Finite Group Databasebeta

← #27089353

Subgroups — #27089353

Order 12032.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257260C211yesmaximal, characteristic, complemented
2#20256808C211yesmaximal, characteristic, complemented
3#20254827C211yesmaximal, characteristic, complemented
4#20254826C211yesmaximal, characteristic, complemented
5#20254825C211yesmaximal, characteristic, complemented
6#20254823C211yesmaximal, characteristic, complemented
7#20254805C211yesmaximal, characteristic, complemented
8#20254799C211yesmaximal, characteristic, complemented
9#20254797C211yesmaximal, characteristic, complemented
10#20254768C211yesmaximal, characteristic, complemented
11#20254765C211yesmaximal, characteristic, complemented
12#20254747C211yesmaximal, characteristic, complemented
13#20254745C211yesmaximal, characteristic, complemented
14#20254711C211yesmaximal, characteristic, complemented
15#20254709C211yesmaximal, characteristic, complemented
16#20254697C211yesmaximal, characteristic, complemented
17#20254694C211yesmaximal, characteristic, complemented
18#20253214C211yesmaximal, characteristic, complemented
19#20253212C211yesmaximal, characteristic, complemented
20#20253183C211yesmaximal, characteristic, complemented
21#20253175C211yesmaximal, characteristic, complemented
22#20253063C211yesmaximal, characteristic, complemented
23#20253061C211yesmaximal, characteristic, complemented
24#20253034C211yesmaximal, characteristic, complemented
25#20253031C211yesmaximal, characteristic, complemented
26#20252889C211yesmaximal, characteristic, complemented
27#20252889C211yesmaximal, characteristic, complemented
28#20252865C211yesmaximal, characteristic, complemented
29#459×D47C211yesmaximal, characteristic, complemented
30#20251955C211yesmaximal, characteristic, complemented
31C47×#3257C211yesmaximal, characteristic, complemented
32C2×#13094051C2211yescharacteristic
33C2×#13094051C2211yescharacteristic
34C2×D8×D47C2211yescharacteristic
35C2×D8×D47C2211yescharacteristic
36C2×#13094032C2211yescharacteristic
37C2×#13094030C2211yescharacteristic
38#15689857—21no—
39#15689857—21no—
40#15689791—21no—
41#15689791—21no—
42#15689765—21no—
43#15689765—21no—
44#15689762—21no—
45#15689762—21no—
46#15689750C2211yescharacteristic
47#15689745C2211yescharacteristic, complemented
48#15689743—21no—
49#15689729C2211yescharacteristic, complemented
50#15689728C2211yescharacteristic, complemented
51#15689728C2211yescharacteristic, complemented
52#15689727C2211yescharacteristic, complemented
53#15689725—21no—
54#15689724C2211yescharacteristic, complemented
55#15689712—21no—
56#15689707—21no—
57#15689703C2211yescharacteristic
58#15689691C2211yescharacteristic
59#15689689C2211yescharacteristic
60#15689689C2211yescharacteristic
61#15689689C2211yescharacteristic
62#15689679C2211yescharacteristic
63#15689674C2211yescharacteristic, complemented
64#15689672—21no—
65#15689670C2211yescharacteristic, complemented
66#15689670C2211yescharacteristic, complemented
67#15689668C2211yescharacteristic, complemented
68#15689668C2211yescharacteristic, complemented
69#15689668C2211yescharacteristic, complemented
70#127×D47C2211yescharacteristic
71#15689659C2211yescharacteristic, complemented
72#15689656—21no—
73#15689652C2211yescharacteristic, complemented
74#15689636—21no—
75#15689631—21no—
76#15689595C2211yescharacteristic
77#15689595C2211yescharacteristic
78C4×#10625354C2211yescharacteristic
79#15689591C2211yescharacteristic
80C4×D4×D47C2211yescharacteristic
81#15689430C2211yescharacteristic, complemented
82#15689426C2211yescharacteristic, complemented
83#15689425C2211yescharacteristic, complemented
84#15689424C2211yescharacteristic, complemented
85#15689424C2211yescharacteristic, complemented
86#15689424C2211yescharacteristic, complemented
87#15689424C2211yescharacteristic, complemented
88#15689423C2211yescharacteristic, complemented
89#15689423C2211yescharacteristic, complemented
90#15689423C2211yescharacteristic, complemented
91#15689422C2211yescharacteristic, complemented
92#15689421C2211yescharacteristic, complemented
93#15689420C2211yescharacteristic, complemented
94#15689420C2211yescharacteristic, complemented
95#15689416C2211yescharacteristic, complemented
96#15689412C2211yescharacteristic, complemented
97#15689412C2211yescharacteristic, complemented
98#15689412C2211yescharacteristic, complemented
99#15689411C2211yescharacteristic, complemented
100#15689411C2211yescharacteristic, complemented
101#15689410C2211yescharacteristic, complemented
102#15689406C2211yescharacteristic, complemented
103#15689402C2211yescharacteristic, complemented
104#15689402C2211yescharacteristic, complemented
105#15689402C2211yescharacteristic, complemented
106#15689401C2211yescharacteristic, complemented
107#15689401C2211yescharacteristic, complemented
108#15689400C2211yescharacteristic, complemented
109#15689377C2211yescharacteristic, complemented
110#15689377C2211yescharacteristic, complemented
111#15689376C2211yescharacteristic, complemented
112#15689376C2211yescharacteristic, complemented
113#15689375C2211yescharacteristic, complemented
114#15689375C2211yescharacteristic, complemented
115#15689375C2211yescharacteristic, complemented
