Finite Group Databasebeta

← #29465473

Subgroups — #29465473

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437653C211yesmaximal, characteristic, complemented
2#21437580C211yesmaximal, characteristic, complemented
3#21436276C211yesmaximal, characteristic, complemented
4#21436262C211yesmaximal, characteristic, complemented
5#21436230C211yesmaximal, characteristic, complemented
6#21436220C211yesmaximal, characteristic, complemented
7#21436206C211yesmaximal, characteristic, complemented
8#21436188C211yesmaximal, characteristic, complemented
9#21436174C211yesmaximal, characteristic, complemented
10#21436164C211yesmaximal, characteristic, complemented
11#21436150C211yesmaximal, characteristic, complemented
12#21436132C211yesmaximal, characteristic, complemented
13#21436118C211yesmaximal, characteristic, complemented
14#21436108C211yesmaximal, characteristic, complemented
15#21436094C211yesmaximal, characteristic, complemented
16#21436076C211yesmaximal, characteristic, complemented
17#21436062C211yesmaximal, characteristic, complemented
18#21434438C211yesmaximal, characteristic, complemented
19#21434014C211yesmaximal, characteristic, complemented
20#21434008C211yesmaximal, characteristic, complemented
21#21433877C211yesmaximal, characteristic, complemented
22#21433700C211yesmaximal, characteristic, complemented
23#21433675C211yesmaximal, characteristic, complemented
24#21433548C211yesmaximal, characteristic, complemented
25#21433311C211yesmaximal, characteristic, complemented
26#21433309C211yesmaximal, characteristic, complemented
27#21432893C211yesmaximal, characteristic, complemented
28#435×D59C211yesmaximal, characteristic, complemented
29#21432610C211yesmaximal, characteristic, complemented
30#416×D59C211yesmaximal, characteristic, complemented
31C59×#3319C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273748C2211yescharacteristic, complemented
35C2×#14273746C2211yescharacteristic
36C2×#14273746C2211yescharacteristic, complemented
37C2×M16×D59C2211yescharacteristic, complemented
38C22×C8×D59C2211yescharacteristic, complemented
39#16838122C2211yescharacteristic, complemented
40#16838113C2211yescharacteristic, complemented
41#16838099C2211yescharacteristic
42#16838099C2211yescharacteristic, complemented
43#16838091—21no—
44#16838091C2211yescharacteristic
45#16838091C2211yescharacteristic, complemented
46#16838082—21no—
47#16838082—21no—
48#16838070C2211yescharacteristic
49#16838065C2211yescharacteristic
50#16838061C2211yescharacteristic
51#16838060C2211yescharacteristic
52#16838057C2211yescharacteristic, complemented
53#16838051C2211yescharacteristic
54#16838050—21no—
55#16838049—21no—
56#16838047C2211yescharacteristic
57#16838042—21no—
58#16838041—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16837957C2211yescharacteristic, complemented
62#16837951C2211yescharacteristic
63#16837947—21no—
64#16837933—21no—
65#16837931—21no—
66#16837931—21no—
67#16837915C2211yescharacteristic
68#16837912C2211yescharacteristic
69#16837912C2211yescharacteristic, complemented
70#16837912C2211yescharacteristic, complemented
71#16837910—21no—
72#16837908—21no—
73#16837870—21no—
74C4×#11745687C2211yescharacteristic
75C4×#11745687C2211yescharacteristic, complemented
76C2×(C22⋊D59)⋊C4—21no—
77C4×D4×D59C2211yescharacteristic
78#117×D59C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837764C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837698C2211yescharacteristic, complemented
106#16837692C2211yescharacteristic, complemented
107#16837684C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837644C2211yescharacteristic, complemented
116#16837643C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837611C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837560C2211yescharacteristic, complemented
134#16837559C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837544C2211yescharacteristic, complemented
139#16837544C2211yescharacteristic, complemented
140#16837540C2211yescharacteristic, complemented
141#16837539C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837510C2211yescharacteristic, complemented
