Finite Group Databasebeta

← #27102515

Subgroups — #27102515

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257700C211yesmaximal, characteristic, complemented
2#20257055C211yesmaximal, characteristic, complemented
3#20255543C211yesmaximal, characteristic, complemented
4#20255416C211yesmaximal, characteristic, complemented
5#20255401C211yesmaximal, characteristic, complemented
6#20255378C211yesmaximal, characteristic, complemented
7#20255337C211yesmaximal, characteristic, complemented
8#20255282C211yesmaximal, characteristic, complemented
9#20255245C211yesmaximal, characteristic, complemented
10#20255200C211yesmaximal, characteristic, complemented
11#20255143C211yesmaximal, characteristic, complemented
12#20255094C211yesmaximal, characteristic, complemented
13#20255072C211yesmaximal, characteristic, complemented
14#20255060C211yesmaximal, characteristic, complemented
15#20254927C211yesmaximal, characteristic, complemented
16#20254923C211yesmaximal, characteristic, complemented
17#20254889C211yesmaximal, characteristic, complemented
18#20254867C211yesmaximal, characteristic, complemented
19#20254438C211yesmaximal, characteristic, complemented
20#20254289C211yesmaximal, characteristic, complemented
21#20254239C211yesmaximal, characteristic, complemented
22#20254156C211yesmaximal, characteristic, complemented
23#20254137C211yesmaximal, characteristic, complemented
24#20253644C211yesmaximal, characteristic, complemented
25#20253589C211yesmaximal, characteristic, complemented
26#20252693C211yesmaximal, characteristic, complemented
27#20252651C211yesmaximal, characteristic, complemented
28#20252609C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252443C211yesmaximal, characteristic, complemented
31C47×#3224C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic, complemented
36C2×#13094047C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094045C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40C2×D8×D47C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689869—21no—
43#15689864—21no—
44#15689839C2211yescharacteristic, complemented
45#15689823C2211yescharacteristic, complemented
46#15689814C2211yescharacteristic, complemented
47#15689798—21no—
48#15689795C2211yescharacteristic, complemented
49#15689793C2211yescharacteristic, complemented
50#15689793C2211yescharacteristic, complemented
51#15689781C2211yescharacteristic
52#15689781C2211yescharacteristic, complemented
53#15689776C2211yescharacteristic, complemented
54#15689766C2211yescharacteristic, complemented
55#15689766C2211yescharacteristic, complemented
56#15689766C2211yescharacteristic, complemented
57#15689766C2211yescharacteristic, complemented
58#15689764—21no—
59#15689760—21no—
60#15689760—21no—
61D4×D188C2211yescharacteristic, complemented
62#15689758C2211yescharacteristic
63#15689758C2211yescharacteristic, complemented
64#15689755—21no—
65#15689755—21no—
66#15689728C2211yescharacteristic, complemented
67#15689725—21no—
68#15689707—21no—
69#15689703C2211yescharacteristic, complemented
70#15689702—21no—
71#15689701C2211yescharacteristic, complemented
72#15689691—21no—
73#15689689—21no—
74#15689689C2211yescharacteristic, complemented
75#15689684—21no—
76#15689636C2211yescharacteristic, complemented
77#15689635C2211yescharacteristic
78#15689633—21no—
79C2×#13093995C2211yescharacteristic, complemented
80#121×D47—21no—
81#121×D47C2211yescharacteristic, complemented
82#15689603C2211yescharacteristic, complemented
83#15689513C2211yescharacteristic, complemented
84#15689499C2211yescharacteristic, complemented
85#15689487C2211yescharacteristic, complemented
86#15689477C2211yescharacteristic, complemented
87#15689462C2211yescharacteristic, complemented
88#15689457C2211yescharacteristic, complemented
89#15689456C2211yescharacteristic, complemented
90#15689446C2211yescharacteristic, complemented
91#15689446C2211yescharacteristic, complemented
92#15689446C2211yescharacteristic, complemented
93#15689442C2211yescharacteristic, complemented
94#15689437C2211yescharacteristic, complemented
95#15689435C2211yescharacteristic, complemented
96#15689435C2211yescharacteristic, complemented
97#15689435C2211yescharacteristic, complemented
98#15689434C2211yescharacteristic, complemented
