Finite Group Databasebeta

← #29470728

Subgroups — #29470728

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437701C211yesmaximal, characteristic, complemented
2#21437686C211yesmaximal, characteristic, complemented
3#21437187C211yesmaximal, characteristic, complemented
4#21437037C211yesmaximal, characteristic, complemented
5#21436868C211yesmaximal, characteristic, complemented
6#21436853C211yesmaximal, characteristic, complemented
7#21436647C211yesmaximal, characteristic, complemented
8#21436587C211yesmaximal, characteristic, complemented
9#21436499C211yesmaximal, characteristic, complemented
10#21436241C211yesmaximal, characteristic, complemented
11#21436211C211yesmaximal, characteristic, complemented
12#21436136C211yesmaximal, characteristic, complemented
13#21436106C211yesmaximal, characteristic, complemented
14#21435998C211yesmaximal, characteristic, complemented
15#21435946C211yesmaximal, characteristic, complemented
16#21435636C211yesmaximal, characteristic, complemented
17#21435591C211yesmaximal, characteristic, complemented
18#21434822C211yesmaximal, characteristic, complemented
19#21434787C211yesmaximal, characteristic, complemented
20#21434787C211yesmaximal, characteristic, complemented
21#21434268C211yesmaximal, characteristic, complemented
22#21434240C211yesmaximal, characteristic, complemented
23#21434233C211yesmaximal, characteristic, complemented
24#21434206C211yesmaximal, characteristic, complemented
25#21434204C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433104C211yesmaximal, characteristic, complemented
28C4×#14273754C211yesmaximal, characteristic, complemented
29#21432897C211yesmaximal, characteristic, complemented
30C2×#16837503C211yesmaximal, characteristic, complemented
31C59×#3282C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33#16838134—21no—
34#16838134C2211yescharacteristic
35#16838134C2211yescharacteristic, complemented
36#16838128C2211yescharacteristic, complemented
37#16838123—21no—
38#16838123C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic
40#16838110C2211yescharacteristic
41#16838104—21no—
42#16838104C2211yescharacteristic
43#16838099C2211yescharacteristic
44#16838098—21no—
45#16838098C2211yescharacteristic
46#16838098C2211yescharacteristic, complemented
47#16838095—21no—
48#16838078—21no—
49#16838075—21no—
50#16838071C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic
52#16838040C2211yescharacteristic
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic
55#16837947—21no—
56#16837947C2211yescharacteristic
57#16837947C2211yescharacteristic, complemented
58#16837938—21no—
59#16837938C2211yescharacteristic
60#16837938C2211yescharacteristic, complemented
61#16837931—21no—
62#16837931C2211yescharacteristic
63#16837931C2211yescharacteristic, complemented
64#16837929—21no—
65#16837912—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745689C2211yescharacteristic, complemented
70C4×#11745687—21no—
71C4×#11745687C2211yescharacteristic
72C2×Q8×Dic59C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic
74C2×(C22⋊D59)⋊C4—21no—
75C4×D4×D59C2211yescharacteristic
76#16837809C2211yescharacteristic, complemented
77#16837809C2211yescharacteristic, complemented
78#16837804C2211yescharacteristic, complemented
79#16837788C2211yescharacteristic
80#16837788C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic
82#16837765C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837756C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837735C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic
94#16837723C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic
96#16837721C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837709C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic
104#16837703C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic
107#16837690C2211yescharacteristic
108#16837690C2211yescharacteristic, complemented
109#16837685C2211yescharacteristic, complemented
110#16837680C2211yescharacteristic, complemented
111#16837657C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic
113#16837645C2211yescharacteristic
114#16837645C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic
116#16837638C2211yescharacteristic, complemented
117#16837636C2211yescharacteristic
118#16837636C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic
125#16837614C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic
128#16837595C2211yescharacteristic
129#16837595C2211yescharacteristic
130#16837595C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic
133#16837547C2211yescharacteristic
