Finite Group Databasebeta

← #27084731

Subgroups — #27084731

Order 12032.

2180 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#529×D47C211yesmaximal, characteristic, complemented
2C4×#41×D47C211yesmaximal, characteristic, complemented
3#20253563C211yesmaximal, characteristic, complemented
4#20253557C211yesmaximal, characteristic, complemented
5#20253530C211yesmaximal, characteristic, complemented
6#20253524C211yesmaximal, characteristic, complemented
7#20253499C211yesmaximal, characteristic, complemented
8#20253497C211yesmaximal, characteristic, complemented
9#20253491C211yesmaximal, characteristic, complemented
10#20253473C211yesmaximal, characteristic, complemented
11#20253467C211yesmaximal, characteristic, complemented
12#20253440C211yesmaximal, characteristic, complemented
13#20253434C211yesmaximal, characteristic, complemented
14#20253409C211yesmaximal, characteristic, complemented
15#20253407C211yesmaximal, characteristic, complemented
16#20253401C211yesmaximal, characteristic, complemented
17#20253399C211yesmaximal, characteristic, complemented
18#20253335C211yesmaximal, characteristic, complemented
19#20253327C211yesmaximal, characteristic, complemented
20#20253207C211yesmaximal, characteristic, complemented
21#20253205C211yesmaximal, characteristic, complemented
22#20252879C211yesmaximal, characteristic, complemented
23#20252877C211yesmaximal, characteristic, complemented
24#20252645C211yesmaximal, characteristic, complemented
25#20252637C211yesmaximal, characteristic
26#20252210C211yesmaximal, characteristic, complemented
27#20252204C211yesmaximal, characteristic, complemented
28#20252199C211yesmaximal, characteristic, complemented
29#20252193C211yesmaximal, characteristic, complemented
30#20252018C211yesmaximal, characteristic, complemented
31C47×#3111C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic
33C2×#13094056C2211yescharacteristic
34C2×#13094053C2211yescharacteristic
35C2×#13094051C2211yescharacteristic
36C2×#13094048C2211yescharacteristic
37#15689660C2211yescharacteristic
38#15689659C2211yescharacteristic, complemented
39#15689658C2211yescharacteristic
40#15689657C2211yescharacteristic, complemented
41#15689656—21no—
42#15689655C2211yescharacteristic
43#15689654C2211yescharacteristic, complemented
44#15689653—21no—
45#15689652C2211yescharacteristic
46#15689651—21no—
47#15689650—21no—
48#126×D47—21no—
49#125×D47C2211yescharacteristic, complemented
50#124×D47C2211yescharacteristic, complemented
51#123×D47—21no—
52C22⋊Q8×D47C2211yescharacteristic
53#121×D47C2211yescharacteristic
54#41×Dic47C2211yescharacteristic, complemented
55C4×#10625354C2211yescharacteristic
56C4×#10625354C2211yescharacteristic
57C4×#10625350—21no—
58C4×#10625350C2211yescharacteristic, complemented
59#15689591—21no—
60#15689591C2211yescharacteristic, complemented
61C4×#10625352—21no—
62C4×#10625352—21no—
63C4×#10625352C2211yescharacteristic
64C4×#10625352C2211yescharacteristic
65C4×Q8×D47C2211yescharacteristic, complemented
66C4×Q8×D47C2211yescharacteristic, complemented
67C4×Q8×D47C2211yescharacteristic, complemented
68C4×D4×D47—21no—
69C4×D4×D47—21no—
70C4×D4×D47—21no—
71C4×D4×D47C2211yescharacteristic, complemented
72C4×D4×D47C2211yescharacteristic, complemented
73C4×D4×D47C2211yescharacteristic, complemented
74#117×D47—21no—
75#117×D47—21no—
76#117×D47C2211yescharacteristic
77C2×C42×D47—21no—
78C2×C42×D47C2211yescharacteristic
79#15689465C2211yescharacteristic, complemented
80#15689464C2211yescharacteristic, complemented
81#15689461C2211yescharacteristic, complemented
82#15689460C2211yescharacteristic, complemented
83#15689457C2211yescharacteristic, complemented
84#15689455C2211yescharacteristic, complemented
85#15689452C2211yescharacteristic, complemented
86#15689448C2211yescharacteristic, complemented
87#15689447C2211yescharacteristic, complemented
88#15689444C2211yescharacteristic, complemented
89#15689443C2211yescharacteristic
90#15689440C2211yescharacteristic
91#15689438C2211yescharacteristic
92#15689435C2211yescharacteristic
93#15689433C2211yescharacteristic, complemented
94#15689432C2211yescharacteristic, complemented
95#15689431C2211yescharacteristic, complemented
96#15689430C2211yescharacteristic, complemented
97#15689429C2211yescharacteristic, complemented
98#15689428C2211yescharacteristic, complemented
99#15689427C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689425C2211yescharacteristic, complemented
102#15689424C2211yescharacteristic, complemented
103#15689423C2211yescharacteristic, complemented
104#15689422C2211yescharacteristic, complemented
105#15689421C2211yescharacteristic, complemented
106#15689420C2211yescharacteristic, complemented
107#15689348C2211yescharacteristic, complemented
108#15689347C2211yescharacteristic, complemented
109#15689346C2211yescharacteristic, complemented
110#15689345C2211yescharacteristic, complemented
111#15689344C2211yescharacteristic, complemented
112#15689343C2211yescharacteristic, complemented
113#15689342C2211yescharacteristic, complemented
114#15689341C2211yescharacteristic, complemented
115#15689340C2211yescharacteristic, complemented
116#15689339C2211yescharacteristic, complemented
117#15689338C2211yescharacteristic, complemented
118#15689337C2211yescharacteristic, complemented
119#15689336C2211yescharacteristic, complemented
120#15689335C2211yescharacteristic, complemented
121#15689287C2211yescharacteristic, complemented