99#15689431C2211yescharacteristic, complemented
100#15689424C2211yescharacteristic, complemented
101#15689415C2211yescharacteristic, complemented
102#15689400C2211yescharacteristic, complemented
103#15689373C2211yescharacteristic, complemented
104#15689372C2211yescharacteristic, complemented
105#15689372C2211yescharacteristic, complemented
106#15689366C2211yescharacteristic, complemented
107#15689361C2211yescharacteristic, complemented
108#15689358C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689358C2211yescharacteristic, complemented
114#15689356C2211yescharacteristic, complemented
115#15689356C2211yescharacteristic, complemented
116#15689349C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689349C2211yescharacteristic, complemented
119#15689342C2211yescharacteristic, complemented
120#15689335C2211yescharacteristic, complemented
121#15689335C2211yescharacteristic, complemented
122#15689335C2211yescharacteristic, complemented
123#15689324C2211yescharacteristic, complemented
124#15689319C2211yescharacteristic, complemented
125#15689315C2211yescharacteristic, complemented
126#15689315C2211yescharacteristic, complemented
127#15689284C2211yescharacteristic, complemented
128#15689283C2211yescharacteristic, complemented
129#15689282C2211yescharacteristic, complemented
130#15689277C2211yescharacteristic, complemented
131#15689272C2211yescharacteristic, complemented
132#15689272C2211yescharacteristic, complemented
133#15689272C2211yescharacteristic, complemented
134#15689271C2211yescharacteristic, complemented
135#15689270C2211yescharacteristic, complemented
136#15689270C2211yescharacteristic, complemented
137#15689269C2211yescharacteristic, complemented
138#15689269C2211yescharacteristic, complemented
139#15689269C2211yescharacteristic, complemented
140#15689268C2211yescharacteristic, complemented
141#15689268C2211yescharacteristic, complemented
142#15689267C2211yescharacteristic, complemented
143#15689267C2211yescharacteristic, complemented
144#15689267C2211yescharacteristic, complemented
145#15689267C2211yescharacteristic, complemented
146#15689266C2211yescharacteristic
147#15689265C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689263C2211yescharacteristic, complemented
150#15689258C2211yescharacteristic, complemented
151#15689258C2211yescharacteristic, complemented
152#15689258C2211yescharacteristic, complemented
153#15689257C2211yescharacteristic, complemented
154#15689257C2211yescharacteristic, complemented
155#15689255C2211yescharacteristic, complemented
156#15689255C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689236C2211yescharacteristic, complemented
160#15689225C2211yescharacteristic, complemented
161#15689223C2211yescharacteristic, complemented
162#15689221C2211yescharacteristic, complemented
163C4×#10625337C2211yescharacteristic, complemented
164C4×#10625325C2211yescharacteristic, complemented
165C4×D376C2211yescharacteristic, complemented
166C4×#10625334C2211yescharacteristic, complemented
167#15689196C2211yescharacteristic, complemented
168#15689196C2211yescharacteristic, complemented
169#15689193C2211yescharacteristic, complemented
170#15689193C2211yescharacteristic, complemented
171C8×D188C2211yescharacteristic, complemented
172C8×D188C2211yescharacteristic, complemented
173#15689188C2211yescharacteristic, complemented
174#15689188C2211yescharacteristic, complemented
175#15689184C2211yescharacteristic, complemented
176#15689126C2211yescharacteristic, complemented
177#15689121C2211yescharacteristic, complemented
178#15689118C2211yescharacteristic, complemented
179#15689116C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181#103×D47C2211yescharacteristic, complemented
182#102×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689088C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C22⋊C8×D47C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#542C2211yescharacteristic, complemented
189C47×#535C2211yescharacteristic, complemented
190C47×#496C2211yescharacteristic, complemented
191C47×#495C2211yescharacteristic, complemented
192C47×#489C2211yescharacteristic, complemented
193C47×#486C2211yescharacteristic, complemented
194C47×#464C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#460C2211yescharacteristic, complemented
