no—
560Q8×D83—22no—
561Q8×D83—22no—
562Q8×D83—22no—
563Q8×D83—41no—
564Q8×D83—41no—
565Q8×D83—41no—
566Q8×D83—44no—
567Q8×D83—44no—
568Q8×D83C2×D414yescomplemented
569C2×D332—22no—
570C2×D332—22no—
571C2×D332—21no—
572C2×D332—21no—
573C2×D332—21no—
574C2×D332—21no—
575C2×D332—21no—
576C2×D332—21no—
577C2×D332—21no—
578C2×D332—21no—
579C2×D332—41no—
580C2×D332—41no—
581C2×D332—44no—
582C2×D332—82no—
583C2×D332C2×D411yescharacteristic
584C2×D332C2×D411yescharacteristic
585C2×D332C2411yescharacteristic
586C2×D332C2411yescharacteristic
587C2×D332C2411yescharacteristic
588C2×C22⋊D83—21no—
589C2×C22⋊D83—21no—
590C2×C22⋊D83—21no—
591C2×C22⋊D83—21no—
592C2×C22⋊D83—21no—
593C2×C22⋊D83—21no—
594C2×C22⋊D83—21no—
595C2×C22⋊D83—21no—
596C2×C22⋊D83—21no—
597C2×C22⋊D83—21no—
598C2×C22⋊D83—21no—
599C2×C22⋊D83—21no—
600C2×C22⋊D83—21no—
601C2×C22⋊D83—44no—
602C2×C22⋊D83—82no—
603C2×C22⋊D83C2×D411yescharacteristic
604C2×C22⋊D83C2×D411yescharacteristic
605C2×C22⋊D83C2×D411yescharacteristic
606C2×C22⋊D83C2×D411yescharacteristic
607D4×D83—22no—
608D4×D83—22no—
609D4×D83—22no—
610D4×D83—22no—
611D4×D83—22no—
612D4×D83—22no—
613D4×D83—41no—
614D4×D83—41no—
615D4×D83—41no—
616D4×D83—44no—
617D4×D83—44no—
618D4×D83—44no—
619D4×D83—44no—
620D4×D83—82no—
621D4×D83—82no—
622D4×D83C2×D414yes—
623C22×Dic83—21no—
624C22×Dic83—21no—
625C22×Dic83—21no—
626C22×Dic83—21no—
627C22×Dic83—21no—
628C22×Dic83C2×D411yescharacteristic
629C2×C4×D83—21no—
630C2×C4×D83—22no—
631C2×C4×D83—22no—
632C2×C4×D83—21no—
633C2×C4×D83—21no—
634C2×C4×D83—21no—
635C2×C4×D83—21no—
636C2×C4×D83—21no—
637C2×C4×D83—21no—
638C2×C4×D83—21no—
639C2×C4×D83—21no—
640C2×C4×D83—44no—
641C2×C4×D83C2×D411yescharacteristic
642C2×C4×D83C2×D411yescharacteristic
643C2×C4×D83C2411yescharacteristic
644C2×C4×D83C2411yescharacteristic
645C2×C4×D83C2411yescharacteristic
646#13050580—22no—
647#13050580—22no—
648#13050580—41no—
649#13050579—22no—
650#13050579—22no—
651#13050579—22no—
652#13050579—22no—
653#13050579—22no—
654#13050579—22no—
655#13050579—41no—
656#13050579—41no—
657#13050579C2×D414yescomplemented
658#13050578—22no—
659#13050578—22no—
660#13050578—22no—
661#13050578—22no—
662#13050578—41no—
663#13050578C2×D414yescomplemented
664#13050577—22no—
665#13050577—22no—
666#13050577—22no—
667#13050577—22no—
668#13050577—41no—
669#13050577C2×D414yescomplemented
670#13050575—22no—
671#13050575—22no—
672#13050575—41no—
673#13050574—22no—
674#13050573—22no—
675#13050573—22no—
676#13050573—22no—
677C2×C83⋊C8—22no—
678C2×C83⋊C8C2411yescharacteristic
679C2×C83⋊C8C2411yescharacteristic
680C2×C83⋊C8C2411yescharacteristic
681C2×C83⋊C8C2411yescharacteristic
682C8×D83—22no—
683C8×D83—22no—
684C8×D83—22no—
685C8×D83—22no—
686C8×D83C2×D414yescomplemented
687C4⋊Dic83—21no—
688C4⋊Dic83—21no—
689C4⋊Dic83—21no—
690C4⋊Dic83—21no—
691C4⋊Dic83—21no—
692C4⋊Dic83C2×D411yescharacteristic
693C4⋊Dic83C2411yescharacteristic
694C4⋊Dic83C2411yescharacteristic
695Dic83⋊C4—21no—
696Dic83⋊C4—21no—
697Dic83⋊C4—21no—
698Dic83⋊C4—21no—
699Dic83⋊C4—21no—
700Dic83⋊C4—21no—
701Dic83⋊C4—21no—
702Dic83⋊C4—21no—
703Dic83⋊C4C2×D411yescharacteristic
704Dic83⋊C4C2×D411yescharacteristic
705Dic83⋊C4C2×D411yescharacteristic
706Dic83⋊C4C2×D411yescharacteristic
707C22⋊Dic83—21no—
708C22⋊Dic83—21no—
709C22⋊Dic83—21no—
710C22⋊Dic83—21no—
711C22⋊Dic83—21no—
712C22⋊Dic83—21no—
713C22⋊Dic83—21no—
714C22⋊Dic83C2×D411yescharacteristic
715C22⋊Dic83C2×D411yescharacteristic
716(C2×D83)⋊C4—21no—
717(C2×D83)⋊C4—21no—
718(C2×D83)⋊C4—21no—
719(C2×D83)⋊C4—21no—
720(C2×D83)⋊C4—21no—
721(C2×D83)⋊C4—21no—
722(C2×D83)⋊C4—21no—
723(C2×D83)⋊C4—21no—
724(C2×D83)⋊C4—21no—
725(C2×D83)⋊C4—21no—
726(C2×D83)⋊C4—21no—
727(C2×D83)⋊C4—21no—
728(C2×D83)⋊C4—21no—
729(C2×D83)⋊C4—21no—
730(C2×D83)⋊C4C2×D411yescharacteristic
731(C2×D83)⋊C4C2×D411yescharacteristic
732(C2×D83)⋊C4C2×D411yescharacteristic
733(C2×D83)⋊C4C2×D411yescharacteristic
734(C2×D83)⋊C4C2×D411yescharacteristic
735(C2×D83)⋊C4C2×D411yescharacteristic
736C4×Dic83—21no—
737C4×Dic83—21no—
738C4×Dic83—21no—
739C4×Dic83—21no—
740C4×Dic83—21no—
741C4×Dic83C2411yescharacteristic
742C24×C83—21no—
743#41×C83—22no—
744#41×C83—22no—
745#41×C83—41no—
746#41×C83—41no—
747C2×Q8×C83—21no—
748C2×Q8×C83—22no—
749C2×Q8×C83—41no—
750C2×Q8×C83C2411yescharacteristic
751C2×Q8×C83C2411yescharacteristic
752C2×Q8×C83C2411yescharacteristic
753C2×D4×C83—22no—
754C2×D4×C83—21no—
755C2×D4×C83—21no—
756C2×D4×C83—21no—
757C2×D4×C83—21no—
758C2×D4×C83—21no—
759C2×D4×C83—41no—
760C2×D4×C83C2×D411yescharacteristic
761C2×D4×C83C2411yescharacteristic
762C2×D4×C83C2411yescharacteristic
763C2×D4×C83C2411yescharacteristic
764C22×C4×C83—21no—
765C22×C4×C83—21no—
766C22×C4×C83—21no—
767C22×C4×C83—21no—
768C22×C4×C83C2411yescharacteristic
769C22×C4×C83C2411yescharacteristic
