Finite Group Databasebeta

← #29473916

Subgroups — #29473916

Order 15104.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438121C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436348C211yesmaximal, characteristic, complemented
4#21436346C211yesmaximal, characteristic, complemented
5#21436280C211yesmaximal, characteristic, complemented
6#21436278C211yesmaximal, characteristic, complemented
7#21436205C211yesmaximal, characteristic, complemented
8#21436203C211yesmaximal, characteristic, complemented
9#21435992C211yesmaximal, characteristic, complemented
10#21435808C211yesmaximal, characteristic, complemented
11#21435804C211yesmaximal, characteristic, complemented
12#21435733C211yesmaximal, characteristic, complemented
13#21435729C211yesmaximal, characteristic, complemented
14#21435678C211yesmaximal, characteristic, complemented
15#21435674C211yesmaximal, characteristic, complemented
16#21435588C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435081C211yesmaximal, characteristic, complemented
19#21435062C211yesmaximal, characteristic, complemented
20#21434930C211yesmaximal, characteristic, complemented
21#21434895C211yesmaximal, characteristic, complemented
22#21434856C211yesmaximal, characteristic, complemented
23#21434848C211yesmaximal, characteristic, complemented
24#21434272C211yesmaximal, characteristic, complemented
25#21434125C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21433327C211yesmaximal, characteristic, complemented
28#21433316C211yesmaximal, characteristic, complemented
29C2×#16837542C211yesmaximal, characteristic, complemented
30#21433129C211yesmaximal, characteristic, complemented
31C59×#3301C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C22×Q8×D59C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745660C2211yescharacteristic, complemented
41C22×#11745671C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838107C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic, complemented
45#16838103—21no—
46#16838070C2211yescharacteristic, complemented
47#16838064C2211yescharacteristic, complemented
48#16838063C2211yescharacteristic
49#16838062—21no—
50#16838062C2211yescharacteristic, complemented
51#16838061—21no—
52#16838061C2211yescharacteristic, complemented
53#16838060—21no—
54#16838060C2211yescharacteristic, complemented
55#16838059C2211yescharacteristic, complemented
56#16838058—21no—
57#16838058C2211yescharacteristic
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#16837937C2211yescharacteristic
69#124×D59—21no—
70#124×D59C2211yescharacteristic, complemented
71#16837914C2211yescharacteristic
72#16837912C2211yescharacteristic
73C22⋊Q8×D59—21no—
74C22⋊Q8×D59C2211yescharacteristic, complemented
75C2×#14273702C2211yescharacteristic
76#121×D59—21no—
77#121×D59C2211yescharacteristic
78#121×D59C2211yescharacteristic, complemented
79#16837874—21no—
80C4×Q8×D59C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837790C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic
97#16837722C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837686C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837560C2211yescharacteristic, complemented
133#16837559C2211yescharacteristic, complemented
134#16837559C2211yescharacteristic, complemented
135#16837558C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837549C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic, complemented
143#16837547C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837542C2211yescharacteristic
147#16837542C2211yescharacteristic
148#16837542C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837540C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837538C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic
159#16837537C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837508C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166C4×#11745660C2211yescharacteristic, complemented
167C4×#11745671C2211yescharacteristic, complemented
168C4×#11745670C2211yescharacteristic, complemented
169#16837481C2211yescharacteristic, complemented
170#16837479C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175D4×C59⋊C8C2211yescharacteristic, complemented
176#16837458C2211yescharacteristic, complemented
177#16837453C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183C2×#14273650C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211#41×D59—42no—
212#41×D59—42no—
213C22×Dic118—21no—
214C22×Dic118C2311yescharacteristic
215C2×Q8×D59—21no—
216C2×Q8×D59—21no—
217C2×Q8×D59—42no—
218C2×Q8×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C22×D236—21no—
224C22×D236C2311yescharacteristic
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59D411yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C22×C4×D59—21no—
233C22×C4×D59—21no—
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236#14273756—42no—
237#14273756—42no—
238#14273754—42no—
239#14273751—42no—
240#14273749—42no—
