Finite Group Databasebeta

← #29470471

Subgroups — #29470471

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437708C211yesmaximal, characteristic, complemented
2#21437701C211yesmaximal, characteristic, complemented
3#21437159C211yesmaximal, characteristic, complemented
4#21437034C211yesmaximal, characteristic, complemented
5#21436924C211yesmaximal, characteristic, complemented
6#21436863C211yesmaximal, characteristic, complemented
7#21436660C211yesmaximal, characteristic, complemented
8#21436566C211yesmaximal, characteristic, complemented
9#21436555C211yesmaximal, characteristic, complemented
10#21436355C211yesmaximal, characteristic, complemented
11#21436313C211yesmaximal, characteristic, complemented
12#21436269C211yesmaximal, characteristic, complemented
13#21436213C211yesmaximal, characteristic, complemented
14#21436113C211yesmaximal, characteristic, complemented
15#21435725C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435595C211yesmaximal, characteristic, complemented
18#21434705C211yesmaximal, characteristic, complemented
19#21434686C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434179C211yesmaximal, characteristic, complemented
22#21434138C211yesmaximal, characteristic, complemented
23#21434124C211yesmaximal, characteristic, complemented
24#21434111C211yesmaximal, characteristic, complemented
25#21434107C211yesmaximal, characteristic, complemented
26#21434106C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432920C211yesmaximal, characteristic, complemented
29#21432907C211yesmaximal, characteristic, complemented
30C2×#16837493C211yesmaximal, characteristic, complemented
31C59×#3306C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C22×#11745670C2211yescharacteristic
35#16838134C2211yescharacteristic
36#16838127C2211yescharacteristic, complemented
37#16838123—21no—
38#16838122C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic
40#16838110C2211yescharacteristic
41#16838099C2211yescharacteristic
42#16838098C2211yescharacteristic
43#16838095—21no—
44#16838089—21no—
45#16838089—21no—
46#16838087C2211yescharacteristic
47#16838087C2211yescharacteristic, complemented
48#16838078—21no—
49#16838075—21no—
50D4×Dic118C2211yescharacteristic, complemented
51#16838058C2211yescharacteristic
52#16838058C2211yescharacteristic, complemented
53#16838051—21no—
54#16838040C2211yescharacteristic
55#16838039—21no—
56D4×C22⋊D59C2211yescharacteristic
57#16837957C2211yescharacteristic, complemented
58#16837954—21no—
59#16837947C2211yescharacteristic
60#16837938C2211yescharacteristic
61#16837933C2211yescharacteristic, complemented
62#16837933C2211yescharacteristic, complemented
63#16837931C2211yescharacteristic
64#16837929—21no—
65#16837929—21no—
66#16837929—21no—
67#16837912—21no—
68#16837908—21no—
69#41×Dic59—21no—
70#41×Dic59C2211yescharacteristic
71C4×#11745687C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×#14273692C2211yescharacteristic, complemented
74C2×#14273692C2211yescharacteristic, complemented
75C2×D4×Dic59C2211yescharacteristic
76C2×(C22⋊D59)⋊C4—21no—
77C4×D4×D59C2211yescharacteristic
78#16837809C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837802C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic
86#16837760C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic
95#16837723C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic
99#16837712C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic
104#16837702C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic
106#16837700C2211yescharacteristic, complemented
107#16837689C2211yescharacteristic, complemented
108#16837686C2211yescharacteristic, complemented
109#16837686C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic
115#16837647C2211yescharacteristic
116#16837646C2211yescharacteristic, complemented
117#16837641C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic
119#16837631C2211yescharacteristic
120#16837627C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic
125#16837615C2211yescharacteristic
126#16837615C2211yescharacteristic, complemented
127#16837608C2211yescharacteristic, complemented
128#16837607C2211yescharacteristic
129#16837601C2211yescharacteristic
130#16837601C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837561C2211yescharacteristic, complemented
133#16837557C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic
135#16837554C2211yescharacteristic
136#16837553C2211yescharacteristic
137#16837544C2211yescharacteristic
138#16837543C2211yescharacteristic
139#16837543C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic, complemented
144#16837506C2211yescharacteristic, complemented
145#16837506C2211yescharacteristic, complemented
146#16837504C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic
148#16837499C2211yescharacteristic
149#16837499C2211yescharacteristic
150#16837494C2211yescharacteristic, complemented
151#16837494C2211yescharacteristic, complemented
152#16837494C2211yescharacteristic, complemented
153#16837493C2211yescharacteristic
