Finite Group Databasebeta

← #27089331

Subgroups — #27089331

Order 12032.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20256775C211yesmaximal, characteristic, complemented
2#540×D47C211yesmaximal, characteristic, complemented
3#20254833C211yesmaximal, characteristic, complemented
4#20254832C211yesmaximal, characteristic, complemented
5#20254830C211yesmaximal, characteristic, complemented
6#20254828C211yesmaximal, characteristic, complemented
7#20254826C211yesmaximal, characteristic, complemented
8#20254825C211yesmaximal, characteristic, complemented
9#20254824C211yesmaximal, characteristic, complemented
10#20254822C211yesmaximal, characteristic, complemented
11#20254806C211yesmaximal, characteristic, complemented
12#20254804C211yesmaximal, characteristic, complemented
13#20254801C211yesmaximal, characteristic, complemented
14#20254799C211yesmaximal, characteristic, complemented
15#20254798C211yesmaximal, characteristic, complemented
16#20254796C211yesmaximal, characteristic, complemented
17#20254793C211yesmaximal, characteristic, complemented
18#20253207C211yesmaximal, characteristic, complemented
19#20253205C211yesmaximal, characteristic, complemented
20#20253186C211yesmaximal, characteristic, complemented
21#20253180C211yesmaximal, characteristic, complemented
22#20253006C211yesmaximal, characteristic, complemented
23#20253004C211yesmaximal, characteristic, complemented
24#20253002C211yesmaximal, characteristic, complemented
25#20253000C211yesmaximal, characteristic, complemented
26#20252865C211yesmaximal, characteristic, complemented
27#20252863C211yesmaximal, characteristic, complemented
28#20252850C211yesmaximal, characteristic, complemented
29#20252850C211yesmaximal, characteristic, complemented
30#20251949C211yesmaximal, characteristic, complemented
31C47×#3257C211yesmaximal, characteristic, complemented
32C2×#13094051C2211yescharacteristic
33C2×#13094051C2211yescharacteristic
34C2×#13094048C2211yescharacteristic
35C2×#13094048C2211yescharacteristic
36C22×#10625324C2211yescharacteristic
37C2×M16×D47C2211yescharacteristic
38#15689747C2211yescharacteristic, complemented
39#15689744C2211yescharacteristic, complemented
40#15689742C2211yescharacteristic, complemented
41#15689733C2211yescharacteristic, complemented
42#15689731C2211yescharacteristic, complemented
43#15689729C2211yescharacteristic
44#15689728C2211yescharacteristic
45#15689727C2211yescharacteristic
46#15689726C2211yescharacteristic
47#15689726C2211yescharacteristic
48#15689726C2211yescharacteristic, complemented
49#15689725—21no—
50#15689725—21no—
51#15689724C2211yescharacteristic
52#15689724C2211yescharacteristic
53#15689724C2211yescharacteristic, complemented
54#15689723—21no—
55#15689723—21no—
56#15689719—21no—
57#15689714—21no—
58#15689709—21no—
59#15689707—21no—
60#15689678C2211yescharacteristic
61#15689672C2211yescharacteristic
62#127×D47C2211yescharacteristic
63#15689659—21no—
64#15689656—21no—
65#15689652—21no—
66#15689650—21no—
67#125×D47C2211yescharacteristic
68#15689636C2211yescharacteristic
69#15689633C2211yescharacteristic
70#123×D47—21no—
71#123×D47—21no—
72#121×D47—21no—
73#121×D47—21no—
74#121×D47C2211yescharacteristic
75#121×D47C2211yescharacteristic
76C4×#10625354C2211yescharacteristic
77C4×#10625352C2211yescharacteristic
78C4×D4×D47C2211yescharacteristic
79C4×D4×D47C2211yescharacteristic
80#117×D47C2211yescharacteristic
81#15689433C2211yescharacteristic, complemented
82#15689432C2211yescharacteristic, complemented
83#15689431C2211yescharacteristic, complemented
84#15689430C2211yescharacteristic, complemented
85#15689429C2211yescharacteristic, complemented
86#15689428C2211yescharacteristic, complemented
87#15689427C2211yescharacteristic, complemented
88#15689426C2211yescharacteristic, complemented
89#15689426C2211yescharacteristic, complemented
90#15689426C2211yescharacteristic, complemented
91#15689425C2211yescharacteristic, complemented
92#15689425C2211yescharacteristic, complemented
93#15689425C2211yescharacteristic, complemented
94#15689424C2211yescharacteristic, complemented
95#15689423C2211yescharacteristic, complemented
96#15689422C2211yescharacteristic, complemented
97#15689422C2211yescharacteristic, complemented
98#15689422C2211yescharacteristic, complemented
99#15689421C2211yescharacteristic, complemented
100#15689421C2211yescharacteristic, complemented
101#15689421C2211yescharacteristic, complemented
102#15689420C2211yescharacteristic, complemented
103#15689414C2211yescharacteristic, complemented
104#15689413C2211yescharacteristic, complemented
105#15689410C2211yescharacteristic, complemented
106#15689404C2211yescharacteristic, complemented
107#15689403C2211yescharacteristic, complemented
108#15689400C2211yescharacteristic, complemented
109#15689377C2211yescharacteristic, complemented
110#15689376C2211yescharacteristic, complemented