116#15689374C2211yescharacteristic, complemented
117#15689374C2211yescharacteristic, complemented
118#15689374C2211yescharacteristic, complemented
119#15689373C2211yescharacteristic, complemented
120#15689372C2211yescharacteristic, complemented
121#15689371C2211yescharacteristic, complemented
122#15689366C2211yescharacteristic, complemented
123#15689360C2211yescharacteristic, complemented
124#15689360C2211yescharacteristic, complemented
125#15689359C2211yescharacteristic, complemented
126#15689359C2211yescharacteristic, complemented
127#15689358C2211yescharacteristic, complemented
128#15689358C2211yescharacteristic, complemented
129#15689358C2211yescharacteristic, complemented
130#15689357C2211yescharacteristic, complemented
131#15689357C2211yescharacteristic, complemented
132#15689357C2211yescharacteristic, complemented
133#15689356C2211yescharacteristic, complemented
134#15689355C2211yescharacteristic, complemented
135#15689354C2211yescharacteristic, complemented
136#15689349C2211yescharacteristic, complemented
137#15689341C2211yescharacteristic, complemented
138#15689341C2211yescharacteristic, complemented
139#15689340C2211yescharacteristic, complemented
140#15689340C2211yescharacteristic, complemented
141#15689335C2211yescharacteristic, complemented
142#15689335C2211yescharacteristic, complemented
143#15689323C2211yescharacteristic, complemented
144#15689321C2211yescharacteristic, complemented
145#15689321C2211yescharacteristic, complemented
146#15689319C2211yescharacteristic
147#15689319C2211yescharacteristic, complemented
148#15689319C2211yescharacteristic, complemented
149#15689319C2211yescharacteristic, complemented
150#15689318C2211yescharacteristic
151#15689318C2211yescharacteristic, complemented
152#15689318C2211yescharacteristic, complemented
153#15689317C2211yescharacteristic
154#15689317C2211yescharacteristic
155#15689317C2211yescharacteristic, complemented
156#15689317C2211yescharacteristic, complemented
157#15689317C2211yescharacteristic, complemented
158#15689317C2211yescharacteristic, complemented
159#15689316C2211yescharacteristic
160#15689316C2211yescharacteristic
161#15689316C2211yescharacteristic, complemented
162#15689316C2211yescharacteristic, complemented
163#15689315C2211yescharacteristic
164#15689315C2211yescharacteristic, complemented
165#15689164C2211yescharacteristic
166#15689162C2211yescharacteristic
167#15689160C2211yescharacteristic
168#15689158C2211yescharacteristic
169#15689150C2211yescharacteristic, complemented
170#15689148C2211yescharacteristic
171#15689148C2211yescharacteristic
172#15689148C2211yescharacteristic, complemented
173#15689148C2211yescharacteristic, complemented
174#15689146C2211yescharacteristic, complemented
175#15689145C2211yescharacteristic
176#15689145C2211yescharacteristic, complemented
177C2×Dic47⋊C8C2211yescharacteristic, complemented
178C4⋊C8×D47C2211yescharacteristic
179C4⋊C8×D47C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic
181#15689126C2211yescharacteristic
182#15689126C2211yescharacteristic
183#15689126C2211yescharacteristic
184#15689118C2211yescharacteristic
185#15689118C2211yescharacteristic
186#102×D47C2211yescharacteristic
187#102×D47C2211yescharacteristic
188C47×#542C2211yescharacteristic, complemented
189C47×#540C2211yescharacteristic, complemented
190C47×#479C2211yescharacteristic, complemented
191C47×#478C2211yescharacteristic, complemented
192C47×#476C2211yescharacteristic, complemented
193C47×#474C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#466C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#463C2211yescharacteristic, complemented
199C47×#463C2211yescharacteristic, complemented
200C47×#460C2211yescharacteristic, complemented
201C47×#459C2211yescharacteristic
202C47×#424C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350C2311yescharacteristic
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352—21no—
211C2×D4×D47—21no—
212C2×D4×D47—21no—
213C2×D4×D47C2311yescharacteristic
214C2×D4×D47C2311yescharacteristic
215C2×D4×D47C2311yescharacteristic
216C22×C4×D47—21no—
217#13094051—42no—
218#13094051—42no—
219C2×#10625336C2311yescharacteristic
220C2×#10625336C2311yescharacteristic
221C2×D376C2311yescharacteristic
222C2×D376C2311yescharacteristic
223C2×D376C2311yescharacteristic
224C2×D376C2311yescharacteristic
225C2×#10625334C2311yescharacteristic
226C2×#10625334C2311yescharacteristic
227C2×#10625334C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625334C2311yescharacteristic
231D8×D47—42no—
232D8×D47—42no—
233#13094032—42no—
234#13094030—42no—
235C2×#10625329C2311yescharacteristic
236C2×#10625324C2311yescharacteristic
237C2×#10625324C2311yescharacteristic
238C2×#10625324C2311yescharacteristic
239C2×#10625324C2311yescharacteristic
240C22×C47⋊C8C2311yescharacteristic
241C2×C8×D47C2311yescharacteristic
242C2×C8×D47C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245#13094023C2311yescharacteristic
246#13094023C2311yescharacteristic
247#13094023C2311yescharacteristic
248#13094022—21no—
249#13094021C2311yescharacteristic
250#13094021C2311yescharacteristic
251#13094020—21no—
252#13094020—21no—
253#13094020—21no—
254#13094020—21no—
255#13094020—21no—
