Finite Group Databasebeta

← #27103302

Subgroups — #27103302

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257815C211yesmaximal, characteristic, complemented
2#20257150C211yesmaximal, characteristic, complemented
3#20255606C211yesmaximal, characteristic, complemented
4#20255591C211yesmaximal, characteristic, complemented
5#20255531C211yesmaximal, characteristic, complemented
6#20255486C211yesmaximal, characteristic, complemented
7#20255411C211yesmaximal, characteristic, complemented
8#20255366C211yesmaximal, characteristic, complemented
9#20255240C211yesmaximal, characteristic, complemented
10#20255225C211yesmaximal, characteristic, complemented
11#20255100C211yesmaximal, characteristic, complemented
12#20255075C211yesmaximal, characteristic, complemented
13#20255024C211yesmaximal, characteristic, complemented
14#20255000C211yesmaximal, characteristic, complemented
15#20254948C211yesmaximal, characteristic, complemented
16#20254918C211yesmaximal, characteristic, complemented
17#20254888C211yesmaximal, characteristic, complemented
18#20254873C211yesmaximal, characteristic, complemented
19#20254427C211yesmaximal, characteristic, complemented
20#20254366C211yesmaximal, characteristic, complemented
21#20254300C211yesmaximal, characteristic, complemented
22#20254290C211yesmaximal, characteristic, complemented
23#20254272C211yesmaximal, characteristic, complemented
24#20254242C211yesmaximal, characteristic, complemented
25#20253528C211yesmaximal, characteristic, complemented
26#20253437C211yesmaximal, characteristic, complemented
27#20252695C211yesmaximal, characteristic, complemented
28#20252695C211yesmaximal, characteristic, complemented
29#20252667C211yesmaximal, characteristic, complemented
30#20252658C211yesmaximal, characteristic, complemented
31C47×#2981C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#13094070C2211yescharacteristic, complemented
34C2×#13094057C2211yescharacteristic, complemented
35C2×#13094052C2211yescharacteristic, complemented
36C2×#13094052C2211yescharacteristic, complemented
37C2×#13094052C2211yescharacteristic, complemented
38C2×#13094046C2211yescharacteristic, complemented
39C2×#13094046C2211yescharacteristic, complemented
40C22×#10625325C2211yescharacteristic, complemented
41C22×D376C2211yescharacteristic, complemented
42#15689872—21no—
43#15689860—21no—
44#15689835—21no—
45#15689819C2211yescharacteristic, complemented
46#15689819C2211yescharacteristic, complemented
47#15689813C2211yescharacteristic, complemented
48#15689813C2211yescharacteristic, complemented
49#15689803—21no—
50#15689782C2211yescharacteristic, complemented
51#15689782C2211yescharacteristic, complemented
52#15689778C2211yescharacteristic
53#15689778C2211yescharacteristic, complemented
54#15689776—21no—
55#15689769C2211yescharacteristic
56#15689769C2211yescharacteristic
57#15689769C2211yescharacteristic, complemented
58#15689769C2211yescharacteristic, complemented
59#15689769C2211yescharacteristic, complemented
60#15689769C2211yescharacteristic, complemented
61#15689766—21no—
62#15689766—21no—
63D4×D188C2211yescharacteristic
64D4×D188C2211yescharacteristic, complemented
65#15689758—21no—
66#15689723—21no—
67#15689723—21no—
68#15689705—21no—
69#15689705—21no—
70#15689701C2211yescharacteristic
71#15689701C2211yescharacteristic, complemented
72#15689701C2211yescharacteristic, complemented
73#15689701C2211yescharacteristic, complemented
74#15689694C2211yescharacteristic, complemented
75#15689687C2211yescharacteristic, complemented
76#15689681—21no—
77#15689681—21no—
78#15689673C2211yescharacteristic, complemented
79#15689657C2211yescharacteristic, complemented
80#15689657C2211yescharacteristic, complemented
81#121×D47—21no—
82#121×D47—21no—
83C2×C4×D188C2211yescharacteristic, complemented
84#15689517C2211yescharacteristic, complemented
85#15689512C2211yescharacteristic, complemented
86#15689507C2211yescharacteristic, complemented
87#15689507C2211yescharacteristic, complemented
88#15689492C2211yescharacteristic, complemented
89#15689488C2211yescharacteristic, complemented
90#15689478C2211yescharacteristic, complemented
91#15689478C2211yescharacteristic, complemented
92#15689465C2211yescharacteristic, complemented
93#15689465C2211yescharacteristic, complemented
94#15689459C2211yescharacteristic, complemented
95#15689459C2211yescharacteristic, complemented
96#15689454C2211yescharacteristic, complemented
97#15689454C2211yescharacteristic, complemented
98#15689448C2211yescharacteristic, complemented
99#15689448C2211yescharacteristic, complemented
100#15689442C2211yescharacteristic, complemented
101#15689442C2211yescharacteristic, complemented
102#15689437C2211yescharacteristic, complemented
103#15689437C2211yescharacteristic, complemented
104#15689424C2211yescharacteristic, complemented
105#15689424C2211yescharacteristic, complemented
106#15689424C2211yescharacteristic, complemented
107#15689424C2211yescharacteristic, complemented
108#15689381C2211yescharacteristic, complemented
109#15689381C2211yescharacteristic, complemented
110#15689376C2211yescharacteristic, complemented
111#15689376C2211yescharacteristic, complemented
112#15689369C2211yescharacteristic, complemented
113#15689369C2211yescharacteristic, complemented