241#14273747—42no—
242C2×Dic236C2311yescharacteristic
243C2×Dic236C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745672C2311yescharacteristic
246C2×#11745660—42no—
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745671—42no—
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258C2×#11745671C2311yescharacteristic
259C2×#11745671C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×D472C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C22×C59⋊C8C2311yescharacteristic
270C22×C59⋊C8C2311yescharacteristic
271#14273726C2311yescharacteristic
272#14273723—21no—
273#14273723C2311yescharacteristic
274#14273722—21no—
275#14273722—21no—
276#14273717—21no—
277#14273716—21no—
278#14273716C2311yescharacteristic
279#14273715—21no—
280#14273715—21no—
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273714—21no—
284#14273714C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273711—21no—
297#14273711—21no—
298#14273709—21no—
299#14273707—21no—
300#14273707C2311yescharacteristic
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706—21no—
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704—21no—
314#14273703—21no—
315#14273703C2311yescharacteristic
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273701—21no—
327#14273701—21no—
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273698—21no—
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353Q8×Dic59C2311yescharacteristic
354C4×Dic118—21no—
355C4×Dic118C2311yescharacteristic
356#14273692—21no—
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359C4×D236—21no—
360C4×D236—21no—
361C4×D236—21no—
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364D4×Dic59—21no—
365D4×Dic59—21no—
366D4×Dic59D411yescharacteristic
367#14273689—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689D411yescharacteristic
371#14273689C2311yescharacteristic
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4D411yescharacteristic
383(C22⋊D59)⋊C4D411yescharacteristic
384#14273685—21no—
385#14273685C2311yescharacteristic
386#14273684—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59D411yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C4⋊C4×D59C2311yescharacteristic
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—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#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
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#14273637C2311yescharacteristic
445#14273637C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
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#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534#11745689—22no—
535#11745689—41no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—22no—
539Q8×D59—22no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—41no—
543Q8×D59—41no—
544Q8×D59—44no—
545Q8×D59—44no—
546#11745687—22no—
547#11745687—41no—
548#11745687—41no—
549#11745687—41no—
550#11745687—44no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—44no—
556D4×D59—42no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—82no—
560#11745685—22no—
561#11745685—41no—
562#11745685—44no—
563#11745685—41no—
564#11745685—41no—
565#11745685—82no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—41no—
575C2×D236—41no—
576C2×D236—82no—
577C2×D236C2×D411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×D236C2411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—41no—
593C2×C4×D59—41no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—44no—
597C2×C4×D59—44no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×Dic118—21no—
608C2×Dic118—22no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118—21no—
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118—41no—
615C2×Dic118—44no—
616C2×Dic118C2411yescharacteristic
617C2×Dic118C2411yescharacteristic
618C2×Dic118C2411yescharacteristic
619SD16×C59—22no—
620SD16×C59—41no—
621D8×C59—41no—
622C2×C8×C59—41no—
623C2×C8×C59—41no—
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59C2×D411yescharacteristic
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×C59C2×D411yescharacteristic
647C22⋊C4×C59C2×D411yescharacteristic
648C42×C59—21no—
649C42×C59—21no—
650C42×C59C2411yescharacteristic
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59C2×D411yescharacteristic
658C22⋊Dic59C2×D411yescharacteristic
659#11745672—22no—
660#11745672—41no—
661#11745671—22no—
662#11745671—22no—
663#11745671—41no—
664#11745671—41no—
665#11745670—22no—
666#11745670—41no—
667#11745670—41no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
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)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59C2×D411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2411yescharacteristic
722C2×C59⋊C8—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728Dic236—22no—
729Dic236—41no—
730D472—41no—
731D472—41no—
732#11745660—22no—
733#11745660—22no—
