Finite Group Databasebeta

← #27102505

Subgroups — #27102505

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#20257049C211yesmaximal, characteristic, complemented
2#20255538C211yesmaximal, characteristic, complemented
3#20255403C211yesmaximal, characteristic, complemented
4#20255388C211yesmaximal, characteristic, complemented
5#20255373C211yesmaximal, characteristic, complemented
6#20255332C211yesmaximal, characteristic, complemented
7#20255269C211yesmaximal, characteristic, complemented
8#20255232C211yesmaximal, characteristic, complemented
9#20255195C211yesmaximal, characteristic, complemented
10#20255144C211yesmaximal, characteristic, complemented
11#20255091C211yesmaximal, characteristic, complemented
12#20255069C211yesmaximal, characteristic, complemented
13D4×#10625334C211yesmaximal, characteristic, complemented
14#20254929C211yesmaximal, characteristic, complemented
15#20254924C211yesmaximal, characteristic, complemented
16#20254879C211yesmaximal, characteristic, complemented
17#20254869C211yesmaximal, characteristic, complemented
18#20254476C211yesmaximal, characteristic, complemented
19#20254432C211yesmaximal, characteristic, complemented
20#20254285C211yesmaximal, characteristic, complemented
21#20254240C211yesmaximal, characteristic, complemented
22#20254149C211yesmaximal, characteristic, complemented
23#20254136C211yesmaximal, characteristic, complemented
24#20253644C211yesmaximal, characteristic, complemented
25#20253581C211yesmaximal, characteristic, complemented
26#20252689C211yesmaximal, characteristic, complemented
27#20252654C211yesmaximal, characteristic, complemented
28#20252604C211yesmaximal, characteristic, complemented
29C2×#15689266C211yesmaximal, characteristic, complemented
30#20252444C211yesmaximal, characteristic, complemented
31C47×#3542C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C22×#10625350C2211yescharacteristic, complemented
34C2×#13094050C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C22×#10625335C2211yescharacteristic, complemented
40C22×#10625334C2211yescharacteristic, complemented
41C22×#10625334C2211yescharacteristic, complemented
42#15689794C2211yescharacteristic, complemented
43#15689794C2211yescharacteristic, complemented
44#15689782C2211yescharacteristic
45#15689782C2211yescharacteristic, complemented
46#15689769C2211yescharacteristic, complemented
47#15689769C2211yescharacteristic, complemented
48#15689765—21no—
49#15689765—21no—
50D4×D188C2211yescharacteristic
51D4×D188C2211yescharacteristic, complemented
52#15689755—21no—
53#15689755—21no—
54#15689703—21no—
55#15689701C2211yescharacteristic, complemented
56#15689692C2211yescharacteristic, complemented
57#15689689—21no—
58#15689636—21no—
59C2×#13093998C2211yescharacteristic, complemented
60#121×D47—21no—
61#15689603C2211yescharacteristic, complemented
62#15689513C2211yescharacteristic, complemented
63#15689510C2211yescharacteristic, complemented
64#15689505C2211yescharacteristic, complemented
65#15689499C2211yescharacteristic, complemented
66#15689489C2211yescharacteristic, complemented
67#15689485C2211yescharacteristic, complemented
68#15689480C2211yescharacteristic, complemented
69#15689471C2211yescharacteristic, complemented
70#15689464C2211yescharacteristic, complemented
71#15689458C2211yescharacteristic, complemented
72#15689456C2211yescharacteristic, complemented
73#15689447C2211yescharacteristic, complemented
74#15689447C2211yescharacteristic, complemented
75#15689447C2211yescharacteristic, complemented
76#15689439C2211yescharacteristic, complemented
77#15689436C2211yescharacteristic, complemented
78#15689436C2211yescharacteristic, complemented
79#15689436C2211yescharacteristic, complemented
80#15689434C2211yescharacteristic, complemented
81#15689434C2211yescharacteristic, complemented
82#15689427C2211yescharacteristic, complemented
83#15689420C2211yescharacteristic, complemented
84#15689415C2211yescharacteristic, complemented
85#15689400C2211yescharacteristic, complemented
86#15689374C2211yescharacteristic, complemented
87#15689371C2211yescharacteristic, complemented
88#15689367C2211yescharacteristic, 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#15689354C2211yescharacteristic, complemented
101#15689350C2211yescharacteristic, complemented
102#15689345C2211yescharacteristic, complemented
103#15689342C2211yescharacteristic, complemented
104#15689338C2211yescharacteristic, complemented
105#15689338C2211yescharacteristic, complemented
