Finite Group Databasebeta

← #29475949

Subgroups — #29475949

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438458C211yesmaximal, characteristic, complemented
2#21437885C211yesmaximal, characteristic, complemented
3#21436352C211yesmaximal, characteristic, complemented
4#21436303C211yesmaximal, characteristic, complemented
5#21436168C211yesmaximal, characteristic, complemented
6#21436127C211yesmaximal, characteristic, complemented
7#21436090C211yesmaximal, characteristic, complemented
8#21436055C211yesmaximal, characteristic, complemented
9#21435993C211yesmaximal, characteristic, complemented
10#21435944C211yesmaximal, characteristic, complemented
11#21435801C211yesmaximal, characteristic, complemented
12#21435778C211yesmaximal, characteristic, complemented
13#21435724C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435685C211yesmaximal, characteristic, complemented
16#21435639C211yesmaximal, characteristic, complemented
17#21435598C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435082C211yesmaximal, characteristic, complemented
20#21435066C211yesmaximal, characteristic, complemented
21#21434963C211yesmaximal, characteristic, complemented
22#21434960C211yesmaximal, characteristic, complemented
23#21434954C211yesmaximal, characteristic, complemented
24#21434208C211yesmaximal, characteristic, complemented
25#21434151C211yesmaximal, characteristic, complemented
26#21433412C211yesmaximal, characteristic, complemented
27#21433397C211yesmaximal, characteristic, complemented
28#21433377C211yesmaximal, characteristic, complemented
29#21433366C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3201C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic
42#16838140—21no—
43#16838140—21no—
44#16838123C2211yescharacteristic, complemented
45#16838100C2211yescharacteristic, complemented
46#16838099C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic, complemented
48#16838070—21no—
49#16838062C2211yescharacteristic
50#16838062C2211yescharacteristic, complemented
51#16838062C2211yescharacteristic, complemented
52#16838062C2211yescharacteristic, complemented
53#16838053C2211yescharacteristic, complemented
54#16838044—21no—
55#16838044—21no—
56#16838044—21no—
57#16838044—21no—
58#16838043C2211yescharacteristic
59#16838043C2211yescharacteristic, complemented
60#16838043C2211yescharacteristic, complemented
61#16838043C2211yescharacteristic, complemented
62#16838043C2211yescharacteristic, complemented
63#16838041—21no—
64#16838040C2211yescharacteristic, complemented
65#16838036C2211yescharacteristic, complemented
66#16838022—21no—
67#16837992—21no—
68#16837984—21no—
69#16837982C2211yescharacteristic, complemented
70#16837977—21no—
71#16837971C2211yescharacteristic, complemented
72#16837970—21no—
73#16837968—21no—
74#16837968C2211yescharacteristic, complemented
75#16837966C2211yescharacteristic
76#16837953—21no—
77#16837948C2211yescharacteristic
78#16837947C2211yescharacteristic, complemented
79#16837938C2211yescharacteristic, complemented
80C2×#14273716C2211yescharacteristic, complemented
81#124×D59—21no—
82#16837870C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837787C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837758C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837639C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837563C2211yescharacteristic, complemented
128#16837562C2211yescharacteristic, complemented
129#16837562C2211yescharacteristic, complemented
130#16837556C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic
140#16837549C2211yescharacteristic
141#16837549C2211yescharacteristic, complemented
142#16837549C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic
145#16837545C2211yescharacteristic, complemented
146#16837542C2211yescharacteristic, complemented
147#16837542C2211yescharacteristic, complemented
148#16837541C2211yescharacteristic, complemented
149#16837541C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic
152#16837538C2211yescharacteristic
153#16837538C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic
158#16837535C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837506C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837493C2211yescharacteristic, complemented
164#16837489C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837409C2211yescharacteristic, complemented
178#16837408C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic
189C59×#536C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689—21no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745685—21no—
213C2×#11745685—21no—
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×#11745687—21no—
220C2×Q8×D59—21no—
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C22×D236C2311yescharacteristic