111#15689375C2211yescharacteristic, complemented
112#15689375C2211yescharacteristic, complemented
113#15689374C2211yescharacteristic, complemented
114#15689374C2211yescharacteristic, complemented
115#15689373C2211yescharacteristic, complemented
116#15689372C2211yescharacteristic, complemented
117#15689371C2211yescharacteristic, complemented
118#15689370C2211yescharacteristic, complemented
119#15689369C2211yescharacteristic, complemented
120#15689368C2211yescharacteristic, complemented
121#15689367C2211yescharacteristic, complemented
122#15689366C2211yescharacteristic, complemented
123#15689360C2211yescharacteristic, complemented
124#15689359C2211yescharacteristic, complemented
125#15689358C2211yescharacteristic, complemented
126#15689358C2211yescharacteristic, complemented
127#15689357C2211yescharacteristic, complemented
128#15689357C2211yescharacteristic, complemented
129#15689356C2211yescharacteristic, complemented
130#15689355C2211yescharacteristic, complemented
131#15689354C2211yescharacteristic, complemented
132#15689353C2211yescharacteristic, complemented
133#15689352C2211yescharacteristic, complemented
134#15689351C2211yescharacteristic, complemented
135#15689350C2211yescharacteristic, complemented
136#15689349C2211yescharacteristic, complemented
137#15689339C2211yescharacteristic, complemented
138#15689339C2211yescharacteristic, complemented
139#15689338C2211yescharacteristic, complemented
140#15689338C2211yescharacteristic, complemented
141#15689335C2211yescharacteristic, complemented
142#15689335C2211yescharacteristic, complemented
143#15689327C2211yescharacteristic, complemented
144#15689327C2211yescharacteristic, complemented
145#15689326C2211yescharacteristic, complemented
146#15689326C2211yescharacteristic, complemented
147#15689324C2211yescharacteristic, complemented
148#15689323C2211yescharacteristic, complemented
149#15689322C2211yescharacteristic, complemented
150#15689322C2211yescharacteristic, complemented
151#15689321C2211yescharacteristic, complemented
152#15689321C2211yescharacteristic, complemented
153#15689320C2211yescharacteristic, complemented
154#15689319C2211yescharacteristic, complemented
155#15689318C2211yescharacteristic, complemented
156#15689317C2211yescharacteristic, complemented
157#15689317C2211yescharacteristic, complemented
158#15689317C2211yescharacteristic, complemented
159#15689317C2211yescharacteristic, complemented
160#15689316C2211yescharacteristic, complemented
161#15689316C2211yescharacteristic, complemented
162#15689316C2211yescharacteristic, complemented
163#15689316C2211yescharacteristic, complemented
164#15689315C2211yescharacteristic, complemented
165#15689164C2211yescharacteristic
166#15689164C2211yescharacteristic
167#15689162C2211yescharacteristic
168#15689162C2211yescharacteristic
169#15689151C2211yescharacteristic, complemented
170#15689150C2211yescharacteristic, complemented
171#15689149C2211yescharacteristic, complemented
172#15689148C2211yescharacteristic, complemented
173#15689148C2211yescharacteristic, complemented
174#15689148C2211yescharacteristic, complemented
175#15689148C2211yescharacteristic, complemented
176#15689145C2211yescharacteristic
177#15689145C2211yescharacteristic
178#15689145C2211yescharacteristic
179#15689145C2211yescharacteristic
180#15689126C2211yescharacteristic
181#15689126C2211yescharacteristic
182#15689126C2211yescharacteristic
183#15689126C2211yescharacteristic
184#15689123C2211yescharacteristic
185#15689123C2211yescharacteristic
186#15689121C2211yescharacteristic
187#15689121C2211yescharacteristic
188C47×#542C2211yescharacteristic, complemented
189C47×#540C2211yescharacteristic
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, complemented
202C47×#424C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625352C2311yescharacteristic
205C2×D4×D47—21no—
206C2×D4×D47—21no—
207C2×D4×D47—21no—
208C2×D4×D47—21no—
209C2×D4×D47C2311yescharacteristic
210C2×D4×D47C2311yescharacteristic
211C22×C4×D47—21no—
212C22×C4×D47—21no—
213C22×C4×D47C2311yescharacteristic
214#13094051—42no—
215#13094051—42no—
216#13094048—42no—
217#13094048—42no—
218C2×#10625325C2311yescharacteristic
219C2×#10625325C2311yescharacteristic
220C2×#10625335C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×D376C2311yescharacteristic
225C2×D376C2311yescharacteristic
226C2×#10625334C2311yescharacteristic
227C2×#10625334C2311yescharacteristic
228C2×#10625334C2311yescharacteristic
229C2×#10625334C2311yescharacteristic
230C2×#10625329C2311yescharacteristic
231C2×#10625324—42no—
232C2×#10625324C2311yescharacteristic
233C2×#10625324C2311yescharacteristic
234C2×#10625324C2311yescharacteristic
235C2×#10625324C2311yescharacteristic
236C2×#10625324C2311yescharacteristic
237C2×#10625324C2311yescharacteristic
238M16×D47—42no—
239C22×C47⋊C8C2311yescharacteristic
240C2×C8×D47C2311yescharacteristic
241C2×C8×D47C2311yescharacteristic
