Finite Group Databasebeta

← #27102517

Subgroups — #27102517

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#20257704C211yesmaximal, characteristic, complemented
2#20255544C211yesmaximal, characteristic, complemented
3#20255409C211yesmaximal, characteristic, complemented
4#20255394C211yesmaximal, characteristic, complemented
5#20255379C211yesmaximal, characteristic, complemented
6#20255338C211yesmaximal, characteristic, complemented
7#20255275C211yesmaximal, characteristic, complemented
8#20255238C211yesmaximal, characteristic, complemented
9#20255201C211yesmaximal, characteristic, complemented
10#20255144C211yesmaximal, characteristic, complemented
11#20255096C211yesmaximal, characteristic, complemented
12#20255069C211yesmaximal, characteristic, complemented
13D4×#10625334C211yesmaximal, characteristic, complemented
14#20254929C211yesmaximal, characteristic, complemented
15#20254924C211yesmaximal, characteristic, complemented
16#20254884C211yesmaximal, characteristic, complemented
17#20254864C211yesmaximal, characteristic, complemented
18#20254482C211yesmaximal, characteristic, complemented
19#20254438C211yesmaximal, characteristic, complemented
20#20254285C211yesmaximal, characteristic, complemented
21#20254234C211yesmaximal, characteristic, complemented
22#20254153C211yesmaximal, characteristic, complemented
23#20254136C211yesmaximal, characteristic, complemented
24#20253650C211yesmaximal, characteristic, complemented
25#20253587C211yesmaximal, characteristic, complemented
26#20252692C211yesmaximal, characteristic, complemented
27#20252656C211yesmaximal, characteristic, complemented
28#20252606C211yesmaximal, characteristic, complemented
29C2×#15689268C211yesmaximal, characteristic, complemented
30#20252444C211yesmaximal, characteristic, complemented
31C47×#3488C211yesmaximal, characteristic, complemented
32C2×#13094050C2211yescharacteristic, complemented
33C2×#13094049C2211yescharacteristic, complemented
34C2×#13094044C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C22×#10625336C2211yescharacteristic, complemented
38C22×#10625334C2211yescharacteristic, complemented
39C22×#10625334C2211yescharacteristic, complemented
40#15689869—21no—
41#15689861—21no—
42#15689838C2211yescharacteristic, complemented
43#15689819C2211yescharacteristic, complemented
44#15689813C2211yescharacteristic, complemented
45#15689800—21no—
46#15689794C2211yescharacteristic, complemented
47#15689777C2211yescharacteristic, complemented
48#15689769C2211yescharacteristic, complemented
49#15689769C2211yescharacteristic, complemented
50#15689762—21no—
51D4×D188C2211yescharacteristic, complemented
52#15689744C2211yescharacteristic, complemented
53#15689728C2211yescharacteristic, complemented
54#15689725—21no—
55#15689709—21no—
56#15689701C2211yescharacteristic, complemented
57#15689688—21no—
58#15689687C2211yescharacteristic, complemented
59#15689683—21no—
60#15689634C2211yescharacteristic, complemented
61C2×#13093998C2211yescharacteristic, complemented
62#15689513C2211yescharacteristic, complemented
63#15689510C2211yescharacteristic, complemented
64#15689505C2211yescharacteristic, complemented
65#15689499C2211yescharacteristic, complemented
66#15689487C2211yescharacteristic, complemented
67#15689482C2211yescharacteristic, complemented
68#15689477C2211yescharacteristic, complemented
69#15689469C2211yescharacteristic, complemented
70#15689461C2211yescharacteristic, complemented
71#15689458C2211yescharacteristic, complemented
72#15689456C2211yescharacteristic, complemented
73#15689444C2211yescharacteristic, complemented
74#15689444C2211yescharacteristic, complemented
75#15689444C2211yescharacteristic, complemented
76#15689441C2211yescharacteristic, complemented
77#15689436C2211yescharacteristic, complemented
78#15689436C2211yescharacteristic, complemented
79#15689434C2211yescharacteristic, complemented
80#15689434C2211yescharacteristic, complemented
81#15689434C2211yescharacteristic, complemented
82#15689430C2211yescharacteristic, complemented
83#15689423C2211yescharacteristic, complemented
84#15689418C2211yescharacteristic, complemented
85#15689403C2211yescharacteristic, complemented
86#15689374C2211yescharacteristic, complemented
87#15689371C2211yescharacteristic, complemented
88#15689371C2211yescharacteristic, complemented
89#15689367C2211yescharacteristic, complemented
90#15689362C2211yescharacteristic, complemented
91#15689357C2211yescharacteristic, complemented
92#15689357C2211yescharacteristic, complemented
93#15689357C2211yescharacteristic, complemented
94#15689357C2211yescharacteristic, complemented
95#15689357C2211yescharacteristic, complemented
96#15689357C2211yescharacteristic, complemented
97#15689357C2211yescharacteristic, complemented
98#15689357C2211yescharacteristic, complemented
99#15689354C2211yescharacteristic, complemented
100#15689350C2211yescharacteristic, complemented
101#15689350C2211yescharacteristic, complemented
102#15689345C2211yescharacteristic, complemented
103#15689342C2211yescharacteristic, complemented
104#15689338C2211yescharacteristic, complemented