114#15689369C2211yescharacteristic, complemented
115#15689369C2211yescharacteristic, complemented
116#15689364C2211yescharacteristic, complemented
117#15689364C2211yescharacteristic, complemented
118#15689359C2211yescharacteristic, complemented
119#15689359C2211yescharacteristic, complemented
120#15689352C2211yescharacteristic, complemented
121#15689352C2211yescharacteristic, complemented
122#15689352C2211yescharacteristic, complemented
123#15689352C2211yescharacteristic, complemented
124#15689346C2211yescharacteristic, complemented
125#15689346C2211yescharacteristic, complemented
126#15689339C2211yescharacteristic, complemented
127#15689339C2211yescharacteristic, complemented
128#15689339C2211yescharacteristic, complemented
129#15689339C2211yescharacteristic, complemented
130#15689339C2211yescharacteristic, complemented
131#15689339C2211yescharacteristic, complemented
132#15689334C2211yescharacteristic, complemented
133#15689329C2211yescharacteristic, complemented
134#15689324C2211yescharacteristic, complemented
135#15689319C2211yescharacteristic, complemented
136#15689287C2211yescharacteristic, complemented
137#15689287C2211yescharacteristic, complemented
138#15689287C2211yescharacteristic, complemented
139#15689287C2211yescharacteristic, complemented
140#15689287C2211yescharacteristic, complemented
141#15689287C2211yescharacteristic, complemented
142#15689287C2211yescharacteristic, complemented
143#15689287C2211yescharacteristic, complemented
144#15689287C2211yescharacteristic, complemented
145#15689287C2211yescharacteristic, complemented
146#15689281C2211yescharacteristic, complemented
147#15689276C2211yescharacteristic, complemented
148#15689276C2211yescharacteristic, complemented
149#15689276C2211yescharacteristic, complemented
150#15689276C2211yescharacteristic, complemented
151#15689276C2211yescharacteristic, complemented
152#15689276C2211yescharacteristic, complemented
153#15689276C2211yescharacteristic, complemented
154#15689270C2211yescharacteristic, complemented
155#15689270C2211yescharacteristic, complemented
156#15689270C2211yescharacteristic, complemented
157#15689270C2211yescharacteristic, complemented
158#15689270C2211yescharacteristic, complemented
159#15689270C2211yescharacteristic, complemented
160#15689270C2211yescharacteristic, complemented
161#15689270C2211yescharacteristic, complemented
162#15689270C2211yescharacteristic, complemented
163#15689270C2211yescharacteristic, complemented
164#15689264C2211yescharacteristic, complemented
165#15689259C2211yescharacteristic
166#15689259C2211yescharacteristic
167#15689259C2211yescharacteristic, complemented
168#15689259C2211yescharacteristic, complemented
169#15689259C2211yescharacteristic, complemented
170#15689259C2211yescharacteristic, complemented
171#15689259C2211yescharacteristic, complemented
172#15689236C2211yescharacteristic, complemented
173#15689236C2211yescharacteristic, complemented
174#15689225C2211yescharacteristic, complemented
175#15689225C2211yescharacteristic, complemented
176C4×#10625325C2211yescharacteristic, complemented
177C4×#10625325C2211yescharacteristic, complemented
178C4×D376C2211yescharacteristic, complemented
179C4×D376C2211yescharacteristic, complemented
180#15689129C2211yescharacteristic, complemented
181#15689129C2211yescharacteristic, complemented
182#15689125C2211yescharacteristic, complemented
183#15689125C2211yescharacteristic, complemented
184#15689120C2211yescharacteristic, complemented
185#15689120C2211yescharacteristic, complemented
186C2×#13093946C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic, complemented
188C47×#532C2211yescharacteristic
189C47×#436C2211yescharacteristic, complemented
190C47×#436C2211yescharacteristic, complemented
191C47×#435C2211yescharacteristic, complemented
192C47×#435C2211yescharacteristic, complemented
193C47×#435C2211yescharacteristic, complemented
194C47×#435C2211yescharacteristic, complemented
195C8×D4×C47C2211yescharacteristic, complemented
196C8×D4×C47C2211yescharacteristic, complemented
197C47×#432C2211yescharacteristic, complemented
198C47×#431C2211yescharacteristic, complemented
199C47×#408C2211yescharacteristic, complemented
200C47×#408C2211yescharacteristic, complemented
201C47×#408C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205#13094070—42no—
206#13094070—42no—
207C2×#10625354—21no—
208C2×#10625354—21no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625350C2311yescharacteristic
217C22×Dic94C2311yescharacteristic
218C22×D188C2311yescharacteristic
219C22×D188C2311yescharacteristic
220C22×D188C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C22×D188C2311yescharacteristic
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47—21no—
230C2×D4×D47—21no—
231C2×D4×D47—21no—
232C22×C4×D47—21no—
233#13094057—42no—
234#13094052—42no—
235#13094052—42no—
236#13094052—42no—
237#13094046—42no—
238#13094046—42no—
239C2×Dic188C2311yescharacteristic
240C2×Dic188C2311yescharacteristic
241C2×Dic188C2311yescharacteristic
242C2×Dic188C2311yescharacteristic
243C2×#10625325—42no—
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625325C2311yescharacteristic
249C2×#10625325C2311yescharacteristic
250C2×#10625325C2311yescharacteristic
