Finite Group Databasebeta

← #29474138

Subgroups — #29474138

Order 15104.

2232 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438121C211yesmaximal, characteristic, complemented
2#550×D59C211yesmaximal, characteristic, complemented
3#21436432C211yesmaximal, characteristic, complemented
4#21436430C211yesmaximal, characteristic, complemented
5#21436101C211yesmaximal, characteristic, complemented
6#21436099C211yesmaximal, characteristic, complemented
7#21436096C211yesmaximal, characteristic, complemented
8#21436044C211yesmaximal, characteristic, complemented
9#21436042C211yesmaximal, characteristic, complemented
10#21435853C211yesmaximal, characteristic, complemented
11#21435849C211yesmaximal, characteristic, complemented
12#21435713C211yesmaximal, characteristic, complemented
13#21435709C211yesmaximal, characteristic, complemented
14#21435642C211yesmaximal, characteristic, complemented
15#21435641C211yesmaximal, characteristic, complemented
16#21435638C211yesmaximal, characteristic, complemented
17#21435637C211yesmaximal, characteristic, complemented
18#21435115C211yesmaximal, characteristic, complemented
19#21435013C211yesmaximal, characteristic, complemented
20#21434914C211yesmaximal, characteristic, complemented
21#21434905C211yesmaximal, characteristic, complemented
22#21434846C211yesmaximal, characteristic, complemented
23#21434843C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434181C211yesmaximal, characteristic, complemented
26#21433349C211yesmaximal, characteristic, complemented
27#21433345C211yesmaximal, characteristic, complemented
28#21433316C211yesmaximal, characteristic, complemented
29#21433311C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3309C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×#14273747C2211yescharacteristic, complemented
41C2×#14273746C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838107C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic, complemented
45#16838103—21no—
46#16838074C2211yescharacteristic, complemented
47#16838073—21no—
48#16838073C2211yescharacteristic, complemented
49#16838072—21no—
50#16838072C2211yescharacteristic, complemented
51#16838071C2211yescharacteristic
52#16838071C2211yescharacteristic, complemented
53#16838070—21no—
54#16838070—21no—
55#16838070C2211yescharacteristic
56#16838070C2211yescharacteristic, complemented
57#16838070C2211yescharacteristic, complemented
58#16838048—21no—
59#16838048C2211yescharacteristic, complemented
60#16838047C2211yescharacteristic, complemented
61#16838044—21no—
62#16838036—21no—
63#16838036C2211yescharacteristic, complemented
64#16838004—21no—
65#16837991—21no—
66#16837989—21no—
67#16837949C2211yescharacteristic
68#127×D59—21no—
69#127×D59C2211yescharacteristic, complemented
70#16837937C2211yescharacteristic
71#16837914C2211yescharacteristic
72#16837912C2211yescharacteristic
73C2×#14273702C2211yescharacteristic
74#121×D59—21no—
75#121×D59—21no—
76#121×D59C2211yescharacteristic
77#121×D59C2211yescharacteristic, complemented
78#121×D59C2211yescharacteristic, complemented
79#16837874—21no—
80C4×Q8×D59C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837601C2211yescharacteristic, complemented
120#16837601C2211yescharacteristic, complemented
121#16837601C2211yescharacteristic, complemented
122#16837600C2211yescharacteristic, complemented
123#16837598C2211yescharacteristic, complemented
124#16837597C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837559C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic, complemented
140#16837548C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic, complemented
143#16837548C2211yescharacteristic, complemented
144#16837547C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic, complemented
147#16837545C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic
150#16837542C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic
154#16837537C2211yescharacteristic
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837496C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218#41×D59—42no—
