Finite Group Databasebeta

← #27110061

Subgroups — #27110061

Order 12032.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257332C211yesmaximal, characteristic, complemented
2#20256454C211yesmaximal, characteristic, complemented
3#20256396C211yesmaximal, characteristic, complemented
4#20256135C211yesmaximal, characteristic, complemented
5#20256033C211yesmaximal, characteristic, complemented
6#20255693C211yesmaximal, characteristic, complemented
7#20255656C211yesmaximal, characteristic, complemented
8#20255641C211yesmaximal, characteristic, complemented
9#20255514C211yesmaximal, characteristic, complemented
10#20255349C211yesmaximal, characteristic, complemented
11#20255238C211yesmaximal, characteristic, complemented
12#20255096C211yesmaximal, characteristic, complemented
13#20255008C211yesmaximal, characteristic, complemented
14#20254995C211yesmaximal, characteristic, complemented
15#20254995C211yesmaximal, characteristic, complemented
16#20254914C211yesmaximal, characteristic, complemented
17#20254884C211yesmaximal, characteristic, complemented
18#20254829C211yesmaximal, characteristic, complemented
19#20254793C211yesmaximal, characteristic, complemented
20#20254784C211yesmaximal, characteristic, complemented
21#20254497C211yesmaximal, characteristic, complemented
22#20254438C211yesmaximal, characteristic, complemented
23#20254364C211yesmaximal, characteristic, complemented
24#20253626C211yesmaximal, characteristic, complemented
25#20253596C211yesmaximal, characteristic, complemented
26#20253431C211yesmaximal, characteristic, complemented
27#20252923C211yesmaximal, characteristic, complemented
28#20252896C211yesmaximal, characteristic, complemented
29#20252848C211yesmaximal, characteristic, complemented
30#20252537C211yesmaximal, characteristic, complemented
31C47×#3562C211yesmaximal, characteristic, complemented
32C2×#13094050C2211yescharacteristic
33C2×#13094049C2211yescharacteristic
34C2×#13094049C2211yescharacteristic
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic
37C22×#10625336C2211yescharacteristic, complemented
38#15689858C2211yescharacteristic, complemented
39#15689833C2211yescharacteristic, complemented
40#15689824—21no—
41#15689819C2211yescharacteristic
42#15689813C2211yescharacteristic, complemented
43#15689800—21no—
44#15689798—21no—
45#15689777C2211yescharacteristic
46#15689769C2211yescharacteristic
47#15689769C2211yescharacteristic
48#15689762—21no—
49D4×D188C2211yescharacteristic, complemented
50#15689744C2211yescharacteristic, complemented
51#15689728C2211yescharacteristic
52#15689721—21no—
53#15689707—21no—
54#15689657C2211yescharacteristic, complemented
55#15689631—21no—
56#123×D47—21no—
57#15689603C2211yescharacteristic
58#15689597C2211yescharacteristic, complemented
59C2×C4×D188C2211yescharacteristic, complemented
60#15689515C2211yescharacteristic, complemented
61#15689513C2211yescharacteristic
62#15689505C2211yescharacteristic, complemented
63#15689505C2211yescharacteristic, complemented
64#15689505C2211yescharacteristic, complemented
65#15689499C2211yescharacteristic
66#15689487C2211yescharacteristic, complemented
67#15689482C2211yescharacteristic, complemented
68#15689477C2211yescharacteristic, complemented
69#15689477C2211yescharacteristic, complemented
70#15689477C2211yescharacteristic, complemented
71#15689473C2211yescharacteristic, complemented
72#15689456C2211yescharacteristic, complemented
73#15689456C2211yescharacteristic, complemented
74#15689451C2211yescharacteristic, complemented
75#15689444C2211yescharacteristic, complemented
76#15689444C2211yescharacteristic, complemented
77#15689439C2211yescharacteristic, complemented
78#15689430C2211yescharacteristic, complemented
79#15689430C2211yescharacteristic, complemented
80#15689430C2211yescharacteristic, complemented
81#15689427C2211yescharacteristic, complemented
82#15689423C2211yescharacteristic, complemented
83#15689420C2211yescharacteristic, complemented
84#15689420C2211yescharacteristic, complemented
85#15689420C2211yescharacteristic, complemented
86#15689413C2211yescharacteristic, complemented
87#15689403C2211yescharacteristic, complemented
88#15689379C2211yescharacteristic, complemented
89#15689374C2211yescharacteristic
90#15689374C2211yescharacteristic, complemented
91#15689371C2211yescharacteristic, complemented
92#15689371C2211yescharacteristic, complemented
93#15689371C2211yescharacteristic, complemented
94#15689367C2211yescharacteristic, complemented
95#15689367C2211yescharacteristic, complemented
96#15689357C2211yescharacteristic
97#15689354C2211yescharacteristic, complemented
98#15689354C2211yescharacteristic, complemented
99#15689350C2211yescharacteristic, complemented
100#15689345C2211yescharacteristic, complemented
101#15689342C2211yescharacteristic, complemented
102#15689342C2211yescharacteristic, complemented
103#15689338C2211yescharacteristic, complemented
104#15689338C2211yescharacteristic, complemented
105#15689338C2211yescharacteristic, complemented
106#15689335C2211yescharacteristic
107#15689335C2211yescharacteristic
108#15689335C2211yescharacteristic
109#15689335C2211yescharacteristic
110#15689335C2211yescharacteristic, complemented
111#15689335C2211yescharacteristic, complemented
112#15689335C2211yescharacteristic, complemented