106#15689338C2211yescharacteristic, complemented
107#15689335C2211yescharacteristic, complemented
108#15689323C2211yescharacteristic, complemented
109#15689320C2211yescharacteristic, complemented
110#15689318C2211yescharacteristic, complemented
111#15689318C2211yescharacteristic, complemented
112#15689318C2211yescharacteristic, complemented
113#15689315C2211yescharacteristic, complemented
114#15689285C2211yescharacteristic, complemented
115#15689283C2211yescharacteristic, complemented
116#15689283C2211yescharacteristic, complemented
117#15689283C2211yescharacteristic, complemented
118#15689278C2211yescharacteristic, complemented
119#15689274C2211yescharacteristic, complemented
120#15689273C2211yescharacteristic, complemented
121#15689273C2211yescharacteristic, complemented
122#15689273C2211yescharacteristic, complemented
123#15689268C2211yescharacteristic, complemented
124#15689268C2211yescharacteristic, complemented
125#15689268C2211yescharacteristic, complemented
126#15689266C2211yescharacteristic
127#15689266C2211yescharacteristic, complemented
128#15689266C2211yescharacteristic, complemented
129#15689266C2211yescharacteristic, complemented
130#15689266C2211yescharacteristic, complemented
131#15689266C2211yescharacteristic, complemented
132#15689266C2211yescharacteristic, complemented
133#15689266C2211yescharacteristic, complemented
134#15689266C2211yescharacteristic, complemented
135#15689266C2211yescharacteristic, complemented
136#15689266C2211yescharacteristic, complemented
137#15689266C2211yescharacteristic, complemented
138#15689266C2211yescharacteristic, complemented
139#15689261C2211yescharacteristic, complemented
140#15689257C2211yescharacteristic, complemented
141#15689257C2211yescharacteristic, complemented
142#15689257C2211yescharacteristic, complemented
143#15689256C2211yescharacteristic, complemented
144#15689256C2211yescharacteristic, complemented
145#15689256C2211yescharacteristic, complemented
146#15689256C2211yescharacteristic, complemented
147#15689256C2211yescharacteristic, complemented
148#15689256C2211yescharacteristic, complemented
149#15689256C2211yescharacteristic, complemented
150#15689233C2211yescharacteristic, complemented
151#15689223C2211yescharacteristic, complemented
152#15689223C2211yescharacteristic, complemented
153#15689221C2211yescharacteristic, complemented
154C4×#10625337C2211yescharacteristic, complemented
155C4×#10625335C2211yescharacteristic, 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#15689127C2211yescharacteristic, complemented
169#15689122C2211yescharacteristic, complemented
170#15689117C2211yescharacteristic, complemented
171#15689117C2211yescharacteristic, complemented
172#15689117C2211yescharacteristic, complemented
173C2×#13093947C2211yescharacteristic, complemented
174C2×#13093944C2211yescharacteristic, complemented
175C2×#13093944C2211yescharacteristic, complemented
176#15689090C2211yescharacteristic, complemented
177#15689090C2211yescharacteristic, complemented
178C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
180C47×#562—21no—
181C47×#560—21no—
182C47×#555C2211yescharacteristic, complemented
183C47×#553C2211yescharacteristic, complemented
184C47×#552C2211yescharacteristic, complemented
185C47×#551—21no—
186C47×#550C2211yescharacteristic, complemented
187C47×#547C2211yescharacteristic, complemented
188C47×#546—21no—
189C47×#546C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic, complemented
191D42×C47C2211yescharacteristic, complemented
192C47×#542C2211yescharacteristic, complemented
193C47×#540—21no—
194C47×#540C2211yescharacteristic, complemented
195C47×#538—21no—
196C47×#537C2211yescharacteristic, complemented
197C47×#535—21no—
198C47×#535C2211yescharacteristic, complemented
199C47×#534—21no—
200C47×#525C2211yescharacteristic
201C47×#525C2211yescharacteristic, complemented
202C2×#121×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—42no—
209C2×#10625350—42no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C22×Dic94C2311yescharacteristic
217C22×D188C2311yescharacteristic
218C22×D188C2311yescharacteristic
219C22×D188C2311yescharacteristic
220C22×D188C2311yescharacteristic
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C22×C4×D47—21no—
229#13094050—42no—
230#13094049—42no—
231#13094044—42no—
232#13094044—42no—
233#13094044—42no—
234C2×#10625337C2311yescharacteristic
235C2×#10625337C2311yescharacteristic
236C2×#10625335—42no—
237C2×#10625335C2311yescharacteristic
238C2×#10625335C2311yescharacteristic