105#15689335C2211yescharacteristic, complemented
106#15689335C2211yescharacteristic, complemented
107#15689335C2211yescharacteristic, complemented
108#15689323C2211yescharacteristic, complemented
109#15689320C2211yescharacteristic, complemented
110#15689318C2211yescharacteristic, complemented
111#15689315C2211yescharacteristic, complemented
112#15689315C2211yescharacteristic, complemented
113#15689315C2211yescharacteristic, complemented
114#15689285C2211yescharacteristic, complemented
115#15689285C2211yescharacteristic, complemented
116#15689285C2211yescharacteristic, complemented
117#15689283C2211yescharacteristic, complemented
118#15689279C2211yescharacteristic, complemented
119#15689274C2211yescharacteristic, complemented
120#15689274C2211yescharacteristic, complemented
121#15689274C2211yescharacteristic, complemented
122#15689273C2211yescharacteristic, complemented
123#15689268C2211yescharacteristic
124#15689268C2211yescharacteristic, complemented
125#15689268C2211yescharacteristic, complemented
126#15689268C2211yescharacteristic, complemented
127#15689268C2211yescharacteristic, complemented
128#15689268C2211yescharacteristic, complemented
129#15689268C2211yescharacteristic, complemented
130#15689268C2211yescharacteristic, complemented
131#15689268C2211yescharacteristic, complemented
132#15689268C2211yescharacteristic, complemented
133#15689268C2211yescharacteristic, complemented
134#15689268C2211yescharacteristic, complemented
135#15689268C2211yescharacteristic, complemented
136#15689266C2211yescharacteristic, complemented
137#15689266C2211yescharacteristic, complemented
138#15689266C2211yescharacteristic, complemented
139#15689262C2211yescharacteristic, complemented
140#15689257C2211yescharacteristic, complemented
141#15689257C2211yescharacteristic, complemented
142#15689257C2211yescharacteristic, complemented
143#15689257C2211yescharacteristic, complemented
144#15689257C2211yescharacteristic, complemented
145#15689257C2211yescharacteristic, complemented
146#15689257C2211yescharacteristic, complemented
147#15689256C2211yescharacteristic, complemented
148#15689256C2211yescharacteristic, complemented
149#15689256C2211yescharacteristic, complemented
150#15689233C2211yescharacteristic, complemented
151#15689223C2211yescharacteristic, complemented
152#15689221C2211yescharacteristic, complemented
153#15689221C2211yescharacteristic, complemented
154C4×#10625337C2211yescharacteristic, complemented
155C4×#10625336C2211yescharacteristic, complemented
156C4×#10625334C2211yescharacteristic, complemented
157C4×#10625334C2211yescharacteristic, complemented
158#15689195C2211yescharacteristic, complemented
159#15689195C2211yescharacteristic, complemented
160#15689195C2211yescharacteristic, complemented
161#15689195C2211yescharacteristic, complemented
162D4×C47⋊C8C2211yescharacteristic, complemented
163D4×C47⋊C8C2211yescharacteristic, complemented
164D4×C47⋊C8C2211yescharacteristic, complemented
165D4×C47⋊C8C2211yescharacteristic, complemented
166#15689184C2211yescharacteristic, complemented
167#15689184C2211yescharacteristic, complemented
168#15689128C2211yescharacteristic, complemented
169#15689124C2211yescharacteristic, complemented
170#15689119C2211yescharacteristic, complemented
171#15689119C2211yescharacteristic, complemented
172#15689119C2211yescharacteristic, complemented
173C2×#13093948C2211yescharacteristic, complemented
174C2×#13093945C2211yescharacteristic, complemented
175C2×#13093945C2211yescharacteristic, complemented
176#15689090C2211yescharacteristic, complemented
177#15689090C2211yescharacteristic, complemented
178C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C47C2211yescharacteristic, complemented
181C22×#41×C47C2211yescharacteristic, complemented
182C47×#550C2211yescharacteristic, complemented
183C47×#550C2211yescharacteristic, complemented
184C47×#548C2211yescharacteristic
185C47×#548C2211yescharacteristic, complemented
186C47×#546—21no—
187C47×#546—21no—
188C47×#546C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic, complemented
190D42×C47—21no—
191D42×C47—21no—
192D42×C47C2211yescharacteristic
193D42×C47C2211yescharacteristic, complemented
194C47×#537—21no—
195C47×#537C2211yescharacteristic, complemented
196C47×#535—21no—
197C47×#535C2211yescharacteristic, complemented
198C47×#525—21no—
199C47×#525C2211yescharacteristic
200C2×#121×C47—21no—
201C2×#121×C47C2211yescharacteristic, complemented
202C47×#520C2211yescharacteristic, complemented
203C2×#10625350C2311yescharacteristic
204C2×#10625350C2311yescharacteristic
205C2×#10625352—21no—
206C22×D188C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C22×C22⋊D47—21no—
209C2×D4×D47—21no—
210#13094050—42no—
211#13094049—42no—
212#13094044—42no—
213#13094044—42no—
214#13094044—42no—
215C2×#10625337C2311yescharacteristic
216C2×#10625337C2311yescharacteristic
217C2×#10625335C2311yescharacteristic
218C2×#10625335C2311yescharacteristic
219C2×#10625335C2311yescharacteristic
220C2×#10625335C2311yescharacteristic
221C2×#10625336—42no—
222C2×#10625336C2311yescharacteristic
223C2×#10625336C2311yescharacteristic
