Finite Group Databasebeta

← #29470649

Subgroups — #29470649

Order 15104.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437703C211yesmaximal, characteristic
2#21437675C211yesmaximal, characteristic, complemented
3#21437150C211yesmaximal, characteristic, complemented
4#21437003C211yesmaximal, characteristic, complemented
5#21436913C211yesmaximal, characteristic, complemented
6#21436880C211yesmaximal, characteristic, complemented
7#21436582C211yesmaximal, characteristic, complemented
8#21436486C211yesmaximal, characteristic, complemented
9#21436270C211yesmaximal, characteristic, complemented
10#21436261C211yesmaximal, characteristic, complemented
11#21436180C211yesmaximal, characteristic, complemented
12#21436171C211yesmaximal, characteristic, complemented
13#21435970C211yesmaximal, characteristic, complemented
14#21435918C211yesmaximal, characteristic, complemented
15#21435789C211yesmaximal, characteristic, complemented
16#21435613C211yesmaximal, characteristic, complemented
17#21435611C211yesmaximal, characteristic, complemented
18#21434809C211yesmaximal, characteristic, complemented
19#21434807C211yesmaximal, characteristic, complemented
20#21434798C211yesmaximal, characteristic, complemented
21#21434272C211yesmaximal, characteristic, complemented
22#21434264C211yesmaximal, characteristic, complemented
23#21434253C211yesmaximal, characteristic, complemented
24#21434215C211yesmaximal, characteristic, complemented
25#21434197C211yesmaximal, characteristic, complemented
26#21434192C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432914C211yesmaximal, characteristic, complemented
29C2×#16837501C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3346C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic
33C22×#11745660C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838135C2211yescharacteristic
36#16838132C2211yescharacteristic, complemented
37#16838130C2211yescharacteristic, complemented
38#16838129—21no—
39#16838111—21no—
40#16838108C2211yescharacteristic
41#16838107C2211yescharacteristic
42#16838107C2211yescharacteristic
43#16838107C2211yescharacteristic, complemented
44#16838106—21no—
45#16838106—21no—
46#16838097—21no—
47#16838096C2211yescharacteristic
48#16838081—21no—
49#16838077—21no—
50D4×Dic118C2211yescharacteristic, complemented
51#16838065C2211yescharacteristic
52#16838065C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838048C2211yescharacteristic
55#16838041—21no—
56#16838036C2211yescharacteristic
57#16837958—21no—
58#16837957C2211yescharacteristic, complemented
59#16837954—21no—
60#16837954—21no—
61#16837954C2211yescharacteristic, complemented
62#16837954C2211yescharacteristic, complemented
63#16837947C2211yescharacteristic
64#16837937C2211yescharacteristic
65#16837935—21no—
66#16837933C2211yescharacteristic
67#16837912—21no—
68#16837910—21no—
69#16837870C2211yescharacteristic
70C4×#11745687—21no—
71C4×#11745687C2211yescharacteristic
72C2×#14273692C2211yescharacteristic, complemented
73C2×#14273692C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78#16837809C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic
83#16837772C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837743C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic
96#16837715C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837712C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic
104#16837681C2211yescharacteristic
105#16837681C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic
107#16837650C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837643C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic
115#16837632C2211yescharacteristic
116#16837629C2211yescharacteristic
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837611C2211yescharacteristic, complemented
122#16837608C2211yescharacteristic
123#16837607C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic
125#16837606C2211yescharacteristic
126#16837606C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic
128#16837601C2211yescharacteristic
129#16837566C2211yescharacteristic