251C2×#10625325C2311yescharacteristic
252C2×#10625325C2311yescharacteristic
253C2×#10625325C2311yescharacteristic
254C2×#10625325C2311yescharacteristic
255C2×#10625325C2311yescharacteristic
256C2×D376—42no—
257C2×D376C2311yescharacteristic
258C2×D376C2311yescharacteristic
259C2×D376C2311yescharacteristic
260C2×D376C2311yescharacteristic
261C2×D376C2311yescharacteristic
262C2×D376C2311yescharacteristic
263C2×D376C2311yescharacteristic
264C2×D376C2311yescharacteristic
265#13094024C2311yescharacteristic
266#13094022—21no—
267#13094021C2311yescharacteristic
268#13094020—21no—
269#13094019—21no—
270#13094019—21no—
271#13094018—21no—
272#13094018—21no—
273#13094017—21no—
274#13094017—21no—
275#13094016C2311yescharacteristic
276#13094016C2311yescharacteristic
277#13094014—21no—
278#13094014—21no—
279#13094013—21no—
280#13094012C2311yescharacteristic
281#13094012C2311yescharacteristic
282#13094012C2311yescharacteristic
283#13094012C2311yescharacteristic
284#13094011—21no—
285#13094010—21no—
286#13094010—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094007—21no—
294#13094007—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094005—21no—
302#13094005—21no—
303#13094005—21no—
304#13094005—21no—
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094003C2311yescharacteristic
308#13094003C2311yescharacteristic
309#13094003C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094003C2311yescharacteristic
312#13094003C2311yescharacteristic
313#13094003C2311yescharacteristic
314#13094003C2311yescharacteristic
315#13094002—21no—
316#13094002—21no—
317#13094000—21no—
318#13094000—21no—
319#13094000—21no—
320#13094000—21no—
321#13093999—21no—
322#13093999—21no—
323#13093998—21no—
324#13093998—21no—
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093998C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093998C2311yescharacteristic
332#13093998C2311yescharacteristic
333#13093998C2311yescharacteristic
334#13093998C2311yescharacteristic
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996—21no—
345#13093996—21no—
346#13093996—21no—
347#13093996—21no—
348#13093996—21no—
349#13093996—21no—
350#13093996—21no—
351#13093996—21no—
352#13093996—21no—
353#13093995—21no—
354#13093995—21no—
355#13093995—21no—
356#13093995—21no—
357#13093995—21no—
358#13093995—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093994—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992—21no—
370#13093992—21no—
371C4×Dic94C2311yescharacteristic
372C4×Dic94C2311yescharacteristic
373C4×D188—21no—
374C4×D188—21no—
375C4×D188—21no—
376C4×D188—21no—
377C4×D188C2311yescharacteristic
378C4×D188C2311yescharacteristic
379C4×D188C2311yescharacteristic
380C4×D188C2311yescharacteristic
381C4×D188C2311yescharacteristic
382C4×D188C2311yescharacteristic
383C4×C22⋊D47—21no—
384C4×C22⋊D47—21no—
385(C22⋊D47)⋊C4—21no—
386(C22⋊D47)⋊C4—21no—
387(C22⋊D47)⋊C4—21no—
388(C22⋊D47)⋊C4—21no—
389#13093983C2311yescharacteristic
390#13093983C2311yescharacteristic
391#13093981—21no—
392#13093981—21no—
393#13093980—21no—
394#13093980—21no—
395C2×C4⋊Dic47C2311yescharacteristic
396C2×C4⋊Dic47C2311yescharacteristic
397C2×C4⋊Dic47C2311yescharacteristic
398C4⋊C4×D47—21no—
399C4⋊C4×D47—21no—
400C2×(C2×D47)⋊C4—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404C22⋊C4×D47—21no—
405C22⋊C4×D47—21no—
406C22⋊C4×D47—21no—
407#13093958C2311yescharacteristic
408#13093958C2311yescharacteristic
409#13093958C2311yescharacteristic
410#13093958C2311yescharacteristic
411#13093956C2311yescharacteristic
412#13093956C2311yescharacteristic
413#13093956C2311yescharacteristic
414#13093956C2311yescharacteristic
415#13093949C2311yescharacteristic
416#13093949C2311yescharacteristic
417#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093949C2311yescharacteristic
420#13093949C2311yescharacteristic
421#13093949C2311yescharacteristic
422#13093949C2311yescharacteristic
423#13093949C2311yescharacteristic
424#13093949C2311yescharacteristic
425#13093949C2311yescharacteristic
426#13093949C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093946C2311yescharacteristic
430#13093946C2311yescharacteristic
431#13093946C2311yescharacteristic
432#13093946C2311yescharacteristic
433#13093946C2311yescharacteristic
434#13093946C2311yescharacteristic
435#13093946C2311yescharacteristic
436#13093946C2311yescharacteristic
437#13093946C2311yescharacteristic
438#13093946C2311yescharacteristic
439#13093946C2311yescharacteristic
440#13093946C2311yescharacteristic
441#13093946C2311yescharacteristic
442#13093946C2311yescharacteristic
443#13093946C2311yescharacteristic
444#13093946C2311yescharacteristic
445#13093946C2311yescharacteristic
446#13093946C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×M16×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451C2×M16×C47C2311yescharacteristic
452C2×M16×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457C4⋊Q8×C47D411yescharacteristic
458#127×C47D411yescharacteristic
459#124×C47D411yescharacteristic
460#124×C47D411yescharacteristic
461#121×C47D411yescharacteristic
462#121×C47D411yescharacteristic
463#121×C47D411yescharacteristic
464#121×C47D411yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469C2×C42×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483C22⋊C8×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487#97×C47C2311yescharacteristic