239C2×#10625335C2311yescharacteristic
240C2×#10625335C2311yescharacteristic
241C2×#10625335C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625336C2311yescharacteristic
244C2×#10625336C2311yescharacteristic
245C2×#10625336C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×#10625334—42no—
248C2×#10625334—42no—
249C2×#10625334C2311yescharacteristic
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625334C2311yescharacteristic
253C2×#10625334C2311yescharacteristic
254C2×#10625334C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625329C2311yescharacteristic
262C2×#10625329C2311yescharacteristic
263C22×C47⋊C8C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C22×C47⋊C8C2311yescharacteristic
266C22×C47⋊C8C2311yescharacteristic
267C22×C47⋊C8C2311yescharacteristic
268C22×C47⋊C8C2311yescharacteristic
269#13094021C2311yescharacteristic
270#13094021C2311yescharacteristic
271#13094020—21no—
272#13094020—21no—
273#13094012C2311yescharacteristic
274#13094012C2311yescharacteristic
275#13094010—21no—
276#13094010—21no—
277#13094009—21no—
278#13094009—21no—
279#13094003C2311yescharacteristic
280#13094003C2311yescharacteristic
281#13094002—21no—
282#13094002—21no—
283#13094000—21no—
284#13093999—21no—
285#13093999—21no—
286#13093999—21no—
287#13093999—21no—
288#13093998—21no—
289#13093998—21no—
290#13093998C2311yescharacteristic
291#13093998C2311yescharacteristic
292#13093998C2311yescharacteristic
293#13093998C2311yescharacteristic
294#13093998C2311yescharacteristic
295#13093998C2311yescharacteristic
296#13093997—21no—
297#13093997—21no—
298#13093997—21no—
299#13093997—21no—
300#13093997—21no—
301#13093997—21no—
302#13093996—21no—
303#13093996—21no—
304#13093996—21no—
305#13093996—21no—
306#13093995—21no—
307#13093994—21no—
308#13093994—21no—
309#13093994—21no—
310#13093994—21no—
311#13093994—21no—
312#13093994—21no—
313#13093992—21no—
314#13093992—21no—
315C4×Dic94C2311yescharacteristic
316C4×Dic94C2311yescharacteristic
317C4×D188C2311yescharacteristic
318C4×D188C2311yescharacteristic
319#13093986—21no—
320#13093986—21no—
321(C22⋊D47)⋊C4—21no—
322(C22⋊D47)⋊C4—21no—
323(C22⋊D47)⋊C4—21no—
324(C22⋊D47)⋊C4—21no—
325#13093982—21no—
326C2×C4⋊Dic47C2311yescharacteristic
327C4⋊C4×D47—21no—
328C2×(C2×D47)⋊C4—21no—
329C22⋊C4×D47—21no—
330C22⋊C4×D47—21no—
331#13093957C2311yescharacteristic
332#13093957C2311yescharacteristic
333#13093957C2311yescharacteristic
334#13093957C2311yescharacteristic
335#13093957C2311yescharacteristic
336#13093957C2311yescharacteristic
337#13093955C2311yescharacteristic
338#13093955C2311yescharacteristic
339C4⋊(C47⋊C8)C2311yescharacteristic
340C4⋊(C47⋊C8)C2311yescharacteristic
341C4⋊(C47⋊C8)C2311yescharacteristic
342C4⋊(C47⋊C8)C2311yescharacteristic
343#13093948C2311yescharacteristic
344#13093948C2311yescharacteristic
345#13093947C2311yescharacteristic
346#13093947C2311yescharacteristic
347#13093947C2311yescharacteristic
348#13093947C2311yescharacteristic
349#13093947C2311yescharacteristic
350#13093947C2311yescharacteristic
351#13093947C2311yescharacteristic
352#13093947C2311yescharacteristic
353#13093945C2311yescharacteristic
354#13093945C2311yescharacteristic
355#13093945C2311yescharacteristic
356#13093945C2311yescharacteristic
357#13093945C2311yescharacteristic
358#13093945C2311yescharacteristic
359#13093944C2311yescharacteristic
360#13093944C2311yescharacteristic
361#13093944C2311yescharacteristic
362#13093944C2311yescharacteristic
363#13093944C2311yescharacteristic
364#13093944C2311yescharacteristic
365#13093944C2311yescharacteristic
366#13093944C2311yescharacteristic
367#13093944C2311yescharacteristic
368#13093944C2311yescharacteristic
369#13093944C2311yescharacteristic
370#13093944C2311yescharacteristic
371#13093944C2311yescharacteristic
372#13093944C2311yescharacteristic
373#13093944C2311yescharacteristic
374#13093944C2311yescharacteristic
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
383C22⋊(C47⋊C8)C2311yescharacteristic
384C22⋊(C47⋊C8)C2311yescharacteristic
385C22⋊(C47⋊C8)C2311yescharacteristic
386C22⋊(C47⋊C8)C2311yescharacteristic
387#13093935C2311yescharacteristic
388#13093935C2311yescharacteristic
389C4×C47⋊C8C2311yescharacteristic
390C4×C47⋊C8C2311yescharacteristic
391C2×#41×C47—21no—
392C2×#41×C47C2311yescharacteristic
393C2×#41×C47C2311yescharacteristic
394C2×#41×C47C2311yescharacteristic
395C22×D4×C47—21no—
396C22×D4×C47—21no—
397C22×D4×C47C2311yescharacteristic
398C22×D4×C47C2311yescharacteristic
399C23×C4×C47C2311yescharacteristic