130#16837562C2211yescharacteristic
131#16837560C2211yescharacteristic, complemented
132#16837559C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic
134#16837554C2211yescharacteristic
135#16837554C2211yescharacteristic
136#16837552C2211yescharacteristic
137#16837543C2211yescharacteristic, complemented
138#16837542C2211yescharacteristic
139#16837540C2211yescharacteristic
140#16837540C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837508C2211yescharacteristic, complemented
144#16837508C2211yescharacteristic, complemented
145#16837508C2211yescharacteristic, complemented
146#16837506C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic
148#16837505C2211yescharacteristic, complemented
149#16837504C2211yescharacteristic
150#16837503C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic, complemented
152#16837501C2211yescharacteristic
153#16837501C2211yescharacteristic
154#16837501C2211yescharacteristic
155#16837501C2211yescharacteristic
156#16837501C2211yescharacteristic
157#16837501C2211yescharacteristic, complemented
158#16837501C2211yescharacteristic, complemented
159#16837501C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837496C2211yescharacteristic, complemented
167#16837496C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic
169#16837489C2211yescharacteristic
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic
174(C22⋊D59)⋊C8C2211yescharacteristic
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837410C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic
181C2×#14273650C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic
184#102×D59C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#553C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#481C2211yescharacteristic
194C59×#480C2211yescharacteristic, complemented
195C59×#479C2211yescharacteristic, complemented
196C59×#474C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#465C2211yescharacteristic
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C2×#107×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273760—24no—
215C2×Dic236C2311yescharacteristic
216C2×Dic236C2311yescharacteristic
217C2×Dic236C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660—24no—
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231SD16×D59—24no—
232C2×#11745664C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273727C2311yescharacteristic
237#14273726—21no—
238#14273726—21no—
239#14273726—21no—
240#14273726—21no—
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273726C2311yescharacteristic
244#14273725—21no—
245#14273725—21no—
246#14273725C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273722—21no—
250#14273721—21no—
251#14273720—21no—
252#14273719—21no—
253#14273718—21no—
254#14273718C2311yescharacteristic
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273715C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273710—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273708—21no—
273#14273707—21no—
274#14273707C2311yescharacteristic
275#14273707C2311yescharacteristic
276#14273707C2311yescharacteristic
277#14273706—21no—
278#14273706—21no—
279#14273706—21no—
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273704—21no—
296#14273703—21no—
297#14273702C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273698—21no—
304#14273697—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308Q8×Dic59—21no—
309Q8×Dic59C2311yescharacteristic
310C4×Dic118—21no—
311C4×Dic118—21no—
312C4×Dic118C2311yescharacteristic
313C4×Dic118C2311yescharacteristic
314#14273692—21no—
315#14273692—21no—
316#14273692—21no—
317#14273692—21no—
318#14273692—21no—
319#14273692—21no—
320#14273692—21no—
321#14273692—21no—
322#14273692D411yescharacteristic
323#14273692C2311yescharacteristic
324#14273692C2311yescharacteristic
325#14273692C2311yescharacteristic
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331#14273692C2311yescharacteristic
332C4×D236—21no—
333C4×D236C2311yescharacteristic
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59D411yescharacteristic
337D4×Dic59C2311yescharacteristic