113#15689335C2211yescharacteristic, complemented
114#15689335C2211yescharacteristic, complemented
115#15689335C2211yescharacteristic, complemented
116#15689330C2211yescharacteristic, complemented
117#15689325C2211yescharacteristic, complemented
118#15689325C2211yescharacteristic, complemented
119#15689325C2211yescharacteristic, complemented
120#15689325C2211yescharacteristic, complemented
121#15689325C2211yescharacteristic, complemented
122#15689323C2211yescharacteristic, complemented
123#15689323C2211yescharacteristic, complemented
124#15689320C2211yescharacteristic, complemented
125#15689320C2211yescharacteristic, complemented
126#15689315C2211yescharacteristic
127#15689315C2211yescharacteristic
128#15689315C2211yescharacteristic, complemented
129#15689315C2211yescharacteristic, complemented
130#15689285C2211yescharacteristic, complemented
131#15689285C2211yescharacteristic, complemented
132#15689285C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic
134#15689283C2211yescharacteristic
135#15689279C2211yescharacteristic, complemented
136#15689273C2211yescharacteristic, complemented
137#15689268C2211yescharacteristic
138#15689268C2211yescharacteristic
139#15689268C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic, complemented
141#15689268C2211yescharacteristic, complemented
142#15689262C2211yescharacteristic, complemented
143#15689257C2211yescharacteristic, complemented
144#15689257C2211yescharacteristic, complemented
145#15689256C2211yescharacteristic
146#15689256C2211yescharacteristic
147#15689256C2211yescharacteristic, complemented
148#15689254C2211yescharacteristic, complemented
149Q8×C47⋊C8C2211yescharacteristic, complemented
150#15689233C2211yescharacteristic, complemented
151#15689233C2211yescharacteristic, complemented
152#15689228C2211yescharacteristic, complemented
153#15689221C2211yescharacteristic, complemented
154C4×#10625337C2211yescharacteristic, complemented
155C4×#10625336C2211yescharacteristic, complemented
156C4×#10625336C2211yescharacteristic, complemented
157C4×#10625336C2211yescharacteristic, complemented
158C4×#10625334C2211yescharacteristic
159C4×#10625334C2211yescharacteristic
160C4×#10625334C2211yescharacteristic, complemented
161C4×#10625334C2211yescharacteristic, complemented
162#15689201C2211yescharacteristic, complemented
163#15689201C2211yescharacteristic, complemented
164#15689201C2211yescharacteristic, complemented
165#15689195C2211yescharacteristic, complemented
166#15689195C2211yescharacteristic, complemented
167D4×C47⋊C8C2211yescharacteristic, complemented
168#15689184C2211yescharacteristic, complemented
169#15689184C2211yescharacteristic, complemented
170#15689176C2211yescharacteristic, complemented
171#15689150C2211yescharacteristic, complemented
172#15689150C2211yescharacteristic, complemented
173#15689147C2211yescharacteristic, complemented
174#15689132C2211yescharacteristic, complemented
175#15689124C2211yescharacteristic, complemented
176#15689124C2211yescharacteristic, complemented
177#15689124C2211yescharacteristic, complemented
178#15689119C2211yescharacteristic, complemented
179C2×#13093945C2211yescharacteristic, complemented
180C47×#562—21no—
181C47×#560—21no—
182C47×#559C2211yescharacteristic, complemented
183C47×#556C2211yescharacteristic, complemented
184C47×#553—21no—
185C47×#551—21no—
186C47×#550C2211yescharacteristic
187C47×#548C2211yescharacteristic
188C47×#548C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic, complemented
191C47×#546C2211yescharacteristic, complemented
192C47×#541C2211yescharacteristic, complemented
193C47×#540—21no—
194C47×#540C2211yescharacteristic, complemented
195C47×#539—21no—
196C47×#538—21no—
197C47×#538—21no—
198C47×#536C2211yescharacteristic, complemented
199C47×#535C2211yescharacteristic, complemented
200C47×#532C2211yescharacteristic, complemented
201C47×#529C2211yescharacteristic
202C47×#529C2211yescharacteristic, complemented
203C2×#10625350C2311yescharacteristic
204C2×#10625352—21no—
205C22×D188C2311yescharacteristic
206C22×D188C2311yescharacteristic
207C2×D4×D47—21no—
208C22×C4×D47—21no—
209#13094050—42no—
210#13094049—42no—
211#13094049—42no—
212#13094049—42no—
213#13094044—42no—
214C2×#10625337C2311yescharacteristic
215C2×#10625337C2311yescharacteristic
216C2×#10625337C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625335C2311yescharacteristic
219C2×#10625335C2311yescharacteristic
220C2×#10625336—42no—
221C2×#10625336C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227C2×#10625336C2311yescharacteristic
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625334C2311yescharacteristic
231C2×#10625334C2311yescharacteristic
232C2×#10625334C2311yescharacteristic
233C2×#10625334C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625329C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625329C2311yescharacteristic
242C2×#10625329C2311yescharacteristic
243C22×C47⋊C8C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094021C2311yescharacteristic
247#13094019—21no—
248#13094019—21no—
249#13094018—21no—
250#13094017—21no—
251#13094016C2311yescharacteristic
252#13094016C2311yescharacteristic
253#13094014—21no—
254#13094013—21no—
255#13094012C2311yescharacteristic
256#13094012C2311yescharacteristic
257#13094010—21no—
258#13094009—21no—
259#13094009—21no—