219#41×D59—42no—
220C2×Q8×D59C2311yescharacteristic
221C22×D236—21no—
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59D411yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C22×C4×D59—21no—
236C22×C4×D59—21no—
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239#14273755—42no—
240#14273754—42no—
241#14273752—42no—
242#14273751—42no—
243#14273749—42no—
244#14273748—42no—
245#14273747—42no—
246#14273746—42no—
247C2×Dic236C2311yescharacteristic
248C2×#11745672C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745670C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×D472C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745669C2311yescharacteristic
266C2×#11745669C2311yescharacteristic
267C2×#11745669C2311yescharacteristic
268C2×#11745664C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C2×#11745659C2311yescharacteristic
271C22×C59⋊C8C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273C2×C8×D59C2311yescharacteristic
274#14273726C2311yescharacteristic
275#14273724—21no—
276#14273724C2311yescharacteristic
277#14273723—21no—
278#14273723—21no—
279#14273723—21no—
280#14273723—21no—
281#14273723—21no—
282#14273723—21no—
283#14273723—21no—
284#14273723—21no—
285#14273723—21no—
286#14273723C2311yescharacteristic
287#14273723C2311yescharacteristic
288#14273723C2311yescharacteristic
289#14273722—21no—
290#14273722—21no—
291#14273717—21no—
292#14273715—21no—
293#14273715C2311yescharacteristic
294#14273713—21no—
295#14273713—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712—21no—
299#14273711—21no—
300#14273711—21no—
301#14273709—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273701—21no—
320#14273701—21no—
321#14273701—21no—
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273698—21no—
346#14273698—21no—
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356Q8×Dic59C2311yescharacteristic
357C4×Dic118—21no—
358C4×Dic118C2311yescharacteristic
359#14273692—21no—
360#14273692C2311yescharacteristic
361#14273692C2311yescharacteristic
362C4×D236—21no—
363C4×D236—21no—
364C4×D236—21no—
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367D4×Dic59—21no—
368D4×Dic59—21no—
369D4×Dic59D411yescharacteristic
370#14273689—21no—
371#14273689—21no—
372#14273689—21no—
373#14273689D411yescharacteristic
374#14273689C2311yescharacteristic
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4D411yescharacteristic
386(C22⋊D59)⋊C4D411yescharacteristic
387#14273685—21no—
388#14273685C2311yescharacteristic
389#14273684—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59D411yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
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×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273660C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59—21no—
455#127×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59C2311yescharacteristic
458#123×C59—21no—
459#121×C59—21no—
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495C23×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—41no—
499#41×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
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⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59C2×D411yescharacteristic
546C22×Dic59C2×D411yescharacteristic
547#11745689—22no—
548#11745689—22no—
549#11745689—41no—
550#11745689—41no—
551Q8×D59—22no—
552Q8×D59—22no—
553#11745687—22no—
554#11745687—22no—
555#11745687—41no—
556#11745687—41no—
557#11745687—41no—
558#11745687—41no—
559#11745687—44no—
560#11745687—44no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—42no—
568D4×D59—44no—
569D4×D59—44no—
570D4×D59—44no—
571D4×D59—44no—
572D4×D59—82no—
573D4×D59—82no—
574D4×D59—82no—
575D4×D59—82no—
576#11745685—22no—
577#11745685—22no—
578#11745685—41no—
579#11745685—41no—
580#11745685—44no—
581#11745685—44no—
582#11745685—41no—
583#11745685—41no—
584#11745685—82no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—41no—