154#16837493C2211yescharacteristic
155#16837493C2211yescharacteristic
156#16837493C2211yescharacteristic
157#16837493C2211yescharacteristic
158#16837493C2211yescharacteristic, complemented
159#16837493C2211yescharacteristic, complemented
160#16837493C2211yescharacteristic, complemented
161#16837493C2211yescharacteristic, complemented
162#16837493C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164#16837489C2211yescharacteristic, complemented
165#16837489C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167D8×Dic59C2211yescharacteristic
168D8×Dic59C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic
174#16837470C2211yescharacteristic
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837442C2211yescharacteristic, complemented
179#16837441C2211yescharacteristic, complemented
180C2×#14273658C2211yescharacteristic, complemented
181#16837412C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic
183#16837400C2211yescharacteristic, complemented
184C2×#14273652C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#447C2211yescharacteristic
199C59×#442C2211yescharacteristic
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic
202C2×#102×C59C2211yescharacteristic
203C2×#11745687—21no—
204C2×#11745687D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C23×Dic59—21no—
211C22×C4×D59—21no—
212#14273757—24no—
213#14273751—24no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670—24no—
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745664C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273726—21no—
234#14273726C2311yescharacteristic
235#14273725—21no—
236#14273723C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719C2311yescharacteristic
248#14273718—21no—
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273716C2311yescharacteristic
258#14273714C2311yescharacteristic
259#14273714C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273710—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273707—21no—
276#14273707C2311yescharacteristic
277#14273707C2311yescharacteristic
278#14273706—21no—
279#14273706—21no—
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273703—21no—
290#14273703C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273699—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273699—21no—
299#14273698—21no—
300#14273698C2311yescharacteristic
301#14273696—21no—
302#14273695—21no—
303#14273695—21no—
304Q8×Dic59—21no—
305Q8×Dic59—21no—
306Q8×Dic59C2311yescharacteristic
307Q8×Dic59C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310#14273692—21no—
311#14273692—21no—
312#14273692—21no—
313#14273692—21no—
314#14273692D411yescharacteristic
315#14273692C2311yescharacteristic
316#14273692C2311yescharacteristic
317#14273692C2311yescharacteristic
318#14273692C2311yescharacteristic
319#14273692C2311yescharacteristic
320#14273692C2311yescharacteristic
321#14273692C2311yescharacteristic
322C4×D236C2311yescharacteristic
323D4×Dic59—21no—
324D4×Dic59—21no—
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59—21no—
328D4×Dic59—21no—
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59D411yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59C2311yescharacteristic
343C4×C22⋊D59C2311yescharacteristic
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4D411yescharacteristic
354(C22⋊D59)⋊C4D411yescharacteristic
355#14273686—21no—
356#14273686—21no—
357#14273686—21no—
358#14273686—21no—
359#14273686C2311yescharacteristic
360#14273685—21no—
361#14273685—21no—
362#14273685D411yescharacteristic
363#14273685C2311yescharacteristic
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683D411yescharacteristic
369#14273683D411yescharacteristic
370C2×C4⋊Dic59C2311yescharacteristic
371C2×Dic59⋊C4—21no—
372C2×Dic59⋊C4—21no—
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
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
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59—21no—
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449#123×C59—21no—
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59—21no—
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#120×C59—21no—
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485#41×C59—44no—
486C2×Q8×C59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—41no—
495C2×D4×C59C2×D411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C22×C4×C59C2411yescharacteristic
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—44no—
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—82no—
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531#11745687—22no—
532#11745687—41no—
533#11745687—42no—
534#11745687—82no—
535D4×D59—22no—
536D4×D59—41no—
537C2×D236C2411yescharacteristic
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—82no—
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2×D411yescharacteristic
544C2×C4×D59C2411yescharacteristic
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—41no—
551C2×Dic118—41no—
552C2×Dic118C2×D411yescharacteristic