224C22×D236C2311yescharacteristic
225C22×D236C2311yescharacteristic
226C22×D236C2311yescharacteristic
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59C2311yescharacteristic
232#14273759—42no—
233#14273755—42no—
234#14273754—42no—
235#14273752—42no—
236#14273750—42no—
237#14273747—42no—
238C2×#11745672C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249SD16×D59—42no—
250C2×D472—42no—
251C2×D472C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C22×C59⋊C8C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266#14273726C2311yescharacteristic
267#14273725D411yescharacteristic
268#14273724—21no—
269#14273723—21no—
270#14273723—21no—
271#14273723—21no—
272#14273723D411yescharacteristic
273#14273723C2311yescharacteristic
274#14273722—21no—
275#14273722—21no—
276#14273722—21no—
277#14273720—21no—
278#14273720—21no—
279#14273718C2311yescharacteristic
280#14273716—21no—
281#14273716—21no—
282#14273716—21no—
283#14273716D411yescharacteristic
284#14273716C2311yescharacteristic
285#14273716C2311yescharacteristic
286#14273716C2311yescharacteristic
287#14273716C2311yescharacteristic
288#14273716C2311yescharacteristic
289#14273715—21no—
290#14273714D411yescharacteristic
291#14273713—21no—
292#14273713—21no—
293#14273713—21no—
294#14273713—21no—
295#14273713—21no—
296#14273713—21no—
297#14273713—21no—
298#14273712—21no—
299#14273712—21no—
300#14273712—21no—
301#14273712—21no—
302#14273712—21no—
303#14273712—21no—
304#14273712—21no—
305#14273711—21no—
306#14273710—21no—
307#14273710—21no—
308#14273708—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273703C2311yescharacteristic
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273701—21no—
329#14273701—21no—
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699D411yescharacteristic
344#14273699D411yescharacteristic
345#14273699D411yescharacteristic
346#14273699D411yescharacteristic
347#14273698—21no—
348#14273698—21no—
349#14273698C2311yescharacteristic
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364Q8×Dic59C2311yescharacteristic
365#14273692—21no—
366#14273692C2311yescharacteristic
367#14273692C2311yescharacteristic
368D4×Dic59C2311yescharacteristic
369#14273689—21no—
370#14273689—21no—
371#14273689—21no—
372#14273689—21no—
373#14273689C2311yescharacteristic
374#14273689C2311yescharacteristic
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381C4×C22⋊D59C2311yescharacteristic
382C4×C22⋊D59C2311yescharacteristic
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273686C2311yescharacteristic
389#14273685—21no—
390#14273685C2311yescharacteristic
391#14273684—21no—
392C4⋊C4×D59C2311yescharacteristic
393C2×(C2×D59)⋊C4—21no—
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C2×C4×Dic59C2311yescharacteristic
402C42×D59—21no—
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457#124×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—22no—
541#11745689—41no—
542#11745689—41no—
543#11745689—44no—
544#11745689—44no—
545#11745689—41no—
546#11745689—41no—
547Q8×D59—22no—
548Q8×D59—22no—
549Q8×D59—41no—
550Q8×D59—41no—
551Q8×D59—44no—
552#11745687—82no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—44no—
556D4×D59—44no—
557D4×D59—44no—
558D4×D59—82no—
559#11745685—22no—
560#11745685—22no—
561#11745685—22no—
562#11745685—22no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—41no—
567#11745685—44no—
568#11745685—44no—
569#11745685—82no—
570C2×D236—22no—
571C2×D236—22no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—41no—
586C2×D236—41no—
587C2×D236—41no—
588C2×D236—41no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236C2×D411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×D236C2411yescharacteristic
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59C2411yescharacteristic
611C2×C4×D59C2411yescharacteristic
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118—21no—
615C2×Dic118C2×D411yescharacteristic
616C2×Dic118C2411yescharacteristic
617Q16×C59—41no—
618Q16×C59—41no—
619SD16×C59—41no—
620SD16×C59—41no—
621M16×C59—41no—
622C2×C8×C59—41no—
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C42×C59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59C2×D411yescharacteristic
652C22⋊Dic59C2×D411yescharacteristic
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655#11745672—22no—
656#11745671—22no—
657#11745671—41no—
658#11745671—41no—
659#11745671—41no—
660#11745671—41no—
661#11745671—41no—
662#11745671—41no—
663#11745670—22no—
664#11745669—22no—
665#11745669—41no—
666#11745669—41no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4C2×D411yescharacteristic
708Dic59⋊C4C2×D411yescharacteristic
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720#11745664—41no—
