Finite Group Databasebeta

← #27097876

Subgroups — #27097876

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#20256939C211yesmaximal, characteristic, complemented
2#20256875C211yesmaximal, characteristic, complemented
3#20256411C211yesmaximal, characteristic, complemented
4#20256282C211yesmaximal, characteristic, complemented
5#20256103C211yesmaximal, characteristic, complemented
6#20256096C211yesmaximal, characteristic, complemented
7#20255976C211yesmaximal, characteristic, complemented
8#20255826C211yesmaximal, characteristic, complemented
9#20255822C211yesmaximal, characteristic, complemented
10#20255689C211yesmaximal, characteristic, complemented
11#20255625C211yesmaximal, characteristic, complemented
12#20255415C211yesmaximal, characteristic, complemented
13#20255411C211yesmaximal, characteristic, complemented
14#20255345C211yesmaximal, characteristic, complemented
15#20254981C211yesmaximal, characteristic, complemented
16#20254869C211yesmaximal, characteristic, complemented
17#20254861C211yesmaximal, characteristic, complemented
18#20253986C211yesmaximal, characteristic, complemented
19#20253978C211yesmaximal, characteristic, complemented
20#20253942C211yesmaximal, characteristic, complemented
21#20253450C211yesmaximal, characteristic, complemented
22#20253441C211yesmaximal, characteristic, complemented
23#20253434C211yesmaximal, characteristic, complemented
24#20253432C211yesmaximal, characteristic, complemented
25#20253393C211yesmaximal, characteristic, complemented
26#20253383C211yesmaximal, characteristic, complemented
27#20252348C211yesmaximal, characteristic, complemented
28#20252201C211yesmaximal, characteristic, complemented
29#20252199C211yesmaximal, characteristic, complemented
30C2×#15689203C211yesmaximal, characteristic, complemented
31C47×#3306C211yesmaximal, characteristic, complemented
32C2×#41×D47—21no—
33C2×#13094049C2211yescharacteristic
34C2×#13094048C2211yescharacteristic
35C22×#10625334C2211yescharacteristic
36#15689842C2211yescharacteristic, complemented
37#15689837C2211yescharacteristic, complemented
38#15689832C2211yescharacteristic, complemented
39#15689816—21no—
40#15689815C2211yescharacteristic, complemented
41#15689813C2211yescharacteristic, complemented
42#15689810—21no—
43#15689804—21no—
44#15689799—21no—
45#15689794C2211yescharacteristic, complemented
46#15689788C2211yescharacteristic, complemented
47#15689783—21no—
48#15689774C2211yescharacteristic
49#15689774C2211yescharacteristic, complemented
50#15689772C2211yescharacteristic, complemented
51#15689767C2211yescharacteristic, complemented
52#15689765—21no—
53#15689765—21no—
54#15689761—21no—
55D4×D188C2211yescharacteristic
56#15689757C2211yescharacteristic
57#15689757C2211yescharacteristic, complemented
58#15689675C2211yescharacteristic, complemented
59#15689674C2211yescharacteristic, complemented
60#15689668C2211yescharacteristic
61#15689668C2211yescharacteristic, complemented
62#15689654—21no—
63#15689654C2211yescharacteristic, complemented
64#15689652C2211yescharacteristic, complemented
65#15689650—21no—
66#15689636—21no—
67#15689631—21no—
68#15689631—21no—
69#15689629—21no—
70#41×Dic47C2211yescharacteristic, complemented
71C4×#10625352C2211yescharacteristic
72C4×#10625352C2211yescharacteristic, complemented
73C2×D4×Dic47C2211yescharacteristic, complemented
74C2×#13093986C2211yescharacteristic
75C2×#13093986C2211yescharacteristic, complemented
76C4×D4×D47C2211yescharacteristic, complemented
77C2×#13093980—21no—
78#15689530C2211yescharacteristic, complemented
79#15689529C2211yescharacteristic, complemented
80#15689520C2211yescharacteristic, complemented
81#15689513C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689494C2211yescharacteristic, complemented
84#15689488C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689481C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689458C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689453C2211yescharacteristic, complemented
92#15689449C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic, complemented
94#15689448C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689440C2211yescharacteristic, complemented
97#15689437C2211yescharacteristic, complemented
98#15689434C2211yescharacteristic, complemented
99#15689424C2211yescharacteristic, complemented
100#15689423C2211yescharacteristic, complemented
101#15689422C2211yescharacteristic, complemented
102#15689422C2211yescharacteristic, complemented
103#15689416C2211yescharacteristic, complemented
104#15689415C2211yescharacteristic, complemented
105#15689412C2211yescharacteristic, complemented
106#15689412C2211yescharacteristic, complemented
107#15689411C2211yescharacteristic, complemented