224C2×#10625336C2311yescharacteristic
225C2×#10625336C2311yescharacteristic
226C2×#10625336C2311yescharacteristic
227C2×#10625336C2311yescharacteristic
228C2×#10625334—42no—
229C2×#10625334—42no—
230C2×#10625334C2311yescharacteristic
231C2×#10625334C2311yescharacteristic
232C2×#10625334C2311yescharacteristic
233C2×#10625334C2311yescharacteristic
234C2×#10625334C2311yescharacteristic
235C2×#10625334C2311yescharacteristic
236C2×#10625334C2311yescharacteristic
237C2×#10625334C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625329C2311yescharacteristic
243C2×#10625329C2311yescharacteristic
244C22×C47⋊C8C2311yescharacteristic
245C22×C47⋊C8C2311yescharacteristic
246C22×C47⋊C8C2311yescharacteristic
247C22×C47⋊C8C2311yescharacteristic
248C22×C47⋊C8C2311yescharacteristic
249C22×C47⋊C8C2311yescharacteristic
250#13094024C2311yescharacteristic
251#13094021C2311yescharacteristic
252#13094020—21no—
253#13094020—21no—
254#13094019—21no—
255#13094019—21no—
256#13094017—21no—
257#13094016C2311yescharacteristic
258#13094014—21no—
259#13094013—21no—
260#13094012C2311yescharacteristic
261#13094010—21no—
262#13094010—21no—
263#13094010—21no—
264#13094009—21no—
265#13094009—21no—
266#13094009—21no—
267#13094009—21no—
268#13094008—21no—
269#13094008—21no—
270#13094007—21no—
271#13094006—21no—
272#13094006—21no—
273#13094005—21no—
274#13094004—21no—
275#13094003C2311yescharacteristic
276#13094003C2311yescharacteristic
277#13094003C2311yescharacteristic
278#13094002—21no—
279#13094000—21no—
280#13093999—21no—
281#13093998—21no—
282#13093998—21no—
283#13093998C2311yescharacteristic
284#13093998C2311yescharacteristic
285#13093998C2311yescharacteristic
286#13093998C2311yescharacteristic
287#13093998C2311yescharacteristic
288#13093998C2311yescharacteristic
289#13093998C2311yescharacteristic
290#13093998C2311yescharacteristic
291#13093998C2311yescharacteristic
292#13093997—21no—
293#13093997—21no—
294#13093997—21no—
295#13093997—21no—
296#13093997—21no—
297#13093997—21no—
298#13093996—21no—
299#13093996—21no—
300#13093996—21no—
301#13093995—21no—
302#13093995—21no—
303#13093994—21no—
304#13093994—21no—
305#13093993—21no—
306#13093992—21no—
307#13093992—21no—
308#13093992—21no—
309#13093992—21no—
310C4×Dic94C2311yescharacteristic
311C4×D188C2311yescharacteristic
312C4×D188C2311yescharacteristic
313C4×D188C2311yescharacteristic
314#13093986—21no—
315C4×C22⋊D47—21no—
316C4×C22⋊D47—21no—
317(C22⋊D47)⋊C4—21no—
318#13093983C2311yescharacteristic
319#13093983C2311yescharacteristic
320#13093982—21no—
321#13093980—21no—
322C2×C4⋊Dic47C2311yescharacteristic
323C2×C4⋊Dic47C2311yescharacteristic
324C2×(C2×D47)⋊C4—21no—
325C22⋊C4×D47—21no—
326C22⋊C4×D47—21no—
327#13093957C2311yescharacteristic
328#13093957C2311yescharacteristic
329#13093957C2311yescharacteristic
330#13093957C2311yescharacteristic
331#13093957C2311yescharacteristic
332#13093957C2311yescharacteristic
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#13093945C2311yescharacteristic
350#13093945C2311yescharacteristic
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#13093944C2311yescharacteristic
366#13093944C2311yescharacteristic
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—
389C2×#41×C47—21no—
390C2×#41×C47—21no—
391C2×#41×C47—21no—
392C2×#41×C47—42no—
393C2×#41×C47—42no—
394C2×#41×C47C2311yescharacteristic
395C2×#41×C47C2311yescharacteristic
396C2×#41×C47C2311yescharacteristic
397C2×#41×C47C2311yescharacteristic
398C2×#41×C47C2311yescharacteristic
399C2×#41×C47C2311yescharacteristic
400C2×#41×C47C2311yescharacteristic
401C22×Q8×C47C2311yescharacteristic
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
413C23×C4×C47—21no—
414C23×C4×C47C2311yescharacteristic
415#127×C47—21no—
416#127×C47—21no—
417#127×C47C2311yescharacteristic
418#127×C47C2311yescharacteristic
419#124×C47—21no—
420#124×C47—21no—
421#124×C47C2311yescharacteristic
422#124×C47C2311yescharacteristic
423#123×C47—21no—
424#123×C47—21no—
425#123×C47D411yescharacteristic
426#123×C47D411yescharacteristic
427C22⋊Q8×C47—21no—
428C22⋊Q8×C47—21no—
429C22⋊Q8×C47—21no—
430C22⋊Q8×C47D411yescharacteristic
431C22⋊Q8×C47D411yescharacteristic
432C22⋊Q8×C47C2311yescharacteristic
433C22⋊Q8×C47C2311yescharacteristic
434#121×C47—21no—
435#121×C47—21no—
436#121×C47—21no—
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×C47D411yescharacteristic
452#121×C47D411yescharacteristic
453#121×C47C2311yescharacteristic
454#121×C47C2311yescharacteristic
455#121×C47C2311yescharacteristic
456#121×C47C2311yescharacteristic
457#121×C47C2311yescharacteristic
458#121×C47C2311yescharacteristic
459#120×C47—21no—
460#120×C47—21no—
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×C47D411yescharacteristic
468#120×C47D411yescharacteristic
469C4×Q8×C47C2311yescharacteristic
470C4×Q8×C47C2311yescharacteristic
471C4×D4×C47—21no—
472C4×D4×C47—21no—
473C4×D4×C47—21no—
474C4×D4×C47—21no—
475C4×D4×C47—21no—
476C4×D4×C47—21no—
477C4×D4×C47C2311yescharacteristic
478C4×D4×C47C2311yescharacteristic
479C4×D4×C47C2311yescharacteristic
480C4×D4×C47C2311yescharacteristic
481C4×D4×C47C2311yescharacteristic