721C2×C59⋊C8—41no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726D472—22no—
727D472—22no—
728D472—41no—
729D472—41no—
730D472—41no—
731D472—41no—
732#11745660—22no—
733#11745660—22no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—41no—
771Q8×C59—42no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—41no—
775D4×C59—41no—
776D4×C59—41no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59—81no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—42no—
794C2×C4×C59—81no—
795C2×C4×C59—81no—
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—24no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—41no—
822C2×Dic59—81no—
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—41no—
839D236—42no—
840D236—42no—
841D236—42no—
842D236—42no—
843D236—42no—
844D236—81no—
845D236—81no—
846D236—81no—
847D236—81no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236H(5,𝔽2)12yes—
853C4×D59—24no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—81no—
866C4×D59—81no—
867C4×D59—81no—
868C4×D59—81no—
869C4×D59—81no—
870Dic118—21no—
871Dic118—41no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118H(5,𝔽2)12yes—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59C23×D411yescharacteristic
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—22no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—162no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59—41no—
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935C4×C59C2×H(5,𝔽2)11yescharacteristic
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—22no—
941Dic59—21no—
942Dic59—21no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201D5911yescharacteristic, complemented
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—41no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—81no—
980C2×C59#348411yescharacteristic
981C2×C59#358411yescharacteristic
982C2×C59#358511yescharacteristic
983D59—41no—
984D59—41no—
985D59—42no—
986D59—81no—
987D59—81no—
988D59—81no—
989D59—81no—
990C2×2−1+4—591no—
991C2×H(5,𝔽2)—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×#135—591no—
997C2×#135—591no—
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546—1181no—
1022#546—1181no—
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537C2×D5911yescharacteristic
1029#536—1181no—
1030#536C2×D5911yescharacteristic, complemented
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—591no—
1038#532—1181no—
1039#529—591no—
1040C2×#124—591no—
1041C2×#124—1181no—
1042C4×#41—591no—
1043#496—591no—
1044#496—591no—
1045#495—591no—
1046#495—591no—
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485C2×D5911yescharacteristic, complemented
1054#484C2×D5911yescharacteristic, complemented
1055#483C2×D5911yescharacteristic, complemented
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482C2×D5911yescharacteristic, complemented
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470C2×D5911yescharacteristic, complemented
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468C2×D5911yescharacteristic, complemented
1075#467C2×D5911yescharacteristic, complemented
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465C2×D5911yescharacteristic, complemented
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#460—591no—
1094#459—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452C2×D5911yescharacteristic, complemented
1099#452C2×D5911yescharacteristic, complemented
1100#451—591no—
1101#451C2×D5911yescharacteristic, complemented
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448C2×D5911yescharacteristic, complemented
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408C2×D5911yescharacteristic, complemented
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—2362no—
11632−1+4—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—1181no—
1174C2×#41—1181no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41—1181no—
1179C2×#41C22×D5911yescharacteristic
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—1181no—
1184C22×Q8C22×D5911yescharacteristic
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4—1181no—
1194#137—2362no—
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—2362no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16C22×D5911yescharacteristic
1202C2×Q16C22×D5911yescharacteristic
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—2362no—
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—2362no—
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16C22×D5911yescharacteristic
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8C22×D5911yescharacteristic
1234C4⋊Q8—21no—
1235C4⋊Q8—591no—
1236C4⋊Q8—591no—
1237#127—591no—
1238#127—591no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—21no—
