Finite Group Databasebeta

← #27102512

Subgroups — #27102512

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257702C211yesmaximal, characteristic, complemented
2#20257051C211yesmaximal, characteristic, complemented
3#20255544C211yesmaximal, characteristic, complemented
4#20255402C211yesmaximal, characteristic, complemented
5#20255400C211yesmaximal, characteristic, complemented
6#20255386C211yesmaximal, characteristic, complemented
7#20255339C211yesmaximal, characteristic, complemented
8#20255270C211yesmaximal, characteristic, complemented
9#20255231C211yesmaximal, characteristic, complemented
10#20255203C211yesmaximal, characteristic, complemented
11#20255141C211yesmaximal, characteristic, complemented
12#20255094C211yesmaximal, characteristic, complemented
13D8×C22⋊D47C211yesmaximal, characteristic, complemented
14#20254928C211yesmaximal, characteristic, complemented
15#20254924C211yesmaximal, characteristic, complemented
16#20254881C211yesmaximal, characteristic, complemented
17#20254874C211yesmaximal, characteristic, complemented
18#20254475C211yesmaximal, characteristic, complemented
19#20254435C211yesmaximal, characteristic, complemented
20#20254291C211yesmaximal, characteristic, complemented
21#20254244C211yesmaximal, characteristic, complemented
22#20254151C211yesmaximal, characteristic, complemented
23#20254135C211yesmaximal, characteristic, complemented
24#20253647C211yesmaximal, characteristic, complemented
25#20253583C211yesmaximal, characteristic, complemented
26#20252693C211yesmaximal, characteristic, complemented
27#20252652C211yesmaximal, characteristic, complemented
28#20252602C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3280C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×SD16×D47C2211yescharacteristic, complemented
39C2×D8×D47C2211yescharacteristic, complemented
40#15689868—21no—
41#15689862—21no—
42#15689838C2211yescharacteristic, complemented
43#15689820C2211yescharacteristic, complemented
44#15689807C2211yescharacteristic, complemented
45#15689801—21no—
46#15689794C2211yescharacteristic, complemented
47#15689792C2211yescharacteristic, complemented
48#15689791C2211yescharacteristic, complemented
49#15689783C2211yescharacteristic
50#15689781C2211yescharacteristic, complemented
51#15689778C2211yescharacteristic, complemented
52#15689766C2211yescharacteristic, complemented
53#15689765—21no—
54#15689763—21no—
55#15689763—21no—
56#15689761C2211yescharacteristic, complemented
57D4×D188C2211yescharacteristic, complemented
58#15689757—21no—
59D4×C22⋊D47C2211yescharacteristic
60D4×C22⋊D47C2211yescharacteristic, complemented
61#15689755—21no—
62#15689742C2211yescharacteristic, complemented
63#15689725—21no—
64#15689724C2211yescharacteristic, complemented
65#15689711—21no—
66#15689703C2211yescharacteristic, complemented
67#15689703C2211yescharacteristic, complemented
68#15689700—21no—
69#15689691C2211yescharacteristic, complemented
70#15689690C2211yescharacteristic, complemented
71#15689689—21no—
72#15689688—21no—
73#15689683—21no—
74#15689632C2211yescharacteristic
75#15689631—21no—
76#15689630C2211yescharacteristic, complemented
77C2×#13093997—21no—
78#121×D47C2211yescharacteristic, complemented
79#121×D47C2211yescharacteristic, complemented
80#15689602C2211yescharacteristic, complemented
81#15689513C2211yescharacteristic, complemented
82#15689509C2211yescharacteristic, complemented
83#15689498C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689482C2211yescharacteristic, complemented
86#15689479C2211yescharacteristic, complemented
87#15689470C2211yescharacteristic, complemented
88#15689461C2211yescharacteristic, complemented
89#15689457C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689448C2211yescharacteristic, complemented
92#15689448C2211yescharacteristic, complemented
93#15689444C2211yescharacteristic, complemented
94#15689440C2211yescharacteristic, complemented
95#15689438C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689438C2211yescharacteristic, complemented
98#15689435C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689429C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689419C2211yescharacteristic, complemented