734#11745660—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739#11745659—41no—
740#11745659—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—22no—
746C22×D59—22no—
747C22×D59—22no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—41no—
752C22×D59—41no—
753C22×D59—41no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59C22×D411yescharacteristic
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—42no—
770Q8×C59H(5,𝔽2)12yes—
771D4×C59—22no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
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—42no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C2511yescharacteristic
799C22⋊D59—22no—
800C22⋊D59—41no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—41no—
819C2×Dic59—41no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—81no—
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828D236—21no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—41no—
835D236—42no—
836D236—42no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—81no—
841D236—81no—
842D236—81no—
843C4×D59—24no—
844C4×D59—22no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—41no—
852C4×D59—41no—
853C4×D59—41no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866Dic118—24no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118—42no—
876Dic118—81no—
877Dic118H(5,𝔽2)12yes—
878C8×C59—21no—
879C8×C59—21no—
880C8×C59—21no—
881C8×C59—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884C59⋊C8—21no—
885C59⋊C8—21no—
886#61594—591nomaximal, Sylow
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59#57512yes—
899C22×C59C23×D411yescharacteristic
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—44no—
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—82no—
919C2×D59—84no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59#57712yes—
923C4×C59—22no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935Dic59—21no—
936Dic59—22no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3519—591no—
946C2×#548—591no—
947#3326—591no—
948#3326—591no—
949#3321—591no—
950#3321—591no—
951#3316—591no—
952#3316—591no—
953#3301—591no—
954#3301D5911yescharacteristic, complemented
955#3282—591no—
956#3282—591no—
957#3275—591no—
958#3275—591no—
959#3271—591no—
960#3271—591no—
961#3265—591no—
962#3265—591no—
963#3213—591no—
964#3211—591no—
965#3196—591no—
966#3192—591no—
967#3188—591no—
968#3187—591no—
969#3117—591no—
970#3103—591no—
971#3006—591no—
972#3004—591no—
973#3002—591no—
974C2×#448—591no—
975#2974—591no—
976C2×C59—22no—
977C2×C59—41no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59#348411yescharacteristic
981C2×C59C2×#57511yescharacteristic
982C2×C59C2×#57711yescharacteristic
983D59—22no—
984D59—41no—
985D59—41no—
986D59—81no—
987D59—81no—
988D59—81no—
989C22×#41—591no—
990C23×Q8—591no—
991C2×#137—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×#135—591no—
996C2×#135—591no—
997C22×SD16—591no—
998C22×SD16—591no—
999#555—591no—
1000#554—591no—
1001#553—591no—
1002#553—1181no—
1003#553C2×D5911yescharacteristic, complemented
1004#550—591no—
1005#548—591no—
1006#548—591no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#548—591no—
1012#548—1181no—
1013#548—1181no—
1014#548—1181no—
1015#548—1181no—
1016#548C2×D5911yescharacteristic, complemented
1017#546—591no—
1018#546—591no—
1019#546—1181no—
1020#546—1181no—
1021D42—591no—
1022D42—1181no—
1023#540—1181no—
1024#538—1181no—
1025#538—1181no—
1026#532—591no—
1027#529—591no—
1028C2×#124—591no—
1029C2×#124—1181no—
1030#525—591no—
1031#525—591no—
1032C2×C22⋊Q8—591no—
1033C2×C22⋊Q8—1181no—
1034C2×#121—591no—
1035C2×#121—591no—
1036C2×#121—591no—
1037C2×#121—1181no—
1038#518—1181no—
1039C2×C4×Q8—591no—
1040C2×C4×D4—591no—
1041C2×C4×D4—1181no—
1042#496—591no—
1043#496—591no—
1044#495—591no—
1045#495—591no—
1046#489—591no—
1047#489—591no—
1048#488—591no—
1049#488C2×D5911yescharacteristic, complemented
1050#485—591no—
1051#485C2×D5911yescharacteristic, complemented
1052#484—591no—
1053#483—591no—
1054#483—591no—
1055#482—591no—
1056#482—591no—
1057#481—591no—
1058#481—591no—
1059#481—591no—
1060#481—591no—
1061#481C2×D5911yescharacteristic, complemented
1062#479—591no—
1063#479C2×D5911yescharacteristic, complemented
1064#475—591no—
1065#475—591no—
1066#470—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#469—591no—
1072#468—591no—
1073#468—591no—
1074#466—591no—
1075#466C2×D5911yescharacteristic, complemented
1076#465—591no—
1077#465—591no—
1078#465—591no—
1079#465—591no—
1080#465—591no—
1081#465C2×D5911yescharacteristic, complemented
1082#464—591no—
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#463C2×D5911yescharacteristic, complemented
1092#460—591no—
1093#460—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#451—591no—
1099#451—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449C2×D5911yescharacteristic, complemented
1113#448—591no—
1114#448—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#448—591no—
