Finite Group Databasebeta

← #27097880

Subgroups — #27097880

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#20256953C211yesmaximal, characteristic, complemented
2#20256875C211yesmaximal, characteristic, complemented
3#20256409C211yesmaximal, characteristic, complemented
4#20256284C211yesmaximal, characteristic, complemented
5#20256109C211yesmaximal, characteristic, complemented
6#20256098C211yesmaximal, characteristic, complemented
7#20255979C211yesmaximal, characteristic, complemented
8#20255824C211yesmaximal, characteristic, complemented
9#20255691C211yesmaximal, characteristic, complemented
10#20255628C211yesmaximal, characteristic, complemented
11#20255407C211yesmaximal, characteristic, complemented
12#20255403C211yesmaximal, characteristic, complemented
13#20255347C211yesmaximal, characteristic, complemented
14#20255343C211yesmaximal, characteristic, complemented
15#20254985C211yesmaximal, characteristic, complemented
16#20254873C211yesmaximal, characteristic, complemented
17#20254865C211yesmaximal, characteristic, complemented
18#20253985C211yesmaximal, characteristic, complemented
19#20253976C211yesmaximal, characteristic, complemented
20#20253942C211yesmaximal, characteristic, complemented
21#20253451C211yesmaximal, characteristic, complemented
22#20253443C211yesmaximal, characteristic, complemented
23#20253440C211yesmaximal, characteristic, complemented
24#20253438C211yesmaximal, characteristic, complemented
25#20253393C211yesmaximal, characteristic, complemented
26#20253385C211yesmaximal, characteristic, complemented
27#20252348C211yesmaximal, characteristic, complemented
28#20252195C211yesmaximal, characteristic, complemented
29#20252193C211yesmaximal, characteristic, complemented
30C2×#15689205C211yesmaximal, characteristic, complemented
31C47×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D47—21no—
33C2×#13094052C2211yescharacteristic
34C2×#13094051C2211yescharacteristic
35C22×D376C2211yescharacteristic
36#15689845C2211yescharacteristic, complemented
37#15689836C2211yescharacteristic, complemented
38#15689829C2211yescharacteristic, complemented
39#15689824—21no—
40#15689808C2211yescharacteristic, complemented
41#15689805—21no—
42#15689797—21no—
43#15689796—21no—
44#15689794C2211yescharacteristic, complemented
45#15689788C2211yescharacteristic, complemented
46#15689783—21no—
47#15689775C2211yescharacteristic, complemented
48#15689774C2211yescharacteristic
49#15689774C2211yescharacteristic, complemented
50#15689769C2211yescharacteristic, complemented
51#15689765—21no—
52#15689765—21no—
53#15689764C2211yescharacteristic, complemented
54#15689761—21no—
55D4×D188C2211yescharacteristic
56#15689757C2211yescharacteristic
57#15689757C2211yescharacteristic, complemented
58#15689675C2211yescharacteristic, complemented
59#15689674C2211yescharacteristic, complemented
60#15689668C2211yescharacteristic
61#15689668C2211yescharacteristic, complemented
62#15689659C2211yescharacteristic, complemented
63#15689658—21no—
64#15689658C2211yescharacteristic, complemented
65#15689656—21no—
66#15689636—21no—
67#15689631—21no—
68#15689631—21no—
69#15689631—21no—
70C4×#10625354C2211yescharacteristic, complemented
71#15689591C2211yescharacteristic, complemented
72C4×#10625352C2211yescharacteristic
73C2×#13093986C2211yescharacteristic
74C2×#13093986C2211yescharacteristic, complemented
75C2×#13093986C2211yescharacteristic, complemented
76C4×D4×D47C2211yescharacteristic, complemented
77#117×D47—21no—
78#15689531C2211yescharacteristic, complemented
79#15689520C2211yescharacteristic, complemented
80#15689512C2211yescharacteristic, complemented
81#15689509C2211yescharacteristic, complemented
82#15689494C2211yescharacteristic, complemented
83#15689489C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689485C2211yescharacteristic, complemented
86#15689484C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689460C2211yescharacteristic, complemented
90#15689453C2211yescharacteristic, complemented
91#15689450C2211yescharacteristic, complemented
92#15689450C2211yescharacteristic, complemented
93#15689447C2211yescharacteristic, complemented
94#15689443C2211yescharacteristic, complemented
95#15689441C2211yescharacteristic, complemented
96#15689436C2211yescharacteristic, complemented
97#15689426C2211yescharacteristic, complemented
