Finite Group Databasebeta

← #27097877

Subgroups — #27097877

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#20256950C211yesmaximal, characteristic, complemented
2D4×#10625350C211yesmaximal, characteristic, complemented
3#20256409C211yesmaximal, characteristic, complemented
4#20256288C211yesmaximal, characteristic, complemented
5#20256107C211yesmaximal, characteristic, complemented
6#20256096C211yesmaximal, characteristic, complemented
7#20255979C211yesmaximal, characteristic, complemented
8#20255833C211yesmaximal, characteristic, complemented
9#20255829C211yesmaximal, characteristic, complemented
10#20255689C211yesmaximal, characteristic, complemented
11#20255626C211yesmaximal, characteristic, complemented
12#20255414C211yesmaximal, characteristic, complemented
13#20255410C211yesmaximal, characteristic, complemented
14#20255354C211yesmaximal, characteristic, complemented
15#20255350C211yesmaximal, characteristic, complemented
16#20254982C211yesmaximal, characteristic, complemented
17#20254870C211yesmaximal, characteristic, complemented
18#20254862C211yesmaximal, characteristic, complemented
19#20253983C211yesmaximal, characteristic, complemented
20#20253979C211yesmaximal, characteristic, complemented
21#20253944C211yesmaximal, characteristic, complemented
22#20253448C211yesmaximal, characteristic, complemented
23#20253444C211yesmaximal, characteristic, complemented
24#20253439C211yesmaximal, characteristic, complemented
25#20253435C211yesmaximal, characteristic, complemented
26#20253394C211yesmaximal, characteristic, complemented
27#20253386C211yesmaximal, characteristic, complemented
28#20252350C211yesmaximal, characteristic, complemented
29C4×#13094048C211yesmaximal, characteristic, complemented
30C4×D8×D47C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C47C211yesmaximal, characteristic, complemented
32C22×#10625350—21no—
33C2×#13094048C2211yescharacteristic
34C2×D8×D47C2211yescharacteristic
35#15689845C2211yescharacteristic, complemented
36#15689836C2211yescharacteristic, complemented
37#15689832C2211yescharacteristic, complemented
38#15689822—21no—
39#15689814C2211yescharacteristic, complemented
40#15689812C2211yescharacteristic, complemented
41#15689806—21no—
42#15689802—21no—
43#15689797—21no—
44#15689794C2211yescharacteristic, complemented
45D4×Dic94C2211yescharacteristic, complemented
46#15689782—21no—
47#15689778C2211yescharacteristic
48#15689774C2211yescharacteristic
49#15689774C2211yescharacteristic, complemented
50#15689772C2211yescharacteristic, complemented
51#15689769—21no—
52#15689768C2211yescharacteristic, complemented
53#15689763—21no—
54#15689763—21no—
55#15689761C2211yescharacteristic, complemented
56D4×D188C2211yescharacteristic
57D4×C22⋊D47C2211yescharacteristic
58D4×C22⋊D47C2211yescharacteristic, complemented
59#15689677C2211yescharacteristic, complemented
60#15689673C2211yescharacteristic, complemented
61#15689670C2211yescharacteristic
62#15689670C2211yescharacteristic, complemented
63#15689660C2211yescharacteristic, complemented
64#15689657—21no—
65#15689657C2211yescharacteristic, complemented
66#15689653—21no—
67#15689634—21no—
68#15689632—21no—
69#15689632—21no—
70#15689632—21no—
71C4×#10625350C2211yescharacteristic
72C4×#10625352C2211yescharacteristic, complemented
73C4×D4×D47C2211yescharacteristic
74C4×D4×D47C2211yescharacteristic, complemented
75C4×D4×D47C2211yescharacteristic, complemented
76C2×#13093981—21no—
77#15689532C2211yescharacteristic, complemented
78#15689530C2211yescharacteristic, complemented
79#15689520C2211yescharacteristic, complemented
80#15689512C2211yescharacteristic, complemented
81#15689509C2211yescharacteristic, complemented
82#15689494C2211yescharacteristic, complemented
83#15689488C2211yescharacteristic, complemented
84#15689486C2211yescharacteristic, complemented
85#15689484C2211yescharacteristic, complemented
86#15689483C2211yescharacteristic, complemented
87#15689472C2211yescharacteristic, complemented
88#15689468C2211yescharacteristic, complemented
89#15689458C2211yescharacteristic, complemented
90#15689457C2211yescharacteristic, complemented
91#15689455C2211yescharacteristic, complemented
92#15689452C2211yescharacteristic, complemented
93#15689450C2211yescharacteristic, complemented
94#15689447C2211yescharacteristic, complemented
95#15689447C2211yescharacteristic, complemented
96#15689446C2211yescharacteristic, complemented
97#15689443C2211yescharacteristic, complemented
98#15689441C2211yescharacteristic, complemented
99#15689438C2211yescharacteristic, complemented
100#15689435C2211yescharacteristic, complemented
101#15689423C2211yescharacteristic, complemented
102#15689423C2211yescharacteristic, complemented
103#15689422C2211yescharacteristic, complemented
104#15689421C2211yescharacteristic, complemented
105#15689418C2211yescharacteristic, complemented
106#15689417C2211yescharacteristic, complemented
107#15689413C2211yescharacteristic, complemented
108#15689412C2211yescharacteristic, complemented
109#15689411C2211yescharacteristic, complemented
110#15689411C2211yescharacteristic, complemented
111#15689402C2211yescharacteristic, complemented
112#15689401C2211yescharacteristic, complemented
113#15689377C2211yescharacteristic, complemented
114#15689376C2211yescharacteristic, complemented
115#15689376C2211yescharacteristic, complemented
116#15689375C2211yescharacteristic, complemented
117#15689372C2211yescharacteristic, complemented
118#15689369C2211yescharacteristic, complemented