553C2×Dic118C2411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556SD16×C59—41no—
557D8×C59—22no—
558D8×C59—41no—
559M16×C59—41no—
560C2×C8×C59—41no—
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59C2×D411yescharacteristic
583C22⋊C4×C59C2×D411yescharacteristic
584C42×C59C2411yescharacteristic
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59C2×D411yescharacteristic
600C22⋊Dic59C2×D411yescharacteristic
601#11745672—22no—
602#11745672—22no—
603#11745672—41no—
604#11745670—22no—
605#11745670—22no—
606#11745670—22no—
607#11745670—22no—
608#11745670—41no—
609#11745670#4114yescomplemented
610#11745669—22no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
622(C2×D59)⋊C4C2×D411yescharacteristic
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
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×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681#11745664—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687#11745660—22no—
688#11745660—41no—
689#11745660—41no—
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—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—42no—
708D4×C59—22no—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—42no—
715D4×C59—42no—
716D4×C59—42no—
717D4×C59—42no—
718D4×C59—81no—
719D4×C59C2×#4112yes—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59—42no—
733C2×C4×C59—81no—
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C2511yescharacteristic
739C22⋊D59—22no—
740C22⋊D59—41no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—81no—
747C22⋊D59—81no—
748C2×Dic59—22no—
749C2×Dic59—21no—
750C2×Dic59—22no—
751C2×Dic59—22no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—41no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—42no—
762C2×Dic59—42no—
763C2×Dic59—42no—
764C2×Dic59—42no—
765C2×Dic59—42no—
766C2×Dic59—81no—
767C2×Dic59—81no—
768C2×Dic59—81no—
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776D236—21no—
777D236—21no—
778C4×D59—21no—
779C4×D59—21no—
780C4×D59—22no—
781C4×D59—41no—
782C4×D59—42no—
783C4×D59—81no—
784C4×D59—81no—
785Dic118—21no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—41no—
791Dic118—42no—
792Dic118—42no—
793Dic118—81no—
794Dic118C2×#4112yes—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—22no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—84no—
819C22×C59#57512yes—
820C22×C59C23×D411yescharacteristic
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59C22×#4111yescharacteristic
838C4×C59#58511yescharacteristic
839Dic59—22no—
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—21no—
845Dic59—21no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57712yes—
853#3482—591no—
854#3481—591no—
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320—591no—
865#3316—591no—
866#3310—591no—
867#3306D5911yescharacteristic, complemented
868#3275—591no—
869#3266—591no—
870#3265—591no—
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965—591no—
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—42no—
886C2×C59—41no—
887C2×C59—81no—
888C2×C59—81no—
889C2×C59D4×#4111yescharacteristic
890C2×C59C2×#57511yescharacteristic
891C2×C59C2×#57711yescharacteristic
892D59—41no—
893D59—81no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)—591no—
896C22×SD16—591no—
897#559—591no—
898#557—591no—
899#556—591no—
900#556—1181no—
901#554—591no—
902#554—591no—
903#553—591no—
904#553—591no—
905#553—1181no—
906#552—591no—
907#552—591no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8—591no—
913#548—591no—
914#548—591no—
915#547—1181no—
916#547C2×D5911yescharacteristic, complemented
917#546—591no—
918#546—1181no—
919#546C2×D5911yescharacteristic
920D42—591no—
921#533—591no—
922#533—1181no—
923#532—591no—
924#529—591no—
925#529—591no—
926#529—591no—
927#529—591no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—591no—
936C4×#41—1181no—
937C2×C4×Q8—591no—
938C2×C4×Q8—591no—
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496—591no—
947#495—591no—
948#491—591no—
949#490—591no—
950#489—591no—
951#489C2×D5911yescharacteristic, complemented
952#488—591no—
953#488—591no—
954#485—591no—
955#485—591no—
956#484—591no—
957#483—591no—
958#483—591no—
959#483C2×D5911yescharacteristic, complemented
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481C2×D5911yescharacteristic, complemented
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476C2×D5911yescharacteristic
976#475—591no—
977#475—591no—
978#470—591no—
979#470—591no—
980#469—591no—
981#469C2×D5911yescharacteristic, complemented
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#467—591no—
987#466—591no—
988#465—591no—
989#465C2×D5911yescharacteristic, complemented
990#464—591no—
991#464—591no—
992#464—591no—
993#464—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#463C2×D5911yescharacteristic, complemented
998#461—591no—
999#461—591no—
1000#460—591no—
1001#460—591no—
1002#452—591no—
1003#452—591no—
1004#451—591no—
1005#450—591no—
1006#450—591no—
1007#450—591no—
1008#449—591no—
1009#449C2×D5911yescharacteristic
1010#448—591no—
1011#448—591no—