122#15689285C2211yescharacteristic, complemented
123#15689283C2211yescharacteristic, complemented
124#15689280C2211yescharacteristic, complemented
125#15689277C2211yescharacteristic, complemented
126#15689275C2211yescharacteristic, complemented
127#15689272C2211yescharacteristic, complemented
128#15689270C2211yescharacteristic
129#15689268C2211yescharacteristic
130#15689266C2211yescharacteristic
131#15689263C2211yescharacteristic
132#15689260C2211yescharacteristic
133#15689258C2211yescharacteristic
134#15689255C2211yescharacteristic
135#15689236C2211yescharacteristic, complemented
136#15689233C2211yescharacteristic, complemented
137#15689233C2211yescharacteristic, complemented
138#15689231C2211yescharacteristic, complemented
139#15689228C2211yescharacteristic, complemented
140#15689228C2211yescharacteristic, complemented
141#15689225C2211yescharacteristic, complemented
142#15689225C2211yescharacteristic, complemented
143#15689223C2211yescharacteristic, complemented
144#15689223C2211yescharacteristic, complemented
145#15689221C2211yescharacteristic, complemented
146#15689221C2211yescharacteristic, complemented
147Q16×Dic47C2211yescharacteristic, complemented
148#15689217C2211yescharacteristic, complemented
149#15689215C2211yescharacteristic, complemented
150#15689215C2211yescharacteristic, complemented
151#15689214C2211yescharacteristic, complemented
152#15689214C2211yescharacteristic, complemented
153SD16×Dic47C2211yescharacteristic, complemented
154SD16×Dic47C2211yescharacteristic, complemented
155#15689210C2211yescharacteristic, complemented
156#15689210C2211yescharacteristic, complemented
157#15689208C2211yescharacteristic, complemented
158#15689208C2211yescharacteristic, complemented
159D8×Dic47C2211yescharacteristic, complemented
160#15689205C2211yescharacteristic, complemented
161#15689203C2211yescharacteristic, complemented
162#15689203C2211yescharacteristic, complemented
163#15689180C2211yescharacteristic, complemented
164#15689178C2211yescharacteristic, complemented
165#15689178C2211yescharacteristic, complemented
166#15689175C2211yescharacteristic, complemented
167#15689175C2211yescharacteristic, complemented
168#15689173C2211yescharacteristic, complemented
169#15689173C2211yescharacteristic, complemented
170#15689164C2211yescharacteristic, complemented
171#15689164C2211yescharacteristic, complemented
172#15689162C2211yescharacteristic, complemented
173#15689162C2211yescharacteristic, complemented
174#15689145C2211yescharacteristic, complemented
175#15689145C2211yescharacteristic, complemented
176#15689130C2211yescharacteristic, complemented
177#15689130C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689123C2211yescharacteristic
181#15689123C2211yescharacteristic
182#15689121C2211yescharacteristic
183#15689121C2211yescharacteristic
184#15689085C2211yescharacteristic
185#15689085C2211yescharacteristic
186#15689075C2211yescharacteristic, complemented
187#15689075C2211yescharacteristic, complemented
188C47×#529C2211yescharacteristic, complemented
189C4×#41×C47C2211yescharacteristic, complemented
190C47×#485C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#479C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#452C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic
198C47×#442C2211yescharacteristic, complemented
199C47×#441C2211yescharacteristic, complemented
200C47×#440C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#432C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C2×#10625352C2311yescharacteristic
208#41×D47—24no—
209#41×D47—24no—
210C2×Q8×D47C2311yescharacteristic
211C2×Q8×D47C2311yescharacteristic
212C2×D4×D47—21no—
213C2×D4×D47—21no—
214C2×D4×D47C2311yescharacteristic
215C2×D4×D47C2311yescharacteristic
216C22×C4×D47—21no—
217C22×C4×D47—21no—
218C22×C4×D47—21no—
219C22×C4×D47—21no—
220C22×C4×D47D411yescharacteristic
221C22×C4×D47D411yescharacteristic
222C22×C4×D47C2311yescharacteristic
223#13094056—24no—
224#13094053—24no—
225#13094051—24no—
226#13094048—24no—
227C2×Dic188C2311yescharacteristic
228C2×#10625337C2311yescharacteristic
229C2×#10625337C2311yescharacteristic
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625336C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×D376C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625324C2311yescharacteristic
240C2×#10625324C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243#13094019—21no—
244#13094019—21no—
245#13094019—21no—
246#13094018—21no—
247#13094017—21no—
248#13094017—21no—
249#13094017—21no—
250#13094016C2311yescharacteristic
251#13094015C2311yescharacteristic
252#13094015C2311yescharacteristic
253#13094014—21no—
254#13094014—21no—
255#13094013C2311yescharacteristic
256#13094012C2311yescharacteristic
257#13094011C2311yescharacteristic
258#13094010—21no—
259#13094010—21no—
260#13094009—21no—
261#13094009—21no—
262#13094008—21no—
263#13094007—21no—
264#13094006—21no—
265#13094006—21no—
266#13094005—21no—
267#13094004C2311yescharacteristic
268#13094003C2311yescharacteristic
269#13094002—21no—
270#13094001—21no—
271#13094000C2311yescharacteristic
272#13093999C2311yescharacteristic
273#13093998C2311yescharacteristic
274#13093997—21no—
275#13093996—21no—
276#13093995C2311yescharacteristic
277Q8×Dic47C2311yescharacteristic
278Q8×Dic47C2311yescharacteristic
279Q8×Dic47C2311yescharacteristic
280C4×Dic94—21no—
281C4×Dic94—21no—
282C4×Dic94—21no—
283C4×Dic94C2311yescharacteristic
284C4×Dic94C2311yescharacteristic