482C4×D4×C47C2311yescharacteristic
483#117×C47—21no—
484#117×C47C2311yescharacteristic
485C2×C4⋊C4×C47—21no—
486C2×C4⋊C4×C47C2311yescharacteristic
487C2×C22⋊C4×C47—21no—
488C2×C22⋊C4×C47—21no—
489C2×C22⋊C4×C47—21no—
490C24×C47—21no—
491C24×C47—21no—
492C24×C47—21no—
493C24×C47—21no—
494C24×C47C2×D411yescharacteristic
495C23×D47—21no—
496C23×D47—21no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—22no—
500#41×C47—22no—
501#41×C47—22no—
502#41×C47—22no—
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—44no—
512#41×C47—44no—
513#41×C47—44no—
514C2×Q8×C47—21no—
515C2×Q8×C47—22no—
516C2×Q8×C47—41no—
517C2×Q8×C47C2×D411yescharacteristic
518C2×Q8×C47C2411yescharacteristic
519C2×Q8×C47C2411yescharacteristic
520C2×D4×C47—21no—
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—21no—
542C2×D4×C47—21no—
543C2×D4×C47—41no—
544C2×D4×C47—41no—
545C2×D4×C47—41no—
546C2×D4×C47—41no—
547C2×D4×C47—41no—
548C2×D4×C47—44no—
549C2×D4×C47—44no—
550C2×D4×C47—44no—
551C2×D4×C47—44no—
552C2×D4×C47—82no—
553C2×D4×C47—82no—
554C2×D4×C47—82no—
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×C47C2411yescharacteristic
563C2×D4×C47C2411yescharacteristic
564C2×D4×C47C2411yescharacteristic
565C2×D4×C47C2411yescharacteristic
566C22×C4×C47—21no—
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—41no—
577C22×C4×C47—41no—
578C22×C4×C47—44no—
579C22×C4×C47C2×D411yescharacteristic
580C22×C4×C47C2×D411yescharacteristic
581C22×C4×C47C2×D411yescharacteristic
582C22×C4×C47C2411yescharacteristic
583C22×C4×C47C2411yescharacteristic
584C22×C4×C47C2411yescharacteristic
585C22×C4×C47C2411yescharacteristic
586C22×C4×C47C2411yescharacteristic
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—
594C2×C22⋊D47—21no—
595C2×C22⋊D47—21no—
596C2×C22⋊D47—21no—
597C2×C22⋊D47—21no—
598C2×C22⋊D47—82no—
599C22×Dic47—21no—
600C22×Dic47—21no—
601#10625352—82no—
602D4×D47—82no—
603#10625350—41no—
604#10625350—41no—
605#10625350—41no—
606#10625350—41no—
607C2×D188—21no—
608C2×D188—21no—
609C2×D188—21no—
610C2×D188—21no—
611C2×D188—41no—
612C2×D188—41no—
613C2×D188—41no—
614C2×D188—41no—
615C2×D188C2411yescharacteristic
616C2×D188C2411yescharacteristic
617C2×D188C2411yescharacteristic
618C2×C4×D47—21no—
619C2×C4×D47—21no—
620C2×C4×D47—21no—
621C2×C4×D47—21no—
622C2×C4×D47—21no—
623C2×Dic94—21no—
624C2×Dic94C2411yescharacteristic
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47C2×D411yescharacteristic
631C4⋊C4×C47C2×D411yescharacteristic
632C4⋊C4×C47C2×D411yescharacteristic
633C4⋊C4×C47C2×D411yescharacteristic
634C4⋊C4×C47C2×D411yescharacteristic
635C4⋊C4×C47C2×D411yescharacteristic
636C4⋊C4×C47C2411yescharacteristic
637C4⋊C4×C47C2411yescharacteristic
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×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×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C22⋊C4×C47C2×D411yescharacteristic
655C22⋊C4×C47C2×D411yescharacteristic
656C22⋊C4×C47C2×D411yescharacteristic
657C22⋊C4×C47C2×D411yescharacteristic
658C22⋊C4×C47C2×D411yescharacteristic
659C22⋊C4×C47C2×D411yescharacteristic
660C22⋊C4×C47C2×D411yescharacteristic
661C22⋊C4×C47C2×D411yescharacteristic
662C42×C47—21no—
663C42×C47—21no—
664C42×C47C2411yescharacteristic
665C42×C47C2411yescharacteristic
666C22⋊Dic47—21no—
667C22⋊Dic47—21no—
668C22⋊Dic47—21no—
669C22⋊Dic47—21no—
670C22⋊Dic47—21no—
671#10625337—22no—
672#10625337—41no—
673#10625336—22no—
674#10625336—22no—
675#10625336—22no—
676#10625336—41no—
677#10625336—41no—
678#10625336—41no—
679#10625335—22no—
680#10625335—41no—
681#10625335—41no—
682#10625335—41no—
683#10625334—22no—
684#10625334—22no—
685#10625334—22no—
686#10625334—41no—
687#10625334—41no—
688#10625334—41no—
689#10625334—41no—
690#10625334—41no—
691#10625334—41no—
692#10625334—41no—
693#10625334—41no—
694#10625334—41no—
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—
700(C2×D47)⋊C4—21no—
701(C2×D47)⋊C4—21no—
702(C2×D47)⋊C4—21no—
703(C2×D47)⋊C4—21no—
704(C2×D47)⋊C4—21no—
705(C2×D47)⋊C4—21no—
706(C2×D47)⋊C4—21no—
707(C2×D47)⋊C4—21no—
708(C2×D47)⋊C4—21no—
709C4⋊Dic47—21no—
710C4⋊Dic47—21no—
711C4⋊Dic47—21no—
712C4⋊Dic47C2411yescharacteristic
713C4⋊Dic47C2411yescharacteristic
714C4⋊Dic47C2411yescharacteristic
715C4⋊Dic47C2411yescharacteristic
716Dic47⋊C4—21no—
717Dic47⋊C4—21no—
718Dic47⋊C4—21no—
719Dic47⋊C4—21no—
720Dic47⋊C4—21no—
721Dic47⋊C4—21no—
722C4×Dic47—21no—
723C4×Dic47—21no—
724C4×Dic47—21no—
725#10625329—41no—
726#10625329—41no—
727C2×C47⋊C8—41no—
728C2×C47⋊C8—41no—
729C2×C47⋊C8—41no—
730C2×C47⋊C8—41no—
731C2×C47⋊C8—41no—
732C2×C47⋊C8—41no—
733C2×C47⋊C8C2411yescharacteristic
734C2×C47⋊C8C2411yescharacteristic
735C2×C47⋊C8C2411yescharacteristic
736C2×C47⋊C8C2411yescharacteristic
737C2×C47⋊C8C2411yescharacteristic
738C2×C47⋊C8C2411yescharacteristic
739C2×C47⋊C8C2411yescharacteristic
740C2×C47⋊C8C2411yescharacteristic
741C23×C47—21no—
742C23×C47—22no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—21no—
746C23×C47—41no—
747C23×C47—41no—
748C23×C47—42no—
749C23×C47—42no—
750C23×C47—42no—
751C23×C47—42no—
752C23×C47—42no—
753C23×C47—81no—
754C23×C47—81no—
755C23×C47—81no—