103#15689403C2211yescharacteristic, complemented
104#15689375C2211yescharacteristic, complemented
105#15689371C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689366C2211yescharacteristic, complemented
108#15689359C2211yescharacteristic, complemented
109#15689359C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689355C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689347C2211yescharacteristic, complemented
119#15689342C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic, complemented
121#15689335C2211yescharacteristic, complemented
122#15689322C2211yescharacteristic, complemented
123#15689321C2211yescharacteristic, complemented
124#15689319C2211yescharacteristic, complemented
125#15689318C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689284C2211yescharacteristic, complemented
129#15689284C2211yescharacteristic, complemented
130#15689283C2211yescharacteristic, complemented
131#15689282C2211yescharacteristic, complemented
132#15689277C2211yescharacteristic, complemented
133#15689272C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic, complemented
135#15689271C2211yescharacteristic, complemented
136#15689271C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689270C2211yescharacteristic, complemented
139#15689269C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic, complemented
141#15689268C2211yescharacteristic, complemented
142#15689267C2211yescharacteristic, complemented
143#15689267C2211yescharacteristic, complemented
144#15689266C2211yescharacteristic, complemented
145#15689265C2211yescharacteristic
146#15689265C2211yescharacteristic, complemented
147#15689265C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689260C2211yescharacteristic, complemented
150#15689258C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689257C2211yescharacteristic, complemented
153#15689257C2211yescharacteristic, complemented
154#15689255C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689233C2211yescharacteristic, complemented
161#15689224C2211yescharacteristic, complemented
162#15689223C2211yescharacteristic, complemented
163#15689220C2211yescharacteristic, complemented
164#15689215C2211yescharacteristic, complemented
165C4×#10625325C2211yescharacteristic, complemented
166D8×Dic47C2211yescharacteristic, complemented
167#15689197C2211yescharacteristic, complemented
168#15689195C2211yescharacteristic, complemented
169#15689194C2211yescharacteristic, complemented
170#15689193C2211yescharacteristic, complemented
171C8×D188C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689183C2211yescharacteristic, complemented
175#15689182C2211yescharacteristic, complemented
176#15689128C2211yescharacteristic, complemented
177#15689121C2211yescharacteristic, complemented
178#15689120C2211yescharacteristic, complemented
179#15689120C2211yescharacteristic, complemented
180#15689119C2211yescharacteristic, complemented
181#103×D47C2211yescharacteristic, complemented
182#102×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×#135×C47C2211yescharacteristic, complemented
189C22×D8×C47C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic, complemented
192C47×#495C2211yescharacteristic, complemented
193C47×#467C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#450C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C4×D8×C47C2211yescharacteristic, complemented
202C8×D4×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625350—21no—
208C2×#10625350—21no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625352—21no—
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C2×Q8×D47C2311yescharacteristic
219C22×D188—21no—
220C22×C22⋊D47—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C22×C4×D47—21no—
233C22×C4×D47C2311yescharacteristic
234#13094051—42no—
235#13094050—42no—
236#13094045—42no—
237#13094044—42no—
238C2×#10625337C2311yescharacteristic
239C2×#10625325C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625336C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×#10625336C2311yescharacteristic
245SD16×D47—42no—
246C2×D376C2311yescharacteristic
247C2×D376C2311yescharacteristic
248C2×#10625334C2311yescharacteristic
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254D8×D47—42no—