488C4×C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496#41×C47—41no—
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500C2×Q8×C47C2×D411yescharacteristic
501C2×Q8×C47C2×D411yescharacteristic
502C2×D4×C47C2×D411yescharacteristic
503C2×D4×C47C2×D411yescharacteristic
504C2×D4×C47C2×D411yescharacteristic
505C2×D4×C47C2×D411yescharacteristic
506C2×D4×C47C2×D411yescharacteristic
507C2×D4×C47C2×D411yescharacteristic
508C2×D4×C47C2×D411yescharacteristic
509C2×D4×C47C2×D411yescharacteristic
510C2×D4×C47C2×D411yescharacteristic
511C2×D4×C47C2×D411yescharacteristic
512C22×C4×C47C2×D411yescharacteristic
513C22×C4×C47C2×D411yescharacteristic
514C22×C4×C47C2411yescharacteristic
515C22×C4×C47C2411yescharacteristic
516C22×C4×C47C2411yescharacteristic
517C22×C4×C47C2411yescharacteristic
518C22×C4×C47C2411yescharacteristic
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541#10625354—44no—
542#10625354—44no—
543D4×D47—44no—
544D4×D47—44no—
545D4×D47—44no—
546D4×D47—44no—
547D4×D47—44no—
548D4×D47—44no—
549D4×D47—82no—
550D4×D47—82no—
551#10625350—22no—
552#10625350—22no—
553#10625350—22no—
554#10625350—22no—
555#10625350—41no—
556#10625350—41no—
557#10625350—41no—
558#10625350—41no—
559#10625350—41no—
560#10625350—41no—
561#10625350—41no—
562#10625350—41no—
563#10625350—41no—
564#10625350—41no—
565#10625350—41no—
566#10625350—41no—
567C2×D188—21no—
568C2×D188—22no—
569C2×D188—22no—
570C2×D188—22no—
571C2×D188—22no—
572C2×D188—22no—
573C2×D188—22no—
574C2×D188—21no—
575C2×D188—21no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—41no—
582C2×D188—41no—
583C2×D188—41no—
584C2×D188—41no—
585C2×D188—41no—
586C2×D188—41no—
587C2×D188C2411yescharacteristic
588C2×D188C2411yescharacteristic
589C2×D188C2411yescharacteristic
590C2×D188C2411yescharacteristic
591C2×D188C2411yescharacteristic
592C2×D188C2411yescharacteristic
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—21no—
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—82no—
608C2×Dic94—21no—
609C2×Dic94—41no—
610C2×Dic94—41no—
611C2×Dic94C2411yescharacteristic
612C2×Dic94C2411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615M16×C47—41no—
616M16×C47—41no—
617M16×C47—41no—
618M16×C47—41no—
619C2×C8×C47—41no—
620C2×C8×C47—41no—
621C2×C8×C47—41no—
622C2×C8×C47—41no—
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C2×C8×C47C2411yescharacteristic
628C2×C8×C47C2411yescharacteristic
629C2×C8×C47C2411yescharacteristic
630C2×C8×C47C2411yescharacteristic
631C4⋊C4×C47C2×D411yescharacteristic
632C4⋊C4×C47C2×D411yescharacteristic
633C4⋊C4×C47C2×D411yescharacteristic
634C4⋊C4×C47C2×D411yescharacteristic
635C22⋊C4×C47C2×D411yescharacteristic
636C22⋊C4×C47C2×D411yescharacteristic
637C22⋊C4×C47C2×D411yescharacteristic
638C22⋊C4×C47C2×D411yescharacteristic
639C22⋊C4×C47C2×D411yescharacteristic
640C22⋊C4×C47C2×D411yescharacteristic
641C22⋊C4×C47C2×D411yescharacteristic
642C22⋊C4×C47C2×D411yescharacteristic
643C42×C47C2×D411yescharacteristic
644C42×C47C2×D411yescharacteristic
645C42×C47C2411yescharacteristic
646C42×C47C2411yescharacteristic
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659(C2×D47)⋊C4—21no—
660(C2×D47)⋊C4—21no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683C4⋊Dic47—21no—
684C4⋊Dic47—21no—
685C4⋊Dic47—21no—
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47C2411yescharacteristic
689C4⋊Dic47C2411yescharacteristic
690C4⋊Dic47C2411yescharacteristic
691C4⋊Dic47C2411yescharacteristic
692C4⋊Dic47C2411yescharacteristic
693C4⋊Dic47C2411yescharacteristic
694Dic47⋊C4—21no—
695Dic47⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710C4×Dic47—21no—
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714Dic188—41no—
715Dic188—41no—
716Dic188—41no—
717Dic188—41no—
718D376—22no—
719D376—22no—
720D376—22no—
721D376—22no—
722D376—41no—
723D376—41no—
724D376—41no—
725D376—41no—
726#10625325—22no—
727#10625325—22no—
728#10625325—22no—
729#10625325—22no—
730#10625325—41no—
731#10625325—41no—
732#10625325—41no—
733#10625325—41no—
734#10625325—41no—
735#10625325—41no—
736#10625325—41no—
737#10625325—41no—
738C23×C47C22×D411yescharacteristic
739C23×C47C22×D411yescharacteristic
740C23×C47C22×D411yescharacteristic
741C23×C47C22×D411yescharacteristic
742C23×C47C22×D411yescharacteristic
743C22×D47—21no—
744C22×D47—21no—
745C22×D47—24no—
746C22×D47—21no—
747C22×D47—21no—
748C22×D47—21no—
749C22×D47—21no—
750C22×D47—42no—
751C22×D47—42no—
752C22×D47—42no—
753C22×D47—42no—
754C22×D47—81no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767Q8×C47—41no—
768Q8×C47—41no—
769D4×C47—41no—
770D4×C47—41no—
771D4×C47—41no—
772D4×C47—41no—
773D4×C47—41no—
774D4×C47—41no—
775D4×C47—41no—
776D4×C47—41no—
777D4×C47—41no—
778D4×C47—41no—
779C2×C4×C47—21no—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—41no—
790C2×C4×C47—41no—
791C2×C4×C47C22×D411yescharacteristic
792C2×C4×C47C22×D411yescharacteristic
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C2511yescharacteristic
801C22⋊D47—42no—
802C22⋊D47—42no—
803C22⋊D47—42no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—81no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—21no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—81no—