108#15689401C2211yescharacteristic, complemented
109#15689401C2211yescharacteristic, complemented
110#15689375C2211yescharacteristic, complemented
111#15689375C2211yescharacteristic, complemented
112#15689374C2211yescharacteristic, complemented
113#15689372C2211yescharacteristic, complemented
114#15689372C2211yescharacteristic, complemented
115#15689369C2211yescharacteristic, complemented
116#15689367C2211yescharacteristic, complemented
117#15689354C2211yescharacteristic, complemented
118#15689352C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic
121#15689337C2211yescharacteristic, complemented
122#15689335C2211yescharacteristic
123#15689327C2211yescharacteristic, complemented
124#15689327C2211yescharacteristic, complemented
125#15689324C2211yescharacteristic, complemented
126#15689321C2211yescharacteristic, complemented
127#15689318C2211yescharacteristic, complemented
128#15689316C2211yescharacteristic, complemented
129#15689316C2211yescharacteristic, complemented
130#15689316C2211yescharacteristic, complemented
131#15689276C2211yescharacteristic
132#15689276C2211yescharacteristic, complemented
133#15689273C2211yescharacteristic
134#15689272C2211yescharacteristic, complemented
135#15689269C2211yescharacteristic, complemented
136#15689269C2211yescharacteristic, complemented
137#15689268C2211yescharacteristic, complemented
138#15689257C2211yescharacteristic, complemented
139#15689256C2211yescharacteristic
140#15689255C2211yescharacteristic
141#15689252C2211yescharacteristic, complemented
142#15689251C2211yescharacteristic, complemented
143#15689233C2211yescharacteristic
144#15689232C2211yescharacteristic
145#15689232C2211yescharacteristic, complemented
146#15689226C2211yescharacteristic, complemented
147#15689226C2211yescharacteristic, complemented
148#15689225C2211yescharacteristic, complemented
149#15689223C2211yescharacteristic, complemented
150#15689214C2211yescharacteristic, complemented
151SD16×Dic47C2211yescharacteristic, complemented
152#15689210C2211yescharacteristic, complemented
153#15689210C2211yescharacteristic, complemented
154#15689210C2211yescharacteristic, complemented
155#15689208C2211yescharacteristic, complemented
156#15689208C2211yescharacteristic, complemented
157#15689208C2211yescharacteristic, complemented
158D8×Dic47C2211yescharacteristic, complemented
159D8×Dic47C2211yescharacteristic, complemented
160#15689203C2211yescharacteristic
161#15689203C2211yescharacteristic
162#15689203C2211yescharacteristic
163#15689203C2211yescharacteristic
164#15689203C2211yescharacteristic, complemented
165#15689203C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689203C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689203C2211yescharacteristic, complemented
170#15689199C2211yescharacteristic, complemented
171#15689198C2211yescharacteristic, complemented
172#15689195C2211yescharacteristic, complemented
173#15689194C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175#15689175C2211yescharacteristic, complemented
176#15689173C2211yescharacteristic, complemented
177#15689173C2211yescharacteristic, complemented
178#15689163C2211yescharacteristic, complemented
179#15689162C2211yescharacteristic, complemented
180C2×#13093957C2211yescharacteristic, complemented
181#15689129C2211yescharacteristic, complemented
182#15689126C2211yescharacteristic, complemented
183#15689121C2211yescharacteristic, complemented
184C2×#13093946C2211yescharacteristic
185#15689075C2211yescharacteristic, complemented
186M16×Dic47C2211yescharacteristic, complemented
187C2×C8×Dic47C2211yescharacteristic, complemented
188C47×#547C2211yescharacteristic
189C47×#546C2211yescharacteristic, complemented
190C47×#489C2211yescharacteristic, complemented
191C47×#483C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#476C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#442C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352D411yescharacteristic
210C2×#10625352C2311yescharacteristic
211#41×D47—48no—
212C2×Q8×D47—21no—
213C22×D188C2311yescharacteristic
214C22×D188C2311yescharacteristic
215C2×D4×D47—21no—
216C2×D4×D47—21no—
217C2×D4×D47—21no—
218C2×D4×D47C2311yescharacteristic
219C23×Dic47—21no—
220C22×C4×D47—21no—
221C22×C4×D47—21no—
222C22×C4×D47—21no—
223#13094049—24no—
224#13094048—24no—
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625335C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625336C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625334—24no—
233C2×#10625334C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625329C2311yescharacteristic
240C2×#10625324C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C22×C47⋊C8C2311yescharacteristic