242#13094024C2311yescharacteristic
243#13094022C2311yescharacteristic
244#13094021C2311yescharacteristic
245#13094020—21no—
246#13094020—21no—
247#13094020C2311yescharacteristic
248#13094020C2311yescharacteristic
249#13094020C2311yescharacteristic
250#13094019—21no—
251#13094019—21no—
252#13094019—21no—
253#13094018—21no—
254#13094017—21no—
255#13094017—21no—
256#13094017—21no—
257#13094016—21no—
258#13094016C2311yescharacteristic
259#13094015—21no—
260#13094015C2311yescharacteristic
261#13094015C2311yescharacteristic
262#13094015C2311yescharacteristic
263#13094015C2311yescharacteristic
264#13094014—21no—
265#13094014—21no—
266#13094014—21no—
267#13094014—21no—
268#13094013—21no—
269#13094012C2311yescharacteristic
270#13094010—21no—
271#13094010—21no—
272#13094009—21no—
273#13094009—21no—
274#13094009—21no—
275#13094009—21no—
276#13094009—21no—
277#13094009—21no—
278#13094008—21no—
279#13094008—21no—
280#13094008—21no—
281#13094008—21no—
282#13094007—21no—
283#13094007—21no—
284#13094007—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094006—21no—
289#13094006—21no—
290#13094006—21no—
291#13094006—21no—
292#13094006—21no—
293#13094005—21no—
294#13094005—21no—
295#13094004—21no—
296#13094004C2311yescharacteristic
297#13094003C2311yescharacteristic
298#13094002—21no—
299#13094001—21no—
300#13094000—21no—
301#13094000—21no—
302#13094000C2311yescharacteristic
303#13093999—21no—
304#13093999—21no—
305#13093999C2311yescharacteristic
306#13093999C2311yescharacteristic
307#13093999C2311yescharacteristic
308#13093998—21no—
309#13093998—21no—
310#13093998—21no—
311#13093998C2311yescharacteristic
312#13093998C2311yescharacteristic
313#13093998C2311yescharacteristic
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093997—21no—
318#13093997—21no—
319#13093997—21no—
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093996—21no—
324#13093996—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093995—21no—
331#13093995—21no—
332#13093995—21no—
333#13093995C2311yescharacteristic
334#13093995C2311yescharacteristic
335#13093995C2311yescharacteristic
336#13093994—21no—
337#13093992—21no—
338Q8×Dic47—21no—
339Q8×Dic47C2311yescharacteristic
340C4×Dic94C2311yescharacteristic
341#13093989—21no—
342#13093989C2311yescharacteristic
343C4×D188—21no—
344C4×D188C2311yescharacteristic
345C4×D188C2311yescharacteristic
346C4×D188C2311yescharacteristic
347D4×Dic47—21no—
348D4×Dic47C2311yescharacteristic
349D4×Dic47C2311yescharacteristic
350D4×Dic47C2311yescharacteristic
351#13093986—21no—
352#13093986—21no—
353#13093986C2311yescharacteristic
354#13093986C2311yescharacteristic
355#13093986C2311yescharacteristic
356C4×C22⋊D47—21no—
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359(C22⋊D47)⋊C4—21no—
360(C22⋊D47)⋊C4—21no—
361(C22⋊D47)⋊C4—21no—
362(C22⋊D47)⋊C4—21no—
363(C22⋊D47)⋊C4—21no—
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
366#13093983C2311yescharacteristic
367#13093982—21no—
368#13093982D411yescharacteristic
369#13093982D411yescharacteristic
370#13093982C2311yescharacteristic
371#13093982C2311yescharacteristic
372#13093981C2311yescharacteristic
373#13093981C2311yescharacteristic
374#13093980—21no—
375#13093980D411yescharacteristic
376#13093980D411yescharacteristic
377C4⋊C4×D47—21no—
378C4⋊C4×D47—21no—
379C4⋊C4×D47D411yescharacteristic
380C4⋊C4×D47D411yescharacteristic
381C4⋊C4×D47C2311yescharacteristic
382C4⋊C4×D47C2311yescharacteristic
383C22⋊C4×D47—21no—
384C22⋊C4×D47—21no—
385C22⋊C4×D47—21no—
386C22⋊C4×D47—21no—
387C22⋊C4×D47D411yescharacteristic
388C22⋊C4×D47D411yescharacteristic
389C2×C4×Dic47—21no—
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#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093948C2311yescharacteristic
420#13093948C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093945C2311yescharacteristic
433#13093945C2311yescharacteristic
434#13093945C2311yescharacteristic
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×D47C2×D411yescharacteristic
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—
516C22×Dic47—21no—
517C22×Dic47—21no—
518C22×Dic47—21no—
519C22×Dic47—21no—
520C22×Dic47C2×D411yescharacteristic
521#10625354—22no—
522#10625354—22no—
523#10625352—22no—
524#10625352—22no—
525D4×D47—22no—
526D4×D47—22no—
527D4×D47—22no—
528D4×D47—22no—
529D4×D47—82no—
530D4×D47—82no—
531D4×D47—82no—
532D4×D47—82no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188—21no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—21no—
539C2×D188C2411yescharacteristic
540C2×D188C2411yescharacteristic
541C2×D188C2411yescharacteristic
542C2×C4×D47—22no—
543C2×C4×D47—22no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—82no—
554C2×C4×D47—82no—
555C2×C4×D47C2×D411yescharacteristic
556C2×C4×D47C2×D411yescharacteristic
557C2×C4×D47C2×D411yescharacteristic
558C2×C4×D47C2×D411yescharacteristic
559C2×C4×D47C2×D411yescharacteristic