256#13094020C2311yescharacteristic
257#13094020C2311yescharacteristic
258#13094020C2311yescharacteristic
259#13094019—21no—
260#13094018—21no—
261#13094017—21no—
262#13094016C2311yescharacteristic
263#13094016C2311yescharacteristic
264#13094015C2311yescharacteristic
265#13094014—21no—
266#13094013—21no—
267#13094013C2311yescharacteristic
268#13094012—21no—
269#13094010—21no—
270#13094010—21no—
271#13094010—21no—
272#13094010—21no—
273#13094010—21no—
274#13094010—21no—
275#13094010—21no—
276#13094010—21no—
277#13094009—21no—
278#13094009—21no—
279#13094009—21no—
280#13094009—21no—
281#13094009—21no—
282#13094009—21no—
283#13094009—21no—
284#13094008—21no—
285#13094007—21no—
286#13094006—21no—
287#13094006—21no—
288#13094005—21no—
289#13094005—21no—
290#13094002—21no—
291#13094002—21no—
292#13094002—21no—
293#13094002—21no—
294#13094002—21no—
295#13094000—21no—
296#13094000C2311yescharacteristic
297#13093999—21no—
298#13093999—21no—
299#13093999—21no—
300#13093999—21no—
301#13093999C2311yescharacteristic
302#13093999C2311yescharacteristic
303#13093999C2311yescharacteristic
304#13093999C2311yescharacteristic
305#13093998—21no—
306#13093998C2311yescharacteristic
307#13093998C2311yescharacteristic
308#13093998C2311yescharacteristic
309#13093998C2311yescharacteristic
310#13093997—21no—
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093996—21no—
322#13093996—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093995C2311yescharacteristic
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093994—21no—
330#13093994—21no—
331#13093994—21no—
332#13093994—21no—
333#13093994—21no—
334#13093992—21no—
335#13093992—21no—
336#13093992—21no—
337Q8×Dic47C2311yescharacteristic
338#13093989—21no—
339#13093989—21no—
340#13093989D411yescharacteristic
341#13093989D411yescharacteristic
342C4×D188—21no—
343C4×D188C2311yescharacteristic
344C4×D188C2311yescharacteristic
345C4×D188C2311yescharacteristic
346C4×D188C2311yescharacteristic
347D4×Dic47C2311yescharacteristic
348D4×Dic47C2311yescharacteristic
349D4×Dic47C2311yescharacteristic
350#13093986—21no—
351#13093986—21no—
352#13093986D411yescharacteristic
353#13093986D411yescharacteristic
354#13093986C2311yescharacteristic
355#13093986C2311yescharacteristic
356#13093986C2311yescharacteristic
357#13093986C2311yescharacteristic
358C4×C22⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363(C22⋊D47)⋊C4—21no—
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369(C22⋊D47)⋊C4—21no—
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4D411yescharacteristic
372(C22⋊D47)⋊C4D411yescharacteristic
373(C22⋊D47)⋊C4D411yescharacteristic
374(C22⋊D47)⋊C4D411yescharacteristic
375#13093982—21no—
376#13093982—21no—
377#13093982C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093982C2311yescharacteristic
380#13093981C2311yescharacteristic
381#13093981C2311yescharacteristic
382#13093980—21no—
383C4⋊C4×D47C2311yescharacteristic
384C2×(C2×D47)⋊C4—21no—
385C2×(C2×D47)⋊C4—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47—21no—
388C22⋊C4×D47—21no—
389C2×C4×Dic47C2311yescharacteristic
390C42×D47—21no—
391C42×D47C2311yescharacteristic
392C42×D47C2311yescharacteristic
393#13093958C2311yescharacteristic
394#13093958C2311yescharacteristic
395#13093957C2311yescharacteristic
396#13093957C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403#13093955C2311yescharacteristic
404#13093955C2311yescharacteristic
405C4⋊(C47⋊C8)C2311yescharacteristic
406C4⋊(C47⋊C8)C2311yescharacteristic
407C4⋊(C47⋊C8)C2311yescharacteristic
408C4⋊(C47⋊C8)C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412Dic47⋊C8C2311yescharacteristic
413Dic47⋊C8C2311yescharacteristic
414Dic47⋊C8C2311yescharacteristic
415Dic47⋊C8C2311yescharacteristic
416Dic47⋊C8C2311yescharacteristic
417#13093948C2311yescharacteristic
418#13093948C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093945C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435#13093944C2311yescharacteristic
436#13093944C2311yescharacteristic
437#13093944C2311yescharacteristic
438#13093944C2311yescharacteristic
439#13093944C2311yescharacteristic
440#13093944C2311yescharacteristic
441C2×SD16×C47C2311yescharacteristic
442C2×SD16×C47C2311yescharacteristic
443C2×D8×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×M16×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447C4⋊Q8×C47C2311yescharacteristic
448#127×C47C2311yescharacteristic
449#126×C47—21no—
450#125×C47C2311yescharacteristic
451#124×C47—21no—
452#124×C47C2311yescharacteristic
453#123×C47—21no—
454#123×C47—21no—
455#123×C47—21no—
456C22⋊Q8×C47—21no—
457C22⋊Q8×C47C2311yescharacteristic
458#121×C47—21no—
459#121×C47—21no—
460#121×C47C2311yescharacteristic
461#121×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463C4×Q8×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467#117×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#107×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471#106×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C4⋊C8×C47C2311yescharacteristic
475C4⋊C8×C47C2311yescharacteristic
476#103×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47—21no—
487C2×Q8×C47—21no—
488C2×Q8×C47C2411yescharacteristic