197C47×#459C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C47×#433C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354—21no—
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625354C2311yescharacteristic
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625352—21no—
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217#41×D47—42no—
218#41×D47—42no—
219C2×Q8×D47C2311yescharacteristic
220C22×D188—21no—
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C2×D4×D47C2311yescharacteristic
234C22×C4×D47—21no—
235C22×C4×D47C2311yescharacteristic
236#13094051—42no—
237#13094048—42no—
238#13094047—42no—
239#13094045—42no—
240#13094045—42no—
241C2×#10625337C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625336C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×#10625336C2311yescharacteristic
248SD16×D47—42no—
249C2×D376C2311yescharacteristic
250C2×D376C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254C2×#10625334C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258D8×D47—42no—
259D8×D47—42no—
260C2×#10625324C2311yescharacteristic
261C2×#10625324C2311yescharacteristic
262C2×C8×D47C2311yescharacteristic
263C2×C8×D47C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267C2×C8×D47C2311yescharacteristic
268#13094021—21no—
269#13094021C2311yescharacteristic
270#13094020—21no—
271#13094020—21no—
272#13094020—21no—
273#13094018—21no—
274#13094017—21no—
275#13094016C2311yescharacteristic
276#13094014—21no—
277#13094013—21no—
278#13094013—21no—
279#13094010—21no—
280#13094010—21no—
281#13094010—21no—
282#13094009—21no—
283#13094009—21no—
284#13094009—21no—
285#13094009—21no—
286#13094009—21no—
287#13094009—21no—
288#13094008D411yescharacteristic
289#13094008D411yescharacteristic
290#13094007—21no—
291#13094006—21no—
292#13094006—21no—
293#13094006—21no—
294#13094006—21no—
295#13094004D411yescharacteristic
296#13094004D411yescharacteristic
297#13094003—21no—
298#13094002—21no—
299#13094001—21no—
300#13094001—21no—
301#13094000—21no—
302#13094000C2311yescharacteristic
303#13094000C2311yescharacteristic
304#13094000C2311yescharacteristic
305#13094000C2311yescharacteristic
306#13093999—21no—
307#13093999—21no—
308#13093999—21no—
309#13093999—21no—
310#13093999D411yescharacteristic
311#13093999D411yescharacteristic
312#13093999C2311yescharacteristic
313#13093999C2311yescharacteristic
314#13093999C2311yescharacteristic
315#13093999C2311yescharacteristic
316#13093998—21no—
317#13093998—21no—
318#13093998C2311yescharacteristic
319#13093998C2311yescharacteristic
320#13093997—21no—
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093997—21no—
330#13093997—21no—
331#13093997—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093996—21no—
336#13093996—21no—
337#13093996—21no—
338#13093996—21no—
339#13093995—21no—
340#13093995—21no—
341#13093995—21no—
342#13093995—21no—
343#13093995C2311yescharacteristic
344#13093995C2311yescharacteristic
345#13093995C2311yescharacteristic
346#13093995C2311yescharacteristic
347#13093995C2311yescharacteristic
348#13093995C2311yescharacteristic
349#13093995C2311yescharacteristic
350#13093995C2311yescharacteristic
351#13093994—21no—
352#13093994—21no—
353#13093994—21no—
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093994—21no—
358#13093994—21no—
359#13093994D411yescharacteristic
360#13093994D411yescharacteristic
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366C4×Dic94C2311yescharacteristic
367C4×Dic94C2311yescharacteristic
368C4×D188—21no—
369C4×D188C2311yescharacteristic
370C4×D188C2311yescharacteristic
371C4×D188C2311yescharacteristic
372C4×D188C2311yescharacteristic
373C4×D188C2311yescharacteristic
374C4×D188C2311yescharacteristic
375C4×D188C2311yescharacteristic
376C4×D188C2311yescharacteristic
377D4×Dic47—21no—
378D4×Dic47—21no—
379#13093986—21no—
380C4×C22⋊D47—21no—
381(C22⋊D47)⋊C4—21no—
382(C22⋊D47)⋊C4—21no—
383(C22⋊D47)⋊C4—21no—
384(C22⋊D47)⋊C4—21no—
385(C22⋊D47)⋊C4—21no—
386#13093982—21no—
387#13093982—21no—
388#13093982C2311yescharacteristic
389#13093982C2311yescharacteristic
390#13093981—21no—
391C2×C4⋊Dic47C2311yescharacteristic
392C4⋊C4×D47—21no—
393C4⋊C4×D47C2311yescharacteristic
394C4⋊C4×D47C2311yescharacteristic
395C2×C22⋊Dic47—21no—
396C22⋊C4×D47—21no—