560C2×C4×D47C2×D411yescharacteristic
561C2×C4×D47C2411yescharacteristic
562C2×C4×D47C2411yescharacteristic
563C2×Dic94—21no—
564C2×Dic94C2411yescharacteristic
565SD16×C47—41no—
566SD16×C47—41no—
567D8×C47—41no—
568D8×C47—41no—
569M16×C47—41no—
570C2×C8×C47—41no—
571C2×C8×C47C2411yescharacteristic
572C2×C8×C47C2411yescharacteristic
573C2×C8×C47C2411yescharacteristic
574C2×C8×C47C2411yescharacteristic
575C4⋊C4×C47—21no—
576C4⋊C4×C47—21no—
577C4⋊C4×C47—21no—
578C4⋊C4×C47—21no—
579C4⋊C4×C47—21no—
580C4⋊C4×C47C2×D411yescharacteristic
581C4⋊C4×C47C2×D411yescharacteristic
582C4⋊C4×C47C2411yescharacteristic
583C4⋊C4×C47C2411yescharacteristic
584C4⋊C4×C47C2411yescharacteristic
585C4⋊C4×C47C2411yescharacteristic
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47—21no—
591C22⋊C4×C47—21no—
592C22⋊C4×C47—21no—
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47C2×D411yescharacteristic
596C22⋊C4×C47C2×D411yescharacteristic
597C42×C47—21no—
598C42×C47C2411yescharacteristic
599C42×C47C2411yescharacteristic
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47C2×D411yescharacteristic
608C22⋊Dic47C2×D411yescharacteristic
609#10625336—41no—
610#10625336—41no—
611#10625335—41no—
612#10625335—41no—
613#10625334—41no—
614#10625334—41no—
615#10625334—41no—
616#10625334—41no—
617(C2×D47)⋊C4—21no—
618(C2×D47)⋊C4—21no—
619(C2×D47)⋊C4—21no—
620(C2×D47)⋊C4—21no—
621(C2×D47)⋊C4—21no—
622(C2×D47)⋊C4—21no—
623(C2×D47)⋊C4—21no—
624(C2×D47)⋊C4—21no—
625(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
636(C2×D47)⋊C4C2×D411yescharacteristic
637(C2×D47)⋊C4C2×D411yescharacteristic
638(C2×D47)⋊C4C2×D411yescharacteristic
639C4⋊Dic47—21no—
640C4⋊Dic47—21no—
641C4⋊Dic47—21no—
642C4⋊Dic47—21no—
643C4⋊Dic47—21no—
644C4⋊Dic47—21no—
645C4⋊Dic47—21no—
646C4⋊Dic47C2×D411yescharacteristic
647C4⋊Dic47C2×D411yescharacteristic
648C4⋊Dic47C2411yescharacteristic
649C4⋊Dic47C2411yescharacteristic
650C4⋊Dic47C2411yescharacteristic
651C4⋊Dic47C2411yescharacteristic
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
667Dic47⋊C4C2×D411yescharacteristic
668Dic47⋊C4C2×D411yescharacteristic
669Dic47⋊C4C2×D411yescharacteristic
670C4×Dic47—21no—
671C4×Dic47—21no—
672C4×Dic47—21no—
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47C2×D411yescharacteristic
676C4×Dic47C2×D411yescharacteristic
677C4×Dic47C2×D411yescharacteristic
678C4×Dic47C2×D411yescharacteristic
679C4×Dic47C2411yescharacteristic
680C4×Dic47C2411yescharacteristic
681#10625329—41no—
682C2×C47⋊C8—41no—
683C2×C47⋊C8C2411yescharacteristic
684C2×C47⋊C8C2411yescharacteristic
685C2×C47⋊C8C2411yescharacteristic
686C2×C47⋊C8C2411yescharacteristic
687D376—41no—
688D376—41no—
689#10625325—41no—
690#10625325—41no—
691#10625324—22no—
692#10625324—22no—
693#10625324—22no—
694#10625324—22no—
695#10625324—41no—
696#10625324—41no—
697C8×D47—41no—
698C8×D47—41no—
699C23×C47—21no—
700C23×C47—21no—
701C23×C47—21no—
702C23×C47C22×D411yescharacteristic
703C22×D47—22no—
704C22×D47—21no—
705C22×D47—21no—
706C22×D47—21no—
707C22×D47—41no—
708C22×D47—41no—
709C22×D47—42no—
710C22×D47—42no—
711C22×D47—42no—
712C22×D47—42no—
713C22×D47—42no—
714C22×D47—42no—
715C22×D47C22×D411yescharacteristic
716C22×D47C22×D411yescharacteristic
717Q8×C47—21no—
718Q8×C47—21no—
719Q8×C47—81no—
720D4×C47—21no—
721D4×C47—21no—
722D4×C47—21no—
723D4×C47—21no—
724D4×C47—21no—
725D4×C47—21no—
726D4×C47—81no—
727D4×C47—81no—
728D4×C47—81no—
729D4×C47—81no—
730D4×C47—81no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—81no—
739C2×C4×C47—81no—
740C2×C4×C47—81no—
741C2×C4×C47C22×D411yescharacteristic
742C2×C4×C47C22×D411yescharacteristic
743C2×C4×C47C22×D411yescharacteristic
744C2×C4×C47C22×D411yescharacteristic
745C2×C4×C47C22×D411yescharacteristic
746C2×C4×C47C2511yescharacteristic
747C22⋊D47—42no—
748C22⋊D47—42no—
749C22⋊D47—42no—
750C22⋊D47—81no—
751C22⋊D47—81no—
752C22⋊D47—81no—
753C22⋊D47—81no—
754C22⋊D47—81no—
755C22⋊D47—81no—
756C22⋊D47—81no—
757C22⋊D47—81no—
758C22⋊D47—81no—
759C22⋊D47—81no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C2×Dic47—22no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—42no—
769C2×Dic47—81no—
770C2×Dic47—81no—
771C2×Dic47—81no—
772C2×Dic47C22×D411yescharacteristic
773C2×Dic47C22×D411yescharacteristic
774C2×Dic47C22×D411yescharacteristic
775C2×Dic47C22×D411yescharacteristic
776C2×Dic47C22×D411yescharacteristic
777C2×Dic47C22×D411yescharacteristic
778D188—21no—
779D188—21no—
780D188—21no—
781D188—21no—
782D188—21no—
783D188—21no—
784D188—42no—
785D188—81no—
786D188—81no—
787D188—81no—
788D188—81no—
789D188—81no—
790C4×D47—22no—
791C4×D47—21no—
792C4×D47—21no—
793C4×D47—22no—
794C4×D47—41no—
795C4×D47—41no—
796C4×D47—41no—
797C4×D47—41no—
798C4×D47—42no—
799C4×D47—42no—
800C4×D47—42no—
801C4×D47—81no—
802C4×D47—81no—
803C4×D47—81no—
804C4×D47—81no—
805C4×D47—81no—
806C4×D47—81no—
807C4×D47H(5,𝔽2)12yes—
808C4×D472−1+412yes—
809Dic94—21no—