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47—21no—
494C2×D4×C47C2411yescharacteristic
495C2×D4×C47C2411yescharacteristic
496C2×D4×C47C2411yescharacteristic
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47C2411yescharacteristic
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47C2×D411yescharacteristic
518C2×C22⋊D47C2×D411yescharacteristic
519C22×Dic47—21no—
520C22×Dic47—21no—
521C22×Dic47—21no—
522C22×Dic47C2×D411yescharacteristic
523C22×Dic47C2×D411yescharacteristic
524#10625354—22no—
525#10625354—22no—
526#10625354—82no—
527#10625352—82no—
528#10625352—82no—
529#10625352—82no—
530D4×D47—22no—
531D4×D47—22no—
532D4×D47—22no—
533D4×D47—22no—
534D4×D47—22no—
535D4×D47—22no—
536D4×D47—82no—
537D4×D47—82no—
538#10625350—22no—
539#10625350—22no—
540#10625350—82no—
541#10625350—82no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—21no—
545C2×D188—21no—
546C2×D188—21no—
547C2×D188—21no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188C2×D411yescharacteristic
552C2×D188C2411yescharacteristic
553C2×D188C2411yescharacteristic
554C2×D188C2411yescharacteristic
555C2×D188C2411yescharacteristic
556C2×C4×D47—21no—
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×C4×D47C2×D411yescharacteristic
568C2×C4×D47C2×D411yescharacteristic
569C2×C4×D47C2×D411yescharacteristic
570C2×C4×D47C2×D411yescharacteristic
571C2×C4×D47C2411yescharacteristic
572C2×C4×D47C2411yescharacteristic
573C2×Dic94—21no—
574C2×Dic94—21no—
575C2×Dic94—21no—
576C2×Dic94C2×D411yescharacteristic
577SD16×C47—41no—
578SD16×C47—41no—
579D8×C47—41no—
580D8×C47—41no—
581M16×C47—41no—
582C2×C8×C47—41no—
583C2×C8×C47C2411yescharacteristic
584C2×C8×C47C2411yescharacteristic
585C2×C8×C47C2411yescharacteristic
586C2×C8×C47C2411yescharacteristic
587C4⋊C4×C47—21no—
588C4⋊C4×C47—21no—
589C4⋊C4×C47—21no—
590C4⋊C4×C47—21no—
591C4⋊C4×C47—21no—
592C4⋊C4×C47C2×D411yescharacteristic
593C4⋊C4×C47C2×D411yescharacteristic
594C4⋊C4×C47C2411yescharacteristic
595C4⋊C4×C47C2411yescharacteristic
596C4⋊C4×C47C2411yescharacteristic
597C4⋊C4×C47C2411yescharacteristic
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×C47C2×D411yescharacteristic
608C22⋊C4×C47C2×D411yescharacteristic
609C42×C47—21no—
610C42×C47C2411yescharacteristic
611C42×C47C2411yescharacteristic
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617C22⋊Dic47—21no—
618#10625336—41no—
619#10625336—41no—
620#10625334—41no—
621#10625334—41no—
622#10625334—41no—
623#10625334—41no—
624#10625334—41no—
625#10625334—41no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47C2411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656C4⋊Dic47C2411yescharacteristic
657C4⋊Dic47C2411yescharacteristic
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4C2×D411yescharacteristic
669Dic47⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671Dic47⋊C4C2×D411yescharacteristic
672C4×Dic47—21no—
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47C2×D411yescharacteristic
677C4×Dic47C2×D411yescharacteristic
678C4×Dic47C2×D411yescharacteristic
679C4×Dic47C2×D411yescharacteristic
680C4×Dic47C2×D411yescharacteristic
681C4×Dic47C2×D411yescharacteristic
682C4×Dic47C2411yescharacteristic
683C4×Dic47C2411yescharacteristic
684#10625329—41no—
685C2×C47⋊C8—41no—
686C2×C47⋊C8C2411yescharacteristic
687C2×C47⋊C8C2411yescharacteristic
688C2×C47⋊C8C2411yescharacteristic
689C2×C47⋊C8C2411yescharacteristic
690D376—41no—
691D376—41no—
692D376—41no—
693D376—41no—
694#10625324—22no—
695#10625324—22no—
696#10625324—41no—
697#10625324—41no—
698C8×D47—22no—
699C8×D47—22no—
700C8×D47—41no—
701C8×D47—41no—
702C23×C47—21no—
703C23×C47—21no—
704C23×C47—21no—
705C23×C47C22×D411yescharacteristic
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—42no—
711C22×D47—42no—
712C22×D47—42no—
713C22×D47—81no—
714C22×D47—81no—
715C22×D47—81no—
716C22×D47—81no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47C22×D411yescharacteristic
720C22×D47C22×D411yescharacteristic
721Q8×C47—21no—
722Q8×C47—21no—
723Q8×C47—81no—
724D4×C47—21no—
725D4×C47—21no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—81no—
731D4×C47—81no—
732D4×C47—81no—
733D4×C47—81no—
734D4×C47—81no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—81no—
743C2×C4×C47—81no—
744C2×C4×C47—81no—
745C2×C4×C47C22×D411yescharacteristic
746C2×C4×C47C22×D411yescharacteristic
747C2×C4×C47C22×D411yescharacteristic
748C2×C4×C47C22×D411yescharacteristic
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C2511yescharacteristic
751C22⋊D47—22no—
752C22⋊D47—22no—
753C22⋊D47—42no—
754C22⋊D47—42no—
755C22⋊D47—42no—
756C22⋊D47—42no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—42no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C2×Dic47—22no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—41no—
775C2×Dic47—42no—
776C2×Dic47—81no—
777C2×Dic47—81no—
778C2×Dic47C22×D411yescharacteristic
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784D188—22no—
785D188—21no—
786D188—21no—
787D188—21no—
788D188—21no—
789D188—21no—
790D188—21no—
791D188—21no—
792D188—21no—
793D188—42no—
794D188—81no—
795D188—81no—
796D188—81no—
797D188—81no—
798D188—81no—
799D188—81no—
800D188—81no—
801D188—81no—
802C4×D47—21no—
803C4×D47—21no—