98#15689426C2211yescharacteristic, complemented
99#15689420C2211yescharacteristic, complemented
100#15689417C2211yescharacteristic, complemented
101#15689412C2211yescharacteristic, complemented
102#15689412C2211yescharacteristic, complemented
103#15689412C2211yescharacteristic, complemented
104#15689410C2211yescharacteristic, complemented
105#15689402C2211yescharacteristic, complemented
106#15689402C2211yescharacteristic, complemented
107#15689377C2211yescharacteristic, complemented
108#15689377C2211yescharacteristic, complemented
109#15689376C2211yescharacteristic, complemented
110#15689374C2211yescharacteristic, complemented
111#15689371C2211yescharacteristic, complemented
112#15689370C2211yescharacteristic, complemented
113#15689370C2211yescharacteristic, complemented
114#15689354C2211yescharacteristic, complemented
115#15689352C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689341C2211yescharacteristic
118#15689341C2211yescharacteristic, complemented
119#15689339C2211yescharacteristic
120#15689338C2211yescharacteristic, complemented
121#15689327C2211yescharacteristic, complemented
122#15689327C2211yescharacteristic, complemented
123#15689323C2211yescharacteristic, complemented
124#15689322C2211yescharacteristic, complemented
125#15689319C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689317C2211yescharacteristic, complemented
128#15689317C2211yescharacteristic, complemented
129#15689276C2211yescharacteristic
130#15689275C2211yescharacteristic, complemented
131#15689273C2211yescharacteristic
132#15689273C2211yescharacteristic, complemented
133#15689271C2211yescharacteristic, complemented
134#15689271C2211yescharacteristic, complemented
135#15689270C2211yescharacteristic, complemented
136#15689266C2211yescharacteristic, complemented
137#15689259C2211yescharacteristic
138#15689259C2211yescharacteristic, complemented
139#15689258C2211yescharacteristic
140#15689256C2211yescharacteristic, complemented
141#15689252C2211yescharacteristic, complemented
142#15689251C2211yescharacteristic, complemented
143#15689236C2211yescharacteristic
144#15689234C2211yescharacteristic
145#15689234C2211yescharacteristic, complemented
146#15689233C2211yescharacteristic, complemented
147#15689222C2211yescharacteristic, complemented
148#15689222C2211yescharacteristic, complemented
149#15689221C2211yescharacteristic, 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
158#15689205C2211yescharacteristic
159#15689205C2211yescharacteristic
160#15689205C2211yescharacteristic
161#15689205C2211yescharacteristic
162#15689205C2211yescharacteristic, complemented
163#15689205C2211yescharacteristic, complemented
164#15689205C2211yescharacteristic, complemented
165#15689205C2211yescharacteristic, complemented
166#15689205C2211yescharacteristic, complemented
167#15689205C2211yescharacteristic, 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#15689164C2211yescharacteristic, complemented
179#15689127C2211yescharacteristic, complemented
180#15689126C2211yescharacteristic, complemented
181#15689123C2211yescharacteristic, complemented
182#15689122C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic
184C2×#13093944C2211yescharacteristic, complemented
185#15689075C2211yescharacteristic, complemented
186M16×Dic47C2211yescharacteristic, complemented
187C2×C8×Dic47C2211yescharacteristic, complemented
188C47×#552C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic
190C47×#501C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#483C2211yescharacteristic, complemented
193C47×#482C2211yescharacteristic, complemented
194C47×#480C2211yescharacteristic, complemented
195C47×#478C2211yescharacteristic, complemented
196C47×#477C2211yescharacteristic, complemented
197C47×#468C2211yescharacteristic, complemented
198C47×#465C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#428C2211yescharacteristic, complemented
202C2×#107×C47C2211yescharacteristic, complemented
203C2×#10625354—21no—
204C2×#10625354C2311yescharacteristic
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350C2311yescharacteristic
209C2×#10625352—21no—
210C2×#10625352—21no—
211C2×#10625352D411yescharacteristic
212#41×D47—48no—
213C2×Q8×D47—21no—
214C22×D188C2311yescharacteristic
215C22×D188C2311yescharacteristic
216C22×D188C2311yescharacteristic
217C2×D4×D47—21no—
218C2×D4×D47—21no—
219C2×D4×D47—21no—