810Dic94—21no—
811Dic94—81no—
812C8×C47—21no—
813C8×C47—21no—
814C8×C47—21no—
815C8×C47—21no—
816C47⋊C8—21no—
817C47⋊C8—21no—
818C47⋊C8—21no—
819C47⋊C8—21no—
820#60920—471nomaximal, Sylow
821C22×C47—21no—
822C22×C47—21no—
823C22×C47—21no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47C23×D411yescharacteristic
834C2×D47—21no—
835C2×D47—21no—
836C2×D47—21no—
837C2×D47—21no—
838C2×D47—21no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—82no—
849C2×D47—84no—
850C2×D47—84no—
851C2×D47#53712yes—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—21no—
855C4×C47—21no—
856C4×C47—21no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47C2×H(5,𝔽2)11yescharacteristic
863C4×C47C2×2−1+411yescharacteristic
864Dic47—21no—
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47#53712yes—
875#3455—471no—
876C2×#540—471no—
877#3260—471no—
878#3260—471no—
879#3260—471no—
880#3260—471no—
881#3259—471no—
882#3259—471no—
883#3259—471no—
884#3259—471no—
885#3257—471no—
886#3257—471no—
887#3257—471no—
888#3257—471no—
889#3257—471no—
890#3257—471no—
891#3257—471no—
892#3257D4711yescharacteristic, complemented
893#3080—471no—
894#3080—471no—
895#3077—471no—
896#3077—471no—
897#3055—471no—
898#3055—471no—
899#3055—471no—
900#3055—471no—
901#3038—471no—
902#3038—471no—
903#3036—471no—
904#3036—471no—
905#2905—471no—
906C2×C47—41no—
907C2×C47—81no—
908C2×C47—81no—
909C2×C47—81no—
910C2×C47C2×#53711yescharacteristic
911C2×C47#358511yescharacteristic
912C2×C47#358511yescharacteristic
913D47—22no—
914D47—41no—
915D47—81no—
916D47—81no—
917D47—81no—
918C2×AGL(1,ℤ/8)—471no—
919C2×AGL(1,ℤ/8)—471no—
920C2×AGL(1,ℤ/8)—471no—
921C2×AGL(1,ℤ/8)—471no—
922C22×M16—471no—
923C22×M16—471no—
924#542—471no—
925#542—471no—
926#542—471no—
927#542C2×D4711yescharacteristic, complemented
928#541—471no—
929#541—471no—
930#540—471no—
931#540—471no—
932#540—471no—
933#540—471no—
934#540—471no—
935#540—471no—
936#540—471no—
937#540—471no—
938#540—471no—
939#540—941no—
940#540—941no—
941#540—941no—
942#540—941no—
943#540C2×D4711yescharacteristic
944#539—941no—
945#539—941no—
946#538—941no—
947#538—941no—
948#533—471no—
949#532—471no—
950C2×#127—471no—
951#529—941no—
952#529—941no—
953#529—941no—
954#529—941no—
955C2×#125—471no—
956#525—471no—
957#525—471no—
958C2×#123—941no—
959C2×#123—941no—
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—941no—
963C2×#121—941no—
964C4×#41—471no—
965C4×#41—471no—
966C2×C4×D4—471no—
967C2×C4×D4—471no—
968C2×#117—471no—
969#479—471no—
970#479—471no—
971#479—471no—
972#479—471no—
973#479—471no—
974#479—471no—
975#479—471no—
976#479C2×D4711yescharacteristic, complemented
977#478—471no—
978#478—471no—
979#478—471no—
980#478—471no—
981#478—471no—
982#478—471no—
983#478—471no—
984#478—471no—
985#478—471no—
986#478—471no—
987#478—471no—
988#478—471no—
989#478—471no—
990#478—471no—
991#478—471no—
992#478C2×D4711yescharacteristic, complemented
993#476—471no—
994#476—471no—
995#476—471no—
996#476C2×D4711yescharacteristic, complemented
997#474—471no—
998#474—471no—
999#474—471no—
1000#474C2×D4711yescharacteristic, complemented
1001#469—471no—
1002#469—471no—
1003#469—471no—
1004#469—471no—
1005#469—471no—
1006#469—471no—
1007#469—471no—
1008#469C2×D4711yescharacteristic, complemented
1009#468—471no—
1010#468—471no—
1011#468—471no—
1012#468—471no—
1013#468—471no—
1014#468—471no—
1015#468—471no—
1016#468C2×D4711yescharacteristic, complemented
1017#466—471no—
1018#466—471no—
1019#466—471no—
1020#466—471no—
1021#466—471no—
1022#466—471no—
1023#466—471no—
1024#466C2×D4711yescharacteristic, complemented
1025#465—471no—
1026#465—471no—
1027#465—471no—
1028#465—471no—
1029#465—471no—
1030#465—471no—
1031#465—471no—
1032#465C2×D4711yescharacteristic, complemented
1033#463—471no—
1034#463—471no—
1035#463—471no—
1036#463—471no—
1037#463—471no—
1038#463—471no—
1039#463C2×D4711yescharacteristic, complemented
1040#463C2×D4711yescharacteristic, complemented
1041#461—471no—
1042#461—471no—
1043#461—471no—
1044#461—471no—
1045#460—471no—
1046#460—471no—
1047#460—471no—
1048#460—471no—
1049#460—471no—
1050#460—471no—
1051#460—471no—
1052#460C2×D4711yescharacteristic, complemented
1053#459—471no—
1054#459—471no—
1055#459—471no—
1056#459—471no—
1057#459—471no—
1058#459—471no—
1059#459—471no—
1060#459—471no—
1061#459—471no—
1062#459—471no—
1063#459—471no—
1064#459C2×D4711yescharacteristic, complemented
1065#428—471no—
1066#428—471no—
1067#428—471no—
1068#428—471no—
1069#424—471no—
1070#424—471no—
1071#424—471no—
1072#424—471no—
1073#424—471no—
1074#424—471no—
1075#424—471no—
1076#424C2×D4711yescharacteristic, complemented
1077#423—471no—
1078#423—471no—
1079#423—471no—
1080#423—471no—
1081#418—471no—
1082#418—471no—
1083#418—471no—
1084#418—471no—
1085#417—471no—
1086#417—471no—
1087#417—471no—
1088#417—471no—
1089C47#6092011yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—941no—