756C23×C47—81no—
757C23×C47—81no—
758C23×C47—81no—
759C23×C47—81no—
760C23×C47C22×D411yescharacteristic
761C23×C47C22×D411yescharacteristic
762C23×C47C22×D411yescharacteristic
763C23×C47C22×D411yescharacteristic
764C23×C47C22×D411yescharacteristic
765C22×D47—21no—
766C22×D47—21no—
767C22×D47—21no—
768C22×D47—42no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47—81no—
773C22×D47—81no—
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—41no—
778Q8×C47—42no—
779Q8×C47H(5,𝔽2)12yes—
780D4×C47—24no—
781D4×C47—22no—
782D4×C47—22no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—21no—
787D4×C47—21no—
788D4×C47—21no—
789D4×C47—21no—
790D4×C47—41no—
791D4×C47—41no—
792D4×C47—41no—
793D4×C47—41no—
794D4×C47—41no—
795D4×C47—42no—
796D4×C47—42no—
797D4×C47—42no—
798D4×C47—42no—
799D4×C47—42no—
800D4×C47—42no—
801D4×C47—42no—
802D4×C47—42no—
803D4×C47—42no—
804D4×C47—42no—
805D4×C47—42no—
806D4×C47—81no—
807D4×C47—81no—
808D4×C47—81no—
809D4×C47—81no—
810D4×C47—81no—
811D4×C47—81no—
812D4×C47—81no—
813D4×C47—81no—
814D4×C47H(5,𝔽2)12yes—
815C2×C4×C47—24no—
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—21no—
823C2×C4×C47—21no—
824C2×C4×C47—21no—
825C2×C4×C47—21no—
826C2×C4×C47—21no—
827C2×C4×C47—21no—
828C2×C4×C47—21no—
829C2×C4×C47—21no—
830C2×C4×C47—41no—
831C2×C4×C47—41no—
832C2×C4×C47—41no—
833C2×C4×C47—42no—
834C2×C4×C47—42no—
835C2×C4×C47—42no—
836C2×C4×C47—42no—
837C2×C4×C47—42no—
838C2×C4×C47—42no—
839C2×C4×C47—81no—
840C2×C4×C47—81no—
841C2×C4×C47—81no—
842C2×C4×C47C22×D411yescharacteristic
843C2×C4×C47C22×D411yescharacteristic
844C2×C4×C47C22×D411yescharacteristic
845C2×C4×C47C22×D411yescharacteristic
846C2×C4×C47C22×D411yescharacteristic
847C2×C4×C47C22×D411yescharacteristic
848C2×C4×C47C22×D411yescharacteristic
849C2×C4×C47C22×D411yescharacteristic
850C2×C4×C47C22×D411yescharacteristic
851C2×C4×C47C2511yescharacteristic
852C22⋊D47—42no—
853C22⋊D47—81no—
854C22⋊D47—81no—
855C22⋊D47—81no—
856C22⋊D47—81no—
857C22⋊D47—81no—
858C22⋊D47—81no—
859C22⋊D47—81no—
860C22⋊D47—81no—
861C22⋊D47—81no—
862C22⋊D47—81no—
863C2×Dic47—21no—
864C2×Dic47—21no—
865C2×Dic47—21no—
866C2×Dic47—21no—
867C2×Dic47—21no—
868C2×Dic47—42no—
869C2×Dic47—81no—
870D188—21no—
871D188—21no—
872D188—21no—
873D188—21no—
874D188—21no—
875D188—21no—
876D188—81no—
877D188—81no—
878D188—81no—
879D188—81no—
880C4×D47—81no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884C4×D47—81no—
885Dic94—21no—
886Dic94—21no—
887Dic94—81no—
888C47⋊C8—21no—
889C47⋊C8—21no—
890C47⋊C8—21no—
891C47⋊C8—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—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—21no—
905C22×C47—21no—
906C22×C47—22no—
907C22×C47—21no—
908C22×C47—21no—
909C22×C47—21no—
910C22×C47—21no—
911C22×C47—21no—
912C22×C47—41no—
913C22×C47—41no—
914C22×C47—41no—
915C22×C47—41no—
916C22×C47—41no—
917C22×C47—41no—
918C22×C47—41no—
919C22×C47—41no—
920C22×C47—41no—
921C22×C47—41no—
922C22×C47—41no—
923C22×C47—82no—
924C22×C47—84no—
925C22×C47—162no—
926C22×C47—162no—
927C22×C47—162no—
928C22×C47#57612yes—
929C22×C47C23×D411yescharacteristic
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—41no—
938C2×D47—41no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—21no—
947C4×C47—21no—
948C4×C47—22no—
949C4×C47—21no—
950C4×C47—21no—
951C4×C47—41no—
952C4×C47—41no—
953C4×C47—41no—
954C4×C47C2×H(5,𝔽2)11yescharacteristic
955C4×C47C2×H(5,𝔽2)11yescharacteristic
956Dic47—41no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488D4711yescharacteristic, complemented
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#3224—471no—
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—22no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—41no—
996C2×C47—41no—
997C2×C47—42no—
998C2×C47—81no—
999C2×C47—81no—
1000C2×C47—81no—
1001C2×C47#348411yescharacteristic
1002C2×C47C2×#57611yescharacteristic
1003C2×C47#358411yescharacteristic
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)C2×D4711yescharacteristic, complemented
1008C22×#41C2×D4711yescharacteristic, complemented
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#550C2×D4711yescharacteristic, complemented
1025#550C2×D4711yescharacteristic, complemented
1026#548C2×D4711yescharacteristic
1027#548C2×D4711yescharacteristic, complemented
1028#547—471no—
1029#546—21no—
1030#546—21no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546C2×D4711yescharacteristic, complemented
1035#546C2×D4711yescharacteristic, complemented
1036D42—21no—
1037D42—21no—
1038D42—471no—
1039D42C2×D4711yescharacteristic
1040D42C2×D4711yescharacteristic, complemented
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—21no—
1046#537—471no—
1047#537C2×D4711yescharacteristic, complemented
1048#535—21no—
1049#535—471no—
1050#535—941no—
1051#535C2×D4711yescharacteristic, complemented
1052#534—941no—
1053#525—21no—
1054#525—471no—
1055#525C2×D4711yescharacteristic
1056C2×#121—21no—
1057C2×#121—471no—
1058C2×#121C2×D4711yescharacteristic, complemented
1059#520C2×D4711yescharacteristic, complemented
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