598C2×D236—41no—
599C2×D236—82no—
600C2×D236C2×D411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×D236C2411yescharacteristic
603C2×D236C2411yescharacteristic
604C2×D236C2411yescharacteristic
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—41no—
616C2×C4×D59—41no—
617C2×C4×D59—41no—
618C2×C4×D59—41no—
619C2×C4×D59—44no—
620C2×C4×D59—44no—
621C2×C4×D59C2×D411yescharacteristic
622C2×C4×D59C2×D411yescharacteristic
623C2×C4×D59C2×D411yescharacteristic
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2×D411yescharacteristic
627C2×C4×D59C2411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×Dic118—21no—
631C2×Dic118—21no—
632C2×Dic118C2411yescharacteristic
633C2×Dic118C2411yescharacteristic
634SD16×C59—22no—
635D8×C59—41no—
636D8×C59—41no—
637M16×C59—41no—
638C2×C8×C59—41no—
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C2×C8×C59C2411yescharacteristic
642C2×C8×C59C2411yescharacteristic
643C4⋊C4×C59—21no—
644C4⋊C4×C59—21no—
645C4⋊C4×C59—21no—
646C4⋊C4×C59—21no—
647C4⋊C4×C59C2×D411yescharacteristic
648C4⋊C4×C59C2411yescharacteristic
649C4⋊C4×C59C2411yescharacteristic
650C4⋊C4×C59C2411yescharacteristic
651C4⋊C4×C59C2411yescharacteristic
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59C2×D411yescharacteristic
659C22⋊C4×C59C2×D411yescharacteristic
660C42×C59—21no—
661C42×C59—21no—
662C42×C59C2411yescharacteristic
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59C2×D411yescharacteristic
668C22⋊Dic59C2×D411yescharacteristic
669#11745672—22no—
670#11745671—22no—
671#11745671—22no—
672#11745670—22no—
673#11745670—41no—
674#11745670—41no—
675#11745669—41no—
676#11745669—41no—
677#11745669—41no—
678#11745669—41no—
679#11745669—41no—
680#11745669—41no—
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)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701(C2×D59)⋊C4C2×D411yescharacteristic
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59C2×D411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—22no—
732D472—41no—
733D472—41no—
734D472—41no—
735D472—41no—
736#11745660—22no—
737#11745660—22no—
738#11745660—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—22no—
750C22×D59—22no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—41no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—42no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—42no—
766C22×D59—42no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59H(5,𝔽2)12yes—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—41no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—42no—
801C2×C4×C59—42no—
802C2×C4×C59—81no—
803C2×C4×C59—81no—
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C2511yescharacteristic
809C22⋊D59—22no—
810C22⋊D59—22no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—41no—
837C2×Dic59—41no—
838C2×Dic59—42no—
839C2×Dic59—42no—
840C2×Dic59—81no—
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845C2×Dic59C22×D411yescharacteristic
846D236—21no—
847D236—21no—
848D236—21no—
849D236—21no—
850D236—21no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—41no—
855D236—42no—
856D236—42no—
857D236—42no—
858D236—42no—
859D236—42no—
860D236—42no—
861D236—81no—
862D236—81no—
863D236—81no—
864D236—81no—
865D236—81no—
866D236—81no—
867C4×D59—24no—
868C4×D59—22no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—21no—
872C4×D59—21no—
873C4×D59—21no—
874C4×D59—21no—
875C4×D59—22no—
876C4×D59—41no—
877C4×D59—41no—
878C4×D59—41no—
879C4×D59—41no—
880C4×D59—42no—
881C4×D59—42no—
882C4×D59—42no—
883C4×D59—42no—
884C4×D59—42no—
885C4×D59—42no—
886C4×D59—81no—
887C4×D59—81no—
888C4×D59—81no—
889Dic118—24no—
890Dic118—21no—
891Dic118—21no—
892Dic118—21no—
893Dic118—81no—
894Dic118H(5,𝔽2)12yes—
895C8×C59—21no—
896C8×C59—21no—
897C8×C59—21no—
898C8×C59—21no—
899C59⋊C8—21no—
900C59⋊C8—21no—
901C59⋊C8—21no—
902C59⋊C8—21no—
903#61605—591nomaximal, Sylow
904C22×C59—21no—
905C22×C59—21no—
906C22×C59—21no—
907C22×C59—21no—
908C22×C59—21no—
