Finite Group Databasebeta

← #27097881

Subgroups — #27097881

Order 12032.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20256944C211yesmaximal, characteristic, complemented
2D4×#10625350C211yesmaximal, characteristic, complemented
3#20256411C211yesmaximal, characteristic, complemented
4#20256290C211yesmaximal, characteristic, complemented
5#20256101C211yesmaximal, characteristic, complemented
6#20256098C211yesmaximal, characteristic, complemented
7#20255976C211yesmaximal, characteristic, complemented
8#20255835C211yesmaximal, characteristic, complemented
9#20255831C211yesmaximal, characteristic, complemented
10#20255691C211yesmaximal, characteristic, complemented
11#20255623C211yesmaximal, characteristic, complemented
12#20255406C211yesmaximal, characteristic, complemented
13#20255402C211yesmaximal, characteristic, complemented
14#20255356C211yesmaximal, characteristic, complemented
15#20255352C211yesmaximal, characteristic, complemented
16#20254986C211yesmaximal, characteristic, complemented
17#20254874C211yesmaximal, characteristic, complemented
18#20254866C211yesmaximal, characteristic, complemented
19#20253984C211yesmaximal, characteristic, complemented
20#20253981C211yesmaximal, characteristic, complemented
21#20253944C211yesmaximal, characteristic, complemented
22#20253449C211yesmaximal, characteristic, complemented
23#20253446C211yesmaximal, characteristic, complemented
24#20253433C211yesmaximal, characteristic, complemented
25#20253394C211yesmaximal, characteristic, complemented
26#20253386C211yesmaximal, characteristic, complemented
27#20252352C211yesmaximal, characteristic, complemented
28C4×#13094051C211yesmaximal, characteristic, complemented
29C4×#13094050C211yesmaximal, characteristic, complemented
30C4×D8×D47C211yesmaximal, characteristic, complemented
31C47×#3105C211yesmaximal, characteristic, complemented
32C22×#10625350—21no—
33C2×#13094051C2211yescharacteristic
34C2×#13094050C2211yescharacteristic
35C2×D8×D47C2211yescharacteristic
36#15689842C2211yescharacteristic, complemented
37#15689837C2211yescharacteristic, complemented
38#15689829C2211yescharacteristic, complemented
39#15689818—21no—
40#15689811C2211yescharacteristic, complemented
41#15689809—21no—
42#15689807C2211yescharacteristic, complemented
43#15689801—21no—
44#15689798—21no—
45#15689794C2211yescharacteristic, complemented
46D4×Dic94C2211yescharacteristic, complemented
47#15689782—21no—
48#15689778C2211yescharacteristic
49#15689775C2211yescharacteristic, complemented
50#15689774C2211yescharacteristic
51#15689774C2211yescharacteristic, complemented
52#15689770C2211yescharacteristic, complemented
53#15689769—21no—
54#15689766C2211yescharacteristic, complemented
55#15689763—21no—
56#15689763—21no—
57D4×D188C2211yescharacteristic
58D4×C22⋊D47C2211yescharacteristic
59D4×C22⋊D47C2211yescharacteristic, complemented
60#15689677C2211yescharacteristic, complemented
61#15689673C2211yescharacteristic, complemented
62#15689670C2211yescharacteristic
63#15689670C2211yescharacteristic, complemented
64#15689655—21no—
65#15689655C2211yescharacteristic, complemented
66#15689651—21no—
67#15689634—21no—
68#15689632—21no—
69#15689632—21no—
70#15689632—21no—
71C4×#10625354C2211yescharacteristic, complemented
72C4×#10625350C2211yescharacteristic
73C4×#10625350C2211yescharacteristic, complemented
74C4×D4×D47C2211yescharacteristic
75C4×D4×D47C2211yescharacteristic, complemented
76C4×D4×D47C2211yescharacteristic, complemented
77#117×D47—21no—
78#15689533C2211yescharacteristic, complemented
79#15689531C2211yescharacteristic, complemented
80#15689520C2211yescharacteristic, complemented
81#15689513C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic, complemented
84#15689489C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689482C2211yescharacteristic, complemented
87#15689481C2211yescharacteristic, complemented
88#15689472C2211yescharacteristic, complemented
89#15689468C2211yescharacteristic, complemented
90#15689460C2211yescharacteristic, complemented
91#15689455C2211yescharacteristic, complemented
92#15689452C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic, complemented
94#15689448C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689440C2211yescharacteristic, complemented
98#15689438C2211yescharacteristic, complemented
99#15689435C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689419C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689414C2211yescharacteristic, complemented
105#15689412C2211yescharacteristic, complemented
106#15689412C2211yescharacteristic, complemented
107#15689411C2211yescharacteristic, complemented
108#15689402C2211yescharacteristic, complemented
109#15689401C2211yescharacteristic, complemented
110#15689375C2211yescharacteristic, complemented
111#15689374C2211yescharacteristic, complemented
112#15689374C2211yescharacteristic, complemented
113#15689373C2211yescharacteristic, complemented
114#15689371C2211yescharacteristic, complemented
115#15689371C2211yescharacteristic, complemented
