Finite Group Databasebeta

← #27103298

Subgroups — #27103298

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#20255604C211yesmaximal, characteristic, complemented
3#20255589C211yesmaximal, characteristic, complemented
4#20255529C211yesmaximal, characteristic, complemented
5#20255484C211yesmaximal, characteristic, complemented
6#20255409C211yesmaximal, characteristic, complemented
7#20255364C211yesmaximal, characteristic, complemented
8#20255238C211yesmaximal, characteristic, complemented
9#20255223C211yesmaximal, characteristic, complemented
10#20255091C211yesmaximal, characteristic, complemented
11#20255069C211yesmaximal, characteristic, complemented
12#20255015C211yesmaximal, characteristic, complemented
13#20254995C211yesmaximal, characteristic, complemented
14#20254939C211yesmaximal, characteristic, complemented
15#20254914C211yesmaximal, characteristic, complemented
16#20254879C211yesmaximal, characteristic, complemented
17#20254864C211yesmaximal, characteristic, complemented
18#20254425C211yesmaximal, characteristic, complemented
19#20254364C211yesmaximal, characteristic, complemented
20#20254294C211yesmaximal, characteristic, complemented
21#20254285C211yesmaximal, characteristic, complemented
22#20254264C211yesmaximal, characteristic, complemented
23#20254234C211yesmaximal, characteristic, complemented
24#20253526C211yesmaximal, characteristic, complemented
25#20253435C211yesmaximal, characteristic, complemented
26#20252692C211yesmaximal, characteristic, complemented
27#20252692C211yesmaximal, characteristic, complemented
28#20252665C211yesmaximal, characteristic, complemented
29#20252656C211yesmaximal, characteristic, complemented
30#20252464C211yesmaximal, characteristic, complemented
31C47×#3496C211yesmaximal, characteristic, complemented
32C2×#13094054C2211yescharacteristic, complemented
33C2×#13094050C2211yescharacteristic, complemented
34C2×#13094050C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C22×#10625335C2211yescharacteristic, complemented
39C22×#10625334C2211yescharacteristic, complemented
40#15689872—21no—
41#15689860—21no—
42#15689835—21no—
43#15689819C2211yescharacteristic, complemented
44#15689819C2211yescharacteristic, complemented
45#15689813C2211yescharacteristic, complemented
46#15689813C2211yescharacteristic, complemented
47#15689803—21no—
48#15689782C2211yescharacteristic, complemented
49#15689782C2211yescharacteristic, complemented
50#15689769C2211yescharacteristic, complemented
51#15689769C2211yescharacteristic, complemented
52#15689723—21no—
53#15689723—21no—
54#15689705—21no—
55#15689705—21no—
56#15689701C2211yescharacteristic, complemented
57#15689701C2211yescharacteristic, complemented
58#15689694C2211yescharacteristic, complemented
59#15689687C2211yescharacteristic, complemented
60#15689657C2211yescharacteristic, complemented
61#15689657C2211yescharacteristic, complemented
62#15689515C2211yescharacteristic, complemented
63#15689510C2211yescharacteristic, complemented
64#15689505C2211yescharacteristic, complemented
65#15689505C2211yescharacteristic, complemented
66#15689491C2211yescharacteristic, complemented
67#15689487C2211yescharacteristic, complemented
68#15689477C2211yescharacteristic, complemented
69#15689477C2211yescharacteristic, complemented
70#15689461C2211yescharacteristic, complemented
71#15689461C2211yescharacteristic, complemented
72#15689458C2211yescharacteristic, complemented
73#15689456C2211yescharacteristic, complemented
74#15689453C2211yescharacteristic, complemented
75#15689451C2211yescharacteristic, complemented
76#15689444C2211yescharacteristic, complemented
77#15689444C2211yescharacteristic, complemented
78#15689441C2211yescharacteristic, complemented
79#15689439C2211yescharacteristic, complemented
80#15689436C2211yescharacteristic, complemented
81#15689434C2211yescharacteristic, complemented
82#15689423C2211yescharacteristic, complemented
83#15689423C2211yescharacteristic, complemented
84#15689423C2211yescharacteristic, complemented
85#15689423C2211yescharacteristic, complemented
86#15689379C2211yescharacteristic, complemented
87#15689379C2211yescharacteristic, complemented
88#15689374C2211yescharacteristic, complemented
89#15689374C2211yescharacteristic, complemented
90#15689371C2211yescharacteristic, complemented
91#15689371C2211yescharacteristic, complemented
92#15689367C2211yescharacteristic, complemented
93#15689367C2211yescharacteristic, complemented
94#15689362C2211yescharacteristic, complemented
95#15689362C2211yescharacteristic, complemented
96#15689357C2211yescharacteristic, complemented
97#15689357C2211yescharacteristic, complemented
98#15689354C2211yescharacteristic, complemented
99#15689354C2211yescharacteristic, complemented
100#15689350C2211yescharacteristic, complemented
101#15689350C2211yescharacteristic, complemented
102#15689342C2211yescharacteristic, complemented
103#15689342C2211yescharacteristic, complemented
104#15689338C2211yescharacteristic, complemented
105#15689338C2211yescharacteristic, complemented
106#15689338C2211yescharacteristic, complemented
107#15689338C2211yescharacteristic, complemented
108#15689335C2211yescharacteristic, complemented