260#13094009—21no—
261#13094009—21no—
262#13094009—21no—
263#13094009—21no—
264#13094008—21no—
265#13094008—21no—
266#13094007—21no—
267#13094006—21no—
268#13094006—21no—
269#13094005—21no—
270#13094004—21no—
271#13094003C2311yescharacteristic
272#13094003C2311yescharacteristic
273#13094002—21no—
274#13094002—21no—
275#13094002—21no—
276#13094000—21no—
277#13093999—21no—
278#13093998C2311yescharacteristic
279#13093998C2311yescharacteristic
280#13093998C2311yescharacteristic
281#13093998C2311yescharacteristic
282#13093997—21no—
283#13093997—21no—
284#13093997—21no—
285#13093997—21no—
286#13093996—21no—
287#13093994—21no—
288#13093994—21no—
289#13093992—21no—
290#13093992—21no—
291C4×Dic94C2311yescharacteristic
292C4×Dic94C2311yescharacteristic
293C4×D188—21no—
294C4×D188—21no—
295C4×D188C2311yescharacteristic
296C4×D188C2311yescharacteristic
297C4×D188C2311yescharacteristic
298C4×D188C2311yescharacteristic
299C4×D188C2311yescharacteristic
300C4×D188C2311yescharacteristic
301C4×D188C2311yescharacteristic
302C4×D188C2311yescharacteristic
303#13093986—21no—
304#13093986—21no—
305#13093986—21no—
306C4×C22⋊D47—21no—
307(C22⋊D47)⋊C4—21no—
308(C22⋊D47)⋊C4—21no—
309(C22⋊D47)⋊C4—21no—
310#13093983C2311yescharacteristic
311#13093982—21no—
312#13093981—21no—
313#13093980—21no—
314C2×C4⋊Dic47C2311yescharacteristic
315C2×C4⋊Dic47C2311yescharacteristic
316C4⋊C4×D47—21no—
317C4⋊C4×D47—21no—
318C2×(C2×D47)⋊C4—21no—
319C22⋊C4×D47—21no—
320C22⋊C4×D47—21no—
321C22⋊C4×D47—21no—
322C22⋊C4×D47—21no—
323#13093957C2311yescharacteristic
324#13093957C2311yescharacteristic
325#13093957C2311yescharacteristic
326#13093957C2311yescharacteristic
327#13093955C2311yescharacteristic
328#13093955C2311yescharacteristic
329#13093955C2311yescharacteristic
330#13093955C2311yescharacteristic
331C4⋊(C47⋊C8)C2311yescharacteristic
332C4⋊(C47⋊C8)C2311yescharacteristic
333C4⋊(C47⋊C8)C2311yescharacteristic
334C4⋊(C47⋊C8)C2311yescharacteristic
335C4⋊(C47⋊C8)C2311yescharacteristic
336C4⋊(C47⋊C8)C2311yescharacteristic
337C4⋊(C47⋊C8)C2311yescharacteristic
338C4⋊(C47⋊C8)C2311yescharacteristic
339C4⋊(C47⋊C8)C2311yescharacteristic
340C4⋊(C47⋊C8)C2311yescharacteristic
341#13093948C2311yescharacteristic
342#13093948C2311yescharacteristic
343#13093948C2311yescharacteristic
344#13093948C2311yescharacteristic
345#13093948C2311yescharacteristic
346#13093948C2311yescharacteristic
347#13093948C2311yescharacteristic
348#13093948C2311yescharacteristic
349#13093948C2311yescharacteristic
350#13093948C2311yescharacteristic
351#13093948C2311yescharacteristic
352#13093948C2311yescharacteristic
353#13093947C2311yescharacteristic
354#13093947C2311yescharacteristic
355#13093945C2311yescharacteristic
356#13093945C2311yescharacteristic
357#13093945C2311yescharacteristic
358#13093945C2311yescharacteristic
359#13093945C2311yescharacteristic
360#13093945C2311yescharacteristic
361#13093945C2311yescharacteristic
362#13093945C2311yescharacteristic
363#13093945C2311yescharacteristic
364#13093945C2311yescharacteristic
365#13093945C2311yescharacteristic
366#13093945C2311yescharacteristic
367#13093944C2311yescharacteristic
368#13093944C2311yescharacteristic
369#13093944C2311yescharacteristic
370#13093944C2311yescharacteristic
371#13093944C2311yescharacteristic
372#13093944C2311yescharacteristic
373C22⋊(C47⋊C8)C2311yescharacteristic
374C22⋊(C47⋊C8)C2311yescharacteristic
375C22⋊(C47⋊C8)C2311yescharacteristic
376C22⋊(C47⋊C8)C2311yescharacteristic
377C22⋊(C47⋊C8)C2311yescharacteristic
378C22⋊(C47⋊C8)C2311yescharacteristic
379#13093935C2311yescharacteristic
380#13093935C2311yescharacteristic
381C4×C47⋊C8C2311yescharacteristic
382C4×C47⋊C8C2311yescharacteristic
383C4×C47⋊C8C2311yescharacteristic
384C4×C47⋊C8C2311yescharacteristic
385C2×#41×C47C2311yescharacteristic
386C2×#41×C47C2311yescharacteristic
387C2×#41×C47C2311yescharacteristic
388C2×#41×C47C2311yescharacteristic
389C22×Q8×C47C2311yescharacteristic
390C22×D4×C47C2311yescharacteristic
391C4⋊Q8×C47C2311yescharacteristic
392C4⋊Q8×C47C2311yescharacteristic
393#127×C47—21no—
394#127×C47C2311yescharacteristic
395#127×C47C2311yescharacteristic
396#126×C47—21no—
397#126×C47—21no—
398#126×C47—21no—
399#126×C47—21no—
400#126×C47—21no—
401#126×C47D411yescharacteristic
402#126×C47D411yescharacteristic
403#125×C47—21no—
404#125×C47—21no—
405#125×C47D411yescharacteristic
406#125×C47C2311yescharacteristic
407#124×C47—21no—
408#124×C47—21no—
409#124×C47—21no—
410#124×C47D411yescharacteristic
411#124×C47C2311yescharacteristic
412#124×C47C2311yescharacteristic
413#124×C47C2311yescharacteristic
414#124×C47C2311yescharacteristic
415#124×C47C2311yescharacteristic
416#123×C47—21no—
417#123×C47—21no—
418#123×C47—21no—
419#123×C47—21no—
420#123×C47—21no—
421#123×C47—21no—
422#123×C47—21no—
423#123×C47—21no—
424#123×C47—21no—
425#123×C47—21no—
426#123×C47—21no—
427#123×C47D411yescharacteristic
428#123×C47D411yescharacteristic
429C22⋊Q8×C47—21no—
430C22⋊Q8×C47—21no—
431C22⋊Q8×C47—21no—
432C22⋊Q8×C47—21no—
433C22⋊Q8×C47—21no—
434C22⋊Q8×C47D411yescharacteristic
435C22⋊Q8×C47C2311yescharacteristic
436C22⋊Q8×C47C2311yescharacteristic
437C22⋊Q8×C47C2311yescharacteristic
438#121×C47—21no—
439#121×C47—21no—
440#121×C47—21no—
441#121×C47—21no—
442#121×C47—21no—
443#121×C47—21no—
444#121×C47—21no—
445#121×C47—21no—