400C4⋊Q8×C47C2311yescharacteristic
401#127×C47—21no—
402#127×C47—21no—
403#127×C47C2311yescharacteristic
404#126×C47—21no—
405#126×C47—21no—
406#126×C47—21no—
407#125×C47—21no—
408#125×C47C2311yescharacteristic
409#124×C47—21no—
410#124×C47—21no—
411#124×C47—21no—
412#124×C47—21no—
413#124×C47C2311yescharacteristic
414#123×C47—21no—
415#123×C47—21no—
416#123×C47—21no—
417#123×C47—21no—
418#123×C47—21no—
419#123×C47—21no—
420#123×C47—21no—
421#123×C47—21no—
422#123×C47—21no—
423#123×C47—21no—
424#123×C47D411yescharacteristic
425#123×C47D411yescharacteristic
426C22⋊Q8×C47—21no—
427C22⋊Q8×C47—21no—
428C22⋊Q8×C47—21no—
429C22⋊Q8×C47D411yescharacteristic
430C22⋊Q8×C47D411yescharacteristic
431C22⋊Q8×C47C2311yescharacteristic
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×C47D411yescharacteristic
449#121×C47D411yescharacteristic
450#121×C47C2311yescharacteristic
451#121×C47C2311yescharacteristic
452#121×C47C2311yescharacteristic
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×C47D411yescharacteristic
467#120×C47D411yescharacteristic
468C4×Q8×C47C2311yescharacteristic
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
480#117×C47—21no—
481#117×C47—21no—
482#117×C47C2311yescharacteristic
483#117×C47C2311yescharacteristic
484#117×C47C2311yescharacteristic
485C2×C4⋊C4×C47C2311yescharacteristic
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×C47C2×D411yescharacteristic
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—82no—
504C2×Q8×C47—21no—
505C2×Q8×C47C2×D411yescharacteristic
506C2×Q8×C47C2411yescharacteristic
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—21no—
513C2×D4×C47—21no—
514C2×D4×C47—21no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—41no—
523C2×D4×C47—41no—
524C2×D4×C47—41no—
525C2×D4×C47—41no—
526C2×D4×C47—82no—
527C2×D4×C47—82no—
528C2×D4×C47C2×D411yescharacteristic
529C2×D4×C47C2×D411yescharacteristic
530C2×D4×C47C2×D411yescharacteristic
531C2×D4×C47C2×D411yescharacteristic
532C2×D4×C47C2×D411yescharacteristic
533C2×D4×C47C2×D411yescharacteristic
534C2×D4×C47C2×D411yescharacteristic
535C2×D4×C47C2411yescharacteristic
536C2×D4×C47C2411yescharacteristic
537C2×D4×C47C2411yescharacteristic
538C22×C4×C47—21no—
539C22×C4×C47—21no—
540C22×C4×C47—21no—
541C22×C4×C47—21no—
542C22×C4×C47—21no—
543C22×C4×C47—21no—
544C22×C4×C47—21no—
545C22×C4×C47—41no—
546C22×C4×C47—41no—
547C22×C4×C47C2×D411yescharacteristic
548C22×C4×C47C2×D411yescharacteristic
549C22×C4×C47C2×D411yescharacteristic
550C22×C4×C47C2411yescharacteristic
551C22×C4×C47C2411yescharacteristic
552C22×C4×C47C2411yescharacteristic
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2411yescharacteristic
555C2×C22⋊D47—21no—
556C2×C22⋊D47—21no—
557C2×C22⋊D47—21no—
558C2×C22⋊D47—21no—
559C2×C22⋊D47—21no—
560C2×C22⋊D47—21no—
561C2×C22⋊D47—21no—
562C2×C22⋊D47—21no—
563C2×C22⋊D47—21no—
564C2×C22⋊D47—21no—
565C2×C22⋊D47—21no—
566C2×C22⋊D47—21no—
567C2×C22⋊D47—44no—
568C2×C22⋊D47—82no—
569C22×Dic47—21no—
570C22×Dic47—21no—
571#10625354—44no—
572D4×D47—44no—
573D4×D47—44no—
574D4×D47—44no—
575D4×D47—82no—
576D4×D47—82no—
577#10625350—22no—
578#10625350—22no—
579#10625350—22no—
580#10625350—22no—
581#10625350—22no—
582#10625350—22no—
583#10625350—41no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—41no—
589#10625350—44no—
590#10625350—44no—
591C2×D188—22no—
592C2×D188—22no—
593C2×D188—22no—
594C2×D188—21no—
595C2×D188—21no—
596C2×D188—21no—
597C2×D188—21no—
598C2×D188—21no—
599C2×D188—21no—
600C2×D188—21no—
601C2×D188—21no—
602C2×D188—41no—
603C2×D188—41no—
604C2×D188—41no—
605C2×D188—41no—
606C2×D188—41no—
607C2×D188C2411yescharacteristic
608C2×D188C2411yescharacteristic
609C2×D188C2411yescharacteristic
610C2×D188C2411yescharacteristic
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—21no—
615C2×C4×D47—21no—
616C2×C4×D47—21no—
617C2×C4×D47—21no—
618C2×C4×D47—21no—
619C2×C4×D47—44no—
620C2×Dic94—22no—
621C2×Dic94—21no—
622C2×Dic94—41no—
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47—21no—
630C4⋊C4×C47—21no—
631C4⋊C4×C47—21no—
632C4⋊C4×C47—21no—
633C4⋊C4×C47—21no—
634C4⋊C4×C47C2×D411yescharacteristic
635C4⋊C4×C47C2×D411yescharacteristic
636C4⋊C4×C47C2×D411yescharacteristic
637C4⋊C4×C47C2×D411yescharacteristic
638C4⋊C4×C47C2×D411yescharacteristic
639C4⋊C4×C47C2×D411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C22⋊C4×C47—21no—
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊C4×C47—21no—
654C22⋊C4×C47—21no—
655C22⋊C4×C47—21no—
656C22⋊C4×C47—21no—
657C22⋊C4×C47—21no—