116#15689370C2211yescharacteristic, complemented
117#15689368C2211yescharacteristic, complemented
118#15689355C2211yescharacteristic, complemented
119#15689353C2211yescharacteristic, complemented
120#15689351C2211yescharacteristic, complemented
121#15689349C2211yescharacteristic, complemented
122#15689337C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic
124#15689327C2211yescharacteristic, complemented
125#15689326C2211yescharacteristic, complemented
126#15689324C2211yescharacteristic, complemented
127#15689321C2211yescharacteristic, complemented
128#15689319C2211yescharacteristic, complemented
129#15689317C2211yescharacteristic, complemented
130#15689317C2211yescharacteristic, complemented
131#15689316C2211yescharacteristic, complemented
132#15689275C2211yescharacteristic
133#15689275C2211yescharacteristic, complemented
134#15689272C2211yescharacteristic
135#15689271C2211yescharacteristic, complemented
136#15689270C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic, complemented
138#15689267C2211yescharacteristic, complemented
139#15689258C2211yescharacteristic, complemented
140#15689255C2211yescharacteristic
141#15689255C2211yescharacteristic, complemented
142#15689252C2211yescharacteristic, complemented
143#15689252C2211yescharacteristic, complemented
144#15689234C2211yescharacteristic, complemented
145#15689233C2211yescharacteristic
146#15689233C2211yescharacteristic, complemented
147#15689232C2211yescharacteristic
148#15689226C2211yescharacteristic, complemented
149#15689224C2211yescharacteristic, complemented
150#15689223C2211yescharacteristic, complemented
151#15689223C2211yescharacteristic, complemented
152C4×#10625325C2211yescharacteristic, complemented
153C4×#10625325C2211yescharacteristic, complemented
154C4×#10625336C2211yescharacteristic, complemented
155C4×#10625336C2211yescharacteristic, complemented
156C4×#10625335C2211yescharacteristic, complemented
157C4×#10625335C2211yescharacteristic, complemented
158C4×D376C2211yescharacteristic, complemented
159C4×D376C2211yescharacteristic, complemented
160D8×Dic47C2211yescharacteristic
161#15689205C2211yescharacteristic, complemented
162C4×#10625334C2211yescharacteristic
163C4×#10625334C2211yescharacteristic, complemented
164C4×#10625334C2211yescharacteristic, complemented
165C4×#10625334C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic
167#15689203C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689198C2211yescharacteristic, complemented
170#15689197C2211yescharacteristic, complemented
171#15689197C2211yescharacteristic, complemented
172#15689193C2211yescharacteristic, complemented
173#15689193C2211yescharacteristic, complemented
174#15689174C2211yescharacteristic, complemented
175#15689174C2211yescharacteristic, complemented
176#15689163C2211yescharacteristic, complemented
177#15689162C2211yescharacteristic, complemented
178#107×D47C2211yescharacteristic, complemented
179#15689128C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic, complemented
181#15689123C2211yescharacteristic, complemented
182#15689122C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic
184#102×D47C2211yescharacteristic, complemented
185C4×#10625329C2211yescharacteristic, complemented
186C4×#10625324C2211yescharacteristic, complemented
187C4×C8×D47C2211yescharacteristic, complemented
188C47×#529C2211yescharacteristic, complemented
189C2×C4×D4×C47C2211yescharacteristic, complemented
190C47×#484C2211yescharacteristic, complemented
191C47×#481C2211yescharacteristic, complemented
192C47×#478C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#463C2211yescharacteristic
195C47×#463C2211yescharacteristic, complemented
196C47×#450C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic
198C4×SD16×C47C2211yescharacteristic, complemented
199C4×SD16×C47C2211yescharacteristic, complemented
200C4×D8×C47C2211yescharacteristic
201C4×D8×C47C2211yescharacteristic, complemented
202C47×#431C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350—21no—
211C2×#10625350—48no—
212C2×#10625350D411yescharacteristic
213C2×#10625350C2311yescharacteristic
214C22×Dic94—21no—
215C22×D188—21no—
216C22×C22⋊D47—21no—
217C22×C22⋊D47—21no—
218C2×D4×D47C2311yescharacteristic
219C2×D4×D47C2311yescharacteristic
220C2×D4×D47C2311yescharacteristic
221C22×C4×D47—21no—
222C22×C4×D47—21no—
223C22×C4×D47—21no—
224#13094051—24no—
225#13094050—24no—
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625335C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×D376C2311yescharacteristic
233C2×D376C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238D8×D47—24no—
239C2×#10625329C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C2×C8×D47C2311yescharacteristic
244C2×C8×D47C2311yescharacteristic
245#13094024C2311yescharacteristic
246#13094023C2311yescharacteristic
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094022C2311yescharacteristic
250#13094021C2311yescharacteristic
251#13094020C2311yescharacteristic
252#13094020C2311yescharacteristic