119#15689369C2211yescharacteristic, complemented
120#15689366C2211yescharacteristic, complemented
121#15689355C2211yescharacteristic, complemented
122#15689353C2211yescharacteristic, complemented
123#15689351C2211yescharacteristic, complemented
124#15689349C2211yescharacteristic, complemented
125#15689341C2211yescharacteristic, complemented
126#15689340C2211yescharacteristic
127#15689338C2211yescharacteristic
128#15689338C2211yescharacteristic, complemented
129#15689327C2211yescharacteristic, complemented
130#15689326C2211yescharacteristic, complemented
131#15689323C2211yescharacteristic, complemented
132#15689322C2211yescharacteristic, complemented
133#15689318C2211yescharacteristic, complemented
134#15689317C2211yescharacteristic, complemented
135#15689316C2211yescharacteristic, complemented
136#15689316C2211yescharacteristic, complemented
137#15689275C2211yescharacteristic
138#15689274C2211yescharacteristic, complemented
139#15689272C2211yescharacteristic
140#15689272C2211yescharacteristic, complemented
141#15689269C2211yescharacteristic, complemented
142#15689268C2211yescharacteristic, complemented
143#15689268C2211yescharacteristic, complemented
144#15689265C2211yescharacteristic, complemented
145#15689258C2211yescharacteristic
146#15689258C2211yescharacteristic, complemented
147#15689257C2211yescharacteristic
148#15689255C2211yescharacteristic, complemented
149#15689251C2211yescharacteristic, complemented
150#15689251C2211yescharacteristic, complemented
151#15689235C2211yescharacteristic
152#15689232C2211yescharacteristic, complemented
153#15689222C2211yescharacteristic, complemented
154#15689220C2211yescharacteristic, complemented
155C4×#10625325C2211yescharacteristic, complemented
156C4×#10625325C2211yescharacteristic, complemented
157C4×#10625336C2211yescharacteristic, complemented
158C4×#10625336C2211yescharacteristic, complemented
159C4×#10625335C2211yescharacteristic, complemented
160C4×#10625335C2211yescharacteristic, complemented
161C4×D376C2211yescharacteristic, complemented
162C4×D376C2211yescharacteristic, complemented
163D8×Dic47C2211yescharacteristic
164#15689205C2211yescharacteristic, complemented
165C4×#10625334C2211yescharacteristic
166C4×#10625334C2211yescharacteristic, complemented
167C4×#10625334C2211yescharacteristic, complemented
168C4×#10625334C2211yescharacteristic, complemented
169#15689203C2211yescharacteristic
170#15689203C2211yescharacteristic, complemented
171#15689199C2211yescharacteristic, complemented
172#15689199C2211yescharacteristic, complemented
173#15689196C2211yescharacteristic, complemented
174#15689196C2211yescharacteristic, complemented
175#15689192C2211yescharacteristic, complemented
176#15689192C2211yescharacteristic, complemented
177#15689176C2211yescharacteristic, complemented
178#15689174C2211yescharacteristic, complemented
179#15689174C2211yescharacteristic, complemented
180#15689164C2211yescharacteristic, complemented
181#107×D47C2211yescharacteristic, complemented
182#15689126C2211yescharacteristic, complemented
183#15689121C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic
185#102×D47C2211yescharacteristic, complemented
186C4×#10625324C2211yescharacteristic, complemented
187C4×C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
189C4×#41×C47C2211yescharacteristic, complemented
190C2×C4×D4×C47C2211yescharacteristic, complemented
191C47×#442C2211yescharacteristic
192C47×#442C2211yescharacteristic, complemented
193C47×#440C2211yescharacteristic, complemented
194C47×#440C2211yescharacteristic, complemented
195C4×SD16×C47C2211yescharacteristic, complemented
196C4×SD16×C47C2211yescharacteristic, complemented
197C4×D8×C47C2211yescharacteristic
198C4×D8×C47C2211yescharacteristic, complemented
199C47×#428C2211yescharacteristic, complemented
200C47×#418C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C4×M16×C47C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350—48no—
211C2×#10625350D411yescharacteristic
212C2×#10625352C2311yescharacteristic
213C22×Dic94—21no—
214C22×D188—21no—
215C22×C22⋊D47—21no—
216C22×C22⋊D47—21no—
217C2×D4×D47C2311yescharacteristic
218C2×D4×D47C2311yescharacteristic
219C2×D4×D47C2311yescharacteristic
220C22×C4×D47—21no—
221C22×C4×D47—21no—
222C22×C4×D47—21no—
223#13094048—24no—
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625335C2311yescharacteristic
227C2×#10625335C2311yescharacteristic
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×D376C2311yescharacteristic
231C2×D376C2311yescharacteristic
232C2×#10625334C2311yescharacteristic
233C2×#10625334C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236D8×D47—24no—
237C2×#10625324C2311yescharacteristic
238C2×#10625324C2311yescharacteristic
239C2×C8×D47C2311yescharacteristic
240C2×C8×D47C2311yescharacteristic
241#13094024C2311yescharacteristic
242#13094023C2311yescharacteristic
243#13094023C2311yescharacteristic
244#13094023C2311yescharacteristic
245#13094022C2311yescharacteristic
246#13094021C2311yescharacteristic
247#13094020C2311yescharacteristic
248#13094020C2311yescharacteristic
249#13094019—21no—
250#13094019—21no—
251#13094018—21no—
252#13094018—21no—
253#13094018—21no—
254#13094017—21no—
255#13094016—21no—
256#13094016C2311yescharacteristic
257#13094015C2311yescharacteristic
258#13094014—21no—
259#13094014—21no—
260#13094013C2311yescharacteristic
261#13094012—21no—
262#13094012—21no—
263#13094012C2311yescharacteristic
264#13094010—21no—
265#13094010—21no—
266#13094010—21no—
267#13094009—21no—