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4D411yescharacteristic
360(C22⋊D59)⋊C4D411yescharacteristic
361#14273685—21no—
362#14273685—21no—
363#14273685D411yescharacteristic
364#14273684—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683D411yescharacteristic
369#14273683D411yescharacteristic
370C2×Dic59⋊C4—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385C42×D59—21no—
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273658C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×SD16×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C22×C8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#126×C59—21no—
443#125×C59—21no—
444#125×C59C2311yescharacteristic
445#123×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59—21no—
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59C2311yescharacteristic
459C2×C4⋊C4×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59C2×D411yescharacteristic
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59C2×D411yescharacteristic
501C2×C22⋊D59C2×D411yescharacteristic
502C22×Dic59—21no—
503C22×Dic59—21no—
504C22×Dic59—21no—
505C22×Dic59C2×D411yescharacteristic
506C22×Dic59C2×D411yescharacteristic
507C22×Dic59C2×D411yescharacteristic
508C22×Dic59C2×D411yescharacteristic
509Q8×D59—22no—
510Q8×D59—41no—
511#11745687—24no—
512#11745687—82no—
513D4×D59—22no—
514D4×D59—41no—
515D4×D59—44no—
516#11745685—22no—
517#11745685—41no—
518C2×D236—22no—
519C2×D236—21no—
520C2×D236—21no—
521C2×D236—41no—
522C2×D236C2411yescharacteristic
523C2×D236C2411yescharacteristic
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—82no—
535C2×C4×D59—82no—
536C2×C4×D59C2×D411yescharacteristic
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2411yescharacteristic
539C2×Dic118—22no—
540C2×Dic118—22no—
541C2×Dic118—21no—
542C2×Dic118—21no—
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—41no—
548C2×Dic118—41no—
549C2×Dic118C2×D411yescharacteristic
550C2×Dic118C2411yescharacteristic
551C2×Dic118C2411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554SD16×C59—22no—
555M16×C59—22no—
556C2×C8×C59—22no—
557C2×C8×C59C2411yescharacteristic
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C42×C59—21no—
586C42×C59—21no—
587C42×C59C2411yescharacteristic
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59C2×D411yescharacteristic
595C22⋊Dic59C2×D411yescharacteristic
596#11745672—41no—
597#11745671—22no—
598#11745671—41no—
599#11745670—22no—
600#11745670—41no—
601#11745670—41no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4C2×D411yescharacteristic
616(C2×D59)⋊C4C2×D411yescharacteristic
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59C2×D411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4C2×D411yescharacteristic
651Dic59⋊C4C2×D411yescharacteristic
652Dic59⋊C4C2×D411yescharacteristic
653Dic59⋊C4C2×D411yescharacteristic
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59C2×D411yescharacteristic
666C4×Dic59C2×D411yescharacteristic
667C4×Dic59C2×D411yescharacteristic
668C4×Dic59C2×D411yescharacteristic
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2411yescharacteristic
672C4×Dic59C2411yescharacteristic
673C4×Dic59C2411yescharacteristic
674#11745664—41no—
675C2×C59⋊C8—41no—
676C2×C59⋊C8C2411yescharacteristic
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680Dic236—22no—
681Dic236—22no—
682Dic236—41no—
683#11745660—22no—
684#11745660—22no—
685#11745660—22no—
686#11745660—22no—
687#11745660—41no—
688#11745660#4114yescomplemented
689C8×D59—22no—
690C8×D59—41no—
691C23×C59—21no—
692C23×C59C22×D411yescharacteristic
693C23×C59C22×D411yescharacteristic
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—81no—
701C22×D59—81no—
702C22×D59C22×D411yescharacteristic
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—81no—
706D4×C59—22no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—42no—
710D4×C59—81no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—81no—
723C2×C4×C59—81no—
724C2×C4×C59—81no—
725C2×C4×C59—81no—
726C2×C4×C59C22×D411yescharacteristic
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C2511yescharacteristic