446#121×C47—21no—
447#121×C47—21no—
448#121×C47—21no—
449#121×C47—21no—
450#121×C47—21no—
451#121×C47D411yescharacteristic
452#121×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454#121×C47C2311yescharacteristic
455#120×C47—21no—
456#120×C47—21no—
457#120×C47—21no—
458#120×C47—21no—
459C4×Q8×C47C2311yescharacteristic
460C4×Q8×C47C2311yescharacteristic
461C4×Q8×C47C2311yescharacteristic
462C4×Q8×C47C2311yescharacteristic
463C4×D4×C47—21no—
464C4×D4×C47—21no—
465C4×D4×C47—21no—
466C4×D4×C47—21no—
467C4×D4×C47—21no—
468C4×D4×C47—21no—
469C4×D4×C47—21no—
470C4×D4×C47C2311yescharacteristic
471C4×D4×C47C2311yescharacteristic
472C4×D4×C47C2311yescharacteristic
473C4×D4×C47C2311yescharacteristic
474C4×D4×C47C2311yescharacteristic
475C4×D4×C47C2311yescharacteristic
476#117×C47—21no—
477#117×C47—21no—
478#117×C47C2311yescharacteristic
479#117×C47C2311yescharacteristic
480C2×C4⋊C4×C47—21no—
481C2×C22⋊C4×C47—21no—
482C2×C22⋊C4×C47—21no—
483C2×C42×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489#41×C47—41no—
490#41×C47—41no—
491#41×C47—41no—
492#41×C47—41no—
493#41×C47—41no—
494#41×C47—41no—
495C2×Q8×C47—21no—
496C2×Q8×C47—41no—
497C2×Q8×C47—41no—
498C2×Q8×C47C2×D411yescharacteristic
499C2×Q8×C47C2411yescharacteristic
500C2×Q8×C47C2411yescharacteristic
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—21no—
503C2×D4×C47—21no—
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—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—41no—
515C2×D4×C47—41no—
516C2×D4×C47C2×D411yescharacteristic
517C2×D4×C47C2×D411yescharacteristic
518C2×D4×C47C2×D411yescharacteristic
519C2×D4×C47C2411yescharacteristic
520C2×D4×C47C2411yescharacteristic
521C2×D4×C47C2411yescharacteristic
522C22×C4×C47—21no—
523C22×C4×C47—21no—
524C22×C4×C47—21no—
525C22×C4×C47—21no—
526C22×C4×C47—21no—
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—21no—
530C22×C4×C47C2×D411yescharacteristic
531C22×C4×C47C2×D411yescharacteristic
532C22×C4×C47C2411yescharacteristic
533C22×C4×C47C2411yescharacteristic
534C22×C4×C47C2411yescharacteristic
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C22×Dic47—21no—
541C22×Dic47—21no—
542#10625352—82no—
543D4×D47—82no—
544#10625350—22no—
545#10625350—41no—
546C2×D188—22no—
547C2×D188—22no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188—21no—
552C2×D188—41no—
553C2×D188—41no—
554C2×D188C2411yescharacteristic
555C2×D188C2411yescharacteristic
556C2×D188C2411yescharacteristic
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—21no—
564C2×C4×D47—21no—
565C2×C4×D47—21no—
566C2×C4×D47—82no—
567C2×Dic94—21no—
568C2×Dic94C2411yescharacteristic
569C4⋊C4×C47—21no—
570C4⋊C4×C47—21no—
571C4⋊C4×C47—21no—
572C4⋊C4×C47—21no—
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47—21no—
581C4⋊C4×C47C2×D411yescharacteristic
582C4⋊C4×C47C2×D411yescharacteristic
583C4⋊C4×C47C2×D411yescharacteristic
584C4⋊C4×C47C2×D411yescharacteristic
585C4⋊C4×C47C2×D411yescharacteristic
586C4⋊C4×C47C2×D411yescharacteristic
587C4⋊C4×C47C2×D411yescharacteristic
588C4⋊C4×C47C2×D411yescharacteristic
589C4⋊C4×C47C2×D411yescharacteristic
590C4⋊C4×C47C2×D411yescharacteristic
591C4⋊C4×C47C2411yescharacteristic
592C4⋊C4×C47C2411yescharacteristic
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47—21no—
603C22⋊C4×C47—21no—
604C22⋊C4×C47—21no—
605C22⋊C4×C47—21no—
606C22⋊C4×C47—21no—
607C22⋊C4×C47—21no—
608C22⋊C4×C47—21no—
609C22⋊C4×C47—21no—
610C22⋊C4×C47—21no—
611C22⋊C4×C47—21no—
612C22⋊C4×C47C2×D411yescharacteristic
613C22⋊C4×C47C2×D411yescharacteristic
614C22⋊C4×C47C2×D411yescharacteristic
615C22⋊C4×C47C2×D411yescharacteristic
616C22⋊C4×C47C2×D411yescharacteristic
617C22⋊C4×C47C2×D411yescharacteristic
618C22⋊C4×C47C2×D411yescharacteristic
619C22⋊C4×C47C2×D411yescharacteristic
620C22⋊C4×C47C2×D411yescharacteristic
621C22⋊C4×C47C2×D411yescharacteristic
622C42×C47—21no—
623C42×C47—21no—
624C42×C47—21no—
625C42×C47C2×D411yescharacteristic
626C42×C47C2×D411yescharacteristic
627C42×C47C2411yescharacteristic
628C42×C47C2411yescharacteristic
629C42×C47C2411yescharacteristic
630C42×C47C2411yescharacteristic
631C22⋊Dic47—21no—
632C22⋊Dic47—21no—
633C22⋊Dic47—21no—
634#10625337—41no—
635#10625337—41no—
636#10625337—41no—
637#10625336—22no—
638#10625336—22no—
639#10625336—22no—
640#10625336—41no—
641#10625336—41no—
642#10625336—41no—
643#10625336—41no—
644#10625336—41no—
645#10625336—41no—
646#10625335—41no—
647#10625335—41no—
648#10625335—41no—
649#10625334—22no—
650#10625334—22no—
651#10625334—22no—
652#10625334—41no—
653#10625334—41no—
654#10625334—41no—
655#10625334—41no—
656#10625334—41no—
657#10625334—41no—
658(C2×D47)⋊C4—21no—
659(C2×D47)⋊C4—21no—
660(C2×D47)⋊C4—21no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674C4⋊Dic47—21no—
675C4⋊Dic47—21no—
676C4⋊Dic47—21no—
677C4⋊Dic47C2411yescharacteristic
678C4⋊Dic47C2411yescharacteristic
679C4⋊Dic47C2411yescharacteristic
680C4⋊Dic47C2411yescharacteristic
681Dic47⋊C4—21no—
682Dic47⋊C4—21no—
683Dic47⋊C4—21no—
684Dic47⋊C4—21no—
685Dic47⋊C4—21no—
686Dic47⋊C4—21no—
687Dic47⋊C4—21no—
688Dic47⋊C4—21no—
689C4×Dic47—21no—
690C4×Dic47—21no—
691C4×Dic47—21no—
692#10625329—41no—
693#10625329—41no—
694#10625329—41no—
695#10625329—41no—
696C2×C47⋊C8—41no—
697C2×C47⋊C8—41no—
698C2×C47⋊C8C2411yescharacteristic
699C2×C47⋊C8C2411yescharacteristic