397C22⋊C4×D47—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401#13093958C2311yescharacteristic
402#13093958C2311yescharacteristic
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
407#13093956C2311yescharacteristic
408#13093956C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410C4⋊(C47⋊C8)C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093945C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444(C2×D47)⋊C8C2311yescharacteristic
445#13093935C2311yescharacteristic
446C4×C47⋊C8C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449C2×Q16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×D8×C47C2311yescharacteristic
455C2×D8×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C4⋊Q8×C47C2311yescharacteristic
458#127×C47C2311yescharacteristic
459#127×C47C2311yescharacteristic
460#126×C47—21no—
461#124×C47—21no—
462#124×C47C2311yescharacteristic
463#124×C47C2311yescharacteristic
464#124×C47C2311yescharacteristic
465#123×C47—21no—
466C22⋊Q8×C47—21no—
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#120×C47—21no—
472#120×C47—21no—
473C4×Q8×C47C2311yescharacteristic
474C4×D4×C47C2311yescharacteristic
475#117×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477C4⋊C8×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488#97×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47—21no—
500C2×Q8×C47C2411yescharacteristic
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—41no—
510C2×D4×C47—41no—
511C2×D4×C47C2411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C2×D4×C47C2411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C22×C4×C47—21no—
516C22×C4×C47—21no—
517C22×C4×C47C2411yescharacteristic
518C2×C22⋊D47—21no—
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—
537C2×C22⋊D47—44no—
538C2×C22⋊D47—44no—
539C2×C22⋊D47—82no—
540C2×C22⋊D47C2×D411yescharacteristic
541C2×C22⋊D47C2×D411yescharacteristic
542C22×Dic47—21no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47C2×D411yescharacteristic
547#10625354—22no—
548#10625354—41no—
549#10625354—41no—
550#10625354—41no—
551#10625354—41no—
552#10625354—41no—
553#10625354—82no—
554Q8×D47—22no—
555Q8×D47—41no—
556#10625352—22no—
557#10625352—22no—
558#10625352—22no—
559#10625352—41no—
560#10625352—41no—
561#10625352—41no—
562#10625352—44no—
563#10625352—44no—
564D4×D47—22no—
565D4×D47—22no—
566D4×D47—22no—
567D4×D47—41no—
568D4×D47—41no—
569D4×D47—41no—
570D4×D47—41no—
571D4×D47—41no—
572D4×D47—41no—
573D4×D47—41no—
574D4×D47—44no—
575D4×D47—44no—
576D4×D47—82no—
577D4×D47—82no—
578D4×D47—82no—
579#10625350—22no—
580#10625350—22no—
581#10625350—41no—
582#10625350—41no—
583#10625350—44no—
584C2×D188—21no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—21no—
588C2×D188—21no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—21no—
593C2×D188—82no—
594C2×D188C2×D411yescharacteristic
595C2×D188C2×D411yescharacteristic
596C2×D188C2×D411yescharacteristic
597C2×D188C2×D411yescharacteristic
598C2×D188C2×D411yescharacteristic
599C2×D188C2411yescharacteristic
600C2×D188C2411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×C4×D47—21no—
603C2×C4×D47—21no—
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—41no—
614C2×C4×D47—41no—
615C2×C4×D47—44no—
616C2×C4×D47C2×D411yescharacteristic
617C2×C4×D47C2×D411yescharacteristic
618C2×C4×D47C2411yescharacteristic
619C2×C4×D47C2411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×C4×D47C2411yescharacteristic
622C2×Dic94—21no—
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625Q16×C47—41no—
626SD16×C47—41no—
627SD16×C47—41no—
628SD16×C47—41no—
629SD16×C47—41no—
630D8×C47—41no—
631D8×C47—41no—
632D8×C47—41no—
633C2×C8×C47C2411yescharacteristic
634C2×C8×C47C2411yescharacteristic
635C2×C8×C47C2411yescharacteristic
636C2×C8×C47C2411yescharacteristic
637C4⋊C4×C47—21no—
638C4⋊C4×C47—21no—
639C4⋊C4×C47—21no—
640C4⋊C4×C47C2×D411yescharacteristic
641C4⋊C4×C47C2×D411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47C2×D411yescharacteristic
654C22⋊C4×C47C2×D411yescharacteristic
655C42×C47—21no—
656C42×C47C2411yescharacteristic
657C42×C47C2411yescharacteristic
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666#10625337—22no—
667#10625336—22no—
668#10625336—41no—
669#10625336—41no—
670#10625335—22no—