243#13094023C2311yescharacteristic
244#13094023C2311yescharacteristic
245#13094023C2311yescharacteristic
246#13094022C2311yescharacteristic
247#13094021C2311yescharacteristic
248#13094020C2311yescharacteristic
249#13094020C2311yescharacteristic
250#13094019—21no—
251#13094017—21no—
252#13094017—21no—
253#13094017—21no—
254#13094017—21no—
255#13094017—21no—
256#13094016C2311yescharacteristic
257#13094015—21no—
258#13094015C2311yescharacteristic
259#13094014—21no—
260#13094014—21no—
261#13094013—21no—
262#13094011—21no—
263#13094011C2311yescharacteristic
264#13094010—21no—
265#13094010—21no—
266#13094010—21no—
267#13094009—21no—
268#13094009—21no—
269#13094008—21no—
270#13094007—21no—
271#13094007—21no—
272#13094007—21no—
273#13094006—21no—
274#13094005—21no—
275#13094005—21no—
276#13094005—21no—
277#13094005—21no—
278#13094003—21no—
279#13094003C2311yescharacteristic
280#13094003C2311yescharacteristic
281#13094002—21no—
282#13094002—21no—
283#13094002—21no—
284#13094002—21no—
285#13094001—21no—
286#13094001—21no—
287#13094001—21no—
288#13094001—21no—
289#13094000—21no—
290#13094000C2311yescharacteristic
291#13093999—21no—
292#13093999—21no—
293#13093999C2311yescharacteristic
294#13093999C2311yescharacteristic
295#13093998—21no—
296#13093998C2311yescharacteristic
297#13093998C2311yescharacteristic
298#13093997—21no—
299#13093997—21no—
300#13093997—21no—
301#13093997—21no—
302#13093996—21no—
303#13093996—21no—
304#13093996—21no—
305#13093996—21no—
306#13093996—21no—
307#13093995C2311yescharacteristic
308#13093994—21no—
309#13093994—21no—
310#13093994—21no—
311#13093994—21no—
312#13093993—21no—
313#13093992—21no—
314#13093992—21no—
315Q8×Dic47C2311yescharacteristic
316Q8×Dic47C2311yescharacteristic
317C4×Dic94C2311yescharacteristic
318C4×Dic94C2311yescharacteristic
319#13093989—21no—
320#13093989D411yescharacteristic
321#13093989C2311yescharacteristic
322C4×D188C2311yescharacteristic
323D4×Dic47—21no—
324D4×Dic47—21no—
325D4×Dic47—21no—
326D4×Dic47—21no—
327D4×Dic47—21no—
328D4×Dic47D411yescharacteristic
329D4×Dic47C2311yescharacteristic
330D4×Dic47C2311yescharacteristic
331D4×Dic47C2311yescharacteristic
332D4×Dic47C2311yescharacteristic
333D4×Dic47C2311yescharacteristic
334D4×Dic47C2311yescharacteristic
335#13093986—21no—
336#13093986—21no—
337#13093986—21no—
338#13093986—21no—
339#13093986—21no—
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347C4×C22⋊D47—21no—
348C4×C22⋊D47—21no—
349C4×C22⋊D47C2311yescharacteristic
350C4×C22⋊D47C2311yescharacteristic
351(C22⋊D47)⋊C4—21no—
352(C22⋊D47)⋊C4—21no—
353(C22⋊D47)⋊C4—21no—
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4D411yescharacteristic
357(C22⋊D47)⋊C4D411yescharacteristic
358#13093983—21no—
359#13093983C2311yescharacteristic
360#13093982D411yescharacteristic
361#13093982C2311yescharacteristic
362#13093980—21no—
363#13093980—21no—
364#13093980—21no—
365#13093980—21no—
366#13093980—21no—
367#13093980—21no—
368#13093980—21no—
369#13093980—21no—
370#13093980D411yescharacteristic
371#13093980D411yescharacteristic
372C2×C4⋊Dic47C2311yescharacteristic
373C2×Dic47⋊C4—21no—
374C2×Dic47⋊C4—21no—
375C4⋊C4×D47C2311yescharacteristic
376C2×C22⋊Dic47—21no—
377C2×C22⋊Dic47—21no—
378C2×(C2×D47)⋊C4—21no—
379C2×(C2×D47)⋊C4—21no—
380C22⋊C4×D47—21no—
381C2×C4×Dic47—21no—
382C2×C4×Dic47—21no—
383C2×C4×Dic47C2311yescharacteristic
384C2×C4×Dic47C2311yescharacteristic
385C42×D47C2311yescharacteristic
386#13093958C2311yescharacteristic
387#13093958C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093957C2311yescharacteristic
393#13093957C2311yescharacteristic
394#13093956C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399C4⋊(C47⋊C8)C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404#13093949C2311yescharacteristic
405#13093948C2311yescharacteristic
406#13093947C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093947C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093946C2311yescharacteristic
415#13093946C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
420#13093945C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426C22⋊(C47⋊C8)C2311yescharacteristic
427C22⋊(C47⋊C8)C2311yescharacteristic
428(C2×D47)⋊C8C2311yescharacteristic
429(C2×D47)⋊C8C2311yescharacteristic
430#13093935C2311yescharacteristic
431#13093934C2311yescharacteristic
432#13093934C2311yescharacteristic
433C8×Dic47C2311yescharacteristic
434C8×Dic47C2311yescharacteristic
435C8×Dic47C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C2×#41×C47—21no—
440C2×#41×C47C2311yescharacteristic
441C22×D4×C47C2311yescharacteristic
442C2×SD16×C47C2311yescharacteristic
443C2×D8×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×M16×C47C2311yescharacteristic