1012#448—591no—
1013#447C2×D5911yescharacteristic
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442C2×D5911yescharacteristic
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435C2×D5911yescharacteristic, complemented
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419—591no—
1057#418—591no—
1058#417—591no—
1059#417C2×D5911yescharacteristic
1060C2×#103—591no—
1061C2×#102C2×D5911yescharacteristic
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—21no—
1067C2×#41—591no—
1068C2×#41—591no—
1069C2×#41—1181no—
1070C2×#41C22×D5911yescharacteristic
1071C22×Q8—591no—
1072C22×Q8—591no—
1073C22×D4—591no—
1074C22×D4—1181no—
1075C22×D4C22×D5911yescharacteristic
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#137—1184no—
1079AGL(1,ℤ/8)—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—1184no—
1093C2×SD16C22×D5911yescharacteristic
1094C2×D8—591no—
1095C2×D8C22×D5911yescharacteristic
1096C2×D8C22×D5911yescharacteristic
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16C22×D5911yescharacteristic
1101C22×C8—591no—
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8C22×D5911yescharacteristic
1108#127—591no—
1109#126—1181no—
1110#126—1181no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—591no—
1120#125—591no—
1121#125—591no—
1122#125—591no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#124—591no—
1130#124—591no—
1131#124—591no—
1132#124—1181no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124C22×D5911yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—21no—
1152C22⋊Q8—591no—
1153C22⋊Q8—591no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
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⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8C22×D5911yescharacteristic
1169#121—21no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121C22×D5911yescharacteristic
1181#121C22×D5911yescharacteristic
1182#121C22×D5911yescharacteristic
1183#120—21no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
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—1181no—
1219C4×D4—1181no—
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×D4—1181no—
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—591no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—1181no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1181no—
1271C2×C42—1181no—
1272C2×C42—1181no—
1273C2×C42—1181no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106C22×D5911yescharacteristic
1288#106C22×D5911yescharacteristic
1289#106C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
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#102—591no—
1321#102C22×D5911yescharacteristic
1322#102C22×D5911yescharacteristic
1323#102C22×D5911yescharacteristic
1324#102C22×D5911yescharacteristic
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—21no—
1345C24—1181no—
1346#41—22no—
1347#41—41no—
1348#41—44no—
1349#41—1182no—
1350#41—4722no—
1351#41—2362no—
1352#41—2361no—
1353C2×Q8—21no—
1354C2×Q8—591no—
1355C2×Q8—591no—
1356C2×Q8—591no—
1357C2×Q8—591no—
1358C2×Q8—1181no—
1359C2×Q8—1182no—
1360C2×Q8—1182no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—22no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1182no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—2361no—
1385C2×D4—2364no—
1386C2×D4D4×D5911yescharacteristic
1387C2×D4C23×D5911yescharacteristic
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—1182no—
1421Q16—2361no—
1422SD16—41no—
1423SD16—594no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—1182no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—22no—
1433D8—41no—
1434D8—1182no—
1435M16—41no—
1436M16—1182no—
1437M16—1182no—
1438M16—2361no—
1439C2×C8—41no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—1182no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
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⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4D4×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—21no—
1502C22⋊C4—21no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—591no—
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⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4D4×D5911yescharacteristic
1532C22⋊C4D4×D5911yescharacteristic
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—591no—
1537C42—591no—
1538C42—591no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—42no—
1560C23—81no—
1561C23—591no—
1562C23—1181no—
1563C23—4721no—
1564C23—2362no—
1565C23—2362no—
1566C23C2×D4×D5911yescharacteristic
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—42no—
1571Q8—592no—
1572Q8—1181no—
1573Q8—1181no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—4721no—
1578Q8—2361no—
1579Q8—2362no—
1580Q8—2362no—
1581D4—22no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—42no—
1588D4—42no—
1589D4—42no—
1590D4—42no—
1591D4—81no—
1592D4—1182no—
1593D4—1181no—
1594D4—1181no—
1595D4—4721no—
1596D4—4721no—
1597D4—2361no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4#41×D5912yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—81no—