770Q16×C83—22no—
771Q16×C83—41no—
772SD16×C83—22no—
773SD16×C83—22no—
774SD16×C83—22no—
775SD16×C83—22no—
776SD16×C83C2×D414yescomplemented
777D8×C83—22no—
778D8×C83—41no—
779C2×C8×C83—22no—
780C2×C8×C83—22no—
781C2×C8×C83C2411yescharacteristic
782C2×C8×C83C2411yescharacteristic
783C2×C8×C83C2411yescharacteristic
784C2×C8×C83C2411yescharacteristic
785C4⋊C4×C83—21no—
786C4⋊C4×C83—21no—
787C4⋊C4×C83—21no—
788C4⋊C4×C83C2×D411yescharacteristic
789C4⋊C4×C83C2411yescharacteristic
790C4⋊C4×C83C2411yescharacteristic
791C22⋊C4×C83—21no—
792C22⋊C4×C83—21no—
793C22⋊C4×C83—21no—
794C22⋊C4×C83—21no—
795C22⋊C4×C83—21no—
796C22⋊C4×C83—21no—
797C22⋊C4×C83—21no—
798C22⋊C4×C83—21no—
799C22⋊C4×C83—21no—
800C22⋊C4×C83C2×D411yescharacteristic
801C22⋊C4×C83C2×D411yescharacteristic
802C42×C83—21no—
803C42×C83C2411yescharacteristic
804C23×C83—21no—
805C23×C83—21no—
806C23×C83—21no—
807C23×C83—42no—
808C23×C83—42no—
809C23×C83—81no—
810C23×C83C22×D411yescharacteristic
811C23×C83C22×D411yescharacteristic
812C22×D83—22no—
813C22×D83—22no—
814C22×D83—22no—
815C22×D83—21no—
816C22×D83—24no—
817C22×D83—21no—
818C22×D83—21no—
819C22×D83—42no—
820C22×D83—42no—
821C22×D83—42no—
822C22×D83—42no—
823C22×D83—42no—
824C22×D83—42no—
825C22×D83—42no—
826C22×D83—42no—
827C22×D83—42no—
828C22×D83—81no—
829C22×D83—81no—
830C22×D83—81no—
831C22×D83—81no—
832C22×D83—81no—
833C22×D83—81no—
834C22×D83—81no—
835C22×D83—81no—
836C22×D83—816no—
837C22×D83—81no—
838C22×D83—81no—
839C22×D83—81no—
840C22×D83C22×D411yescharacteristic
841C22×D83C22×D411yescharacteristic
842C22×D83C22×D411yescharacteristic
843Q8×C83—21no—
844Q8×C83—21no—
845Q8×C83—21no—
846Q8×C83—21no—
847Q8×C83—21no—
848Q8×C83—42no—
849Q8×C83C22×D412yes—
850D4×C83—22no—
851D4×C83—21no—
852D4×C83—21no—
853D4×C83—21no—
854D4×C83—21no—
855D4×C83—21no—
856D4×C83—42no—
857D4×C83—42no—
858D4×C83—42no—
859D4×C83—42no—
860D4×C83—81no—
861D4×C83C22×D412yes—
862C2×C4×C83—21no—
863C2×C4×C83—21no—
864C2×C4×C83—21no—
865C2×C4×C83—21no—
866C2×C4×C83—21no—
867C2×C4×C83—21no—
868C2×C4×C83—21no—
869C2×C4×C83—21no—
870C2×C4×C83—21no—
871C2×C4×C83—42no—
872C2×C4×C83—42no—
873C2×C4×C83—42no—
874C2×C4×C83—81no—
875C2×C4×C83C22×D411yescharacteristic
876C2×C4×C83C22×D411yescharacteristic
877C2×C4×C83C22×D411yescharacteristic
878C2×C4×C83C22×D411yescharacteristic
879C2×C4×C83C2511yescharacteristic
880C22⋊D83—22no—
881C22⋊D83—22no—
882C22⋊D83—22no—
883C22⋊D83—24no—
884C22⋊D83—22no—
885C22⋊D83—42no—
886C22⋊D83—42no—
887C22⋊D83—42no—
888C22⋊D83—42no—
889C22⋊D83—42no—
890C22⋊D83—42no—
891C22⋊D83—42no—
892C22⋊D83—42no—
893C22⋊D83—81no—
894C22⋊D83—81no—
895C22⋊D83—81no—
896C22⋊D83—81no—
897C2×Dic83—21no—
898C2×Dic83—22no—
899C2×Dic83—21no—
900C2×Dic83—21no—
901C2×Dic83—21no—
902C2×Dic83—21no—
903C2×Dic83—42no—
904C2×Dic83—42no—
905C2×Dic83—42no—
906C2×Dic83—42no—
907C2×Dic83—81no—
908C2×Dic83C22×D411yescharacteristic
909C2×Dic83C22×D411yescharacteristic
910C2×Dic83C22×D411yescharacteristic
911C2×Dic83C22×D411yescharacteristic
912C2×Dic83C22×D411yescharacteristic
913D332—22no—
914D332—22no—
915D332—21no—
916D332—21no—
917D332—21no—
918D332—21no—
919D332—21no—
920D332—42no—
921D332—42no—
922D332—42no—
923D332—42no—
924D332—42no—
925D332—81no—
926D332—81no—
927D332—81no—
928D332C22×D412yes—
929C4×D83—22no—
930C4×D83—24no—
931C4×D83—21no—
932C4×D83—21no—
933C4×D83—21no—
934C4×D83—21no—
935C4×D83—22no—
936C4×D83—42no—
937C4×D83—42no—
938C4×D83—42no—
939C4×D83—42no—
940C4×D83—42no—
941C4×D83—42no—
942C4×D83—81no—
943C4×D83—81no—
944C4×D83C22×D412yes—
945C4×D83H(5,𝔽2)12yes—
946Dic166—21no—
947Dic166—24no—
948Dic166—22no—
949Dic166—21no—
950Dic166—21no—
951Dic166—21no—
952Dic166—21no—
953Dic166—42no—
954Dic166—42no—
955Dic166—42no—
956Dic166—42no—
957Dic166—42no—
958Dic166—42no—
959Dic166C22×D412yes—
960C8×C83—21no—
961C8×C83—21no—
962C8×C83—21no—
963C8×C83C22×D412yes—
964C83⋊C8—21no—
965C83⋊C8—21no—
966C83⋊C8—21no—
967C83⋊C8C22×D412yes—
968C22×C83—21no—
969C22×C83—21no—
970C22×C83—21no—
971C22×C83—22no—
972C22×C83—21no—
973C22×C83—21no—
974C22×C83—41no—
975C22×C83—41no—
976C22×C83—41no—
977C22×C83—41no—
978C22×C83—41no—
979C22×C83—41no—
980C22×C83—41no—
981C22×C83—41no—
982C22×C83—84no—
983C22×C83#57712yescomplemented
984C22×C83C23×D411yescharacteristic
985C2×D83—28no—
986C2×D83—21no—
987C2×D83—21no—
988C2×D83—21no—
989C2×D83—21no—
990C2×D83—21no—
991C2×D83—22no—
992C2×D83—21no—
993C2×D83—21no—
994C2×D83—41no—
995C2×D83—41no—
996C2×D83—41no—
997C2×D83—41no—
998C2×D83—41no—
999C2×D83—41no—
1000C2×D83—41no—
1001C2×D83—41no—
1002C2×D83—84no—
1003C2×D83—84no—
1004C2×D83—84no—
1005C2×D83—84no—
1006C2×D83—84no—
1007C2×D83—162no—
1008C2×D83—162no—
1009C2×D83D4212yes—
1010C2×D83#57712yescomplemented
1011C4×C83—22no—
1012C4×C83—21no—
1013C4×C83—21no—
1014C4×C83—21no—