109#15689335C2211yescharacteristic, complemented
110#15689330C2211yescharacteristic, complemented
111#15689325C2211yescharacteristic, complemented
112#15689320C2211yescharacteristic, complemented
113#15689315C2211yescharacteristic, complemented
114#15689285C2211yescharacteristic, complemented
115#15689285C2211yescharacteristic, complemented
116#15689285C2211yescharacteristic, complemented
117#15689285C2211yescharacteristic, complemented
118#15689285C2211yescharacteristic, complemented
119#15689285C2211yescharacteristic, complemented
120#15689285C2211yescharacteristic, complemented
121#15689285C2211yescharacteristic, complemented
122#15689283C2211yescharacteristic, complemented
123#15689283C2211yescharacteristic, complemented
124#15689278C2211yescharacteristic, complemented
125#15689274C2211yescharacteristic, complemented
126#15689274C2211yescharacteristic, complemented
127#15689274C2211yescharacteristic, complemented
128#15689274C2211yescharacteristic, complemented
129#15689274C2211yescharacteristic, complemented
130#15689274C2211yescharacteristic, complemented
131#15689273C2211yescharacteristic, complemented
132#15689268C2211yescharacteristic, complemented
133#15689268C2211yescharacteristic, complemented
134#15689268C2211yescharacteristic, complemented
135#15689268C2211yescharacteristic, complemented
136#15689268C2211yescharacteristic, complemented
137#15689268C2211yescharacteristic, complemented
138#15689268C2211yescharacteristic, complemented
139#15689268C2211yescharacteristic, complemented
140#15689266C2211yescharacteristic, complemented
141#15689266C2211yescharacteristic, complemented
142#15689261C2211yescharacteristic, complemented
143#15689257C2211yescharacteristic
144#15689257C2211yescharacteristic
145#15689257C2211yescharacteristic, complemented
146#15689257C2211yescharacteristic, complemented
147#15689257C2211yescharacteristic, complemented
148#15689257C2211yescharacteristic, complemented
149#15689256C2211yescharacteristic, complemented
150#15689233C2211yescharacteristic, complemented
151#15689233C2211yescharacteristic, complemented
152#15689223C2211yescharacteristic, complemented
153#15689223C2211yescharacteristic, complemented
154C4×#10625335C2211yescharacteristic, complemented
155C4×#10625335C2211yescharacteristic, complemented
156C4×#10625334C2211yescharacteristic, complemented
157C4×#10625334C2211yescharacteristic, complemented
158#15689201C2211yescharacteristic, complemented
159#15689201C2211yescharacteristic, complemented
160#15689195C2211yescharacteristic, complemented
161#15689195C2211yescharacteristic, complemented
162#15689195C2211yescharacteristic, complemented
163#15689195C2211yescharacteristic, complemented
164D4×C47⋊C8C2211yescharacteristic, complemented
165D4×C47⋊C8C2211yescharacteristic, complemented
166#15689180C2211yescharacteristic, complemented
167#15689176C2211yescharacteristic, complemented
168#15689128C2211yescharacteristic, complemented
169#15689128C2211yescharacteristic, complemented
170#15689124C2211yescharacteristic, complemented
171#15689124C2211yescharacteristic, complemented
172#15689119C2211yescharacteristic, complemented
173#15689119C2211yescharacteristic, complemented
174C2×#13093945C2211yescharacteristic, complemented
175C2×#13093945C2211yescharacteristic, complemented
176#15689090C2211yescharacteristic, complemented
177#15689090C2211yescharacteristic, complemented
178#15689090C2211yescharacteristic, complemented
179#15689090C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C47C2211yescharacteristic
181C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
182C47×#547—21no—
183C47×#547C2211yescharacteristic
184C47×#547C2211yescharacteristic, complemented
185C47×#546—21no—
186C47×#546—21no—
187C47×#546C2211yescharacteristic
188C47×#546C2211yescharacteristic
189C47×#546C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic, complemented
191D42×C47—21no—
192D42×C47C2211yescharacteristic
193D42×C47C2211yescharacteristic, complemented
194C47×#537C2211yescharacteristic
195C47×#537C2211yescharacteristic, complemented
196C47×#534—21no—
197C47×#534—21no—
198C47×#532C2211yescharacteristic
199C47×#532C2211yescharacteristic, complemented
200C2×#121×C47—21no—
201C2×#121×C47—21no—
202C2×C4×D4×C47C2211yescharacteristic, complemented
203C2×#10625350C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C22×Dic94C2311yescharacteristic
206C22×D188C2311yescharacteristic
207#13094054—42no—
208#13094050—42no—
209#13094050—42no—
210#13094049—42no—
211#13094044—42no—
212#13094044—42no—
213C2×#10625337C2311yescharacteristic
214C2×#10625337C2311yescharacteristic
215C2×#10625337C2311yescharacteristic
216C2×#10625337C2311yescharacteristic
217C2×#10625335—42no—
218C2×#10625335C2311yescharacteristic
219C2×#10625335C2311yescharacteristic
220C2×#10625335C2311yescharacteristic
221C2×#10625335C2311yescharacteristic
222C2×#10625335C2311yescharacteristic
223C2×#10625335C2311yescharacteristic
224C2×#10625335C2311yescharacteristic
225C2×#10625335C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227C2×#10625336C2311yescharacteristic
228C2×#10625336C2311yescharacteristic
229C2×#10625336C2311yescharacteristic
230C2×#10625334—42no—