1095C22×D4—941no—
1096C22×D4—941no—
1097C22×D4—941no—
1098C23×C4—471no—
1099C23×C4—941no—
1100C23×C4—941no—
1101AGL(1,ℤ/8)—1882no—
1102AGL(1,ℤ/8)—1882no—
1103AGL(1,ℤ/8)—1882no—
1104AGL(1,ℤ/8)—1882no—
1105C2×SD16—471no—
1106C2×SD16—471no—
1107C2×SD16—471no—
1108C2×SD16—471no—
1109C2×SD16—471no—
1110C2×SD16—471no—
1111C2×SD16C22×D4711yescharacteristic
1112C2×SD16C22×D4711yescharacteristic
1113C2×D8—471no—
1114C2×D8—471no—
1115C2×D8—471no—
1116C2×D8—471no—
1117C2×D8—471no—
1118C2×D8—471no—
1119C2×D8C22×D4711yescharacteristic
1120C2×D8C22×D4711yescharacteristic
1121C2×M16—471no—
1122C2×M16—471no—
1123C2×M16—471no—
1124C2×M16—471no—
1125C2×M16—471no—
1126C2×M16—471no—
1127C2×M16—471no—
1128C2×M16—1882no—
1129C2×M16—1882no—
1130C2×M16C22×D4711yescharacteristic
1131C22×C8—471no—
1132C22×C8—471no—
1133C22×C8—471no—
1134C22×C8C22×D4711yescharacteristic
1135C4⋊Q8—471no—
1136C4⋊Q8—471no—
1137C4⋊Q8C22×D4711yescharacteristic
1138#127—471no—
1139#127—471no—
1140#127—471no—
1141#127—471no—
1142#127—941no—
1143#127—941no—
1144#127C22×D4711yescharacteristic
1145#126—21no—
1146#126—941no—
1147#126—941no—
1148#126—941no—
1149#126—941no—
1150#126—941no—
1151#126—941no—
1152#126—941no—
1153#125—471no—
1154#125—471no—
1155#125—471no—
1156#125—471no—
1157#125—471no—
1158#125—941no—
1159#125—941no—
1160#125—941no—
1161#125—941no—
1162#125—941no—
1163#125—941no—
1164#125C22×D4711yescharacteristic
1165#124—21no—
1166#124—471no—
1167#124—941no—
1168#124—941no—
1169#124—941no—
1170#124C22×D4711yescharacteristic
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—941no—
1175#123—941no—
1176#123—941no—
1177#123—941no—
1178#123—941no—
1179#123—941no—
1180#123—941no—
1181#123—941no—
1182#123—941no—
1183#123—941no—
1184#123—941no—
1185#123—941no—
1186#123—941no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191#123—941no—
1192#123—941no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197C22⋊Q8—21no—
1198C22⋊Q8—471no—
1199C22⋊Q8—471no—
1200C22⋊Q8—471no—
1201C22⋊Q8—941no—
1202C22⋊Q8—941no—
1203C22⋊Q8—941no—
1204C22⋊Q8—941no—
1205C22⋊Q8—941no—
1206C22⋊Q8C22×D4711yescharacteristic
1207#121—21no—
1208#121—21no—
1209#121—471no—
1210#121—471no—
1211#121—471no—
1212#121—471no—
1213#121—471no—
1214#121—471no—
1215#121—471no—
1216#121—471no—
1217#121—471no—
1218#121—941no—
1219#121—941no—
1220#121—941no—
1221#121—941no—
1222#121—941no—
1223#121—941no—
1224#121—941no—
1225#121—941no—
1226#121—941no—
1227#121—941no—
1228#121—941no—
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#121C22×D4711yescharacteristic
1243#121C22×D4711yescharacteristic
1244#121C22×D4711yescharacteristic
1245#120—941no—
1246#120—941no—
1247C4×Q8—471no—
1248C4×Q8—471no—
1249C4×Q8—471no—
1250C4×Q8—941no—
1251C4×Q8—941no—
1252C4×Q8C22×D4711yescharacteristic
1253C4×D4—471no—
1254C4×D4—471no—
1255C4×D4—471no—
1256C4×D4—471no—
1257C4×D4—471no—
1258C4×D4—471no—
1259C4×D4—471no—
1260C4×D4—471no—
1261C4×D4—471no—
1262C4×D4—941no—
1263C4×D4—941no—
1264C4×D4—941no—
1265C4×D4—941no—
1266C4×D4—941no—
1267C4×D4—941no—
1268C4×D4—941no—
1269C4×D4—941no—
1270C4×D4—941no—
1271C4×D4—941no—
1272C4×D4—941no—
1273C4×D4—941no—
1274C4×D4—941no—
1275C4×D4—941no—
1276C4×D4C22×D4711yescharacteristic
1277C4×D4C22×D4711yescharacteristic
1278C4×D4C22×D4711yescharacteristic
1279#117—471no—
1280#117—471no—
1281#117—471no—
1282#117—471no—
1283#117—471no—
1284#117—471no—
1285#117—471no—
1286#117—471no—
1287#117—471no—
1288#117—941no—
1289#117—941no—
1290#117C22×D4711yescharacteristic
1291C2×C4⋊C4—471no—
1292C2×C4⋊C4—471no—
1293C2×C4⋊C4—471no—
1294C2×C4⋊C4—471no—
1295C2×C4⋊C4—941no—
1296C2×C4⋊C4—941no—
1297C2×C22⋊C4—471no—
1298C2×C22⋊C4—471no—
1299C2×C22⋊C4—941no—
1300C2×C22⋊C4—941no—
1301C2×C22⋊C4—941no—
1302C2×C22⋊C4—941no—
1303C2×C42—471no—
1304C2×C42—471no—
1305C2×C42—941no—
1306C2×C42—941no—
1307#107—471no—
1308#107—471no—
1309#107—471no—
1310#107—471no—
1311#107—471no—
1312#107—471no—
1313#107C22×D4711yescharacteristic
1314#107C22×D4711yescharacteristic
1315#106—471no—
1316#106—471no—
1317#106—471no—
1318#106—471no—
1319#106—471no—
1320#106—471no—
1321#106C22×D4711yescharacteristic
1322#106C22×D4711yescharacteristic
1323C4⋊C8—471no—
1324C4⋊C8—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—
1335C4⋊C8C22×D4711yescharacteristic
1336C4⋊C8C22×D4711yescharacteristic
1337C4⋊C8C22×D4711yescharacteristic
1338C4⋊C8C22×D4711yescharacteristic
1339#103—471no—
1340#103—471no—
1341#103—471no—
1342#103—471no—
1343#103—471no—
1344#103—471no—
1345#103C22×D4711yescharacteristic
1346#103C22×D4711yescharacteristic
1347#102—471no—
1348#102—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#102C22×D4711yescharacteristic
1366#102C22×D4711yescharacteristic
1367#102C22×D4711yescharacteristic
1368#102C22×D4711yescharacteristic
1369#102C22×D4711yescharacteristic
1370#102C22×D4711yescharacteristic
1371C24—471no—
1372C24—941no—
1373C24—941no—
1374#41—942no—