700C2×C47⋊C8C2411yescharacteristic
701C2×C47⋊C8C2411yescharacteristic
702C2×C47⋊C8C2411yescharacteristic
703C2×C47⋊C8C2411yescharacteristic
704C2×C47⋊C8C2411yescharacteristic
705C2×C47⋊C8C2411yescharacteristic
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—81no—
710C23×C47—81no—
711C23×C47—81no—
712C23×C47C22×D411yescharacteristic
713C23×C47C22×D411yescharacteristic
714C23×C47C22×D411yescharacteristic
715C22×D47—21no—
716C22×D47—21no—
717C22×D47—21no—
718C22×D47—42no—
719C22×D47—42no—
720C22×D47—42no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47—81no—
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—21no—
727Q8×C47—21no—
728Q8×C47—21no—
729Q8×C47—21no—
730Q8×C47—41no—
731Q8×C47—81no—
732D4×C47—21no—
733D4×C47—21no—
734D4×C47—21no—
735D4×C47—21no—
736D4×C47—21no—
737D4×C47—21no—
738D4×C47—41no—
739D4×C47—41no—
740D4×C47—41no—
741D4×C47—81no—
742D4×C47—81no—
743D4×C47—81no—
744D4×C47—81no—
745D4×C47—81no—
746D4×C47—81no—
747D4×C47—81no—
748D4×C47—81no—
749D4×C47—81no—
750D4×C47—81no—
751D4×C47—81no—
752D4×C47—81no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—21no—
761C2×C4×C47—21no—
762C2×C4×C47—21no—
763C2×C4×C47—21no—
764C2×C4×C47—41no—
765C2×C4×C47—41no—
766C2×C4×C47—81no—
767C2×C4×C47—81no—
768C2×C4×C47—81no—
769C2×C4×C47—81no—
770C2×C4×C47—81no—
771C2×C4×C47—81no—
772C2×C4×C47—81no—
773C2×C4×C47—81no—
774C2×C4×C47C22×D411yescharacteristic
775C2×C4×C47C22×D411yescharacteristic
776C2×C4×C47C22×D411yescharacteristic
777C2×C4×C47C22×D411yescharacteristic
778C2×C4×C47C22×D411yescharacteristic
779C2×C4×C47C22×D411yescharacteristic
780C2×C4×C47C22×D411yescharacteristic
781C2×C4×C47C22×D411yescharacteristic
782C2×C4×C47C22×D411yescharacteristic
783C2×C4×C47C22×D411yescharacteristic
784C2×C4×C47C22×D411yescharacteristic
785C2×C4×C47C2511yescharacteristic
786C22⋊D47—42no—
787C22⋊D47—42no—
788C22⋊D47—81no—
789C22⋊D47—81no—
790C22⋊D47—81no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—42no—
797C2×Dic47—81no—
798D188—21no—
799D188—21no—
800D188—21no—
801D188—21no—
802D188—21no—
803D188—42no—
804D188—42no—
805D188—81no—
806D188—81no—
807D188H(5,𝔽2)12yes—
808C4×D47—42no—
809C4×D47—81no—
810C4×D47—81no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815C4×D47—81no—
816C4×D47—81no—
817Dic94—21no—
818Dic94—21no—
819Dic94—81no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823C47⋊C8—21no—
824C47⋊C8—21no—
825C47⋊C8—21no—
826C47⋊C8—21no—
827C47⋊C8—21no—
828#62027—471nomaximal, Sylow
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—162no—
848C22×C47C23×D411yescharacteristic
849C2×D47—22no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—84no—
859C2×D47—162no—
860C4×C47—21no—
861C4×C47—21no—
862C4×C47—21no—
863C4×C47—21no—
864C4×C47—21no—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—21no—
871C4×C47—41no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47C2×H(5,𝔽2)11yescharacteristic
877C4×C47#58511yescharacteristic
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882Dic47—41no—
883#3562D4711yescharacteristic, complemented
884#3513—471no—
885#3401—471no—
886#3396—471no—
887#3370—471no—
888#3360—471no—
889#3330—471no—
890#3327—471no—
891#3326—471no—
892#3317—471no—
893#3306—471no—
894#3297—471no—
895#3282—471no—
896#3274—471no—
897#3273—471no—
898#3273—471no—
899#3267—471no—
900#3265—471no—
901#3260—471no—
902#3257—471no—
903#3256—471no—
904#3225—471no—
905#3220—471no—
906#3212—471no—
907#3122—471no—
908#3120—471no—
909#3105—471no—
910#3045—471no—
911#3042—471no—
912#3036—471no—
913#2993—471no—
914C2×C47—41no—
915C2×C47—41no—
916C2×C47—41no—
917C2×C47—81no—
918C2×C47—81no—
919C2×C47—81no—
920C2×C47#348811yescharacteristic
921C2×C47#358411yescharacteristic
922C2×C47#358511yescharacteristic
923D47—42no—
924D47—81no—
925D47—81no—
926C2×AGL(1,ℤ/8)—471no—
927C2×AGL(1,ℤ/8)—471no—
928C2×AGL(1,ℤ/8)—471no—
929C2×AGL(1,ℤ/8)—471no—
930C2×#135—471no—
931C22×SD16—471no—
932#562—21no—
933#560—21no—
934#559—471no—
935#559C2×D4711yescharacteristic, complemented
936#556C2×D4711yescharacteristic, complemented
937#554—471no—
938#553—21no—
939#553—471no—
940#553—941no—
941#552—471no—
942#551—21no—
943#551—941no—
944#551—941no—
945#550C2×D4711yescharacteristic
946#548C2×D4711yescharacteristic
947#548C2×D4711yescharacteristic, complemented
948#547—471no—
949#547C2×D4711yescharacteristic, complemented
950#546—471no—
951#546—471no—
952#546—941no—
953#546C2×D4711yescharacteristic, complemented
954#546C2×D4711yescharacteristic, complemented
955D42—471no—
956#542—471no—
957#541C2×D4711yescharacteristic, complemented
958#540—21no—
959#540—471no—
960#540C2×D4711yescharacteristic, complemented
961#539—21no—
962#539—941no—
963#538—21no—
964#538—21no—
965#538—941no—
966#536C2×D4711yescharacteristic, complemented
967#535C2×D4711yescharacteristic, complemented
968#532C2×D4711yescharacteristic, complemented
969#529—471no—
970#529C2×D4711yescharacteristic
971#529C2×D4711yescharacteristic, complemented
972#525—941no—
973C2×#123—941no—
974#520—471no—
975#518—471no—
976C2×C4×D4—471no—
977#497—471no—
978#496—471no—
979#495—471no—
980#495—471no—
981#495—471no—
982#493—471no—
983#490—471no—
984#489—471no—
985#488—471no—
986#488—471no—
987#488—471no—
988#487—471no—
989#484—471no—
990#484—471no—
991#483—471no—
992#482—471no—
993#482—471no—