253#13094019—21no—
254#13094017—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094015—21no—
259#13094015C2311yescharacteristic
260#13094014—21no—
261#13094014—21no—
262#13094012—21no—
263#13094011—21no—
264#13094011C2311yescharacteristic
265#13094010—21no—
266#13094010—21no—
267#13094010—21no—
268#13094009—21no—
269#13094009—21no—
270#13094009—21no—
271#13094009—21no—
272#13094007—21no—
273#13094007—21no—
274#13094006—21no—
275#13094006—21no—
276#13094006—21no—
277#13094006—21no—
278#13094006—21no—
279#13094006—21no—
280#13094006—21no—
281#13094004—21no—
282#13094004C2311yescharacteristic
283#13094004C2311yescharacteristic
284#13094003—21no—
285#13094003—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094002—21no—
291#13094001—21no—
292#13094001—21no—
293#13094001—21no—
294#13094000C2311yescharacteristic
295#13093999C2311yescharacteristic
296#13093999C2311yescharacteristic
297#13093998—21no—
298#13093998—21no—
299#13093998—21no—
300#13093998C2311yescharacteristic
301#13093998C2311yescharacteristic
302#13093997—21no—
303#13093997—21no—
304#13093997—21no—
305#13093997—21no—
306#13093997—21no—
307#13093997—21no—
308#13093996—21no—
309#13093996—21no—
310#13093996—21no—
311#13093995—21no—
312#13093995C2311yescharacteristic
313#13093995C2311yescharacteristic
314#13093995C2311yescharacteristic
315#13093994—21no—
316#13093994—21no—
317#13093994—21no—
318#13093993—21no—
319#13093993—21no—
320#13093992—21no—
321#13093992—21no—
322#13093992—21no—
323Q8×Dic47C2311yescharacteristic
324C4×Dic94—21no—
325C4×Dic94D411yescharacteristic
326C4×Dic94C2311yescharacteristic
327C4×Dic94C2311yescharacteristic
328C4×Dic94C2311yescharacteristic
329C4×D188—21no—
330C4×D188—21no—
331C4×D188D411yescharacteristic
332C4×D188C2311yescharacteristic
333C4×D188C2311yescharacteristic
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336C4×D188C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340#13093986—21no—
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347C4×C22⋊D47—21no—
348C4×C22⋊D47—21no—
349C4×C22⋊D47—21no—
350C4×C22⋊D47—21no—
351C4×C22⋊D47—21no—
352C4×C22⋊D47—21no—
353C4×C22⋊D47D411yescharacteristic
354C4×C22⋊D47D411yescharacteristic
355C4×C22⋊D47C2311yescharacteristic
356C4×C22⋊D47C2311yescharacteristic
357(C22⋊D47)⋊C4—21no—
358(C22⋊D47)⋊C4—21no—
359(C22⋊D47)⋊C4—21no—
360#13093983—21no—
361#13093983D411yescharacteristic
362#13093983C2311yescharacteristic
363#13093982—21no—
364#13093982—21no—
365#13093982—21no—
366#13093982C2311yescharacteristic
367#13093981—21no—
368#13093981—21no—
369#13093981D411yescharacteristic
370#13093981D411yescharacteristic
371#13093980—21no—
372#13093980—21no—
373C4⋊C4×D47—21no—
374C4⋊C4×D47—21no—
375C4⋊C4×D47C2311yescharacteristic
376C4⋊C4×D47C2311yescharacteristic
377C4⋊C4×D47C2311yescharacteristic
378C22⋊C4×D47—21no—
379C22⋊C4×D47—21no—
380C22⋊C4×D47—21no—
381C22⋊C4×D47—21no—
382C22⋊C4×D47—21no—
383C42×D47—21no—
384C42×D47—21no—
385C42×D47C2311yescharacteristic
386C42×D47C2311yescharacteristic
387#13093958C2311yescharacteristic
388#13093958C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093957C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093956C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403#13093949C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093948C2311yescharacteristic
406#13093948C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093947C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427(C2×D47)⋊C8C2311yescharacteristic
428(C2×D47)⋊C8C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430(C2×D47)⋊C8C2311yescharacteristic
431#13093935C2311yescharacteristic
432#13093935C2311yescharacteristic
433#13093934C2311yescharacteristic
434#13093934C2311yescharacteristic
435C4×C47⋊C8C2311yescharacteristic
436C4×C47⋊C8C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C22×D4×C47C2311yescharacteristic
440C23×C4×C47—21no—
441C2×SD16×C47C2311yescharacteristic
442C2×SD16×C47C2311yescharacteristic
443C2×D8×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445#126×C47—21no—
446#125×C47C2311yescharacteristic
447#124×C47C2311yescharacteristic
448#123×C47—21no—
449C22⋊Q8×C47C2311yescharacteristic
450#121×C47C2311yescharacteristic
451C4×Q8×C47C2311yescharacteristic
452C4×D4×C47—21no—
453C4×D4×C47—21no—
454C4×D4×C47—21no—
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460#117×C47—21no—
461C2×C4⋊C4×C47C2311yescharacteristic
462C2×C22⋊C4×C47—21no—
463C2×C42×C47C2311yescharacteristic
464#107×C47C2311yescharacteristic
465#107×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467#106×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469C4⋊C8×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C4×C8×C47C2311yescharacteristic
482C24×C47—21no—
483C23×D47—21no—
484C23×D47—21no—
485C23×D47—21no—
486C2×Q8×C47C2411yescharacteristic
487C2×D4×C47—22no—
488C2×D4×C47—21no—
489C2×D4×C47—21no—
490C2×D4×C47—41no—
491C2×D4×C47C2411yescharacteristic
492C2×D4×C47C2411yescharacteristic
493C2×D4×C47C2411yescharacteristic