1250#124—591no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—591no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124—1181no—
1266#124—1181no—
1267#124—1181no—
1268#123—21no—
1269#123—21no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—21no—
1282C22⋊Q8—591no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8C22×D5911yescharacteristic
1290C22⋊Q8C22×D5911yescharacteristic
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×Q8—1181no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372#117—591no—
1373#117—591no—
1374#117—1181no—
1375#117—1181no—
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4C22×D5911yescharacteristic
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—591no—
1388C2×C42—1181no—
1389#107—591no—
1390#107—591no—
1391#107C22×D5911yescharacteristic
1392#107C22×D5911yescharacteristic
1393#106—591no—
1394#106—591no—
1395#106C22×D5911yescharacteristic
1396#106C22×D5911yescharacteristic
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103C22×D5911yescharacteristic
1410#103C22×D5911yescharacteristic
1411#103C22×D5911yescharacteristic
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8C22×D5911yescharacteristic
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97—591no—
1446#97—591no—
1447C4×C8—591no—
1448C4×C8—591no—
1449C24—1181no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—1182no—
1462#41—1182no—
1463#41—1182no—
1464#41—4722no—
1465#41—4722no—
1466#41—2361no—
1467#41—2361no—
1468#41—2361no—
1469#41—2361no—
1470#41—2364no—
1471#41—2364no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—1181no—
1484C2×Q8—1181no—
1485C2×Q8—1181no—
1486C2×Q8—1182no—
1487C2×Q8—1182no—
1488C2×Q8—2361no—
1489C2×Q8—2361no—
1490C2×Q8—2364no—
1491C2×Q8D4×D5911yescharacteristic
1492C2×Q8C23×D5911yescharacteristic
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—1182no—
1511C2×D4—1182no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—4722no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2361no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2364no—
1546C2×D4—2364no—
1547C2×D4—2364no—
1548C2×D4D4×D5911yescharacteristic
1549C2×D4D4×D5911yescharacteristic
1550C2×D4D4×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—591no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—41no—
1577Q16—41no—
1578Q16—1182no—
1579SD16—41no—
1580SD16—41no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—1182no—
1592D8—1182no—
1593D8—1182no—
1594D8—2361no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—41no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—591no—
1628C4⋊C4—591no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C42—21no—
1688C42—591no—
1689C42—591no—
1690C42—591no—
1691C42—591no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C23—21no—
1698C23—591no—
1699C23—591no—
1700C23—1181no—
1701C23—1181no—
1702C23—1181no—
1703C23—1181no—
1704C23—1181no—
1705C23—4721no—
1706C23—4721no—
1707C23—4721no—
1708C23—4721no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—2362no—
1718C23—2362no—
1719C23—2362no—
1720C23C2×D4×D5911yescharacteristic
1721C23C2×D4×D5911yescharacteristic
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—41no—
1730Q8—42no—
1731Q8—592no—
1732Q8—1181no—
1733Q8—2361no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—592no—
1746D4—1184no—
1747D4—1181no—
1748D4—1181no—
1749D4—1181no—
1750D4—1181no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—1181no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—2361no—
1772D4—2362no—
1773D4—2362no—
1774D4—2362no—
1775D4—2362no—
1776D4—2362no—
1777D4—2361no—
1778D4—2361no—
1779D4—2361no—
1780D4—2361no—
1781D4—2361no—
1782D4—2361no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—591no—
1803C2×C4—591no—
1804C2×C4—591no—
1805C2×C4—591no—
1806C2×C4—591no—
1807C2×C4—591no—
1808C2×C4—1184no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2361no—
1830C2×C4—2361no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—1182no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—9442no—
1863C22—9442no—
1864C22—9442no—
1865C22—9442no—
1866C22—9442no—
1867C22—2361no—
1868C22—2361no—
1869C22—2361no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—1181no—
1893C4—1181no—
1894C4—1182no—
1895C4—1181no—
1896C4—1181no—
1897C4—1181no—
1898C4—1181no—
1899C4—2361no—
1900C4—2361no—
1901C4H(5,𝔽2)×D5911yescharacteristic
1902C4H(5,𝔽2)×D5911yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—81no—
1907C2—4721no—
1908C2—4721no—
1909C2—4721no—
1910C2—4721no—
1911C2—2361no—
1912C2—2361no—
1913C2—2362no—
1914C2#2143772811yescharacteristic
1915C2#2143886611yescharacteristic
1916C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3201C2
socleC22×C59C23×D4
hypercenter#3201D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #21438458C2semidirect