658C22⋊C4×C47—21no—
659C22⋊C4×C47—21no—
660C22⋊C4×C47—21no—
661C22⋊C4×C47—21no—
662C22⋊C4×C47—21no—
663C22⋊C4×C47C2×D411yescharacteristic
664C22⋊C4×C47C2×D411yescharacteristic
665C22⋊C4×C47C2×D411yescharacteristic
666C22⋊C4×C47C2×D411yescharacteristic
667C22⋊C4×C47C2×D411yescharacteristic
668C22⋊C4×C47C2×D411yescharacteristic
669C22⋊C4×C47C2×D411yescharacteristic
670C22⋊C4×C47C2×D411yescharacteristic
671C22⋊C4×C47C2×D411yescharacteristic
672C22⋊C4×C47C2×D411yescharacteristic
673C42×C47—21no—
674C42×C47—21no—
675C42×C47—21no—
676C42×C47C2411yescharacteristic
677C42×C47C2411yescharacteristic
678C22⋊Dic47—21no—
679C22⋊Dic47—21no—
680#10625337—22no—
681#10625337—41no—
682#10625336—22no—
683#10625336—41no—
684#10625336—41no—
685#10625336—41no—
686#10625335—22no—
687#10625335—22no—
688#10625335—22no—
689#10625335—41no—
690#10625335—41no—
691#10625335—41no—
692#10625334—22no—
693#10625334—22no—
694#10625334—22no—
695#10625334—41no—
696#10625334—41no—
697#10625334—41no—
698#10625334—41no—
699#10625334—41no—
700#10625334—41no—
701#10625334—41no—
702#10625334—41no—
703#10625334—41no—
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—
709(C2×D47)⋊C4—21no—
710(C2×D47)⋊C4—21no—
711(C2×D47)⋊C4—21no—
712(C2×D47)⋊C4—21no—
713(C2×D47)⋊C4—21no—
714(C2×D47)⋊C4—21no—
715(C2×D47)⋊C4—21no—
716C4⋊Dic47—21no—
717C4⋊Dic47C2411yescharacteristic
718C4⋊Dic47C2411yescharacteristic
719Dic47⋊C4—21no—
720Dic47⋊C4—21no—
721Dic47⋊C4—21no—
722Dic47⋊C4—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—22no—
742C23×C47—21no—
743C23×C47—21no—
744C23×C47—21no—
745C23×C47—41no—
746C23×C47—41no—
747C23×C47—42no—
748C23×C47—81no—
749C23×C47—81no—
750C23×C47—81no—
751C23×C47—81no—
752C23×C47—81no—
753C23×C47C22×D411yescharacteristic
754C23×C47C22×D411yescharacteristic
755C23×C47C22×D411yescharacteristic
756C23×C47C22×D411yescharacteristic
757C23×C47C22×D411yescharacteristic
758C22×D47—21no—
759C22×D47—21no—
760C22×D47—21no—
761C22×D47—21no—
762C22×D47—42no—
763C22×D47—42no—
764C22×D47—42no—
765C22×D47—42no—
766C22×D47—42no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47—81no—
773C22×D47—81no—
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—41no—
777Q8×C47—81no—
778D4×C47—22no—
779D4×C47—22no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—21no—
786D4×C47—41no—
787D4×C47—41no—
788D4×C47—41no—
789D4×C47—41no—
790D4×C47—41no—
791D4×C47—42no—
792D4×C47—81no—
793D4×C47—81no—
794D4×C47—81no—
795D4×C47—81no—
796D4×C47—81no—
797D4×C47—81no—
798D4×C47—81no—
799D4×C47—81no—
800D4×C47—81no—
801D4×C47—81no—
802D4×C47—81no—
803D4×C47—81no—
804D4×C47—81no—
805D4×C47—81no—
806C2×C4×C47—21no—
807C2×C4×C47—21no—
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—41no—
822C2×C4×C47—41no—
823C2×C4×C47—41no—
824C2×C4×C47—42no—
825C2×C4×C47—81no—
826C2×C4×C47—81no—
827C2×C4×C47—81no—
828C2×C4×C47—81no—
829C2×C4×C47—81no—
830C2×C4×C47—81no—
831C2×C4×C47C22×D411yescharacteristic
832C2×C4×C47C22×D411yescharacteristic
833C2×C4×C47C22×D411yescharacteristic
834C2×C4×C47C22×D411yescharacteristic
835C2×C4×C47C22×D411yescharacteristic
836C2×C4×C47C22×D411yescharacteristic
837C2×C4×C47C22×D411yescharacteristic
838C2×C4×C47C22×D411yescharacteristic
839C2×C4×C47C22×D411yescharacteristic
840C2×C4×C47C2511yescharacteristic
841C22⋊D47—24no—
842C22⋊D47—42no—
843C22⋊D47—42no—
844C22⋊D47—42no—
845C22⋊D47—42no—
846C22⋊D47—42no—
847C22⋊D47—42no—
848C22⋊D47—42no—
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—42no—
858C2×Dic47—81no—
859D188—21no—
860D188—21no—
861D188—21no—
862D188—21no—
863D188—21no—
864D188—21no—
865D188—21no—
866D188—42no—
867D188—42no—
868D188—42no—
869D188—42no—
870D188—81no—
871D188—81no—
872D188—81no—
873D188—81no—
874D188H(5,𝔽2)12yes—
875C4×D47—24no—
876C4×D47—42no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—42no—
880C4×D47—42no—
881C4×D47—81no—
882C4×D47—81no—
883Dic94—21no—
884Dic94—21no—
885Dic94—21no—
886Dic94—42no—
887Dic94H(5,𝔽2)12yes—
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—21no—
907C22×C47—21no—
908C22×C47—21no—
909C22×C47—21no—
910C22×C47—21no—
911C22×C47—41no—
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—82no—
921C22×C47—162no—
922C22×C47—162no—
923C22×C47#57612yes—
924C22×C47C23×D411yescharacteristic
925C2×D47—22no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—41no—
936C2×D47—41no—
937C2×D47—84no—
938C2×D47—162no—
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—21no—
949C4×C47—21no—
950C4×C47—41no—
951C4×C47—41no—
952C4×C47—41no—
953C4×C47—41no—
954C4×C47—41no—