285C4×Dic94C2311yescharacteristic
286#13093989—21no—
287#13093989—21no—
288#13093989—21no—
289#13093989C2311yescharacteristic
290#13093989C2311yescharacteristic
291#13093989C2311yescharacteristic
292C4×D188—21no—
293C4×D188—21no—
294C4×D188—21no—
295C4×D188C2311yescharacteristic
296C4×D188C2311yescharacteristic
297C4×D188C2311yescharacteristic
298D4×Dic47—21no—
299D4×Dic47—21no—
300D4×Dic47—21no—
301D4×Dic47C2311yescharacteristic
302D4×Dic47C2311yescharacteristic
303D4×Dic47C2311yescharacteristic
304#13093986—21no—
305#13093986—21no—
306#13093986—21no—
307#13093986C2311yescharacteristic
308#13093986C2311yescharacteristic
309#13093986C2311yescharacteristic
310C4×C22⋊D47—21no—
311C4×C22⋊D47—21no—
312C4×C22⋊D47—21no—
313C4×C22⋊D47—21no—
314C4×C22⋊D47—21no—
315C4×C22⋊D47—21no—
316C4×C22⋊D47—21no—
317C4×C22⋊D47—21no—
318C4×C22⋊D47—21no—
319(C22⋊D47)⋊C4—21no—
320(C22⋊D47)⋊C4—21no—
321(C22⋊D47)⋊C4—21no—
322(C22⋊D47)⋊C4—21no—
323(C22⋊D47)⋊C4—21no—
324(C22⋊D47)⋊C4—21no—
325(C22⋊D47)⋊C4—21no—
326(C22⋊D47)⋊C4—21no—
327(C22⋊D47)⋊C4—21no—
328#13093983—21no—
329#13093983—21no—
330#13093983C2311yescharacteristic
331#13093982—21no—
332#13093982—21no—
333#13093982—21no—
334#13093982—21no—
335#13093982C2311yescharacteristic
336#13093982C2311yescharacteristic
337#13093981—21no—
338#13093981—21no—
339#13093981—21no—
340#13093981—21no—
341#13093981—21no—
342#13093980—21no—
343#13093980—21no—
344#13093980—21no—
345#13093980—21no—
346#13093980—21no—
347C4⋊C4×D47—21no—
348C4⋊C4×D47—21no—
349C4⋊C4×D47—21no—
350C4⋊C4×D47—21no—
351C4⋊C4×D47—21no—
352C4⋊C4×D47—21no—
353C4⋊C4×D47C2311yescharacteristic
354C4⋊C4×D47C2311yescharacteristic
355C4⋊C4×D47C2311yescharacteristic
356C4⋊C4×D47C2311yescharacteristic
357C22⋊C4×D47—21no—
358C22⋊C4×D47—21no—
359C22⋊C4×D47—21no—
360C22⋊C4×D47—21no—
361C22⋊C4×D47—21no—
362C22⋊C4×D47—21no—
363C22⋊C4×D47—21no—
364C22⋊C4×D47—21no—
365C2×C4×Dic47—21no—
366C2×C4×Dic47—21no—
367C2×C4×Dic47—21no—
368C2×C4×Dic47D411yescharacteristic
369C2×C4×Dic47D411yescharacteristic
370C2×C4×Dic47C2311yescharacteristic
371C42×D47—21no—
372C42×D47—21no—
373C42×D47—21no—
374C42×D47—21no—
375C42×D47—21no—
376C42×D47—21no—
377C42×D47—21no—
378C42×D47—21no—
379C42×D47D411yescharacteristic
380C42×D47D411yescharacteristic
381C42×D47D411yescharacteristic
382C42×D47D411yescharacteristic
383C42×D47C2311yescharacteristic
384C42×D47C2311yescharacteristic
385C42×D47C2311yescharacteristic
386C42×D47C2311yescharacteristic
387#13093958C2311yescharacteristic
388#13093958C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093957C2311yescharacteristic
391#13093957C2311yescharacteristic
392#13093957C2311yescharacteristic
393#13093956C2311yescharacteristic
394#13093956C2311yescharacteristic
395#13093955C2311yescharacteristic
396#13093955C2311yescharacteristic
397#13093955C2311yescharacteristic
398#13093955C2311yescharacteristic
399C4⋊(C47⋊C8)C2311yescharacteristic
400C4⋊(C47⋊C8)C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405#13093949C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093948C2311yescharacteristic
410#13093948C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093947C2311yescharacteristic
414#13093947C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429C22⋊(C47⋊C8)C2311yescharacteristic
430C22⋊(C47⋊C8)C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432(C2×D47)⋊C8C2311yescharacteristic
433(C2×D47)⋊C8C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435#13093935C2311yescharacteristic
436#13093935C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C8×Dic47C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C2×Q16×C47C2311yescharacteristic
443C2×SD16×C47C2311yescharacteristic
444C2×SD16×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446#126×C47—21no—
447#125×C47C2311yescharacteristic
448#124×C47C2311yescharacteristic
449#123×C47—21no—
450C22⋊Q8×C47C2311yescharacteristic
451#121×C47C2311yescharacteristic
452C4×Q8×C47C2311yescharacteristic
453C4×Q8×C47C2311yescharacteristic
454C4×Q8×C47C2311yescharacteristic
455C4×D4×C47—21no—
456C4×D4×C47—21no—
457C4×D4×C47—21no—
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460C4×D4×C47C2311yescharacteristic
461#117×C47—21no—
462#117×C47—21no—
463#117×C47C2311yescharacteristic
464C2×C42×C47—21no—
465C2×C42×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#103×C47C2311yescharacteristic
475#103×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482#97×C47C2311yescharacteristic
483#97×C47C2311yescharacteristic
484C23×D47—21no—
485C23×D47—21no—
486C23×D47C2×D411yescharacteristic
487#41×C47—22no—
488#41×C47—22no—
489C2×Q8×C47C2411yescharacteristic
490C2×Q8×C47C2411yescharacteristic
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47C2411yescharacteristic
494C2×D4×C47C2411yescharacteristic
495C22×C4×C47—21no—
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47C2×D411yescharacteristic
500C22×C4×C47C2×D411yescharacteristic
501C22×C4×C47C2411yescharacteristic
502C2×C22⋊D47—21no—
503C2×C22⋊D47—21no—
504C2×C22⋊D47—21no—
505C2×C22⋊D47—21no—
506C2×C22⋊D47—21no—
507C2×C22⋊D47—21no—
508C22×Dic47—21no—
509C22×Dic47—21no—
510C22×Dic47—21no—
511C22×Dic47—21no—
512C22×Dic47C2×D411yescharacteristic
513C22×Dic47C2×D411yescharacteristic
514C22×Dic47C2×D411yescharacteristic
515#10625354—22no—
516#10625354#4114yes—
517Q8×D47—22no—
518Q8×D47—22no—
519Q8×D47—22no—
520Q8×D47—22no—
521#10625352—28no—
522#10625352—22no—
523#10625352#4114yes—
524D4×D47—28no—