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47—44no—
501C22×C4×C47C2×D411yescharacteristic
502C22×C4×C47C2×D411yescharacteristic
503C22×C4×C47C2411yescharacteristic
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⋊D47—44no—
518C2×C22⋊D47—44no—
519C2×C22⋊D47C2×D411yescharacteristic
520C2×C22⋊D47C2×D411yescharacteristic
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524#10625354—22no—
525#10625354—41no—
526D4×D47—22no—
527D4×D47—22no—
528D4×D47—22no—
529D4×D47—41no—
530D4×D47—41no—
531D4×D47—41no—
532#10625350—24no—
533#10625350—22no—
534#10625350—41no—
535#10625350—44no—
536#10625350—44no—
537#10625350—44no—
538#10625350—44no—
539#10625350—44no—
540#10625350—44no—
541#10625350—44no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—21no—
545C2×D188—21no—
546C2×D188—21no—
547C2×D188—44no—
548C2×D188C2×D411yescharacteristic
549C2×D188C2411yescharacteristic
550C2×D188C2411yescharacteristic
551C2×D188C2411yescharacteristic
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—21no—
555C2×C4×D47—21no—
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—44no—
566C2×C4×D47—44no—
567C2×C4×D47—44no—
568C2×C4×D47C2×D411yescharacteristic
569C2×C4×D47C2×D411yescharacteristic
570C2×C4×D47C2×D411yescharacteristic
571C2×C4×D47C2×D411yescharacteristic
572C2×C4×D47C2411yescharacteristic
573C2×C4×D47C2411yescharacteristic
574C2×Dic94—21no—
575C2×Dic94—21no—
576C2×Dic94—21no—
577C2×Dic94—21no—
578C2×Dic94—44no—
579C2×Dic94C2×D411yescharacteristic
580C2×Dic94C2411yescharacteristic
581SD16×C47—22no—
582SD16×C47—41no—
583D8×C47—22no—
584D8×C47—41no—
585C2×C8×C47C2411yescharacteristic
586C2×C8×C47C2411yescharacteristic
587C2×C8×C47C2411yescharacteristic
588C2×C8×C47C2411yescharacteristic
589C4⋊C4×C47—21no—
590C4⋊C4×C47—21no—
591C4⋊C4×C47—21no—
592C4⋊C4×C47—21no—
593C4⋊C4×C47—21no—
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—
607C42×C47—21no—
608C42×C47C2×D411yescharacteristic
609C42×C47C2×D411yescharacteristic
610C42×C47C2411yescharacteristic
611C42×C47C2411yescharacteristic
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617C22⋊Dic47—21no—
618C22⋊Dic47—21no—
619C22⋊Dic47—21no—
620C22⋊Dic47—21no—
621C22⋊Dic47C2×D411yescharacteristic
622C22⋊Dic47C2×D411yescharacteristic
623#10625336—22no—
624#10625336—41no—
625#10625335—22no—
626#10625335—22no—
627#10625334—22no—
628#10625334—22no—
629#10625334—41no—
630#10625334#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47C2×D411yescharacteristic
657C4⋊Dic47C2×D411yescharacteristic
658C4⋊Dic47C2411yescharacteristic
659C4⋊Dic47C2411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677Dic47⋊C4C2×D411yescharacteristic
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47C2×D411yescharacteristic
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2×D411yescharacteristic
687C4×Dic47C2411yescharacteristic
688C4×Dic47C2411yescharacteristic
689#10625329—22no—
690#10625329—41no—
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694C2×C47⋊C8C2411yescharacteristic
695D376—22no—
696D376—22no—
697#10625325—41no—
698#10625325—41no—
699#10625324—22no—
700#10625324—41no—
701C8×D47—22no—
702C8×D47—41no—
703C23×C47—21no—
704C23×C47—21no—
705C23×C47—21no—
706C23×C47—42no—
707C23×C47—42no—
708C23×C47—81no—
709C23×C47C22×D411yescharacteristic
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—42no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47—42no—
718C22×D47—42no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—42no—
732D4×C47—81no—
733D4×C47C2×#4112yes—
734C2×C4×C47—22no—
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—41no—
743C2×C4×C47—42no—
744C2×C4×C47—42no—
745C2×C4×C47—42no—
746C2×C4×C47—42no—
747C2×C4×C47—42no—
748C2×C4×C47—42no—
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C2511yescharacteristic
755C22⋊D47—22no—
756C22⋊D47—22no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—42no—
760C22⋊D47—42no—
761C22⋊D47—42no—
762C22⋊D47—42no—
763C22⋊D47—42no—
764C22⋊D47—42no—
765C22⋊D47—42no—
766C22⋊D47—42no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C22⋊D47—81no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—42no—
776C2×Dic47—42no—
777C2×Dic47—42no—
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—42no—
791D188—42no—
792D188—42no—
793D188—42no—
794D188—81no—
795D188C2×#4112yescomplemented
796C4×D47—22no—
797C4×D47—21no—
798C4×D47—21no—
799C4×D47—21no—
800C4×D47—21no—
801C4×D47—41no—
802C4×D47—41no—
803C4×D47—42no—
804C4×D47—42no—
805C4×D47—42no—
806C4×D47—42no—
807C4×D47—42no—
808C4×D47—42no—
809C4×D47—42no—
810C4×D47—42no—
811C4×D47—42no—
812C4×D47—42no—
813C4×D47—42no—
814C4×D47—81no—
815C4×D47—81no—
816C4×D47AGL(1,ℤ/8)14yescomplemented
817Dic94—22no—
818Dic94—21no—
819Dic94—21no—
820Dic94—42no—
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⋊C8C2×#4112yescomplemented
832#61437—471nomaximal, Sylow
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—22no—
836C22×C47—21no—
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×C47—84no—
846C22×C47C23×D411yescharacteristic
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—21no—