955C4×C47C2×H(5,𝔽2)11yescharacteristic
956C4×C47C2×H(5,𝔽2)11yescharacteristic
957Dic47—22no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542D4711yescharacteristic, complemented
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#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—81no—
998C2×C47—81no—
999C2×C47—81no—
1000C2×C47#348411yescharacteristic
1001C2×C47C2×#57611yescharacteristic
1002C2×C47#358411yescharacteristic
1003D47—42no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—21no—
1018#560—21no—
1019#555C2×D4711yescharacteristic, complemented
1020#553C2×D4711yescharacteristic, complemented
1021#552C2×D4711yescharacteristic, complemented
1022#551—21no—
1023#550—471no—
1024#550—471no—
1025#550C2×D4711yescharacteristic, complemented
1026#548—471no—
1027#548—471no—
1028#547C2×D4711yescharacteristic, complemented
1029#546—21no—
1030#546—471no—
1031#546—471no—
1032#546—941no—
1033#546—941no—
1034#546C2×D4711yescharacteristic, complemented
1035#546C2×D4711yescharacteristic, complemented
1036D42—471no—
1037D42—471no—
1038D42—941no—
1039D42—941no—
1040D42C2×D4711yescharacteristic, complemented
1041#542C2×D4711yescharacteristic, complemented
1042#540—21no—
1043#540C2×D4711yescharacteristic, complemented
1044#538—21no—
1045#537—471no—
1046#537—941no—
1047#537C2×D4711yescharacteristic, complemented
1048#535—21no—
1049#535—471no—
1050#535—941no—
1051#535C2×D4711yescharacteristic, complemented
1052#534—21no—
1053#525—941no—
1054#525C2×D4711yescharacteristic
1055#525C2×D4711yescharacteristic, complemented
1056C2×#121—471no—
1057C2×#121—941no—
1058C2×#121C2×D4711yescharacteristic, complemented
1059#520—471no—
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)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—21no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—1882no—
1192C2×#41—1882no—
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—471no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4C22×D4711yescharacteristic
1211C22×D4C22×D4711yescharacteristic
1212C23×C4—941no—
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⋊Q8C22×D4711yescharacteristic
1255#127—21no—
1256#127—21no—
1257#127—471no—
1258#127—471no—
1259#127—941no—
1260#127—941no—
1261#127C22×D4711yescharacteristic
1262#126—21no—
1263#126—21no—
1264#126—21no—
1265#125—21no—
1266#125C22×D4711yescharacteristic
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—471no—
1272#124—471no—
1273#124—941no—
1274#124—941no—
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
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—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8C22⋊D4711yescharacteristic
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—471no—
1318#121—471no—
1319#121—471no—
1320#121—471no—
1321#121—471no—
1322#121—471no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121C22⋊D4711yescharacteristic
1341#121C22⋊D4711yescharacteristic
1342#121C22×D4711yescharacteristic
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—941no—
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×Q8—471no—
1370C4×Q8C22×D4711yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—941no—
1378C4×D4—941no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4C22×D4711yescharacteristic
1384C4×D4C22×D4711yescharacteristic
1385C4×D4C22×D4711yescharacteristic
1386C4×D4C22×D4711yescharacteristic
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—21no—
1391#117—21no—
1392#117—941no—
1393#117C22×D4711yescharacteristic
1394#117C22×D4711yescharacteristic
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—941no—
1398C2×C4⋊C4C22×D4711yescharacteristic
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—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24C2×C22⋊D4711yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—82no—
1480#41—942no—
1481#41—942no—
1482#41—942no—
1483#41—942no—
1484#41—942no—
1485#41—942no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1884no—
1493#41—1884no—
1494#41—1884no—
1495C2×Q8—21no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—942no—
1499C2×Q8—941no—
1500C2×Q8—1881no—
1501C2×Q8C2×C22⋊D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—41no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—82no—
1523C2×D4—82no—
1524C2×D4—471no—
1525C2×D4—471no—
1526C2×D4—471no—
1527C2×D4—471no—
1528C2×D4—942no—
1529C2×D4—942no—
1530C2×D4—942no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—941no—
1549C2×D4—941no—
1550C2×D4—941no—