220C2×D4×D47C2311yescharacteristic
221C22×C4×D47—21no—
222C22×C4×D47—21no—
223C22×C4×D47—21no—
224C22×C4×D47—21no—
225#13094052—24no—
226#13094051—24no—
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335C2311yescharacteristic
231C2×#10625336C2311yescharacteristic
232C2×#10625336C2311yescharacteristic
233C2×#10625336C2311yescharacteristic
234C2×D376—24no—
235C2×D376C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×D376C2311yescharacteristic
238C2×D376C2311yescharacteristic
239C2×D376C2311yescharacteristic
240C2×D376C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625329C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C2×#10625324C2311yescharacteristic
246C22×C47⋊C8C2311yescharacteristic
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094023C2311yescharacteristic
250#13094022C2311yescharacteristic
251#13094021C2311yescharacteristic
252#13094020C2311yescharacteristic
253#13094020C2311yescharacteristic
254#13094019—21no—
255#13094019—21no—
256#13094019—21no—
257#13094019—21no—
258#13094018—21no—
259#13094015C2311yescharacteristic
260#13094014—21no—
261#13094014—21no—
262#13094013—21no—
263#13094013C2311yescharacteristic
264#13094012—21no—
265#13094012C2311yescharacteristic
266#13094010—21no—
267#13094010—21no—
268#13094010—21no—
269#13094009—21no—
270#13094009—21no—
271#13094009—21no—
272#13094009—21no—
273#13094009—21no—
274#13094009—21no—
275#13094008—21no—
276#13094007—21no—
277#13094007—21no—
278#13094007—21no—
279#13094006—21no—
280#13094004—21no—
281#13094004C2311yescharacteristic
282#13094003C2311yescharacteristic
283#13094002—21no—
284#13094002—21no—
285#13094002—21no—
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094001—21no—
291#13094000—21no—
292#13093999—21no—
293#13093999—21no—
294#13093999—21no—
295#13093999C2311yescharacteristic
296#13093999C2311yescharacteristic
297#13093999C2311yescharacteristic
298#13093998—21no—
299#13093998C2311yescharacteristic
300#13093998C2311yescharacteristic
301#13093998C2311yescharacteristic
302#13093997—21no—
303#13093997—21no—
304#13093997—21no—
305#13093997—21no—
306#13093997—21no—
307#13093997—21no—
308#13093997—21no—
309#13093996—21no—
310#13093996—21no—
311#13093994—21no—
312#13093994—21no—
313#13093994—21no—
314#13093994—21no—
315#13093994—21no—
316#13093992—21no—
317#13093992—21no—
318#13093992—21no—
319Q8×Dic47C2311yescharacteristic
320C4×Dic94C2311yescharacteristic
321#13093989—21no—
322#13093989D411yescharacteristic
323#13093989C2311yescharacteristic
324#13093989C2311yescharacteristic
325C4×D188—21no—
326C4×D188C2311yescharacteristic
327C4×D188C2311yescharacteristic
328D4×Dic47D411yescharacteristic
329D4×Dic47C2311yescharacteristic
330#13093986—21no—
331#13093986—21no—
332#13093986—21no—
333#13093986—21no—
334#13093986—21no—
335#13093986—21no—
336#13093986—21no—
337#13093986—21no—
338#13093986—21no—
339#13093986C2311yescharacteristic
340#13093986C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344#13093986C2311yescharacteristic
345#13093986C2311yescharacteristic
346#13093986C2311yescharacteristic
347#13093986C2311yescharacteristic
348#13093986C2311yescharacteristic
349#13093986C2311yescharacteristic
350#13093986C2311yescharacteristic
351C4×C22⋊D47—21no—
352C4×C22⋊D47C2311yescharacteristic
353C4×C22⋊D47C2311yescharacteristic
354(C22⋊D47)⋊C4—21no—
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357(C22⋊D47)⋊C4—21no—
358(C22⋊D47)⋊C4—21no—
359(C22⋊D47)⋊C4—21no—
360(C22⋊D47)⋊C4D411yescharacteristic
361(C22⋊D47)⋊C4D411yescharacteristic
362#13093983—21no—
363#13093982—21no—
364#13093982—21no—
365#13093982—21no—
366#13093982D411yescharacteristic
367#13093982C2311yescharacteristic
368#13093981—21no—
369#13093981—21no—
370#13093981—21no—
371#13093980—21no—
372#13093980D411yescharacteristic
373#13093980D411yescharacteristic
374C4⋊C4×D47—21no—
375C4⋊C4×D47—21no—
376C4⋊C4×D47C2311yescharacteristic
377C2×(C2×D47)⋊C4—21no—
378C2×(C2×D47)⋊C4—21no—
379C2×(C2×D47)⋊C4—21no—
380C22⋊C4×D47—21no—
381C22⋊C4×D47—21no—
382C22⋊C4×D47—21no—
383C2×C4×Dic47C2311yescharacteristic
384C2×C4×Dic47C2311yescharacteristic
385C42×D47—21no—
386C42×D47—21no—
387C42×D47C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093956C2311yescharacteristic
391#13093955C2311yescharacteristic
392#13093955C2311yescharacteristic
393#13093955C2311yescharacteristic
394#13093955C2311yescharacteristic