268#13094009—21no—
269#13094009—21no—
270#13094009—21no—
271#13094008—21no—
272#13094007—21no—
273#13094007—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—21no—
277#13094006—21no—
278#13094006—21no—
279#13094006—21no—
280#13094005—21no—
281#13094004C2311yescharacteristic
282#13094003—21no—
283#13094003—21no—
284#13094003—21no—
285#13094003C2311yescharacteristic
286#13094002—21no—
287#13094002—21no—
288#13094002—21no—
289#13094002—21no—
290#13094001—21no—
291#13094001—21no—
292#13094001—21no—
293#13094001—21no—
294#13094000C2311yescharacteristic
295#13094000C2311yescharacteristic
296#13093999C2311yescharacteristic
297#13093999C2311yescharacteristic
298#13093999C2311yescharacteristic
299#13093998—21no—
300#13093998—21no—
301#13093998—21no—
302#13093998—21no—
303#13093998C2311yescharacteristic
304#13093998C2311yescharacteristic
305#13093998C2311yescharacteristic
306#13093997—21no—
307#13093997—21no—
308#13093997—21no—
309#13093997—21no—
310#13093997—21no—
311#13093996—21no—
312#13093996—21no—
313#13093996—21no—
314#13093996—21no—
315#13093995C2311yescharacteristic
316#13093995C2311yescharacteristic
317#13093994—21no—
318#13093994—21no—
319#13093994—21no—
320#13093993—21no—
321#13093993—21no—
322#13093992—21no—
323#13093992—21no—
324#13093992—21no—
325C4×Dic94—21no—
326C4×Dic94D411yescharacteristic
327C4×Dic94C2311yescharacteristic
328C4×Dic94C2311yescharacteristic
329#13093989C2311yescharacteristic
330C4×D188—21no—
331C4×D188—21no—
332C4×D188D411yescharacteristic
333C4×D188C2311yescharacteristic
334C4×D188C2311yescharacteristic
335C4×D188C2311yescharacteristic
336C4×D188C2311yescharacteristic
337D4×Dic47C2311yescharacteristic
338D4×Dic47C2311yescharacteristic
339D4×Dic47C2311yescharacteristic
340D4×Dic47C2311yescharacteristic
341#13093986C2311yescharacteristic
342#13093986C2311yescharacteristic
343#13093986C2311yescharacteristic
344C4×C22⋊D47—21no—
345C4×C22⋊D47—21no—
346C4×C22⋊D47—21no—
347C4×C22⋊D47—21no—
348C4×C22⋊D47—21no—
349C4×C22⋊D47—21no—
350C4×C22⋊D47—21no—
351C4×C22⋊D47D411yescharacteristic
352C4×C22⋊D47D411yescharacteristic
353C4×C22⋊D47C2311yescharacteristic
354C4×C22⋊D47C2311yescharacteristic
355(C22⋊D47)⋊C4—21no—
356(C22⋊D47)⋊C4—21no—
357(C22⋊D47)⋊C4—21no—
358(C22⋊D47)⋊C4—21no—
359#13093983D411yescharacteristic
360#13093982C2311yescharacteristic
361#13093981—21no—
362#13093981—21no—
363#13093981—21no—
364#13093981—21no—
365#13093981—21no—
366#13093981—21no—
367#13093981—21no—
368#13093981D411yescharacteristic
369#13093981D411yescharacteristic
370#13093980—21no—
371C2×Dic47⋊C4—21no—
372C2×Dic47⋊C4—21no—
373C4⋊C4×D47C2311yescharacteristic
374C4⋊C4×D47C2311yescharacteristic
375C4⋊C4×D47C2311yescharacteristic
376C2×(C2×D47)⋊C4—21no—
377C2×(C2×D47)⋊C4—21no—
378C22⋊C4×D47—21no—
379C22⋊C4×D47—21no—
380C22⋊C4×D47—21no—
381C2×C4×Dic47—21no—
382C42×D47C2311yescharacteristic
383C42×D47C2311yescharacteristic
384#13093958C2311yescharacteristic
385#13093958C2311yescharacteristic
386#13093957C2311yescharacteristic
387#13093957C2311yescharacteristic
388#13093957C2311yescharacteristic
389#13093957C2311yescharacteristic
390#13093956C2311yescharacteristic
391#13093956C2311yescharacteristic
392#13093955C2311yescharacteristic
393#13093955C2311yescharacteristic
394#13093955C2311yescharacteristic
395#13093955C2311yescharacteristic
396C4⋊(C47⋊C8)C2311yescharacteristic
397C4⋊(C47⋊C8)C2311yescharacteristic
398Dic47⋊C8C2311yescharacteristic
399Dic47⋊C8C2311yescharacteristic
400Dic47⋊C8C2311yescharacteristic
401Dic47⋊C8C2311yescharacteristic
402#13093949C2311yescharacteristic
403#13093949C2311yescharacteristic
404#13093948C2311yescharacteristic
405#13093948C2311yescharacteristic
406#13093947C2311yescharacteristic
407#13093947C2311yescharacteristic
408#13093946C2311yescharacteristic
409#13093946C2311yescharacteristic
410#13093946C2311yescharacteristic
411#13093946C2311yescharacteristic
412#13093946C2311yescharacteristic
413#13093946C2311yescharacteristic
414#13093945C2311yescharacteristic
415#13093945C2311yescharacteristic
416#13093945C2311yescharacteristic
417#13093945C2311yescharacteristic
418#13093945C2311yescharacteristic
419#13093945C2311yescharacteristic
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(C2×D47)⋊C8C2311yescharacteristic
431(C2×D47)⋊C8C2311yescharacteristic
432#13093934C2311yescharacteristic
433#13093934C2311yescharacteristic
434C4×C47⋊C8C2311yescharacteristic
435C4×C47⋊C8C2311yescharacteristic
436C8×Dic47C2311yescharacteristic
437C8×Dic47C2311yescharacteristic
438C2×#41×C47C2311yescharacteristic
439C22×D4×C47C2311yescharacteristic
440C23×C4×C47—21no—
441AGL(1,ℤ/8)×C47—24no—
442C2×SD16×C47C2311yescharacteristic
443C2×SD16×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446C2×M16×C47C2311yescharacteristic
447C2×M16×C47C2311yescharacteristic
448C4×Q8×C47C2311yescharacteristic
449C4×Q8×C47C2311yescharacteristic
450C4×D4×C47—21no—
451C4×D4×C47—21no—
452C4×D4×C47—21no—
453C4×D4×C47—21no—
454C4×D4×C47C2311yescharacteristic
455C4×D4×C47C2311yescharacteristic
456C4×D4×C47C2311yescharacteristic
457C4×D4×C47C2311yescharacteristic
458C4×D4×C47C2311yescharacteristic
459C4×D4×C47C2311yescharacteristic
460#117×C47—21no—
461#117×C47C2311yescharacteristic
462C2×C4⋊C4×C47C2311yescharacteristic
463C2×C22⋊C4×C47—21no—
464C2×C42×C47—21no—
465C2×C42×C47C2311yescharacteristic
466#107×C47C2311yescharacteristic
467#107×C47C2311yescharacteristic
468#106×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470#103×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#102×C47C2311yescharacteristic