671#10625334—22no—
672#10625334—41no—
673#10625334—41no—
674#10625334—41no—
675#10625334—41no—
676#10625334—41no—
677#10625334—41no—
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—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4C2×D411yescharacteristic
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700(C2×D47)⋊C4C2×D411yescharacteristic
701(C2×D47)⋊C4C2×D411yescharacteristic
702C4⋊Dic47—21no—
703C4⋊Dic47C2×D411yescharacteristic
704C4⋊Dic47C2×D411yescharacteristic
705C4⋊Dic47C2×D411yescharacteristic
706C4⋊Dic47C2×D411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708C4⋊Dic47C2411yescharacteristic
709C4⋊Dic47C2411yescharacteristic
710C4⋊Dic47C2411yescharacteristic
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4—21no—
720Dic47⋊C4—21no—
721C4×Dic47—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729D376—22no—
730D376—22no—
731#10625325—22no—
732#10625325—22no—
733#10625324—41no—
734#10625324—41no—
735C8×D47—41no—
736C8×D47—41no—
737C8×D47—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—42no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—22no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—41no—
754C22×D47—41no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47C22×D411yescharacteristic
771C22×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—21no—
778Q8×C47—81no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—21no—
787D4×C47—42no—
788D4×C47—42no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792D4×C47—81no—
793D4×C47—81no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—42no—
801C2×C4×C47—81no—
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C22×D411yescharacteristic
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C2511yescharacteristic
808C22⋊D47—24no—
809C22⋊D47—41no—
810C22⋊D47—41no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—41no—
835C2×Dic47—42no—
836C2×Dic47—42no—
837C2×Dic47—42no—
838C2×Dic47—81no—
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843D188—22no—
844D188—22no—
845D188—21no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—21no—
850D188—41no—
851D188—41no—
852D188—41no—
853D188—42no—
854D188—42no—
855D188—81no—
856D188—81no—
857D188—81no—
858D188—81no—
859D188—81no—
860D188—81no—
861D188—81no—
862D188H(5,𝔽2)12yes—
863C4×D47—24no—
864C4×D47—21no—
865C4×D47—21no—
866C4×D47—21no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—41no—
873C4×D47—41no—
874C4×D47—42no—
875C4×D47—42no—
876C4×D47—42no—
877C4×D47—81no—
878C4×D47—81no—
879C4×D47—81no—
880C4×D47—81no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884Dic94—21no—
885Dic94—41no—
886Dic94—42no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—41no—
901C22×C47—41no—
902C22×C47—41no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47—162no—
913C22×C47C23×D411yescharacteristic
914C2×D47—21no—
915C2×D47—21no—
916C2×D47—21no—
917C2×D47—21no—
918C2×D47—21no—
919C2×D47—22no—
920C2×D47—21no—
921C2×D47—21no—
922C2×D47—21no—
923C2×D47—21no—
924C2×D47—21no—
925C2×D47—21no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—82no—
935C2×D47—84no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952Dic47—22no—
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224D4711yescharacteristic, complemented
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977—471no—
992C2×C47—41no—
993C2×C47—81no—
994C2×C47—81no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47#348411yescharacteristic
998C2×C47C2×#57611yescharacteristic
999C2×C47#358411yescharacteristic
1000D47—22no—
1001D47—41no—
1002D47—41no—
1003D47—41no—
1004D47—42no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542C2×D4711yescharacteristic, complemented
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—941no—
1050#535—941no—
1051#535C2×D4711yescharacteristic, complemented
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496C2×D4711yescharacteristic, complemented
1062#495C2×D4711yescharacteristic, complemented
1063#493—471no—
1064#490—471no—
1065#489C2×D4711yescharacteristic, complemented
1066#488—471no—
1067#486C2×D4711yescharacteristic, complemented
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466—471no—
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464C2×D4711yescharacteristic, complemented