525D4×D47—22no—
526D4×D47—22no—
527D4×D47—22no—
528D4×D47—22no—
529D4×D47—44no—
530#10625350—28no—
531#10625350—22no—
532#10625350—22no—
533C2×D188—21no—
534C2×D188—21no—
535C2×D188C2411yescharacteristic
536C2×D188C2411yescharacteristic
537C2×C4×D47—28no—
538C2×C4×D47—21no—
539C2×C4×D47—21no—
540C2×C4×D47—21no—
541C2×C4×D47—22no—
542C2×C4×D47—22no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47—21no—
547C2×C4×D47—21no—
548C2×C4×D47—21no—
549C2×C4×D47—21no—
550C2×C4×D47—21no—
551C2×C4×D47—21no—
552C2×C4×D47—21no—
553C2×C4×D47—21no—
554C2×C4×D47—42no—
555C2×C4×D47—42no—
556C2×C4×D47—44no—
557C2×C4×D47—44no—
558C2×C4×D47—44no—
559C2×C4×D47C2×D411yescharacteristic
560C2×C4×D47C2×D411yescharacteristic
561C2×C4×D47C2×D411yescharacteristic
562C2×C4×D47C2×D411yescharacteristic
563C2×C4×D47C2×D411yescharacteristic
564C2×C4×D47C2×D411yescharacteristic
565C2×C4×D47C2×D411yescharacteristic
566C2×C4×D47C2×D411yescharacteristic
567C2×C4×D47C2×D411yescharacteristic
568C2×C4×D47C2×D411yescharacteristic
569C2×C4×D47C2411yescharacteristic
570C2×C4×D47C2411yescharacteristic
571C2×Dic94—21no—
572C2×Dic94—21no—
573C2×Dic94C2411yescharacteristic
574C2×Dic94C2411yescharacteristic
575Q16×C47—22no—
576SD16×C47—22no—
577SD16×C47—22no—
578D8×C47—22no—
579C2×C8×C47C2411yescharacteristic
580C2×C8×C47C2411yescharacteristic
581C2×C8×C47C2411yescharacteristic
582C2×C8×C47C2411yescharacteristic
583C4⋊C4×C47—21no—
584C4⋊C4×C47—21no—
585C4⋊C4×C47—21no—
586C4⋊C4×C47—21no—
587C4⋊C4×C47—21no—
588C4⋊C4×C47—21no—
589C4⋊C4×C47C2411yescharacteristic
590C4⋊C4×C47C2411yescharacteristic
591C4⋊C4×C47C2411yescharacteristic
592C4⋊C4×C47C2411yescharacteristic
593C22⋊C4×C47—21no—
594C22⋊C4×C47—21no—
595C22⋊C4×C47—21no—
596C22⋊C4×C47—21no—
597C22⋊C4×C47—21no—
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C42×C47—21no—
602C42×C47—21no—
603C42×C47—21no—
604C42×C47—21no—
605C42×C47C2×D411yescharacteristic
606C42×C47C2×D411yescharacteristic
607C42×C47C2411yescharacteristic
608C42×C47C2411yescharacteristic
609C22⋊Dic47—21no—
610C22⋊Dic47—21no—
611C22⋊Dic47—21no—
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617#10625337—22no—
618#10625337—22no—
619#10625336—22no—
620#10625336—22no—
621#10625335—22no—
622#10625335—22no—
623#10625334—22no—
624#10625334—22no—
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—
641C4⋊Dic47—21no—
642C4⋊Dic47—21no—
643C4⋊Dic47—21no—
644C4⋊Dic47—21no—
645C4⋊Dic47—21no—
646C4⋊Dic47—21no—
647C4⋊Dic47C2411yescharacteristic
648C4⋊Dic47C2411yescharacteristic
649C4⋊Dic47C2411yescharacteristic
650C4⋊Dic47C2411yescharacteristic
651Dic47⋊C4—21no—
652Dic47⋊C4—21no—
653Dic47⋊C4—21no—
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667C4×Dic47—21no—
668C4×Dic47—21no—
669C4×Dic47—21no—
670C4×Dic47—21no—
671C4×Dic47—21no—
672C4×Dic47—21no—
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47C2×D411yescharacteristic
680C4×Dic47C2×D411yescharacteristic
681C4×Dic47C2×D411yescharacteristic
682C4×Dic47C2×D411yescharacteristic
683C4×Dic47C2×D411yescharacteristic
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2×D411yescharacteristic
687C4×Dic47C2×D411yescharacteristic
688C4×Dic47C2×D411yescharacteristic
689C4×Dic47C2411yescharacteristic
690C4×Dic47C2411yescharacteristic
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694C2×C47⋊C8C2411yescharacteristic
695Dic188—22no—
696D376—22no—
697#10625325—22no—
698#10625325—22no—
699#10625324—22no—
700#10625324—22no—
701#10625324—22no—
702#10625324—22no—
703C23×C47—21no—
704C23×C47—21no—
705C23×C47C22×D411yescharacteristic
706C22×D47—24no—
707C22×D47—21no—
708C22×D47—22no—
709C22×D47—22no—
710C22×D47—21no—
711C22×D47—41no—
712C22×D47—42no—
713C22×D47—42no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47C22×D411yescharacteristic
718C22×D47C22×D411yescharacteristic
719Q8×C47—21no—
720Q8×C47—21no—
721Q8×C47—21no—
722Q8×C47C2×#4112yes—
723D4×C47—24no—
724D4×C47—21no—
725D4×C47—21no—
726D4×C47—21no—
727D4×C47—42no—
728D4×C47C2×#4112yes—
729C2×C4×C47—24no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—41no—
739C2×C4×C47—41no—
740C2×C4×C47—42no—
741C2×C4×C47—42no—
742C2×C4×C47—42no—
743C2×C4×C47C22×D411yescharacteristic
744C2×C4×C47C22×D411yescharacteristic
745C2×C4×C47C22×D411yescharacteristic
746C2×C4×C47C22×D411yescharacteristic
747C2×C4×C47C22×D411yescharacteristic
748C2×C4×C47C2511yescharacteristic
749C22⋊D47—24no—
750C22⋊D47—24no—
751C22⋊D47—24no—
752C22⋊D47—42no—
753C22⋊D47—42no—
754C22⋊D47—42no—
755C2×Dic47—21no—
756C2×Dic47—22no—
757C2×Dic47—24no—
758C2×Dic47—22no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—41no—
765C2×Dic47—42no—
766C2×Dic47—42no—
767C2×Dic47—42no—
768C2×Dic47C22×D411yescharacteristic
769C2×Dic47C22×D411yescharacteristic
770C2×Dic47C22×D411yescharacteristic
771C2×Dic47C22×D411yescharacteristic
772C2×Dic47C22×D411yescharacteristic
773C2×Dic47C22×D411yescharacteristic
774D188—24no—
775D188—21no—
776D188—21no—
777D188—21no—
778D188—42no—
779D188C2×#4112yes—
780C4×D47—24no—
781C4×D47—24no—
782C4×D47—22no—
783C4×D47—22no—
784C4×D47—22no—
785C4×D47—21no—
786C4×D47—21no—
787C4×D47—22no—
788C4×D47—24no—
789C4×D47—22no—
790C4×D47—22no—
791C4×D47—41no—
792C4×D47—41no—
793C4×D47—41no—
794C4×D47—41no—
795C4×D47—42no—
796C4×D47—42no—
797C4×D47—42no—
798C4×D47—42no—
799C4×D47—42no—
800C4×D47—42no—
801C4×D47—42no—
802C4×D47—42no—
803C4×D47—42no—
804C4×D47—42no—
805C4×D47—42no—
806C4×D47C2×#4112yes—
807C4×D47C2×#4112yes—
808Dic94—24no—