850C2×D47—21no—
851C2×D47—22no—
852C2×D47—21no—
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—84no—
862C2×D47—84no—
863C2×D47—84no—
864C2×D47C2×AGL(1,ℤ/8)12yes—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—41no—
870C4×C47—41no—
871C4×C47—41no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47C2×AGL(1,ℤ/8)12yes—
875C4×C47C22×#4111yescharacteristic
876C4×C47#58511yescharacteristic
877Dic47—21no—
878Dic47—21no—
879Dic47—21no—
880Dic47—21no—
881Dic47—21no—
882Dic47—41no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47—41no—
887Dic47C2×AGL(1,ℤ/8)12yes—
888#3475—471no—
889D4×#41—471no—
890#3397—471no—
891#3384—471no—
892#3367—471no—
893#3366—471no—
894#3354—471no—
895#3343—471no—
896#3343—471no—
897#3330—471no—
898#3325—471no—
899#3310—471no—
900#3310—471no—
901#3306—471no—
902#3306—471no—
903#3272—471no—
904#3264—471no—
905#3264—471no—
906#3171—471no—
907#3171—471no—
908#3167—471no—
909#3106—471no—
910#3106—471no—
911#3105—471no—
912#3105D4711yescharacteristic, complemented
913#3101—471no—
914#3100—471no—
915#2965—471no—
916C4×AGL(1,ℤ/8)—471no—
917C4×AGL(1,ℤ/8)—471no—
918C2×C4×D8—471no—
919C2×C47—42no—
920C2×C47—41no—
921C2×C47—81no—
922C2×C47—81no—
923C2×C47D4×#4111yescharacteristic
924C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
925C2×C47#358411yescharacteristic
926D47—22no—
927D47—41no—
928D47—42no—
929D47—81no—
930D47—81no—
931C22×#41—941no—
932C2×AGL(1,ℤ/8)—471no—
933C2×AGL(1,ℤ/8)—471no—
934C22×D8—471no—
935#556—471no—
936#555—471no—
937#554—471no—
938#553—941no—
939#552—471no—
940#552—471no—
941#552—941no—
942#551—941no—
943#551—941no—
944#550—471no—
945D4×Q8—471no—
946#548—941no—
947#547—471no—
948#547—471no—
949#547—471no—
950#547—471no—
951#546—471no—
952#546—471no—
953#546—941no—
954#546—941no—
955#546—941no—
956D42—471no—
957D42—471no—
958D42—471no—
959#533—471no—
960#532—471no—
961#532—471no—
962#532—471no—
963#529—471no—
964#529—941no—
965#529—941no—
966#529C2×D4711yescharacteristic, complemented
967#525—941no—
968#525—941no—
969#525—941no—
970#525—941no—
971C4×#41—471no—
972C4×#41—471no—
973C4×#41—471no—
974C2×C4×D4—471no—
975C2×C4×D4—471no—
976C2×C4×D4—471no—
977C2×C4×D4C2×D4711yescharacteristic, complemented
978C2×#117—941no—
979#501—471no—
980#501—471no—
981#498—471no—
982#496—471no—
983#496—471no—
984#492—471no—
985#490—471no—
986#490—471no—
987#489—471no—
988#489—471no—
989#487—471no—
990#486—471no—
991#484—471no—
992#484C2×D4711yescharacteristic, complemented
993#483—471no—
994#483—471no—
995#482—471no—
996#482—471no—
997#482—471no—
998#482—471no—
999#481—471no—
1000#481C2×D4711yescharacteristic, complemented
1001#480—471no—
1002#480—471no—
1003#478—471no—
1004#478—471no—
1005#478C2×D4711yescharacteristic, complemented
1006#478C2×D4711yescharacteristic, complemented
1007#477—471no—
1008#477—471no—
1009#476—471no—
1010#476—471no—
1011#476—471no—
1012#476—471no—
1013#474—471no—
1014#474—471no—
1015#469—471no—
1016#469—471no—
1017#469—471no—
1018#469—471no—
1019#468—471no—
1020#468—471no—
1021#468—471no—
1022#468—471no—
1023#465—471no—
1024#465—471no—
1025#465—471no—
1026#465—471no—
1027#463—471no—
1028#463—471no—
1029#463C2×D4711yescharacteristic
1030#463C2×D4711yescharacteristic, complemented
1031#461—471no—
1032#461—471no—
1033#460—471no—
1034#460—471no—
1035#459—471no—
1036#459—471no—
1037#459—471no—
1038#459—471no—
1039#450—471no—
1040#450—471no—
1041#450—471no—
1042#450C2×D4711yescharacteristic, complemented
1043#449—471no—
1044#449—471no—
1045#449—471no—
1046#449—471no—
1047#447—471no—
1048#447—471no—
1049#447—471no—
1050#447C2×D4711yescharacteristic
1051#446—471no—
1052#446—471no—
1053#442—471no—
1054#442—471no—
1055#442—471no—
1056#442—471no—
1057#440—471no—
1058#440—471no—
1059#440—471no—
1060#440—471no—
1061C4×SD16—471no—
1062C4×SD16—471no—
1063C4×SD16—471no—
1064C4×SD16—471no—
1065C4×SD16—471no—
1066C4×SD16—471no—
1067C4×SD16C2×D4711yescharacteristic, complemented
1068C4×SD16C2×D4711yescharacteristic, complemented
1069C4×D8—471no—
1070C4×D8—471no—
1071C4×D8—471no—
1072C4×D8—471no—
1073C4×D8—471no—
1074C4×D8—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079C4×D8C2×D4711yescharacteristic
1080C4×D8C2×D4711yescharacteristic, complemented
1081#436—471no—
1082#436—471no—
1083#435—471no—
1084#435—471no—
1085#435—471no—
1086#435—471no—
1087#431—471no—
1088#431—471no—
1089#431C2×D4711yescharacteristic, complemented
1090#428—471no—
1091#428—471no—
1092C2×#107—471no—
1093#418—471no—
1094#418—471no—
1095#417—471no—
1096#417—471no—
1097C2×#102—471no—
1098C2×#102—471no—
1099C4×M16—471no—
1100C4×M16—471no—
1101C2×C4×C8—471no—
1102C47#6143711yescharacteristic, complemented, Sylow
1103C2×#41—471no—
1104C2×#41—471no—
1105C2×#41—471no—
1106C2×#41—941no—
1107C2×#41—941no—
1108C2×#41—941no—
1109C2×#41—941no—
1110C2×#41—941no—
1111C2×#41—941no—
1112C2×#41—941no—
1113C2×#41—1888no—
1114C22×Q8—941no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—941no—
1119C22×D4—941no—
1120C22×D4—941no—
1121C22×D4C22×D4711yescharacteristic