231C2×#10625334C2311yescharacteristic
232C2×#10625334C2311yescharacteristic
233C2×#10625334C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625329C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625329C2311yescharacteristic
242C2×#10625329C2311yescharacteristic
243C22×C47⋊C8C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C22×C47⋊C8C2311yescharacteristic
246C22×C47⋊C8C2311yescharacteristic
247#13094022—21no—
248#13094020—21no—
249#13094019—21no—
250#13094019—21no—
251#13094018—21no—
252#13094018—21no—
253#13094017—21no—
254#13094017—21no—
255#13094016C2311yescharacteristic
256#13094016C2311yescharacteristic
257#13094014—21no—
258#13094014—21no—
259#13094013—21no—
260#13094012C2311yescharacteristic
261#13094012C2311yescharacteristic
262#13094011—21no—
263#13094010—21no—
264#13094010—21no—
265#13094009—21no—
266#13094009—21no—
267#13094007—21no—
268#13094007—21no—
269#13094006—21no—
270#13094006—21no—
271#13094005—21no—
272#13094005—21no—
273#13094005—21no—
274#13094005—21no—
275#13094003C2311yescharacteristic
276#13094003C2311yescharacteristic
277#13094003C2311yescharacteristic
278#13094003C2311yescharacteristic
279#13094003C2311yescharacteristic
280#13094003C2311yescharacteristic
281#13094002—21no—
282#13094002—21no—
283#13094000—21no—
284#13094000—21no—
285#13093998C2311yescharacteristic
286#13093998C2311yescharacteristic
287#13093998C2311yescharacteristic
288#13093998C2311yescharacteristic
289#13093998C2311yescharacteristic
290#13093998C2311yescharacteristic
291#13093997—21no—
292#13093997—21no—
293#13093996—21no—
294#13093996—21no—
295#13093996—21no—
296#13093996—21no—
297#13093996—21no—
298#13093996—21no—
299#13093996—21no—
300#13093996—21no—
301#13093995—21no—
302#13093995—21no—
303#13093992—21no—
304#13093992—21no—
305#13093992—21no—
306#13093992—21no—
307C4×Dic94C2311yescharacteristic
308C4×Dic94C2311yescharacteristic
309C4×D188C2311yescharacteristic
310C4×D188C2311yescharacteristic
311C4×C22⋊D47—21no—
312C4×C22⋊D47—21no—
313(C22⋊D47)⋊C4—21no—
314(C22⋊D47)⋊C4—21no—
315(C22⋊D47)⋊C4—21no—
316(C22⋊D47)⋊C4—21no—
317#13093983C2311yescharacteristic
318#13093983C2311yescharacteristic
319#13093981—21no—
320#13093981—21no—
321#13093980—21no—
322#13093980—21no—
323C2×C4⋊Dic47C2311yescharacteristic
324C2×C4⋊Dic47C2311yescharacteristic
325C22⋊C4×D47—21no—
326C22⋊C4×D47—21no—
327#13093957C2311yescharacteristic
328#13093957C2311yescharacteristic
329#13093957C2311yescharacteristic
330#13093957C2311yescharacteristic
331#13093955C2311yescharacteristic
332#13093955C2311yescharacteristic
333#13093955C2311yescharacteristic
334#13093955C2311yescharacteristic
335C4⋊(C47⋊C8)C2311yescharacteristic
336C4⋊(C47⋊C8)C2311yescharacteristic
337C4⋊(C47⋊C8)C2311yescharacteristic
338C4⋊(C47⋊C8)C2311yescharacteristic
339#13093948C2311yescharacteristic
340#13093948C2311yescharacteristic
341#13093948C2311yescharacteristic
342#13093948C2311yescharacteristic
343#13093948C2311yescharacteristic
344#13093948C2311yescharacteristic
345#13093948C2311yescharacteristic
346#13093948C2311yescharacteristic
347#13093947C2311yescharacteristic
348#13093947C2311yescharacteristic
349#13093947C2311yescharacteristic
350#13093947C2311yescharacteristic
351#13093945C2311yescharacteristic
352#13093945C2311yescharacteristic
353#13093945C2311yescharacteristic
354#13093945C2311yescharacteristic
355#13093945C2311yescharacteristic
356#13093945C2311yescharacteristic
357#13093945C2311yescharacteristic
358#13093945C2311yescharacteristic
359#13093945C2311yescharacteristic
360#13093945C2311yescharacteristic
361#13093945C2311yescharacteristic
362#13093945C2311yescharacteristic
363#13093945C2311yescharacteristic
364#13093945C2311yescharacteristic
365#13093945C2311yescharacteristic
366#13093945C2311yescharacteristic
367#13093944C2311yescharacteristic
368#13093944C2311yescharacteristic
369#13093944C2311yescharacteristic
370#13093944C2311yescharacteristic
371C22⋊(C47⋊C8)C2311yescharacteristic
372C22⋊(C47⋊C8)C2311yescharacteristic
373C22⋊(C47⋊C8)C2311yescharacteristic
374C22⋊(C47⋊C8)C2311yescharacteristic
375C22⋊(C47⋊C8)C2311yescharacteristic
376C22⋊(C47⋊C8)C2311yescharacteristic
377C22⋊(C47⋊C8)C2311yescharacteristic
378C22⋊(C47⋊C8)C2311yescharacteristic
379C22⋊(C47⋊C8)C2311yescharacteristic
380C22⋊(C47⋊C8)C2311yescharacteristic
381C22⋊(C47⋊C8)C2311yescharacteristic
382C22⋊(C47⋊C8)C2311yescharacteristic
383#13093935C2311yescharacteristic
384#13093935C2311yescharacteristic
385C4×C47⋊C8C2311yescharacteristic
386C4×C47⋊C8C2311yescharacteristic
387H(5,𝔽2)×C47—42no—
388H(5,𝔽2)×C47—42no—
389H(5,𝔽2)×C47—42no—
390H(5,𝔽2)×C47—42no—
391C2×#41×C47—21no—
392C2×#41×C47—21no—
393C2×#41×C47C2311yescharacteristic
394C2×#41×C47C2311yescharacteristic
395C2×#41×C47C2311yescharacteristic
396C2×#41×C47C2311yescharacteristic
397C2×#41×C47C2311yescharacteristic
398C2×#41×C47C2311yescharacteristic
399C2×#41×C47C2311yescharacteristic
400C2×#41×C47C2311yescharacteristic
401C22×D4×C47—21no—
402C22×D4×C47—21no—
403C22×D4×C47—21no—
404C22×D4×C47—21no—
405C22×D4×C47—21no—
406C22×D4×C47—21no—
407C22×D4×C47—21no—
408C22×D4×C47—21no—
409C22×D4×C47C2311yescharacteristic
410C22×D4×C47C2311yescharacteristic
411C22×D4×C47C2311yescharacteristic