830C2×Dic47—81no—
831C2×Dic47—81no—
832C2×Dic47—81no—
833D188—24no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—21no—
839D188—21no—
840D188—21no—
841D188—21no—
842D188—21no—
843D188—21no—
844D188—42no—
845D188—42no—
846D188—42no—
847D188—42no—
848D188—42no—
849D188—81no—
850D188—81no—
851D188H(5,𝔽2)12yes—
852D188H(5,𝔽2)12yes—
853C4×D47—42no—
854C4×D47—42no—
855C4×D47—42no—
856C4×D47—42no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—81no—
862C4×D47—81no—
863C4×D47—81no—
864C4×D47—81no—
865C4×D47—81no—
866C4×D47—81no—
867Dic94—21no—
868Dic94—21no—
869Dic94—21no—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—21no—
875Dic94—81no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C8×C47—21no—
881C8×C47—21no—
882C8×C47—21no—
883C8×C47—21no—
884#61678—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—21no—
893C22×C47—21no—
894C22×C47—21no—
895C22×C47—21no—
896C22×C47—21no—
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47C23×D411yescharacteristic
901C2×D47—22no—
902C2×D47—22no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—84no—
920C2×D47—162no—
921C2×D47—162no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—21no—
929C4×C47—21no—
930C4×C47—21no—
931C4×C47—21no—
932C4×C47—21no—
933C4×C47—21no—
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935C4×C47C2×H(5,𝔽2)11yescharacteristic
936Dic47—41no—
937Dic47—41no—
938Dic47—41no—
939Dic47—41no—
940Dic47—41no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3551—471no—
947#3496—471no—
948#3323—471no—
949#3322—471no—
950#3318—471no—
951#3315—471no—
952#3310—471no—
953#3307—471no—
954#3297—471no—
955#3296—471no—
956#3282—471no—
957#3280—471no—
958#3275—471no—
959#3273—471no—
960#3269—471no—
961#3267—471no—
962#3265—471no—
963#3264—471no—
964#3219—471no—
965#3212—471no—
966#3204—471no—
967#3203—471no—
968#3201—471no—
969#3198—471no—
970#3114—471no—
971#3105—471no—
972#3012—471no—
973#3012—471no—
974#3009—471no—
975#3008—471no—
976#2981D4711yescharacteristic, complemented
977C2×C47—41no—
978C2×C47—41no—
979C2×C47—41no—
980C2×C47—41no—
981C2×C47—41no—
982C2×C47#348411yescharacteristic
983C2×C47#358411yescharacteristic
984C2×C47#358511yescharacteristic
985D47—42no—
986D47—42no—
987D47—81no—
988D47—81no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C2×H(5,𝔽2)—471no—
993C2×#137—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C22×SD16—471no—
1000C22×D8—471no—
1001#563—941no—
1002#560—941no—
1003#555—941no—
1004#553—471no—
1005#553—471no—
1006#552—471no—
1007#552—471no—
1008#551—941no—
1009#548—471no—
1010#548—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#546—471no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—941no—
1021#546—941no—
1022D42—471no—
1023D42—471no—
1024D42—941no—
1025#540—941no—
1026#540—941no—
1027#538—941no—
1028#538—941no—
1029#537—471no—
1030#537—471no—
1031#537—471no—
1032#537—471no—
1033#536—471no—
1034#535—471no—
1035#534—941no—
1036#534—941no—
1037#532—471no—
1038#532C2×D4711yescharacteristic
1039#529—471no—
1040#529—471no—
1041C2×#121—941no—
1042C2×#121—941no—
1043C2×C4×D4—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#495—471no—
1048#491—471no—
1049#490—471no—
1050#488—471no—
1051#488—471no—
1052#485—471no—
1053#485—471no—
1054#484—471no—
1055#484—471no—
1056#483—471no—
1057#483—471no—
1058#482—471no—
1059#482—471no—
1060#481—471no—
1061#481—471no—
1062#480—471no—
1063#480—471no—
1064#478—471no—
1065#478—471no—
1066#478—471no—
1067#478—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#469—471no—
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468—471no—
1076#467—471no—
1077#467—471no—
1078#466—471no—
1079#466—471no—
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465—471no—
1084#464—471no—
1085#464—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463—471no—
1090#463—471no—
1091#463—471no—
1092#462—471no—
1093#461—471no—
1094#460—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#452—471no—
1104#452—471no—
1105#452—471no—
1106#451—471no—
1107#450—471no—
1108#450—471no—
1109#450—471no—
1110#450—471no—
1111#450—471no—
1112#450—471no—
1113#450—471no—
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#448—471no—
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447—471no—
1132#442—471no—
1133#442—471no—
1134#440—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×SD16—471no—
1138C4×D8—471no—
1139C4×D8—471no—
1140#436C2×D4711yescharacteristic, complemented
1141#436C2×D4711yescharacteristic, complemented
1142#435C2×D4711yescharacteristic, complemented
1143#435C2×D4711yescharacteristic, complemented
1144#435C2×D4711yescharacteristic, complemented
1145#435C2×D4711yescharacteristic, complemented
1146C8×D4C2×D4711yescharacteristic, complemented
1147C8×D4C2×D4711yescharacteristic, complemented
1148#432C2×D4711yescharacteristic, complemented
1149#431C2×D4711yescharacteristic, complemented
1150#418—471no—
1151#418—471no—
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416—471no—
1156C2×#102—471no—
1157C2×#102—471no—
1158#408C2×D4711yescharacteristic, complemented
1159#408C2×D4711yescharacteristic, complemented
1160#408C2×D4711yescharacteristic, complemented
1161#408C2×D4711yescharacteristic, complemented