909C22×C59—21no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59C23×D411yescharacteristic
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—82no—
941C2×D59—82no—
942C2×D59—84no—
943C2×D59—84no—
944C2×D59—162no—
945C2×D59—162no—
946C2×D59#57612yes—
947C4×C59—22no—
948C4×C59—21no—
949C4×C59—21no—
950C4×C59—21no—
951C4×C59—21no—
952C4×C59—41no—
953C4×C59—41no—
954C4×C59—41no—
955C4×C59—41no—
956C4×C59C2×H(5,𝔽2)11yescharacteristic
957C4×C59C2×H(5,𝔽2)11yescharacteristic
958Dic59—21no—
959Dic59—22no—
960Dic59—21no—
961Dic59—21no—
962Dic59—21no—
963Dic59—41no—
964Dic59—41no—
965Dic59—41no—
966Dic59#57512yes—
967#3519—591no—
968C2×#550—591no—
969#3333—591no—
970#3333—591no—
971#3309—591no—
972#3309—591no—
973#3309—591no—
974#3309D5911yescharacteristic, complemented
975#3305—591no—
976#3305—591no—
977#3287—591no—
978#3287—591no—
979#3274—591no—
980#3274—591no—
981#3268—591no—
982#3268—591no—
983#3268—591no—
984#3268—591no—
985#3217—591no—
986#3205—591no—
987#3194—591no—
988#3194—591no—
989#3186—591no—
990#3186—591no—
991#3112—591no—
992#3108—591no—
993#3006—591no—
994#3006—591no—
995#3002—591no—
996#3002—591no—
997#2974—591no—
998C2×C59—41no—
999C2×C59—41no—
1000C2×C59—81no—
1001C2×C59—81no—
1002C2×C59—81no—
1003C2×C59#348411yescharacteristic
1004C2×C59C2×#57511yescharacteristic
1005C2×C59C2×#57611yescharacteristic
1006D59—22no—
1007D59—41no—
1008D59—41no—
1009D59—81no—
1010D59—81no—
1011D59—81no—
1012D59—81no—
1013C22×#41—591no—
1014C22×#41—591no—
1015C2×AGL(1,ℤ/8)—591no—
1016C2×AGL(1,ℤ/8)—591no—
1017C2×AGL(1,ℤ/8)—591no—
1018C2×AGL(1,ℤ/8)—591no—
1019C2×#135—591no—
1020C2×#135—591no—
1021C2×#135—591no—
1022C2×#135—591no—
1023#555—591no—
1024#554—591no—
1025#553—591no—
1026#553—1181no—
1027#553C2×D5911yescharacteristic, complemented
1028#550—591no—
1029#550—591no—
1030#550—591no—
1031#550—591no—
1032#550—591no—
1033#550—591no—
1034#550—591no—
1035#550—591no—
1036#550—1181no—
1037#550—1181no—
1038#550—1181no—
1039#550—1181no—
1040#550C2×D5911yescharacteristic, complemented
1041#546—591no—
1042#546—591no—
1043#546—1181no—
1044#546—1181no—
1045D42—591no—
1046D42—1181no—
1047#540—1181no—
1048#538—1181no—
1049#538—1181no—
1050#532—591no—
1051C2×#127—591no—
1052C2×#127—1181no—
1053#529—591no—
1054#525—591no—
1055#525—591no—
1056C2×#121—591no—
1057C2×#121—591no—
1058C2×#121—591no—
1059C2×#121—591no—
1060C2×#121—1181no—
1061C2×#121—1181no—
1062#518—1181no—
1063C2×C4×Q8—591no—
1064C2×C4×D4—591no—
1065C2×C4×D4—1181no—
1066#496—591no—
1067#496—591no—
1068#493—591no—
1069#493—591no—
1070#490—591no—
1071#490C2×D5911yescharacteristic, complemented
1072#486—591no—
1073#486—591no—
1074#483—591no—
1075#482—591no—
1076#482—591no—
1077#482—591no—
1078#482C2×D5911yescharacteristic, complemented
1079#480—591no—
1080#480—591no—
1081#480—591no—
1082#480—591no—
1083#480—591no—
1084#480—591no—
1085#480C2×D5911yescharacteristic, complemented
1086#479—591no—
1087#479C2×D5911yescharacteristic, complemented
1088#477—591no—
1089#477—591no—
1090#469—591no—
1091#469—591no—
1092#469—591no—
1093#469C2×D5911yescharacteristic, complemented
1094#468—591no—
1095#468—591no—
1096#468—591no—
1097#468—591no—
1098#466—591no—
1099#466—591no—
1100#466—591no—
1101#466—591no—
1102#466—591no—
1103#466—591no—
1104#466—591no—
1105#466C2×D5911yescharacteristic, complemented
1106#464—591no—
1107#464—591no—
1108#460—591no—
1109#460—591no—
1110#460—591no—
1111#460—591no—
1112#459—591no—
1113#459—591no—
1114#459—591no—
1115#459—591no—
1116#459—591no—
1117#459C2×D5911yescharacteristic, complemented
1118#452—591no—
1119#452—591no—
1120#452—591no—
1121#452—591no—
1122#451—591no—
1123#450—591no—
1124#450—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449C2×D5911yescharacteristic, complemented
1140#449C2×D5911yescharacteristic, complemented
1141#448—591no—
1142#448—591no—
1143#448—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#447—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#440—591no—
1155#440—591no—
1156#440—591no—
1157#440C2×D5911yescharacteristic, complemented
1158C4×Q16—591no—