1122C23×C4—21no—
1123C23×C4—941no—
1124C23×C4—941no—
1125C23×C4—941no—
1126AGL(1,ℤ/8)—944no—
1127AGL(1,ℤ/8)—944no—
1128C2×SD16—471no—
1129C2×SD16—471no—
1130C2×SD16—471no—
1131C2×SD16—471no—
1132C2×SD16—471no—
1133C2×SD16—471no—
1134C2×SD16C22×D4711yescharacteristic
1135C2×SD16C22×D4711yescharacteristic
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8—471no—
1140C2×D8—471no—
1141C2×D8—471no—
1142C2×D8—944no—
1143C2×D8C22×D4711yescharacteristic
1144C2×D8C22×D4711yescharacteristic
1145C2×M16—471no—
1146C2×M16—471no—
1147C2×M16—471no—
1148C2×M16—471no—
1149C22×C8—471no—
1150C22×C8—471no—
1151C4⋊Q8—471no—
1152C4⋊Q8—471no—
1153C4⋊Q8—471no—
1154C4⋊Q8—471no—
1155C4⋊Q8—471no—
1156#127—471no—
1157#127—471no—
1158#127—471no—
1159#126—21no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#126—941no—
1165#125—471no—
1166#125—941no—
1167#125—941no—
1168#125—941no—
1169#125C22×D4711yescharacteristic
1170#124—471no—
1171#124—941no—
1172#124—941no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124C22×D4711yescharacteristic
1177#123—21no—
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—
1191C22⋊Q8—471no—
1192C22⋊Q8—471no—
1193C22⋊Q8—471no—
1194C22⋊Q8—941no—
1195C22⋊Q8—941no—
1196C22⋊Q8—941no—
1197C22⋊Q8—941no—
1198C22⋊Q8—941no—
1199C22⋊Q8—941no—
1200C22⋊Q8—941no—
1201C22⋊Q8—941no—
1202C22⋊Q8—941no—
1203C22⋊Q8—941no—
1204C22⋊Q8—941no—
1205C22⋊Q8C22×D4711yescharacteristic
1206#121—471no—
1207#121—471no—
1208#121—471no—
1209#121—471no—
1210#121—471no—
1211#121—471no—
1212#121—471no—
1213#121—941no—
1214#121—941no—
1215#121—941no—
1216#121—941no—
1217#121—941no—
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#121C22×D4711yescharacteristic
1227#120—941no—
1228#120—941no—
1229#120—941no—
1230#120—941no—
1231#120—941no—
1232#120—941no—
1233#120—941no—
1234#120—941no—
1235C4×Q8—471no—
1236C4×Q8—471no—
1237C4×Q8—471no—
1238C4×Q8—471no—
1239C4×Q8—471no—
1240C4×Q8—941no—
1241C4×Q8C22×D4711yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—471no—
1246C4×D4—471no—
1247C4×D4—471no—
1248C4×D4—471no—
1249C4×D4—471no—
1250C4×D4—471no—
1251C4×D4—471no—
1252C4×D4—471no—
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
1279C4×D4C22×D4711yescharacteristic
1280C4×D4C22×D4711yescharacteristic
1281#117—21no—
1282#117—471no—
1283#117—471no—
1284#117—471no—
1285#117—471no—
1286#117—471no—
1287#117—941no—
1288#117—941no—
1289#117—941no—
1290#117—941no—
1291#117—941no—
1292#117—941no—
1293#117—941no—
1294#117—941no—
1295C2×C4⋊C4—471no—
1296C2×C4⋊C4—471no—
1297C2×C4⋊C4—471no—
1298C2×C4⋊C4—941no—
1299C2×C4⋊C4—941no—
1300C2×C4⋊C4C22×D4711yescharacteristic
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—941no—
1303C2×C22⋊C4—941no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—471no—
1309C2×C42—941no—
1310C2×C42—941no—
1311C2×C42C22×D4711yescharacteristic
1312#107—471no—
1313#107—471no—
1314#107—471no—
1315#107—471no—
1316#107—471no—
1317#107—471no—
1318#107C22×D4711yescharacteristic
1319#107C22×D4711yescharacteristic
1320#106—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106—471no—
1325#106—471no—
1326#106C22×D4711yescharacteristic
1327#106C22×D4711yescharacteristic
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8C22×D4711yescharacteristic
1333C4⋊C8C22×D4711yescharacteristic
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103C22×D4711yescharacteristic
1341#103C22×D4711yescharacteristic
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
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#102C22×D4711yescharacteristic
1361#102C22×D4711yescharacteristic
1362#102C22×D4711yescharacteristic
1363#102C22×D4711yescharacteristic
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366C22⋊C8—471no—
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8C22×D4711yescharacteristic
1371C22⋊C8C22×D4711yescharacteristic
1372#97—471no—
1373#97—471no—
1374#97—471no—
1375#97—471no—
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C4×C8—471no—
1380C4×C8C22×D4711yescharacteristic
1381C4×C8C22×D4711yescharacteristic
1382C24—21no—
1383C24—941no—
1384C24—941no—
1385C24—941no—
1386#41—944no—
1387#41—942no—
1388#41—942no—
1389#41—1881no—
1390#41—1884no—
1391#41—1884no—
1392#41—1884no—
1393#41—1884no—
1394#41—1884no—
1395#41—1884no—
1396#41—1884no—
1397#41—1881no—
1398C2×Q8—471no—
1399C2×Q8—471no—
1400C2×Q8—941no—
1401C2×Q8—941no—
1402C2×Q8—941no—
1403C2×Q8—941no—
1404C2×Q8—1884no—
1405C2×Q8C23×D4711yescharacteristic
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—942no—
1427C2×D4—942no—
1428C2×D4—942no—
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—1884no—
1438C2×D4—1881no—
1439C2×D4—1881no—
1440C2×D4—1881no—
1441C2×D4—1884no—
1442C2×D4—1884no—
1443C2×D4C23×D4711yescharacteristic
1444C2×D4C23×D4711yescharacteristic
1445C2×D4C23×D4711yescharacteristic
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—44no—
1453C22×C4—471no—
1454C22×C4—471no—
1455C22×C4—471no—
1456C22×C4—471no—
1457C22×C4—471no—
1458C22×C4—471no—
1459C22×C4—941no—
1460C22×C4—941no—