473#102×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#97×C47C2311yescharacteristic
479#97×C47C2311yescharacteristic
480C4×C8×C47C2311yescharacteristic
481C4×C8×C47C2311yescharacteristic
482C24×C47—21no—
483C23×D47—21no—
484C23×D47—21no—
485C23×D47—21no—
486#41×C47—22no—
487#41×C47—41no—
488C2×Q8×C47C2411yescharacteristic
489C2×D4×C47—22no—
490C2×D4×C47—21no—
491C2×D4×C47—21no—
492C2×D4×C47—41no—
493C2×D4×C47C2411yescharacteristic
494C2×D4×C47C2411yescharacteristic
495C2×D4×C47C2411yescharacteristic
496C22×C4×C47—21no—
497C22×C4×C47—21no—
498C22×C4×C47—21no—
499C22×C4×C47—21no—
500C22×C4×C47—21no—
501C22×C4×C47—21no—
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47—44no—
505C22×C4×C47C2×D411yescharacteristic
506C22×C4×C47C2×D411yescharacteristic
507C22×C4×C47C2411yescharacteristic
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—44no—
522C2×C22⋊D47—44no—
523C2×C22⋊D47C2×D411yescharacteristic
524C2×C22⋊D47C2×D411yescharacteristic
525C22×Dic47—21no—
526C22×Dic47—21no—
527C22×Dic47—21no—
528C22×Dic47—21no—
529C22×Dic47—21no—
530#10625352—22no—
531#10625352—41no—
532D4×D47—22no—
533D4×D47—22no—
534D4×D47—22no—
535D4×D47—41no—
536D4×D47—41no—
537D4×D47—41no—
538#10625350—24no—
539#10625350—44no—
540#10625350—44no—
541#10625350—44no—
542#10625350—44no—
543#10625350—44no—
544#10625350—44no—
545#10625350—44no—
546C2×D188—21no—
547C2×D188—21no—
548C2×D188—21no—
549C2×D188—21no—
550C2×D188—21no—
551C2×D188—44no—
552C2×D188C2×D411yescharacteristic
553C2×D188C2411yescharacteristic
554C2×D188C2411yescharacteristic
555C2×D188C2411yescharacteristic
556C2×C4×D47—21no—
557C2×C4×D47—21no—
558C2×C4×D47—21no—
559C2×C4×D47—21no—
560C2×C4×D47—21no—
561C2×C4×D47—21no—
562C2×C4×D47—21no—
563C2×C4×D47—21no—
564C2×C4×D47—21no—
565C2×C4×D47—44no—
566C2×C4×D47—44no—
567C2×C4×D47—44no—
568C2×C4×D47C2×D411yescharacteristic
569C2×C4×D47C2×D411yescharacteristic
570C2×C4×D47C2×D411yescharacteristic
571C2×C4×D47C2×D411yescharacteristic
572C2×C4×D47C2411yescharacteristic
573C2×C4×D47C2411yescharacteristic
574C2×Dic94—21no—
575C2×Dic94—21no—
576C2×Dic94—21no—
577C2×Dic94—21no—
578C2×Dic94—44no—
579C2×Dic94C2×D411yescharacteristic
580C2×Dic94C2411yescharacteristic
581SD16×C47—22no—
582SD16×C47—22no—
583D8×C47—22no—
584D8×C47#4114yescomplemented
585M16×C47—22no—
586M16×C47—41no—
587C2×C8×C47C2411yescharacteristic
588C2×C8×C47C2411yescharacteristic
589C2×C8×C47C2411yescharacteristic
590C2×C8×C47C2411yescharacteristic
591C4⋊C4×C47—21no—
592C4⋊C4×C47—21no—
593C4⋊C4×C47—21no—
594C4⋊C4×C47C2411yescharacteristic
595C4⋊C4×C47C2411yescharacteristic
596C4⋊C4×C47C2411yescharacteristic
597C4⋊C4×C47C2411yescharacteristic
598C22⋊C4×C47—21no—
599C22⋊C4×C47—21no—
600C22⋊C4×C47—21no—
601C22⋊C4×C47—21no—
602C22⋊C4×C47—21no—
603C22⋊C4×C47—21no—
604C22⋊C4×C47—21no—
605C42×C47—21no—
606C42×C47—21no—
607C42×C47—21no—
608C42×C47C2×D411yescharacteristic
609C42×C47C2×D411yescharacteristic
610C42×C47C2411yescharacteristic
611C42×C47C2411yescharacteristic
612C22⋊Dic47—21no—
613C22⋊Dic47—21no—
614C22⋊Dic47—21no—
615C22⋊Dic47—21no—
616C22⋊Dic47—21no—
617C22⋊Dic47—21no—
618C22⋊Dic47—21no—
619C22⋊Dic47C2×D411yescharacteristic
620C22⋊Dic47C2×D411yescharacteristic
621#10625336—41no—
622#10625336—41no—
623#10625335—22no—
624#10625335—41no—
625#10625334—22no—
626#10625334—22no—
627#10625334—22no—
628#10625334—41no—
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)⋊C4C2×D411yescharacteristic
650(C2×D47)⋊C4C2×D411yescharacteristic
651(C2×D47)⋊C4C2×D411yescharacteristic
652(C2×D47)⋊C4C2×D411yescharacteristic
653C4⋊Dic47—21no—
654C4⋊Dic47—21no—
655C4⋊Dic47—21no—
656C4⋊Dic47C2×D411yescharacteristic
657C4⋊Dic47C2×D411yescharacteristic
658C4⋊Dic47C2411yescharacteristic
659C4⋊Dic47C2411yescharacteristic
660C4⋊Dic47C2411yescharacteristic
661C4⋊Dic47C2411yescharacteristic
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4—21no—
670Dic47⋊C4—21no—
671Dic47⋊C4—21no—
672Dic47⋊C4—21no—
673Dic47⋊C4—21no—
674Dic47⋊C4—21no—
675Dic47⋊C4—21no—
676Dic47⋊C4—21no—
677Dic47⋊C4—21no—
678Dic47⋊C4C2×D411yescharacteristic
679Dic47⋊C4C2×D411yescharacteristic
680Dic47⋊C4C2×D411yescharacteristic
681Dic47⋊C4C2×D411yescharacteristic
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47—21no—
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
695D376—22no—
696D376—41no—
697#10625325—22no—
698#10625325—41no—
699#10625324—22no—
700#10625324—41no—
701C8×D47—22no—
702C8×D47—41no—
703C23×C47—21no—
704C23×C47—21no—
705C23×C47—21no—
706C23×C47—42no—
707C23×C47—42no—
708C23×C47—81no—
709C23×C47C22×D411yescharacteristic
710C22×D47—21no—
711C22×D47—21no—
712C22×D47—21no—
713C22×D47—42no—
714C22×D47—42no—
715C22×D47—42no—
716C22×D47—42no—
717C22×D47—42no—
718C22×D47—42no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723C22×D47C22×D411yescharacteristic
724Q8×C47—21no—
725Q8×C47—21no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—42no—
731D4×C47—42no—
732D4×C47C2×#4112yes—
733D4×C47C2×#4112yescomplemented
734C2×C4×C47—22no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—41no—
743C2×C4×C47—42no—
744C2×C4×C47—42no—
745C2×C4×C47—42no—
746C2×C4×C47—42no—
747C2×C4×C47—42no—
748C2×C4×C47—42no—
749C2×C4×C47—42no—
750C2×C4×C47—81no—
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C22×D411yescharacteristic
755C2×C4×C47C22×D411yescharacteristic
756C2×C4×C47C2511yescharacteristic
757C22⋊D47—22no—
758C22⋊D47—22no—
759C22⋊D47—42no—
760C22⋊D47—42no—
761C22⋊D47—42no—