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#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
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#449—471no—
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#447—471no—
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#433—471no—
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)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—21no—
1184C2×#41—42no—
1185C2×#41—42no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—941no—
1189C2×#41C22×D4711yescharacteristic
1190C2×#41C22×D4711yescharacteristic
1191C2×#41C22×D4711yescharacteristic
1192C2×#41C22×D4711yescharacteristic
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8C22×D4711yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—21no—
1201C22×D4—21no—
1202C22×D4—21no—
1203C22×D4—21no—
1204C22×D4—471no—
1205C22×D4—471no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4C22×D4711yescharacteristic
1209C22×D4C22×D4711yescharacteristic
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—21no—
1213C23×C4C22×D4711yescharacteristic
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16—471no—
1230C2×SD16—471no—
1231C2×SD16—1882no—
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—471no—
1242C2×D8—471no—
1243C2×D8—471no—
1244C2×D8—1882no—
1245C2×D8—1882no—
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⋊Q8—471no—
1255#127—21no—
1256#127—21no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127C22×D4711yescharacteristic
1261#127C22×D4711yescharacteristic
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—21no—
1268#124—21no—
1269#124—471no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124C22×D4711yescharacteristic
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—941no—
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#123C22⋊D4711yescharacteristic
1289#123C22⋊D4711yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—471no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8C22⋊D4711yescharacteristic
1300C22⋊Q8C22⋊D4711yescharacteristic
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
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—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—471no—
1321#121—471no—
1322#121—471no—
1323#121—471no—
1324#121—471no—
1325#121—471no—
1326#121—471no—
1327#121—471no—
1328#121—471no—
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#121C22⋊D4711yescharacteristic
1344#121C22⋊D4711yescharacteristic
1345#121C22×D4711yescharacteristic
1346#121C22×D4711yescharacteristic
1347#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120C22⋊D4711yescharacteristic
1367#120C22⋊D4711yescharacteristic
1368C4×Q8—471no—
1369C4×Q8C22×D4711yescharacteristic
1370C4×Q8C22×D4711yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4—21no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4C22×D4711yescharacteristic
1385C4×D4C22×D4711yescharacteristic
1386C4×D4C22×D4711yescharacteristic
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—21no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—21no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4C22×D4711yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—21no—
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⋊C8—471no—
1417C4⋊C8—471no—
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#103—471no—
1427#103—471no—
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#102—471no—
1445#102—471no—
1446#102—471no—
1447#102—471no—
1448#102—471no—
1449#102—471no—
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⋊C8—471no—
1461C22⋊C8—471no—
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—941no—
1471C24—941no—
1472C24C2×C22⋊D4711yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—22no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—44no—
1488#41—44no—
1489#41—44no—
1490#41—3762no—
1491#41—1881no—
1492#41—1881no—
1493#41—1881no—
1494#41—1881no—
1495C2×Q8—21no—
1496C2×Q8—22no—
1497C2×Q8—41no—
1498C2×Q8—471no—
1499C2×Q8—941no—
1500C2×Q8C2×C22⋊D4711yescharacteristic
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—44no—
1532C2×D4—44no—
1533C2×D4—44no—
1534C2×D4—44no—
1535C2×D4—82no—
1536C2×D4—82no—
1537C2×D4—82no—
1538C2×D4—471no—
1539C2×D4—471no—
1540C2×D4—471no—
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—941no—
1554C2×D4—941no—
1555C2×D4—941no—
1556C2×D4—3762no—
1557C2×D4—3762no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4C2×C22⋊D4711yescharacteristic
1563C2×D4C2×C22⋊D4711yescharacteristic
1564C2×D4C2×C22⋊D4711yescharacteristic
1565C2×D4C2×C22⋊D4711yescharacteristic
1566C2×D4C2×C22⋊D4711yescharacteristic
1567C2×D4C2×C22⋊D4711yescharacteristic
1568C2×D4C2×C22⋊D4711yescharacteristic
1569C2×D4C23×D4711yescharacteristic
1570C2×D4C23×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—44no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—941no—
1593C22×C4C2×C22⋊D4711yescharacteristic
1594C22×C4C2×C22⋊D4711yescharacteristic
1595C22×C4C2×C22⋊D4711yescharacteristic
1596C22×C4C23×D4711yescharacteristic
1597C22×C4C23×D4711yescharacteristic
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—942no—
1604SD16—942no—