809Dic94—21no—
810Dic94—21no—
811Dic94—21no—
812Dic94—42no—
813Dic94C2×#4112yes—
814C8×C47—21no—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C47⋊C8—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822#60563—471nomaximal, Sylow
823C22×C47—21no—
824C22×C47—22no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47C23×D411yescharacteristic
833C2×D47—21no—
834C2×D47—21no—
835C2×D47—21no—
836C2×D47—21no—
837C2×D47—22no—
838C2×D47—44no—
839C2×D47—48no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—84no—
846C2×D47#52512yes—
847C2×D47#57512yes—
848C4×C47—22no—
849C4×C47—21no—
850C4×C47—21no—
851C4×C47—21no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47C22×#4111yescharacteristic
860C4×C47C22×#4111yescharacteristic
861Dic47—21no—
862Dic47—22no—
863Dic47—21no—
864Dic47—21no—
865Dic47—21no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47#52512yes—
872Dic47#57512yes—
873C2×#529—471no—
874C2×C4×#41—471no—
875#3117—471no—
876#3117—471no—
877#3114—471no—
878#3114—471no—
879#3111—471no—
880#3111—471no—
881#3111—471no—
882#3111D4711yescharacteristic, complemented
883#3108—471no—
884#3108—471no—
885#3105—471no—
886#3105—471no—
887#3102—471no—
888#3102—471no—
889#3102—471no—
890#3102—471no—
891#3095—471no—
892#3094—471no—
893#3080—471no—
894#3080—471no—
895#3040—471no—
896#3040—471no—
897#3007—471no—
898#3006—471no—
899C4×#137—471no—
900C4×#137—471no—
901C4×AGL(1,ℤ/8)—471no—
902C4×AGL(1,ℤ/8)—471no—
903#2920—471no—
904C2×C47—41no—
905C2×C47—42no—
906C2×C47—81no—
907C2×C47C2×#52511yescharacteristic
908C2×C47C2×#57511yescharacteristic
909C2×C47C2×#57511yescharacteristic
910D47—22no—
911D47—22no—
912D47—42no—
913D47—81no—
914C22×#41—471no—
915C2×#137—471no—
916C2×#137—471no—
917C2×AGL(1,ℤ/8)—471no—
918C2×AGL(1,ℤ/8)—471no—
919#529—471no—
920#529—471no—
921#529—471no—
922#529—471no—
923#529—471no—
924#529—471no—
925#529—471no—
926#529—941no—
927#529—941no—
928#529—941no—
929#529—941no—
930#529C2×D4711yescharacteristic, complemented
931C2×#126—941no—
932C2×#125—471no—
933C2×#124—471no—
934C2×#123—941no—
935C2×C22⋊Q8—471no—
936C2×#121—471no—
937C4×#41—471no—
938C4×#41—471no—
939C4×#41—471no—
940C4×#41—471no—
941C4×#41—471no—
942C4×#41—471no—
943C4×#41—471no—
944C4×#41—941no—
945C4×#41—941no—
946C4×#41—941no—
947C4×#41—941no—
948C4×#41C2×D4711yescharacteristic, complemented
949C2×C4×Q8—471no—
950C2×C4×Q8—471no—
951C2×C4×Q8—471no—
952C2×C4×D4—471no—
953C2×C4×D4—471no—
954C2×C4×D4—471no—
955C2×C4×D4—941no—
956C2×C4×D4—941no—
957C2×C4×D4—941no—
958C2×#117—471no—
959C2×#117—941no—
960C2×#117—941no—
961C22×C42—471no—
962C22×C42—941no—
963#485—471no—
964#485—471no—
965#485—471no—
966#485C2×D4711yescharacteristic, complemented
967#484—471no—
968#484—471no—
969#483—471no—
970#483—471no—
971#482—471no—
972#482—471no—
973#482—471no—
974#482C2×D4711yescharacteristic, complemented
975#481—471no—
976#481—471no—
977#480—471no—
978#480—471no—
979#479—471no—
980#479—471no—
981#479—471no—
982#479—471no—
983#479—471no—
984#479—471no—
985#479—471no—
986#479C2×D4711yescharacteristic, complemented
987#478—471no—
988#478—471no—
989#478—471no—
990#478—471no—
991#478—471no—
992#478—471no—
993#478—471no—
994#478C2×D4711yescharacteristic, complemented
995#464—471no—
996#464—471no—
997#464—471no—
998#464—471no—
999#464—471no—
1000#464—471no—
1001#464—471no—
1002#464C2×D4711yescharacteristic, complemented
1003#463—471no—
1004#463—471no—
1005#463—471no—
1006#463—471no—
1007#463—471no—
1008#463—471no—
1009#463—471no—
1010#463C2×D4711yescharacteristic, complemented
1011#452—471no—
1012#452—471no—
1013#452—471no—
1014#452C2×D4711yescharacteristic, complemented
1015#451—471no—
1016#451—471no—
1017#450—471no—
1018#450—471no—
1019#449—471no—
1020#449—471no—
1021#449—471no—
1022#449C2×D4711yescharacteristic
1023#448—471no—
1024#448—471no—
1025#447—471no—
1026#447—471no—
1027#442—471no—
1028#442—471no—
1029#442—471no—
1030#442C2×D4711yescharacteristic, complemented
1031#441—471no—
1032#441—471no—
1033#441—471no—
1034#441C2×D4711yescharacteristic, complemented
1035#440—471no—
1036#440—471no—
1037#440—471no—
1038#440—471no—
1039#440—471no—
1040#440—471no—
1041#440C2×D4711yescharacteristic, complemented
1042#440C2×D4711yescharacteristic, complemented
1043C4×Q16—471no—
1044C4×Q16—471no—
1045C4×Q16—471no—
1046C4×Q16—471no—
1047C4×SD16—471no—
1048C4×SD16—471no—
1049C4×SD16—471no—
1050C4×SD16—471no—
1051C4×SD16—471no—
1052C4×SD16—471no—
1053C4×SD16—471no—
1054C4×SD16—471no—
1055C4×D8—471no—
1056C4×D8—471no—
1057C4×D8—471no—
1058C4×D8—471no—
1059#432—471no—
1060#432—471no—
1061#432—471no—
1062#432C2×D4711yescharacteristic, complemented
1063#431—471no—
1064#431—471no—
1065#431—471no—
1066#431—471no—
1067#428—471no—
1068#428—471no—
1069#428—471no—
1070#428—471no—
1071#423—471no—
1072#423—471no—
1073#419—471no—
1074#419—471no—
1075#418—471no—
1076#418—471no—
1077#417—471no—
1078#417—471no—
1079#417—471no—
1080#417—471no—
1081#407—471no—
1082#407—471no—
1083C4×M16—471no—
1084C4×M16—471no—
1085C47#6056311yescharacteristic, complemented, Sylow
1086C2×#41—471no—
1087C2×#41—471no—
1088C2×#41—471no—
1089C2×#41—941no—
1090C2×#41—941no—
1091C2×#41—944no—
1092C2×#41—944no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×D4—471no—
1097C22×D4—471no—
1098C22×D4—941no—
1099C22×D4—941no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4—471no—
1103C23×C4—941no—
1104C23×C4—941no—
1105C23×C4—941no—
1106C23×C4—941no—
1107#137—944no—
1108#137—944no—