804C4×D47—22no—
805C4×D47—22no—
806C4×D47—41no—
807C4×D47—41no—
808C4×D47—42no—
809C4×D47—42no—
810C4×D47—42no—
811C4×D47—81no—
812C4×D47—81no—
813C4×D47—81no—
814C4×D47—81no—
815C4×D47—81no—
816C4×D47—81no—
817C4×D47—81no—
818C4×D47H(5,𝔽2)12yes—
819C4×D472−1+412yes—
820Dic94—22no—
821Dic94—42no—
822Dic94—42no—
823Dic94—81no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47—21no—
828C47⋊C8—21no—
829C47⋊C8—21no—
830C47⋊C8—21no—
831C47⋊C8—21no—
832#60922—471nomaximal, Sylow
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47C23×D411yescharacteristic
846C2×D47—21no—
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—21no—
850C2×D47—21no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—84no—
864C2×D47—162no—
865C2×D47—162no—
866C2×D47#53712yes—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—21no—
870C4×C47—21no—
871C4×C47—21no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47C2×H(5,𝔽2)11yescharacteristic
878C4×C47C2×2−1+411yescharacteristic
879Dic47—21no—
880Dic47—21no—
881Dic47—21no—
882Dic47—21no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47—41no—
887Dic47#53712yes—
888Dic47#57612yes—
889#3508—471no—
890#3460—471no—
891#3259—471no—
892#3259—471no—
893#3259—471no—
894#3259—471no—
895#3257—471no—
896#3257—471no—
897#3257—471no—
898#3257D4711yescharacteristic, complemented
899#3253—471no—
900#3253—471no—
901#3251—471no—
902#3251—471no—
903#3247—471no—
904#3247—471no—
905#3245—471no—
906#3245—471no—
907#3081—471no—
908#3081—471no—
909#3077—471no—
910#3076—471no—
911#3062—471no—
912#3062—471no—
913#3058—471no—
914#3058—471no—
915#3041—471no—
916#3041—471no—
917#3038—471no—
918C2×#459—471no—
919#2906—471no—
920C2×C47—41no—
921C2×C47—81no—
922C2×C47—81no—
923C2×C47—81no—
924C2×C47C2×#53711yescharacteristic
925C2×C47C2×#57611yescharacteristic
926C2×C47#358511yescharacteristic
927D47—22no—
928D47—41no—
929D47—81no—
930D47—81no—
931D47—81no—
932D47—81no—
933C2×AGL(1,ℤ/8)—471no—
934C2×AGL(1,ℤ/8)—471no—
935C22×D8—471no—
936C22×D8—471no—
937C2×#131—471no—
938C2×#131—471no—
939#559—941no—
940#559—941no—
941#550—941no—
942#550—941no—
943#546—941no—
944#546—941no—
945#546—941no—
946#546—941no—
947#544—471no—
948#542—471no—
949#542—941no—
950#542C2×D4711yescharacteristic, complemented
951#540—471no—
952#540—471no—
953#540—471no—
954#540—471no—
955#540—471no—
956#540—941no—
957#540C2×D4711yescharacteristic, complemented
958#538—941no—
959#538—941no—
960#537—471no—
961#535—471no—
962#535—471no—
963#535—471no—
964#535—471no—
965#533—471no—
966#532—471no—
967#532—471no—
968#532—471no—
969#532—471no—
970#532—471no—
971#532—471no—
972#532—941no—
973C2×#127—471no—
974#529—471no—
975#529—471no—
976#529—941no—
977#525—941no—
978#525—941no—
979#518—471no—
980#518—471no—
981C4×#41—471no—
982C4×#41—471no—
983C2×C4×D4—471no—
984#479—471no—
985#479C2×D4711yescharacteristic, complemented
986#478—471no—
987#478—471no—
988#478—471no—
989#478—471no—
990#478—471no—
991#478—471no—
992#478—471no—
993#478—471no—
994#478—471no—
995#478—471no—
996#478—471no—
997#478—471no—
998#478—471no—
999#478C2×D4711yescharacteristic, complemented
1000#477—471no—
1001#476—471no—
1002#476—471no—
1003#476—471no—
1004#476—471no—
1005#476—471no—
1006#476—471no—
1007#476C2×D4711yescharacteristic, complemented
1008#475—471no—
1009#474—471no—
1010#474—471no—
1011#474—471no—
1012#474—471no—
1013#474—471no—
1014#474—471no—
1015#474C2×D4711yescharacteristic, complemented
1016#469—471no—
1017#469—471no—
1018#469—471no—
1019#469—471no—
1020#469—471no—
1021#469—471no—
1022#469—471no—
1023#469—471no—
1024#469—471no—
1025#469—471no—
1026#469—471no—
1027#469C2×D4711yescharacteristic, complemented
1028#468—471no—
1029#468—471no—
1030#468—471no—
1031#468C2×D4711yescharacteristic, complemented
1032#466—471no—
1033#466—471no—
1034#466—471no—
1035#466—471no—
1036#466—471no—
1037#466—471no—
1038#466—471no—
1039#466—471no—
1040#466—471no—
1041#466—471no—
1042#466—471no—
1043#466C2×D4711yescharacteristic, complemented
1044#465—471no—
1045#465—471no—
1046#465—471no—
1047#465C2×D4711yescharacteristic, complemented
1048#463—471no—
1049#463—471no—
1050#463—471no—
1051#463—471no—
1052#463—471no—
1053#463—471no—
1054#463C2×D4711yescharacteristic, complemented
1055#463C2×D4711yescharacteristic, complemented
1056#460—471no—
1057#460—471no—
1058#460—471no—
1059#460C2×D4711yescharacteristic, complemented
1060#459—471no—
1061#459—471no—
1062#459—471no—
1063#459—471no—
1064#459—471no—
1065#459—471no—
1066#459—471no—
1067#459—471no—
1068#459—471no—
1069#459—471no—
1070#459—471no—
1071#459—471no—
1072#459—471no—
1073#459—471no—
1074#459—471no—
1075#459—471no—
1076#459—471no—
1077#459—471no—
1078#459—471no—
1079#459C2×D4711yescharacteristic
1080#428—471no—
1081#428—471no—
1082#427—471no—
1083#427—471no—
1084#424—471no—
1085#424—471no—
1086#424—471no—
1087#424—471no—
1088#424—471no—
1089#424C2×D4711yescharacteristic, complemented
1090#423—471no—
1091#423—471no—
1092#423—471no—
1093C2×C4⋊C8—471no—
1094C2×C4⋊C8—471no—
1095C2×C4⋊C8—471no—
1096#418—471no—
1097#418—471no—
1098#418—471no—
1099#418—471no—
1100#416—471no—
1101#416—471no—
1102C2×#102—471no—
1103C2×#102—471no—
1104C47#6092211yescharacteristic, complemented, Sylow