412C22×D4×C47C2311yescharacteristic
413C22×D4×C47C2311yescharacteristic
414C23×C4×C47—21no—
415C4⋊Q8×C47D411yescharacteristic
416C4⋊Q8×C47C2311yescharacteristic
417#127×C47D411yescharacteristic
418#127×C47C2311yescharacteristic
419#124×C47D411yescharacteristic
420#124×C47D411yescharacteristic
421#124×C47C2311yescharacteristic
422#124×C47C2311yescharacteristic
423#123×C47—21no—
424#123×C47—21no—
425#123×C47—21no—
426#123×C47—21no—
427#123×C47—21no—
428#123×C47—21no—
429#123×C47—21no—
430#123×C47—21no—
431C22⋊Q8×C47—21no—
432C22⋊Q8×C47—21no—
433C22⋊Q8×C47C2311yescharacteristic
434C22⋊Q8×C47C2311yescharacteristic
435C22⋊Q8×C47C2311yescharacteristic
436C22⋊Q8×C47C2311yescharacteristic
437#121×C47—21no—
438#121×C47—21no—
439#121×C47—21no—
440#121×C47—21no—
441#121×C47—21no—
442#121×C47—21no—
443#121×C47—21no—
444#121×C47—21no—
445#121×C47—21no—
446#121×C47—21no—
447#121×C47—21no—
448#121×C47—21no—
449#121×C47—21no—
450#121×C47—21no—
451#121×C47—21no—
452#121×C47—21no—
453#121×C47D411yescharacteristic
454#121×C47D411yescharacteristic
455#121×C47D411yescharacteristic
456#121×C47D411yescharacteristic
457#121×C47C2311yescharacteristic
458#121×C47C2311yescharacteristic
459#121×C47C2311yescharacteristic
460#121×C47C2311yescharacteristic
461#120×C47—21no—
462#120×C47—21no—
463#120×C47—21no—
464#120×C47—21no—
465#120×C47—21no—
466#120×C47—21no—
467#120×C47—21no—
468#120×C47—21no—
469C4×D4×C47—21no—
470C4×D4×C47—21no—
471C4×D4×C47—21no—
472C4×D4×C47—21no—
473C4×D4×C47C2311yescharacteristic
474C4×D4×C47C2311yescharacteristic
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479C4×D4×C47C2311yescharacteristic
480C4×D4×C47C2311yescharacteristic
481C2×C4⋊C4×C47—21no—
482C2×C4⋊C4×C47—21no—
483C2×C4⋊C4×C47C2311yescharacteristic
484C2×C22⋊C4×C47—21no—
485C2×C22⋊C4×C47—21no—
486C2×C22⋊C4×C47—21no—
487C2×C22⋊C4×C47—21no—
488C2×C22⋊C4×C47—21no—
489C2×C42×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C24×C47—21no—
494C24×C47—21no—
495C23×D47—21no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—41no—
504#41×C47—41no—
505#41×C47—41no—
506#41×C47—41no—
507#41×C47—41no—
508#41×C47—41no—
509#41×C47—41no—
510#41×C47—41no—
511#41×C47—41no—
512#41×C47—44no—
513#41×C47—44no—
514C2×Q8×C47C2×D411yescharacteristic
515C2×Q8×C47C2×D411yescharacteristic
516C2×Q8×C47C2411yescharacteristic
517C2×Q8×C47C2411yescharacteristic
518C2×D4×C47—22no—
519C2×D4×C47—22no—
520C2×D4×C47—22no—
521C2×D4×C47—22no—
522C2×D4×C47—22no—
523C2×D4×C47—22no—
524C2×D4×C47—21no—
525C2×D4×C47—21no—
526C2×D4×C47—21no—
527C2×D4×C47—21no—
528C2×D4×C47—21no—
529C2×D4×C47—21no—
530C2×D4×C47—21no—
531C2×D4×C47—21no—
532C2×D4×C47—21no—
533C2×D4×C47—21no—
534C2×D4×C47—21no—
535C2×D4×C47—21no—
536C2×D4×C47—21no—
537C2×D4×C47—21no—
538C2×D4×C47—21no—
539C2×D4×C47—21no—
540C2×D4×C47—21no—
541C2×D4×C47—41no—
542C2×D4×C47—41no—
543C2×D4×C47—41no—
544C2×D4×C47—41no—
545C2×D4×C47—44no—
546C2×D4×C47—44no—
547C2×D4×C47—44no—
548C2×D4×C47—44no—
549C2×D4×C47—44no—
550C2×D4×C47—44no—
551C2×D4×C47—82no—
552C2×D4×C47—82no—
553C2×D4×C47C2×D411yescharacteristic
554C2×D4×C47C2×D411yescharacteristic
555C2×D4×C47C2×D411yescharacteristic
556C2×D4×C47C2×D411yescharacteristic
557C2×D4×C47C2×D411yescharacteristic
558C2×D4×C47C2×D411yescharacteristic
559C2×D4×C47C2×D411yescharacteristic
560C2×D4×C47C2×D411yescharacteristic
561C2×D4×C47C2×D411yescharacteristic
562C2×D4×C47C2×D411yescharacteristic
563C2×D4×C47C2411yescharacteristic
564C2×D4×C47C2411yescharacteristic
565C2×D4×C47C2411yescharacteristic
566C2×D4×C47C2411yescharacteristic
567C22×C4×C47—21no—
568C22×C4×C47—21no—
569C22×C4×C47—21no—
570C22×C4×C47—21no—
571C22×C4×C47—21no—
572C22×C4×C47—21no—
573C22×C4×C47—21no—
574C22×C4×C47—21no—
575C22×C4×C47—21no—
576C22×C4×C47—21no—
577C22×C4×C47—21no—
578C22×C4×C47—82no—
579C22×C4×C47C2×D411yescharacteristic
580C22×C4×C47C2×D411yescharacteristic
581C22×C4×C47C2411yescharacteristic
582C22×C4×C47C2411yescharacteristic
583C22×C4×C47C2411yescharacteristic
584C22×C4×C47C2411yescharacteristic
585C22×C4×C47C2411yescharacteristic
586C2×C22⋊D47—21no—
587C2×C22⋊D47—21no—
588C2×C22⋊D47—21no—
589C2×C22⋊D47—21no—
590C2×C22⋊D47—21no—
591C2×C22⋊D47—21no—
592C2×C22⋊D47—21no—
593C2×C22⋊D47—21no—
594C22×Dic47—21no—
595C22×Dic47—21no—
596C22×Dic47—21no—
597#10625350—41no—
598#10625350—41no—
599#10625350—41no—
600#10625350—41no—
601C2×D188—21no—
602C2×D188—41no—
603C2×D188—41no—
604C2×D188C2411yescharacteristic
605C2×D188C2411yescharacteristic
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×Dic94—21no—
611C2×Dic94—41no—
612C2×Dic94—41no—
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615C4⋊C4×C47—21no—
616C4⋊C4×C47—21no—
617C4⋊C4×C47—21no—
618C4⋊C4×C47—21no—
619C4⋊C4×C47—21no—
620C4⋊C4×C47—21no—
621C4⋊C4×C47—21no—
622C4⋊C4×C47C2×D411yescharacteristic
623C4⋊C4×C47C2×D411yescharacteristic
624C4⋊C4×C47C2×D411yescharacteristic
625C4⋊C4×C47C2×D411yescharacteristic
626C4⋊C4×C47C2411yescharacteristic
627C4⋊C4×C47C2411yescharacteristic
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47—21no—
643C22⋊C4×C47—21no—
644C22⋊C4×C47C2×D411yescharacteristic
645C22⋊C4×C47C2×D411yescharacteristic
646C22⋊C4×C47C2×D411yescharacteristic