134#16837547C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic
136#16837541C2211yescharacteristic
137#16837536C2211yescharacteristic
138#16837534C2211yescharacteristic
139#16837532C2211yescharacteristic, complemented
140#16837529C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic
143#16837514C2211yescharacteristic, complemented
144#16837513C2211yescharacteristic, complemented
145#16837511C2211yescharacteristic
146#16837511C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic, complemented
148#16837509C2211yescharacteristic, complemented
149#16837509C2211yescharacteristic, complemented
150#16837509C2211yescharacteristic, complemented
151#16837505C2211yescharacteristic, complemented
152#16837505C2211yescharacteristic, complemented
153#16837505C2211yescharacteristic, complemented
154#16837503C2211yescharacteristic
155#16837503C2211yescharacteristic
156#16837503C2211yescharacteristic
157#16837503C2211yescharacteristic
158#16837503C2211yescharacteristic
159#16837503C2211yescharacteristic, complemented
160#16837503C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×D472C2211yescharacteristic, complemented
167C4×#11745669C2211yescharacteristic
168#16837473C2211yescharacteristic
169#16837473C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic
171#16837470C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173#16837458C2211yescharacteristic, complemented
174#16837456C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177#16837440C2211yescharacteristic, complemented
178C2×#14273661C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic
180#16837402C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic
182#16837398C2211yescharacteristic, complemented
183C2×#14273651C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic
185C4×#11745659C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187C2×#14273637C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic
189C22×SD16×C59C2211yescharacteristic
190C59×#548C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#495C2211yescharacteristic, complemented
193C59×#465C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic
197C59×#452C2211yescharacteristic
198C59×#451C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic
201C4×SD16×C59C2211yescharacteristic
202C8×D4×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C22×C22⋊D59—21no—
208C2×D4×D59C2311yescharacteristic
209C23×Dic59—21no—
210C22×C4×D59—21no—
211#14273754—24no—
212C2×#11745671C2311yescharacteristic
213C2×#11745671C2311yescharacteristic
214C2×#11745671C2311yescharacteristic
215C2×D472C2311yescharacteristic
216C2×#11745669C2311yescharacteristic
217C2×#11745669C2311yescharacteristic
218C2×#11745669C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220C2×#11745659C2311yescharacteristic
221C22×C59⋊C8C2311yescharacteristic
222C22×C59⋊C8C2311yescharacteristic
223#14273726—21no—
224#14273726C2311yescharacteristic
225#14273726C2311yescharacteristic
226#14273723—21no—
227#14273723C2311yescharacteristic
228#14273723C2311yescharacteristic
229#14273722—21no—
230#14273722—21no—
231#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720—21no—
238#14273720—21no—
239#14273719—21no—
240#14273719C2311yescharacteristic
241#14273719C2311yescharacteristic
242#14273718—21no—
243#14273718C2311yescharacteristic
244#14273718C2311yescharacteristic
245#14273717—21no—
246#14273716—21no—
247#14273716C2311yescharacteristic
248#14273716C2311yescharacteristic
249#14273713—21no—
250#14273713—21no—
251#14273713—21no—
252#14273713—21no—
253#14273713—21no—
254#14273711—21no—
255#14273711—21no—
256#14273711—21no—
257#14273711—21no—
258#14273711—21no—
259#14273710—21no—
260#14273709—21no—
261#14273709—21no—
262#14273709—21no—
263#14273709—21no—
264#14273709—21no—
265#14273709—21no—
266#14273708—21no—
267#14273707—21no—
268#14273706—21no—
269#14273704—21no—
270#14273704—21no—
271#14273704—21no—
272#14273703—21no—
273#14273703C2311yescharacteristic
274#14273703C2311yescharacteristic
275#14273701—21no—
276#14273701—21no—
277#14273701C2311yescharacteristic
278#14273701C2311yescharacteristic
279#14273701C2311yescharacteristic
280#14273701C2311yescharacteristic
281#14273699—21no—
282#14273699—21no—
283#14273699—21no—
284#14273699—21no—
285#14273699—21no—
286#14273699—21no—
287#14273699—21no—
288#14273698—21no—
289#14273698—21no—
290#14273698C2311yescharacteristic
291#14273698C2311yescharacteristic
292#14273696—21no—
293#14273695—21no—
294#14273695—21no—
295Q8×Dic59—21no—
296Q8×Dic59—21no—
297Q8×Dic59C2311yescharacteristic