1375#41—942no—
1376#41—942no—
1377#41—942no—
1378C2×Q8—21no—
1379C2×Q8—471no—
1380C2×Q8—941no—
1381C2×Q8C23×D4711yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—471no—
1388C2×D4—471no—
1389C2×D4—471no—
1390C2×D4—941no—
1391C2×D4—941no—
1392C2×D4—941no—
1393C2×D4—941no—
1394C2×D4—942no—
1395C2×D4—942no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—941no—
1399C2×D4—941no—
1400C2×D4—941no—
1401C2×D4—941no—
1402C2×D4—941no—
1403C2×D4—941no—
1404C2×D4—941no—
1405C2×D4—941no—
1406C2×D4—941no—
1407C2×D4—941no—
1408C2×D4—941no—
1409C2×D4—941no—
1410C2×D4—941no—
1411C2×D4—941no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—3762no—
1416C2×D4—3762no—
1417C2×D4—3762no—
1418C2×D4—3762no—
1419C2×D4C23×D4711yescharacteristic
1420C2×D4C23×D4711yescharacteristic
1421C2×D4C23×D4711yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—471no—
1426C22×C4—471no—
1427C22×C4—471no—
1428C22×C4—471no—
1429C22×C4—471no—
1430C22×C4—471no—
1431C22×C4—471no—
1432C22×C4—471no—
1433C22×C4—471no—
1434C22×C4—942no—
1435C22×C4—942no—
1436C22×C4—941no—
1437C22×C4—941no—
1438C22×C4—941no—
1439C22×C4—941no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—3762no—
1450C22×C4—3762no—
1451C22×C4C23×D4711yescharacteristic
1452SD16—41no—
1453SD16—41no—
1454SD16—1881no—
1455SD16—1881no—
1456SD16—1881no—
1457SD16—1881no—
1458SD16—1881no—
1459SD16—1881no—
1460D8—41no—
1461D8—41no—
1462D8—1881no—
1463D8—1881no—
1464D8—1881no—
1465D8—1881no—
1466D8—1881no—
1467D8—1881no—
1468M16—41no—
1469M16—942no—
1470M16—942no—
1471M16—942no—
1472M16—942no—
1473M16—1881no—
1474M16—1881no—
1475M16—1881no—
1476C2×C8—41no—
1477C2×C8—471no—
1478C2×C8—471no—
1479C2×C8—471no—
1480C2×C8—471no—
1481C2×C8—1881no—
1482C2×C8—1881no—
1483C2×C8—1881no—
1484C2×C8C23×D4711yescharacteristic
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—471no—
1503C4⋊C4—941no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4—941no—
1523C4⋊C4—941no—
1524C4⋊C4D4×D4711yescharacteristic
1525C4⋊C4D4×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C4⋊C4C23×D4711yescharacteristic
1528C4⋊C4C23×D4711yescharacteristic
1529C4⋊C4C23×D4711yescharacteristic
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—471no—
1543C22⋊C4—471no—
1544C22⋊C4—471no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C22⋊C4—941no—
1555C22⋊C4—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
1571C22⋊C4D4×D4711yescharacteristic
1572C42—21no—
1573C42—471no—
1574C42—471no—
1575C42—471no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—941no—
1580C42—941no—
1581C42—941no—
1582C42—941no—
1583C42—941no—
1584C42C23×D4711yescharacteristic
1585C42C23×D4711yescharacteristic
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—471no—
1590C23—471no—
1591C23—942no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—1881no—
1596C23—1881no—
1597C23—1882no—
1598C23—1882no—
1599C23—1882no—
1600C23—1882no—
1601C23—1882no—
1602C23—1882no—
1603C23C2×D4×D4711yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—941no—
1608Q8—941no—
1609Q8—3761no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—941no—
1622D4—941no—
1623D4—941no—
1624D4—941no—
1625D4—941no—
1626D4—941no—
1627D4—3761no—
1628D4—3761no—
1629D4—3761no—
1630D4—3761no—
1631D4—3761no—
1632D4—3761no—
1633D4—3761no—
1634D4—3761no—
1635D4—3761no—
1636D4—3761no—
1637D4—3761no—
1638D4—3761no—
1639D4—3761no—
1640D4—3761no—
1641D4—3761no—
1642D4—3761no—
1643D4—3761no—
1644D4—1882no—
1645D4—1882no—
1646D4—1882no—
1647D4—1882no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—471no—
1659C2×C4—472no—
1660C2×C4—472no—
1661C2×C4—471no—
1662C2×C4—471no—
1663C2×C4—471no—
1664C2×C4—471no—
1665C2×C4—471no—
1666C2×C4—942no—
1667C2×C4—942no—
1668C2×C4—942no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—3761no—
1677C2×C4—3761no—
1678C2×C4—3761no—
1679C2×C4—3761no—
1680C2×C4—3761no—
1681C2×C4—3761no—
1682C2×C4—3761no—
1683C2×C4—3761no—
1684C2×C4—3761no—
1685C2×C4—1881no—
1686C2×C4—1881no—
1687C2×C4—1881no—
1688C2×C4—1881no—
1689C2×C4—1882no—
1690C2×C4—1882no—
1691C2×C4—1882no—
1692C2×C4—1882no—
1693C2×C4C2×D4×D4711yescharacteristic
1694C2×C4C2×D4×D4711yescharacteristic
1695C2×C4C2×D4×D4711yescharacteristic
1696C2×C4C2×D4×D4711yescharacteristic
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C24×D4711yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—941no—
1704C8—941no—
1705C8—941no—
1706C8—941no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—472no—
1720C22—941no—
1721C22—941no—
1722C22—941no—
1723C22—941no—
1724C22—941no—
1725C22—3762no—
1726C22—3764no—
1727C22—3764no—
1728C22—1881no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—1881no—
1736C22—1881no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—472no—
1749C4—941no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4H(5,𝔽2)×D4711yescharacteristic
1760C42−1+4×D4711yescharacteristic
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—942no—