731C22⋊D59—22no—
732C22⋊D59—42no—
733C22⋊D59—42no—
734C22⋊D59—42no—
735C22⋊D59—81no—
736C22⋊D59—81no—
737C22⋊D59#13714yescomplemented
738C2×Dic59—22no—
739C2×Dic59—21no—
740C2×Dic59—22no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—41no—
747C2×Dic59—41no—
748C2×Dic59—42no—
749C2×Dic59—42no—
750C2×Dic59—42no—
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753C2×Dic59C22×D411yescharacteristic
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758D236—21no—
759D236—21no—
760D236—21no—
761D236—42no—
762D236—42no—
763D236C2×#4112yes—
764C4×D59—22no—
765C4×D59—21no—
766C4×D59—21no—
767C4×D59—41no—
768C4×D59—42no—
769C4×D59—42no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—81no—
774C4×D59—81no—
775C4×D59—81no—
776C4×D59—81no—
777C4×D59—81no—
778Dic118—21no—
779Dic118—22no—
780Dic118—21no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—42no—
787Dic118—42no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118C2×#4112yes—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59—21no—
796C8×C59C2×#4112yes—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801#61453—591nomaximal, Sylow
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59C2×#13712yes—
811C22×C59C23×D411yescharacteristic
812C2×D59—21no—
813C2×D59—21no—
814C2×D59—22no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—84no—
821C2×D59—84no—
822C2×D59C2×#13712yes—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59C22×#4111yescharacteristic
835C4×C59#58511yescharacteristic
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—22no—
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59C2×#13712yes—
849#3481—591no—
850Q8×#41—591no—
851#3400—591no—
852#3385—591no—
853#3375—591no—
854#3372—591no—
855#3346—591no—
856#3346D5911yescharacteristic, complemented
857#3338—591no—
858#3320—591no—
859#3320—591no—
860#3314—591no—
861#3314—591no—
862#3299—591no—
863#3295—591no—
864D4×SD16—591no—
865#3266—591no—
866#3266—591no—
867#3182—591no—
868#3181—591no—
869#3181—591no—
870#3117—591no—
871#3117—591no—
872#3116—591no—
873#3112—591no—
874#3110—591no—
875#3110—591no—
876#2970—591no—
877C4×#137—591no—
878C2×#440—591no—
879C2×#440—591no—
880C2×C59—22no—
881C2×C59—41no—
882C2×C59—81no—
883C2×C59D4×#4111yescharacteristic
884C2×C59C22×#13711yescharacteristic
885C2×C59#358511yescharacteristic
886D59—22no—
887D59—42no—
888D59—81no—
889C2×#137—591no—
890C22×SD16—591no—
891C22×SD16—591no—
892#559—591no—
893Q82—591no—
894#557—591no—
895#557—1181no—
896#554—591no—
897#554—591no—
898#554—591no—
899#554—591no—
900#554—1181no—
901#554—1181no—
902#554—1181no—
903#554C2×D5911yescharacteristic, complemented
904#553—591no—
905#553—1181no—
906#553C2×D5911yescharacteristic
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911D4×Q8—591no—
912#546—591no—
913#546—591no—
914#546—1181no—
915D42—591no—
916#533—591no—
917#533—591no—
918#533—591no—
919#533—1181no—
920#533—1181no—
921#533—1181no—
922#532—591no—
923#529—591no—
924#529—591no—
925#529—1181no—
926#525—1181no—
927#525—1181no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—1181no—
931C2×C4×Q8—591no—
932C2×C4×Q8—591no—
933C2×C4×Q8—591no—
934C2×C4×D4—591no—
935C2×C4×D4—591no—
936C2×C4×D4—1181no—
937#501—591no—
938#501C2×D5911yescharacteristic, complemented
939#500—591no—
940#497—591no—
941#497—591no—
942#492—591no—
943#491—591no—
944#491—591no—
945#489—591no—
946#489—591no—
947#487—591no—
948#486—591no—
949#485—591no—
950#485C2×D5911yescharacteristic, complemented
951#484—591no—
952#484—591no—
953#484—591no—
954#484—591no—
955#484—591no—
956#484C2×D5911yescharacteristic, complemented
957#481—591no—
958#481C2×D5911yescharacteristic
959#480—591no—
960#480C2×D5911yescharacteristic, complemented
961#479—591no—
962#479—591no—
963#479—591no—
964#479C2×D5911yescharacteristic, complemented
965#477—591no—
966#477—591no—
967#477—591no—
968#476—591no—
969#474—591no—
970#474—591no—
971#474—591no—
972#474C2×D5911yescharacteristic, complemented
973#468—591no—
974#468—591no—
975#468—591no—
976#468C2×D5911yescharacteristic, complemented
977#467—591no—