255C2×#10625329C2311yescharacteristic
256C2×#10625324C2311yescharacteristic
257C22×C47⋊C8C2311yescharacteristic
258C2×C8×D47C2311yescharacteristic
259C2×C8×D47C2311yescharacteristic
260C2×C8×D47C2311yescharacteristic
261#13094024C2311yescharacteristic
262#13094021C2311yescharacteristic
263#13094020—21no—
264#13094020—21no—
265#13094020—21no—
266#13094020—21no—
267#13094020C2311yescharacteristic
268#13094020C2311yescharacteristic
269#13094017—21no—
270#13094017—21no—
271#13094017—21no—
272#13094015C2311yescharacteristic
273#13094014—21no—
274#13094013C2311yescharacteristic
275#13094011—21no—
276#13094010—21no—
277#13094010—21no—
278#13094010—21no—
279#13094010—21no—
280#13094010—21no—
281#13094009D411yescharacteristic
282#13094008—21no—
283#13094007—21no—
284#13094007—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006D411yescharacteristic
291#13094005—21no—
292#13094005—21no—
293#13094003—21no—
294#13094002—21no—
295#13094002—21no—
296#13094002—21no—
297#13094002D411yescharacteristic
298#13094001—21no—
299#13094001—21no—
300#13094001D411yescharacteristic
301#13094000C2311yescharacteristic
302#13094000C2311yescharacteristic
303#13094000C2311yescharacteristic
304#13093999—21no—
305#13093999—21no—
306#13093999C2311yescharacteristic
307#13093999C2311yescharacteristic
308#13093999C2311yescharacteristic
309#13093998—21no—
310#13093998—21no—
311#13093998—21no—
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093998C2311yescharacteristic
315#13093998C2311yescharacteristic
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997D411yescharacteristic
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996D411yescharacteristic
339#13093995—21no—
340#13093995—21no—
341#13093995—21no—
342#13093995C2311yescharacteristic
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093994—21no—
349#13093994—21no—
350#13093994—21no—
351#13093994—21no—
352#13093994—21no—
353#13093994D411yescharacteristic
354#13093993—21no—
355#13093993—21no—
356#13093993—21no—
357#13093993—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992D411yescharacteristic
363Q8×Dic47C2311yescharacteristic
364C4×Dic94C2311yescharacteristic
365#13093989C2311yescharacteristic
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368D4×Dic47C2311yescharacteristic
369D4×Dic47C2311yescharacteristic
370#13093986—21no—
371#13093986—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47C2311yescharacteristic
377C4×C22⋊D47C2311yescharacteristic
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381(C22⋊D47)⋊C4—21no—
382#13093983C2311yescharacteristic
383#13093983C2311yescharacteristic
384#13093982—21no—
385#13093982—21no—
386#13093981C2311yescharacteristic
387#13093980—21no—
388C2×Dic47⋊C4—21no—
389C4⋊C4×D47C2311yescharacteristic
390C4⋊C4×D47C2311yescharacteristic
391C4⋊C4×D47C2311yescharacteristic
392C2×(C2×D47)⋊C4—21no—
393C22⋊C4×D47—21no—
394C22⋊C4×D47—21no—
395C22⋊C4×D47—21no—
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093957C2311yescharacteristic
401#13093956C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093935C2311yescharacteristic
443#13093934C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C22×D4×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449#135×C47—42no—
450C2×Q16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×D8×C47—42no—
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C22×C8×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#124×C47C2311yescharacteristic
463#124×C47C2311yescharacteristic
464#123×C47—21no—
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#120×C47—21no—
473#120×C47—21no—
474C4×D4×C47C2311yescharacteristic
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C2×C22⋊C4×C47—21no—
478C2×C22⋊C4×C47—21no—
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—22no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501C2×Q8×C47C2411yescharacteristic
502C2×Q8×C47C2411yescharacteristic
503C2×D4×C47—22no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—41no—
511C2×D4×C47—41no—
512C2×D4×C47—41no—
513C2×D4×C47C2×D411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47—21no—
521C22×C4×C47—21no—
522C22×C4×C47C2411yescharacteristic
523C22×C4×C47C2411yescharacteristic