446C22×C8×C47C2311yescharacteristic
447C4⋊Q8×C47C2311yescharacteristic
448#124×C47C2311yescharacteristic
449#123×C47—21no—
450#123×C47—21no—
451#123×C47—21no—
452C22⋊Q8×C47—21no—
453C22⋊Q8×C47C2311yescharacteristic
454#121×C47—21no—
455#121×C47C2311yescharacteristic
456#121×C47C2311yescharacteristic
457#121×C47C2311yescharacteristic
458#120×C47—21no—
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461C4×D4×C47C2311yescharacteristic
462C2×C4⋊C4×C47C2311yescharacteristic
463C2×C4⋊C4×C47C2311yescharacteristic
464C2×C22⋊C4×C47—21no—
465#106×C47C2311yescharacteristic
466#106×C47C2311yescharacteristic
467#106×C47C2311yescharacteristic
468C4⋊C8×C47C2311yescharacteristic
469#103×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
478#102×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481#97×C47C2311yescharacteristic
482C24×C47—21no—
483C23×D47—21no—
484C23×D47—21no—
485C23×D47—21no—
486#41×C47—22no—
487#41×C47—41no—
488#41×C47—44no—
489C2×Q8×C47—21no—
490C2×Q8×C47C2411yescharacteristic
491C2×D4×C47—22no—
492C2×D4×C47—21no—
493C2×D4×C47—21no—
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—21no—
497C2×D4×C47—41no—
498C2×D4×C47C2×D411yescharacteristic
499C2×D4×C47C2411yescharacteristic
500C2×D4×C47C2411yescharacteristic
501C2×D4×C47C2411yescharacteristic
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47—21no—
506C22×C4×C47—21no—
507C22×C4×C47C2411yescharacteristic
508C22×C4×C47C2411yescharacteristic
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—21no—
518C2×C22⋊D47C2×D411yescharacteristic
519C2×C22⋊D47C2×D411yescharacteristic
520C22×Dic47—21no—
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—44no—
529C22×Dic47C2×D411yescharacteristic
530C22×Dic47C2×D411yescharacteristic
531C22×Dic47C2×D411yescharacteristic
532C22×Dic47C2×D411yescharacteristic
533#10625354—44no—
534Q8×D47—44no—
535#10625352—24no—
536#10625352—22no—
537#10625352—41no—
538#10625352—44no—
539#10625352—44no—
540D4×D47—22no—
541D4×D47—41no—
542D4×D47—44no—
543D4×D47—44no—
544D4×D47—44no—
545#10625350—44no—
546#10625350—44no—
547#10625350—44no—
548C2×D188—22no—
549C2×D188—22no—
550C2×D188—21no—
551C2×D188—21no—
552C2×D188—21no—
553C2×D188—21no—
554C2×D188—21no—
555C2×D188—21no—
556C2×D188—41no—
557C2×D188—41no—
558C2×D188C2411yescharacteristic
559C2×D188C2411yescharacteristic
560C2×D188C2411yescharacteristic
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—21no—
564C2×C4×D47—21no—
565C2×C4×D47—21no—
566C2×C4×D47—21no—
567C2×C4×D47—21no—
568C2×C4×D47—21no—
569C2×C4×D47—21no—
570C2×C4×D47—44no—
571C2×C4×D47—44no—
572C2×C4×D47—44no—
573C2×C4×D47C2×D411yescharacteristic
574C2×C4×D47C2×D411yescharacteristic
575C2×C4×D47C2411yescharacteristic
576C2×Dic94—21no—
577C2×Dic94—21no—
578C2×Dic94—21no—
579C2×Dic94C2×D411yescharacteristic
580C2×Dic94C2411yescharacteristic
581SD16×C47—41no—
582D8×C47—22no—
583D8×C47—41no—
584M16×C47—41no—
585C2×C8×C47—41no—
586C2×C8×C47C2411yescharacteristic
587C2×C8×C47C2411yescharacteristic
588C2×C8×C47C2411yescharacteristic
589C2×C8×C47C2411yescharacteristic
590C4⋊C4×C47—21no—
591C4⋊C4×C47—21no—
592C4⋊C4×C47—21no—
593C4⋊C4×C47—21no—
594C4⋊C4×C47C2×D411yescharacteristic
595C4⋊C4×C47C2411yescharacteristic
596C4⋊C4×C47C2411yescharacteristic
597C4⋊C4×C47C2411yescharacteristic
598C4⋊C4×C47C2411yescharacteristic
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47—21no—
603C22⋊C4×C47—21no—
604C22⋊C4×C47—21no—
605C22⋊C4×C47—21no—
606C22⋊C4×C47—21no—
607C22⋊C4×C47C2×D411yescharacteristic
608C22⋊C4×C47C2×D411yescharacteristic
609C42×C47C2411yescharacteristic
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
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⋊Dic47—21no—
622C22⋊Dic47C2×D411yescharacteristic
623C22⋊Dic47C2×D411yescharacteristic
624#10625336—22no—
625#10625336—22no—
626#10625336—41no—
627#10625335—22no—
628#10625334—22no—
629#10625334—22no—
630#10625334—22no—
631#10625334—22no—
632#10625334—41no—
633#10625334#4114yescomplemented
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4—21no—
641(C2×D47)⋊C4—21no—
642(C2×D47)⋊C4—21no—
643(C2×D47)⋊C4—21no—
644(C2×D47)⋊C4—21no—
645(C2×D47)⋊C4—21no—
646(C2×D47)⋊C4—21no—
647(C2×D47)⋊C4—21no—
648(C2×D47)⋊C4C2×D411yescharacteristic
649(C2×D47)⋊C4C2×D411yescharacteristic
650C4⋊Dic47—21no—
651C4⋊Dic47—21no—
652C4⋊Dic47—21no—
653C4⋊Dic47—21no—
654C4⋊Dic47C2×D411yescharacteristic
655C4⋊Dic47C2411yescharacteristic
656C4⋊Dic47C2411yescharacteristic
657C4⋊Dic47C2411yescharacteristic
658C4⋊Dic47C2411yescharacteristic
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4C2×D411yescharacteristic
674Dic47⋊C4C2×D411yescharacteristic
675Dic47⋊C4C2×D411yescharacteristic
676Dic47⋊C4C2×D411yescharacteristic