395C4⋊(C47⋊C8)C2311yescharacteristic
396Dic47⋊C8C2311yescharacteristic
397Dic47⋊C8C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400#13093949C2311yescharacteristic
401#13093948C2311yescharacteristic
402#13093947C2311yescharacteristic
403#13093947C2311yescharacteristic
404#13093947C2311yescharacteristic
405#13093946C2311yescharacteristic
406#13093946C2311yescharacteristic
407#13093946C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093945C2311yescharacteristic
411#13093944C2311yescharacteristic
412#13093944C2311yescharacteristic
413#13093944C2311yescharacteristic
414#13093944C2311yescharacteristic
415#13093944C2311yescharacteristic
416#13093944C2311yescharacteristic
417#13093944C2311yescharacteristic
418#13093944C2311yescharacteristic
419#13093944C2311yescharacteristic
420#13093944C2311yescharacteristic
421#13093944C2311yescharacteristic
422#13093944C2311yescharacteristic
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×SD16×C47C2311yescharacteristic
441C2×M16×C47C2311yescharacteristic
442C22×C8×C47C2311yescharacteristic
443C4⋊Q8×C47C2311yescharacteristic
444#126×C47—21no—
445#125×C47—21no—
446#125×C47C2311yescharacteristic
447#123×C47—21no—
448#123×C47—21no—
449#123×C47—21no—
450C22⋊Q8×C47—21no—
451C22⋊Q8×C47C2311yescharacteristic
452C22⋊Q8×C47C2311yescharacteristic
453#121×C47C2311yescharacteristic
454#121×C47C2311yescharacteristic
455C4×Q8×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458#117×C47—21no—
459#117×C47C2311yescharacteristic
460C2×C4⋊C4×C47C2311yescharacteristic
461C2×C4⋊C4×C47C2311yescharacteristic
462C2×C4⋊C4×C47C2311yescharacteristic
463#107×C47C2311yescharacteristic
464#107×C47C2311yescharacteristic
465#107×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470#106×C47C2311yescharacteristic
471#106×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481#97×C47C2311yescharacteristic
482C23×D47—21no—
483C23×D47—21no—
484C23×D47—21no—
485C23×D47—21no—
486#41×C47—44no—
487C2×Q8×C47—21no—
488C2×Q8×C47C2411yescharacteristic
489C2×D4×C47—21no—
490C2×D4×C47—21no—
491C2×D4×C47C2×D411yescharacteristic
492C2×D4×C47C2411yescharacteristic
493C22×C4×C47—21no—
494C22×C4×C47—21no—
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47C2411yescharacteristic
498C22×C4×C47C2411yescharacteristic
499C2×C22⋊D47—21no—
500C2×C22⋊D47—21no—
501C2×C22⋊D47—21no—
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C2×C22⋊D47C2×D411yescharacteristic
509C2×C22⋊D47C2×D411yescharacteristic
510C22×Dic47—21no—
511C22×Dic47C2×D411yescharacteristic
512C22×Dic47C2×D411yescharacteristic
513C22×Dic47C2×D411yescharacteristic
514C22×Dic47C2×D411yescharacteristic
515#10625354—22no—
516#10625354—41no—
517#10625354—44no—
518Q8×D47—44no—
519#10625352—24no—
520#10625352—44no—
521#10625352—44no—
522D4×D47—22no—
523D4×D47—41no—
524D4×D47—44no—
525D4×D47—44no—
526D4×D47—44no—
527#10625350—22no—
528#10625350—41no—
529#10625350—44no—
530#10625350—44no—
531#10625350—44no—
532C2×D188—22no—
533C2×D188—22no—
534C2×D188—22no—
535C2×D188—21no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—21no—
539C2×D188—21no—
540C2×D188—21no—
541C2×D188—21no—
542C2×D188—21no—
543C2×D188—21no—
544C2×D188—41no—
545C2×D188—41no—
546C2×D188—41no—
547C2×D188C2411yescharacteristic
548C2×D188C2411yescharacteristic
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—21no—
566C2×C4×D47—21no—
567C2×C4×D47—21no—
568C2×C4×D47—21no—
569C2×C4×D47—44no—
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—22no—
582M16×C47—22no—
583C2×C8×C47—22no—
584C2×C8×C47C2411yescharacteristic
585C2×C8×C47C2411yescharacteristic
586C2×C8×C47C2411yescharacteristic
587C2×C8×C47C2411yescharacteristic
588C4⋊C4×C47—21no—
589C4⋊C4×C47—21no—
590C4⋊C4×C47—21no—
591C4⋊C4×C47—21no—
592C4⋊C4×C47—21no—
593C4⋊C4×C47—21no—
594C4⋊C4×C47—21no—
595C4⋊C4×C47—21no—
596C4⋊C4×C47—21no—
597C4⋊C4×C47C2×D411yescharacteristic
598C4⋊C4×C47C2411yescharacteristic
599C4⋊C4×C47C2411yescharacteristic
600C4⋊C4×C47C2411yescharacteristic
601C4⋊C4×C47C2411yescharacteristic
602C4⋊C4×C47C2411yescharacteristic
603C4⋊C4×C47C2411yescharacteristic
604C22⋊C4×C47—21no—
605C22⋊C4×C47—21no—
606C22⋊C4×C47—21no—
607C22⋊C4×C47—21no—
608C22⋊C4×C47—21no—
609C22⋊C4×C47—21no—
610C22⋊C4×C47C2×D411yescharacteristic
611C22⋊C4×C47C2×D411yescharacteristic
612C42×C47—21no—
613C42×C47—21no—
614C42×C47C2411yescharacteristic