1105C2×#41—471no—
1106C2×#41—471no—
1107C2×#41—941no—
1108C2×#41—941no—
1109C2×#41—941no—
1110C2×#41—941no—
1111C2×#41—941no—
1112C2×#41—941no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—941no—
1117C22×D4—941no—
1118C23×C4—941no—
1119AGL(1,ℤ/8)—1882no—
1120AGL(1,ℤ/8)—1882no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16C22×D4711yescharacteristic
1124C2×SD16C22×D4711yescharacteristic
1125C2×D8—471no—
1126C2×D8—471no—
1127C2×D8—471no—
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8—471no—
1131C2×D8—471no—
1132C2×D8—471no—
1133C2×D8—471no—
1134C2×D8—471no—
1135C2×D8—1882no—
1136C2×D8—1882no—
1137C2×D8C22×D4711yescharacteristic
1138C2×D8C22×D4711yescharacteristic
1139#131—1882no—
1140#131—1882no—
1141C2×M16—471no—
1142C2×M16—471no—
1143C2×M16—471no—
1144C2×M16—471no—
1145C2×M16—471no—
1146C2×M16C22×D4711yescharacteristic
1147C22×C8—471no—
1148C22×C8—471no—
1149C22×C8—471no—
1150C22×C8—471no—
1151C22×C8—471no—
1152C22×C8C22×D4711yescharacteristic
1153C4⋊Q8—471no—
1154C4⋊Q8—471no—
1155C4⋊Q8—471no—
1156C4⋊Q8—941no—
1157C4⋊Q8C22×D4711yescharacteristic
1158#127—471no—
1159#127—471no—
1160#127—471no—
1161#127—471no—
1162#127—471no—
1163#127—941no—
1164#127—941no—
1165#127—941no—
1166#127—941no—
1167#127—941no—
1168#127C22×D4711yescharacteristic
1169#126—21no—
1170#126—941no—
1171#126—941no—
1172#126—941no—
1173#125—471no—
1174#125—471no—
1175#125—471no—
1176#125—941no—
1177#125C22×D4711yescharacteristic
1178#124—21no—
1179#124—471no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124—941no—
1189#124—941no—
1190#124C22×D4711yescharacteristic
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—941no—
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—
1207C22⋊Q8—21no—
1208C22⋊Q8—471no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8C22×D4711yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—471no—
1219#121—471no—
1220#121—471no—
1221#121—471no—
1222#121—471no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—471no—
1228#121—471no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121—941no—
1240#121—941no—
1241#121—941no—
1242#121—941no—
1243#121—941no—
1244#121—941no—
1245#121—941no—
1246#121—941no—
1247#121—941no—
1248#121—941no—
1249#121—941no—
1250#121C22×D4711yescharacteristic
1251#121C22×D4711yescharacteristic
1252#121C22×D4711yescharacteristic
1253#120—941no—
1254#120—941no—
1255#120—941no—
1256#120—941no—
1257#120—941no—
1258#120—941no—
1259#120—941no—
1260#120—941no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—471no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8C22×D4711yescharacteristic
1267C4×D4—471no—
1268C4×D4—471no—
1269C4×D4—471no—
1270C4×D4—471no—
1271C4×D4—471no—
1272C4×D4—471no—
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—471no—
1282C4×D4—471no—
1283C4×D4—471no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4—941no—
1288C4×D4—941no—
1289C4×D4—941no—
1290C4×D4—941no—
1291C4×D4—941no—
1292C4×D4—941no—
1293C4×D4—941no—
1294C4×D4—941no—
1295C4×D4—941no—
1296C4×D4—941no—
1297C4×D4—941no—
1298C4×D4—941no—
1299C4×D4—941no—
1300C4×D4C22×D4711yescharacteristic
1301C4×D4C22×D4711yescharacteristic
1302C4×D4C22×D4711yescharacteristic
1303#117—471no—
1304#117—471no—
1305#117—471no—
1306#117—471no—
1307#117—471no—
1308#117—941no—
1309#117—941no—
1310#117—941no—
1311#117C22×D4711yescharacteristic
1312C2×C4⋊C4—471no—
1313C2×C22⋊C4—941no—
1314C2×C22⋊C4—941no—
1315C2×C22⋊C4—941no—
1316C2×C22⋊C4—941no—
1317C2×C22⋊C4—941no—
1318C2×C42—471no—
1319C2×C42—471no—
1320C2×C42—471no—
1321C2×C42—941no—
1322#107—471no—
1323#107—471no—
1324#107—471no—
1325#107—471no—
1326#107—471no—
1327#107—471no—
1328#107C22×D4711yescharacteristic
1329#107C22×D4711yescharacteristic
1330#106—471no—
1331#106—471no—
1332#106—471no—
1333#106—471no—
1334#106—471no—
1335#106—471no—
1336#106C22×D4711yescharacteristic
1337#106C22×D4711yescharacteristic
1338C4⋊C8—471no—
1339C4⋊C8—471no—
1340C4⋊C8—471no—
1341C4⋊C8—471no—
1342C4⋊C8—471no—
1343C4⋊C8—471no—
1344C4⋊C8—471no—
1345C4⋊C8—471no—
1346C4⋊C8—471no—
1347C4⋊C8—471no—
1348C4⋊C8—471no—
1349C4⋊C8—471no—
1350C4⋊C8C22×D4711yescharacteristic
1351C4⋊C8C22×D4711yescharacteristic
1352C4⋊C8C22×D4711yescharacteristic
1353C4⋊C8C22×D4711yescharacteristic
1354#103—471no—
1355#103—471no—
1356#103C22×D4711yescharacteristic
1357#103C22×D4711yescharacteristic
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—
1367#102—471no—
1368#102—471no—
1369#102—471no—
1370#102—471no—
1371#102—471no—
1372#102—471no—
1373#102—471no—
1374#102—471no—
1375#102—471no—
1376#102—471no—
1377#102—471no—
1378#102—471no—
1379#102—471no—
1380#102C22×D4711yescharacteristic
1381#102C22×D4711yescharacteristic
1382#102C22×D4711yescharacteristic
1383#102C22×D4711yescharacteristic
1384#102C22×D4711yescharacteristic
1385#102C22×D4711yescharacteristic
1386C24—941no—
1387C24—941no—
1388C24—941no—
1389#41—942no—
1390#41—942no—
1391#41—942no—
1392#41—942no—
1393#41—3762no—
1394#41—3762no—
1395#41—3762no—
1396#41—3762no—
1397#41—3762no—
1398#41—3762no—
1399C2×Q8—21no—
1400C2×Q8—471no—
1401C2×Q8—941no—
1402C2×Q8—941no—
1403C2×Q8—941no—
1404C2×Q8C23×D4711yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—471no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—942no—