978#467—591no—
979#467—591no—
980#467—591no—
981#465—591no—
982#465—591no—
983#465—591no—
984#465C2×D5911yescharacteristic
985#464—591no—
986#464—591no—
987#464—591no—
988#464—591no—
989#462—591no—
990#461—591no—
991#461—591no—
992#461—591no—
993#461—591no—
994#461—591no—
995#460—591no—
996#460—591no—
997#452—591no—
998#452—591no—
999#451—591no—
1000#451—591no—
1001#450—591no—
1002#450—591no—
1003#450—591no—
1004#450—591no—
1005#448—591no—
1006#448—591no—
1007#448—591no—
1008#448—591no—
1009#446—591no—
1010#446—591no—
1011#441—591no—
1012#441—591no—
1013#441—591no—
1014#441—591no—
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028#440—591no—
1029#440—591no—
1030#440—591no—
1031#440—591no—
1032#440—591no—
1033#440—591no—
1034#440C2×D5911yescharacteristic, complemented
1035C4×Q16—591no—
1036C4×Q16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435C2×D5911yescharacteristic, complemented
1043C8×D4—591no—
1044C8×D4—591no—
1045#432—591no—
1046#432—591no—
1047#432—591no—
1048#428C2×D5911yescharacteristic, complemented
1049C2×#107—591no—
1050C2×#107C2×D5911yescharacteristic, complemented
1051#419—591no—
1052#417—591no—
1053C2×#103—591no—
1054C2×#103—591no—
1055C2×#102—591no—
1056C2×#102—591no—
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97—591no—
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41—1181no—
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8—591no—
1067C22×D4—591no—
1068C22×D4—591no—
1069C22×D4—1181no—
1070C23×C4—1181no—
1071C23×C4—1181no—
1072#137—1184no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×Q16—591no—
1076C2×Q16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—1184no—
1089C2×SD16—1184no—
1090C2×SD16C22×D5911yescharacteristic
1091C2×M16—591no—
1092C2×M16C22×D5911yescharacteristic
1093C22×C8—591no—
1094C22×C8—591no—
1095C22×C8—591no—
1096C22×C8C22×D5911yescharacteristic
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—591no—
1103C4⋊Q8—1181no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8—1181no—
1109C4⋊Q8C22×D5911yescharacteristic
1110#127—591no—
1111#126—21no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—21no—
1116#125—591no—
1117#125—1181no—
1118#125—1181no—
1119#125—1181no—
1120#125—1181no—
1121#125—1181no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125C22×D5911yescharacteristic
1127#124—591no—
1128#124—591no—
1129#124—1181no—
1130#124—1181no—
1131#123—21no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8C22×D5911yescharacteristic
1166C22⋊Q8C22×D5911yescharacteristic
1167#121—21no—
1168#121—591no—
1169#121—591no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121C22×D5911yescharacteristic
1176#121C22×D5911yescharacteristic
1177#120—1181no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—1181no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8C22×D5911yescharacteristic
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239#117—591no—
1240#117—591no—
1241#117—591no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117C22×D5911yescharacteristic
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4C22×D5911yescharacteristic
1256C2×C4⋊C4C22×D5911yescharacteristic
1257C2×C4⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—591no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267C2×C42—1181no—
1268C2×C42—1181no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#107—591no—
1275#107C22×D5911yescharacteristic
1276#107C22×D5911yescharacteristic
1277#107C22×D5911yescharacteristic
1278#107C22×D5911yescharacteristic
1279#107C22×D5911yescharacteristic
1280#107C22×D5911yescharacteristic
1281#106—591no—
1282#106C22×D5911yescharacteristic
1283#106C22×D5911yescharacteristic
1284#106C22×D5911yescharacteristic
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289C4⋊C8—591no—
1290C4⋊C8C22×D5911yescharacteristic
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102C22×D5911yescharacteristic
1321#102C22×D5911yescharacteristic
1322#102C22×D5911yescharacteristic
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326C22⋊C8—591no—
1327C22⋊C8C22×D5911yescharacteristic