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617C22⋊Dic47C2×D411yescharacteristic
618C22⋊Dic47C2×D411yescharacteristic
619#10625336—22no—
620#10625336—41no—
621#10625336—41no—
622#10625335—41no—
623#10625334—22no—
624#10625334—41no—
625(C2×D47)⋊C4—21no—
626(C2×D47)⋊C4—21no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊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)⋊C4—21no—
649(C2×D47)⋊C4—21no—
650(C2×D47)⋊C4—21no—
651(C2×D47)⋊C4C2×D411yescharacteristic
652(C2×D47)⋊C4C2×D411yescharacteristic
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671Dic47⋊C4C2×D411yescharacteristic
672Dic47⋊C4C2×D411yescharacteristic
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47C2×D411yescharacteristic
678C4×Dic47C2×D411yescharacteristic
679C4×Dic47C2×D411yescharacteristic
680C4×Dic47C2×D411yescharacteristic
681C4×Dic47C2×D411yescharacteristic
682C4×Dic47C2×D411yescharacteristic
683C4×Dic47C2411yescharacteristic
684C4×Dic47C2411yescharacteristic
685C4×Dic47C2411yescharacteristic
686#10625329—41no—
687C2×C47⋊C8—41no—
688C2×C47⋊C8C2411yescharacteristic
689C2×C47⋊C8C2411yescharacteristic
690C2×C47⋊C8C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692D376—22no—
693D376—22no—
694D376—22no—
695D376—22no—
696D376—41no—
697D376#4114yescomplemented
698#10625325—22no—
699#10625325—22no—
700#10625325—41no—
701#10625324—22no—
702#10625324—41no—
703C23×C47—21no—
704C23×C47C22×D411yescharacteristic
705C23×C47C22×D411yescharacteristic
706C22×D47—21no—
707C22×D47—21no—
708C22×D47—21no—
709C22×D47—21no—
710C22×D47—21no—
711C22×D47—42no—
712C22×D47—42no—
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×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—42no—
731D4×C47—42no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—42no—
744C2×C4×C47—42no—
745C2×C4×C47—42no—
746C2×C4×C47—42no—
747C2×C4×C47C22×D411yescharacteristic
748C2×C4×C47C22×D411yescharacteristic
749C2×C4×C47C22×D411yescharacteristic
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C2511yescharacteristic
752C22⋊D47—22no—
753C22⋊D47—22no—
754C22⋊D47—42no—
755C22⋊D47—42no—
756C22⋊D47—42no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—42no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C2×Dic47—22no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—41no—
768C2×Dic47—41no—
769C2×Dic47—42no—
770C2×Dic47AGL(1,ℤ/8)14yescomplemented
771C2×Dic47C22×D411yescharacteristic
772C2×Dic47C22×D411yescharacteristic
773C2×Dic47C22×D411yescharacteristic
774C2×Dic47C22×D411yescharacteristic
775C2×Dic47C22×D411yescharacteristic
776C2×Dic47C22×D411yescharacteristic
777C2×Dic47C22×D411yescharacteristic
778D188—21no—
779D188—21no—
780D188—21no—
781D188—21no—
782D188—21no—
783D188—21no—
784D188—21no—
785D188—21no—
786D188—42no—
787D188—42no—
788D188—42no—
789D188—42no—
790D188—42no—
791D188—42no—
792D188—42no—
793D188—81no—
794D188—81no—
795D188C2×#4112yes—
796D188C2×#4112yescomplemented
797C4×D47—21no—
798C4×D47—21no—
799C4×D47—22no—
800C4×D47—41no—
801C4×D47—42no—
802C4×D47—42no—
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—42no—
815C4×D47—42no—
816C4×D47—81no—
817C4×D47—81no—
818Dic94—22no—
819Dic94—21no—
820Dic94—21no—
821Dic94—42no—
822Dic94—42no—
823Dic94—81no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47C2×#4112yescomplemented
828C47⋊C8—21no—
829C47⋊C8—21no—
830C47⋊C8—21no—
831C47⋊C8—21no—
832#61437—471nomaximal, Sylow
833C22×C47—21no—
834C22×C47—21no—
835C22×C47—21no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47C2×AGL(1,ℤ/8)12yes—
842C22×C47C23×D411yescharacteristic
843C2×D47—21no—
844C2×D47—21no—
845C2×D47—22no—
846C2×D47—22no—
847C2×D47—21no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—84no—
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×C47—41no—
875C4×C47—41no—
876C4×C47C22×#4111yescharacteristic
877C4×C47#58511yescharacteristic
878Dic47—21no—
879Dic47—21no—
880Dic47—21no—
881Dic47—21no—
882Dic47—21no—
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#3343D4711yescharacteristic, complemented
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#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—81no—
922C2×C47D4×#4111yescharacteristic
923C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
924C2×C47#358411yescharacteristic
925D47—41no—
926D47—42no—
927D47—42no—
928D47—81no—
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—941no—