1109AGL(1,ℤ/8)—944no—
1110AGL(1,ℤ/8)—944no—
1111C2×Q16—471no—
1112C2×Q16—471no—
1113C2×Q16—471no—
1114C2×Q16C22×D4711yescharacteristic
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16C22×D4711yescharacteristic
1122C2×SD16C22×D4711yescharacteristic
1123C2×D8—471no—
1124C2×D8—471no—
1125C2×D8—471no—
1126C2×D8C22×D4711yescharacteristic
1127C2×M16—471no—
1128C2×M16—471no—
1129C2×M16—471no—
1130C2×M16—471no—
1131#126—21no—
1132#126—941no—
1133#126—941no—
1134#126—941no—
1135#126—941no—
1136#126—941no—
1137#126—941no—
1138#126—941no—
1139#125—471no—
1140#125—471no—
1141#125—471no—
1142#125—941no—
1143#125—941no—
1144#125C22×D4711yescharacteristic
1145#124—471no—
1146#124—471no—
1147#124—471no—
1148#124—941no—
1149#124—941no—
1150#124C22×D4711yescharacteristic
1151#123—21no—
1152#123—941no—
1153#123—941no—
1154#123—941no—
1155#123—941no—
1156#123—941no—
1157#123—941no—
1158#123—941no—
1159C22⋊Q8—471no—
1160C22⋊Q8—471no—
1161C22⋊Q8—471no—
1162C22⋊Q8—941no—
1163C22⋊Q8—941no—
1164C22⋊Q8C22×D4711yescharacteristic
1165#121—471no—
1166#121—471no—
1167#121—471no—
1168#121—941no—
1169#121—941no—
1170#121C22×D4711yescharacteristic
1171C4×Q8—471no—
1172C4×Q8—471no—
1173C4×Q8—471no—
1174C4×Q8—471no—
1175C4×Q8—471no—
1176C4×Q8—471no—
1177C4×Q8—471no—
1178C4×Q8—471no—
1179C4×Q8—471no—
1180C4×Q8—941no—
1181C4×Q8—941no—
1182C4×Q8—941no—
1183C4×Q8—941no—
1184C4×Q8—941no—
1185C4×Q8—941no—
1186C4×Q8C22×D4711yescharacteristic
1187C4×Q8C22×D4711yescharacteristic
1188C4×Q8C22×D4711yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—471no—
1193C4×D4—471no—
1194C4×D4—471no—
1195C4×D4—471no—
1196C4×D4—471no—
1197C4×D4—471no—
1198C4×D4—471no—
1199C4×D4—471no—
1200C4×D4—471no—
1201C4×D4—941no—
1202C4×D4—941no—
1203C4×D4—941no—
1204C4×D4—941no—
1205C4×D4—941no—
1206C4×D4—941no—
1207C4×D4—941no—
1208C4×D4—941no—
1209C4×D4—941no—
1210C4×D4—941no—
1211C4×D4—941no—
1212C4×D4—941no—
1213C4×D4—941no—
1214C4×D4—941no—
1215C4×D4—941no—
1216C4×D4—941no—
1217C4×D4—941no—
1218C4×D4—941no—
1219C4×D4—941no—
1220C4×D4—941no—
1221C4×D4—941no—
1222C4×D4—941no—
1223C4×D4—941no—
1224C4×D4—941no—
1225C4×D4—941no—
1226C4×D4—941no—
1227C4×D4—941no—
1228C4×D4C22×D4711yescharacteristic
1229C4×D4C22×D4711yescharacteristic
1230C4×D4C22×D4711yescharacteristic
1231#117—21no—
1232#117—21no—
1233#117—471no—
1234#117—471no—
1235#117—471no—
1236#117—941no—
1237#117—941no—
1238#117—941no—
1239#117—941no—
1240#117—941no—
1241#117—941no—
1242#117—941no—
1243#117—941no—
1244#117—941no—
1245#117—941no—
1246#117—941no—
1247#117—941no—
1248#117—941no—
1249#117—941no—
1250#117—941no—
1251#117—941no—
1252#117C22×D4711yescharacteristic
1253C2×C4⋊C4—471no—
1254C2×C4⋊C4—471no—
1255C2×C4⋊C4—471no—
1256C2×C4⋊C4—471no—
1257C2×C4⋊C4—941no—
1258C2×C4⋊C4—941no—
1259C2×C4⋊C4—941no—
1260C2×C4⋊C4—941no—
1261C2×C4⋊C4—941no—
1262C2×C4⋊C4—941no—
1263C2×C22⋊C4—941no—
1264C2×C22⋊C4—941no—
1265C2×C22⋊C4—941no—
1266C2×C22⋊C4—941no—
1267C2×C22⋊C4—941no—
1268C2×C22⋊C4—941no—
1269C2×C22⋊C4—941no—
1270C2×C22⋊C4—941no—
1271C2×C42—21no—
1272C2×C42—471no—
1273C2×C42—471no—
1274C2×C42—471no—
1275C2×C42—471no—
1276C2×C42—471no—
1277C2×C42—471no—
1278C2×C42—471no—
1279C2×C42—471no—
1280C2×C42—471no—
1281C2×C42—471no—
1282C2×C42—471no—
1283C2×C42—941no—
1284C2×C42—941no—
1285C2×C42—941no—
1286C2×C42—941no—
1287C2×C42—941no—
1288C2×C42—941no—
1289C2×C42—941no—
1290C2×C42—941no—
1291C2×C42—941no—
1292C2×C42—941no—
1293C2×C42—941no—
1294C2×C42C22×D4711yescharacteristic
1295#107—471no—
1296#107—471no—
1297#107—471no—
1298#107—471no—
1299#107—471no—
1300#107—471no—
1301#107C22×D4711yescharacteristic
1302#107C22×D4711yescharacteristic
1303#106—471no—
1304#106—471no—
1305#106—471no—
1306#106—471no—
1307#106—471no—
1308#106—471no—
1309#106C22×D4711yescharacteristic
1310#106C22×D4711yescharacteristic
1311C4⋊C8—471no—
1312C4⋊C8—471no—
1313C4⋊C8—471no—
1314C4⋊C8—471no—
1315C4⋊C8—471no—
1316C4⋊C8—471no—
1317C4⋊C8C22×D4711yescharacteristic
1318C4⋊C8C22×D4711yescharacteristic
1319#103—471no—
1320#103—471no—
1321#103—471no—
1322#103—471no—
1323#103—471no—
1324#103—471no—
1325#103—471no—
1326#103—471no—
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103C22×D4711yescharacteristic
1332#103C22×D4711yescharacteristic
1333#103C22×D4711yescharacteristic
1334#103C22×D4711yescharacteristic
1335#102—471no—
1336#102—471no—
1337#102—471no—
1338#102—471no—
1339#102—471no—
1340#102—471no—
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102C22×D4711yescharacteristic
1348#102C22×D4711yescharacteristic
1349#102C22×D4711yescharacteristic
1350#102C22×D4711yescharacteristic
1351C22⋊C8—471no—
1352C22⋊C8—471no—
1353C22⋊C8—471no—
1354C22⋊C8—471no—
1355C22⋊C8—471no—
1356C22⋊C8—471no—
1357C22⋊C8C22×D4711yescharacteristic
1358C22⋊C8C22×D4711yescharacteristic
1359#97—471no—
1360#97—471no—
1361#97C22×D4711yescharacteristic
1362#97C22×D4711yescharacteristic
1363C4×C8—471no—
1364C4×C8—471no—
1365C4×C8—471no—
1366C4×C8—471no—
1367C24—471no—
1368C24—941no—
1369C24—941no—
1370#41—22no—
1371#41—22no—
1372#41—474no—
1373#41—474no—
1374#41—942no—
1375#41—942no—
1376#41—948no—
1377#41—942no—
1378#41—942no—
1379#41—948no—
1380C2×Q8—471no—
1381C2×Q8—471no—
1382C2×Q8—941no—
1383C2×Q8—941no—
1384C2×Q8—942no—
1385C2×Q8—942no—
1386C2×Q8—942no—
1387C2×Q8—942no—
1388C2×Q8C23×D4711yescharacteristic
1389C2×Q8C23×D4711yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—471no—
1393C2×D4—471no—
1394C2×D4—941no—