994#481—471no—
995#479—471no—
996#479—471no—
997#479—471no—
998#479—471no—
999#478—471no—
1000#478—471no—
1001#478—471no—
1002#478—471no—
1003#476—471no—
1004#474—471no—
1005#470—471no—
1006#469—471no—
1007#469—471no—
1008#468—471no—
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#466—471no—
1014#465—471no—
1015#465—471no—
1016#465—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#463—471no—
1021#463—471no—
1022#463—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
1031#463—471no—
1032#463—471no—
1033#462—471no—
1034#461—471no—
1035#461—471no—
1036#461—471no—
1037#461—471no—
1038#461—471no—
1039#460—471no—
1040#460—471no—
1041#460—471no—
1042#460—471no—
1043#459—471no—
1044#459—471no—
1045#459—471no—
1046#459—471no—
1047#452—471no—
1048#452—471no—
1049#452—471no—
1050#452—471no—
1051#452—471no—
1052#451—471no—
1053#450—471no—
1054#449—471no—
1055#449—471no—
1056#449—471no—
1057#449—471no—
1058#449—471no—
1059#448—471no—
1060#447—471no—
1061#447—471no—
1062#447—471no—
1063#447—471no—
1064#447—471no—
1065#446—471no—
1066C8×Q8—471no—
1067#442—471no—
1068#442—471no—
1069#441—471no—
1070#440—471no—
1071C4×Q16—471no—
1072C4×SD16—471no—
1073C4×SD16—471no—
1074C4×SD16—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079#436—471no—
1080#436—471no—
1081#436—471no—
1082#435—471no—
1083#435—471no—
1084C8×D4—471no—
1085#433—471no—
1086#433—471no—
1087#431—471no—
1088#424—471no—
1089#424—471no—
1090#423—471no—
1091#419—471no—
1092#417—471no—
1093#417—471no—
1094#417—471no—
1095#416—471no—
1096C2×#102—471no—
1097C47#6202711yescharacteristic, complemented, Sylow
1098C2×#41—471no—
1099C2×#41—941no—
1100C2×#41C22×D4711yescharacteristic
1101C2×#41C22×D4711yescharacteristic
1102C2×#41C22×D4711yescharacteristic
1103C2×#41C22×D4711yescharacteristic
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—941no—
1108C22×D4C22×D4711yescharacteristic
1109C23×C4—941no—
1110AGL(1,ℤ/8)—1882no—
1111AGL(1,ℤ/8)—1882no—
1112AGL(1,ℤ/8)—1882no—
1113AGL(1,ℤ/8)—1882no—
1114#135—1882no—
1115C2×Q16—471no—
1116C2×Q16—471no—
1117C2×Q16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—471no—
1126C2×SD16—471no—
1127C2×SD16—471no—
1128C2×SD16—471no—
1129C2×SD16—471no—
1130C2×SD16—1882no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—471no—
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8—471no—
1140C2×M16—471no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C22×C8—471no—
1145C22×C8—471no—
1146C4⋊Q8—471no—
1147C4⋊Q8C22×D4711yescharacteristic
1148C4⋊Q8C22×D4711yescharacteristic
1149#127—21no—
1150#127—471no—
1151#127C22×D4711yescharacteristic
1152#127C22×D4711yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126C22⋊D4711yescharacteristic
1163#126C22⋊D4711yescharacteristic
1164#125—21no—
1165#125—21no—
1166#125—471no—
1167#125—471no—
1168#125—941no—
1169#125C22⋊D4711yescharacteristic
1170#125C22×D4711yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—471no—
1175#124—471no—
1176#124—941no—
1177#124—941no—
1178#124C22⋊D4711yescharacteristic
1179#124C22×D4711yescharacteristic
1180#124C22×D4711yescharacteristic
1181#124C22×D4711yescharacteristic
1182#124C22×D4711yescharacteristic
1183#124C22×D4711yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202#123—941no—
1203#123—941no—
1204#123—941no—
1205#123—941no—
1206#123—941no—
1207#123C22⋊D4711yescharacteristic
1208#123C22⋊D4711yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—471no—
1215C22⋊Q8—471no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8—941no—
1221C22⋊Q8C22⋊D4711yescharacteristic
1222C22⋊Q8C22×D4711yescharacteristic
1223C22⋊Q8C22×D4711yescharacteristic
1224C22⋊Q8C22×D4711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—471no—
1239#121—471no—
1240#121—471no—
1241#121—471no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121C22⋊D4711yescharacteristic
1249#121C22×D4711yescharacteristic
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8C22×D4711yescharacteristic
1263C4×Q8C22×D4711yescharacteristic
1264C4×Q8C22×D4711yescharacteristic
1265C4×Q8C22×D4711yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—471no—
1278C4×D4—471no—
1279C4×D4—471no—
1280C4×D4—471no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4C22×D4711yescharacteristic
1291C4×D4C22×D4711yescharacteristic
1292C4×D4C22×D4711yescharacteristic
1293C4×D4C22×D4711yescharacteristic
1294C4×D4C22×D4711yescharacteristic
1295C4×D4C22×D4711yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—471no—
1299#117—941no—
1300#117—941no—
1301#117—941no—
1302#117C22×D4711yescharacteristic
1303#117C22×D4711yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—471no—
1306C2×C4⋊C4—471no—
1307C2×C4⋊C4—941no—
1308C2×C4⋊C4—941no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—941no—
1312C2×C22⋊C4—941no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C42C22×D4711yescharacteristic
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#107—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106—471no—
1325C4⋊C8—471no—
1326C4⋊C8—471no—
1327C4⋊C8—471no—
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334C4⋊C8—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103—471no—
1346#103—471no—
1347#103—471no—
1348#103—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
1363#102—471no—
1364#102—471no—
1365#102—471no—