298Q8×Dic59C2311yescharacteristic
299Q8×Dic59C2311yescharacteristic
300Q8×Dic59C2311yescharacteristic
301Q8×Dic59C2311yescharacteristic
302Q8×Dic59C2311yescharacteristic
303Q8×Dic59C2311yescharacteristic
304C4×Dic118—21no—
305C4×Dic118C2311yescharacteristic
306#14273692—21no—
307#14273692D411yescharacteristic
308C4×D236—21no—
309C4×D236C2311yescharacteristic
310C4×D236C2311yescharacteristic
311D4×Dic59—21no—
312D4×Dic59—21no—
313D4×Dic59—21no—
314D4×Dic59—21no—
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59D411yescharacteristic
319D4×Dic59C2311yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322D4×Dic59C2311yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326#14273689—21no—
327#14273689C2311yescharacteristic
328#14273689C2311yescharacteristic
329C4×C22⋊D59—21no—
330C4×C22⋊D59—21no—
331C4×C22⋊D59—21no—
332C4×C22⋊D59C2311yescharacteristic
333C4×C22⋊D59C2311yescharacteristic
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4D411yescharacteristic
348(C22⋊D59)⋊C4D411yescharacteristic
349#14273686—21no—
350#14273686—21no—
351#14273686C2311yescharacteristic
352#14273686C2311yescharacteristic
353#14273685—21no—
354#14273685—21no—
355#14273685—21no—
356#14273685D411yescharacteristic
357#14273685C2311yescharacteristic
358#14273683—21no—
359#14273683—21no—
360#14273683D411yescharacteristic
361#14273683D411yescharacteristic
362C2×C4⋊Dic59—21no—
363C2×C4⋊Dic59C2311yescharacteristic
364C2×C4⋊Dic59C2311yescharacteristic
365C2×Dic59⋊C4—21no—
366C4⋊C4×D59C2311yescharacteristic
367C2×C22⋊Dic59—21no—
368C2×(C2×D59)⋊C4—21no—
369C22⋊C4×D59—21no—
370C2×C4×Dic59—21no—
371C2×C4×Dic59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59C2311yescharacteristic
374C2×C4×Dic59C2311yescharacteristic
375C42×D59—21no—
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392C4⋊(C59⋊C8)C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397#14273651C2311yescharacteristic
398#14273651C2311yescharacteristic
399#14273651C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427#14273637C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440#135×C59—24no—
441C2×Q16×C59C2311yescharacteristic
442C2×Q16×C59C2311yescharacteristic
443C2×SD16×C59—24no—
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#120×C59—21no—
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
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
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—22no—
485#41×C59—41no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59—22no—
489C2×Q8×C59—41no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—44no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—82no—
534C22×Dic59C2×D411yescharacteristic
535C22×Dic59C2×D411yescharacteristic
536C22×Dic59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538#11745689—22no—
539#11745689—41no—
540#11745687—42no—
541#11745687—44no—
542#11745687—82no—
543D4×D59—22no—
544D4×D59—41no—
545C2×D236—21no—
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—82no—
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2×D411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2×D411yescharacteristic
561Q16×C59—22no—
562Q16×C59—41no—
563SD16×C59—22no—
564SD16×C59—22no—
565SD16×C59—22no—
566SD16×C59—22no—
567SD16×C59#4114yescomplemented
568D8×C59—22no—
569D8×C59—41no—
570C2×C8×C59—22no—
571C2×C8×C59—22no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C42×C59—21no—
594C42×C59C2411yescharacteristic
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608#11745671—22no—
609#11745671—41no—
610#11745671—41no—
611#11745669—22no—
612#11745669—41no—
613#11745669—41no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59C2×D411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C2×C59⋊C8—41no—
684C2×C59⋊C8—41no—
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689D472—22no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—81no—
698C23×C59C22×D411yescharacteristic
699C23×C59C22×D411yescharacteristic
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—81no—
705C22×D59C22×D411yescharacteristic
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—42no—
712Q8×C59C2×#4112yes—
713D4×C59—22no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—42no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—81no—
724D4×C59C2×#4112yes—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—42no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—81no—
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C2511yescharacteristic
743C22⋊D59—22no—