647C22⋊C4×C47C2×D411yescharacteristic
648C22⋊C4×C47C2×D411yescharacteristic
649C22⋊C4×C47C2×D411yescharacteristic
650C22⋊C4×C47C2×D411yescharacteristic
651C22⋊C4×C47C2×D411yescharacteristic
652C42×C47C2×D411yescharacteristic
653C42×C47C2×D411yescharacteristic
654C42×C47C2411yescharacteristic
655C42×C47C2411yescharacteristic
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664#10625337—41no—
665#10625337—41no—
666#10625337—41no—
667#10625337—41no—
668#10625336—41no—
669#10625336—41no—
670#10625336—41no—
671#10625336—41no—
672#10625335—22no—
673#10625335—22no—
674#10625335—22no—
675#10625335—22no—
676#10625335—41no—
677#10625335—41no—
678#10625335—41no—
679#10625335—41no—
680#10625334—22no—
681#10625334—22no—
682#10625334—22no—
683#10625334—22no—
684#10625334—41no—
685#10625334—41no—
686#10625334—41no—
687#10625334—41no—
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)⋊C4—21no—
695(C2×D47)⋊C4—21no—
696(C2×D47)⋊C4—21no—
697(C2×D47)⋊C4—21no—
698(C2×D47)⋊C4—21no—
699(C2×D47)⋊C4—21no—
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47C2411yescharacteristic
703C4⋊Dic47C2411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4—21no—
715Dic47⋊C4—21no—
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722#10625329—41no—
723#10625329—41no—
724#10625329—41no—
725#10625329—41no—
726C2×C47⋊C8—41no—
727C2×C47⋊C8—41no—
728C2×C47⋊C8—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8C2411yescharacteristic
731C2×C47⋊C8C2411yescharacteristic
732C2×C47⋊C8C2411yescharacteristic
733C2×C47⋊C8C2411yescharacteristic
734C2×C47⋊C8C2411yescharacteristic
735C2×C47⋊C8C2411yescharacteristic
736C2×C47⋊C8C2411yescharacteristic
737C2×C47⋊C8C2411yescharacteristic
738C23×C47—24no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47—42no—
744C23×C47—42no—
745C23×C47—42no—
746C23×C47—42no—
747C23×C47—81no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47—81no—
756C23×C47—81no—
757C23×C47C22×D411yescharacteristic
758C23×C47C22×D411yescharacteristic
759C23×C47C22×D411yescharacteristic
760C23×C47C22×D411yescharacteristic
761C23×C47C22×D411yescharacteristic
762C22×D47—21no—
763C22×D47—21no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767Q8×C47—21no—
768Q8×C47—21no—
769Q8×C47—21no—
770Q8×C47—21no—
771Q8×C47—41no—
772Q8×C47—41no—
773D4×C47—24no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—21no—
777D4×C47—21no—
778D4×C47—21no—
779D4×C47—21no—
780D4×C47—41no—
781D4×C47—41no—
782D4×C47—41no—
783D4×C47—41no—
784D4×C47—41no—
785D4×C47—41no—
786D4×C47—41no—
787D4×C47—41no—
788D4×C47—41no—
789D4×C47—41no—
790D4×C47—42no—
791D4×C47—42no—
792D4×C47—42no—
793D4×C47—42no—
794D4×C47—42no—
795D4×C47—42no—
796D4×C47—42no—
797D4×C47—42no—
798D4×C47—42no—
799D4×C47—42no—
800D4×C47—42no—
801D4×C47—81no—
802D4×C47—81no—
803D4×C47—81no—
804D4×C47—81no—
805D4×C47—81no—
806D4×C47H(5,𝔽2)12yes—
807D4×C47H(5,𝔽2)12yes—
808C2×C4×C47—21no—
809C2×C4×C47—21no—
810C2×C4×C47—21no—
811C2×C4×C47—21no—
812C2×C4×C47—21no—
813C2×C4×C47—21no—
814C2×C4×C47—21no—
815C2×C4×C47—21no—
816C2×C4×C47—21no—
817C2×C4×C47—21no—
818C2×C4×C47—21no—
819C2×C4×C47—21no—
820C2×C4×C47—21no—
821C2×C4×C47—21no—
822C2×C4×C47—41no—
823C2×C4×C47—41no—
824C2×C4×C47—42no—
825C2×C4×C47—42no—
826C2×C4×C47—42no—
827C2×C4×C47—42no—
828C2×C4×C47—42no—
829C2×C4×C47—42no—
830C2×C4×C47—42no—
831C2×C4×C47—42no—
832C2×C4×C47—81no—
833C2×C4×C47—81no—
834C2×C4×C47—81no—
835C2×C4×C47C22×D411yescharacteristic
836C2×C4×C47C22×D411yescharacteristic
837C2×C4×C47C22×D411yescharacteristic
838C2×C4×C47C22×D411yescharacteristic
839C2×C4×C47C22×D411yescharacteristic
840C2×C4×C47C22×D411yescharacteristic
841C2×C4×C47C22×D411yescharacteristic
842C2×C4×C47C22×D411yescharacteristic
843C2×C4×C47C22×D411yescharacteristic
844C2×C4×C47C2511yescharacteristic
845C22⋊D47—81no—
846C22⋊D47—81no—
847C22⋊D47—81no—
848C22⋊D47—81no—
849C22⋊D47—81no—
850C22⋊D47—81no—
851C22⋊D47—81no—
852C22⋊D47—81no—
853C2×Dic47—21no—
854C2×Dic47—21no—
855C2×Dic47—21no—
856C2×Dic47—21no—
857C2×Dic47—21no—
858C2×Dic47—21no—
859C2×Dic47—81no—
860C2×Dic47—81no—
861C2×Dic47—81no—
862D188—21no—
863D188—21no—
864D188—21no—
865D188—21no—
866D188—81no—
867C4×D47—81no—
868C4×D47—81no—
869C4×D47—81no—
870C4×D47—81no—
871Dic94—21no—
872Dic94—21no—
873Dic94—21no—
874Dic94—21no—
875Dic94—81no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879C47⋊C8—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—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×C47—22no—
901C22×C47—22no—
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—84no—
913C22×C47—162no—
914C22×C47—162no—
915C22×C47—162no—
916C22×C47—162no—
917C22×C47C23×D411yescharacteristic
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—41no—
921C2×D47—41no—
922C2×D47—41no—
923C2×D47—41no—
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×C47—41no—
935C4×C47—41no—
936C4×C47—41no—
937C4×C47—41no—
938C4×C47C2×H(5,𝔽2)11yescharacteristic
939C4×C47C2×H(5,𝔽2)11yescharacteristic
940Dic47—41no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3551—471no—
947#3496D4711yescharacteristic, complemented
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#2981—471no—
977C2×C47—41no—
978C2×C47—41no—
979C2×C47—41no—