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463C2×D4711yescharacteristic, complemented
1106#460—471no—
1107#460C2×D4711yescharacteristic, complemented
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459C2×D4711yescharacteristic, complemented
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452C2×D4711yescharacteristic, complemented
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450C2×D4711yescharacteristic, complemented
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449C2×D4711yescharacteristic, complemented
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447C2×D4711yescharacteristic, complemented
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433C2×D4711yescharacteristic, complemented
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—1882no—
1194C2×#41—1882no—
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—941no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16C22×D4711yescharacteristic
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—1882no—
1228C2×SD16C22×D4711yescharacteristic
1229C2×SD16C22×D4711yescharacteristic
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—1882no—
1242C2×D8—1882no—
1243C2×D8C22×D4711yescharacteristic
1244C2×D8C22×D4711yescharacteristic
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16—471no—
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
1253C22×C8—471no—
1254C4⋊Q8C22×D4711yescharacteristic
1255#127—471no—
1256#127—941no—
1257#127—941no—
1258#127—941no—
1259#127—941no—
1260#127C22×D4711yescharacteristic
1261#127C22×D4711yescharacteristic
1262#126—21no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—21no—
1268#124—941no—
1269#124—941no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124C22×D4711yescharacteristic
1274#124C22×D4711yescharacteristic
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—471no—
1278#123—471no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123—941no—
1289#123—941no—
1290C22⋊Q8—21no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—471no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—471no—
1319#121—471no—
1320#121—471no—
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#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121—941no—
1349#121—941no—
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—471no—
1354#120—471no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120—941no—
1367#120—941no—
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8C22×D4711yescharacteristic
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—941no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—941no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107—471no—
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8C22×D4711yescharacteristic
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102C22×D4711yescharacteristic
1445#102C22×D4711yescharacteristic
1446#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97C22×D4711yescharacteristic
1464C4×C8—471no—
1465C4×C8C22×D4711yescharacteristic
1466C24—21no—
1467C24—471no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—41no—
1474#41—41no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—3762no—
1482#41—1881no—
1483#41—1881no—
1484#41—1884no—
1485#41—1881no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1884no—
1493#41—1881no—
1494#41—1884no—
1495C2×Q8—21no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—941no—
1499C2×Q8—942no—
1500C2×Q8—1881no—
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—471no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—471no—
1519C2×D4—471no—
1520C2×D4—471no—
1521C2×D4—471no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—942no—
1535C2×D4—942no—
1536C2×D4—942no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—941no—
1552C2×D4—941no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4—1884no—
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—471no—
1576C22×C4—471no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—941no—
1596C22×C4—941no—
1597C22×C4—1881no—
1598C22×C4—1881no—
1599C22×C4—1884no—
1600C22×C4C23×D4711yescharacteristic
1601Q16—41no—
1602Q16—942no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—942no—
1608SD16—942no—
1609SD16—942no—