1605SD16—942no—
1606SD16—942no—
1607SD16—1881no—
1608SD16—1881no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—942no—
1614D8—942no—
1615D8—942no—
1616D8—1881no—
1617D8—1881no—
1618D8—1881no—
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—471no—
1632C2×C8—471no—
1633C2×C8—471no—
1634C2×C8—471no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8—1881no—
1638C2×C8—1881no—
1639C2×C8—1881no—
1640C2×C8—1881no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—941no—
1651C4⋊C4—941no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4C2×C22⋊D4711yescharacteristic
1660C4⋊C4C2×C22⋊D4711yescharacteristic
1661C4⋊C4C2×C22⋊D4711yescharacteristic
1662C4⋊C4C2×C22⋊D4711yescharacteristic
1663C4⋊C4C2×C22⋊D4711yescharacteristic
1664C4⋊C4C2×C22⋊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—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
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⋊C4C2×C22⋊D4711yescharacteristic
1701C22⋊C4C2×C22⋊D4711yescharacteristic
1702C22⋊C4C2×C22⋊D4711yescharacteristic
1703C22⋊C4C2×C22⋊D4711yescharacteristic
1704C22⋊C4C2×C22⋊D4711yescharacteristic
1705C22⋊C4C2×C22⋊D4711yescharacteristic
1706C22⋊C4C2×C22⋊D4711yescharacteristic
1707C22⋊C4C2×C22⋊D4711yescharacteristic
1708C22⋊C4C2×C22⋊D4711yescharacteristic
1709C22⋊C4C2×C22⋊D4711yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42C23×D4711yescharacteristic
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—41no—
1723C23—41no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—42no—
1728C23—42no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23—81no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—941no—
1737C23—941no—
1738C23—941no—
1739C23—3761no—
1740C23—3761no—
1741C23—3761no—
1742C23—3761no—
1743C23—3761no—
1744C23—1882no—
1745C23C22×C22⋊D4711yescharacteristic
1746C23C22×C22⋊D4711yescharacteristic
1747C23C22×C22⋊D4711yescharacteristic
1748C23C22×C22⋊D4711yescharacteristic
1749C23C22×C22⋊D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—41no—
1754Q8—42no—
1755Q8—941no—
1756Q8—941no—
1757Q8—3761no—
1758Q8#1309406912yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—41no—
1770D4—41no—
1771D4—41no—
1772D4—41no—
1773D4—41no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—42no—
1778D4—42no—
1779D4—42no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—81no—
1786D4—81no—
1787D4—81no—
1788D4—81no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—941no—
1794D4—941no—
1795D4—941no—
1796D4—941no—
1797D4—941no—
1798D4—941no—
1799D4—3761no—
1800D4—3761no—
1801D4—3761no—
1802D4—3761no—
1803D4—3761no—
1804D4—3761no—
1805D4—3761no—
1806D4—3761no—
1807D4—3761no—
1808D4—3761no—
1809D4—3761no—
1810D4—3761no—
1811D4—3761no—
1812D4—3761no—
1813D4—1882no—
1814D4#1309406912yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—42no—
1834C2×C4—42no—
1835C2×C4—42no—
1836C2×C4—42no—
1837C2×C4—42no—
1838C2×C4—42no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—941no—
1846C2×C4—941no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—3761no—
1852C2×C4—3761no—
1853C2×C4—1882no—
1854C2×C4C22×C22⋊D4711yescharacteristic
1855C2×C4C22×C22⋊D4711yescharacteristic
1856C2×C4C22×C22⋊D4711yescharacteristic
1857C2×C4C22×C22⋊D4711yescharacteristic
1858C2×C4C22×C22⋊D4711yescharacteristic
1859C2×C4C22×C22⋊D4711yescharacteristic
1860C2×C4C22×C22⋊D4711yescharacteristic
1861C2×C4C22×C22⋊D4711yescharacteristic
1862C2×C4C22×C22⋊D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—941no—
1865C8—941no—
1866C8—941no—
1867C8—941no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—22no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—82no—
1899C22—84no—
1900C22—162no—
1901C22—162no—
1902C22—162no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—1881no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992612yes—
1915C22C23×C22⋊D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—22no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4C2×#1309406911yescharacteristic
1935C4C2×#1309406911yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—3761no—
1946C2—3761no—
1947C2—3761no—
1948C2#2025702311yescharacteristic
1949C2C2×#1568992611yescharacteristic
1950C2#2025815911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3488C2
socleC22×C47C23×D4
hypercenter#3488D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #525 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #20257704C2semidirect
2. #20255544C2semidirect
3. #20255409C2semidirect
4. #20255394C2semidirect
5. #20255379C2semidirect
6. #20255338C2semidirect
7. #20255275C2semidirect
8. #20255238C2semidirect
9. #20255201C2semidirect
10. #20255144C2semidirect
11. #20255096C2semidirect
12. #20255069C2semidirect
13. D4×#10625334C2semidirect
14. #20254929C2semidirect
15. #20254924C2semidirect
16. #20254884C2semidirect
17. #20254864C2semidirect
18. #20254482C2semidirect
19. #20254438C2semidirect
20. #20254285C2semidirect
21. #20254234C2semidirect
22. #20254153C2semidirect
23. #20254136C2semidirect
24. #20253650C2semidirect
25. #20253587C2semidirect
26. #20252692C2semidirect
27. #20252656C2semidirect
28. #20252606C2semidirect