1461C22×C4—941no—
1462C22×C4—941no—
1463C22×C4—941no—
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—1884no—
1476C22×C4—1884no—
1477C22×C4—1884no—
1478C22×C4D4×D4711yescharacteristic
1479C22×C4D4×D4711yescharacteristic
1480C22×C4C23×D4711yescharacteristic
1481SD16—22no—
1482SD16—41no—
1483SD16—942no—
1484SD16—942no—
1485SD16—942no—
1486SD16—1881no—
1487SD16—1881no—
1488SD16—1881no—
1489D8—22no—
1490D8—41no—
1491D8—474no—
1492D8—942no—
1493D8—942no—
1494D8—942no—
1495D8—942no—
1496D8—1881no—
1497M16—942no—
1498M16—942no—
1499M16—1881no—
1500M16—1881no—
1501C2×C8—471no—
1502C2×C8—471no—
1503C2×C8—471no—
1504C2×C8—471no—
1505C2×C8—942no—
1506C2×C8—1881no—
1507C2×C8C23×D4711yescharacteristic
1508C2×C8C23×D4711yescharacteristic
1509C2×C8C23×D4711yescharacteristic
1510C2×C8C23×D4711yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—471no—
1520C4⋊C4—471no—
1521C4⋊C4—471no—
1522C4⋊C4—471no—
1523C4⋊C4—471no—
1524C4⋊C4—471no—
1525C4⋊C4—471no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
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⋊C4—941no—
1541C4⋊C4—941no—
1542C4⋊C4—941no—
1543C4⋊C4C23×D4711yescharacteristic
1544C4⋊C4C23×D4711yescharacteristic
1545C4⋊C4C23×D4711yescharacteristic
1546C4⋊C4C23×D4711yescharacteristic
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—471no—
1559C22⋊C4—471no—
1560C22⋊C4—471no—
1561C22⋊C4—471no—
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—
1587C42—21no—
1588C42—471no—
1589C42—471no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—941no—
1595C42—941no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42D4×D4711yescharacteristic
1600C42D4×D4711yescharacteristic
1601C42C23×D4711yescharacteristic
1602C42C23×D4711yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—81no—
1609C23—471no—
1610C23—471no—
1611C23—941no—
1612C23—941no—
1613C23—941no—
1614C23—3761no—
1615C23—3761no—
1616C23—3761no—
1617C23—1882no—
1618C23—1882no—
1619C23—1882no—
1620C23—1882no—
1621C23—1882no—
1622C23—1882no—
1623C23C2×D4×D4711yescharacteristic
1624Q8—21no—
1625Q8—21no—
1626Q8—942no—
1627Q8—941no—
1628Q8—941no—
1629Q8—3761no—
1630Q8—1882no—
1631Q8—1882no—
1632Q8—1882no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—42no—
1639D4—81no—
1640D4—472no—
1641D4—942no—
1642D4—942no—
1643D4—942no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—941no—
1648D4—941no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—1882no—
1654D4—1882no—
1655D4—1882no—
1656D4—1882no—
1657D4—1882no—
1658D4—1882no—
1659D4—1882no—
1660D4—1882no—
1661D4—1882no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4—1882no—
1666D4—1882no—
1667D4#41×D4712yes—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—471no—
1684C2×C4—474no—
1685C2×C4—471no—
1686C2×C4—471no—
1687C2×C4—471no—
1688C2×C4—471no—
1689C2×C4—471no—
1690C2×C4—942no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—3761no—
1701C2×C4—3761no—
1702C2×C4—1881no—
1703C2×C4—1881no—
1704C2×C4—1882no—
1705C2×C4—1882no—
1706C2×C4—1882no—
1707C2×C4—1882no—
1708C2×C4—1882no—
1709C2×C4—1882no—
1710C2×C4—1882no—
1711C2×C4—1882no—
1712C2×C4—1882no—
1713C2×C4—1882no—
1714C2×C4—1882no—
1715C2×C4—1882no—
1716C2×C4—1882no—
1717C2×C4—1882no—
1718C2×C4C2×D4×D4711yescharacteristic
1719C2×C4C2×D4×D4711yescharacteristic
1720C2×C4C2×D4×D4711yescharacteristic
1721C2×C4C2×D4×D4711yescharacteristic
1722C2×C4C2×D4×D4711yescharacteristic
1723C2×C4C24×D4711yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—472no—
1729C8—941no—
1730C8—941no—
1731C8—941no—
1732C22—21no—
1733C22—21no—
1734C22—22no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—84no—
1745C22—472no—
1746C22—941no—
1747C22—941no—
1748C22—941no—
1749C22—941no—
1750C22—942no—
1751C22—941no—
1752C22—3764no—
1753C22—3764no—
1754C22—3764no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22C22×D4×D4711yescharacteristic
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—472no—
1774C4—941no—
1775C4—941no—
1776C4—941no—
1777C4—941no—
1778C4—941no—
1779C4—1881no—
1780C4—1881no—
1781C4—1881no—
1782C4—1881no—
1783C4—1881no—
1784C4AGL(1,ℤ/8)×D4712yes—
1785C4C2×#41×D4711yescharacteristic
1786C4#1568995911yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—81no—
1790C2—81no—
1791C2—942no—
1792C2—3761no—
1793C2—3761no—
1794C2—1881no—
1795C2—1882no—
1796C2#2025687111yescharacteristic
1797C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1798C2#2025815711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3105C2
socleC22×C47C23×D4
hypercenter#3105D47
hypocenterC47#61437
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #20256944C2semidirect
2. D4×#10625350C2semidirect
3. #20256411C2semidirect
4. #20256290C2semidirect
5. #20256101C2semidirect
6. #20256098C2semidirect
7. #20255976C2semidirect
8. #20255835C2semidirect
9. #20255831C2semidirect
10. #20255691C2semidirect
11. #20255623C2semidirect
12. #20255406C2semidirect
13. #20255402C2semidirect
14. #20255356C2semidirect
15. #20255352C2semidirect
16. #20254986C2semidirect
17. #20254874C2semidirect
18. #20254866C2semidirect