677C4×Dic47—21no—
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×Dic47C2×D411yescharacteristic
688C4×Dic47C2×D411yescharacteristic
689C4×Dic47C2411yescharacteristic
690C4×Dic47C2411yescharacteristic
691C4×Dic47C2411yescharacteristic
692#10625329—22no—
693C2×C47⋊C8—22no—
694C2×C47⋊C8C2411yescharacteristic
695C2×C47⋊C8C2411yescharacteristic
696C2×C47⋊C8C2411yescharacteristic
697C2×C47⋊C8C2411yescharacteristic
698#10625325—22no—
699#10625325—41no—
700#10625325—41no—
701#10625324—22no—
702#10625324—41no—
703C23×C47—21no—
704C23×C47—21no—
705C23×C47—21no—
706C23×C47—42no—
707C23×C47—42no—
708C23×C47—81no—
709C23×C47C22×D411yescharacteristic
710C23×C47C22×D411yescharacteristic
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—21no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47—42no—
718C22×D47—42no—
719C22×D47—42no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47—81no—
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726Q8×C47—42no—
727D4×C47—22no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—21no—
733D4×C47—42no—
734D4×C47—42no—
735D4×C47—42no—
736D4×C47—42no—
737D4×C47—81no—
738D4×C47C2×#4112yescomplemented
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—42no—
749C2×C4×C47—42no—
750C2×C4×C47—42no—
751C2×C4×C47—42no—
752C2×C4×C47—81no—
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C22×D411yescharacteristic
757C2×C4×C47C2511yescharacteristic
758C22⋊D47—22no—
759C22⋊D47—22no—
760C22⋊D47—42no—
761C22⋊D47—42no—
762C22⋊D47—42no—
763C22⋊D47—42no—
764C22⋊D47—42no—
765C22⋊D47—42no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C22⋊D47—81no—
769C2×Dic47—22no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—41no—
776C2×Dic47—41no—
777C2×Dic47—42no—
778C2×Dic47—42no—
779C2×Dic47—42no—
780C2×Dic47—42no—
781C2×Dic47—42no—
782C2×Dic47—42no—
783C2×Dic47—42no—
784C2×Dic47—81no—
785C2×Dic47AGL(1,ℤ/8)14yescomplemented
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788C2×Dic47C22×D411yescharacteristic
789C2×Dic47C22×D411yescharacteristic
790C2×Dic47C22×D411yescharacteristic
791C2×Dic47C22×D411yescharacteristic
792C2×Dic47C22×D411yescharacteristic
793D188—21no—
794D188—21no—
795D188—21no—
796D188—21no—
797D188—21no—
798D188—42no—
799D188—42no—
800D188—42no—
801D188—42no—
802D188—42no—
803D188—81no—
804D188C2×#4112yes—
805C4×D47—21no—
806C4×D47—21no—
807C4×D47—22no—
808C4×D47—41no—
809C4×D47—42no—
810C4×D47—42no—
811C4×D47—42no—
812C4×D47—42no—
813C4×D47—42no—
814C4×D47—42no—
815C4×D47—42no—
816C4×D47—42no—
817C4×D47—42no—
818Dic94—22no—
819Dic94—21no—
820Dic94—21no—
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—21no—
836C22×C47—22no—
837C22×C47—21no—
838C22×C47—21no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47—41no—
846C22×C47—41no—
847C22×C47—84no—
848C22×C47C2×AGL(1,ℤ/8)12yes—
849C22×C47C23×D411yescharacteristic
850C2×D47—21no—
851C2×D47—21no—
852C2×D47—22no—
853C2×D47—21no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—84no—
863C2×D47—84no—
864C2×D47—84no—
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×C47C22×#4111yescharacteristic
875C4×C47#58511yescharacteristic
876Dic47—21no—
877Dic47—21no—
878Dic47—21no—
879Dic47—21no—
880Dic47—21no—
881Dic47—41no—
882Dic47—41no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47C2×AGL(1,ℤ/8)12yes—
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#3306D4711yescharacteristic, complemented
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#3105—471no—
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—22no—
920C2×C47—41no—
921C2×C47—42no—
922C2×C47—81no—
923C2×C47—81no—
924C2×C47D4×#4111yescharacteristic
925C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
926C2×C47#358411yescharacteristic
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#547C2×D4711yescharacteristic
951#546—471no—
952#546—941no—
953#546—941no—
954#546—941no—
955#546C2×D4711yescharacteristic, complemented
956D42—471no—
957D42—471no—
958D42—471no—
959#533—471no—
960#532—471no—
961#532—471no—
962#532—471no—
963#529—471no—
964#529—471no—
965#529—941no—
966#529—941no—
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×D4—471no—
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#489C2×D4711yescharacteristic, complemented
989#487—471no—
990#486—471no—
991#484—471no—
992#484—471no—
993#483—471no—
994#483C2×D4711yescharacteristic, complemented
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#478—471no—
1006#478—471no—
1007#477—471no—
1008#477—471no—
1009#476—471no—
1010#476—471no—
1011#476—471no—
1012#476C2×D4711yescharacteristic, complemented
1013#474—471no—
1014#474—471no—
1015#469—471no—
1016#469—471no—
1017#469—471no—
1018#469C2×D4711yescharacteristic, complemented
1019#468—471no—