1551C2×D4—3762no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—1881no—
1555C2×D4—1881no—
1556C2×D4—1881no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1884no—
1560C2×D4—1884no—
1561C2×D4—1884no—
1562C2×D4—1884no—
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×D4C2×C22⋊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—41no—
1581C22×C4—41no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—1884no—
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—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4C2×C22⋊D4711yescharacteristic
1658C4⋊C4C2×C22⋊D4711yescharacteristic
1659C4⋊C4C2×C22⋊D4711yescharacteristic
1660C4⋊C4C2×C22⋊D4711yescharacteristic
1661C4⋊C4C2×C22⋊D4711yescharacteristic
1662C4⋊C4C2×C22⋊D4711yescharacteristic
1663C4⋊C4C23×D4711yescharacteristic
1664C4⋊C4C23×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—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
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—21no—
1713C42—941no—
1714C42—941no—
1715C42C23×D4711yescharacteristic
1716C42C23×D4711yescharacteristic
1717C23—22no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—41no—
1722C23—41no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—941no—
1730C23—941no—
1731C23—941no—
1732C23—941no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—1882no—
1741C23—1882no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23C22×C22⋊D4711yescharacteristic
1746C23C22×C22⋊D4711yescharacteristic
1747C23C22×C22⋊D4711yescharacteristic
1748C23C22×C22⋊D4711yescharacteristic
1749C23C22×C22⋊D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—41no—
1753Q8—81no—
1754Q8—472no—
1755Q8—941no—
1756Q8—941no—
1757Q8—941no—
1758Q8—1882no—
1759D4—22no—
1760D4—22no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—41no—
1771D4—41no—
1772D4—42no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784D4—81no—
1785D4—81no—
1786D4—81no—
1787D4—472no—
1788D4—944no—
1789D4—941no—
1790D4—941no—
1791D4—941no—
1792D4—941no—
1793D4—941no—
1794D4—941no—
1795D4—941no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—3761no—
1802D4—3761no—
1803D4—3761no—
1804D4—1882no—
1805D4—1882no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—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—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—944no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—1882no—
1849C2×C4—1882no—
1850C2×C4—1882no—
1851C2×C4—1882no—
1852C2×C4—1882no—
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—21no—
1884C22—21no—
1885C22—21no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—82no—
1896C22—162no—
1897C22—162no—
1898C22—942no—
1899C22—3764no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—1881no—
1910C22—1881no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992612yes—
1915C22C23×C22⋊D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—942no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4H(5,𝔽2)×D4711yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—81no—
1942C2—81no—
1943C2—81no—
1944C2—3761no—
1945C2—3761no—
1946C2—3761no—
1947C2—1882no—
1948C2#2025701911yescharacteristic
1949C2C2×#1568992611yescharacteristic
1950C2#2025815911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3542C2
socleC22×C47C23×D4
hypercenter#3542D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #525 ◁ #3542

Complements

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

NH ≅ G/Ntype
1. #20257049C2semidirect
2. #20255538C2semidirect
3. #20255403C2semidirect
4. #20255388C2semidirect
5. #20255373C2semidirect
6. #20255332C2semidirect
7. #20255269C2semidirect
8. #20255232C2semidirect
9. #20255195C2semidirect
10. #20255144C2semidirect
11. #20255091C2semidirect
12. #20255069C2semidirect
13. D4×#10625334C2semidirect
14. #20254929C2semidirect
15. #20254924C2semidirect
16. #20254879C2semidirect
17. #20254869C2semidirect
18. #20254476C2semidirect
19. #20254432C2semidirect
20. #20254285C2semidirect
21. #20254240C2semidirect
22. #20254149C2semidirect
23. #20254136C2semidirect
24. #20253644C2semidirect
25. #20253581C2semidirect
26. #20252689C2semidirect
27. #20252654C2semidirect
28. #20252604C2semidirect
29. C2×#15689266C2semidirect
30. #20252444C2semidirect
31. C47×#3542C2semidirect
32. C2×#13094070C22semidirect
33. C22×#10625350C22semidirect
34. C2×#13094050C22semidirect
35. C2×#13094049C22semidirect
36. C2×#13094044C22semidirect
37. C2×#13094044C22semidirect
38. C2×#13094044C22semidirect
39. C22×#10625335C22semidirect
40. C22×#10625334C22semidirect