145#16837508C2211yescharacteristic, complemented
146#16837502C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837499C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic
151#16837475C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155#16837471C2211yescharacteristic
156#16837470C2211yescharacteristic, complemented
157#16837439C2211yescharacteristic, complemented
158#16837439C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160C4⋊C8×D59C2211yescharacteristic, complemented
161#16837412C2211yescharacteristic, complemented
162#16837410C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837400C2211yescharacteristic, complemented
165#16837400C2211yescharacteristic, complemented
166#16837400C2211yescharacteristic, complemented
167#16837400C2211yescharacteristic, complemented
168#16837399C2211yescharacteristic, complemented
169#16837398C2211yescharacteristic, complemented
170#16837397C2211yescharacteristic, complemented
171#16837397C2211yescharacteristic, complemented
172#16837397C2211yescharacteristic, complemented
173#16837396C2211yescharacteristic, complemented
174#16837395C2211yescharacteristic
175#16837395C2211yescharacteristic
176#16837395C2211yescharacteristic
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185C22⋊C8×D59C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—24no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—42no—
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—24no—
218#41×D59—42no—
219C22×Dic118C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C23×Dic59—21no—
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273748—42no—
231#14273746—24no—
232#14273746—42no—
233C2×Dic236C2311yescharacteristic
234C2×Dic236C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245M16×D59—42no—
246C22×C59⋊C8C2311yescharacteristic
247C2×C8×D59—42no—
248C2×C8×D59C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273727C2311yescharacteristic
255#14273726—21no—
256#14273725C2311yescharacteristic
257#14273723—21no—
258#14273723C2311yescharacteristic
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273719—21no—
266#14273719—21no—
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273711—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273707—21no—
288#14273707C2311yescharacteristic
289#14273707C2311yescharacteristic
290#14273707C2311yescharacteristic
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273705—21no—
296#14273705—21no—
297#14273704—21no—
298#14273704—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273698—21no—
315#14273698—21no—
316#14273698C2311yescharacteristic
317#14273698C2311yescharacteristic
318#14273698C2311yescharacteristic
319#14273697—21no—
320#14273697—21no—
321#14273696—21no—
322#14273695—21no—
323#14273695—21no—
324#14273695—21no—
325#14273695—21no—
326Q8×Dic59—21no—
327C4×Dic118C2311yescharacteristic
328C4×Dic118C2311yescharacteristic
329#14273692—21no—
330#14273692—21no—
331#14273692C2311yescharacteristic
332#14273692C2311yescharacteristic
333C4×D236C2311yescharacteristic
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59—21no—
337D4×Dic59D411yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689—21no—
342#14273689D411yescharacteristic
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59C2311yescharacteristic
346C4×C22⋊D59C2311yescharacteristic
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)⋊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)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4D411yescharacteristic
362(C22⋊D59)⋊C4D411yescharacteristic
363#14273686C2311yescharacteristic
364#14273686C2311yescharacteristic
365#14273685C2311yescharacteristic
366#14273685C2311yescharacteristic
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684—21no—
373#14273683—21no—
374#14273683—21no—
375#14273683—21no—
376#14273683—21no—
377C2×Dic59⋊C4—21no—
378C4⋊C4×D59D411yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59D411yescharacteristic
387C22⋊C4×D59D411yescharacteristic
388C2×C4×Dic59—21no—
389C2×C4×Dic59—21no—
390C42×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#124×C59—21no—