1159C4×Q16—591no—
1160C4×SD16—591no—
1161C4×SD16—591no—
1162#436—591no—
1163#436—591no—
1164#435—591no—
1165#435—591no—
1166#435—591no—
1167#435C2×D5911yescharacteristic, complemented
1168C8×D4—591no—
1169C8×D4—591no—
1170#432—591no—
1171#431—591no—
1172#417—591no—
1173#417—591no—
1174#417—591no—
1175#417C2×D5911yescharacteristic, complemented
1176#416—591no—
1177#416—591no—
1178#416—591no—
1179#416C2×D5911yescharacteristic, complemented
1180#407—591no—
1181#407—591no—
1182C2×C22⋊C8—591no—
1183C2×C22⋊C8—591no—
1184C59#6160511yescharacteristic, complemented, Sylow
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—591no—
1191C2×#41—591no—
1192C2×#41—591no—
1193C2×#41—1181no—
1194C2×#41—1181no—
1195C2×#41—1181no—
1196C2×#41—1181no—
1197C2×#41—1181no—
1198C2×#41—2362no—
1199C2×#41—2362no—
1200C2×#41—2362no—
1201C2×#41—2362no—
1202C2×#41C22×D5911yescharacteristic
1203C2×#41C22×D5911yescharacteristic
1204C22×Q8—591no—
1205C22×D4—591no—
1206C22×D4—591no—
1207C22×D4—591no—
1208C22×D4—591no—
1209C22×D4—591no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214C22×D4—1181no—
1215C22×D4—1181no—
1216C22×D4—1181no—
1217C22×D4—1181no—
1218C22×D4—1181no—
1219C23×C4—591no—
1220C23×C4—591no—
1221C23×C4—1181no—
1222C23×C4—1181no—
1223AGL(1,ℤ/8)—2362no—
1224AGL(1,ℤ/8)—2362no—
1225AGL(1,ℤ/8)—2362no—
1226AGL(1,ℤ/8)—2362no—
1227#135—2362no—
1228#135—2362no—
1229#135—2362no—
1230#135—2362no—
1231C2×Q16—591no—
1232C2×Q16—591no—
1233C2×SD16—591no—
1234C2×SD16—591no—
1235C2×SD16—591no—
1236C2×SD16—591no—
1237C2×SD16—591no—
1238C2×SD16—591no—
1239C2×SD16—591no—
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16C22×D5911yescharacteristic
1243C2×D8—591no—
1244C2×D8—591no—
1245C2×D8—591no—
1246C2×D8—591no—
1247C2×D8—591no—
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8—591no—
1252C2×D8—591no—
1253C2×D8C22×D5911yescharacteristic
1254C2×D8C22×D5911yescharacteristic
1255C2×M16—591no—
1256C2×M16—591no—
1257C2×M16—591no—
1258C2×M16C22×D5911yescharacteristic
1259C22×C8—591no—
1260C22×C8—591no—
1261C22×C8—591no—
1262C22×C8C22×D5911yescharacteristic
1263C4⋊Q8—591no—
1264#127—21no—
1265#127—591no—
1266#127—591no—
1267#127—591no—
1268#127—591no—
1269#127—1181no—
1270#127—1181no—
1271#127—1181no—
1272#127—1181no—
1273#127—1181no—
1274#127—1181no—
1275#127—1181no—
1276#127—1181no—
1277#127—1181no—
1278#127—1181no—
1279#127C22×D5911yescharacteristic
1280#126—21no—
1281#126—1181no—
1282#126—1181no—
1283#125—1181no—
1284#125C22×D5911yescharacteristic
1285#124—591no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#123—21no—
1290#123—1181no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296C22⋊Q8—591no—
1297C22⋊Q8—591no—
1298C22⋊Q8—591no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
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—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
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#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121C22×D5911yescharacteristic
1348#121C22×D5911yescharacteristic
1349#121C22×D5911yescharacteristic
1350#121C22×D5911yescharacteristic
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357C4×Q8—591no—
1358C4×Q8—591no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—1181no—
1362C4×Q8—1181no—
1363C4×Q8C22×D5911yescharacteristic
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4—1181no—
1391C4×D4C22×D5911yescharacteristic
1392C4×D4C22×D5911yescharacteristic
1393#117—591no—
1394#117—1181no—
1395#117—1181no—
1396#117C22×D5911yescharacteristic
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4—591no—
1400C2×C4⋊C4—1181no—
1401C2×C4⋊C4C22×D5911yescharacteristic
1402C2×C22⋊C4—591no—
1403C2×C22⋊C4—591no—
1404C2×C22⋊C4—1181no—
1405C2×C22⋊C4—1181no—
1406C2×C22⋊C4—1181no—
1407C2×C22⋊C4—1181no—
1408C2×C22⋊C4—1181no—
1409C2×C22⋊C4—1181no—
1410C2×C42—591no—
1411C2×C42—1181no—
1412#107—591no—
1413#107—591no—
1414#107—591no—
1415#107—591no—
1416#107C22×D5911yescharacteristic
1417#107C22×D5911yescharacteristic
1418#106—591no—