1395C2×D4—941no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—941no—
1399C2×D4—941no—
1400C2×D4—942no—
1401C2×D4—948no—
1402C2×D4—941no—
1403C2×D4—941no—
1404C2×D4—942no—
1405C2×D4—941no—
1406C2×D4—941no—
1407C2×D4—1884no—
1408C2×D4C23×D4711yescharacteristic
1409C2×D4C23×D4711yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—471no—
1415C22×C4—471no—
1416C22×C4—471no—
1417C22×C4—471no—
1418C22×C4—471no—
1419C22×C4—471no—
1420C22×C4—471no—
1421C22×C4—471no—
1422C22×C4—471no—
1423C22×C4—471no—
1424C22×C4—471no—
1425C22×C4—471no—
1426C22×C4—471no—
1427C22×C4—471no—
1428C22×C4—471no—
1429C22×C4—941no—
1430C22×C4—942no—
1431C22×C4—942no—
1432C22×C4—941no—
1433C22×C4—941no—
1434C22×C4—941no—
1435C22×C4—941no—
1436C22×C4—948no—
1437C22×C4—941no—
1438C22×C4—941no—
1439C22×C4—941no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4—941no—
1450C22×C4—1882no—
1451C22×C4—1882no—
1452C22×C4—1884no—
1453C22×C4—1884no—
1454C22×C4—1884no—
1455C22×C4D4×D4711yescharacteristic
1456C22×C4D4×D4711yescharacteristic
1457C22×C4C23×D4711yescharacteristic
1458Q16—22no—
1459Q16—942no—
1460Q16—942no—
1461Q16—942no—
1462SD16—22no—
1463SD16—22no—
1464SD16—942no—
1465SD16—942no—
1466SD16—942no—
1467SD16—942no—
1468SD16—942no—
1469SD16—942no—
1470D8—22no—
1471D8—942no—
1472D8—942no—
1473D8—942no—
1474M16—942no—
1475M16—942no—
1476M16—942no—
1477M16—942no—
1478C2×C8—471no—
1479C2×C8—471no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8C23×D4711yescharacteristic
1483C2×C8C23×D4711yescharacteristic
1484C2×C8C23×D4711yescharacteristic
1485C2×C8C23×D4711yescharacteristic
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—471no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—941no—
1497C4⋊C4—941no—
1498C4⋊C4—941no—
1499C4⋊C4—941no—
1500C4⋊C4—941no—
1501C4⋊C4—941no—
1502C4⋊C4—941no—
1503C4⋊C4—941no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4C23×D4711yescharacteristic
1519C4⋊C4C23×D4711yescharacteristic
1520C4⋊C4C23×D4711yescharacteristic
1521C4⋊C4C23×D4711yescharacteristic
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—941no—
1531C22⋊C4—941no—
1532C22⋊C4—941no—
1533C22⋊C4—941no—
1534C22⋊C4—941no—
1535C22⋊C4—941no—
1536C22⋊C4—941no—
1537C22⋊C4—941no—
1538C22⋊C4—941no—
1539C22⋊C4—941no—
1540C22⋊C4—941no—
1541C22⋊C4—941no—
1542C22⋊C4—941no—
1543C22⋊C4—941no—
1544C22⋊C4—941no—
1545C22⋊C4—941no—
1546C22⋊C4—941no—
1547C22⋊C4—941no—
1548C22⋊C4—941no—
1549C22⋊C4—941no—
1550C22⋊C4—941no—
1551C22⋊C4—941no—
1552C22⋊C4—941no—
1553C22⋊C4—941no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—471no—
1559C42—471no—
1560C42—471no—
1561C42—471no—
1562C42—471no—
1563C42—471no—
1564C42—471no—
1565C42—471no—
1566C42—471no—
1567C42—471no—
1568C42—471no—
1569C42—471no—
1570C42—941no—
1571C42—941no—
1572C42—941no—
1573C42—941no—
1574C42—941no—
1575C42—941no—
1576C42—941no—
1577C42—941no—
1578C42—941no—
1579C42—941no—
1580C42—941no—
1581C42—941no—
1582C42D4×D4711yescharacteristic
1583C42D4×D4711yescharacteristic
1584C42C23×D4711yescharacteristic
1585C42C23×D4711yescharacteristic
1586C23—21no—
1587C23—21no—
1588C23—471no—
1589C23—471no—
1590C23—942no—
1591C23—942no—
1592C23—944no—
1593C23—941no—
1594C23—941no—
1595C23—1881no—
1596C23—1882no—
1597C23—1882no—
1598C23—1882no—
1599C23—1882no—
1600C23—1882no—
1601C23C2×D4×D4711yescharacteristic
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—472no—
1606Q8—944no—
1607Q8—941no—
1608Q8—941no—
1609Q8—941no—
1610Q8—1882no—
1611Q8#41×D4712yes—
1612D4—24no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—472no—
1618D4—944no—
1619D4—944no—
1620D4—944no—
1621D4—944no—
1622D4—941no—
1623D4—941no—
1624D4—941no—
1625D4—1882no—
1626D4—1882no—
1627D4—1882no—
1628D4—1882no—
1629D4#41×D4712yes—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—471no—
1645C2×C4—471no—
1646C2×C4—472no—
1647C2×C4—472no—
1648C2×C4—471no—
1649C2×C4—471no—
1650C2×C4—471no—
1651C2×C4—471no—
1652C2×C4—942no—
1653C2×C4—942no—
1654C2×C4—942no—
1655C2×C4—944no—
1656C2×C4—942no—
1657C2×C4—942no—
1658C2×C4—942no—
1659C2×C4—944no—
1660C2×C4—944no—
1661C2×C4—942no—
1662C2×C4—942no—
1663C2×C4—944no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—1881no—
1673C2×C4—1881no—
1674C2×C4—1881no—
1675C2×C4—1881no—
1676C2×C4—1882no—
1677C2×C4—1882no—
1678C2×C4—1882no—
1679C2×C4—1882no—
1680C2×C4—1882no—
1681C2×C4—1882no—
1682C2×C4—1882no—
1683C2×C4—1882no—
1684C2×C4—1882no—
1685C2×C4—1882no—
1686C2×C4—1882no—
1687C2×C4—1882no—
1688C2×C4—1882no—
1689C2×C4—1881no—
1690C2×C4—1882no—
1691C2×C4C2×D4×D4711yescharacteristic
1692C2×C4C2×D4×D4711yescharacteristic
1693C2×C4C2×D4×D4711yescharacteristic
1694C2×C4C2×D4×D4711yescharacteristic
1695C2×C4C2×D4×D4711yescharacteristic
1696C2×C4C24×D4711yescharacteristic
1697C8—21no—
1698C8—21no—
1699C8—21no—
1700C8—21no—
1701C8—941no—
1702C8—941no—
1703C8—941no—
1704C8—941no—
1705C22—21no—
1706C22—21no—
1707C22—21no—
1708C22—22no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—472no—
1715C22—472no—
1716C22—941no—
1717C22—941no—
1718C22—941no—
1719C22—941no—
1720C22—942no—
1721C22—3764no—
1722C22—1884no—
1723C22—1888no—
1724C22—1881no—
1725C22—1881no—
1726C22—1881no—
1727C22—1881no—
1728C22—1881no—
1729C22C22×D4×D4711yescharacteristic
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—22no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—472no—
1742C4—472no—
1743C4—941no—
1744C4—941no—
1745C4—941no—
1746C4—941no—
1747C4—942no—
1748C4—1881no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4C2×#41×D4711yescharacteristic