1162C47#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165H(5,𝔽2)—1882no—
1166H(5,𝔽2)—1882no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—471no—
1175C2×#41—941no—
1176C2×#41—941no—
1177C2×#41C22×D4711yescharacteristic
1178C2×#41C22×D4711yescharacteristic
1179C22×Q8—471no—
1180C22×D4—471no—
1181C22×D4—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4—941no—
1193C22×D4—941no—
1194C23×C4—941no—
1195#137—1882no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201C2×Q16—471no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16—471no—
1214C2×SD16—471no—
1215C2×SD16—471no—
1216C2×SD16—471no—
1217C2×SD16—1882no—
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—471no—
1225C2×D8—471no—
1226C2×D8—1882no—
1227C2×M16C22×D4711yescharacteristic
1228C2×M16C22×D4711yescharacteristic
1229C2×M16C22×D4711yescharacteristic
1230C2×M16C22×D4711yescharacteristic
1231C22×C8C22×D4711yescharacteristic
1232C22×C8C22×D4711yescharacteristic
1233C22×C8C22×D4711yescharacteristic
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—471no—
1236C4⋊Q8—941no—
1237C4⋊Q8D18811yescharacteristic
1238#127—471no—
1239#127—941no—
1240#127D18811yescharacteristic
1241#126—941no—
1242#126—941no—
1243#126—941no—
1244#126—941no—
1245#126—941no—
1246#126—941no—
1247#125—471no—
1248#125—471no—
1249#125—941no—
1250#125—941no—
1251#124—471no—
1252#124—471no—
1253#124—471no—
1254#124—471no—
1255#124—941no—
1256#124—941no—
1257#124—941no—
1258#124—941no—
1259#124D18811yescharacteristic
1260#124D18811yescharacteristic
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—471no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8—941no—
1292C22⋊Q8—941no—
1293C22⋊Q8—941no—
1294C22⋊Q8—941no—
1295#121—471no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121D18811yescharacteristic
1334#121D18811yescharacteristic
1335#121D18811yescharacteristic
1336#121D18811yescharacteristic
1337#120—941no—
1338#120—941no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×Q8—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—941no—
1358C4×D4—941no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4—941no—
1367C4×D4C22×D4711yescharacteristic
1368C4×D4C22×D4711yescharacteristic
1369C4×D4C22×D4711yescharacteristic
1370C4×D4C22×D4711yescharacteristic
1371#117—471no—
1372#117—471no—
1373#117—941no—
1374#117—941no—
1375#117—941no—
1376#117—941no—
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—471no—
1379C2×C4⋊C4—471no—
1380C2×C4⋊C4—941no—
1381C2×C4⋊C4—941no—
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C42C22×D4711yescharacteristic
1390#107—471no—
1391#107—471no—
1392#107—471no—
1393#107—471no—
1394#106—471no—
1395#106—471no—
1396#106—471no—
1397#106—471no—
1398C4⋊C8C22×D4711yescharacteristic
1399C4⋊C8C22×D4711yescharacteristic
1400C4⋊C8C22×D4711yescharacteristic
1401C4⋊C8C22×D4711yescharacteristic
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103—471no—
1413#103—471no—
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425#102—471no—
1426#102—471no—
1427#102—471no—
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434C22⋊C8C22×D4711yescharacteristic
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437C22⋊C8C22×D4711yescharacteristic
1438C22⋊C8C22×D4711yescharacteristic
1439C22⋊C8C22×D4711yescharacteristic
1440C22⋊C8C22×D4711yescharacteristic
1441C22⋊C8C22×D4711yescharacteristic
1442C22⋊C8C22×D4711yescharacteristic
1443C22⋊C8C22×D4711yescharacteristic
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97C22×D4711yescharacteristic
1447#97C22×D4711yescharacteristic
1448C4×C8C22×D4711yescharacteristic
1449C4×C8C22×D4711yescharacteristic
1450C24—941no—
1451C24—941no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—942no—
1461#41—942no—
1462#41—942no—
1463#41—942no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1881no—
1471#41—1881no—
1472#41—1881no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1884no—
1477#41—1884no—
1478C2×Q8—471no—
1479C2×Q8—471no—
1480C2×Q8—471no—
1481C2×Q8—471no—
1482C2×Q8—941no—
1483C2×Q8—1881no—
1484C2×Q8—1881no—
1485C2×Q8C2×D18811yescharacteristic
1486C2×Q8C2×D18811yescharacteristic
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—471no—
1490C2×D4—471no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—942no—
1494C2×D4—942no—
1495C2×D4—942no—
1496C2×D4—942no—
1497C2×D4—942no—
1498C2×D4—942no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—3762no—
1526C2×D4—3762no—
1527C2×D4—1881no—
1528C2×D4—1881no—
1529C2×D4—1881no—
1530C2×D4—1881no—
1531C2×D4—1881no—
1532C2×D4—1881no—
1533C2×D4—1884no—
1534C2×D4—1884no—
1535C2×D4—1884no—
1536C2×D4—1884no—
1537C2×D4—1884no—
1538C2×D4—1884no—
1539C2×D4C2×D18811yescharacteristic
1540C2×D4C2×D18811yescharacteristic
1541C2×D4C2×D18811yescharacteristic
1542C2×D4C2×D18811yescharacteristic
1543C2×D4C2×D18811yescharacteristic
1544C2×D4C2×D18811yescharacteristic
1545C2×D4C2×D18811yescharacteristic
1546C2×D4C2×D18811yescharacteristic
1547C2×D4C2×D18811yescharacteristic
1548C2×D4C2×D18811yescharacteristic
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—941no—
1556C22×C4—941no—
1557C22×C4—941no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—3762no—
1568C22×C4C2×D18811yescharacteristic