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C24×C59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
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—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—44no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—44no—
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—22no—
541Q8×D59—22no—
542Q8×D59—41no—
543#11745687—22no—
544#11745687—22no—
545#11745687—22no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—41no—
551#11745687—41no—
552#11745687—44no—
553#11745687—44no—
554#11745687—44no—
555#11745687#4114yescomplemented
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—42no—
559D4×D59—44no—
560#11745685—22no—
561#11745685—41no—
562#11745685—44no—
563#11745685—44no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236C2×D411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×C4×D59—22no—
569C2×C4×D59—22no—
570C2×C4×D59—22no—
571C2×C4×D59—22no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—44no—
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×C4×D59C2411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×Dic118—22no—
590C2×Dic118—21no—
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—41no—
594C2×Dic118C2411yescharacteristic
595C2×Dic118C2411yescharacteristic
596C2×Dic118C2411yescharacteristic
597SD16×C59—41no—
598D8×C59—22no—
599D8×C59—41no—
600M16×C59—41no—
601C2×C8×C59—41no—
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59C2×D411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C42×C59—21no—
626C42×C59—21no—
627C42×C59C2411yescharacteristic
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59C2×D411yescharacteristic
639C22⋊Dic59C2×D411yescharacteristic
640#11745672—41no—
641#11745670—22no—
642#11745670—22no—
643#11745670—41no—
644#11745670—41no—
645#11745669—41no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—22no—
711Dic236—41no—
712#11745660—41no—
713#11745659—41no—
714#11745659—41no—
715C8×D59—22no—
716C8×D59—22no—
717C8×D59—22no—
718C8×D59—22no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—42no—
725C23×C59—42no—
726C23×C59—81no—
727C23×C59C22×D411yescharacteristic
728C23×C59C22×D411yescharacteristic
729C22×D59—22no—
730C22×D59—22no—
731C22×D59—22no—
732C22×D59—21no—
733C22×D59—41no—
734C22×D59—41no—
735C22×D59—41no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741C22×D59C22×D411yescharacteristic
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—81no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—41no—
751D4×C59—42no—
752D4×C59—42no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59C2×#4112yes—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—42no—
767C2×C4×C59—42no—
768C2×C4×C59—81no—
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C2511yescharacteristic
774C22⋊D59—24no—
775C22⋊D59—22no—
776C22⋊D59—41no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—81no—
789C2×Dic59—21no—
790C2×Dic59—22no—
791C2×Dic59—22no—
792C2×Dic59—24no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—42no—
800C2×Dic59—42no—
801C2×Dic59—42no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—81no—
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811D236—22no—
812D236—21no—
813D236—21no—
814D236—42no—
815D236—81no—
816C4×D59—22no—
817C4×D59—22no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—22no—
823C4×D59—22no—
824C4×D59—41no—
825C4×D59—41no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59C2×#4112yes—
834C4×D59H(5,𝔽2)12yes—
835Dic118—21no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—42no—
841Dic118—42no—
842Dic118—42no—
843Dic118C2×#4112yes—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61141—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—22no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—84no—
869C22×C59C23×D411yescharacteristic
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—44no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—82no—
882C2×D59—84no—
883C2×D59#54612yes—
884C2×D59#57512yes—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59C22×#4111yescharacteristic
895C4×C59C2×H(5,𝔽2)11yescharacteristic
896Dic59—21no—
897Dic59—22no—
898Dic59—21no—