1754C4C2×#41×D4711yescharacteristic
1755C2—41no—
1756C2—42no—
1757C2—81no—
1758C2—942no—
1759C2—942no—
1760C2—3761no—
1761C2—1882no—
1762C2#525×D4711yescharacteristic
1763C2#575×D4711yescharacteristic
1764C2#575×D4711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3111C2
socleC22×C47C23×D4
prime radical#20252637C2
hypercenter#3111D47
hypocenterC47#60563
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #529×D47C2semidirect
2. C4×#41×D47C2semidirect
3. #20253563C2semidirect
4. #20253557C2semidirect
5. #20253530C2semidirect
6. #20253524C2semidirect
7. #20253499C2semidirect
8. #20253497C2semidirect
9. #20253491C2semidirect
10. #20253473C2semidirect
11. #20253467C2semidirect
12. #20253440C2semidirect
13. #20253434C2semidirect
14. #20253409C2semidirect
15. #20253407C2semidirect
16. #20253401C2semidirect
17. #20253399C2semidirect
18. #20253335C2semidirect
19. #20253327C2semidirect
20. #20253207C2semidirect
21. #20253205C2semidirect
22. #20252879C2semidirect
23. #20252877C2semidirect
24. #20252645C2semidirect
26. #20252210C2semidirect
27. #20252204C2semidirect
28. #20252199C2semidirect
29. #20252193C2semidirect
30. #20252018C2semidirect
31. C47×#3111C2semidirect
38. #15689659C22semidirect
40. #15689657C22semidirect
43. #15689654C22semidirect
49. #125×D47C22semidirect
50. #124×D47C22semidirect
54. #41×Dic47C22semidirect
58. C4×#10625350C22semidirect
60. #15689591C22semidirect
65. C4×Q8×D47C22semidirect
66. C4×Q8×D47C22semidirect
67. C4×Q8×D47C22semidirect
71. C4×D4×D47C22semidirect
72. C4×D4×D47C22semidirect
73. C4×D4×D47C22semidirect
79. #15689465C22semidirect
80. #15689464C22semidirect
81. #15689461C22semidirect
82. #15689460C22semidirect
83. #15689457C22semidirect
84. #15689455C22semidirect
85. #15689452C22semidirect
86. #15689448C22semidirect
87. #15689447C22semidirect
88. #15689444C22semidirect
93. #15689433C22semidirect
94. #15689432C22semidirect
95. #15689431C22semidirect
96. #15689430C22semidirect
97. #15689429C22semidirect
98. #15689428C22semidirect
99. #15689427C22semidirect
100. #15689426C22semidirect
101. #15689425C22semidirect
102. #15689424C22semidirect
103. #15689423C22semidirect
104. #15689422C22semidirect
105. #15689421C22semidirect
106. #15689420C22semidirect
107. #15689348C22semidirect
108. #15689347C22semidirect
109. #15689346C22semidirect
110. #15689345C22semidirect
111. #15689344C22semidirect
112. #15689343C22semidirect
113. #15689342C22semidirect
114. #15689341C22semidirect
115. #15689340C22semidirect
116. #15689339C22semidirect
117. #15689338C22semidirect
118. #15689337C22semidirect
119. #15689336C22semidirect
120. #15689335C22semidirect
121. #15689287C22semidirect
122. #15689285C22semidirect
123. #15689283C22semidirect
124. #15689280C22semidirect
125. #15689277C22semidirect
126. #15689275C22semidirect
127. #15689272C22semidirect
135. #15689236C22semidirect
136. #15689233C22semidirect
137. #15689233C22semidirect
138. #15689231C22semidirect
139. #15689228C22semidirect
140. #15689228C22semidirect
141. #15689225C22semidirect
142. #15689225C22semidirect
143. #15689223C22semidirect
144. #15689223C22semidirect
145. #15689221C22semidirect
146. #15689221C22semidirect
147. Q16×Dic47C22semidirect
148. #15689217C22semidirect
149. #15689215C22semidirect
150. #15689215C22semidirect
151. #15689214C22semidirect
152. #15689214C22semidirect
153. SD16×Dic47C22semidirect
154. SD16×Dic47C22semidirect
155. #15689210C22semidirect
156. #15689210C22semidirect
157. #15689208C22semidirect
158. #15689208C22semidirect
159. D8×Dic47C22semidirect
160. #15689205C22semidirect
161. #15689203C22semidirect
162. #15689203C22semidirect
163. #15689180C22semidirect
164. #15689178C22semidirect
165. #15689178C22semidirect
166. #15689175C22semidirect
167. #15689175C22semidirect
168. #15689173C22semidirect
169. #15689173C22semidirect
170. #15689164C22semidirect
171. #15689164C22semidirect
172. #15689162C22semidirect
173. #15689162C22semidirect
174. #15689145C22semidirect
175. #15689145C22semidirect
176. #15689130C22semidirect
177. #15689130C22semidirect
178. #15689126C22semidirect
179. #15689126C22semidirect
186. #15689075C22semidirect
187. #15689075C22semidirect
188. C47×#529C22semidirect
189. C4×#41×C47C22semidirect
190. C47×#485C22semidirect
191. C47×#482C22semidirect
192. C47×#479C22semidirect
193. C47×#478C22semidirect
194. C47×#464C22semidirect
195. C47×#463C22semidirect
196. C47×#452C22semidirect
198. C47×#442C22semidirect
199. C47×#441C22semidirect
200. C47×#440C22semidirect
201. C47×#440C22semidirect
202. C47×#432C22semidirect
882. #3111D47semidirect
930. #529C2×D47semidirect
948. C4×#41C2×D47semidirect
966. #485C2×D47semidirect
974. #482C2×D47semidirect
986. #479C2×D47semidirect
994. #478C2×D47semidirect
1002. #464C2×D47semidirect
1010. #463C2×D47semidirect
1014. #452C2×D47semidirect
1030. #442C2×D47semidirect
1034. #441C2×D47semidirect
1041. #440C2×D47semidirect
1042. #440C2×D47semidirect
1062. #432C2×D47semidirect
1085. C47#60563semidirect

Maximal subgroups

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

subgroupindex
#529×D472
C4×#41×D472
#202535632
#202535572
#202535302
#202535242
#202534992
#202534972
#202534912
#202534732
#202534672
#202534402
#202534342
#202534092
#202534072
#202534012
#202533992
#202533352
#202533272
#202532072
#202532052
#202528792
#202528772
#202526452
#202526372
#202522102
#202522042
#202521992
#202521932
#202520182
C47×#31112
#6056347