1610SD16—942no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—41no—
1615D8—41no—
1616D8—942no—
1617D8—942no—
1618D8—942no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—1881no—
1626M16—1881no—
1627C2×C8—471no—
1628C2×C8—471no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—1881no—
1632C2×C8—1881no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4D4×D4711yescharacteristic
1664C4⋊C4D4×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—471no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—21no—
1711C42—941no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42C23×D4711yescharacteristic
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—471no—
1725C23—471no—
1726C23—471no—
1727C23—471no—
1728C23—942no—
1729C23—941no—
1730C23—941no—
1731C23—941no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—1881no—
1743C23—1881no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23—1882no—
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—81no—
1755Q8—472no—
1756Q8—941no—
1757Q8—1881no—
1758Q8—1882no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—472no—
1775D4—942no—
1776D4—942no—
1777D4—944no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—941no—
1783D4—3761no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—1881no—
1801D4—1881no—
1802D4—1881no—
1803D4—1882no—
1804D4—1882no—
1805D4—1881no—
1806D4—1881no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—42no—
1822C2×C4—81no—
1823C2×C4—471no—
1824C2×C4—471no—
1825C2×C4—471no—
1826C2×C4—471no—
1827C2×C4—944no—
1828C2×C4—941no—
1829C2×C4—941no—
1830C2×C4—941no—
1831C2×C4—941no—
1832C2×C4—941no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—3761no—
1842C2×C4—3761no—
1843C2×C4—3761no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—1881no—
1850C2×C4—1881no—
1851C2×C4—1882no—
1852C2×C4—1882no—
1853C2×C4—1882no—
1854C2×C4—1881no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4C2×D4×D4711yescharacteristic
1859C2×C4C2×D4×D4711yescharacteristic
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—472no—
1889C22—941no—
1890C22—941no—
1891C22—941no—
1892C22—941no—
1893C22—941no—
1894C22—941no—
1895C22—941no—
1896C22—941no—
1897C22—942no—
1898C22—941no—
1899C22—941no—
1900C22—941no—
1901C22—3762no—
1902C22—3764no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—942no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4H(5,𝔽2)×D4711yescharacteristic
1936C2—41no—
1937C2—81no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—942no—
1942C2—3761no—
1943C2—3761no—
1944C2—1881no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025702211yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3224C2
socleC22×C47C23×D4
hypercenter#3224D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #20257700C2semidirect
2. #20257055C2semidirect
3. #20255543C2semidirect
4. #20255416C2semidirect
5. #20255401C2semidirect
6. #20255378C2semidirect
7. #20255337C2semidirect
8. #20255282C2semidirect
9. #20255245C2semidirect
10. #20255200C2semidirect
11. #20255143C2semidirect
12. #20255094C2semidirect
13. #20255072C2semidirect
14. #20255060C2semidirect
15. #20254927C2semidirect
16. #20254923C2semidirect
17. #20254889C2semidirect
18. #20254867C2semidirect
19. #20254438C2semidirect
20. #20254289C2semidirect
21. #20254239C2semidirect
22. #20254156C2semidirect
23. #20254137C2semidirect
24. #20253644C2semidirect
25. #20253589C2semidirect
26. #20252693C2semidirect
27. #20252651C2semidirect
28. #20252609C2semidirect
29. #449×D47C2semidirect
30. #20252443C2semidirect
31. C47×#3224C2semidirect
32. C2×#13094069C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094048C22semidirect
36. C2×#13094047C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094045C22semidirect
39. C2×SD16×D47C22semidirect
40. C2×D8×D47C22semidirect
41. C2×D8×D47C22semidirect
44. #15689839C22semidirect
45. #15689823C22semidirect
46. #15689814C22semidirect
48. #15689795C22semidirect
49. #15689793C22semidirect
50. #15689793C22semidirect
52. #15689781C22semidirect
53. #15689776C22semidirect
54. #15689766C22semidirect
55. #15689766C22semidirect
56. #15689766C22semidirect
57. #15689766C22semidirect
61. D4×D188C22semidirect
63. #15689758C22semidirect
66. #15689728C22semidirect
69. #15689703C22semidirect
71. #15689701C22semidirect