899Dic59—21no—
900Dic59—21no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59#54612yes—
908#3475—591no—
909D4×#41—591no—
910#3321—591no—
911#3320—591no—
912#3319D5911yescharacteristic, complemented
913#3318—591no—
914#3317—591no—
915#3316—591no—
916#3315—591no—
917#3314—591no—
918#3313—591no—
919#3312—591no—
920#3311—591no—
921#3310—591no—
922#3309—591no—
923#3308—591no—
924#3307—591no—
925#3306—591no—
926#3135—591no—
927#3091—591no—
928#3091—591no—
929#3076—591no—
930#3054—591no—
931#3050—591no—
932#3035—591no—
933#3002—591no—
934#3002—591no—
935#2943—591no—
936C2×#435—591no—
937#2896—591no—
938C2×#416—591no—
939C2×C59—41no—
940C2×C59—41no—
941C2×C59—42no—
942C2×C59—81no—
943C2×C59—81no—
944C2×C59C2×#54611yescharacteristic
945C2×C59C2×#57511yescharacteristic
946C2×C59#358411yescharacteristic
947D59—22no—
948D59—22no—
949D59—41no—
950D59—81no—
951C22×#41—591no—
952C22×#41—591no—
953C2×#135—591no—
954C2×#135—591no—
955C2×#135—591no—
956C22×M16—591no—
957C23×C8—591no—
958#556—591no—
959#555C2×D5911yescharacteristic, complemented
960#554—591no—
961#553—591no—
962#553—591no—
963#552—591no—
964#552—591no—
965#552—1181no—
966#551—1181no—
967#551—1181no—
968#550—591no—
969D4×Q8—591no—
970#548—591no—
971#548—591no—
972#547—591no—
973#547—591no—
974#547—1181no—
975#546—591no—
976#546—1181no—
977#546—1181no—
978#546—1181no—
979#546C2×D5911yescharacteristic
980D42—591no—
981D42—1181no—
982#533—591no—
983#532—591no—
984#532—1181no—
985#529—1181no—
986#529—1181no—
987#529—1181no—
988#525—591no—
989#525—591no—
990#525—591no—
991#525—591no—
992#525—1181no—
993#525—1181no—
994C4×#41—591no—
995C4×#41—591no—
996C4×#41—1181no—
997C2×C4×D4—591no—
998C2×C4×D4—1181no—
999C2×#117—591no—
1000C2×#117—591no—
1001#491—591no—
1002#491—591no—
1003#490—591no—
1004#490—591no—
1005#489—591no—
1006#489—591no—
1007#489—591no—
1008#489C2×D5911yescharacteristic, complemented
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485C2×D5911yescharacteristic, complemented
1013#484—591no—
1014#484—591no—
1015#483—591no—
1016#483—591no—
1017#482—591no—
1018#482—591no—
1019#482—591no—
1020#482C2×D5911yescharacteristic, complemented
1021#481—591no—
1022#481—591no—
1023#480—591no—
1024#480—591no—
1025#479—591no—
1026#479—591no—
1027#478—591no—
1028#478—591no—
1029#477—591no—
1030#476—591no—
1031#475—591no—
1032#474C2×D5911yescharacteristic, complemented
1033#470—591no—
1034#470—591no—
1035#469—591no—
1036#469—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468C2×D5911yescharacteristic, complemented
1041#467—591no—
1042#467—591no—
1043#466—591no—
1044#466C2×D5911yescharacteristic, complemented
1045#465—591no—
1046#465—591no—
1047#465—591no—
1048#465—591no—
1049#464—591no—
1050#464—591no—
1051#463—591no—
1052#463C2×D5911yescharacteristic, complemented
1053#462—591no—
1054#461—591no—
1055#460—591no—
1056#459—591no—
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#451—591no—
1062#451—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449C2×D5911yescharacteristic, complemented
1069#448—591no—
1070#448—591no—
1071#447—591no—
1072#447C2×D5911yescharacteristic, complemented
1073#442—591no—
1074#442C2×D5911yescharacteristic, complemented
1075#441—591no—
1076#441—591no—
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#435—591no—
1082#435—591no—
1083#435—591no—
1084#435—591no—
1085#435—591no—
1086#435—591no—
1087#435—591no—
1088#435C2×D5911yescharacteristic, complemented
1089#427—591no—
1090#427—591no—
1091#427—591no—
1092C2×C4⋊C8—591no—
1093#419—591no—
1094#419—591no—
1095#418—591no—
1096#418C2×D5911yescharacteristic, complemented
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#416—591no—
1102#416—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416—591no—
1107#416—591no—
1108#416—591no—
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114#416C2×D5911yescharacteristic, complemented
1115C2×#103—591no—
1116C2×#103—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×C22⋊C8—591no—
1120C2×C22⋊C8—591no—
1121C2×#97—591no—
1122C59#6114111yescharacteristic, complemented, Sylow
1123C2×#41—591no—
1124C2×#41—591no—