1328C22⋊C8C22×D5911yescharacteristic
1329#97—591no—
1330#97—591no—
1331#97—591no—
1332#97—591no—
1333#97—591no—
1334#97—591no—
1335#97—591no—
1336#97C22×D5911yescharacteristic
1337C4×C8—591no—
1338C4×C8—591no—
1339C24—1181no—
1340C24—1181no—
1341#41—1182no—
1342#41—1184no—
1343#41—4722no—
1344#41—2361no—
1345C2×Q8—21no—
1346C2×Q8—591no—
1347C2×Q8—591no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1182no—
1356C2×Q8—1182no—
1357C2×Q8—1181no—
1358C2×Q8—1181no—
1359C2×Q8—1182no—
1360C2×Q8—2361no—
1361C2×Q8—2361no—
1362C2×Q8—2361no—
1363C2×Q8C23×D5911yescharacteristic
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—591no—
1367C2×D4—591no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—1182no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1182no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2364no—
1382C2×D4D4×D5911yescharacteristic
1383C2×D4C23×D5911yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—4722no—
1409C22×C4—4722no—
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412Q16—1182no—
1413Q16—1182no—
1414Q16—2361no—
1415Q16—2361no—
1416SD16—22no—
1417SD16—594no—
1418SD16—1182no—
1419SD16—1182no—
1420SD16—1182no—
1421SD16—1182no—
1422SD16—1182no—
1423SD16—1182no—
1424SD16—2361no—
1425SD16—2361no—
1426SD16—2361no—
1427SD16—2361no—
1428M16—22no—
1429M16—2361no—
1430C2×C8—22no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—591no—
1435C2×C8—1182no—
1436C2×C8—2361no—
1437C2×C8—2361no—
1438C2×C8C23×D5911yescharacteristic
1439C2×C8C23×D5911yescharacteristic
1440C2×C8C23×D5911yescharacteristic
1441C2×C8C23×D5911yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4D4×D5911yescharacteristic
1489C4⋊C4C23×D5911yescharacteristic
1490C4⋊C4C23×D5911yescharacteristic
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—591no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4D4×D5911yescharacteristic
1525C22⋊C4D4×D5911yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—591no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42C23×D5911yescharacteristic
1549C23—21no—
1550C23—591no—
1551C23—1181no—
1552C23—1181no—
1553C23—4721no—
1554C23—4721no—
1555C23—2362no—
1556C23—2362no—
1557C23—2362no—
1558C23—2362no—
1559C23C2×D4×D5911yescharacteristic
1560C23C2×D4×D5911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—81no—
1564Q8—592no—
1565Q8—1182no—
1566Q8—1181no—
1567Q8—1181no—
1568Q8—1181no—
1569Q8—1181no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—2362no—
1577Q8—2362no—
1578Q8—2362no—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—81no—
1584D4—594no—
1585D4—592no—
1586D4—1182no—
1587D4—1181no—
1588D4—1181no—
1589D4—1181no—
1590D4—4721no—
1591D4—4721no—
1592D4—2362no—
1593D4—2362no—
1594D4—2362no—
1595D4—2362no—
1596D4—2362no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—591no—
1619C2×C4—1182no—
1620C2×C4—1182no—
1621C2×C4—1182no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—2361no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4—2362no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2361no—
1642C2×C4—2361no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4C2×D4×D5911yescharacteristic
1647C2×C4C2×D4×D5911yescharacteristic
1648C2×C4C2×D4×D5911yescharacteristic
1649C2×C4C2×D4×D5911yescharacteristic
1650C2×C4C24×D5911yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1181no—
1655C8—1181no—
1656C8—1181no—
1657C8—1181no—
1658C8#41×D5912yes—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—592no—
1668C22—1181no—
1669C22—1181no—
1670C22—1182no—
1671C22—4724no—
1672C22—4724no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22#137×D5912yes—
1679C22C22×D4×D5911yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—592no—
1692C4—1181no—
1693C4—1181no—
1694C4—1181no—
1695C4—1182no—
1696C4—1181no—
1697C4—1181no—
1698C4—1181no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C2×#41×D5911yescharacteristic
1705C4#1683823911yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—81no—
1709C2—1182no—
1710C2—4721no—
1711C2—2362no—
1712C2#2143758311yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3346C2