1020#468—471no—
1021#468—471no—
1022#468—471no—
1023#465—471no—
1024#465—471no—
1025#465—471no—
1026#465C2×D4711yescharacteristic, complemented
1027#463—471no—
1028#463—471no—
1029#463—471no—
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#450—471no—
1043#449—471no—
1044#449—471no—
1045#449—471no—
1046#449C2×D4711yescharacteristic, complemented
1047#447—471no—
1048#447—471no—
1049#447—471no—
1050#447C2×D4711yescharacteristic, complemented
1051#446—471no—
1052#446—471no—
1053#442—471no—
1054#442—471no—
1055#442—471no—
1056#442C2×D4711yescharacteristic, complemented
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×SD16—471no—
1068C4×SD16—471no—
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×D8—471no—
1080C4×D8—471no—
1081#436—471no—
1082#436—471no—
1083#435—471no—
1084#435—471no—
1085#435—471no—
1086#435C2×D4711yescharacteristic, complemented
1087#431—471no—
1088#431—471no—
1089#431—471no—
1090#428—471no—
1091#428—471no—
1092C2×#107—471no—
1093#418—471no—
1094#418—471no—
1095#417—471no—
1096#417C2×D4711yescharacteristic, complemented
1097C2×#102—471no—
1098C2×#102C2×D4711yescharacteristic, complemented
1099C4×M16—471no—
1100C4×M16—471no—
1101C2×C4×C8—471no—
1102C47#6143711yescharacteristic, complemented, Sylow
1103C2×#41—21no—
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—1888no—
1113C2×#41C22×D4711yescharacteristic
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—941no—
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×SD16—471no—
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×M16C22×D4711yescharacteristic
1149C22×C8—471no—
1150C22×C8C22×D4711yescharacteristic
1151C4⋊Q8—471no—
1152C4⋊Q8—471no—
1153C4⋊Q8—471no—
1154C4⋊Q8—471no—
1155C4⋊Q8C22×D4711yescharacteristic
1156#127—471no—
1157#127—471no—
1158#127—471no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#126—941no—
1165#125—471no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125—941no—
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—21no—
1179#123—21no—
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—21no—
1192C22⋊Q8—471no—
1193C22⋊Q8—471no—
1194C22⋊Q8—471no—
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—21no—
1207#121—471no—
1208#121—471no—
1209#121—471no—
1210#121—471no—
1211#121—471no—
1212#121—941no—
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#121C22×D4711yescharacteristic
1225#121C22×D4711yescharacteristic
1226#121C22×D4711yescharacteristic
1227#120—21no—
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—471no—
1241C4×Q8—941no—
1242C4×D4—471no—
1243C4×D4—471no—
1244C4×D4—471no—
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—941no—
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×D4—941no—
1277C4×D4—941no—
1278C4×D4C22×D4711yescharacteristic
1279C4×D4C22×D4711yescharacteristic
1280C4×D4C22×D4711yescharacteristic
1281#117—471no—
1282#117—471no—
1283#117—471no—
1284#117—471no—
1285#117—471no—
1286#117—941no—
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—941no—
1298C2×C4⋊C4—941no—
1299C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1310C2×C42—941no—
1311C2×C42—941no—
1312#107—471no—
1313#107—471no—
1314#107—471no—
1315#107—471no—
1316#107—471no—
1317#107—471no—
1318#107—471no—
1319#107—471no—
1320#106—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106—471no—
1325#106C22×D4711yescharacteristic
1326#106C22×D4711yescharacteristic
1327#106C22×D4711yescharacteristic
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8C22×D4711yescharacteristic
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103C22×D4711yescharacteristic
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#102C22×D4711yescharacteristic
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#97C22×D4711yescharacteristic
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C4×C8—471no—
1380C4×C8—471no—
1381C4×C8—471no—
1382C24—21no—
1383C24—941no—
1384C24—941no—
1385C24—941no—
1386#41—22no—
1387#41—41no—
1388#41—44no—
1389#41—944no—
1390#41—942no—
1391#41—1884no—
1392#41—1884no—
1393#41—1884no—
1394#41—1884no—
1395#41—1881no—
1396#41—1884no—
1397#41—1884no—
1398C2×Q8—21no—
1399C2×Q8—471no—
1400C2×Q8—471no—
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—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—471no—
1417C2×D4—471no—
1418C2×D4—942no—
1419C2×D4—942no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—941no—
1427C2×D4—942no—
1428C2×D4—941no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—941no—
1433C2×D4—941no—
1434C2×D4—941no—
1435C2×D4—941no—
1436C2×D4—1881no—
1437C2×D4—1881no—
1438C2×D4—1881no—
1439C2×D4—1884no—
1440C2×D4—1884no—
1441C2×D4—1884no—
1442C2×D4D4×D4711yescharacteristic