1015C4×C83—21no—
1016C4×C83—41no—
1017C4×C83—41no—
1018C4×C83—41no—
1019C4×C83—41no—
1020C4×C83C23×D411yescharacteristic
1021C4×C83C2×H(5,𝔽2)11yescharacteristic
1022Dic83—22no—
1023Dic83—21no—
1024Dic83—21no—
1025Dic83—21no—
1026Dic83—21no—
1027Dic83—41no—
1028Dic83—41no—
1029Dic83—41no—
1030Dic83—41no—
1031Dic83D4212yes—
1032#61050—831nomaximal, Sylow
1033C2×C83—22no—
1034C2×C83—42no—
1035C2×C83—41no—
1036C2×C83—81no—
1037C2×C83—81no—
1038C2×C83C2×D4211yescharacteristic
1039C2×C83C2×#57711yescharacteristic
1040C2×C83C2×#57711yescharacteristic
1041D83—22no—
1042D83—22no—
1043D83—41no—
1044D83—42no—
1045D83—81no—
1046D83—81no—
1047C2×#577—831no—
1048C23×SD16—831no—
1049#3486—831no—
1050#3484—831no—
1051#3282—831no—
1052#3282—831no—
1053#3282—831no—
1054#3282D8311yescharacteristic, complemented
1055D4×SD16—831no—
1056D4×SD16—831no—
1057D4×SD16—831no—
1058D4×SD16—831no—
1059#3266—831no—
1060#3266—831no—
1061#3266—831no—
1062#3266—831no—
1063#3265—831no—
1064#3265—831no—
1065#3265—831no—
1066#3265—831no—
1067#3154—831no—
1068#3057—831no—
1069#3050—831no—
1070#3043—831no—
1071#3042—831no—
1072#3010—831no—
1073#3009—831no—
1074#3004—831no—
1075#3003—831no—
1076#2949—831no—
1077#2929—831no—
1078C83#6105011yescharacteristic, complemented, Sylow
1079C2×2−1+4—831no—
1080C2×H(5,𝔽2)—831no—
1081C23×Q8—831no—
1082C23×D4—831no—
1083#577—1668no—
1084C2×#137—831no—
1085C2×#137—831no—
1086C2×#137—831no—
1087C2×#137—831no—
1088C2×AGL(1,ℤ/8)—831no—
1089C2×AGL(1,ℤ/8)—831no—
1090C2×AGL(1,ℤ/8)—831no—
1091C2×AGL(1,ℤ/8)—831no—
1092C2×#135—831no—
1093C2×#135—831no—
1094C2×#135C2×D8311yescharacteristic, complemented
1095C22×SD16—831no—
1096C22×SD16—831no—
1097C22×SD16—831no—
1098C22×SD16—831no—
1099C22×SD16—831no—
1100C22×SD16—831no—
1101C22×SD16—831no—
1102C22×SD16—831no—
1103C22×SD16—831no—
1104C22×SD16—831no—
1105C22×SD16—831no—
1106C22×SD16—831no—
1107C22×SD16—831no—
1108C22×SD16—1668no—
1109C22×SD16C2×D8311yescharacteristic, complemented
1110C2×#131—831no—
1111C23×C8—831no—
1112D4×Q8—831no—
1113D4×Q8—831no—
1114D4×Q8—831no—
1115D4×Q8—831no—
1116D4×Q8—1661no—
1117D4×Q8—1661no—
1118#548—831no—
1119#548—831no—
1120#548—831no—
1121#548—1661no—
1122#548—1661no—
1123#548C2×D8311yescharacteristic, complemented
1124#546—831no—
1125#546—831no—
1126#546—831no—
1127#546—1661no—
1128#546—1661no—
1129#546C2×D8311yescharacteristic
1130D42—831no—
1131D42—831no—
1132D42—831no—
1133D42—831no—
1134D42—1661no—
1135D42—1661no—
1136#536—831no—
1137#536—831no—
1138#536—1661no—
1139#536—1661no—
1140#535—831no—
1141#535—831no—
1142#534—1661no—
1143#534—1661no—
1144#525—831no—
1145#525—831no—
1146#525—831no—
1147#525—1661no—
1148#525—1661no—
1149C2×#120—1661no—
1150C2×#120—1661no—
1151#519—831no—
1152#518—831no—
1153#497—831no—
1154#497—831no—
1155#496—831no—
1156#496—831no—
1157#495—831no—
1158#495C2×D8311yescharacteristic, complemented
1159#492—831no—
1160#492—831no—
1161#468—831no—
1162#468—831no—
1163#468—831no—
1164#468—831no—
1165#467—831no—
1166#467—831no—
1167#466—831no—
1168#466—831no—
1169#465—831no—
1170#465—831no—
1171#465—831no—
1172#465—831no—
1173#465—831no—
1174#465—831no—
1175#465C2×D8311yescharacteristic, complemented
1176#465C2×D8311yescharacteristic, complemented
1177#464—831no—
1178#464—831no—
1179#464—831no—
1180#464C2×D8311yescharacteristic, complemented
1181#463—831no—
1182#463—831no—
1183#463—831no—
1184#463C2×D8311yescharacteristic, complemented
1185#461—831no—
1186#461—831no—
1187#461—831no—
1188#461—831no—
1189#460—831no—
1190#460—831no—
1191#460—831no—
1192#460—831no—
1193#452—831no—
1194#452—831no—
1195#452—831no—
1196#452C2×D8311yescharacteristic, complemented
1197#451—831no—
1198#451—831no—
1199#451—831no—
1200#451C2×D8311yescharacteristic, complemented
1201#450—831no—
1202#450—831no—
1203#450—831no—
1204#450—831no—
1205#450—831no—
1206#450—831no—
1207#450—831no—
1208#450—831no—
1209#449—831no—
1210#449—831no—
1211#449—831no—
1212#449C2×D8311yescharacteristic, complemented
1213#448—831no—
1214#448—831no—
1215#448—831no—
1216#448—831no—
1217#448—831no—
1218#448—831no—
1219#448—831no—
1220#448—831no—
1221#447—831no—
1222#447—831no—
1223#447—831no—
1224#447C2×D8311yescharacteristic, complemented
1225#440—831no—
1226#440—831no—
1227#440—831no—
1228#440—831no—
1229C4×SD16—831no—
1230C4×SD16—831no—
1231C4×SD16—831no—
1232C4×SD16C2×D8311yescharacteristic, complemented
1233#435—831no—
1234#435—831no—
1235#435—831no—
1236#435—831no—
1237C8×D4—831no—
1238C8×D4—831no—
1239C8×D4—831no—
1240C8×D4C2×D8311yescharacteristic, complemented
1241#427—831no—
1242#424—831no—
1243#419—831no—
1244#419—831no—
1245#418—831no—
1246#418—831no—
1247#416—831no—
1248#416—831no—
1249#408—831no—
1250#407—831no—
1251#405—831no—
1252C25—1661no—
12532−1+4—3322no—
12542−1+4—1664no—