socleC22×C59C23×D4
prime radical#21437703C2
hypercenter#3346D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
2. #21437675C2semidirect
3. #21437150C2semidirect
4. #21437003C2semidirect
5. #21436913C2semidirect
6. #21436880C2semidirect
7. #21436582C2semidirect
8. #21436486C2semidirect
9. #21436270C2semidirect
10. #21436261C2semidirect
11. #21436180C2semidirect
12. #21436171C2semidirect
13. #21435970C2semidirect
14. #21435918C2semidirect
15. #21435789C2semidirect
16. #21435613C2semidirect
17. #21435611C2semidirect
18. #21434809C2semidirect
19. #21434807C2semidirect
20. #21434798C2semidirect
21. #21434272C2semidirect
22. #21434264C2semidirect
23. #21434253C2semidirect
24. #21434215C2semidirect
25. #21434197C2semidirect
26. #21434192C2semidirect
27. #21433106C2semidirect
28. #21432914C2semidirect
29. C2×#16837501C2semidirect
30. #440×D59C2semidirect
31. C59×#3346C2semidirect
36. #16838132C22semidirect
37. #16838130C22semidirect
43. #16838107C22semidirect
50. D4×Dic118C22semidirect
52. #16838065C22semidirect
58. #16837957C22semidirect
61. #16837954C22semidirect
62. #16837954C22semidirect
72. C2×#14273692C22semidirect
73. C2×#14273692C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837809C22semidirect
79. #16837806C22semidirect
80. #16837796C22semidirect
81. #16837793C22semidirect
83. #16837772C22semidirect
84. #16837769C22semidirect
85. #16837764C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
89. #16837743C22semidirect
90. #16837739C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837737C22semidirect
94. #16837737C22semidirect
96. #16837715C22semidirect
97. #16837712C22semidirect
98. #16837712C22semidirect
99. #16837706C22semidirect
100. #16837696C22semidirect
101. #16837696C22semidirect
102. #16837696C22semidirect
105. #16837681C22semidirect
107. #16837650C22semidirect
108. #16837648C22semidirect
109. #16837646C22semidirect
110. #16837644C22semidirect
111. #16837644C22semidirect
112. #16837643C22semidirect
113. #16837641C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837623C22semidirect
120. #16837623C22semidirect
121. #16837611C22semidirect
123. #16837607C22semidirect
126. #16837606C22semidirect
131. #16837560C22semidirect
132. #16837559C22semidirect
137. #16837543C22semidirect
140. #16837540C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837508C22semidirect
144. #16837508C22semidirect
145. #16837508C22semidirect
146. #16837506C22semidirect
148. #16837505C22semidirect
150. #16837503C22semidirect
151. #16837502C22semidirect
157. #16837501C22semidirect
158. #16837501C22semidirect
159. #16837501C22semidirect
160. #16837501C22semidirect
161. #16837501C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837496C22semidirect
167. #16837496C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #107×D59C22semidirect
179. #16837410C22semidirect
181. C2×#14273650C22semidirect
182. #103×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#554C22semidirect
190. C59×#501C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
194. C59×#480C22semidirect
195. C59×#479C22semidirect
196. C59×#474C22semidirect
197. C59×#468C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#428C22semidirect
202. C2×#107×C59C22semidirect
688. #11745660#41semidirect
737. C22⋊D59#137semidirect
856. #3346D59semidirect
903. #554C2×D59semidirect
938. #501C2×D59semidirect
950. #485C2×D59semidirect
956. #484C2×D59semidirect
960. #480C2×D59semidirect
964. #479C2×D59semidirect
972. #474C2×D59semidirect
976. #468C2×D59semidirect
1034. #440C2×D59semidirect
1042. #435C2×D59semidirect
1048. #428C2×D59semidirect
1050. C2×#107C2×D59semidirect
1060. C59#61453semidirect

Maximal subgroups

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

subgroupindex
#214377032
#214376752
#214371502
#214370032
#214369132
#214368802
#214365822
#214364862
#214362702
#214362612
#214361802
#214361712
#214359702
#214359182
#214357892
#214356132
#214356112
#214348092
#214348072
#214347982
#214342722
#214342642
#214342532
#214342152
#214341972
#214341922
#214331062
#214329142
C2×#168375012
#440×D592
C59×#33462
#6145359