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—471no—
1452C22×C4—471no—
1453C22×C4—471no—
1454C22×C4—471no—
1455C22×C4—471no—
1456C22×C4—471no—
1457C22×C4—471no—
1458C22×C4—941no—
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×C4—1884no—
1479C22×C4C23×D4711yescharacteristic
1480C22×C4C23×D4711yescharacteristic
1481SD16—41no—
1482SD16—942no—
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—41no—
1498M16—942no—
1499M16—942no—
1500M16—1881no—
1501C2×C8—41no—
1502C2×C8—471no—
1503C2×C8—471no—
1504C2×C8—471no—
1505C2×C8—471no—
1506C2×C8—942no—
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—471no—
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—941no—
1525C4⋊C4—941no—
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⋊C4D4×D4711yescharacteristic
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—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—471no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4—941no—
1573C22⋊C4—941no—
1574C22⋊C4—941no—
1575C22⋊C4—941no—
1576C22⋊C4—941no—
1577C22⋊C4—941no—
1578C22⋊C4—941no—
1579C22⋊C4—941no—
1580C22⋊C4—941no—
1581C22⋊C4—941no—
1582C22⋊C4—941no—
1583C22⋊C4—941no—
1584C22⋊C4—941no—
1585C22⋊C4D4×D4711yescharacteristic
1586C22⋊C4D4×D4711yescharacteristic
1587C42—471no—
1588C42—471no—
1589C42—471no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—471no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42—941no—
1600C42—941no—
1601C42—941no—
1602C42C23×D4711yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—81no—
1609C23—471no—
1610C23—941no—
1611C23—941no—
1612C23—941no—
1613C23—3761no—
1614C23—3761no—
1615C23—3761no—
1616C23—1882no—
1617C23—1882no—
1618C23—1882no—
1619C23—1882no—
1620C23—1882no—
1621C23—1882no—
1622C23C2×D4×D4711yescharacteristic
1623C23C2×D4×D4711yescharacteristic
1624Q8—21no—
1625Q8—21no—
1626Q8—42no—
1627Q8—942no—
1628Q8—941no—
1629Q8—941no—
1630Q8—3761no—
1631Q8—1882no—
1632Q8—1882no—
1633D4—22no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—472no—
1645D4—942no—
1646D4—942no—
1647D4—941no—
1648D4—941no—
1649D4—941no—
1650D4—941no—
1651D4—941no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
1655D4—3761no—
1656D4—1882no—
1657D4—1882no—
1658D4—1882no—
1659D4—1882no—
1660D4—1882no—
1661D4—1882no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4—1882no—
1666D4—1882no—
1667D4#41×D4712yescomplemented
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—81no—
1682C2×C4—474no—
1683C2×C4—471no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—471no—
1687C2×C4—471no—
1688C2×C4—471no—
1689C2×C4—471no—
1690C2×C4—942no—
1691C2×C4—942no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—3761no—
1700C2×C4—1881no—
1701C2×C4—1882no—
1702C2×C4—1882no—
1703C2×C4—1882no—
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—1881no—
1716C2×C4—1881no—
1717C2×C4—1882no—
1718C2×C4—1882no—
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—21no—
1735C22—21no—
1736C22—22no—
1737C22—21no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—84no—
1747C22—941no—
1748C22—941no—
1749C22—942no—
1750C22—941no—
1751C22—3764no—
1752C22—3764no—
1753C22—3764no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22AGL(1,ℤ/8)×D4712yes—
1763C22C22×D4×D4711yescharacteristic
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—472no—
1774C4—472no—
1775C4—941no—
1776C4—941no—
1777C4—941no—
1778C4—941no—
1779C4—941no—
1780C4—1881no—
1781C4—1881no—
1782C4—1881no—
1783C4—1881no—
1784C4—1881no—
1785C4C2×#41×D4711yescharacteristic
1786C4#1568995811yescharacteristic
1787C2—22no—
1788C2—41no—
1789C2—42no—
1790C2—81no—
1791C2—81no—
1792C2—3761no—
1793C2—3761no—
1794C2—1881no—
1795C2—1882no—
1796C2#2025687211yescharacteristic
1797C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1798C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3306C2
socleC22×C47C23×D4
hypercenter#3306D47
hypocenterC47#61437
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #20256939C2semidirect
2. #20256875C2semidirect
3. #20256411C2semidirect
4. #20256282C2semidirect
5. #20256103C2semidirect
6. #20256096C2semidirect
7. #20255976C2semidirect
8. #20255826C2semidirect
9. #20255822C2semidirect
10. #20255689C2semidirect
11. #20255625C2semidirect
12. #20255415C2semidirect
13. #20255411C2semidirect
14. #20255345C2semidirect
15. #20254981C2semidirect
16. #20254869C2semidirect
17. #20254861C2semidirect
18. #20253986C2semidirect
19. #20253978C2semidirect
20. #20253942C2semidirect
21. #20253450C2semidirect
22. #20253441C2semidirect
23. #20253434C2semidirect
24. #20253432C2semidirect
25. #20253393C2semidirect
26. #20253383C2semidirect
27. #20252348C2semidirect
28. #20252201C2semidirect
29. #20252199C2semidirect
30. C2×#15689203C2semidirect