941#552C2×D4711yescharacteristic, complemented
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—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—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#501C2×D4711yescharacteristic, complemented
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#483C2×D4711yescharacteristic, complemented
995#482—471no—
996#482—471no—
997#482—471no—
998#482C2×D4711yescharacteristic, complemented
999#481—471no—
1000#481—471no—
1001#480—471no—
1002#480C2×D4711yescharacteristic, complemented
1003#478—471no—
1004#478—471no—
1005#478—471no—
1006#478C2×D4711yescharacteristic, complemented
1007#477—471no—
1008#477C2×D4711yescharacteristic, complemented
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#468C2×D4711yescharacteristic, complemented
1023#465—471no—
1024#465—471no—
1025#465—471no—
1026#465C2×D4711yescharacteristic, complemented
1027#463—471no—
1028#463—471no—
1029#463—471no—
1030#463—471no—
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#449—471no—
1047#447—471no—
1048#447—471no—
1049#447—471no—
1050#447—471no—
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#440C2×D4711yescharacteristic, complemented
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#428C2×D4711yescharacteristic, complemented
1092C2×#107C2×D4711yescharacteristic, complemented
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—21no—
1104C2×#41—471no—
1105C2×#41—471no—
1106C2×#41—471no—
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—471no—
1119C22×D4—941no—
1120C22×D4—941no—
1121C22×D4—941no—
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—471no—
1143C2×D8—471no—
1144C2×D8—944no—
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—21no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#126—941no—
1165#125—21no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125C22×D4711yescharacteristic
1170#124—471no—
1171#124—471no—
1172#124—941no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
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—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⋊Q8C22×D4711yescharacteristic
1205C22⋊Q8C22×D4711yescharacteristic
1206#121—471no—
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#121—941no—
1225#121C22×D4711yescharacteristic
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—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—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×D4—941no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4C22×D4711yescharacteristic
1280C4×D4C22×D4711yescharacteristic
1281#117—21no—
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#117C22×D4711yescharacteristic
1295C2×C4⋊C4—471no—
1296C2×C4⋊C4—941no—
1297C2×C4⋊C4—941no—
1298C2×C4⋊C4C22×D4711yescharacteristic
1299C2×C4⋊C4C22×D4711yescharacteristic
1300C2×C4⋊C4C22×D4711yescharacteristic
1301C2×C22⋊C4—941no—
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#107C22×D4711yescharacteristic
1315#107C22×D4711yescharacteristic
1316#107C22×D4711yescharacteristic
1317#107C22×D4711yescharacteristic
1318#107C22×D4711yescharacteristic
1319#107C22×D4711yescharacteristic
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#102—471no—
1360#102—471no—
1361#102—471no—
1362#102—471no—
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—941no—
1383C24—941no—
1384C24—941no—
1385C24—941no—
1386#41—44no—
1387#41—942no—
1388#41—944no—
1389#41—942no—
1390#41—1881no—
1391#41—1884no—
1392#41—1884no—
1393#41—1884no—
1394#41—1884no—
1395#41—1884no—
1396#41—1881no—
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—21no—
1407C2×D4—21no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—942no—
1416C2×D4—942no—
1417C2×D4—942no—
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—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—941no—
1437C2×D4—1881no—
1438C2×D4—1881no—
1439C2×D4—1881no—
1440C2×D4—1881no—
1441C2×D4—1884no—
1442C2×D4—1884no—
1443C2×D4—1884no—
1444C2×D4D4×D4711yescharacteristic
1445C2×D4C23×D4711yescharacteristic
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—471no—
1451C22×C4—471no—
1452C22×C4—471no—
1453C22×C4—471no—
1454C22×C4—471no—
1455C22×C4—471no—
1456C22×C4—471no—
1457C22×C4—941no—
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—22no—
1482SD16—942no—
1483SD16—942no—
1484SD16—942no—
1485SD16—1881no—
1486SD16—1881no—
1487SD16—1881no—