762C22⋊D47—42no—
763C22⋊D47—42no—
764C22⋊D47—42no—
765C22⋊D47—42no—
766C22⋊D47—42no—
767C22⋊D47—42no—
768C22⋊D47—42no—
769C22⋊D47—81no—
770C22⋊D47—81no—
771C22⋊D47—81no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—42no—
778C2×Dic47—42no—
779C2×Dic47—42no—
780C2×Dic47—42no—
781C2×Dic47—81no—
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786C2×Dic47C22×D411yescharacteristic
787C2×Dic47C22×D411yescharacteristic
788D188—22no—
789D188—21no—
790D188—21no—
791D188—21no—
792D188—21no—
793D188—21no—
794D188—21no—
795D188—42no—
796D188—42no—
797D188—42no—
798D188—81no—
799D188—81no—
800C4×D47—22no—
801C4×D47—21no—
802C4×D47—21no—
803C4×D47—21no—
804C4×D47—21no—
805C4×D47—41no—
806C4×D47—41no—
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×D47AGL(1,ℤ/8)14yescomplemented
817Dic94—22no—
818Dic94—21no—
819Dic94—21no—
820Dic94—42no—
821Dic94—42no—
822Dic94—42no—
823Dic94—81no—
824C8×C47—21no—
825C8×C47—21no—
826C8×C47—21no—
827C8×C47C2×#4112yescomplemented
828C47⋊C8—21no—
829C47⋊C8—21no—
830C47⋊C8—21no—
831C47⋊C8—21no—
832#61437—471nomaximal, Sylow
833C22×C47—21no—
834C22×C47—22no—
835C22×C47—22no—
836C22×C47—21no—
837C22×C47—21no—
838C22×C47—41no—
839C22×C47—41no—
840C22×C47—41no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47—84no—
846C22×C47C23×D411yescharacteristic
847C2×D47—21no—
848C2×D47—21no—
849C2×D47—21no—
850C2×D47—21no—
851C2×D47—21no—
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×D47C2×AGL(1,ℤ/8)12yes—
865C4×C47—21no—
866C4×C47—21no—
867C4×C47—21no—
868C4×C47—21no—
869C4×C47—41no—
870C4×C47—41no—
871C4×C47—41no—
872C4×C47—41no—
873C4×C47—41no—
874C4×C47C2×AGL(1,ℤ/8)12yes—
875C4×C47C22×#4111yescharacteristic
876C4×C47#58511yescharacteristic
877Dic47—21no—
878Dic47—21no—
879Dic47—21no—
880Dic47—21no—
881Dic47—21no—
882Dic47—41no—
883Dic47—41no—
884Dic47—41no—
885Dic47—41no—
886Dic47—41no—
887Dic47C2×AGL(1,ℤ/8)12yes—
888#3475—471no—
889D4×#41—471no—
890#3397—471no—
891#3384—471no—
892#3367—471no—
893#3366—471no—
894#3354—471no—
895#3343—471no—
896#3343—471no—
897#3330—471no—
898#3325—471no—
899#3310—471no—
900#3310—471no—
901#3306—471no—
902#3306—471no—
903#3272—471no—
904#3264—471no—
905#3264—471no—
906#3171—471no—
907#3171—471no—
908#3167—471no—
909#3106—471no—
910#3106—471no—
911#3105—471no—
912#3105—471no—
913#3101—471no—
914#3100—471no—
915#2965—471no—
916C4×AGL(1,ℤ/8)—471no—
917C4×AGL(1,ℤ/8)D4711yescharacteristic, complemented
918C2×C4×D8—471no—
919C2×C47—42no—
920C2×C47—42no—
921C2×C47—41no—
922C2×C47—81no—
923C2×C47D4×#4111yescharacteristic
924C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
925C2×C47#358411yescharacteristic
926D47—22no—
927D47—41no—
928D47—81no—
929D47—81no—
930D47—81no—
931C22×#41—941no—
932C2×AGL(1,ℤ/8)—471no—
933C2×AGL(1,ℤ/8)C2×D4711yescharacteristic
934C22×D8—471no—
935#556—471no—
936#555—471no—
937#554—471no—
938#553—941no—
939#552—471no—
940#552—471no—
941#552—941no—
942#551—941no—
943#551—941no—
944#550—471no—
945D4×Q8—471no—
946#548—941no—
947#547—471no—
948#547—471no—
949#547—471no—
950#547—471no—
951#546—471no—
952#546—471no—
953#546—941no—
954#546—941no—
955#546—941no—
956D42—471no—
957D42—471no—
958D42—471no—
959#533—471no—
960#532—471no—
961#532—471no—
962#532—471no—
963#529—471no—
964#529—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×#41C2×D4711yescharacteristic, complemented
974C2×C4×D4—471no—
975C2×C4×D4—471no—
976C2×C4×D4—471no—
977C2×C4×D4C2×D4711yescharacteristic, complemented
978C2×#117—941no—
979#501—471no—
980#501—471no—
981#498—471no—
982#496—471no—
983#496—471no—
984#492—471no—
985#490—471no—
986#490—471no—
987#489—471no—
988#489—471no—
989#487—471no—
990#486—471no—
991#484—471no—
992#484—471no—
993#483—471no—
994#483—471no—
995#482—471no—
996#482—471no—
997#482—471no—
998#482—471no—
999#481—471no—
1000#481—471no—
1001#480—471no—
1002#480—471no—
1003#478—471no—
1004#478—471no—
1005#478—471no—
1006#478—471no—
1007#477—471no—
1008#477—471no—
1009#476—471no—
1010#476—471no—
1011#476—471no—
1012#476—471no—
1013#474—471no—
1014#474—471no—
1015#469—471no—
1016#469—471no—
1017#469—471no—
1018#469—471no—
1019#468—471no—
1020#468—471no—
1021#468—471no—
1022#468—471no—
1023#465—471no—
1024#465—471no—
1025#465—471no—
1026#465—471no—
1027#463—471no—
1028#463—471no—
1029#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#442C2×D4711yescharacteristic
1056#442C2×D4711yescharacteristic, complemented
1057#440—471no—
1058#440—471no—
1059#440C2×D4711yescharacteristic, complemented
1060#440C2×D4711yescharacteristic, complemented
1061C4×SD16—471no—
1062C4×SD16—471no—
1063C4×SD16—471no—
1064C4×SD16—471no—
1065C4×SD16—471no—
1066C4×SD16—471no—
1067C4×SD16C2×D4711yescharacteristic, complemented
1068C4×SD16C2×D4711yescharacteristic, complemented
1069C4×D8—471no—
1070C4×D8—471no—
1071C4×D8—471no—
1072C4×D8—471no—
1073C4×D8—471no—
1074C4×D8—471no—
1075C4×D8—471no—
1076C4×D8—471no—
1077C4×D8—471no—
1078C4×D8—471no—
1079C4×D8C2×D4711yescharacteristic
1080C4×D8C2×D4711yescharacteristic, complemented
1081#436—471no—
1082#436—471no—
1083#435—471no—
1084#435—471no—
1085#435—471no—
1086#435—471no—
1087#431—471no—
1088#431—471no—
1089#431—471no—
1090#428—471no—
1091#428C2×D4711yescharacteristic, complemented
1092C2×#107—471no—
1093#418—471no—
1094#418C2×D4711yescharacteristic, complemented
1095#417—471no—
1096#417C2×D4711yescharacteristic, complemented
1097C2×#102—471no—
1098C2×#102—471no—
1099C4×M16—471no—
1100C4×M16C2×D4711yescharacteristic, complemented
1101C2×C4×C8—471no—