74. #15689689C22semidirect
76. #15689636C22semidirect
79. C2×#13093995C22semidirect
81. #121×D47C22semidirect
82. #15689603C22semidirect
83. #15689513C22semidirect
84. #15689499C22semidirect
85. #15689487C22semidirect
86. #15689477C22semidirect
87. #15689462C22semidirect
88. #15689457C22semidirect
89. #15689456C22semidirect
90. #15689446C22semidirect
91. #15689446C22semidirect
92. #15689446C22semidirect
93. #15689442C22semidirect
94. #15689437C22semidirect
95. #15689435C22semidirect
96. #15689435C22semidirect
97. #15689435C22semidirect
98. #15689434C22semidirect
99. #15689431C22semidirect
100. #15689424C22semidirect
101. #15689415C22semidirect
102. #15689400C22semidirect
103. #15689373C22semidirect
104. #15689372C22semidirect
105. #15689372C22semidirect
106. #15689366C22semidirect
107. #15689361C22semidirect
108. #15689358C22semidirect
109. #15689358C22semidirect
110. #15689358C22semidirect
111. #15689358C22semidirect
112. #15689358C22semidirect
113. #15689358C22semidirect
114. #15689356C22semidirect
115. #15689356C22semidirect
116. #15689349C22semidirect
117. #15689349C22semidirect
118. #15689349C22semidirect
119. #15689342C22semidirect
120. #15689335C22semidirect
121. #15689335C22semidirect
122. #15689335C22semidirect
123. #15689324C22semidirect
124. #15689319C22semidirect
125. #15689315C22semidirect
126. #15689315C22semidirect
127. #15689284C22semidirect
128. #15689283C22semidirect
129. #15689282C22semidirect
130. #15689277C22semidirect
131. #15689272C22semidirect
132. #15689272C22semidirect
133. #15689272C22semidirect
134. #15689271C22semidirect
135. #15689270C22semidirect
136. #15689270C22semidirect
137. #15689269C22semidirect
138. #15689269C22semidirect
139. #15689269C22semidirect
140. #15689268C22semidirect
141. #15689268C22semidirect
142. #15689267C22semidirect
143. #15689267C22semidirect
144. #15689267C22semidirect
145. #15689267C22semidirect
147. #15689265C22semidirect
148. #15689265C22semidirect
149. #15689263C22semidirect
150. #15689258C22semidirect
151. #15689258C22semidirect
152. #15689258C22semidirect
153. #15689257C22semidirect
154. #15689257C22semidirect
155. #15689255C22semidirect
156. #15689255C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689236C22semidirect
160. #15689225C22semidirect
161. #15689223C22semidirect
162. #15689221C22semidirect
163. C4×#10625337C22semidirect
164. C4×#10625325C22semidirect
165. C4×D376C22semidirect
166. C4×#10625334C22semidirect
167. #15689196C22semidirect
168. #15689196C22semidirect
169. #15689193C22semidirect
170. #15689193C22semidirect
171. C8×D188C22semidirect
172. C8×D188C22semidirect
173. #15689188C22semidirect
174. #15689188C22semidirect
175. #15689184C22semidirect
176. #15689126C22semidirect
177. #15689121C22semidirect
178. #15689118C22semidirect
179. #15689116C22semidirect
180. #15689116C22semidirect
181. #103×D47C22semidirect
182. #102×D47C22semidirect
183. #102×D47C22semidirect
184. #15689088C22semidirect
185. #15689088C22semidirect
186. C22⋊C8×D47C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#542C22semidirect
189. C47×#535C22semidirect
190. C47×#496C22semidirect
191. C47×#495C22semidirect
192. C47×#489C22semidirect
193. C47×#486C22semidirect
194. C47×#464C22semidirect
195. C47×#463C22semidirect
196. C47×#460C22semidirect
197. C47×#459C22semidirect
198. C47×#452C22semidirect
199. C47×#450C22semidirect
200. C47×#449C22semidirect
201. C47×#447C22semidirect
202. C47×#433C22semidirect
979. #3224D47semidirect
1041. #542C2×D47semidirect
1051. #535C2×D47semidirect
1061. #496C2×D47semidirect
1062. #495C2×D47semidirect
1065. #489C2×D47semidirect
1067. #486C2×D47semidirect
1101. #464C2×D47semidirect
1105. #463C2×D47semidirect
1107. #460C2×D47semidirect
1111. #459C2×D47semidirect
1115. #452C2×D47semidirect
1120. #450C2×D47semidirect
1136. #449C2×D47semidirect
1147. #447C2×D47semidirect
1165. #433C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577002
#202570552
#202555432
#202554162
#202554012
#202553782
#202553372
#202552822
#202552452
#202552002
#202551432
#202550942
#202550722
#202550602
#202549272
#202549232
#202548892
#202548672
#202544382
#202542892
#202542392
#202541562
#202541372
#202536442
#202535892
#202526932
#202526512
#202526092
#449×D472
#202524432
C47×#32242
#6163947