1766C2—3761no—
1767C2—3761no—
1768C2—3761no—
1769C2—1881no—
1770C2#537×D4711yescharacteristic
1771C2#2025816311yescharacteristic
1772C2#2025816611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3257C2
socleC22×C47C23×D4
hypercenter#3257D47
hypocenterC47#60920
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. #20256775C2semidirect
2. #540×D47C2semidirect
3. #20254833C2semidirect
4. #20254832C2semidirect
5. #20254830C2semidirect
6. #20254828C2semidirect
7. #20254826C2semidirect
8. #20254825C2semidirect
9. #20254824C2semidirect
10. #20254822C2semidirect
11. #20254806C2semidirect
12. #20254804C2semidirect
13. #20254801C2semidirect
14. #20254799C2semidirect
15. #20254798C2semidirect
16. #20254796C2semidirect
17. #20254793C2semidirect
18. #20253207C2semidirect
19. #20253205C2semidirect
20. #20253186C2semidirect
21. #20253180C2semidirect
22. #20253006C2semidirect
23. #20253004C2semidirect
24. #20253002C2semidirect
25. #20253000C2semidirect
26. #20252865C2semidirect
27. #20252863C2semidirect
28. #20252850C2semidirect
29. #20252850C2semidirect
30. #20251949C2semidirect
31. C47×#3257C2semidirect
38. #15689747C22semidirect
39. #15689744C22semidirect
40. #15689742C22semidirect
41. #15689733C22semidirect
42. #15689731C22semidirect
48. #15689726C22semidirect
53. #15689724C22semidirect
81. #15689433C22semidirect
82. #15689432C22semidirect
83. #15689431C22semidirect
84. #15689430C22semidirect
85. #15689429C22semidirect
86. #15689428C22semidirect
87. #15689427C22semidirect
88. #15689426C22semidirect
89. #15689426C22semidirect
90. #15689426C22semidirect
91. #15689425C22semidirect
92. #15689425C22semidirect
93. #15689425C22semidirect
94. #15689424C22semidirect
95. #15689423C22semidirect
96. #15689422C22semidirect
97. #15689422C22semidirect
98. #15689422C22semidirect
99. #15689421C22semidirect
100. #15689421C22semidirect
101. #15689421C22semidirect
102. #15689420C22semidirect
103. #15689414C22semidirect
104. #15689413C22semidirect
105. #15689410C22semidirect
106. #15689404C22semidirect
107. #15689403C22semidirect
108. #15689400C22semidirect
109. #15689377C22semidirect
110. #15689376C22semidirect
111. #15689375C22semidirect
112. #15689375C22semidirect
113. #15689374C22semidirect
114. #15689374C22semidirect
115. #15689373C22semidirect
116. #15689372C22semidirect
117. #15689371C22semidirect
118. #15689370C22semidirect
119. #15689369C22semidirect
120. #15689368C22semidirect
121. #15689367C22semidirect
122. #15689366C22semidirect
123. #15689360C22semidirect
124. #15689359C22semidirect
125. #15689358C22semidirect
126. #15689358C22semidirect
127. #15689357C22semidirect
128. #15689357C22semidirect
129. #15689356C22semidirect
130. #15689355C22semidirect
131. #15689354C22semidirect
132. #15689353C22semidirect
133. #15689352C22semidirect
134. #15689351C22semidirect
135. #15689350C22semidirect
136. #15689349C22semidirect
137. #15689339C22semidirect
138. #15689339C22semidirect
139. #15689338C22semidirect
140. #15689338C22semidirect
141. #15689335C22semidirect
142. #15689335C22semidirect
143. #15689327C22semidirect
144. #15689327C22semidirect
145. #15689326C22semidirect
146. #15689326C22semidirect
147. #15689324C22semidirect
148. #15689323C22semidirect
149. #15689322C22semidirect
150. #15689322C22semidirect
151. #15689321C22semidirect
152. #15689321C22semidirect
153. #15689320C22semidirect
154. #15689319C22semidirect
155. #15689318C22semidirect
156. #15689317C22semidirect
157. #15689317C22semidirect
158. #15689317C22semidirect
159. #15689317C22semidirect
160. #15689316C22semidirect
161. #15689316C22semidirect
162. #15689316C22semidirect
163. #15689316C22semidirect
164. #15689315C22semidirect
169. #15689151C22semidirect
170. #15689150C22semidirect
171. #15689149C22semidirect
172. #15689148C22semidirect
173. #15689148C22semidirect
174. #15689148C22semidirect
175. #15689148C22semidirect
188. C47×#542C22semidirect
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
201. C47×#459C22semidirect
202. C47×#424C22semidirect
892. #3257D47semidirect
927. #542C2×D47semidirect
976. #479C2×D47semidirect
992. #478C2×D47semidirect
996. #476C2×D47semidirect
1000. #474C2×D47semidirect
1008. #469C2×D47semidirect
1016. #468C2×D47semidirect
1024. #466C2×D47semidirect
1032. #465C2×D47semidirect
1039. #463C2×D47semidirect
1040. #463C2×D47semidirect
1052. #460C2×D47semidirect
1064. #459C2×D47semidirect
1076. #424C2×D47semidirect
1089. C47#60920semidirect

Maximal subgroups

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

subgroupindex
#202567752
#540×D472
#202548332
#202548322
#202548302
#202548282
#202548262
#202548252
#202548242
#202548222
#202548062
#202548042
#202548012
#202547992
#202547982
#202547962
#202547932
#202532072
#202532052
#202531862
#202531802
#202530062
#202530042
#202530022
#202530002
#202528652
#202528632
#202528502
#202519492
C47×#32572
#6092047