1419#106C22×D5911yescharacteristic
1420C4⋊C8—591no—
1421C4⋊C8—591no—
1422C4⋊C8—591no—
1423C4⋊C8C22×D5911yescharacteristic
1424#103—591no—
1425#103—591no—
1426#103—591no—
1427#103—591no—
1428#103—591no—
1429#103—591no—
1430#103—591no—
1431#103C22×D5911yescharacteristic
1432#103C22×D5911yescharacteristic
1433#103C22×D5911yescharacteristic
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102C22×D5911yescharacteristic
1450#102C22×D5911yescharacteristic
1451#102C22×D5911yescharacteristic
1452#102C22×D5911yescharacteristic
1453#102C22×D5911yescharacteristic
1454#102C22×D5911yescharacteristic
1455#102C22×D5911yescharacteristic
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8—591no—
1461C22⋊C8—591no—
1462C22⋊C8—591no—
1463C22⋊C8—591no—
1464C22⋊C8—591no—
1465C22⋊C8—591no—
1466C22⋊C8C22×D5911yescharacteristic
1467C22⋊C8C22×D5911yescharacteristic
1468#97—591no—
1469#97C22×D5911yescharacteristic
1470C4×C8—591no—
1471C4×C8—591no—
1472C24—591no—
1473C24—591no—
1474C24—1181no—
1475C24—1181no—
1476C24—1181no—
1477C24—1181no—
1478#41—22no—
1479#41—22no—
1480#41—41no—
1481#41—41no—
1482#41—1182no—
1483#41—1182no—
1484#41—1182no—
1485#41—1182no—
1486#41—1182no—
1487#41—1182no—
1488#41—4722no—
1489#41—2361no—
1490#41—2361no—
1491#41—2361no—
1492#41—2361no—
1493#41—2364no—
1494#41—2364no—
1495#41—2361no—
1496#41—2361no—
1497#41—2361no—
1498#41—2361no—
1499#41—2361no—
1500#41—2361no—
1501#41—2364no—
1502#41—2364no—
1503C2×Q8—591no—
1504C2×Q8—591no—
1505C2×Q8—1181no—
1506C2×Q8—1181no—
1507C2×Q8—1182no—
1508C2×Q8—1182no—
1509C2×Q8C23×D5911yescharacteristic
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
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—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—4722no—
1562C2×D4—4722no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—2361no—
1571C2×D4—2362no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4—2364no—
1575C2×D4—2364no—
1576C2×D4D4×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—591no—
1590C22×C4—591no—
1591C22×C4—591no—
1592C22×C4—591no—
1593C22×C4—591no—
1594C22×C4—591no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4—1181no—
1600C22×C4—1181no—
1601C22×C4—1181no—
1602C22×C4—1181no—
1603C22×C4—1181no—
1604C22×C4—1181no—
1605C22×C4—1181no—
1606C22×C4—1181no—
1607C22×C4—1181no—
1608C22×C4—2361no—
1609C22×C4—2361no—
1610C22×C4—2361no—
1611C22×C4—2361no—
1612C22×C4—2364no—
1613C22×C4—2364no—
1614C22×C4C23×D5911yescharacteristic
1615C22×C4C23×D5911yescharacteristic
1616Q16—1182no—
1617Q16—1182no—
1618SD16—22no—
1619SD16—1182no—
1620SD16—1182no—
1621SD16—1182no—
1622SD16—1182no—
1623SD16—1182no—
1624SD16—2361no—
1625SD16—2361no—
1626SD16—2361no—
1627SD16—2361no—
1628D8—41no—
1629D8—41no—
1630D8—2361no—
1631D8—2361no—
1632D8—2361no—
1633D8—2361no—
1634D8—2361no—
1635D8—2361no—
1636D8—2361no—
1637D8—2361no—
1638D8—2361no—
1639D8—2361no—
1640M16—41no—
1641M16—2361no—
1642M16—2361no—
1643M16—2361no—
1644C2×C8—41no—
1645C2×C8—591no—
1646C2×C8—591no—
1647C2×C8—591no—
1648C2×C8—591no—
1649C2×C8—2361no—
1650C2×C8—2361no—
1651C2×C8—2361no—
1652C2×C8C23×D5911yescharacteristic
1653C2×C8C23×D5911yescharacteristic
1654C2×C8C23×D5911yescharacteristic
1655C2×C8C23×D5911yescharacteristic
1656C4⋊C4—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—21no—
1660C4⋊C4—591no—
1661C4⋊C4—591no—
1662C4⋊C4—591no—
1663C4⋊C4—591no—
1664C4⋊C4—591no—
1665C4⋊C4—1181no—
1666C4⋊C4—1181no—
1667C4⋊C4—1181no—
1668C4⋊C4—1181no—
1669C4⋊C4—1181no—
1670C4⋊C4—1181no—
1671C4⋊C4—1181no—
1672C4⋊C4—1181no—
1673C4⋊C4—1181no—
1674C4⋊C4—1181no—
1675C4⋊C4D4×D5911yescharacteristic
1676C4⋊C4C23×D5911yescharacteristic
1677C4⋊C4C23×D5911yescharacteristic
1678C4⋊C4C23×D5911yescharacteristic
1679C4⋊C4C23×D5911yescharacteristic
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—591no—
1687C22⋊C4—591no—
1688C22⋊C4—591no—
1689C22⋊C4—591no—
1690C22⋊C4—591no—
1691C22⋊C4—591no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4D4×D5911yescharacteristic
1714C22⋊C4D4×D5911yescharacteristic