1255H(5,𝔽2)—3322no—
1256H(5,𝔽2)—1664no—
1257C2×#41—831no—
1258C2×#41—831no—
1259C2×#41—831no—
1260C2×#41—831no—
1261C2×#41—831no—
1262C2×#41—1661no—
1263C2×#41—1661no—
1264C2×#41—1661no—
1265C2×#41—1661no—
1266C2×#41C22×D8311yescharacteristic
1267C2×#41C22×D8311yescharacteristic, complemented
1268C22×Q8—3322no—
1269C22×Q8—831no—
1270C22×Q8—831no—
1271C22×Q8—831no—
1272C22×Q8—831no—
1273C22×Q8—831no—
1274C22×Q8—831no—
1275C22×Q8—831no—
1276C22×Q8—1661no—
1277C22×Q8—1661no—
1278C22×Q8—1664no—
1279C22×Q8—1661no—
1280C22×Q8—1661no—
1281C22×Q8C22×D8311yescharacteristic
1282C22×D4—3322no—
1283C22×D4—831no—
1284C22×D4—831no—
1285C22×D4—831no—
1286C22×D4—831no—
1287C22×D4—831no—
1288C22×D4—831no—
1289C22×D4—831no—
1290C22×D4—1661no—
1291C22×D4—1661no—
1292C22×D4—1661no—
1293C22×D4—1661no—
1294C22×D4—1661no—
1295C22×D4—1661no—
1296C22×D4—1661no—
1297C22×D4—1664no—
1298C22×D4—1661no—
1299C22×D4—1661no—
1300C22×D4—1661no—
1301C22×D4C22×D8311yescharacteristic
1302C23×C4—831no—
1303C23×C4—1661no—
1304#137—3322no—
1305#137—1664no—
1306#137—1664no—
1307#137—1664no—
1308AGL(1,ℤ/8)—3322no—
1309AGL(1,ℤ/8)—1664no—
1310AGL(1,ℤ/8)—1664no—
1311AGL(1,ℤ/8)—1664no—
1312#135—24no—
1313#135—1664no—
1314#135—1664no—
1315C2×Q16—831no—
1316C2×Q16—831no—
1317C2×Q16—831no—
1318C2×Q16C22×D8311yescharacteristic, complemented
1319C2×Q16C22×D8311yescharacteristic, complemented
1320C2×SD16—24no—
1321C2×SD16—831no—
1322C2×SD16—831no—
1323C2×SD16—831no—
1324C2×SD16—831no—
1325C2×SD16—838no—
1326C2×SD16—831no—
1327C2×SD16—831no—
1328C2×SD16—831no—
1329C2×SD16—831no—
1330C2×SD16—831no—
1331C2×SD16—831no—
1332C2×SD16—831no—
1333C2×SD16—831no—
1334C2×SD16—831no—
1335C2×SD16—831no—
1336C2×SD16—831no—
1337C2×SD16—831no—
1338C2×SD16—831no—
1339C2×SD16—831no—
1340C2×SD16—831no—
1341C2×SD16—831no—
1342C2×SD16—831no—
1343C2×SD16—1664no—
1344C2×SD16—1664no—
1345C2×SD16—1664no—
1346C2×SD16—1664no—
1347C2×SD16—1664no—
1348C2×SD16—1664no—
1349C2×SD16—1664no—
1350C2×SD16—1664no—
1351C2×SD16—1664no—
1352C2×SD16—1664no—
1353C2×SD16—1664no—
1354C2×SD16—1664no—
1355C2×SD16C22×D8311yescharacteristic
1356C2×SD16C22×D8311yescharacteristic
1357C2×SD16C22×D8311yescharacteristic
1358C2×SD16C22×D8311yescharacteristic
1359C2×SD16C22×D8311yescharacteristic, complemented
1360C2×D8—831no—
1361C2×D8—831no—
1362C2×D8—831no—
1363C2×D8C22×D8311yescharacteristic
1364C2×D8C22×D8311yescharacteristic
1365#131—1664no—
1366C2×M16—831no—
1367C2×M16—831no—
1368C2×M16—831no—
1369C2×M16—831no—
1370C22×C8—831no—
1371C22×C8—831no—
1372C22×C8—831no—
1373C22×C8—831no—
1374C22×C8—831no—
1375C22×C8—831no—
1376C22×C8—1664no—
1377C22×C8C22×D8311yescharacteristic
1378C22×C8C22×D8311yescharacteristic, complemented
1379C4⋊Q8—831no—
1380C4⋊Q8—831no—
1381C4⋊Q8—1661no—
1382C4⋊Q8—1661no—
1383C4⋊Q8—1661no—
1384C4⋊Q8—1661no—
1385C4⋊Q8—1661no—
1386#127—831no—
1387#127—831no—
1388#127—1661no—
1389#124—21no—
1390#124—831no—
1391#124—831no—
1392#124—1661no—
1393#124—1661no—
1394#124—1661no—
1395#124—1661no—
1396#124—1661no—
1397#124C22×D8311yescharacteristic
1398#124C22×D8311yescharacteristic, complemented
1399#123—21no—
1400#123—831no—
1401#123—831no—
1402#123—1661no—
1403#123—1661no—
1404#123—1661no—
1405#123—1661no—
1406#123—1661no—
1407#123—1661no—
1408#123—1661no—
1409#123—1661no—
1410#123—1661no—
1411C22⋊Q8—21no—
1412C22⋊Q8—831no—
1413C22⋊Q8—831no—
1414C22⋊Q8—831no—
1415C22⋊Q8—831no—
1416C22⋊Q8—831no—
1417C22⋊Q8—831no—
1418C22⋊Q8—831no—
1419C22⋊Q8—831no—
1420C22⋊Q8—1661no—
1421C22⋊Q8—1661no—
1422C22⋊Q8—1661no—
1423C22⋊Q8—1661no—
1424C22⋊Q8—1661no—
1425C22⋊Q8—1661no—
1426C22⋊Q8—1661no—
1427C22⋊Q8—1661no—
1428C22⋊Q8—1661no—
1429C22⋊Q8—1661no—
1430C22⋊Q8—1661no—
1431C22⋊Q8—1661no—
1432C22⋊Q8—1661no—
1433C22⋊Q8C22×D8311yescharacteristic
1434C22⋊Q8C22×D8311yescharacteristic, complemented
1435#121—21no—
1436#121—21no—
1437#121—831no—
1438#121—831no—
1439#121—831no—
1440#121—831no—
1441#121—831no—
1442#121—831no—
1443#121—831no—
1444#121—831no—
1445#121—1661no—
1446#121—1661no—
1447#121—1661no—
1448#121—1661no—
1449#121—1661no—
1450#121—1661no—
1451#121—1661no—
1452#121—1661no—
1453#121—1661no—
1454#121—1661no—
1455#121—1661no—
1456#121—1661no—
1457#121C22×D8311yescharacteristic
1458#121C22×D8311yescharacteristic
1459#120—21no—
1460#120—831no—
1461#120—831no—
1462#120—1661no—
1463#120—1661no—
1464#120—1661no—
1465#120—1661no—
1466#120—1661no—
1467#120—1661no—
1468#120—1661no—
1469#120—1661no—
1470#120—1661no—
1471#120—1661no—
1472#120—1661no—
1473#120—1661no—
1474#120—1661no—
1475#120—1661no—
1476#120—1661no—
1477#120—1661no—
1478#120—1661no—
1479C4×Q8—831no—
1480C4×Q8—831no—
1481C4×Q8—831no—
1482C4×Q8—1661no—
1483C4×Q8—1661no—
1484C4×Q8C22×D8311yescharacteristic, complemented
1485C4×D4—21no—
1486C4×D4—831no—
1487C4×D4—831no—
1488C4×D4—831no—