29. C2×#15689268C2semidirect
30. #20252444C2semidirect
31. C47×#3488C2semidirect
32. C2×#13094050C22semidirect
33. C2×#13094049C22semidirect
34. C2×#13094044C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094044C22semidirect
37. C22×#10625336C22semidirect
38. C22×#10625334C22semidirect
39. C22×#10625334C22semidirect
42. #15689838C22semidirect
43. #15689819C22semidirect
44. #15689813C22semidirect
46. #15689794C22semidirect
47. #15689777C22semidirect
48. #15689769C22semidirect
49. #15689769C22semidirect
51. D4×D188C22semidirect
52. #15689744C22semidirect
53. #15689728C22semidirect
56. #15689701C22semidirect
58. #15689687C22semidirect
60. #15689634C22semidirect
61. C2×#13093998C22semidirect
62. #15689513C22semidirect
63. #15689510C22semidirect
64. #15689505C22semidirect
65. #15689499C22semidirect
66. #15689487C22semidirect
67. #15689482C22semidirect
68. #15689477C22semidirect
69. #15689469C22semidirect
70. #15689461C22semidirect
71. #15689458C22semidirect
72. #15689456C22semidirect
73. #15689444C22semidirect
74. #15689444C22semidirect
75. #15689444C22semidirect
76. #15689441C22semidirect
77. #15689436C22semidirect
78. #15689436C22semidirect
79. #15689434C22semidirect
80. #15689434C22semidirect
81. #15689434C22semidirect
82. #15689430C22semidirect
83. #15689423C22semidirect
84. #15689418C22semidirect
85. #15689403C22semidirect
86. #15689374C22semidirect
87. #15689371C22semidirect
88. #15689371C22semidirect
89. #15689367C22semidirect
90. #15689362C22semidirect
91. #15689357C22semidirect
92. #15689357C22semidirect
93. #15689357C22semidirect
94. #15689357C22semidirect
95. #15689357C22semidirect
96. #15689357C22semidirect
97. #15689357C22semidirect
98. #15689357C22semidirect
99. #15689354C22semidirect
100. #15689350C22semidirect
101. #15689350C22semidirect
102. #15689345C22semidirect
103. #15689342C22semidirect
104. #15689338C22semidirect
105. #15689335C22semidirect
106. #15689335C22semidirect
107. #15689335C22semidirect
108. #15689323C22semidirect
109. #15689320C22semidirect
110. #15689318C22semidirect
111. #15689315C22semidirect
112. #15689315C22semidirect
113. #15689315C22semidirect
114. #15689285C22semidirect
115. #15689285C22semidirect
116. #15689285C22semidirect
117. #15689283C22semidirect
118. #15689279C22semidirect
119. #15689274C22semidirect
120. #15689274C22semidirect
121. #15689274C22semidirect
122. #15689273C22semidirect
124. #15689268C22semidirect
125. #15689268C22semidirect
126. #15689268C22semidirect
127. #15689268C22semidirect
128. #15689268C22semidirect
129. #15689268C22semidirect
130. #15689268C22semidirect
131. #15689268C22semidirect
132. #15689268C22semidirect
133. #15689268C22semidirect
134. #15689268C22semidirect
135. #15689268C22semidirect
136. #15689266C22semidirect
137. #15689266C22semidirect
138. #15689266C22semidirect
139. #15689262C22semidirect
140. #15689257C22semidirect
141. #15689257C22semidirect
142. #15689257C22semidirect
143. #15689257C22semidirect
144. #15689257C22semidirect
145. #15689257C22semidirect
146. #15689257C22semidirect
147. #15689256C22semidirect
148. #15689256C22semidirect
149. #15689256C22semidirect
150. #15689233C22semidirect
151. #15689223C22semidirect
152. #15689221C22semidirect
153. #15689221C22semidirect
154. C4×#10625337C22semidirect
155. C4×#10625336C22semidirect
156. C4×#10625334C22semidirect
157. C4×#10625334C22semidirect
158. #15689195C22semidirect
159. #15689195C22semidirect
160. #15689195C22semidirect
161. #15689195C22semidirect
162. D4×C47⋊C8C22semidirect
163. D4×C47⋊C8C22semidirect
164. D4×C47⋊C8C22semidirect
165. D4×C47⋊C8C22semidirect
166. #15689184C22semidirect
167. #15689184C22semidirect
168. #15689128C22semidirect
169. #15689124C22semidirect
170. #15689119C22semidirect
171. #15689119C22semidirect
172. #15689119C22semidirect
173. C2×#13093948C22semidirect
174. C2×#13093945C22semidirect
175. C2×#13093945C22semidirect
176. #15689090C22semidirect
177. #15689090C22semidirect
178. C2×C22⋊(C47⋊C8)C22semidirect
179. C2×C22⋊(C47⋊C8)C22semidirect
180. C2×H(5,𝔽2)×C47C22semidirect
181. C22×#41×C47C22semidirect
182. C47×#550C22semidirect
183. C47×#550C22semidirect
185. C47×#548C22semidirect
188. C47×#546C22semidirect
189. C47×#546C22semidirect
193. D42×C47C22semidirect
195. C47×#537C22semidirect
197. C47×#535C22semidirect
201. C2×#121×C47C22semidirect
202. C47×#520C22semidirect
962. #3488D47semidirect
1007. C2×H(5,𝔽2)C2×D47semidirect
1008. C22×#41C2×D47semidirect
1024. #550C2×D47semidirect
1025. #550C2×D47semidirect
1027. #548C2×D47semidirect
1034. #546C2×D47semidirect
1035. #546C2×D47semidirect
1040. D42C2×D47semidirect
1047. #537C2×D47semidirect
1051. #535C2×D47semidirect
1058. C2×#121C2×D47semidirect
1059. #520C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577042
#202555442
#202554092
#202553942
#202553792
#202553382
#202552752
#202552382
#202552012
#202551442
#202550962
#202550692
D4×#106253342
#202549292
#202549242
#202548842
#202548642
#202544822
#202544382
#202542852
#202542342
#202541532
#202541362
#202536502
#202535872
#202526922
#202526562
#202526062
C2×#156892682
#202524442
C47×#34882
#6163947