1569C22×C4C2×D18811yescharacteristic
1570C22×C4C23×D4711yescharacteristic
1571C22×C4C23×D4711yescharacteristic
1572C22×C4C23×D4711yescharacteristic
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578Q16—1881no—
1579SD16—942no—
1580SD16—942no—
1581SD16—942no—
1582SD16—942no—
1583SD16—1881no—
1584SD16—1881no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590SD16—1881no—
1591D8—942no—
1592D8—942no—
1593D8—942no—
1594D8—942no—
1595D8—1881no—
1596D8—1881no—
1597D8—1881no—
1598D8—1881no—
1599M16—41no—
1600M16—41no—
1601M16—41no—
1602M16—41no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8C23×D4711yescharacteristic
1608C2×C8C23×D4711yescharacteristic
1609C2×C8C23×D4711yescharacteristic
1610C2×C8C23×D4711yescharacteristic
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—471no—
1616C4⋊C4—471no—
1617C4⋊C4—471no—
1618C4⋊C4—471no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4—941no—
1642C4⋊C4C2×D18811yescharacteristic
1643C4⋊C4C2×D18811yescharacteristic
1644C4⋊C4C2×D18811yescharacteristic
1645C4⋊C4C2×D18811yescharacteristic
1646C22⋊C4—941no—
1647C22⋊C4—941no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4C2×D18811yescharacteristic
1683C22⋊C4C2×D18811yescharacteristic
1684C22⋊C4C2×D18811yescharacteristic
1685C22⋊C4C2×D18811yescharacteristic
1686C22⋊C4C2×D18811yescharacteristic
1687C22⋊C4C2×D18811yescharacteristic
1688C22⋊C4C2×D18811yescharacteristic
1689C22⋊C4C2×D18811yescharacteristic
1690C42—941no—
1691C42—941no—
1692C42—941no—
1693C42—941no—
1694C42C2×D18811yescharacteristic
1695C42C2×D18811yescharacteristic
1696C42C23×D4711yescharacteristic
1697C42C23×D4711yescharacteristic
1698C23—944no—
1699C23—941no—
1700C23—941no—
1701C23—941no—
1702C23—941no—
1703C23—941no—
1704C23—941no—
1705C23—3761no—
1706C23—3761no—
1707C23—3761no—
1708C23—3761no—
1709C23—3761no—
1710C23—3761no—
1711C23—3761no—
1712C23—3761no—
1713C23—3761no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—1882no—
1719C23—1882no—
1720C23—1882no—
1721C23—1882no—
1722C23C22×D18811yescharacteristic
1723C23C22×D18811yescharacteristic
1724C23C22×D18811yescharacteristic
1725C23C22×D18811yescharacteristic
1726C23C22×D18811yescharacteristic
1727Q8—41no—
1728Q8—41no—
1729Q8—941no—
1730Q8—941no—
1731Q8—941no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—941no—
1737Q8—3761no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—472no—
1749D4—472no—
1750D4—944no—
1751D4—941no—
1752D4—941no—
1753D4—941no—
1754D4—941no—
1755D4—941no—
1756D4—941no—
1757D4—941no—
1758D4—941no—
1759D4—941no—
1760D4—941no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—3761no—
1770D4—3761no—
1771D4—3761no—
1772D4—3761no—
1773D4—3761no—
1774D4—3761no—
1775D4—1882no—
1776D4—1882no—
1777D4—1882no—
1778D4—1882no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4—1882no—
1784D4—1882no—
1785D4—1882no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—941no—
1799C2×C4—941no—
1800C2×C4—941no—
1801C2×C4—941no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—3761no—
1809C2×C4—3761no—
1810C2×C4—3761no—
1811C2×C4—3761no—
1812C2×C4—3761no—
1813C2×C4—3761no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—1882no—
1819C2×C4—1882no—
1820C2×C4—1882no—
1821C2×C4—1882no—
1822C2×C4—1882no—
1823C2×C4—1882no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4C22×D18811yescharacteristic
1827C2×C4C22×D18811yescharacteristic
1828C2×C4C22×D18811yescharacteristic
1829C2×C4C22×D18811yescharacteristic
1830C2×C4C22×D18811yescharacteristic
1831C2×C4C22×D18811yescharacteristic
1832C2×C4C22×D18811yescharacteristic
1833C2×C4C22×D18811yescharacteristic
1834C2×C4C22×D18811yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—942no—
1860C22—942no—
1861C22—3764no—
1862C22—1881no—
1863C22—1881no—
1864C22—1881no—
1865C22—1881no—
1866C22—1881no—
1867C22—1881no—
1868C22—1881no—
1869C22—1881no—
1870C22—1881no—
1871C22—1881no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—7522no—
1879C22—7522no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C23×D18811yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—1881no—
1894C4—1881no—
1895C4—1881no—
1896C4—1881no—
1897C4—1881no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4H(5,𝔽2)×D4711yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—3761no—
1911C2—3761no—
1912C2—3761no—
1913C2—3761no—
1914C2—1882no—
1915C2—1882no—
1916C2#2025702411yescharacteristic
1917C2#2025816211yescharacteristic
1918C2#2025816911yescharacteristic
subgroupG/H
centerC22C23×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#2981C2
socleC22×C47C23×D4
hypercenter#2981D47
hypocenterC47#61678
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #532 ◁ #2981

Complements

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

NH ≅ G/Ntype
1. #20257815C2semidirect
2. #20257150C2semidirect
3. #20255606C2semidirect
4. #20255591C2semidirect
5. #20255531C2semidirect
6. #20255486C2semidirect
7. #20255411C2semidirect
8. #20255366C2semidirect
9. #20255240C2semidirect
10. #20255225C2semidirect
11. #20255100C2semidirect
12. #20255075C2semidirect
13. #20255024C2semidirect
14. #20255000C2semidirect
15. #20254948C2semidirect
16. #20254918C2semidirect
17. #20254888C2semidirect
18. #20254873C2semidirect
19. #20254427C2semidirect
20. #20254366C2semidirect