1489C4×D4—831no—
1490C4×D4—831no—
1491C4×D4—831no—
1492C4×D4—1661no—
1493C4×D4—1661no—
1494C4×D4—1661no—
1495C4×D4—1661no—
1496C4×D4—1661no—
1497C4×D4—1661no—
1498C4×D4—1661no—
1499C4×D4—1661no—
1500C4×D4—1661no—
1501C4×D4—1661no—
1502C4×D4—1661no—
1503C4×D4—1661no—
1504C4×D4—1661no—
1505C4×D4C22×D8311yescharacteristic
1506C4×D4C22×D8311yescharacteristic
1507#117—831no—
1508#117—831no—
1509#117—831no—
1510#117—1661no—
1511#117—1661no—
1512C2×C22⋊C4—21no—
1513C2×C22⋊C4—1661no—
1514C2×C22⋊C4—1661no—
1515C2×C22⋊C4—1661no—
1516C2×C22⋊C4—1661no—
1517C2×C22⋊C4—1661no—
1518#107—831no—
1519#107—831no—
1520#106—831no—
1521#106C22×D8311yescharacteristic, complemented
1522C4⋊C8—831no—
1523C4⋊C8—831no—
1524C4⋊C8—831no—
1525C4⋊C8C22×D8311yescharacteristic, complemented
1526#103—831no—
1527#103—831no—
1528#103—831no—
1529#103—831no—
1530#103—831no—
1531#103—831no—
1532#103—831no—
1533#103—831no—
1534#103—831no—
1535#103C22×D8311yescharacteristic, complemented
1536#103C22×D8311yescharacteristic, complemented
1537#103C22×D8311yescharacteristic, complemented
1538#102—831no—
1539#102—831no—
1540#102—831no—
1541#102—831no—
1542#102—831no—
1543#102—831no—
1544#102—831no—
1545#102—831no—
1546#102—831no—
1547#102C22×D8311yescharacteristic
1548#102C22×D8311yescharacteristic
1549#102C22×D8311yescharacteristic, complemented
1550C22⋊C8—831no—
1551C22⋊C8—831no—
1552C22⋊C8—831no—
1553C22⋊C8—831no—
1554C22⋊C8—831no—
1555C22⋊C8—831no—
1556C22⋊C8C22×D8311yescharacteristic
1557C22⋊C8C22×D8311yescharacteristic, complemented
1558#97—831no—
1559#97—831no—
1560C4×C8—831no—
1561C4×C8C22×D8311yescharacteristic, complemented
1562C24—21no—
1563C24—3324no—
1564C24—831no—
1565C24—6642no—
1566C24—6642no—
1567C24—1661no—
1568C24—1661no—
1569C24—1661no—
1570C24—1661no—
1571C24—1661no—
1572C24—1661no—
1573C24—1661no—
1574#41—22no—
1575#41—22no—
1576#41—41no—
1577#41—41no—
1578#41—3324no—
1579#41—3324no—
1580#41—3324no—
1581#41—3321no—
1582#41—3324no—
1583#41—3321no—
1584#41—1662no—
1585#41—1662no—
1586#41—1662no—
1587#41—1662no—
1588#41—1662no—
1589#41—1662no—
1590#41—1662no—
1591#41—1662no—
1592C2×Q8—21no—
1593C2×Q8—22no—
1594C2×Q8—41no—
1595C2×Q8—3321no—
1596C2×Q8—3321no—
1597C2×Q8—3324no—
1598C2×Q8—3324no—
1599C2×Q8—3321no—
1600C2×Q8—3321no—
1601C2×Q8—3321no—
1602C2×Q8—3324no—
1603C2×Q8—3324no—
1604C2×Q8—831no—
1605C2×Q8—834no—
1606C2×Q8—831no—
1607C2×Q8—831no—
1608C2×Q8—831no—
1609C2×Q8—1662no—
1610C2×Q8—1662no—
1611C2×Q8—1661no—
1612C2×Q8—1661no—
1613C2×Q8—1661no—
1614C2×Q8—1661no—
1615C2×Q8—1661no—
1616C2×Q8—1662no—
1617C2×Q8—1662no—
1618C2×Q8—1662no—
1619C2×Q8—1662no—
1620C2×Q8—1662no—
1621C2×Q8—1662no—
1622C2×Q8—1661no—
1623C2×Q8—1661no—
1624C2×Q8C23×D8311yescharacteristic
1625C2×Q8C23×D8311yescharacteristic
1626C2×Q8C23×D8311yescharacteristic
1627C2×D4—22no—
1628C2×D4—21no—
1629C2×D4—21no—
1630C2×D4—21no—
1631C2×D4—21no—
1632C2×D4—21no—
1633C2×D4—41no—
1634C2×D4—3321no—
1635C2×D4—3321no—
1636C2×D4—3324no—
1637C2×D4—3324no—
1638C2×D4—3324no—
1639C2×D4—3321no—
1640C2×D4—3321no—
1641C2×D4—3321no—
1642C2×D4—3324no—
1643C2×D4—3324no—
1644C2×D4—3324no—
1645C2×D4—834no—
1646C2×D4—831no—
1647C2×D4—831no—
1648C2×D4—831no—
1649C2×D4—831no—
1650C2×D4—831no—
1651C2×D4—831no—
1652C2×D4—831no—
1653C2×D4—831no—
1654C2×D4—831no—
1655C2×D4—6642no—
1656C2×D4—6642no—
1657C2×D4—6642no—
1658C2×D4—6642no—
1659C2×D4—1661no—
1660C2×D4—1661no—
1661C2×D4—1661no—
1662C2×D4—1662no—
1663C2×D4—1662no—
1664C2×D4—1661no—
1665C2×D4—1662no—
1666C2×D4—1662no—
1667C2×D4—1662no—
1668C2×D4—1661no—
1669C2×D4—1661no—
1670C2×D4—1661no—
1671C2×D4—1661no—
1672C2×D4—1661no—
1673C2×D4—1661no—
1674C2×D4—1661no—
1675C2×D4—1662no—
1676C2×D4—1661no—
1677C2×D4—1661no—
1678C2×D4—1661no—
1679C2×D4—1661no—
1680C2×D4—1662no—
1681C2×D4—1662no—
1682C2×D4—1661no—
1683C2×D4—1661no—
1684C2×D4—1661no—
1685C2×D4—1661no—
1686C2×D4—1661no—
1687C2×D4—1661no—
1688C2×D4D4×D8311yescharacteristic
1689C2×D4C23×D8311yescharacteristic
1690C2×D4C23×D8311yescharacteristic
1691C2×D4C23×D8311yescharacteristic
1692C22×C4—21no—
1693C22×C4—21no—
1694C22×C4—21no—
1695C22×C4—21no—
1696C22×C4—3324no—
1697C22×C4—831no—
1698C22×C4—831no—
1699C22×C4—831no—
1700C22×C4—831no—
1701C22×C4—831no—
1702C22×C4—831no—
1703C22×C4—1661no—
1704C22×C4—1661no—
1705C22×C4—1661no—
1706C22×C4—1661no—
1707C22×C4—1661no—
1708C22×C4—1661no—
1709C22×C4—1661no—
1710C22×C4—1662no—
1711C22×C4—1662no—
1712C22×C4—1661no—
1713C22×C4—1661no—
1714C22×C4—1661no—
1715C22×C4—1661no—
1716C22×C4—1661no—
1717C22×C4—1661no—
1718C22×C4—1661no—
1719C22×C4C23×D8311yescharacteristic
1720C22×C4C23×D8311yescharacteristic
1721Q16—22no—
1722Q16—41no—
1723Q16—3321no—
1724Q16—1662no—
1725Q16—1662no—
1726SD16—22no—
1727SD16—22no—
1728SD16—22no—
1729SD16—22no—
1730SD16—3321no—
1731SD16—3321no—
1732SD16—3321no—