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—21no—
541C2×C22⋊D47—21no—
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—44no—
547C2×C22⋊D47—44no—
548C2×C22⋊D47—82no—
549C2×C22⋊D47—82no—
550C2×C22⋊D47C2×D411yescharacteristic
551C2×C22⋊D47C2×D411yescharacteristic
552C2×C22⋊D47C2×D411yescharacteristic
553C2×C22⋊D47C2×D411yescharacteristic
554C22×Dic47—21no—
555C22×Dic47—21no—
556C22×Dic47—21no—
557C22×Dic47—21no—
558C22×Dic47C2×D411yescharacteristic
559#10625354—41no—
560#10625354—41no—
561#10625354—41no—
562#10625354—41no—
563Q8×D47—22no—
564Q8×D47—41no—
565#10625352—22no—
566#10625352—22no—
567#10625352—22no—
568#10625352—41no—
569#10625352—44no—
570#10625352—44no—
571D4×D47—22no—
572D4×D47—22no—
573D4×D47—41no—
574D4×D47—41no—
575D4×D47—41no—
576D4×D47—41no—
577D4×D47—41no—
578D4×D47—41no—
579D4×D47—44no—
580D4×D47—44no—
581D4×D47—82no—
582D4×D47—82no—
583#10625350—22no—
584#10625350—22no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—44no—
590#10625350—82no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188—21no—
594C2×D188—21no—
595C2×D188—21no—
596C2×D188—21no—
597C2×D188—21no—
598C2×D188—82no—
599C2×D188C2×D411yescharacteristic
600C2×D188C2×D411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×D188C2411yescharacteristic
603C2×D188C2411yescharacteristic
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—41no—
614C2×C4×D47—41no—
615C2×C4×D47—44no—
616C2×C4×D47C2×D411yescharacteristic
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×Dic94—21no—
622C2×Dic94—21no—
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625Q16×C47—41no—
626SD16×C47—22no—
627SD16×C47—41no—
628SD16×C47—41no—
629SD16×C47—41no—
630D8×C47—22no—
631D8×C47—22no—
632D8×C47—41no—
633D8×C47—41no—
634C2×C8×C47—41no—
635C2×C8×C47—41no—
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C2×C8×C47C2411yescharacteristic
640C4⋊C4×C47—21no—
641C4⋊C4×C47—21no—
642C4⋊C4×C47C2×D411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C4⋊C4×C47C2411yescharacteristic
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C22⋊C4×C47—21no—
655C22⋊C4×C47C2×D411yescharacteristic
656C22⋊C4×C47C2×D411yescharacteristic
657C42×C47C2411yescharacteristic
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666C22⋊Dic47—21no—
667C22⋊Dic47—21no—
668C22⋊Dic47C2×D411yescharacteristic
669C22⋊Dic47C2×D411yescharacteristic
670#10625337—22no—
671#10625336—41no—
672#10625336—41no—
673#10625336—41no—
674#10625335—22no—
675#10625335—22no—
676#10625334—22no—
677#10625334—41no—
678#10625334—41no—
679#10625334—41no—
680#10625334—41no—
681#10625334—41no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700(C2×D47)⋊C4C2×D411yescharacteristic
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47C2×D411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4C2×D411yescharacteristic
719Dic47⋊C4C2×D411yescharacteristic
720Dic47⋊C4C2×D411yescharacteristic
721Dic47⋊C4C2×D411yescharacteristic
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C4×Dic47—21no—
726C4×Dic47—21no—
727C4×Dic47C2411yescharacteristic
728#10625329—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734D376—41no—
735D376—41no—
736#10625325—22no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—42no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47C22×D411yescharacteristic
752C23×C47C22×D411yescharacteristic
753C22×D47—22no—
754C22×D47—21no—
755C22×D47—21no—
756C22×D47—21no—
757C22×D47—41no—
758C22×D47—41no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—42no—
763C22×D47—42no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—41no—
786D4×C47—42no—
787D4×C47—42no—
788D4×C47—81no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47H(5,𝔽2)12yes—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—42no—
802C2×C4×C47—81no—
803C2×C4×C47—81no—
804C2×C4×C47—81no—
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C2511yescharacteristic
810C22⋊D47—24no—
811C22⋊D47—22no—
812C22⋊D47—41no—
813C22⋊D47—41no—
814C22⋊D47—41no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—42no—
822C22⋊D47—42no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C22⋊D47—81no—
834C22⋊D47—81no—
835C22⋊D47—81no—
836C2×Dic47—24no—
837C2×Dic47—21no—