1125C2×#41—591no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—1181no—
1131C2×#41—1181no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1184no—
1136C2×#41—1184no—
1137C2×#41—2362no—
1138C2×#41—2362no—
1139C2×#41C22×D5911yescharacteristic
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4C22×D5911yescharacteristic
1148C23×C4—591no—
1149C23×C4—591no—
1150C23×C4—1181no—
1151C23×C4—1181no—
1152#135—1184no—
1153#135—2362no—
1154#135—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×SD16—591no—
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16C22×D5911yescharacteristic
1164C2×D8—591no—
1165C2×D8C22×D5911yescharacteristic
1166C2×D8C22×D5911yescharacteristic
1167C2×M16—591no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—2362no—
1171C2×M16C22×D5911yescharacteristic
1172C22×C8—591no—
1173C22×C8—591no—
1174C22×C8—591no—
1175C22×C8—591no—
1176C22×C8—591no—
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8—2362no—
1180C22×C8C22×D5911yescharacteristic
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8C22×D5911yescharacteristic
1185#127—591no—
1186#127—1181no—
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#126—1181no—
1192#126—1181no—
1193#125—591no—
1194#125—591no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#124—21no—
1199#124—21no—
1200#124—591no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124C22×D5911yescharacteristic
1205#123—21no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121C22×D5911yescharacteristic
1255#121C22×D5911yescharacteristic
1256#121C22×D5911yescharacteristic
1257#120—21no—
1258#120—1181no—
1259#120—1181no—
1260#120—1181no—
1261#120—1181no—
1262#120—1181no—
1263#120—1181no—
1264#120—1181no—
1265C4×Q8—591no—
1266C4×Q8—591no—
1267C4×Q8—591no—
1268C4×Q8—591no—
1269C4×Q8—1181no—
1270C4×Q8—1181no—
1271C4×Q8—1181no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—21no—
1306#117—591no—
1307#117—591no—
1308#117—591no—
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—1181no—
1313#117—1181no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117C22×D5911yescharacteristic
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—591no—
1325C2×C4⋊C4—591no—
1326C2×C4⋊C4—591no—
1327C2×C4⋊C4—1181no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—591no—
1330C2×C22⋊C4—591no—
1331C2×C22⋊C4—1181no—
1332C2×C22⋊C4—1181no—
1333C2×C22⋊C4—1181no—
1334C2×C42—591no—
1335C2×C42—1181no—
1336C2×C42—1181no—
1337C2×C42—1181no—
1338C2×C42—1181no—
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107C22×D5911yescharacteristic
1344#107C22×D5911yescharacteristic
1345#106—591no—
1346#106—591no—
1347#106—591no—
1348#106—591no—
1349#106—591no—
1350#106C22×D5911yescharacteristic
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8C22×D5911yescharacteristic
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102C22×D5911yescharacteristic
1389#102C22×D5911yescharacteristic
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8C22×D5911yescharacteristic
1402C22⋊C8C22×D5911yescharacteristic
1403#97—591no—
1404#97—591no—
1405#97—591no—
1406#97C22×D5911yescharacteristic
1407C24—21no—
1408C24—591no—
1409C24—591no—
1410C24—1181no—
1411#41—22no—
1412#41—41no—
1413#41—594no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—2361no—
1425#41—2364no—
1426#41—2364no—
1427#41—2364no—
1428#41—2364no—
1429#41—2361no—
1430#41—2361no—
1431#41—2364no—
1432C2×Q8—21no—
1433C2×Q8—591no—
1434C2×Q8—591no—
1435C2×Q8—591no—
1436C2×Q8—1181no—
1437C2×Q8—1182no—
1438C2×Q8—1181no—
1439C2×Q8—1181no—
1440C2×Q8—1182no—
1441C2×Q8—2361no—
1442C2×Q8—2361no—
1443C2×Q8C23×D5911yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—41no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1182no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—2361no—
1472C2×D4—2362no—
1473C2×D4—2364no—
1474C2×D4—2364no—
1475C2×D4—2364no—
1476C2×D4D4×D5911yescharacteristic
1477C2×D4C23×D5911yescharacteristic
1478C2×D4C23×D5911yescharacteristic
1479C2×D4C23×D5911yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—591no—
1484C22×C4—591no—
1485C22×C4—591no—
1486C22×C4—591no—
1487C22×C4—591no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—1182no—