1733SD16—3321no—
1734SD16—834no—
1735SD16—834no—
1736SD16—834no—
1737SD16—1662no—
1738SD16—1662no—
1739SD16—1662no—
1740SD16—1662no—
1741SD16—1662no—
1742SD16—1662no—
1743SD16—1662no—
1744SD16—1662no—
1745SD16—1662no—
1746SD16—1662no—
1747SD16—1662no—
1748SD16—1662no—
1749SD16—1662no—
1750SD16—1662no—
1751SD16D4×D8314yescomplemented
1752D8—22no—
1753D8—41no—
1754D8—3321no—
1755D8—1662no—
1756D8—1662no—
1757M16—1662no—
1758M16—1662no—
1759M16—1662no—
1760M16—1662no—
1761C2×C8—22no—
1762C2×C8—22no—
1763C2×C8—831no—
1764C2×C8—834no—
1765C2×C8—831no—
1766C2×C8—831no—
1767C2×C8—831no—
1768C2×C8—1662no—
1769C2×C8—1662no—
1770C2×C8—1662no—
1771C2×C8—1662no—
1772C2×C8—1662no—
1773C2×C8C23×D8311yescharacteristic
1774C2×C8C23×D8311yescharacteristic
1775C2×C8C23×D8311yescharacteristic
1776C2×C8C23×D8311yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—831no—
1781C4⋊C4—831no—
1782C4⋊C4—831no—
1783C4⋊C4—831no—
1784C4⋊C4—831no—
1785C4⋊C4—831no—
1786C4⋊C4—831no—
1787C4⋊C4—1661no—
1788C4⋊C4—1661no—
1789C4⋊C4—1661no—
1790C4⋊C4—1661no—
1791C4⋊C4—1661no—
1792C4⋊C4—1661no—
1793C4⋊C4—1661no—
1794C4⋊C4—1661no—
1795C4⋊C4—1661no—
1796C4⋊C4—1661no—
1797C4⋊C4—1661no—
1798C4⋊C4—1661no—
1799C4⋊C4—1661no—
1800C4⋊C4D4×D8311yescharacteristic
1801C4⋊C4C23×D8311yescharacteristic
1802C4⋊C4C23×D8311yescharacteristic
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—831no—
1813C22⋊C4—831no—
1814C22⋊C4—831no—
1815C22⋊C4—831no—
1816C22⋊C4—831no—
1817C22⋊C4—831no—
1818C22⋊C4—831no—
1819C22⋊C4—831no—
1820C22⋊C4—1661no—
1821C22⋊C4—1661no—
1822C22⋊C4—1661no—
1823C22⋊C4—1661no—
1824C22⋊C4—1661no—
1825C22⋊C4—1661no—
1826C22⋊C4—1661no—
1827C22⋊C4—1661no—
1828C22⋊C4—1661no—
1829C22⋊C4—1661no—
1830C22⋊C4—1661no—
1831C22⋊C4—1661no—
1832C22⋊C4—1661no—
1833C22⋊C4—1661no—
1834C22⋊C4—1661no—
1835C22⋊C4—1661no—
1836C22⋊C4—1661no—
1837C22⋊C4—1661no—
1838C22⋊C4—1661no—
1839C22⋊C4—1661no—
1840C22⋊C4—1661no—
1841C22⋊C4D4×D8311yescharacteristic
1842C22⋊C4D4×D8311yescharacteristic
1843C42—21no—
1844C42—831no—
1845C42—1661no—
1846C42—1661no—
1847C42—1661no—
1848C42—1661no—
1849C42—1661no—
1850C42C23×D8311yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—42no—
1855C23—42no—
1856C23—81no—
1857C23—3322no—
1858C23—3322no—
1859C23—3322no—
1860C23—3322no—
1861C23—3322no—
1862C23—3322no—
1863C23—3322no—
1864C23—3322no—
1865C23—3322no—
1866C23—831no—
1867C23—831no—
1868C23—831no—
1869C23—6641no—
1870C23—6641no—
1871C23—6641no—
1872C23—6641no—
1873C23—6641no—
1874C23—6641no—
1875C23—6641no—
1876C23—6641no—
1877C23—6641no—
1878C23—6641no—
1879C23—6641no—
1880C23—66416no—
1881C23—1664no—
1882C23—1662no—
1883C23—1662no—
1884C23—1661no—
1885C23—1661no—
1886C23—1661no—
1887C23—1662no—
1888C23C2×D4×D8311yescharacteristic
1889C23C2×D4×D8311yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—21no—
1894Q8—21no—
1895Q8—42no—
1896Q8—3322no—
1897Q8—3322no—
1898Q8—3322no—
1899Q8—3322no—
1900Q8—3322no—
1901Q8—3322no—
1902Q8—832no—
1903Q8—1664no—
1904Q8—1662no—
1905Q8—1661no—
1906Q8—1661no—
1907Q8—1661no—
1908Q8—1661no—
1909Q8—1661no—
1910Q8C2×D4×D8312yes—
1911D4—22no—
1912D4—21no—
1913D4—21no—
1914D4—21no—
1915D4—21no—
1916D4—21no—
1917D4—42no—
1918D4—42no—
1919D4—42no—
1920D4—42no—
1921D4—81no—
1922D4—3322no—
1923D4—3322no—
1924D4—3322no—
1925D4—3322no—
1926D4—3322no—
1927D4—3322no—
1928D4—3322no—
1929D4—3322no—
1930D4—3322no—
1931D4—3322no—
1932D4—3322no—
1933D4—3322no—
1934D4—3322no—
1935D4—832no—
1936D4—6641no—
1937D4—6641no—
1938D4—6641no—
1939D4—6641no—
1940D4—6641no—
1941D4—6641no—
1942D4—6641no—
1943D4—1662no—
1944D4—1662no—
1945D4—1664no—
1946D4—1662no—
1947D4—1662no—
1948D4—1662no—
1949D4—1662no—
1950D4—1661no—
1951D4—1661no—
1952D4—1661no—
1953D4—1661no—
1954D4—1661no—
1955D4C2×D4×D8312yes—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—42no—
1966C2×C4—42no—
1967C2×C4—42no—
1968C2×C4—81no—
1969C2×C4—3322no—
1970C2×C4—3322no—
1971C2×C4—3322no—
1972C2×C4—3322no—
1973C2×C4—3322no—
1974C2×C4—3322no—
1975C2×C4—3322no—
1976C2×C4—3322no—
1977C2×C4—3322no—
1978C2×C4—3322no—
1979C2×C4—831no—
1980C2×C4—832no—
1981C2×C4—832no—
1982C2×C4—831no—
1983C2×C4—831no—
1984C2×C4—831no—
1985C2×C4—831no—
1986C2×C4—6641no—
1987C2×C4—6641no—
1988C2×C4—6641no—
1989C2×C4—1662no—
1990C2×C4—1664no—
1991C2×C4—1662no—
1992C2×C4—1661no—
1993C2×C4—1661no—
1994C2×C4—1661no—
1995C2×C4—1661no—
1996C2×C4—1662no—
1997C2×C4—1661no—
1998C2×C4—1661no—
1999C2×C4—1661no—
2000C2×C4—1661no—
2001C2×C4—1661no—
2002C2×C4C2×D4×D8311yescharacteristic
2003C2×C4C2×D4×D8311yescharacteristic
2004C2×C4C2×D4×D8311yescharacteristic
2005C2×C4C2×D4×D8311yescharacteristic
2006C2×C4C24×D8311yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—832no—
2011C8—1661no—
2012C8—1661no—
2013C8—1661no—
2014C8C2×D4×D8312yes—
2015C22—21no—
2016C22—21no—