1488SD16—1881no—
1489D8—474no—
1490D8—942no—
1491D8—942no—
1492D8—942no—
1493D8—942no—
1494D8—942no—
1495D8—1881no—
1496D8—1881no—
1497M16—22no—
1498M16—942no—
1499M16—1881no—
1500M16—1881no—
1501C2×C8—22no—
1502C2×C8—471no—
1503C2×C8—471no—
1504C2×C8—471no—
1505C2×C8—471no—
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—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—471no—
1521C4⋊C4—471no—
1522C4⋊C4—471no—
1523C4⋊C4—471no—
1524C4⋊C4—471no—
1525C4⋊C4—471no—
1526C4⋊C4—471no—
1527C4⋊C4—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⋊C4D4×D4711yescharacteristic
1541C4⋊C4C23×D4711yescharacteristic
1542C4⋊C4C23×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—471no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊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—21no—
1588C42—21no—
1589C42—471no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—471no—
1596C42—471no—
1597C42—471no—
1598C42—941no—
1599C42—941no—
1600C42—941no—
1601C42—941no—
1602C42C23×D4711yescharacteristic
1603C23—21no—
1604C23—471no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—941no—
1609C23—941no—
1610C23—3761no—
1611C23—3761no—
1612C23—3761no—
1613C23—3761no—
1614C23—1882no—
1615C23—1882no—
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—42no—
1637D4—42no—
1638D4—472no—
1639D4—472no—
1640D4—942no—
1641D4—942no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—941no—
1648D4—941no—
1649D4—941no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—3761no—
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—1882no—
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—21no—
1678C2×C4—21no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—474no—
1684C2×C4—471no—
1685C2×C4—471no—
1686C2×C4—471no—
1687C2×C4—471no—
1688C2×C4—471no—
1689C2×C4—471no—
1690C2×C4—471no—
1691C2×C4—942no—
1692C2×C4—942no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—3761no—
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—1882no—
1716C2×C4—1882no—
1717C2×C4—1881no—
1718C2×C4—1881no—
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—941no—
1728C8—941no—
1729C8—941no—
1730C8—941no—
1731C8#41×D4712yescomplemented
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—21no—
1736C22—21no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—941no—
1741C22—941no—
1742C22—942no—
1743C22—942no—
1744C22—941no—
1745C22—3764no—
1746C22—3764no—
1747C22—3764no—
1748C22—3764no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—1881no—
1753C22—1881no—
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—41no—
1774C4—41no—
1775C4—472no—
1776C4—472no—
1777C4—941no—
1778C4—941no—
1779C4—941no—
1780C4—941no—
1781C4—941no—
1782C4—1881no—
1783C4—1881no—
1784C4—1881no—
1785C4C2×#41×D4711yescharacteristic
1786C4#1568996011yescharacteristic
1787C2—22no—
1788C2—41no—
1789C2—81no—
1790C2—3761no—
1791C2—3761no—
1792C2—3761no—
1793C2—1881no—
1794C2—1882no—
1795C2—1882no—
1796C2#2025687511yescharacteristic
1797C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1798C2#2025815811yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3343C2
socleC22×C47C23×D4
hypercenter#3343D47
hypocenterC47#61437
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #20256953C2semidirect
2. #20256875C2semidirect
3. #20256409C2semidirect
4. #20256284C2semidirect
5. #20256109C2semidirect
6. #20256098C2semidirect
7. #20255979C2semidirect
8. #20255824C2semidirect
9. #20255691C2semidirect
10. #20255628C2semidirect
11. #20255407C2semidirect
12. #20255403C2semidirect
13. #20255347C2semidirect
14. #20255343C2semidirect
15. #20254985C2semidirect
16. #20254873C2semidirect
17. #20254865C2semidirect
18. #20253985C2semidirect
19. #20253976C2semidirect
20. #20253942C2semidirect
21. #20253451C2semidirect
22. #20253443C2semidirect
23. #20253440C2semidirect
24. #20253438C2semidirect
25. #20253393C2semidirect
26. #20253385C2semidirect
27. #20252348C2semidirect
28. #20252195C2semidirect
29. #20252193C2semidirect
30. C2×#15689205C2semidirect
31. C47×#3343C2semidirect
36. #15689845C22semidirect
37. #15689836C22semidirect
38. #15689829C22semidirect
40. #15689808C22semidirect
44. #15689794C22semidirect
45. #15689788C22semidirect
47. #15689775C22semidirect
49. #15689774C22semidirect
50. #15689769C22semidirect
53. #15689764C22semidirect
57. #15689757C22semidirect
58. #15689675C22semidirect
59. #15689674C22semidirect