744C22⋊D59—41no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—81no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C22⋊D59—81no—
756C2×Dic59—22no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—41no—
764C2×Dic59—41no—
765C2×Dic59—41no—
766C2×Dic59—42no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—42no—
787C4×D59—21no—
788C4×D59—21no—
789C4×D59—41no—
790C4×D59—41no—
791C4×D59—42no—
792C4×D59—42no—
793C4×D59—42no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797Dic118—41no—
798Dic118—42no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—22no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—84no—
824C22×C59#57512yes—
825C22×C59C23×D411yescharacteristic
826C2×D59—21no—
827C2×D59—21no—
828C2×D59—21no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—84no—
836C4×C59—21no—
837C4×C59—22no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59C22×#4111yescharacteristic
846C4×C59#58511yescharacteristic
847Dic59—21no—
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481—591no—
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282D5911yescharacteristic, complemented
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—22no—
892C2×C59—42no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59—81no—
896C2×C59D4×#4111yescharacteristic
897C2×C59C2×#57511yescharacteristic
898C2×C59#358511yescharacteristic
899D59—41no—
900D59—81no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135C2×D5911yescharacteristic
904C22×SD16C2×D5911yescharacteristic
905#559—591no—
906#559—591no—
907#559—1181no—
908#557—591no—
909#556—591no—
910#556—1181no—
911#554—591no—
912#554—591no—
913#553—591no—
914#553—591no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553—1181no—
919#553—1181no—
920#551—1181no—
921#551—1181no—
922#550—591no—
923#548—591no—
924#548C2×D5911yescharacteristic, complemented
925#546—591no—
926#546—1181no—
927#546C2×D5911yescharacteristic
928D42—591no—
929#532—591no—
930#532—591no—
931#532—1181no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—1181no—
946C2×C4×Q8—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495C2×D5911yescharacteristic, complemented
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465C2×D5911yescharacteristic, complemented
997#465C2×D5911yescharacteristic, complemented
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464C2×D5911yescharacteristic, complemented
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463C2×D5911yescharacteristic
1006#460—591no—
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452C2×D5911yescharacteristic
1012#451C2×D5911yescharacteristic, complemented
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449C2×D5911yescharacteristic, complemented
1018#448—591no—
1019#447—591no—
1020#447—591no—
1021#447C2×D5911yescharacteristic
1022#446—591no—
1023#446—591no—
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048C4×SD16—591no—
1049C4×SD16C2×D5911yescharacteristic
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056C8×D4—591no—
1057C8×D4C2×D5911yescharacteristic, complemented
1058#432—591no—
1059#432—591no—
1060#432—591no—
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97—591no—
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—591no—
1075C2×#41—591no—
1076C2×#41—1181no—
1077C2×#41—1181no—
1078C2×#41C22×D5911yescharacteristic
1079C2×#41C22×D5911yescharacteristic
1080C22×Q8C22×D5911yescharacteristic
1081C22×D4—591no—
1082C22×D4—1181no—
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—1181no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—1184no—
1087#135—24no—
1088C2×Q16C22×D5911yescharacteristic
1089C2×Q16C22×D5911yescharacteristic
1090C2×SD16—24no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16C22×D5911yescharacteristic
1095C2×SD16C22×D5911yescharacteristic
1096C2×SD16C22×D5911yescharacteristic
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8C22×D5911yescharacteristic
1104C2×D8C22×D5911yescharacteristic
1105C2×M16—591no—
1106C2×M16—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8C22×D5911yescharacteristic
1110C22×C8C22×D5911yescharacteristic
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—1181no—
1114#127—591no—
1115#127—591no—
1116#127—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—591no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#124—21no—
1135#124—591no—
1136#124—591no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124—1181no—
1143#124C22×D5911yescharacteristic
1144#124C22×D5911yescharacteristic
1145#123—21no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—21no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8C22×D5911yescharacteristic