2017C22—21no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—84no—
2030C22—13282no—
2031C22—13282no—
2032C22—3321no—
2033C22—3321no—
2034C22—3321no—
2035C22—3321no—
2036C22—3321no—
2037C22—3321no—
2038C22—3321no—
2039C22—3321no—
2040C22—832no—
2041C22—832no—
2042C22—6644no—
2043C22—6644no—
2044C22—6644no—
2045C22—6644no—
2046C22—6644no—
2047C22—1668no—
2048C22—1661no—
2049C22—1662no—
2050C22—1661no—
2051C22—1661no—
2052C22—1661no—
2053C22—1661no—
2054C22—1661no—
2055C22—1661no—
2056C22#1912850812yescomplemented
2057C22C22×D4×D8311yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—22no—
2061C4—21no—
2062C4—21no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—3321no—
2068C4—3321no—
2069C4—3321no—
2070C4—3321no—
2071C4—832no—
2072C4—1661no—
2073C4—1662no—
2074C4—1661no—
2075C4—1661no—
2076C4—1661no—
2077C4C22×D4×D8311yescharacteristic
2078C4H(5,𝔽2)×D8311yescharacteristic
2079C2—22no—
2080C2—41no—
2081C2—42no—
2082C2—81no—
2083C2—81no—
2084C2—3321no—
2085C2—3322no—
2086C2—6641no—
2087C2—6641no—
2088C2—1662no—
2089C2—1662no—
2090C2D42×D8311yescharacteristic
2091C2#577×D8311yescharacteristic
2092C2C2×#1912850811yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3282C2
socleC22×C83C23×D4
hypercenter#3282D83
hypocenterC83#61050
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. C2×#19128508C2semidirect
2. C22×SD16×D83C2semidirect
3. #24921109C2semidirect
4. #24921093C2semidirect
5. #24919169C2semidirect
6. #24919167C2semidirect
7. #24919164C2semidirect
8. D4×#13050579C2semidirect
9. SD16×D332C2semidirect
10. #24919156C2semidirect
11. SD16×C22⋊D83C2semidirect
12. #24918971C2semidirect
13. #24918969C2semidirect
14. #24918968C2semidirect
15. #24918966C2semidirect
16. #24918964C2semidirect
17. #24918962C2semidirect
18. #24918961C2semidirect
19. #24918959C2semidirect
20. #24917934C2semidirect
21. #24917097C2semidirect
22. #24917039C2semidirect
23. #24916982C2semidirect
24. #24916973C2semidirect
25. #24916746C2semidirect
26. #24916737C2semidirect
27. #24916698C2semidirect
28. #24916687C2semidirect
29. #24916317C2semidirect
30. #24916152C2semidirect
31. C83×#3282C2semidirect
32. C2×#14581839C22semidirect
34. C22×Q8×D83C22semidirect
37. C2×#14581824C22semidirect
38. C2×#14581824C22semidirect
39. C2×#14581824C22semidirect
40. C2×#14581822C22semidirect
41. C2×#14581817C22semidirect
43. C2×#14581816C22semidirect
44. C2×#14581816C22semidirect
45. C2×#14581813C22semidirect
46. C2×#14581813C22semidirect
47. C22×#13050579C22semidirect
48. C22×#13050579C22semidirect
49. C22×#13050578C22semidirect
50. C22×#13050577C22semidirect
54. C2×SD16×D83C22semidirect
55. C2×SD16×D83C22semidirect
56. C2×SD16×D83C22semidirect
57. C2×SD16×D83C22semidirect
58. C2×SD16×D83C22semidirect
59. C2×SD16×D83C22semidirect
60. C2×SD16×D83C22semidirect
61. C2×#14581798C22semidirect
62. C22×C8×D83C22semidirect
63. Q8×D332C22semidirect
65. D4×Dic166C22semidirect
66. Q8×C22⋊D83C22semidirect
68. #19128364C22semidirect
70. #19128359C22semidirect
71. #19128358C22semidirect
73. #19128357C22semidirect
86. #19128274C22semidirect
88. #19128271C22semidirect
95. #19128211C22semidirect
100. #19128177C22semidirect
102. #19128096C22semidirect
103. #19128094C22semidirect
104. #19128091C22semidirect
105. #19128089C22semidirect
106. #19128082C22semidirect
107. #19128074C22semidirect
108. #19128072C22semidirect
109. #19127950C22semidirect
110. #19127949C22semidirect
111. #19127946C22semidirect
112. #19127945C22semidirect
113. #19127941C22semidirect
114. #19127940C22semidirect
115. #19127936C22semidirect
116. #19127935C22semidirect
117. #19127931C22semidirect
118. #19127931C22semidirect
119. #19127930C22semidirect
120. #19127930C22semidirect
121. #19127927C22semidirect
122. #19127927C22semidirect
123. #19127926C22semidirect
124. #19127925C22semidirect
125. #19127920C22semidirect
126. #19127915C22semidirect
127. #19127914C22semidirect
128. #19127913C22semidirect
129. #19127907C22semidirect
130. #19127906C22semidirect
131. #19127905C22semidirect
132. #19127904C22semidirect
133. #19127902C22semidirect
134. #19127901C22semidirect
135. #19127900C22semidirect
136. #19127899C22semidirect
137. #19127866C22semidirect
138. #19127863C22semidirect
139. #19127862C22semidirect
140. #19127856C22semidirect
141. #19127855C22semidirect
142. #19127855C22semidirect
143. #19127854C22semidirect
144. #19127854C22semidirect
145. #19127853C22semidirect
146. #19127853C22semidirect
147. #19127853C22semidirect
148. #19127852C22semidirect
149. #19127851C22semidirect
150. #19127850C22semidirect
151. #19127847C22semidirect
152. #19127846C22semidirect
153. #19127843C22semidirect
154. #19127842C22semidirect
155. #19127842C22semidirect
156. #19127841C22semidirect
157. #19127841C22semidirect
158. #19127841C22semidirect