31. C47×#3306C2semidirect
36. #15689842C22semidirect
37. #15689837C22semidirect
38. #15689832C22semidirect
40. #15689815C22semidirect
41. #15689813C22semidirect
45. #15689794C22semidirect
46. #15689788C22semidirect
49. #15689774C22semidirect
50. #15689772C22semidirect
51. #15689767C22semidirect
57. #15689757C22semidirect
58. #15689675C22semidirect
59. #15689674C22semidirect
61. #15689668C22semidirect
63. #15689654C22semidirect
64. #15689652C22semidirect
70. #41×Dic47C22semidirect
72. C4×#10625352C22semidirect
73. C2×D4×Dic47C22semidirect
75. C2×#13093986C22semidirect
76. C4×D4×D47C22semidirect
78. #15689530C22semidirect
79. #15689529C22semidirect
80. #15689520C22semidirect
81. #15689513C22semidirect
82. #15689511C22semidirect
83. #15689494C22semidirect
84. #15689488C22semidirect
85. #15689486C22semidirect
86. #15689481C22semidirect
87. #15689472C22semidirect
88. #15689468C22semidirect
89. #15689458C22semidirect
90. #15689457C22semidirect
91. #15689453C22semidirect
92. #15689449C22semidirect
93. #15689449C22semidirect
94. #15689448C22semidirect
95. #15689444C22semidirect
96. #15689440C22semidirect
97. #15689437C22semidirect
98. #15689434C22semidirect
99. #15689424C22semidirect
100. #15689423C22semidirect
101. #15689422C22semidirect
102. #15689422C22semidirect
103. #15689416C22semidirect
104. #15689415C22semidirect
105. #15689412C22semidirect
106. #15689412C22semidirect
107. #15689411C22semidirect
108. #15689401C22semidirect
109. #15689401C22semidirect
110. #15689375C22semidirect
111. #15689375C22semidirect
112. #15689374C22semidirect
113. #15689372C22semidirect
114. #15689372C22semidirect
115. #15689369C22semidirect
116. #15689367C22semidirect
117. #15689354C22semidirect
118. #15689352C22semidirect
119. #15689350C22semidirect
121. #15689337C22semidirect
123. #15689327C22semidirect
124. #15689327C22semidirect
125. #15689324C22semidirect
126. #15689321C22semidirect
127. #15689318C22semidirect
128. #15689316C22semidirect
129. #15689316C22semidirect
130. #15689316C22semidirect
132. #15689276C22semidirect
134. #15689272C22semidirect
135. #15689269C22semidirect
136. #15689269C22semidirect
137. #15689268C22semidirect
138. #15689257C22semidirect
141. #15689252C22semidirect
142. #15689251C22semidirect
145. #15689232C22semidirect
146. #15689226C22semidirect
147. #15689226C22semidirect
148. #15689225C22semidirect
149. #15689223C22semidirect
150. #15689214C22semidirect
151. SD16×Dic47C22semidirect
152. #15689210C22semidirect
153. #15689210C22semidirect
154. #15689210C22semidirect
155. #15689208C22semidirect
156. #15689208C22semidirect
157. #15689208C22semidirect
158. D8×Dic47C22semidirect
159. D8×Dic47C22semidirect
164. #15689203C22semidirect
165. #15689203C22semidirect
166. #15689203C22semidirect
167. #15689203C22semidirect
168. #15689203C22semidirect
169. #15689203C22semidirect
170. #15689199C22semidirect
171. #15689198C22semidirect
172. #15689195C22semidirect
173. #15689194C22semidirect
174. #15689191C22semidirect
175. #15689175C22semidirect
176. #15689173C22semidirect
177. #15689173C22semidirect
178. #15689163C22semidirect
179. #15689162C22semidirect
180. C2×#13093957C22semidirect
181. #15689129C22semidirect
182. #15689126C22semidirect
183. #15689121C22semidirect
185. #15689075C22semidirect
186. M16×Dic47C22semidirect
187. C2×C8×Dic47C22semidirect
189. C47×#546C22semidirect
190. C47×#489C22semidirect
191. C47×#483C22semidirect
192. C47×#481C22semidirect
193. C47×#476C22semidirect
194. C47×#469C22semidirect
195. C47×#465C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#447C22semidirect
199. C47×#442C22semidirect
200. C47×#435C22semidirect
201. C47×#417C22semidirect
202. C2×#102×C47C22semidirect
633. #10625334#41semidirect
738. D4×C47C2×#41semidirect
785. C2×Dic47AGL(1,ℤ/8)semidirect
831. C47⋊C8C2×#41semidirect
902. #3306D47semidirect
955. #546C2×D47semidirect
988. #489C2×D47semidirect
994. #483C2×D47semidirect
1000. #481C2×D47semidirect
1012. #476C2×D47semidirect
1018. #469C2×D47semidirect
1026. #465C2×D47semidirect
1030. #463C2×D47semidirect
1046. #449C2×D47semidirect
1050. #447C2×D47semidirect
1056. #442C2×D47semidirect
1086. #435C2×D47semidirect
1096. #417C2×D47semidirect
1098. C2×#102C2×D47semidirect
1102. C47#61437semidirect
1667. D4#41×D47semidirect

Maximal subgroups

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

subgroupindex
#202569392
#202568752
#202564112
#202562822
#202561032
#202560962
#202559762
#202558262
#202558222
#202556892
#202556252
#202554152
#202554112
#202553452
#202549812
#202548692
#202548612
#202539862
#202539782
#202539422
#202534502
#202534412
#202534342
#202534322
#202533932
#202533832
#202523482
#202522012
#202521992
C2×#156892032
C47×#33062
#6143747