838C2×Dic47—21no—
839C2×Dic47—21no—
840C2×Dic47—21no—
841C2×Dic47—21no—
842C2×Dic47—41no—
843C2×Dic47—42no—
844C2×Dic47—81no—
845C2×Dic47—81no—
846C2×Dic47C22×D411yescharacteristic
847C2×Dic47C22×D411yescharacteristic
848C2×Dic47C22×D411yescharacteristic
849C2×Dic47C22×D411yescharacteristic
850C2×Dic47C22×D411yescharacteristic
851D188—22no—
852D188—21no—
853D188—21no—
854D188—21no—
855D188—21no—
856D188—21no—
857D188—21no—
858D188—41no—
859D188—42no—
860D188—42no—
861D188—81no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188—81no—
866C4×D47—21no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—41no—
873C4×D47—41no—
874C4×D47—42no—
875C4×D47—42no—
876C4×D47—42no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—81no—
880C4×D47—81no—
881C4×D47—81no—
882C4×D47—81no—
883Dic94—21no—
884Dic94—41no—
885Dic94—42no—
886Dic94—81no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—22no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—162no—
916C22×C47—162no—
917C22×C47C23×D411yescharacteristic
918C2×D47—21no—
919C2×D47—21no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—21no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—82no—
936C2×D47—84no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47C2×H(5,𝔽2)11yescharacteristic
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951Dic47—21no—
952Dic47—22no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280D4711yescharacteristic, complemented
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—42no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47—81no—
998C2×C47#348411yescharacteristic
999C2×C47C2×#57611yescharacteristic
1000C2×C47#358411yescharacteristic
1001D47—22no—
1002D47—41no—
1003D47—41no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135C2×D4711yescharacteristic, complemented
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8C2×D4711yescharacteristic, complemented
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—941no—
1032#546—941no—
1033#546—941no—
1034#546C2×D4711yescharacteristic, complemented
1035#546C2×D4711yescharacteristic, complemented
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495C2×D4711yescharacteristic, complemented
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467C2×D4711yescharacteristic, complemented
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466C2×D4711yescharacteristic, complemented
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463C2×D4711yescharacteristic, complemented
1105#463C2×D4711yescharacteristic, complemented
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450C2×D4711yescharacteristic, complemented
1120#450C2×D4711yescharacteristic, complemented
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447—471no—
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8C2×D4711yescharacteristic, complemented
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4C2×D4711yescharacteristic, complemented
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—1882no—
1193C2×#41—1882no—
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—941no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—42no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—1882no—
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—42no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—1882no—
1242C2×D8C22×D4711yescharacteristic
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—941no—
1269#124—941no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124C22×D4711yescharacteristic
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—471no—
1279#123—471no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—471no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121—941no—
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—471no—
1354#120—471no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—941no—
1378C4×D4—941no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102—471no—
1445#102—471no—
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8C22×D4711yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—471no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—942no—
1482#41—3762no—