980C2×C47—41no—
981C2×C47—41no—
982C2×C47—42no—
983C2×C47—42no—
984C2×C47—81no—
985C2×C47—81no—
986C2×C47#348411yescharacteristic
987C2×C47#358411yescharacteristic
988C2×C47#358511yescharacteristic
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)C2×D4711yescharacteristic
992C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
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—21no—
1012#547C2×D4711yescharacteristic
1013#547C2×D4711yescharacteristic, complemented
1014#546—21no—
1015#546—21no—
1016#546—471no—
1017#546—471no—
1018#546C2×D4711yescharacteristic
1019#546C2×D4711yescharacteristic
1020#546C2×D4711yescharacteristic, complemented
1021#546C2×D4711yescharacteristic, complemented
1022D42—21no—
1023D42C2×D4711yescharacteristic
1024D42C2×D4711yescharacteristic, complemented
1025#540—941no—
1026#540—941no—
1027#538—941no—
1028#538—941no—
1029#537—471no—
1030#537—471no—
1031#537C2×D4711yescharacteristic
1032#537C2×D4711yescharacteristic, complemented
1033#536—471no—
1034#535—471no—
1035#534—21no—
1036#534—21no—
1037#532C2×D4711yescharacteristic
1038#532C2×D4711yescharacteristic, complemented
1039#529—471no—
1040#529—471no—
1041C2×#121—21no—
1042C2×#121—21no—
1043C2×C4×D4C2×D4711yescharacteristic, complemented
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#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435—471no—
1146C8×D4—471no—
1147C8×D4—471no—
1148#432—471no—
1149#431—471no—
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#408—471no—
1159#408—471no—
1160#408—471no—
1161#408—471no—
1162C47#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—42no—
1164H(5,𝔽2)—42no—
1165H(5,𝔽2)—42no—
1166H(5,𝔽2)—42no—
1167C2×#41—21no—
1168C2×#41—21no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41C22×D4711yescharacteristic
1172C2×#41C22×D4711yescharacteristic
1173C2×#41C22×D4711yescharacteristic
1174C2×#41C22×D4711yescharacteristic
1175C2×#41C22×D4711yescharacteristic
1176C2×#41C22×D4711yescharacteristic
1177C2×#41C22×D4711yescharacteristic
1178C2×#41C22×D4711yescharacteristic
1179C22×Q8—471no—
1180C22×D4—21no—
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—471no—
1189C22×D4C22×D4711yescharacteristic
1190C22×D4C22×D4711yescharacteristic
1191C22×D4C22×D4711yescharacteristic
1192C22×D4C22×D4711yescharacteristic
1193C22×D4C22×D4711yescharacteristic
1194C23×C4—21no—
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×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16—471no—
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8—471no—
1234C22×C8—471no—
1235C4⋊Q8—941no—
1236C4⋊Q8C22⋊D4711yescharacteristic
1237C4⋊Q8C22×D4711yescharacteristic
1238#127—941no—
1239#127C22⋊D4711yescharacteristic
1240#127C22×D4711yescharacteristic
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—941no—
1254#124—941no—
1255#124—941no—
1256#124—941no—
1257#124C22⋊D4711yescharacteristic
1258#124C22⋊D4711yescharacteristic
1259#124C22×D4711yescharacteristic
1260#124C22×D4711yescharacteristic
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
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—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293C22⋊Q8C22×D4711yescharacteristic
1294C22⋊Q8C22×D4711yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
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#121C22⋊D4711yescharacteristic
1330#121C22⋊D4711yescharacteristic
1331#121C22⋊D4711yescharacteristic
1332#121C22⋊D4711yescharacteristic
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#121C22×D4711yescharacteristic
1336#121C22×D4711yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×Q8—471no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
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×D4C22×D4711yescharacteristic
1364C4×D4C22×D4711yescharacteristic
1365C4×D4C22×D4711yescharacteristic
1366C4×D4C22×D4711yescharacteristic
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—21no—
1378C2×C4⋊C4—21no—
1379C2×C4⋊C4—471no—
1380C2×C4⋊C4—471no—
1381C2×C4⋊C4C22×D4711yescharacteristic
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—21no—
1384C2×C22⋊C4—21no—
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
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⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8—471no—
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⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8—471no—
1443C22⋊C8—471no—
1444C22⋊C8—471no—
1445C22⋊C8—471no—
1446#97—471no—
1447#97—471no—
1448C4×C8—471no—
1449C4×C8—471no—
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—21no—
1454C24—21no—
1455C24—941no—
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—41no—
1471#41—41no—
1472#41—44no—
1473#41—44no—
1474#41—1881no—
1475#41—1881no—
1476#41—1881no—
1477#41—1881no—
1478C2×Q8—471no—
1479C2×Q8—471no—
1480C2×Q8—941no—
1481C2×Q8—1881no—
1482C2×Q8—1881no—
1483C2×Q8C2×C22⋊D4711yescharacteristic
1484C2×Q8C2×C22⋊D4711yescharacteristic
1485C2×Q8C23×D4711yescharacteristic
1486C2×Q8C23×D4711yescharacteristic
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—22no—
1490C2×D4—22no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
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—41no—