21. #20254300C2semidirect
22. #20254290C2semidirect
23. #20254272C2semidirect
24. #20254242C2semidirect
25. #20253528C2semidirect
26. #20253437C2semidirect
27. #20252695C2semidirect
28. #20252695C2semidirect
29. #20252667C2semidirect
30. #20252658C2semidirect
31. C47×#2981C2semidirect
33. C2×#13094070C22semidirect
34. C2×#13094057C22semidirect
35. C2×#13094052C22semidirect
36. C2×#13094052C22semidirect
37. C2×#13094052C22semidirect
38. C2×#13094046C22semidirect
39. C2×#13094046C22semidirect
40. C22×#10625325C22semidirect
41. C22×D376C22semidirect
45. #15689819C22semidirect
46. #15689819C22semidirect
47. #15689813C22semidirect
48. #15689813C22semidirect
50. #15689782C22semidirect
51. #15689782C22semidirect
53. #15689778C22semidirect
57. #15689769C22semidirect
58. #15689769C22semidirect
59. #15689769C22semidirect
60. #15689769C22semidirect
64. D4×D188C22semidirect
71. #15689701C22semidirect
72. #15689701C22semidirect
73. #15689701C22semidirect
74. #15689694C22semidirect
75. #15689687C22semidirect
78. #15689673C22semidirect
79. #15689657C22semidirect
80. #15689657C22semidirect
83. C2×C4×D188C22semidirect
84. #15689517C22semidirect
85. #15689512C22semidirect
86. #15689507C22semidirect
87. #15689507C22semidirect
88. #15689492C22semidirect
89. #15689488C22semidirect
90. #15689478C22semidirect
91. #15689478C22semidirect
92. #15689465C22semidirect
93. #15689465C22semidirect
94. #15689459C22semidirect
95. #15689459C22semidirect
96. #15689454C22semidirect
97. #15689454C22semidirect
98. #15689448C22semidirect
99. #15689448C22semidirect
100. #15689442C22semidirect
101. #15689442C22semidirect
102. #15689437C22semidirect
103. #15689437C22semidirect
104. #15689424C22semidirect
105. #15689424C22semidirect
106. #15689424C22semidirect
107. #15689424C22semidirect
108. #15689381C22semidirect
109. #15689381C22semidirect
110. #15689376C22semidirect
111. #15689376C22semidirect
112. #15689369C22semidirect
113. #15689369C22semidirect
114. #15689369C22semidirect
115. #15689369C22semidirect
116. #15689364C22semidirect
117. #15689364C22semidirect
118. #15689359C22semidirect
119. #15689359C22semidirect
120. #15689352C22semidirect
121. #15689352C22semidirect
122. #15689352C22semidirect
123. #15689352C22semidirect
124. #15689346C22semidirect
125. #15689346C22semidirect
126. #15689339C22semidirect
127. #15689339C22semidirect
128. #15689339C22semidirect
129. #15689339C22semidirect
130. #15689339C22semidirect
131. #15689339C22semidirect
132. #15689334C22semidirect
133. #15689329C22semidirect
134. #15689324C22semidirect
135. #15689319C22semidirect
136. #15689287C22semidirect
137. #15689287C22semidirect
138. #15689287C22semidirect
139. #15689287C22semidirect
140. #15689287C22semidirect
141. #15689287C22semidirect
142. #15689287C22semidirect
143. #15689287C22semidirect
144. #15689287C22semidirect
145. #15689287C22semidirect
146. #15689281C22semidirect
147. #15689276C22semidirect
148. #15689276C22semidirect
149. #15689276C22semidirect
150. #15689276C22semidirect
151. #15689276C22semidirect
152. #15689276C22semidirect
153. #15689276C22semidirect
154. #15689270C22semidirect
155. #15689270C22semidirect
156. #15689270C22semidirect
157. #15689270C22semidirect
158. #15689270C22semidirect
159. #15689270C22semidirect
160. #15689270C22semidirect
161. #15689270C22semidirect
162. #15689270C22semidirect
163. #15689270C22semidirect
164. #15689264C22semidirect
167. #15689259C22semidirect
168. #15689259C22semidirect
169. #15689259C22semidirect
170. #15689259C22semidirect
171. #15689259C22semidirect
172. #15689236C22semidirect
173. #15689236C22semidirect
174. #15689225C22semidirect
175. #15689225C22semidirect
176. C4×#10625325C22semidirect
177. C4×#10625325C22semidirect
178. C4×D376C22semidirect
179. C4×D376C22semidirect
180. #15689129C22semidirect
181. #15689129C22semidirect
182. #15689125C22semidirect
183. #15689125C22semidirect
184. #15689120C22semidirect
185. #15689120C22semidirect
186. C2×#13093946C22semidirect
187. C2×#13093946C22semidirect
189. C47×#436C22semidirect
190. C47×#436C22semidirect
191. C47×#435C22semidirect
192. C47×#435C22semidirect
193. C47×#435C22semidirect
194. C47×#435C22semidirect
195. C8×D4×C47C22semidirect
196. C8×D4×C47C22semidirect
197. C47×#432C22semidirect
198. C47×#431C22semidirect
199. C47×#408C22semidirect
200. C47×#408C22semidirect
201. C47×#408C22semidirect
202. C47×#408C22semidirect
976. #2981D47semidirect
1140. #436C2×D47semidirect
1141. #436C2×D47semidirect
1142. #435C2×D47semidirect
1143. #435C2×D47semidirect
1144. #435C2×D47semidirect
1145. #435C2×D47semidirect
1146. C8×D4C2×D47semidirect
1147. C8×D4C2×D47semidirect
1148. #432C2×D47semidirect
1149. #431C2×D47semidirect
1158. #408C2×D47semidirect
1159. #408C2×D47semidirect
1160. #408C2×D47semidirect
1161. #408C2×D47semidirect
1162. C47#61678semidirect

Maximal subgroups

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

subgroupindex
#202578152
#202571502
#202556062
#202555912
#202555312
#202554862
#202554112
#202553662
#202552402
#202552252
#202551002
#202550752
#202550242
#202550002
#202549482
#202549182
#202548882
#202548732
#202544272
#202543662
#202543002
#202542902
#202542722
#202542422
#202535282
#202534372
#202526952
#202526672
#202526582
C47×#29812
#6167847