1715C42—21no—
1716C42—21no—
1717C42—591no—
1718C42—591no—
1719C42—591no—
1720C42—1181no—
1721C42—1181no—
1722C42—1181no—
1723C42—1181no—
1724C42—1181no—
1725C42C23×D5911yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—591no—
1730C23—591no—
1731C23—591no—
1732C23—1182no—
1733C23—1182no—
1734C23—1181no—
1735C23—1181no—
1736C23—1181no—
1737C23—1181no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—2361no—
1743C23—2361no—
1744C23—2361no—
1745C23—2361no—
1746C23—2362no—
1747C23—2362no—
1748C23—2362no—
1749C23—2362no—
1750C23—2362no—
1751C23—2362no—
1752C23—2362no—
1753C23—2362no—
1754C23C2×D4×D5911yescharacteristic
1755C23C2×D4×D5911yescharacteristic
1756Q8—21no—
1757Q8—592no—
1758Q8—1184no—
1759Q8—1181no—
1760Q8—1181no—
1761Q8—1181no—
1762Q8—4721no—
1763Q8#1427377312yes—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—41no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—1182no—
1780D4—1182no—
1781D4—1181no—
1782D4—1181no—
1783D4—1181no—
1784D4—1181no—
1785D4—1181no—
1786D4—1181no—
1787D4—1181no—
1788D4—1181no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—4721no—
1800D4—4721no—
1801D4—4721no—
1802D4—4721no—
1803D4—4721no—
1804D4—4721no—
1805D4—4721no—
1806D4—2361no—
1807D4—2362no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2362no—
1819D4—2362no—
1820D4—2362no—
1821D4—2362no—
1822D4—2362no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—591no—
1837C2×C4—591no—
1838C2×C4—591no—
1839C2×C4—591no—
1840C2×C4—591no—
1841C2×C4—1182no—
1842C2×C4—1182no—
1843C2×C4—1184no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—1181no—
1851C2×C4—1181no—
1852C2×C4—1181no—
1853C2×C4—1181no—
1854C2×C4—4721no—
1855C2×C4—4721no—
1856C2×C4—4721no—
1857C2×C4—4721no—
1858C2×C4—2361no—
1859C2×C4—2361no—
1860C2×C4—2361no—
1861C2×C4—2361no—
1862C2×C4—2362no—
1863C2×C4—2362no—
1864C2×C4—2362no—
1865C2×C4—2362no—
1866C2×C4—2362no—
1867C2×C4—2362no—
1868C2×C4—2361no—
1869C2×C4—2361no—
1870C2×C4—2362no—
1871C2×C4—2362no—
1872C2×C4C2×D4×D5911yescharacteristic
1873C2×C4C2×D4×D5911yescharacteristic
1874C2×C4C2×D4×D5911yescharacteristic
1875C2×C4C2×D4×D5911yescharacteristic
1876C2×C4C24×D5911yescharacteristic
1877C8—21no—
1878C8—21no—
1879C8—21no—
1880C8—21no—
1881C8—1181no—
1882C8—1181no—
1883C8—1181no—
1884C8—1181no—
1885C22—21no—
1886C22—21no—
1887C22—21no—
1888C22—21no—
1889C22—21no—
1890C22—21no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—592no—
1901C22—1181no—
1902C22—1181no—
1903C22—1181no—
1904C22—1181no—
1905C22—1181no—
1906C22—1181no—
1907C22—1181no—
1908C22—1181no—
1909C22—9442no—
1910C22—9442no—
1911C22—4722no—
1912C22—4722no—
1913C22—4724no—
1914C22—4724no—
1915C22—2361no—
1916C22—2361no—
1917C22—2361no—
1918C22—2361no—
1919C22—2361no—
1920C22—2361no—
1921C22—2361no—
1922C22—2361no—
1923C22—2361no—
1924C22—2361no—
1925C22—2361no—
1926C22—2361no—
1927C22C22×D4×D5911yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—22no—
1931C4—21no—
1932C4—21no—
1933C4—41no—
1934C4—41no—
1935C4—41no—
1936C4—41no—
1937C4—592no—
1938C4—1181no—
1939C4—1181no—
1940C4—1181no—
1941C4—1182no—
1942C4—1181no—
1943C4—2361no—
1944C4—2361no—
1945C4—2361no—
1946C4H(5,𝔽2)×D5911yescharacteristic
1947C4C2×#1427377311yescharacteristic
1948C2—41no—
1949C2—41no—
1950C2—81no—
1951C2—81no—
1952C2—81no—
1953C2—1182no—
1954C2—4721no—
1955C2—4721no—
1956C2—4721no—
1957C2—4721no—
1958C2—2361no—
1959C2—2361no—
1960C2#2143772611yescharacteristic
1961C2#575×D5911yescharacteristic
1962C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3309C2
socleC22×C59C23×D4
hypercenter#3309D59
hypocenterC59#61605
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21438121C2semidirect
2. #550×D59C2semidirect
3. #21436432C2semidirect
4. #21436430C2semidirect
5. #21436101C2semidirect
6. #21436099C2semidirect
7. #21436096C2semidirect
8. #21436044C2semidirect
9. #21436042C2semidirect
10. #21435853C2semidirect
11. #21435849C2semidirect
12. #21435713C2semidirect
13. #21435709C2semidirect
14. #21435642C2semidirect