1495C22×C4—1182no—
1496C22×C4—1182no—
1497C22×C4—1182no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
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—2364no—
1514C22×C4—2364no—
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517Q16—1182no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—41no—
1521SD16—1182no—
1522SD16—1182no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—22no—
1527D8—41no—
1528D8—2361no—
1529M16—41no—
1530M16—2361no—
1531M16—2361no—
1532M16—2361no—
1533C2×C8—41no—
1534C2×C8—591no—
1535C2×C8—591no—
1536C2×C8—591no—
1537C2×C8—591no—
1538C2×C8—1182no—
1539C2×C8—1182no—
1540C2×C8—1182no—
1541C2×C8—1182no—
1542C2×C8—2361no—
1543C2×C8—2361no—
1544C2×C8—2361no—
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—591no—
1552C4⋊C4—591no—
1553C4⋊C4—591no—
1554C4⋊C4—591no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4D4×D5911yescharacteristic
1581C4⋊C4C23×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C4⋊C4C23×D5911yescharacteristic
1584C4⋊C4C23×D5911yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4D4×D5911yescharacteristic
1624C22⋊C4D4×D5911yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—591no—
1628C42—591no—
1629C42—591no—
1630C42—1181no—
1631C42—1181no—
1632C42—1181no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42C23×D5911yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—42no—
1646C23—81no—
1647C23—591no—
1648C23—591no—
1649C23—591no—
1650C23—1182no—
1651C23—1182no—
1652C23—1182no—
1653C23—1181no—
1654C23—4721no—
1655C23—2361no—
1656C23—2361no—
1657C23—2361no—
1658C23—2362no—
1659C23—2362no—
1660C23C2×D4×D5911yescharacteristic
1661C23C2×D4×D5911yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—81no—
1665Q8—592no—
1666Q8—1181no—
1667Q8—1181no—
1668Q8—1181no—
1669Q8—1181no—
1670Q8—1181no—
1671Q8—2362no—
1672Q8—2362no—
1673Q8—2362no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—41no—
1680D4—42no—
1681D4—42no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—1182no—
1686D4—1182no—
1687D4—1184no—
1688D4—1181no—
1689D4—1181no—
1690D4—4721no—
1691D4—4721no—
1692D4—2362no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699D4—2362no—
1700D4—2362no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4#41×D5912yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—591no—
1719C2×C4—592no—
1720C2×C4—592no—
1721C2×C4—591no—
1722C2×C4—591no—
1723C2×C4—591no—
1724C2×C4—591no—
1725C2×C4—1182no—
1726C2×C4—1182no—
1727C2×C4—1182no—
1728C2×C4—1182no—
1729C2×C4—1182no—
1730C2×C4—1182no—
1731C2×C4—1184no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—4721no—
1744C2×C4—4721no—
1745C2×C4—4721no—
1746C2×C4—2361no—
1747C2×C4—2361no—
1748C2×C4—2362no—
1749C2×C4—2362no—
1750C2×C4—2362no—
1751C2×C4—2362no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C24×D5911yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—84no—
1788C22—592no—
1789C22—592no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—1181no—
1795C22—1181no—
1796C22—1181no—
1797C22—4724no—
1798C22—4722no—
1799C22—2364no—
1800C22—2361no—
1801C22—2361no—
1802C22—2361no—
1803C22C22×D4×D5911yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—592no—
1814C4—1181no—
1815C4—1181no—
1816C4—1182no—
1817C4—1181no—
1818C4—1181no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4C2×#41×D5911yescharacteristic
1826C4H(5,𝔽2)×D5911yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—1182no—
1833C2—1182no—
1834C2—4721no—
1835C2—2361no—
1836C2#546×D5911yescharacteristic
1837C2#575×D5911yescharacteristic
1838C2#2143886411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3319C2
socleC22×C59C23×D4
hypercenter#3319D59
hypocenterC59#61141
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21437653C2semidirect
2. #21437580C2semidirect
3. #21436276C2semidirect
4. #21436262C2semidirect
5. #21436230C2semidirect
6. #21436220C2semidirect
7. #21436206C2semidirect
8. #21436188C2semidirect
9. #21436174C2semidirect
10. #21436164C2semidirect
11. #21436150C2semidirect
12. #21436132C2semidirect
13. #21436118C2semidirect
14. #21436108C2semidirect
15. #21436094C2semidirect
16. #21436076C2semidirect