41. C22×#10625334C22semidirect
42. #15689794C22semidirect
43. #15689794C22semidirect
45. #15689782C22semidirect
46. #15689769C22semidirect
47. #15689769C22semidirect
51. D4×D188C22semidirect
55. #15689701C22semidirect
56. #15689692C22semidirect
59. C2×#13093998C22semidirect
61. #15689603C22semidirect
62. #15689513C22semidirect
63. #15689510C22semidirect
64. #15689505C22semidirect
65. #15689499C22semidirect
66. #15689489C22semidirect
67. #15689485C22semidirect
68. #15689480C22semidirect
69. #15689471C22semidirect
70. #15689464C22semidirect
71. #15689458C22semidirect
72. #15689456C22semidirect
73. #15689447C22semidirect
74. #15689447C22semidirect
75. #15689447C22semidirect
76. #15689439C22semidirect
77. #15689436C22semidirect
78. #15689436C22semidirect
79. #15689436C22semidirect
80. #15689434C22semidirect
81. #15689434C22semidirect
82. #15689427C22semidirect
83. #15689420C22semidirect
84. #15689415C22semidirect
85. #15689400C22semidirect
86. #15689374C22semidirect
87. #15689371C22semidirect
88. #15689367C22semidirect
89. #15689367C22semidirect
90. #15689362C22semidirect
91. #15689357C22semidirect
92. #15689357C22semidirect
93. #15689357C22semidirect
94. #15689357C22semidirect
95. #15689357C22semidirect
96. #15689357C22semidirect
97. #15689357C22semidirect
98. #15689357C22semidirect
99. #15689354C22semidirect
100. #15689354C22semidirect
101. #15689350C22semidirect
102. #15689345C22semidirect
103. #15689342C22semidirect
104. #15689338C22semidirect
105. #15689338C22semidirect
106. #15689338C22semidirect
107. #15689335C22semidirect
108. #15689323C22semidirect
109. #15689320C22semidirect
110. #15689318C22semidirect
111. #15689318C22semidirect
112. #15689318C22semidirect
113. #15689315C22semidirect
114. #15689285C22semidirect
115. #15689283C22semidirect
116. #15689283C22semidirect
117. #15689283C22semidirect
118. #15689278C22semidirect
119. #15689274C22semidirect
120. #15689273C22semidirect
121. #15689273C22semidirect
122. #15689273C22semidirect
123. #15689268C22semidirect
124. #15689268C22semidirect
125. #15689268C22semidirect
127. #15689266C22semidirect
128. #15689266C22semidirect
129. #15689266C22semidirect
130. #15689266C22semidirect
131. #15689266C22semidirect
132. #15689266C22semidirect
133. #15689266C22semidirect
134. #15689266C22semidirect
135. #15689266C22semidirect
136. #15689266C22semidirect
137. #15689266C22semidirect
138. #15689266C22semidirect
139. #15689261C22semidirect
140. #15689257C22semidirect
141. #15689257C22semidirect
142. #15689257C22semidirect
143. #15689256C22semidirect
144. #15689256C22semidirect
145. #15689256C22semidirect
146. #15689256C22semidirect
147. #15689256C22semidirect
148. #15689256C22semidirect
149. #15689256C22semidirect
150. #15689233C22semidirect
151. #15689223C22semidirect
152. #15689223C22semidirect
153. #15689221C22semidirect
154. C4×#10625337C22semidirect
155. C4×#10625335C22semidirect
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. #15689127C22semidirect
169. #15689122C22semidirect
170. #15689117C22semidirect
171. #15689117C22semidirect
172. #15689117C22semidirect
173. C2×#13093947C22semidirect
174. C2×#13093944C22semidirect
175. C2×#13093944C22semidirect
176. #15689090C22semidirect
177. #15689090C22semidirect
178. C2×C22⋊(C47⋊C8)C22semidirect
179. C2×C22⋊(C47⋊C8)C22semidirect
182. C47×#555C22semidirect
183. C47×#553C22semidirect
184. C47×#552C22semidirect
186. C47×#550C22semidirect
187. C47×#547C22semidirect
189. C47×#546C22semidirect
190. C47×#546C22semidirect
191. D42×C47C22semidirect
192. C47×#542C22semidirect
194. C47×#540C22semidirect
196. C47×#537C22semidirect
198. C47×#535C22semidirect
201. C47×#525C22semidirect
202. C2×#121×C47C22semidirect
961. #3542D47semidirect
1019. #555C2×D47semidirect
1020. #553C2×D47semidirect
1021. #552C2×D47semidirect
1025. #550C2×D47semidirect
1028. #547C2×D47semidirect
1034. #546C2×D47semidirect
1035. #546C2×D47semidirect
1040. D42C2×D47semidirect
1041. #542C2×D47semidirect
1043. #540C2×D47semidirect
1047. #537C2×D47semidirect
1051. #535C2×D47semidirect
1055. #525C2×D47semidirect
1058. C2×#121C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202570492
#202555382
#202554032
#202553882
#202553732
#202553322
#202552692
#202552322
#202551952
#202551442
#202550912
#202550692
D4×#106253342
#202549292
#202549242
#202548792
#202548692
#202544762
#202544322
#202542852
#202542402
#202541492
#202541362
#202536442
#202535812
#202526892
#202526542
#202526042
C2×#156892662
#202524442
C47×#35422
#6163947