1513C2×D4—41no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—82no—
1521C2×D4—82no—
1522C2×D4—471no—
1523C2×D4—471no—
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—1881no—
1534C2×D4—1881no—
1535C2×D4C2×C22⋊D4711yescharacteristic
1536C2×D4C2×C22⋊D4711yescharacteristic
1537C2×D4C2×C22⋊D4711yescharacteristic
1538C2×D4C2×C22⋊D4711yescharacteristic
1539C2×D4C2×C22⋊D4711yescharacteristic
1540C2×D4C2×C22⋊D4711yescharacteristic
1541C2×D4C2×C22⋊D4711yescharacteristic
1542C2×D4C2×C22⋊D4711yescharacteristic
1543C2×D4C2×C22⋊D4711yescharacteristic
1544C2×D4C2×C22⋊D4711yescharacteristic
1545C2×D4C23×D4711yescharacteristic
1546C2×D4C23×D4711yescharacteristic
1547C2×D4C23×D4711yescharacteristic
1548C2×D4C23×D4711yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—82no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4C2×C22⋊D4711yescharacteristic
1569C22×C4C2×C22⋊D4711yescharacteristic
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—1881no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—471no—
1604C2×C8—471no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—471no—
1609C2×C8—471no—
1610C2×C8—471no—
1611C2×C8—1881no—
1612C2×C8—1881no—
1613C2×C8—1881no—
1614C2×C8—1881no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
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⋊C4C2×C22⋊D4711yescharacteristic
1641C4⋊C4C2×C22⋊D4711yescharacteristic
1642C4⋊C4C2×C22⋊D4711yescharacteristic
1643C4⋊C4C2×C22⋊D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
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×C22⋊D4711yescharacteristic
1683C22⋊C4C2×C22⋊D4711yescharacteristic
1684C22⋊C4C2×C22⋊D4711yescharacteristic
1685C22⋊C4C2×C22⋊D4711yescharacteristic
1686C22⋊C4C2×C22⋊D4711yescharacteristic
1687C22⋊C4C2×C22⋊D4711yescharacteristic
1688C22⋊C4C2×C22⋊D4711yescharacteristic
1689C22⋊C4C2×C22⋊D4711yescharacteristic
1690C42—941no—
1691C42—941no—
1692C42—941no—
1693C42—941no—
1694C42C2×C22⋊D4711yescharacteristic
1695C42C2×C22⋊D4711yescharacteristic
1696C42C23×D4711yescharacteristic
1697C42C23×D4711yescharacteristic
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—42no—
1704C23—42no—
1705C23—42no—
1706C23—42no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—81no—
1711C23—81no—
1712C23—81no—
1713C23—81no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—941no—
1718C23—941no—
1719C23—3761no—
1720C23—3761no—
1721C23—3761no—
1722C23C22×C22⋊D4711yescharacteristic
1723C23C22×C22⋊D4711yescharacteristic
1724C23C22×C22⋊D4711yescharacteristic
1725C23C22×C22⋊D4711yescharacteristic
1726C23C22×C22⋊D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—41no—
1732Q8—41no—
1733Q8—941no—
1734Q8—941no—
1735Q8—941no—
1736Q8—941no—
1737Q8—3761no—
1738D4—24no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—941no—
1772D4—941no—
1773D4—941no—
1774D4—941no—
1775D4—3761no—
1776D4—3761no—
1777D4—3761no—
1778D4—3761no—
1779D4—3761no—
1780D4—3761no—
1781D4—3761no—
1782D4—3761no—
1783D4—3761no—
1784D4#1309406912yes—
1785D4#1309406912yes—
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—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—42no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—941no—
1814C2×C4—941no—
1815C2×C4—941no—
1816C2×C4—941no—
1817C2×C4—941no—
1818C2×C4—941no—
1819C2×C4—3761no—
1820C2×C4—3761no—
1821C2×C4—3761no—
1822C2×C4—3761no—
1823C2×C4—3761no—
1824C2×C4—3761no—
1825C2×C4—3761no—
1826C2×C4C22×C22⋊D4711yescharacteristic
1827C2×C4C22×C22⋊D4711yescharacteristic
1828C2×C4C22×C22⋊D4711yescharacteristic
1829C2×C4C22×C22⋊D4711yescharacteristic
1830C2×C4C22×C22⋊D4711yescharacteristic
1831C2×C4C22×C22⋊D4711yescharacteristic
1832C2×C4C22×C22⋊D4711yescharacteristic
1833C2×C4C22×C22⋊D4711yescharacteristic
1834C2×C4C22×C22⋊D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—941no—
1837C8—941no—
1838C8—941no—
1839C8—941no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
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—22no—
1860C22—22no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—84no—
1872C22—162no—
1873C22—162no—
1874C22—162no—
1875C22—162no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—1881no—
1880C22—1881no—
1881C22—1881no—
1882C22—7522no—
1883C22C23×C22⋊D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—1881no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4C2×#1309406911yescharacteristic
1904C4C2×#1309406911yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—42no—
1911C2—42no—
1912C2—81no—
1913C2—81no—
1914C2—3761no—
1915C2—3761no—
1916C2#2025702311yescharacteristic
1917C2#2025815911yescharacteristic
1918C2#2025816811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3496C2
socleC22×C47C23×D4
hypercenter#3496D47
hypocenterC47#61678
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #532 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. #20257815C2semidirect
2. #20255604C2semidirect
3. #20255589C2semidirect
4. #20255529C2semidirect
5. #20255484C2semidirect
6. #20255409C2semidirect
7. #20255364C2semidirect
8. #20255238C2semidirect
9. #20255223C2semidirect
10. #20255091C2semidirect
11. #20255069C2semidirect
12. #20255015C2semidirect
13. #20254995C2semidirect
14. #20254939C2semidirect