1102C47#6143711yescharacteristic, complemented, Sylow
1103C2×#41—471no—
1104C2×#41—471no—
1105C2×#41—941no—
1106C2×#41—941no—
1107C2×#41—941no—
1108C2×#41—941no—
1109C2×#41—941no—
1110C2×#41—941no—
1111C2×#41—941no—
1112C2×#41—1888no—
1113C2×#41C22×D4711yescharacteristic
1114C22×Q8—941no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—941no—
1119C22×D4—941no—
1120C22×D4—941no—
1121C22×D4C22×D4711yescharacteristic
1122C23×C4—21no—
1123C23×C4—941no—
1124C23×C4—941no—
1125C23×C4—941no—
1126AGL(1,ℤ/8)—24no—
1127AGL(1,ℤ/8)—944no—
1128C2×SD16—471no—
1129C2×SD16—471no—
1130C2×SD16—471no—
1131C2×SD16—471no—
1132C2×SD16—471no—
1133C2×SD16—471no—
1134C2×SD16C22×D4711yescharacteristic
1135C2×SD16C22×D4711yescharacteristic
1136C2×D8—471no—
1137C2×D8—471no—
1138C2×D8—471no—
1139C2×D8—471no—
1140C2×D8—471no—
1141C2×D8—471no—
1142C2×D8—944no—
1143C2×D8C22×D4711yescharacteristic
1144C2×D8C22×D4711yescharacteristic
1145C2×M16—471no—
1146C2×M16—471no—
1147C2×M16C22×D4711yescharacteristic
1148C2×M16C22×D4711yescharacteristic
1149C22×C8—471no—
1150C22×C8—471no—
1151C4⋊Q8—471no—
1152C4⋊Q8—471no—
1153C4⋊Q8—471no—
1154C4⋊Q8—471no—
1155C4⋊Q8—471no—
1156#127—471no—
1157#127—471no—
1158#127—471no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#126—941no—
1163#126—941no—
1164#126—941no—
1165#125—471no—
1166#125—471no—
1167#125—941no—
1168#125—941no—
1169#125—941no—
1170#124—471no—
1171#124—471no—
1172#124—941no—
1173#124—941no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#123—941no—
1178#123—941no—
1179#123—941no—
1180#123—941no—
1181#123—941no—
1182#123—941no—
1183#123—941no—
1184#123—941no—
1185#123—941no—
1186#123—941no—
1187#123—941no—
1188#123—941no—
1189#123—941no—
1190#123—941no—
1191C22⋊Q8—471no—
1192C22⋊Q8—471no—
1193C22⋊Q8—471no—
1194C22⋊Q8—471no—
1195C22⋊Q8—941no—
1196C22⋊Q8—941no—
1197C22⋊Q8—941no—
1198C22⋊Q8—941no—
1199C22⋊Q8—941no—
1200C22⋊Q8—941no—
1201C22⋊Q8—941no—
1202C22⋊Q8—941no—
1203C22⋊Q8—941no—
1204C22⋊Q8—941no—
1205C22⋊Q8—941no—
1206#121—471no—
1207#121—471no—
1208#121—471no—
1209#121—471no—
1210#121—471no—
1211#121—471no—
1212#121—471no—
1213#121—471no—
1214#121—941no—
1215#121—941no—
1216#121—941no—
1217#121—941no—
1218#121—941no—
1219#121—941no—
1220#121—941no—
1221#121—941no—
1222#121—941no—
1223#121—941no—
1224#121—941no—
1225#121—941no—
1226#121—941no—
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—941no—
1240C4×Q8C22×D4711yescharacteristic
1241C4×Q8C22×D4711yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
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×D4C22×D4711yescharacteristic
1276C4×D4C22×D4711yescharacteristic
1277C4×D4C22×D4711yescharacteristic
1278C4×D4C22×D4711yescharacteristic
1279C4×D4C22×D4711yescharacteristic
1280C4×D4C22×D4711yescharacteristic
1281#117—21no—
1282#117—471no—
1283#117—471no—
1284#117—471no—
1285#117—471no—
1286#117—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—471no—
1297C2×C4⋊C4—471no—
1298C2×C4⋊C4—941no—
1299C2×C4⋊C4—941no—
1300C2×C4⋊C4C22×D4711yescharacteristic
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—941no—
1303C2×C22⋊C4—941no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—21no—
1308C2×C42—471no—
1309C2×C42—471no—
1310C2×C42—941no—
1311C2×C42C22×D4711yescharacteristic
1312#107—471no—
1313#107—471no—
1314#107—471no—
1315#107—471no—
1316#107—471no—
1317#107—471no—
1318#107C22×D4711yescharacteristic
1319#107C22×D4711yescharacteristic
1320#106—471no—
1321#106—471no—
1322#106—471no—
1323#106—471no—
1324#106—471no—
1325#106—471no—
1326#106C22×D4711yescharacteristic
1327#106C22×D4711yescharacteristic
1328C4⋊C8—471no—
1329C4⋊C8—471no—
1330C4⋊C8—471no—
1331C4⋊C8—471no—
1332C4⋊C8—471no—
1333C4⋊C8—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103—471no—
1339#103—471no—
1340#103C22×D4711yescharacteristic
1341#103C22×D4711yescharacteristic
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102—471no—
1353#102—471no—
1354#102—471no—
1355#102—471no—
1356#102—471no—
1357#102—471no—
1358#102—471no—
1359#102—471no—
1360#102C22×D4711yescharacteristic
1361#102C22×D4711yescharacteristic
1362#102C22×D4711yescharacteristic
1363#102C22×D4711yescharacteristic
1364#102C22×D4711yescharacteristic
1365#102C22×D4711yescharacteristic
1366C22⋊C8—471no—
1367C22⋊C8—471no—
1368C22⋊C8—471no—
1369C22⋊C8—471no—
1370C22⋊C8—471no—
1371C22⋊C8—471no—
1372#97—471no—
1373#97—471no—
1374#97C22×D4711yescharacteristic
1375#97C22×D4711yescharacteristic
1376C4×C8—471no—
1377C4×C8—471no—
1378C4×C8—471no—
1379C4×C8—471no—
1380C4×C8C22×D4711yescharacteristic
1381C4×C8C22×D4711yescharacteristic
1382C24—21no—
1383C24—941no—
1384C24—941no—
1385C24—941no—
1386#41—22no—
1387#41—41no—
1388#41—944no—
1389#41—942no—
1390#41—1884no—
1391#41—1884no—
1392#41—1884no—
1393#41—1884no—
1394#41—1884no—
1395#41—1884no—
1396#41—1884no—
1397#41—1881no—
1398C2×Q8—471no—
1399C2×Q8—471no—
1400C2×Q8—941no—
1401C2×Q8—941no—
1402C2×Q8—941no—
1403C2×Q8—941no—
1404C2×Q8—1884no—
1405C2×Q8C23×D4711yescharacteristic
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—471no—
1411C2×D4—471no—
1412C2×D4—471no—
1413C2×D4—471no—
1414C2×D4—471no—
1415C2×D4—471no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—941no—
1425C2×D4—941no—
1426C2×D4—942no—
1427C2×D4—942no—
1428C2×D4—942no—
1429C2×D4—941no—
1430C2×D4—941no—
1431C2×D4—941no—
1432C2×D4—941no—
1433C2×D4—941no—
1434C2×D4—941no—
1435C2×D4—941no—
1436C2×D4—941no—
1437C2×D4—1884no—
1438C2×D4—1881no—
1439C2×D4—1881no—
1440C2×D4—1881no—
1441C2×D4—1884no—
1442C2×D4—1884no—