17. #21436062C2semidirect
18. #21434438C2semidirect
19. #21434014C2semidirect
20. #21434008C2semidirect
21. #21433877C2semidirect
22. #21433700C2semidirect
23. #21433675C2semidirect
24. #21433548C2semidirect
25. #21433311C2semidirect
26. #21433309C2semidirect
27. #21432893C2semidirect
28. #435×D59C2semidirect
29. #21432610C2semidirect
30. #416×D59C2semidirect
31. C59×#3319C2semidirect
34. C2×#14273748C22semidirect
36. C2×#14273746C22semidirect
37. C2×M16×D59C22semidirect
38. C22×C8×D59C22semidirect
39. #16838122C22semidirect
40. #16838113C22semidirect
42. #16838099C22semidirect
45. #16838091C22semidirect
52. #16838057C22semidirect
61. #16837957C22semidirect
69. #16837912C22semidirect
70. #16837912C22semidirect
75. C4×#11745687C22semidirect
78. #117×D59C22semidirect
79. #117×D59C22semidirect
80. #16837769C22semidirect
81. #16837769C22semidirect
82. #16837765C22semidirect
83. #16837765C22semidirect
84. #16837764C22semidirect
85. #16837762C22semidirect
86. #16837761C22semidirect
87. #16837744C22semidirect
88. #16837743C22semidirect
89. #16837740C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837734C22semidirect
93. #16837731C22semidirect
94. #16837727C22semidirect
95. #16837726C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837714C22semidirect
101. #16837708C22semidirect
102. #16837708C22semidirect
103. #16837700C22semidirect
104. #16837700C22semidirect
105. #16837698C22semidirect
106. #16837692C22semidirect
107. #16837684C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837649C22semidirect
113. #16837648C22semidirect
114. #16837645C22semidirect
115. #16837644C22semidirect
116. #16837643C22semidirect
117. #16837635C22semidirect
118. #16837630C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837629C22semidirect
122. #16837625C22semidirect
123. #16837621C22semidirect
124. #16837617C22semidirect
125. #16837611C22semidirect
126. #16837605C22semidirect
127. #16837601C22semidirect
128. #16837595C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837560C22semidirect
134. #16837559C22semidirect
135. #16837554C22semidirect
136. #16837553C22semidirect
137. #16837545C22semidirect
138. #16837544C22semidirect
139. #16837544C22semidirect
140. #16837540C22semidirect
141. #16837539C22semidirect
142. #16837534C22semidirect
143. #16837514C22semidirect
144. #16837510C22semidirect
145. #16837508C22semidirect
146. #16837502C22semidirect
147. #16837502C22semidirect
148. #16837499C22semidirect
149. #16837499C22semidirect
151. #16837475C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837439C22semidirect
158. #16837439C22semidirect
159. #16837437C22semidirect
160. C4⋊C8×D59C22semidirect
161. #16837412C22semidirect
162. #16837410C22semidirect
163. #16837407C22semidirect
164. #16837400C22semidirect
165. #16837400C22semidirect
166. #16837400C22semidirect
167. #16837400C22semidirect
168. #16837399C22semidirect
169. #16837398C22semidirect
170. #16837397C22semidirect
171. #16837397C22semidirect
172. #16837397C22semidirect
173. #16837396C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. C22⋊C8×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. #97×D59C22semidirect
188. C59×#555C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
555. #11745687#41semidirect
912. #3319D59semidirect
959. #555C2×D59semidirect
1008. #489C2×D59semidirect
1012. #485C2×D59semidirect
1020. #482C2×D59semidirect
1032. #474C2×D59semidirect
1040. #468C2×D59semidirect
1044. #466C2×D59semidirect
1052. #463C2×D59semidirect
1068. #449C2×D59semidirect
1072. #447C2×D59semidirect
1074. #442C2×D59semidirect
1088. #435C2×D59semidirect
1096. #418C2×D59semidirect
1114. #416C2×D59semidirect
1122. C59#61141semidirect

Maximal subgroups

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

subgroupindex
#214376532
#214375802
#214362762
#214362622
#214362302
#214362202
#214362062
#214361882
#214361742
#214361642
#214361502
#214361322
#214361182
#214361082
#214360942
#214360762
#214360622
#214344382
#214340142
#214340082
#214338772
#214337002
#214336752
#214335482
#214333112
#214333092
#214328932
#435×D592
#214326102
#416×D592
C59×#33192
#6114159