1366#102—471no—
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8—471no—
1372C22⋊C8—471no—
1373#97—471no—
1374#97—471no—
1375C4×C8—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C24—21no—
1380C24—941no—
1381C24—941no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—942no—
1391#41—3762no—
1392#41—1881no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—471no—
1397C2×Q8—941no—
1398C2×Q8C2×C22⋊D4711yescharacteristic
1399C2×Q8C23×D4711yescharacteristic
1400C2×Q8C23×D4711yescharacteristic
1401C2×Q8C23×D4711yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—471no—
1417C2×D4—471no—
1418C2×D4—471no—
1419C2×D4—942no—
1420C2×D4—942no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—941no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—3762no—
1431C2×D4—1881no—
1432C2×D4—1881no—
1433C2×D4C2×C22⋊D4711yescharacteristic
1434C2×D4C2×C22⋊D4711yescharacteristic
1435C2×D4C2×C22⋊D4711yescharacteristic
1436C2×D4C23×D4711yescharacteristic
1437C2×D4C23×D4711yescharacteristic
1438C2×D4C23×D4711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—941no—
1451C22×C4—941no—
1452C22×C4—941no—
1453C22×C4—941no—
1454C22×C4—941no—
1455C22×C4—941no—
1456C22×C4—941no—
1457C22×C4—941no—
1458C22×C4—3762no—
1459C22×C4C2×C22⋊D4711yescharacteristic
1460C22×C4C2×C22⋊D4711yescharacteristic
1461C22×C4C23×D4711yescharacteristic
1462C22×C4C23×D4711yescharacteristic
1463C22×C4C23×D4711yescharacteristic
1464Q16—1881no—
1465Q16—1881no—
1466Q16—1881no—
1467SD16—942no—
1468SD16—942no—
1469SD16—942no—
1470SD16—1881no—
1471SD16—1881no—
1472SD16—1881no—
1473SD16—1881no—
1474SD16—1881no—
1475SD16—1881no—
1476SD16—1881no—
1477SD16—1881no—
1478SD16—1881no—
1479D8—942no—
1480D8—942no—
1481D8—942no—
1482D8—1881no—
1483D8—1881no—
1484D8—1881no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488M16—1881no—
1489M16—1881no—
1490M16—1881no—
1491M16—1881no—
1492C2×C8—471no—
1493C2×C8—471no—
1494C2×C8—471no—
1495C2×C8—471no—
1496C2×C8—471no—
1497C2×C8—471no—
1498C2×C8—471no—
1499C2×C8—471no—
1500C2×C8—1881no—
1501C2×C8—1881no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4C2×C22⋊D4711yescharacteristic
1530C4⋊C4C2×C22⋊D4711yescharacteristic
1531C4⋊C4C2×C22⋊D4711yescharacteristic
1532C4⋊C4C2×C22⋊D4711yescharacteristic
1533C4⋊C4C2×C22⋊D4711yescharacteristic
1534C4⋊C4C2×C22⋊D4711yescharacteristic
1535C4⋊C4C2×C22⋊D4711yescharacteristic
1536C4⋊C4C2×C22⋊D4711yescharacteristic
1537C4⋊C4C2×C22⋊D4711yescharacteristic
1538C4⋊C4C2×C22⋊D4711yescharacteristic
1539C4⋊C4C23×D4711yescharacteristic
1540C4⋊C4C23×D4711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4C2×C22⋊D4711yescharacteristic
1580C22⋊C4C2×C22⋊D4711yescharacteristic
1581C22⋊C4C2×C22⋊D4711yescharacteristic
1582C22⋊C4C2×C22⋊D4711yescharacteristic
1583C22⋊C4C2×C22⋊D4711yescharacteristic
1584C22⋊C4C2×C22⋊D4711yescharacteristic
1585C22⋊C4C2×C22⋊D4711yescharacteristic
1586C22⋊C4C2×C22⋊D4711yescharacteristic
1587C22⋊C4C2×C22⋊D4711yescharacteristic
1588C22⋊C4C2×C22⋊D4711yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—941no—
1593C42—941no—
1594C42—941no—
1595C42C2×C22⋊D4711yescharacteristic
1596C42C2×C22⋊D4711yescharacteristic
1597C42C23×D4711yescharacteristic
1598C42C23×D4711yescharacteristic
1599C42C23×D4711yescharacteristic
1600C42C23×D4711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—941no—
1608C23—941no—
1609C23—941no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—1882no—
1614C23—1882no—
1615C23—1882no—
1616C23C22×C22⋊D4711yescharacteristic
1617C23C22×C22⋊D4711yescharacteristic
1618C23C22×C22⋊D4711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—41no—
1626Q8—81no—
1627Q8—941no—
1628Q8—941no—
1629Q8—3761no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—41no—
1638D4—41no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—472no—
1652D4—941no—
1653D4—941no—
1654D4—941no—
1655D4—941no—
1656D4—941no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—3761no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4—1882no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—3761no—
1693C2×C4—3761no—
1694C2×C4—3761no—
1695C2×C4—3761no—
1696C2×C4—3761no—
1697C2×C4—3761no—
1698C2×C4—3761no—
1699C2×C4—3761no—
1700C2×C4—3761no—
1701C2×C4—1882no—
1702C2×C4—1882no—
1703C2×C4C22×C22⋊D4711yescharacteristic
1704C2×C4C22×C22⋊D4711yescharacteristic
1705C2×C4C22×C22⋊D4711yescharacteristic
1706C2×C4C22×C22⋊D4711yescharacteristic
1707C2×C4C22×C22⋊D4711yescharacteristic
1708C2×C4C22×C22⋊D4711yescharacteristic
1709C2×C4C22×C22⋊D4711yescharacteristic
1710C2×C4C22×C22⋊D4711yescharacteristic
1711C2×C4C22×C22⋊D4711yescharacteristic
1712C2×C4C22×C22⋊D4711yescharacteristic
1713C2×C4C22×C22⋊D4711yescharacteristic
1714C2×C4C24×D4711yescharacteristic
1715C8—941no—
1716C8—941no—
1717C8—941no—
1718C8—941no—
1719C8—941no—
1720C8—941no—
1721C8—941no—
1722C8—941no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—942no—
1743C22—3764no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—7522no—
1753C22C23×C22⋊D4711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4H(5,𝔽2)×D4711yescharacteristic
1776C4#1568995811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—3761no—
1784C2—3761no—
1785C2—1882no—
1786C2#2025705011yescharacteristic
1787C2#2025815911yescharacteristic
1788C2#2025816711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3562C2