1423C2×D4—942no—
1424C2×D4—942no—
1425C2×D4—942no—
1426C2×D4—942no—
1427C2×D4—942no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—941no—
1433C2×D4—941no—
1434C2×D4—941no—
1435C2×D4—941no—
1436C2×D4—941no—
1437C2×D4—941no—
1438C2×D4—941no—
1439C2×D4—941no—
1440C2×D4—941no—
1441C2×D4—941no—
1442C2×D4—941no—
1443C2×D4—941no—
1444C2×D4—941no—
1445C2×D4—941no—
1446C2×D4—941no—
1447C2×D4—941no—
1448C2×D4—3762no—
1449C2×D4—3762no—
1450C2×D4C23×D4711yescharacteristic
1451C2×D4C23×D4711yescharacteristic
1452C2×D4C23×D4711yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—471no—
1457C22×C4—471no—
1458C22×C4—471no—
1459C22×C4—471no—
1460C22×C4—471no—
1461C22×C4—471no—
1462C22×C4—471no—
1463C22×C4—471no—
1464C22×C4—941no—
1465C22×C4—941no—
1466C22×C4—941no—
1467C22×C4—941no—
1468C22×C4—941no—
1469C22×C4—941no—
1470C22×C4—941no—
1471C22×C4—941no—
1472C22×C4—941no—
1473C22×C4—941no—
1474C22×C4—941no—
1475C22×C4—941no—
1476C22×C4—941no—
1477C22×C4—3762no—
1478C22×C4C23×D4711yescharacteristic
1479SD16—41no—
1480SD16—41no—
1481SD16—1881no—
1482SD16—1881no—
1483D8—41no—
1484D8—41no—
1485D8—1881no—
1486D8—1881no—
1487D8—1881no—
1488D8—1881no—
1489D8—1881no—
1490D8—1881no—
1491D8—1881no—
1492D8—1881no—
1493D8—1881no—
1494D8—1881no—
1495M16—41no—
1496M16—942no—
1497M16—942no—
1498M16—1881no—
1499M16—1881no—
1500M16—1881no—
1501C2×C8—41no—
1502C2×C8—471no—
1503C2×C8—471no—
1504C2×C8—471no—
1505C2×C8—471no—
1506C2×C8—942no—
1507C2×C8—942no—
1508C2×C8—1881no—
1509C2×C8—1881no—
1510C2×C8—1881no—
1511C2×C8C23×D4711yescharacteristic
1512C2×C8C23×D4711yescharacteristic
1513C2×C8C23×D4711yescharacteristic
1514C2×C8C23×D4711yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—471no—
1521C4⋊C4—471no—
1522C4⋊C4—471no—
1523C4⋊C4—471no—
1524C4⋊C4—471no—
1525C4⋊C4—471no—
1526C4⋊C4—471no—
1527C4⋊C4—471no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4—941no—
1537C4⋊C4—941no—
1538C4⋊C4—941no—
1539C4⋊C4—941no—
1540C4⋊C4D4×D4711yescharacteristic
1541C4⋊C4D4×D4711yescharacteristic
1542C4⋊C4C23×D4711yescharacteristic
1543C4⋊C4C23×D4711yescharacteristic
1544C4⋊C4C23×D4711yescharacteristic
1545C4⋊C4C23×D4711yescharacteristic
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—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—471no—
1559C22⋊C4—941no—
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⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4—941no—
1586C22⋊C4—941no—
1587C22⋊C4D4×D4711yescharacteristic
1588C22⋊C4D4×D4711yescharacteristic
1589C42—21no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—471no—
1596C42—471no—
1597C42—471no—
1598C42—941no—
1599C42—941no—
1600C42—941no—
1601C42—941no—
1602C42C23×D4711yescharacteristic
1603C42C23×D4711yescharacteristic
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—471no—
1608C23—471no—
1609C23—941no—
1610C23—941no—
1611C23—941no—
1612C23—941no—
1613C23—3761no—
1614C23—3761no—
1615C23—3761no—
1616C23—3761no—
1617C23—3761no—
1618C23—3761no—
1619C23—1882no—
1620C23—1882no—
1621C23—1882no—
1622C23C2×D4×D4711yescharacteristic
1623Q8—21no—
1624Q8—21no—
1625Q8—81no—
1626Q8—942no—
1627Q8—3761no—
1628Q8—1882no—
1629Q8—1882no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—942no—
1642D4—942no—
1643D4—942no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—941no—
1648D4—941no—
1649D4—941no—
1650D4—941no—
1651D4—941no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—3761no—
1657D4—3761no—
1658D4—3761no—
1659D4—3761no—
1660D4—3761no—
1661D4—3761no—
1662D4—3761no—
1663D4—3761no—
1664D4—3761no—
1665D4—3761no—
1666D4—3761no—
1667D4—3761no—
1668D4—3761no—
1669D4—1882no—
1670D4—1882no—
1671D4—1882no—
1672D4—1882no—
1673D4—1882no—
1674D4—1882no—
1675D4—1882no—
1676D4—1882no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—471no—
1688C2×C4—471no—
1689C2×C4—472no—
1690C2×C4—472no—
1691C2×C4—471no—
1692C2×C4—471no—
1693C2×C4—471no—
1694C2×C4—471no—
1695C2×C4—942no—
1696C2×C4—942no—
1697C2×C4—942no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—3761no—
1705C2×C4—3761no—
1706C2×C4—3761no—
1707C2×C4—3761no—
1708C2×C4—3761no—
1709C2×C4—3761no—
1710C2×C4—3761no—
1711C2×C4—3761no—
1712C2×C4—3761no—
1713C2×C4—1881no—
1714C2×C4—1881no—
1715C2×C4—1882no—
1716C2×C4—1882no—
1717C2×C4—1882no—
1718C2×C4—1882no—
1719C2×C4—1881no—
1720C2×C4C2×D4×D4711yescharacteristic
1721C2×C4C2×D4×D4711yescharacteristic
1722C2×C4C2×D4×D4711yescharacteristic
1723C2×C4C2×D4×D4711yescharacteristic
1724C2×C4C2×D4×D4711yescharacteristic
1725C2×C4C24×D4711yescharacteristic
1726C8—21no—
1727C8—21no—
1728C8—21no—
1729C8—21no—
1730C8—941no—
1731C8—941no—
1732C8—941no—
1733C8—941no—
1734C22—21no—
1735C22—21no—
1736C22—21no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—472no—
1747C22—941no—
1748C22—941no—
1749C22—941no—
1750C22—941no—
1751C22—941no—
1752C22—3764no—
1753C22—1881no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—7522no—
1766C22—7522no—
1767C22C22×D4×D4711yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—472no—
1779C4—472no—
1780C4—941no—
1781C4—941no—
1782C4—941no—
1783C4—941no—
1784C4—1881no—
1785C4—1881no—
1786C4—1881no—
1787C4—1881no—
1788C4H(5,𝔽2)×D4711yescharacteristic