1483#41—1881no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1884no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1884no—
1492#41—1884no—
1493#41—1881no—
1494#41—1881no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—941no—
1498C2×Q8—941no—
1499C2×Q8—942no—
1500C2×Q8—1881no—
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—942no—
1537C2×D4—942no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1884no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4D4×D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—471no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—41no—
1602Q16—942no—
1603SD16—22no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—942no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—942no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—471no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4—941no—
1664C4⋊C4D4×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—471no—
1684C22⋊C4—471no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—471no—
1711C42—941no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—471no—
1728C23—471no—
1729C23—471no—
1730C23—942no—
1731C23—941no—
1732C23—941no—
1733C23—941no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—1881no—
1742C23—1881no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—472no—
1755Q8—941no—
1756Q8—3761no—
1757Q8—1881no—
1758Q8—1882no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—41no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—942no—
1774D4—942no—
1775D4—944no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—3761no—
1783D4—3761no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—1881no—
1801D4—1882no—
1802D4—1882no—
1803D4—1881no—
1804D4—1881no—
1805D4—1881no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—42no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—471no—
1828C2×C4—471no—
1829C2×C4—471no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—944no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—1881no—
1851C2×C4—1881no—
1852C2×C4—1882no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1881no—
1858C2×C4—1882no—
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—22no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—162no—
1892C22—472no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—941no—
1898C22—941no—
1899C22—941no—
1900C22—941no—
1901C22—3764no—
1902C22—3762no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—1881no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—941no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—942no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—942no—
1943C2—3761no—
1944C2—3761no—
1945C2—3761no—
1946C2—1881no—
1947C2—1881no—
1948C2#2025701611yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3280C2
socleC22×C47C23×D4
hypercenter#3280D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #20257702C2semidirect
2. #20257051C2semidirect
3. #20255544C2semidirect
4. #20255402C2semidirect
5. #20255400C2semidirect
6. #20255386C2semidirect
7. #20255339C2semidirect
8. #20255270C2semidirect
9. #20255231C2semidirect
10. #20255203C2semidirect
11. #20255141C2semidirect
12. #20255094C2semidirect
13. D8×C22⋊D47C2semidirect
14. #20254928C2semidirect
15. #20254924C2semidirect
16. #20254881C2semidirect
17. #20254874C2semidirect
18. #20254475C2semidirect
19. #20254435C2semidirect
20. #20254291C2semidirect
21. #20254244C2semidirect
22. #20254151C2semidirect
23. #20254135C2semidirect
24. #20253647C2semidirect
25. #20253583C2semidirect
26. #20252693C2semidirect
27. #20252652C2semidirect
28. #20252602C2semidirect
29. #449×D47C2semidirect
30. #20252441C2semidirect
31. C47×#3280C2semidirect
32. C2×#13094069C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094045C22semidirect
37. C2×#13094044C22semidirect
38. C2×SD16×D47C22semidirect
39. C2×D8×D47C22semidirect
42. #15689838C22semidirect
43. #15689820C22semidirect
44. #15689807C22semidirect
46. #15689794C22semidirect
47. #15689792C22semidirect
48. #15689791C22semidirect
50. #15689781C22semidirect
51. #15689778C22semidirect
52. #15689766C22semidirect
56. #15689761C22semidirect
57. D4×D188C22semidirect
60. D4×C22⋊D47C22semidirect
62. #15689742C22semidirect
64. #15689724C22semidirect