15. #20254914C2semidirect
16. #20254879C2semidirect
17. #20254864C2semidirect
18. #20254425C2semidirect
19. #20254364C2semidirect
20. #20254294C2semidirect
21. #20254285C2semidirect
22. #20254264C2semidirect
23. #20254234C2semidirect
24. #20253526C2semidirect
25. #20253435C2semidirect
26. #20252692C2semidirect
27. #20252692C2semidirect
28. #20252665C2semidirect
29. #20252656C2semidirect
30. #20252464C2semidirect
31. C47×#3496C2semidirect
32. C2×#13094054C22semidirect
33. C2×#13094050C22semidirect
34. C2×#13094050C22semidirect
35. C2×#13094049C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094044C22semidirect
38. C22×#10625335C22semidirect
39. C22×#10625334C22semidirect
43. #15689819C22semidirect
44. #15689819C22semidirect
45. #15689813C22semidirect
46. #15689813C22semidirect
48. #15689782C22semidirect
49. #15689782C22semidirect
50. #15689769C22semidirect
51. #15689769C22semidirect
56. #15689701C22semidirect
57. #15689701C22semidirect
58. #15689694C22semidirect
59. #15689687C22semidirect
60. #15689657C22semidirect
61. #15689657C22semidirect
62. #15689515C22semidirect
63. #15689510C22semidirect
64. #15689505C22semidirect
65. #15689505C22semidirect
66. #15689491C22semidirect
67. #15689487C22semidirect
68. #15689477C22semidirect
69. #15689477C22semidirect
70. #15689461C22semidirect
71. #15689461C22semidirect
72. #15689458C22semidirect
73. #15689456C22semidirect
74. #15689453C22semidirect
75. #15689451C22semidirect
76. #15689444C22semidirect
77. #15689444C22semidirect
78. #15689441C22semidirect
79. #15689439C22semidirect
80. #15689436C22semidirect
81. #15689434C22semidirect
82. #15689423C22semidirect
83. #15689423C22semidirect
84. #15689423C22semidirect
85. #15689423C22semidirect
86. #15689379C22semidirect
87. #15689379C22semidirect
88. #15689374C22semidirect
89. #15689374C22semidirect
90. #15689371C22semidirect
91. #15689371C22semidirect
92. #15689367C22semidirect
93. #15689367C22semidirect
94. #15689362C22semidirect
95. #15689362C22semidirect
96. #15689357C22semidirect
97. #15689357C22semidirect
98. #15689354C22semidirect
99. #15689354C22semidirect
100. #15689350C22semidirect
101. #15689350C22semidirect
102. #15689342C22semidirect
103. #15689342C22semidirect
104. #15689338C22semidirect
105. #15689338C22semidirect
106. #15689338C22semidirect
107. #15689338C22semidirect
108. #15689335C22semidirect
109. #15689335C22semidirect
110. #15689330C22semidirect
111. #15689325C22semidirect
112. #15689320C22semidirect
113. #15689315C22semidirect
114. #15689285C22semidirect
115. #15689285C22semidirect
116. #15689285C22semidirect
117. #15689285C22semidirect
118. #15689285C22semidirect
119. #15689285C22semidirect
120. #15689285C22semidirect
121. #15689285C22semidirect
122. #15689283C22semidirect
123. #15689283C22semidirect
124. #15689278C22semidirect
125. #15689274C22semidirect
126. #15689274C22semidirect
127. #15689274C22semidirect
128. #15689274C22semidirect
129. #15689274C22semidirect
130. #15689274C22semidirect
131. #15689273C22semidirect
132. #15689268C22semidirect
133. #15689268C22semidirect
134. #15689268C22semidirect
135. #15689268C22semidirect
136. #15689268C22semidirect
137. #15689268C22semidirect
138. #15689268C22semidirect
139. #15689268C22semidirect
140. #15689266C22semidirect
141. #15689266C22semidirect
142. #15689261C22semidirect
145. #15689257C22semidirect
146. #15689257C22semidirect
147. #15689257C22semidirect
148. #15689257C22semidirect
149. #15689256C22semidirect
150. #15689233C22semidirect
151. #15689233C22semidirect
152. #15689223C22semidirect
153. #15689223C22semidirect
154. C4×#10625335C22semidirect
155. C4×#10625335C22semidirect
156. C4×#10625334C22semidirect
157. C4×#10625334C22semidirect
158. #15689201C22semidirect
159. #15689201C22semidirect
160. #15689195C22semidirect
161. #15689195C22semidirect
162. #15689195C22semidirect
163. #15689195C22semidirect
164. D4×C47⋊C8C22semidirect
165. D4×C47⋊C8C22semidirect
166. #15689180C22semidirect
167. #15689176C22semidirect
168. #15689128C22semidirect
169. #15689128C22semidirect
170. #15689124C22semidirect
171. #15689124C22semidirect
172. #15689119C22semidirect
173. #15689119C22semidirect
174. C2×#13093945C22semidirect
175. C2×#13093945C22semidirect
176. #15689090C22semidirect
177. #15689090C22semidirect
178. #15689090C22semidirect
179. #15689090C22semidirect
181. C2×H(5,𝔽2)×C47C22semidirect
184. C47×#547C22semidirect
189. C47×#546C22semidirect
190. C47×#546C22semidirect
193. D42×C47C22semidirect
195. C47×#537C22semidirect
199. C47×#532C22semidirect
202. C2×C4×D4×C47C22semidirect
947. #3496D47semidirect
992. C2×H(5,𝔽2)C2×D47semidirect
1013. #547C2×D47semidirect
1020. #546C2×D47semidirect
1021. #546C2×D47semidirect
1024. D42C2×D47semidirect
1032. #537C2×D47semidirect
1038. #532C2×D47semidirect
1043. C2×C4×D4C2×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
#202556042
#202555892
#202555292
#202554842
#202554092
#202553642
#202552382
#202552232
#202550912
#202550692
#202550152
#202549952
#202549392
#202549142
#202548792
#202548642
#202544252
#202543642
#202542942
#202542852
#202542642
#202542342
#202535262
#202534352
#202526922
#202526652
#202526562
#202524642
C47×#34962
#6167847