1789C42−1+4×D4711yescharacteristic
1790C2—41no—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—942no—
1795C2—3761no—
1796C2—3761no—
1797C2—3761no—
1798C2—3761no—
1799C2—1881no—
1800C2#537×D4711yescharacteristic
1801C2#576×D4711yescharacteristic
1802C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3257C2
socleC22×C47C23×D4
hypercenter#3257D47
hypocenterC47#60922
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #20257260C2semidirect
2. #20256808C2semidirect
3. #20254827C2semidirect
4. #20254826C2semidirect
5. #20254825C2semidirect
6. #20254823C2semidirect
7. #20254805C2semidirect
8. #20254799C2semidirect
9. #20254797C2semidirect
10. #20254768C2semidirect
11. #20254765C2semidirect
12. #20254747C2semidirect
13. #20254745C2semidirect
14. #20254711C2semidirect
15. #20254709C2semidirect
16. #20254697C2semidirect
17. #20254694C2semidirect
18. #20253214C2semidirect
19. #20253212C2semidirect
20. #20253183C2semidirect
21. #20253175C2semidirect
22. #20253063C2semidirect
23. #20253061C2semidirect
24. #20253034C2semidirect
25. #20253031C2semidirect
26. #20252889C2semidirect
27. #20252889C2semidirect
28. #20252865C2semidirect
29. #459×D47C2semidirect
30. #20251955C2semidirect
31. C47×#3257C2semidirect
47. #15689745C22semidirect
49. #15689729C22semidirect
50. #15689728C22semidirect
51. #15689728C22semidirect
52. #15689727C22semidirect
54. #15689724C22semidirect
63. #15689674C22semidirect
65. #15689670C22semidirect
66. #15689670C22semidirect
67. #15689668C22semidirect
68. #15689668C22semidirect
69. #15689668C22semidirect
71. #15689659C22semidirect
73. #15689652C22semidirect
81. #15689430C22semidirect
82. #15689426C22semidirect
83. #15689425C22semidirect
84. #15689424C22semidirect
85. #15689424C22semidirect
86. #15689424C22semidirect
87. #15689424C22semidirect
88. #15689423C22semidirect
89. #15689423C22semidirect
90. #15689423C22semidirect
91. #15689422C22semidirect
92. #15689421C22semidirect
93. #15689420C22semidirect
94. #15689420C22semidirect
95. #15689416C22semidirect
96. #15689412C22semidirect
97. #15689412C22semidirect
98. #15689412C22semidirect
99. #15689411C22semidirect
100. #15689411C22semidirect
101. #15689410C22semidirect
102. #15689406C22semidirect
103. #15689402C22semidirect
104. #15689402C22semidirect
105. #15689402C22semidirect
106. #15689401C22semidirect
107. #15689401C22semidirect
108. #15689400C22semidirect
109. #15689377C22semidirect
110. #15689377C22semidirect
111. #15689376C22semidirect
112. #15689376C22semidirect
113. #15689375C22semidirect
114. #15689375C22semidirect
115. #15689375C22semidirect
116. #15689374C22semidirect
117. #15689374C22semidirect
118. #15689374C22semidirect
119. #15689373C22semidirect
120. #15689372C22semidirect
121. #15689371C22semidirect
122. #15689366C22semidirect
123. #15689360C22semidirect
124. #15689360C22semidirect
125. #15689359C22semidirect
126. #15689359C22semidirect
127. #15689358C22semidirect
128. #15689358C22semidirect
129. #15689358C22semidirect
130. #15689357C22semidirect
131. #15689357C22semidirect
132. #15689357C22semidirect
133. #15689356C22semidirect
134. #15689355C22semidirect
135. #15689354C22semidirect
136. #15689349C22semidirect
137. #15689341C22semidirect
138. #15689341C22semidirect
139. #15689340C22semidirect
140. #15689340C22semidirect
141. #15689335C22semidirect
142. #15689335C22semidirect
143. #15689323C22semidirect
144. #15689321C22semidirect
145. #15689321C22semidirect
147. #15689319C22semidirect
148. #15689319C22semidirect
149. #15689319C22semidirect
151. #15689318C22semidirect
152. #15689318C22semidirect
155. #15689317C22semidirect
156. #15689317C22semidirect
157. #15689317C22semidirect
158. #15689317C22semidirect
161. #15689316C22semidirect
162. #15689316C22semidirect
164. #15689315C22semidirect
169. #15689150C22semidirect
172. #15689148C22semidirect
173. #15689148C22semidirect
174. #15689146C22semidirect
176. #15689145C22semidirect
177. C2×Dic47⋊C8C22semidirect
179. C4⋊C8×D47C22semidirect
188. C47×#542C22semidirect
189. C47×#540C22semidirect
190. C47×#479C22semidirect
191. C47×#478C22semidirect
192. C47×#476C22semidirect
193. C47×#474C22semidirect
194. C47×#469C22semidirect
195. C47×#468C22semidirect
196. C47×#466C22semidirect
197. C47×#465C22semidirect
198. C47×#463C22semidirect
199. C47×#463C22semidirect
200. C47×#460C22semidirect
202. C47×#424C22semidirect
898. #3257D47semidirect
950. #542C2×D47semidirect
957. #540C2×D47semidirect
985. #479C2×D47semidirect
999. #478C2×D47semidirect
1007. #476C2×D47semidirect
1015. #474C2×D47semidirect
1027. #469C2×D47semidirect
1031. #468C2×D47semidirect
1043. #466C2×D47semidirect
1047. #465C2×D47semidirect
1054. #463C2×D47semidirect
1055. #463C2×D47semidirect
1059. #460C2×D47semidirect
1089. #424C2×D47semidirect
1104. C47#60922semidirect

Maximal subgroups

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

subgroupindex
#202572602
#202568082
#202548272
#202548262
#202548252
#202548232
#202548052
#202547992
#202547972
#202547682
#202547652
#202547472
#202547452
#202547112
#202547092
#202546972
#202546942
#202532142
#202532122
#202531832
#202531752
#202530632
#202530612
#202530342
#202530312
#202528892
#202528652
#459×D472
#202519552
C47×#32572
#6092247