61. #15689668C22semidirect
62. #15689659C22semidirect
64. #15689658C22semidirect
70. C4×#10625354C22semidirect
71. #15689591C22semidirect
74. C2×#13093986C22semidirect
75. C2×#13093986C22semidirect
76. C4×D4×D47C22semidirect
78. #15689531C22semidirect
79. #15689520C22semidirect
80. #15689512C22semidirect
81. #15689509C22semidirect
82. #15689494C22semidirect
83. #15689489C22semidirect
84. #15689486C22semidirect
85. #15689485C22semidirect
86. #15689484C22semidirect
87. #15689472C22semidirect
88. #15689468C22semidirect
89. #15689460C22semidirect
90. #15689453C22semidirect
91. #15689450C22semidirect
92. #15689450C22semidirect
93. #15689447C22semidirect
94. #15689443C22semidirect
95. #15689441C22semidirect
96. #15689436C22semidirect
97. #15689426C22semidirect
98. #15689426C22semidirect
99. #15689420C22semidirect
100. #15689417C22semidirect
101. #15689412C22semidirect
102. #15689412C22semidirect
103. #15689412C22semidirect
104. #15689410C22semidirect
105. #15689402C22semidirect
106. #15689402C22semidirect
107. #15689377C22semidirect
108. #15689377C22semidirect
109. #15689376C22semidirect
110. #15689374C22semidirect
111. #15689371C22semidirect
112. #15689370C22semidirect
113. #15689370C22semidirect
114. #15689354C22semidirect
115. #15689352C22semidirect
116. #15689350C22semidirect
118. #15689341C22semidirect
120. #15689338C22semidirect
121. #15689327C22semidirect
122. #15689327C22semidirect
123. #15689323C22semidirect
124. #15689322C22semidirect
125. #15689319C22semidirect
126. #15689317C22semidirect
127. #15689317C22semidirect
128. #15689317C22semidirect
130. #15689275C22semidirect
132. #15689273C22semidirect
133. #15689271C22semidirect
134. #15689271C22semidirect
135. #15689270C22semidirect
136. #15689266C22semidirect
138. #15689259C22semidirect
140. #15689256C22semidirect
141. #15689252C22semidirect
142. #15689251C22semidirect
145. #15689234C22semidirect
146. #15689233C22semidirect
147. #15689222C22semidirect
148. #15689222C22semidirect
149. #15689221C22semidirect
150. #15689214C22semidirect
151. SD16×Dic47C22semidirect
152. #15689210C22semidirect
153. #15689210C22semidirect
154. #15689210C22semidirect
155. #15689208C22semidirect
156. #15689208C22semidirect
157. #15689208C22semidirect
162. #15689205C22semidirect
163. #15689205C22semidirect
164. #15689205C22semidirect
165. #15689205C22semidirect
166. #15689205C22semidirect
167. #15689205C22semidirect
168. #15689203C22semidirect
169. #15689203C22semidirect
170. #15689199C22semidirect
171. #15689198C22semidirect
172. #15689195C22semidirect
173. #15689194C22semidirect
174. #15689191C22semidirect
175. #15689175C22semidirect
176. #15689173C22semidirect
177. #15689173C22semidirect
178. #15689164C22semidirect
179. #15689127C22semidirect
180. #15689126C22semidirect
181. #15689123C22semidirect
182. #15689122C22semidirect
184. C2×#13093944C22semidirect
185. #15689075C22semidirect
186. M16×Dic47C22semidirect
187. C2×C8×Dic47C22semidirect
188. C47×#552C22semidirect
190. C47×#501C22semidirect
191. C47×#484C22semidirect
192. C47×#483C22semidirect
193. C47×#482C22semidirect
194. C47×#480C22semidirect
195. C47×#478C22semidirect
196. C47×#477C22semidirect
197. C47×#468C22semidirect
198. C47×#465C22semidirect
199. C47×#440C22semidirect
200. C47×#435C22semidirect
201. C47×#428C22semidirect
202. C2×#107×C47C22semidirect
697. D376#41semidirect
770. C2×Dic47AGL(1,ℤ/8)semidirect
796. D188C2×#41semidirect
827. C8×C47C2×#41semidirect
896. #3343D47semidirect
941. #552C2×D47semidirect
980. #501C2×D47semidirect
992. #484C2×D47semidirect
994. #483C2×D47semidirect
998. #482C2×D47semidirect
1002. #480C2×D47semidirect
1006. #478C2×D47semidirect
1008. #477C2×D47semidirect
1022. #468C2×D47semidirect
1026. #465C2×D47semidirect
1060. #440C2×D47semidirect
1086. #435C2×D47semidirect
1091. #428C2×D47semidirect
1092. C2×#107C2×D47semidirect
1102. C47#61437semidirect
1731. C8#41×D47semidirect

Maximal subgroups

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

subgroupindex
#202569532
#202568752
#202564092
#202562842
#202561092
#202560982
#202559792
#202558242
#202556912
#202556282
#202554072
#202554032
#202553472
#202553432
#202549852
#202548732
#202548652
#202539852
#202539762
#202539422
#202534512
#202534432
#202534402
#202534382
#202533932
#202533852
#202523482
#202521952
#202521932
C2×#156892052
C47×#33432
#6143747