2. #21437885C2semidirect
3. #21436352C2semidirect
4. #21436303C2semidirect
5. #21436168C2semidirect
6. #21436127C2semidirect
7. #21436090C2semidirect
8. #21436055C2semidirect
9. #21435993C2semidirect
10. #21435944C2semidirect
11. #21435801C2semidirect
12. #21435778C2semidirect
13. #21435724C2semidirect
14. #21435700C2semidirect
15. #21435685C2semidirect
16. #21435639C2semidirect
17. #21435598C2semidirect
18. #21435573C2semidirect
19. #21435082C2semidirect
20. #21435066C2semidirect
21. #21434963C2semidirect
22. #21434960C2semidirect
23. #21434954C2semidirect
24. #21434208C2semidirect
25. #21434151C2semidirect
26. #21433412C2semidirect
27. #21433397C2semidirect
28. #21433377C2semidirect
29. #21433366C2semidirect
30. #21433169C2semidirect
31. C59×#3201C2semidirect
32. C2×#14273775C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273759C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273747C22semidirect
40. C2×SD16×D59C22semidirect
44. #16838123C22semidirect
45. #16838100C22semidirect
46. #16838099C22semidirect
47. #16838071C22semidirect
50. #16838062C22semidirect
51. #16838062C22semidirect
52. #16838062C22semidirect
53. #16838053C22semidirect
59. #16838043C22semidirect
60. #16838043C22semidirect
61. #16838043C22semidirect
62. #16838043C22semidirect
64. #16838040C22semidirect
65. #16838036C22semidirect
69. #16837982C22semidirect
71. #16837971C22semidirect
74. #16837968C22semidirect
78. #16837947C22semidirect
79. #16837938C22semidirect
80. C2×#14273716C22semidirect
82. #16837870C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837787C22semidirect
87. #16837763C22semidirect
88. #16837763C22semidirect
89. #16837758C22semidirect
90. #16837758C22semidirect
91. #16837740C22semidirect
92. #16837740C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837726C22semidirect
96. #16837726C22semidirect
97. #16837722C22semidirect
98. #16837717C22semidirect
99. #16837712C22semidirect
100. #16837705C22semidirect
101. #16837696C22semidirect
102. #16837691C22semidirect
103. #16837656C22semidirect
104. #16837656C22semidirect
105. #16837654C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837650C22semidirect
109. #16837639C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837634C22semidirect
113. #16837633C22semidirect
114. #16837633C22semidirect
115. #16837627C22semidirect
116. #16837626C22semidirect
117. #16837626C22semidirect
118. #16837620C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837601C22semidirect
126. #16837596C22semidirect
127. #16837563C22semidirect
128. #16837562C22semidirect
129. #16837562C22semidirect
130. #16837556C22semidirect
131. #16837552C22semidirect
132. #16837552C22semidirect
133. #16837552C22semidirect
134. #16837552C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
141. #16837549C22semidirect
142. #16837549C22semidirect
143. #16837546C22semidirect
145. #16837545C22semidirect
146. #16837542C22semidirect
147. #16837542C22semidirect
148. #16837541C22semidirect
149. #16837541C22semidirect
150. #16837539C22semidirect
153. #16837538C22semidirect
154. #16837538C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837513C22semidirect
160. #16837506C22semidirect
161. #16837505C22semidirect
162. #16837501C22semidirect
163. #16837493C22semidirect
164. #16837489C22semidirect
165. #16837484C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837473C22semidirect
171. #16837471C22semidirect
172. #16837470C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837456C22semidirect
176. #16837452C22semidirect
177. #16837409C22semidirect
178. #16837408C22semidirect
179. #16837402C22semidirect
180. #16837401C22semidirect
181. #16837399C22semidirect
182. #16837397C22semidirect
183. #103×D59C22semidirect
184. C2×#14273647C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
189. C59×#536C22semidirect
190. C59×#485C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#408C22semidirect
965. #3201D59semidirect
1030. #536C2×D59semidirect
1053. #485C2×D59semidirect
1054. #484C2×D59semidirect
1055. #483C2×D59semidirect
1060. #482C2×D59semidirect
1067. #470C2×D59semidirect
1074. #468C2×D59semidirect
1075. #467C2×D59semidirect
1082. #465C2×D59semidirect
1098. #452C2×D59semidirect
1099. #452C2×D59semidirect
1101. #451C2×D59semidirect
1122. #448C2×D59semidirect
1160. #408C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384582
#214378852
#214363522
#214363032
#214361682
#214361272
#214360902
#214360552
#214359932
#214359442
#214358012
#214357782
#214357242
#214357002
#214356852
#214356392
#214355982
#214355732
#214350822
#214350662
#214349632
#214349602
#214349542
#214342082
#214341512
#214334122
#214333972
#214333772
#214333662
#214331692
C59×#32012
#6169059