1169C22⋊Q8C22×D5911yescharacteristic
1170#121—21no—
1171#121—21no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121C22×D5911yescharacteristic
1190#121C22×D5911yescharacteristic
1191#120—21no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—591no—
1204C4×Q8—1181no—
1205C4×Q8—1181no—
1206C4×Q8—1181no—
1207C4×Q8—1181no—
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
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—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
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×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—591no—
1254#117—591no—
1255#117—591no—
1256#117—591no—
1257#117—591no—
1258#117—591no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264#117—1181no—
1265#117—1181no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C4⋊C4—1181no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—591no—
1276C2×C42—591no—
1277C2×C42—591no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106C22×D5911yescharacteristic
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8C22×D5911yescharacteristic
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350C4×C8—591no—
1351C4×C8C22×D5911yescharacteristic
1352C24—21no—
1353C24—1181no—
1354#41—22no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—1182no—
1359#41—4722no—
1360#41—2362no—
1361#41—2364no—
1362#41—2361no—
1363C2×Q8—21no—
1364C2×Q8—22no—
1365C2×Q8—41no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8C23×D5911yescharacteristic
1370C2×Q8C23×D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—41no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—591no—
1382C2×D4—591no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1182no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—2361no—
1397C2×D4—2364no—
1398C2×D4D4×D5911yescharacteristic
1399C2×D4C23×D5911yescharacteristic
1400C2×D4C23×D5911yescharacteristic
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—4722no—
1429C22×C4—4722no—
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—22no—
1433Q16—41no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—1182no—
1439SD16—2361no—
1440SD16—2361no—
1441SD16#1174568714yescomplemented
1442D8—22no—
1443D8—41no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447D8—2361no—
1448M16—1182no—
1449M16—2361no—
1450C2×C8—22no—
1451C2×C8—22no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—2361no—
1457C2×C8—2361no—
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C2×C8C23×D5911yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
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⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4D4×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
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⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4D4×D5911yescharacteristic
1541C22⋊C4D4×D5911yescharacteristic
1542C42—21no—
1543C42—591no—
1544C42—591no—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—42no—
1567C23—42no—
1568C23—81no—
1569C23—591no—
1570C23—1181no—
1571C23—1181no—
1572C23—4721no—
1573C23—2362no—
1574C23—2362no—
1575C23C2×D4×D5911yescharacteristic
1576C23C2×D4×D5911yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—42no—
1583Q8—4721no—
1584Q8—2361no—
1585Q8—2362no—
1586Q8C2×#1174568712yes—
1587D4—22no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—81no—
1598D4—1182no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—1181no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—4721no—
1608D4—2362no—
1609D4—2361no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4C2×#1174568712yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—81no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—1182no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2361no—
1655C2×C4—2361no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2361no—
1660C2×C4—2361no—
1661C2×C4—2361no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1181no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8C2×#1174568712yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—22no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—84no—
1694C22—1181no—
1695C22—1181no—
1696C22—1181no—
1697C22—4724no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683819912yes—
1705C22C22×D4×D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—1181no—
1716C4—1181no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—2361no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C22×#1174568711yescharacteristic