15. #21435641C2semidirect
16. #21435638C2semidirect
17. #21435637C2semidirect
18. #21435115C2semidirect
19. #21435013C2semidirect
20. #21434914C2semidirect
21. #21434905C2semidirect
22. #21434846C2semidirect
23. #21434843C2semidirect
24. #21434216C2semidirect
25. #21434181C2semidirect
26. #21433349C2semidirect
27. #21433345C2semidirect
28. #21433316C2semidirect
29. #21433311C2semidirect
30. #21433126C2semidirect
31. C59×#3309C2semidirect
32. C2×#41×D59C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273748C22semidirect
40. C2×#14273747C22semidirect
41. C2×#14273746C22semidirect
42. #16838115C22semidirect
43. #16838107C22semidirect
44. #16838105C22semidirect
46. #16838074C22semidirect
48. #16838073C22semidirect
50. #16838072C22semidirect
52. #16838071C22semidirect
56. #16838070C22semidirect
57. #16838070C22semidirect
59. #16838048C22semidirect
60. #16838047C22semidirect
63. #16838036C22semidirect
69. #127×D59C22semidirect
77. #121×D59C22semidirect
78. #121×D59C22semidirect
80. C4×Q8×D59C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837777C22semidirect
86. #16837777C22semidirect
87. #16837768C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837734C22semidirect
91. #16837728C22semidirect
92. #16837726C22semidirect
93. #16837724C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837715C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837706C22semidirect
101. #16837696C22semidirect
102. #16837695C22semidirect
103. #16837656C22semidirect
104. #16837654C22semidirect
105. #16837653C22semidirect
106. #16837649C22semidirect
107. #16837648C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837639C22semidirect
111. #16837639C22semidirect
112. #16837638C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837636C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837601C22semidirect
120. #16837601C22semidirect
121. #16837601C22semidirect
122. #16837600C22semidirect
123. #16837598C22semidirect
124. #16837597C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837594C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837564C22semidirect
132. #16837559C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837549C22semidirect
139. #16837549C22semidirect
140. #16837548C22semidirect
141. #16837548C22semidirect
142. #16837548C22semidirect
143. #16837548C22semidirect
144. #16837547C22semidirect
145. #16837545C22semidirect
146. #16837545C22semidirect
147. #16837545C22semidirect
148. #16837544C22semidirect
150. #16837542C22semidirect
151. #16837539C22semidirect
152. #16837538C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837504C22semidirect
163. #16837502C22semidirect
164. #16837500C22semidirect
165. #16837496C22semidirect
166. #16837494C22semidirect
167. #16837489C22semidirect
168. #16837487C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837402C22semidirect
179. #16837401C22semidirect
180. #16837400C22semidirect
181. #16837397C22semidirect
182. #16837396C22semidirect
183. #16837395C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#553C22semidirect
189. C59×#550C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
974. #3309D59semidirect
1027. #553C2×D59semidirect
1040. #550C2×D59semidirect
1071. #490C2×D59semidirect
1078. #482C2×D59semidirect
1085. #480C2×D59semidirect
1087. #479C2×D59semidirect
1093. #469C2×D59semidirect
1105. #466C2×D59semidirect
1117. #459C2×D59semidirect
1139. #449C2×D59semidirect
1140. #449C2×D59semidirect
1157. #440C2×D59semidirect
1167. #435C2×D59semidirect
1175. #417C2×D59semidirect
1179. #416C2×D59semidirect
1184. C59#61605semidirect

Maximal subgroups

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

subgroupindex
#214381212
#550×D592
#214364322
#214364302
#214361012
#214360992
#214360962
#214360442
#214360422
#214358532
#214358492
#214357132
#214357092
#214356422
#214356412
#214356382
#214356372
#214351152
#214350132
#214349142
#214349052
#214348462
#214348432
#214342162
#214341812
#214333492
#214333452
#214333162
#214333112
#214331262
C59×#33092
#6160559