66. #15689703C22semidirect
67. #15689703C22semidirect
69. #15689691C22semidirect
70. #15689690C22semidirect
76. #15689630C22semidirect
78. #121×D47C22semidirect
79. #121×D47C22semidirect
80. #15689602C22semidirect
81. #15689513C22semidirect
82. #15689509C22semidirect
83. #15689498C22semidirect
84. #15689486C22semidirect
85. #15689482C22semidirect
86. #15689479C22semidirect
87. #15689470C22semidirect
88. #15689461C22semidirect
89. #15689457C22semidirect
90. #15689457C22semidirect
91. #15689448C22semidirect
92. #15689448C22semidirect
93. #15689444C22semidirect
94. #15689440C22semidirect
95. #15689438C22semidirect
96. #15689438C22semidirect
97. #15689438C22semidirect
98. #15689435C22semidirect
99. #15689435C22semidirect
100. #15689429C22semidirect
101. #15689425C22semidirect
102. #15689419C22semidirect
103. #15689403C22semidirect
104. #15689375C22semidirect
105. #15689371C22semidirect
106. #15689371C22semidirect
107. #15689366C22semidirect
108. #15689359C22semidirect
109. #15689359C22semidirect
110. #15689358C22semidirect
111. #15689358C22semidirect
112. #15689357C22semidirect
113. #15689357C22semidirect
114. #15689356C22semidirect
115. #15689355C22semidirect
116. #15689349C22semidirect
117. #15689349C22semidirect
118. #15689347C22semidirect
119. #15689342C22semidirect
120. #15689340C22semidirect
121. #15689335C22semidirect
122. #15689322C22semidirect
123. #15689321C22semidirect
124. #15689319C22semidirect
125. #15689318C22semidirect
126. #15689316C22semidirect
127. #15689316C22semidirect
128. #15689284C22semidirect
129. #15689284C22semidirect
130. #15689283C22semidirect
131. #15689282C22semidirect
132. #15689277C22semidirect
133. #15689272C22semidirect
134. #15689272C22semidirect
135. #15689271C22semidirect
136. #15689271C22semidirect
137. #15689270C22semidirect
138. #15689270C22semidirect
139. #15689269C22semidirect
140. #15689268C22semidirect
141. #15689268C22semidirect
142. #15689267C22semidirect
143. #15689267C22semidirect
144. #15689266C22semidirect
146. #15689265C22semidirect
147. #15689265C22semidirect
148. #15689265C22semidirect
149. #15689260C22semidirect
150. #15689258C22semidirect
151. #15689258C22semidirect
152. #15689257C22semidirect
153. #15689257C22semidirect
154. #15689255C22semidirect
155. #15689255C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689233C22semidirect
161. #15689224C22semidirect
162. #15689223C22semidirect
163. #15689220C22semidirect
164. #15689215C22semidirect
165. C4×#10625325C22semidirect
166. D8×Dic47C22semidirect
167. #15689197C22semidirect
168. #15689195C22semidirect
169. #15689194C22semidirect
170. #15689193C22semidirect
171. C8×D188C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689183C22semidirect
175. #15689182C22semidirect
176. #15689128C22semidirect
177. #15689121C22semidirect
178. #15689120C22semidirect
179. #15689120C22semidirect
180. #15689119C22semidirect
181. #103×D47C22semidirect
182. #102×D47C22semidirect
183. #102×D47C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×#135×C47C22semidirect
189. C22×D8×C47C22semidirect
190. C47×#546C22semidirect
191. C47×#546C22semidirect
192. C47×#495C22semidirect
193. C47×#467C22semidirect
194. C47×#466C22semidirect
195. C47×#463C22semidirect
196. C47×#463C22semidirect
197. C47×#450C22semidirect
198. C47×#450C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C4×D8×C47C22semidirect
202. C8×D4×C47C22semidirect
973. #3280D47semidirect
1013. C2×#135C2×D47semidirect
1016. C22×D8C2×D47semidirect
1034. #546C2×D47semidirect
1035. #546C2×D47semidirect
1062. #495C2×D47semidirect
1088. #467C2×D47semidirect
1096. #466C2×D47semidirect
1104. #463C2×D47semidirect
1105. #463C2×D47semidirect
1119. #450C2×D47semidirect
1120. #450C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1155. C4×D8C2×D47semidirect
1163. C8×D4C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577022
#202570512
#202555442
#202554022
#202554002
#202553862
#202553392
#202552702
#202552312
#202552032
#202551412
#202550942
D8×C22⋊D472
#202549282
#202549242
#202548812
#202548742
#202544752
#202544352
#202542912
#202542442
#202541512
#202541352
#202536472
#202535832
#202526932
#202526522
#202526022
#449×D472
#202524412
C47×#32802
#6163947