socleC22×C47C23×D4
hypercenter#3562D47
hypocenterC47#62027
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #529 ◁ #3562

Complements

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

NH ≅ G/Ntype
1. #20257332C2semidirect
2. #20256454C2semidirect
3. #20256396C2semidirect
4. #20256135C2semidirect
5. #20256033C2semidirect
6. #20255693C2semidirect
7. #20255656C2semidirect
8. #20255641C2semidirect
9. #20255514C2semidirect
10. #20255349C2semidirect
11. #20255238C2semidirect
12. #20255096C2semidirect
13. #20255008C2semidirect
14. #20254995C2semidirect
15. #20254995C2semidirect
16. #20254914C2semidirect
17. #20254884C2semidirect
18. #20254829C2semidirect
19. #20254793C2semidirect
20. #20254784C2semidirect
21. #20254497C2semidirect
22. #20254438C2semidirect
23. #20254364C2semidirect
24. #20253626C2semidirect
25. #20253596C2semidirect
26. #20253431C2semidirect
27. #20252923C2semidirect
28. #20252896C2semidirect
29. #20252848C2semidirect
30. #20252537C2semidirect
31. C47×#3562C2semidirect
35. C2×#13094049C22semidirect
37. C22×#10625336C22semidirect
38. #15689858C22semidirect
39. #15689833C22semidirect
42. #15689813C22semidirect
49. D4×D188C22semidirect
50. #15689744C22semidirect
54. #15689657C22semidirect
58. #15689597C22semidirect
59. C2×C4×D188C22semidirect
60. #15689515C22semidirect
62. #15689505C22semidirect
63. #15689505C22semidirect
64. #15689505C22semidirect
66. #15689487C22semidirect
67. #15689482C22semidirect
68. #15689477C22semidirect
69. #15689477C22semidirect
70. #15689477C22semidirect
71. #15689473C22semidirect
72. #15689456C22semidirect
73. #15689456C22semidirect
74. #15689451C22semidirect
75. #15689444C22semidirect
76. #15689444C22semidirect
77. #15689439C22semidirect
78. #15689430C22semidirect
79. #15689430C22semidirect
80. #15689430C22semidirect
81. #15689427C22semidirect
82. #15689423C22semidirect
83. #15689420C22semidirect
84. #15689420C22semidirect
85. #15689420C22semidirect
86. #15689413C22semidirect
87. #15689403C22semidirect
88. #15689379C22semidirect
90. #15689374C22semidirect
91. #15689371C22semidirect
92. #15689371C22semidirect
93. #15689371C22semidirect
94. #15689367C22semidirect
95. #15689367C22semidirect
97. #15689354C22semidirect
98. #15689354C22semidirect
99. #15689350C22semidirect
100. #15689345C22semidirect
101. #15689342C22semidirect
102. #15689342C22semidirect
103. #15689338C22semidirect
104. #15689338C22semidirect
105. #15689338C22semidirect
110. #15689335C22semidirect
111. #15689335C22semidirect
112. #15689335C22semidirect
113. #15689335C22semidirect
114. #15689335C22semidirect
115. #15689335C22semidirect
116. #15689330C22semidirect
117. #15689325C22semidirect
118. #15689325C22semidirect
119. #15689325C22semidirect
120. #15689325C22semidirect
121. #15689325C22semidirect
122. #15689323C22semidirect
123. #15689323C22semidirect
124. #15689320C22semidirect
125. #15689320C22semidirect
128. #15689315C22semidirect
129. #15689315C22semidirect
130. #15689285C22semidirect
131. #15689285C22semidirect
132. #15689285C22semidirect
135. #15689279C22semidirect
136. #15689273C22semidirect
139. #15689268C22semidirect
140. #15689268C22semidirect
141. #15689268C22semidirect
142. #15689262C22semidirect
143. #15689257C22semidirect
144. #15689257C22semidirect
147. #15689256C22semidirect
148. #15689254C22semidirect
149. Q8×C47⋊C8C22semidirect
150. #15689233C22semidirect
151. #15689233C22semidirect
152. #15689228C22semidirect
153. #15689221C22semidirect
154. C4×#10625337C22semidirect
155. C4×#10625336C22semidirect
156. C4×#10625336C22semidirect
157. C4×#10625336C22semidirect
160. C4×#10625334C22semidirect
161. C4×#10625334C22semidirect
162. #15689201C22semidirect
163. #15689201C22semidirect
164. #15689201C22semidirect
165. #15689195C22semidirect
166. #15689195C22semidirect
167. D4×C47⋊C8C22semidirect
168. #15689184C22semidirect
169. #15689184C22semidirect
170. #15689176C22semidirect
171. #15689150C22semidirect
172. #15689150C22semidirect
173. #15689147C22semidirect
174. #15689132C22semidirect
175. #15689124C22semidirect
176. #15689124C22semidirect
177. #15689124C22semidirect
178. #15689119C22semidirect
179. C2×#13093945C22semidirect
182. C47×#559C22semidirect
183. C47×#556C22semidirect
188. C47×#548C22semidirect
189. C47×#547C22semidirect
190. C47×#546C22semidirect
191. C47×#546C22semidirect
192. C47×#541C22semidirect
194. C47×#540C22semidirect
198. C47×#536C22semidirect
199. C47×#535C22semidirect
200. C47×#532C22semidirect
202. C47×#529C22semidirect
883. #3562D47semidirect
935. #559C2×D47semidirect
936. #556C2×D47semidirect
947. #548C2×D47semidirect
949. #547C2×D47semidirect
953. #546C2×D47semidirect
954. #546C2×D47semidirect
957. #541C2×D47semidirect
960. #540C2×D47semidirect
966. #536C2×D47semidirect
967. #535C2×D47semidirect
968. #532C2×D47semidirect
971. #529C2×D47semidirect
1097. C47#62027semidirect

Maximal subgroups

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

subgroupindex
#202573322
#202564542
#202563962
#202561352
#202560332
#202556932
#202556562
#202556412
#202555142
#202553492
#202552382
#202550962
#202550082
#202549952
#202549142
#202548842
#202548292
#202547932
#202547842
#202544972
#202544382
#202543642
#202536262
#202535962
#202534312
#202529232
#202528962
#202528482
#202525372
C47×#35622
#6202747