1729C4#1683823711yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—81no—
1735C2—4721no—
1736C2—4721no—
1737C2—2361no—
1738C2D4×#1174568711yescharacteristic
1739C2C2×#1683819911yescharacteristic
1740C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3282C2
socleC22×C59C23×D4
hypercenter#3282D59
hypocenterC59#61456
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21437701C2semidirect
2. #21437686C2semidirect
3. #21437187C2semidirect
4. #21437037C2semidirect
5. #21436868C2semidirect
6. #21436853C2semidirect
7. #21436647C2semidirect
8. #21436587C2semidirect
9. #21436499C2semidirect
10. #21436241C2semidirect
11. #21436211C2semidirect
12. #21436136C2semidirect
13. #21436106C2semidirect
14. #21435998C2semidirect
15. #21435946C2semidirect
16. #21435636C2semidirect
17. #21435591C2semidirect
18. #21434822C2semidirect
19. #21434787C2semidirect
20. #21434787C2semidirect
21. #21434268C2semidirect
22. #21434240C2semidirect
23. #21434233C2semidirect
24. #21434206C2semidirect
25. #21434204C2semidirect
26. #21434182C2semidirect
27. #21433104C2semidirect
28. C4×#14273754C2semidirect
29. #21432897C2semidirect
30. C2×#16837503C2semidirect
31. C59×#3282C2semidirect
35. #16838134C22semidirect
36. #16838128C22semidirect
38. #16838123C22semidirect
46. #16838098C22semidirect
50. #16838071C22semidirect
57. #16837947C22semidirect
60. #16837938C22semidirect
63. #16837931C22semidirect
68. #41×Dic59C22semidirect
69. C4×#11745689C22semidirect
72. C2×Q8×Dic59C22semidirect
76. #16837809C22semidirect
77. #16837809C22semidirect
78. #16837804C22semidirect
80. #16837788C22semidirect
82. #16837765C22semidirect
83. #16837763C22semidirect
84. #16837763C22semidirect
85. #16837756C22semidirect
86. #16837756C22semidirect
87. #16837742C22semidirect
88. #16837740C22semidirect
89. #16837735C22semidirect
90. #16837731C22semidirect
91. #16837727C22semidirect
92. #16837727C22semidirect
94. #16837723C22semidirect
96. #16837721C22semidirect
97. #16837718C22semidirect
98. #16837714C22semidirect
99. #16837711C22semidirect
100. #16837709C22semidirect
101. #16837707C22semidirect
102. #16837707C22semidirect
104. #16837703C22semidirect
105. #16837703C22semidirect
108. #16837690C22semidirect
109. #16837685C22semidirect
110. #16837680C22semidirect
111. #16837657C22semidirect
114. #16837645C22semidirect
116. #16837638C22semidirect
118. #16837636C22semidirect
119. #16837633C22semidirect
120. #16837633C22semidirect
121. #16837626C22semidirect
122. #16837626C22semidirect
123. #16837626C22semidirect
125. #16837614C22semidirect
126. #16837614C22semidirect
130. #16837595C22semidirect
131. #16837563C22semidirect
134. #16837547C22semidirect
139. #16837532C22semidirect
140. #16837529C22semidirect
143. #16837514C22semidirect
144. #16837513C22semidirect
146. #16837511C22semidirect
147. #16837511C22semidirect
148. #16837509C22semidirect
149. #16837509C22semidirect
150. #16837509C22semidirect
151. #16837505C22semidirect
152. #16837505C22semidirect
153. #16837505C22semidirect
159. #16837503C22semidirect
160. #16837503C22semidirect
161. #16837503C22semidirect
162. #16837503C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. C4×#11745671C22semidirect
166. C4×D472C22semidirect
169. #16837473C22semidirect
171. #16837470C22semidirect
172. D4×C59⋊C8C22semidirect
173. #16837458C22semidirect
174. #16837456C22semidirect
175. #16837456C22semidirect
176. #16837441C22semidirect
177. #16837440C22semidirect
178. C2×#14273661C22semidirect
180. #16837402C22semidirect
182. #16837398C22semidirect
183. C2×#14273651C22semidirect
185. C4×#11745659C22semidirect
186. C2×#14273637C22semidirect
187. C2×#14273637C22semidirect
190. C59×#548C22semidirect
192. C59×#495C22semidirect
193. C59×#465C22semidirect
194. C59×#465C22semidirect
195. C59×#464C22semidirect
198. C59×#451C22semidirect
199. C59×#449C22semidirect
202. C8×D4×C59C22semidirect
567. SD16×C59#41semidirect
875. #3282D59semidirect
924. #548C2×D59semidirect
955. #495C2×D59semidirect
996. #465C2×D59semidirect
997. #465C2×D59semidirect
1001. #464C2×D59semidirect
1012. #451C2×D59semidirect
1017. #449C2×D59semidirect
1057. C8×D4C2×D59semidirect
1073. C59#61456semidirect
1441. SD16#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377012
#214376862
#214371872
#214370372
#214368682
#214368532
#214366472
#214365872
#214364992
#214362412
#214362112
#214361362
#214361062
#214359982
#214359462
#214356362
#214355912
#214348222
#214347872
#214342682
#214342402
#214342332
#214342062
#214342042
#214341822
#214331042
C4×#142737542
#214328972
C2×#168375032
C59×#32822
#6145659