1618C2×C4—591no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—1182no—
1626C2×C4—1182no—
1627C2×C4—1182no—
1628C2×C4—1182no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—2361no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2361no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—592no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—84no—
1681C22—1181no—
1682C22—1181no—
1683C22—1181no—
1684C22—4724no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683819812yes—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—592no—
1700C4—1181no—
1701C4—1181no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—1181no—
1706C4—1182no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823711yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—81no—
1720C2—4721no—
1721C2—2361no—
1722C2#2143758011yescharacteristic
1723C2C2×#1683819811yescharacteristic
1724C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3306C2
socleC22×C59C23×D4
hypercenter#3306D59
hypocenterC59#61445
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21437708C2semidirect
2. #21437701C2semidirect
3. #21437159C2semidirect
4. #21437034C2semidirect
5. #21436924C2semidirect
6. #21436863C2semidirect
7. #21436660C2semidirect
8. #21436566C2semidirect
9. #21436555C2semidirect
10. #21436355C2semidirect
11. #21436313C2semidirect
12. #21436269C2semidirect
13. #21436213C2semidirect
14. #21436113C2semidirect
15. #21435725C2semidirect
16. #21435602C2semidirect
17. #21435595C2semidirect
18. #21434705C2semidirect
19. #21434686C2semidirect
20. #21434659C2semidirect
21. #21434179C2semidirect
22. #21434138C2semidirect
23. #21434124C2semidirect
24. #21434111C2semidirect
25. #21434107C2semidirect
26. #21434106C2semidirect
27. #21433056C2semidirect
28. #21432920C2semidirect
29. #21432907C2semidirect
30. C2×#16837493C2semidirect
31. C59×#3306C2semidirect
36. #16838127C22semidirect
38. #16838122C22semidirect
47. #16838087C22semidirect
50. D4×Dic118C22semidirect
52. #16838058C22semidirect
57. #16837957C22semidirect
61. #16837933C22semidirect
62. #16837933C22semidirect
72. C4×#11745687C22semidirect
73. C2×#14273692C22semidirect
74. C2×#14273692C22semidirect
78. #16837809C22semidirect
79. #16837808C22semidirect
80. #16837802C22semidirect
81. #16837797C22semidirect
83. #16837783C22semidirect
84. #16837771C22semidirect
86. #16837760C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837744C22semidirect
90. #16837742C22semidirect
91. #16837738C22semidirect
92. #16837734C22semidirect
93. #16837734C22semidirect
95. #16837723C22semidirect
96. #16837720C22semidirect
97. #16837718C22semidirect
99. #16837712C22semidirect
100. #16837712C22semidirect
101. #16837711C22semidirect
102. #16837710C22semidirect
104. #16837702C22semidirect
106. #16837700C22semidirect
107. #16837689C22semidirect
108. #16837686C22semidirect
109. #16837686C22semidirect
110. #16837659C22semidirect
111. #16837659C22semidirect
112. #16837653C22semidirect
113. #16837648C22semidirect
116. #16837646C22semidirect
117. #16837641C22semidirect
120. #16837627C22semidirect
121. #16837627C22semidirect
122. #16837622C22semidirect
123. #16837621C22semidirect
126. #16837615C22semidirect
127. #16837608C22semidirect
132. #16837561C22semidirect
133. #16837557C22semidirect
139. #16837543C22semidirect
140. #16837540C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837512C22semidirect
144. #16837506C22semidirect
145. #16837506C22semidirect
146. #16837504C22semidirect
150. #16837494C22semidirect
151. #16837494C22semidirect
152. #16837494C22semidirect
158. #16837493C22semidirect
159. #16837493C22semidirect
160. #16837493C22semidirect
161. #16837493C22semidirect
162. #16837493C22semidirect
163. SD16×Dic59C22semidirect
164. #16837489C22semidirect
165. #16837489C22semidirect
166. #16837489C22semidirect
168. D8×Dic59C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837442C22semidirect
179. #16837441C22semidirect
180. C2×#14273658C22semidirect
181. #16837412C22semidirect
183. #16837400C22semidirect
184. C2×#14273652C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
188. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#483C22semidirect
192. C59×#481C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
200. C59×#435C22semidirect
609. #11745670#41semidirect
867. #3306D59semidirect
916. #547C2×D59semidirect
951. #489C2×D59semidirect
959. #483C2×D59semidirect
964. #481C2×D59semidirect
981. #469C2×D59semidirect
989. #465C2×D59semidirect
997. #463C2×D59semidirect
1049. #435C2×D59semidirect
1065. C59#61445semidirect

Maximal subgroups

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

subgroupindex
#214377082
#214377012
#214371592
#214370342
#214369242
#214368632
#214366602
#214365662
#214365552
#214363552
#214363132
#214362692
#214362132
#214361132
#214357252
#214356022
#214355952
#214347052
#214346862
#214346592
#214341792
#214341382
#214341242
#214341112
#214341072
#214341062
#214330562
#214329202
#214329072
C2×#168374932
C59×#33062
#6144559