159. #19127840C22semidirect
160. #19127839C22semidirect
161. #19127838C22semidirect
162. #19127834C22semidirect
163. #19127833C22semidirect
164. #19127833C22semidirect
165. #19127804C22semidirect
166. #19127801C22semidirect
167. #19127799C22semidirect
168. #19127798C22semidirect
169. C4×#13050579C22semidirect
170. SD16×Dic83C22semidirect
171. #19127788C22semidirect
172. #19127775C22semidirect
173. #19127773C22semidirect
174. #19127771C22semidirect
175. #19127769C22semidirect
176. C8×D332C22semidirect
177. C8×C22⋊D83C22semidirect
178. C8×C22⋊D83C22semidirect
179. #19127736C22semidirect
180. #19127726C22semidirect
181. #19127708C22semidirect
182. #19127708C22semidirect
184. #19127704C22semidirect
185. #19127696C22semidirect
186. #19127694C22semidirect
187. #19127666C22semidirect
188. #19127663C22semidirect
189. #19127655C22semidirect
190. C2×#135×C83C22semidirect
191. C22×SD16×C83C22semidirect
192. #548×C83C22semidirect
194. #495×C83C22semidirect
195. #465×C83C22semidirect
196. #465×C83C22semidirect
197. #464×C83C22semidirect
198. #463×C83C22semidirect
199. #452×C83C22semidirect
200. #451×C83C22semidirect
201. #449×C83C22semidirect
202. #447×C83C22semidirect
203. C4×SD16×C83C22semidirect
204. C8×D4×C83C22semidirect
218. C2×#13050589C23semidirect
222. C22×Dic166C23semidirect
231. C2×Q8×D83C23semidirect
263. C2×#13050580C23semidirect
264. C2×#13050580C23semidirect
265. C2×#13050580C23semidirect
274. C2×#13050579C23semidirect
275. C2×#13050579C23semidirect
276. C2×#13050579C23semidirect
289. C2×#13050577C23semidirect
290. C2×#13050577C23semidirect
299. SD16×D83D4semidirect
302. C2×#13050575C23semidirect
304. C2×#13050574C23semidirect
307. C2×#13050573C23semidirect
314. C2×C8×D83C23semidirect
316. #14581792C23semidirect
321. #14581790C23semidirect
327. #14581779C23semidirect
346. #14581772C23semidirect
350. #14581771C23semidirect
363. #14581768C23semidirect
403. Q8×Dic83C23semidirect
405. C4×Dic166C23semidirect
407. #14581757C23semidirect
437. #14581725C23semidirect
438. #14581725C23semidirect
439. #14581724C23semidirect
440. C4⋊(C83⋊C8)C23semidirect
441. Dic83⋊C8C23semidirect
442. Dic83⋊C8C23semidirect
443. #14581717C23semidirect
444. #14581717C23semidirect
445. #14581717C23semidirect
446. #14581716C23semidirect
447. #14581716C23semidirect
448. #14581716C23semidirect
449. #14581715C23semidirect
450. #14581715C23semidirect
451. #14581715C23semidirect
454. #14581714C23semidirect
457. #14581713C23semidirect
460. #14581712C23semidirect
462. C22⋊(C83⋊C8)C23semidirect
465. (C2×D83)⋊C8C23semidirect
466. (C2×D83)⋊C8C23semidirect
467. #14581703C23semidirect
468. #14581702C23semidirect
469. C8×Dic83C23semidirect
471. C2×#41×C83C23semidirect
475. C2×Q16×C83C23semidirect
476. C2×Q16×C83C23semidirect
482. C2×SD16×C83C23semidirect
486. C22×C8×C83C23semidirect
489. #124×C83C23semidirect
493. C22⋊Q8×C83C23semidirect
499. C4×Q8×C83C23semidirect
504. #106×C83C23semidirect
505. C4⋊C8×C83C23semidirect
506. #103×C83C23semidirect
507. #103×C83C23semidirect
508. #103×C83C23semidirect
511. #102×C83C23semidirect
513. C22⋊C8×C83C23semidirect
514. C4×C8×C83C23semidirect
568. Q8×D83C2×D4semidirect
657. #13050579C2×D4semidirect
663. #13050578C2×D4semidirect
669. #13050577C2×D4semidirect
686. C8×D83C2×D4semidirect
776. SD16×C83C2×D4semidirect
983. C22×C83#577semidirect
1010. C2×D83#577semidirect
1054. #3282D83semidirect
1078. C83#61050semidirect
1094. C2×#135C2×D83semidirect
1109. C22×SD16C2×D83semidirect
1123. #548C2×D83semidirect
1158. #495C2×D83semidirect
1175. #465C2×D83semidirect
1176. #465C2×D83semidirect
1180. #464C2×D83semidirect
1184. #463C2×D83semidirect
1196. #452C2×D83semidirect
1200. #451C2×D83semidirect
1212. #449C2×D83semidirect
1224. #447C2×D83semidirect
1232. C4×SD16C2×D83semidirect
1240. C8×D4C2×D83semidirect
1267. C2×#41C22×D83semidirect
1318. C2×Q16C22×D83semidirect
1319. C2×Q16C22×D83semidirect
1359. C2×SD16C22×D83semidirect
1378. C22×C8C22×D83semidirect
1398. #124C22×D83semidirect
1434. C22⋊Q8C22×D83semidirect
1484. C4×Q8C22×D83semidirect
1521. #106C22×D83semidirect
1525. C4⋊C8C22×D83semidirect
1535. #103C22×D83semidirect
1536. #103C22×D83semidirect
1537. #103C22×D83semidirect
1549. #102C22×D83semidirect
1557. C22⋊C8C22×D83semidirect
1561. C4×C8C22×D83semidirect
1751. SD16D4×D83semidirect
2056. C22#19128508semidirect

Maximal subgroups

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

subgroupindex
C2×#191285082
C22×SD16×D832
#249211092
#249210932
#249191692
#249191672
#249191642
D4×#130505792
SD16×D3322
#249191562
SD16×C22⋊D832
#249189712
#249189692
#249189682
#249189662
#249189642
#249189622
#249189612
#249189592
#249179342
#249170972
#249170392
#249169822
#249169732
#249167462
#249167372
#249166982
#249166872
#249163172
#249161522
C83×#32822
#6105083