1443C2×D4C23×D4711yescharacteristic
1444C2×D4C23×D4711yescharacteristic
1445C2×D4C23×D4711yescharacteristic
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—44no—
1455C22×C4—471no—
1456C22×C4—471no—
1457C22×C4—471no—
1458C22×C4—471no—
1459C22×C4—471no—
1460C22×C4—471no—
1461C22×C4—941no—
1462C22×C4—941no—
1463C22×C4—941no—
1464C22×C4—941no—
1465C22×C4—941no—
1466C22×C4—941no—
1467C22×C4—941no—
1468C22×C4—941no—
1469C22×C4—941no—
1470C22×C4—941no—
1471C22×C4—941no—
1472C22×C4—941no—
1473C22×C4—941no—
1474C22×C4—941no—
1475C22×C4—1884no—
1476C22×C4—1884no—
1477C22×C4—1884no—
1478C22×C4D4×D4711yescharacteristic
1479C22×C4D4×D4711yescharacteristic
1480C22×C4C23×D4711yescharacteristic
1481SD16—22no—
1482SD16—22no—
1483SD16—942no—
1484SD16—942no—
1485SD16—1881no—
1486SD16—1881no—
1487SD16—1881no—
1488SD16—1881no—
1489D8—22no—
1490D8—942no—
1491D8—942no—
1492D8—942no—
1493D8—942no—
1494D8—1881no—
1495D8—1881no—
1496D8#1062535014yescomplemented
1497M16—22no—
1498M16—41no—
1499M16—942no—
1500M16—1881no—
1501C2×C8—471no—
1502C2×C8—471no—
1503C2×C8—471no—
1504C2×C8—471no—
1505C2×C8—942no—
1506C2×C8—1881no—
1507C2×C8C23×D4711yescharacteristic
1508C2×C8C23×D4711yescharacteristic
1509C2×C8C23×D4711yescharacteristic
1510C2×C8C23×D4711yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—471no—
1515C4⋊C4—471no—
1516C4⋊C4—471no—
1517C4⋊C4—471no—
1518C4⋊C4—471no—
1519C4⋊C4—471no—
1520C4⋊C4—471no—
1521C4⋊C4—471no—
1522C4⋊C4—471no—
1523C4⋊C4—471no—
1524C4⋊C4—941no—
1525C4⋊C4—941no—
1526C4⋊C4—941no—
1527C4⋊C4—941no—
1528C4⋊C4—941no—
1529C4⋊C4—941no—
1530C4⋊C4—941no—
1531C4⋊C4—941no—
1532C4⋊C4—941no—
1533C4⋊C4—941no—
1534C4⋊C4—941no—
1535C4⋊C4—941no—
1536C4⋊C4—941no—
1537C4⋊C4—941no—
1538C4⋊C4—941no—
1539C4⋊C4—941no—
1540C4⋊C4—941no—
1541C4⋊C4—941no—
1542C4⋊C4—941no—
1543C4⋊C4C23×D4711yescharacteristic
1544C4⋊C4C23×D4711yescharacteristic
1545C4⋊C4C23×D4711yescharacteristic
1546C4⋊C4C23×D4711yescharacteristic
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—471no—
1555C22⋊C4—471no—
1556C22⋊C4—471no—
1557C22⋊C4—471no—
1558C22⋊C4—471no—
1559C22⋊C4—471no—
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⋊C4—941no—
1586C22⋊C4—941no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—471no—
1591C42—471no—
1592C42—471no—
1593C42—471no—
1594C42—471no—
1595C42—471no—
1596C42—941no—
1597C42—941no—
1598C42—941no—
1599C42D4×D4711yescharacteristic
1600C42D4×D4711yescharacteristic
1601C42C23×D4711yescharacteristic
1602C42C23×D4711yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—81no—
1609C23—471no—
1610C23—471no—
1611C23—941no—
1612C23—941no—
1613C23—941no—
1614C23—3761no—
1615C23—3761no—
1616C23—3761no—
1617C23—1882no—
1618C23—1882no—
1619C23—1882no—
1620C23—1882no—
1621C23—1882no—
1622C23—1882no—
1623C23C2×D4×D4711yescharacteristic
1624Q8—21no—
1625Q8—21no—
1626Q8—942no—
1627Q8—941no—
1628Q8—941no—
1629Q8—3761no—
1630Q8—1882no—
1631Q8—1882no—
1632Q8—1882no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—42no—
1638D4—42no—
1639D4—942no—
1640D4—942no—
1641D4—942no—
1642D4—941no—
1643D4—941no—
1644D4—941no—
1645D4—941no—
1646D4—941no—
1647D4—941no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—1882no—
1654D4—1882no—
1655D4—1882no—
1656D4—1882no—
1657D4—1882no—
1658D4—1882no—
1659D4—1882no—
1660D4—1882no—
1661D4—1882no—
1662D4—1882no—
1663D4—1882no—
1664D4—1882no—
1665D4—1882no—
1666D4C2×#1062535012yes—
1667D4C2×#1062535012yescomplemented
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—81no—
1685C2×C4—471no—
1686C2×C4—474no—
1687C2×C4—471no—
1688C2×C4—471no—
1689C2×C4—471no—
1690C2×C4—471no—
1691C2×C4—471no—
1692C2×C4—942no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—3761no—
1703C2×C4—1881no—
1704C2×C4—1881no—
1705C2×C4—1882no—
1706C2×C4—1882no—
1707C2×C4—1882no—
1708C2×C4—1882no—
1709C2×C4—1882no—
1710C2×C4—1882no—
1711C2×C4—1882no—
1712C2×C4—1882no—
1713C2×C4—1882no—
1714C2×C4—1882no—
1715C2×C4—1882no—
1716C2×C4—1882no—
1717C2×C4—1882no—
1718C2×C4C2×D4×D4711yescharacteristic
1719C2×C4C2×D4×D4711yescharacteristic
1720C2×C4C2×D4×D4711yescharacteristic
1721C2×C4C2×D4×D4711yescharacteristic
1722C2×C4C2×D4×D4711yescharacteristic
1723C2×C4C24×D4711yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—941no—
1728C8—941no—
1729C8—941no—
1730C8—941no—
1731C8C2×#1062535012yescomplemented
1732C22—21no—
1733C22—21no—
1734C22—22no—
1735C22—22no—
1736C22—21no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—84no—
1745C22—472no—
1746C22—941no—
1747C22—941no—
1748C22—941no—
1749C22—941no—
1750C22—941no—
1751C22—3764no—
1752C22—3764no—
1753C22—3764no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22C22×D4×D4711yescharacteristic
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—472no—
1774C4—941no—
1775C4—941no—
1776C4—941no—
1777C4—941no—
1778C4—941no—
1779C4—1881no—
1780C4—1881no—
1781C4—1881no—
1782C4—1881no—
1783C4—1881no—
1784C4AGL(1,ℤ/8)×D4712yes—
1785C4C22×#1062535011yescharacteristic
1786C4#1568995911yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—42no—
1790C2—81no—
1791C2—942no—
1792C2—3761no—
1793C2—3761no—
1794C2—3761no—
1795C2—1881no—
1796C2D4×#1062535011yescharacteristic
1797C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
1798C2#2025816111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC4×AGL(1,ℤ/8)×C47C2
socleC22×C47C23×D4
hypercenterC4×AGL(1,ℤ/8)D47
hypocenterC47#61437
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #20256950C2semidirect
2. D4×#10625350C2semidirect
3. #20256409C2semidirect
4. #20256288C2semidirect