19. #20253984C2semidirect
20. #20253981C2semidirect
21. #20253944C2semidirect
22. #20253449C2semidirect
23. #20253446C2semidirect
24. #20253433C2semidirect
25. #20253394C2semidirect
26. #20253386C2semidirect
27. #20252352C2semidirect
28. C4×#13094051C2semidirect
29. C4×#13094050C2semidirect
30. C4×D8×D47C2semidirect
31. C47×#3105C2semidirect
36. #15689842C22semidirect
37. #15689837C22semidirect
38. #15689829C22semidirect
40. #15689811C22semidirect
42. #15689807C22semidirect
45. #15689794C22semidirect
46. D4×Dic94C22semidirect
49. #15689775C22semidirect
51. #15689774C22semidirect
52. #15689770C22semidirect
54. #15689766C22semidirect
59. D4×C22⋊D47C22semidirect
60. #15689677C22semidirect
61. #15689673C22semidirect
63. #15689670C22semidirect
65. #15689655C22semidirect
71. C4×#10625354C22semidirect
73. C4×#10625350C22semidirect
75. C4×D4×D47C22semidirect
76. C4×D4×D47C22semidirect
78. #15689533C22semidirect
79. #15689531C22semidirect
80. #15689520C22semidirect
81. #15689513C22semidirect
82. #15689511C22semidirect
83. #15689494C22semidirect
84. #15689489C22semidirect
85. #15689486C22semidirect
86. #15689482C22semidirect
87. #15689481C22semidirect
88. #15689472C22semidirect
89. #15689468C22semidirect
90. #15689460C22semidirect
91. #15689455C22semidirect
92. #15689452C22semidirect
93. #15689449C22semidirect
94. #15689448C22semidirect
95. #15689448C22semidirect
96. #15689445C22semidirect
97. #15689440C22semidirect
98. #15689438C22semidirect
99. #15689435C22semidirect
100. #15689426C22semidirect
101. #15689425C22semidirect
102. #15689419C22semidirect
103. #15689416C22semidirect
104. #15689414C22semidirect
105. #15689412C22semidirect
106. #15689412C22semidirect
107. #15689411C22semidirect
108. #15689402C22semidirect
109. #15689401C22semidirect
110. #15689375C22semidirect
111. #15689374C22semidirect
112. #15689374C22semidirect
113. #15689373C22semidirect
114. #15689371C22semidirect
115. #15689371C22semidirect
116. #15689370C22semidirect
117. #15689368C22semidirect
118. #15689355C22semidirect
119. #15689353C22semidirect
120. #15689351C22semidirect
121. #15689349C22semidirect
122. #15689337C22semidirect
124. #15689327C22semidirect
125. #15689326C22semidirect
126. #15689324C22semidirect
127. #15689321C22semidirect
128. #15689319C22semidirect
129. #15689317C22semidirect
130. #15689317C22semidirect
131. #15689316C22semidirect
133. #15689275C22semidirect
135. #15689271C22semidirect
136. #15689270C22semidirect
137. #15689270C22semidirect
138. #15689267C22semidirect
139. #15689258C22semidirect
141. #15689255C22semidirect
142. #15689252C22semidirect
143. #15689252C22semidirect
144. #15689234C22semidirect
146. #15689233C22semidirect
148. #15689226C22semidirect
149. #15689224C22semidirect
150. #15689223C22semidirect
151. #15689223C22semidirect
152. C4×#10625325C22semidirect
153. C4×#10625325C22semidirect
154. C4×#10625336C22semidirect
155. C4×#10625336C22semidirect
156. C4×#10625335C22semidirect
157. C4×#10625335C22semidirect
158. C4×D376C22semidirect
159. C4×D376C22semidirect
161. #15689205C22semidirect
163. C4×#10625334C22semidirect
164. C4×#10625334C22semidirect
165. C4×#10625334C22semidirect
167. #15689203C22semidirect
168. #15689198C22semidirect
169. #15689198C22semidirect
170. #15689197C22semidirect
171. #15689197C22semidirect
172. #15689193C22semidirect
173. #15689193C22semidirect
174. #15689174C22semidirect
175. #15689174C22semidirect
176. #15689163C22semidirect
177. #15689162C22semidirect
178. #107×D47C22semidirect
179. #15689128C22semidirect
180. #15689126C22semidirect
181. #15689123C22semidirect
182. #15689122C22semidirect
184. #102×D47C22semidirect
185. C4×#10625329C22semidirect
186. C4×#10625324C22semidirect
187. C4×C8×D47C22semidirect
188. C47×#529C22semidirect
189. C2×C4×D4×C47C22semidirect
190. C47×#484C22semidirect
191. C47×#481C22semidirect
192. C47×#478C22semidirect
193. C47×#478C22semidirect
195. C47×#463C22semidirect
196. C47×#450C22semidirect
198. C4×SD16×C47C22semidirect
199. C4×SD16×C47C22semidirect
201. C4×D8×C47C22semidirect
202. C47×#431C22semidirect
630. #10625334#41semidirect
795. D188C2×#41semidirect
816. C4×D47AGL(1,ℤ/8)semidirect
831. C47⋊C8C2×#41semidirect
912. #3105D47semidirect
966. #529C2×D47semidirect
977. C2×C4×D4C2×D47semidirect
992. #484C2×D47semidirect
1000. #481C2×D47semidirect
1005. #478C2×D47semidirect
1006. #478C2×D47semidirect
1030. #463C2×D47semidirect
1042. #450C2×D47semidirect
1067. C4×SD16C2×D47semidirect
1068. C4×SD16C2×D47semidirect
1080. C4×D8C2×D47semidirect
1089. #431C2×D47semidirect
1102. C47#61437semidirect

Maximal subgroups

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

subgroupindex
#202569442
D4×#106253502
#202564112
#202562902
#202561012
#202560982
#202559762
#202558352
#202558312
#202556912
#202556232
#202554062
#202554022
#202553562
#202553522
#202549862
#202548742
#202548662
#202539842
#202539812
#202539442
#202534492
#202534462
#202534332
#202533942
#202533862
#202523522
C4×#130940512
C4×#130940502
C4×D8×D472
C47×#31052
#6143747