5. #20256107C2semidirect
6. #20256096C2semidirect
7. #20255979C2semidirect
8. #20255833C2semidirect
9. #20255829C2semidirect
10. #20255689C2semidirect
11. #20255626C2semidirect
12. #20255414C2semidirect
13. #20255410C2semidirect
14. #20255354C2semidirect
15. #20255350C2semidirect
16. #20254982C2semidirect
17. #20254870C2semidirect
18. #20254862C2semidirect
19. #20253983C2semidirect
20. #20253979C2semidirect
21. #20253944C2semidirect
22. #20253448C2semidirect
23. #20253444C2semidirect
24. #20253439C2semidirect
25. #20253435C2semidirect
26. #20253394C2semidirect
27. #20253386C2semidirect
28. #20252350C2semidirect
29. C4×#13094048C2semidirect
30. C4×D8×D47C2semidirect
31. C4×AGL(1,ℤ/8)×C47C2semidirect
35. #15689845C22semidirect
36. #15689836C22semidirect
37. #15689832C22semidirect
39. #15689814C22semidirect
40. #15689812C22semidirect
44. #15689794C22semidirect
45. D4×Dic94C22semidirect
49. #15689774C22semidirect
50. #15689772C22semidirect
52. #15689768C22semidirect
55. #15689761C22semidirect
58. D4×C22⋊D47C22semidirect
59. #15689677C22semidirect
60. #15689673C22semidirect
62. #15689670C22semidirect
63. #15689660C22semidirect
65. #15689657C22semidirect
72. C4×#10625352C22semidirect
74. C4×D4×D47C22semidirect
75. C4×D4×D47C22semidirect
77. #15689532C22semidirect
78. #15689530C22semidirect
79. #15689520C22semidirect
80. #15689512C22semidirect
81. #15689509C22semidirect
82. #15689494C22semidirect
83. #15689488C22semidirect
84. #15689486C22semidirect
85. #15689484C22semidirect
86. #15689483C22semidirect
87. #15689472C22semidirect
88. #15689468C22semidirect
89. #15689458C22semidirect
90. #15689457C22semidirect
91. #15689455C22semidirect
92. #15689452C22semidirect
93. #15689450C22semidirect
94. #15689447C22semidirect
95. #15689447C22semidirect
96. #15689446C22semidirect
97. #15689443C22semidirect
98. #15689441C22semidirect
99. #15689438C22semidirect
100. #15689435C22semidirect
101. #15689423C22semidirect
102. #15689423C22semidirect
103. #15689422C22semidirect
104. #15689421C22semidirect
105. #15689418C22semidirect
106. #15689417C22semidirect
107. #15689413C22semidirect
108. #15689412C22semidirect
109. #15689411C22semidirect
110. #15689411C22semidirect
111. #15689402C22semidirect
112. #15689401C22semidirect
113. #15689377C22semidirect
114. #15689376C22semidirect
115. #15689376C22semidirect
116. #15689375C22semidirect
117. #15689372C22semidirect
118. #15689369C22semidirect
119. #15689369C22semidirect
120. #15689366C22semidirect
121. #15689355C22semidirect
122. #15689353C22semidirect
123. #15689351C22semidirect
124. #15689349C22semidirect
125. #15689341C22semidirect
128. #15689338C22semidirect
129. #15689327C22semidirect
130. #15689326C22semidirect
131. #15689323C22semidirect
132. #15689322C22semidirect
133. #15689318C22semidirect
134. #15689317C22semidirect
135. #15689316C22semidirect
136. #15689316C22semidirect
138. #15689274C22semidirect
140. #15689272C22semidirect
141. #15689269C22semidirect
142. #15689268C22semidirect
143. #15689268C22semidirect
144. #15689265C22semidirect
146. #15689258C22semidirect
148. #15689255C22semidirect
149. #15689251C22semidirect
150. #15689251C22semidirect
152. #15689232C22semidirect
153. #15689222C22semidirect
154. #15689220C22semidirect
155. C4×#10625325C22semidirect
156. C4×#10625325C22semidirect
157. C4×#10625336C22semidirect
158. C4×#10625336C22semidirect
159. C4×#10625335C22semidirect
160. C4×#10625335C22semidirect
161. C4×D376C22semidirect
162. C4×D376C22semidirect
164. #15689205C22semidirect
166. C4×#10625334C22semidirect
167. C4×#10625334C22semidirect
168. C4×#10625334C22semidirect
170. #15689203C22semidirect
171. #15689199C22semidirect
172. #15689199C22semidirect
173. #15689196C22semidirect
174. #15689196C22semidirect
175. #15689192C22semidirect
176. #15689192C22semidirect
177. #15689176C22semidirect
178. #15689174C22semidirect
179. #15689174C22semidirect
180. #15689164C22semidirect
181. #107×D47C22semidirect
182. #15689126C22semidirect
183. #15689121C22semidirect
185. #102×D47C22semidirect
186. C4×#10625324C22semidirect
187. C4×C8×D47C22semidirect
189. C4×#41×C47C22semidirect
190. C2×C4×D4×C47C22semidirect
192. C47×#442C22semidirect
193. C47×#440C22semidirect
194. C47×#440C22semidirect
195. C4×SD16×C47C22semidirect
196. C4×SD16×C47C22semidirect
198. C4×D8×C47C22semidirect
199. C47×#428C22semidirect
200. C47×#418C22semidirect
201. C47×#417C22semidirect
202. C4×M16×C47C22semidirect
584. D8×C47#41semidirect
733. D4×C47C2×#41semidirect
816. C4×D47AGL(1,ℤ/8)semidirect
827. C8×C47C2×#41semidirect
917. C4×AGL(1,ℤ/8)D47semidirect
973. C4×#41C2×D47semidirect
977. C2×C4×D4C2×D47semidirect
1056. #442C2×D47semidirect
1059. #440C2×D47semidirect
1060. #440C2×D47semidirect
1067. C4×SD16C2×D47semidirect
1068. C4×SD16C2×D47semidirect
1080. C4×D8C2×D47semidirect
1091. #428C2×D47semidirect
1094. #418C2×D47semidirect
1096. #417C2×D47semidirect
1100. C4×M16C2×D47semidirect
1102. C47#61437semidirect
1496. D8#10625350semidirect
1667. D4C2×#10625350semidirect
1731. C8C2×#10625350semidirect

Maximal subgroups

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

subgroupindex
#202569502
D4×#106253502
#202564092
#202562882
#202561072
#202560962
#202559792
#202558332
#202558292
#202556892
#202556262
#202554142
#202554102
#202553542
#202553502
#202549822
#202548702
#202548622
#202539832
#202539792
#202539442
#202534482
#202534442
#202534392
#202534352
#202533942
#202533862
#202523502
C4×#130940482
C4×D8×D472
C4×AGL(1,ℤ/8)×C472
#6143747