1124#448C2×D5911yescharacteristic, complemented
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#441—591no—
1131#441—591no—
1132#440—591no—
1133#440—591no—
1134C4×SD16—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×SD16C2×D5911yescharacteristic, complemented
1138#436—591no—
1139#436—591no—
1140#435—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144C8×D4—591no—
1145C8×D4C2×D5911yescharacteristic, complemented
1146#432—591no—
1147#431—591no—
1148#419—591no—
1149#419—591no—
1150#417—591no—
1151#417—591no—
1152#416—591no—
1153#416C2×D5911yescharacteristic, complemented
1154C2×#103—591no—
1155C2×#103C2×D5911yescharacteristic, complemented
1156#407—591no—
1157#407—591no—
1158C2×C22⋊C8—591no—
1159C2×C22⋊C8—591no—
1160C59#6159411yescharacteristic, complemented, Sylow
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41—591no—
1165C2×#41—591no—
1166C2×#41—1181no—
1167C2×#41—1181no—
1168C2×#41—1181no—
1169C2×#41—2362no—
1170C2×#41—2362no—
1171C2×#41C22×D5911yescharacteristic
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×Q8—591no—
1175C22×Q8—591no—
1176C22×Q8—591no—
1177C22×Q8—1181no—
1178C22×Q8—1181no—
1179C22×Q8—1181no—
1180C22×Q8—2362no—
1181C22×Q8—2362no—
1182C22×Q8C22×D5911yescharacteristic
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C23×C4—591no—
1193C23×C4—591no—
1194C23×C4—1181no—
1195C23×C4—1181no—
1196#137—2362no—
1197#137—2362no—
1198AGL(1,ℤ/8)—2362no—
1199AGL(1,ℤ/8)—2362no—
1200#135—2362no—
1201#135—2362no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×Q16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—2362no—
1219C2×SD16—2362no—
1220C2×SD16C22×D5911yescharacteristic
1221C2×SD16C22×D5911yescharacteristic
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—591no—
1227C2×D8C22×D5911yescharacteristic
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16—591no—
1231C2×M16—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8C22×D5911yescharacteristic
1235C22×C8C22×D5911yescharacteristic
1236C4⋊Q8—591no—
1237#127—591no—
1238#127—1181no—
1239#126—21no—
1240#126—1181no—
1241#126—1181no—
1242#125—1181no—
1243#125C22×D5911yescharacteristic
1244#124—21no—
1245#124—591no—
1246#124—591no—
1247#124—591no—
1248#124—591no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124C22×D5911yescharacteristic
1262#123—21no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269C22⋊Q8—21no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8C22×D5911yescharacteristic
1288#121—21no—
1289#121—21no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
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#121C22×D5911yescharacteristic
1322#121C22×D5911yescharacteristic
1323#121C22×D5911yescharacteristic
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×Q8—591no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—1181no—
1335C4×Q8—1181no—
1336C4×Q8C22×D5911yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4C22×D5911yescharacteristic
1365C4×D4C22×D5911yescharacteristic
1366#117—591no—
1367#117—1181no—
1368#117—1181no—
1369#117C22×D5911yescharacteristic
1370C2×C4⋊C4—591no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—1181no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4C22×D5911yescharacteristic
1376C2×C22⋊C4—591no—
1377C2×C22⋊C4—591no—
1378C2×C22⋊C4—1181no—
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×C42—591no—
1387C2×C42—1181no—
1388#107—591no—
1389#107C22×D5911yescharacteristic
1390#106—591no—
1391#106—591no—
1392#106—591no—
1393#106—591no—
1394#106C22×D5911yescharacteristic
1395#106C22×D5911yescharacteristic
1396C4⋊C8—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400#103—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#103—591no—
1410#103—591no—
1411#103—591no—
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#103C22×D5911yescharacteristic
1416#103C22×D5911yescharacteristic
1417#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432C22⋊C8—591no—
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⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444#97—591no—
1445#97—591no—
1446C4×C8—591no—
1447C4×C8C22×D5911yescharacteristic
1448C24—591no—
1449C24—591no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453#41—22no—
1454#41—41no—
1455#41—1182no—
1456#41—1182no—
1457#41—1182no—
1458#41—4722no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2364no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—591no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—1181no—
1477C2×Q8—1181no—
1478C2×Q8—1181no—
1479C2×Q8—1182no—
1480C2×Q8—1182no—
1481C2×Q8—1182no—
1482C2×Q8—1181no—
1483C2×Q8—1182no—
1484C2×Q8—1182no—
1485C2×Q8—2361no—
1486C2×Q8—2364no—
1487C2×Q8—2361no—
1488C2×Q8—2361no—
1489C2×Q8—2361no—
1490C2×Q8—2361no—
1491C2×Q8—2364no—
1492C2×Q8—2364no—
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
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—4722no—
1526C2×D4—4722no—
1527C2×D4—2361no—
1528C2×D4—2361no—
1529C2×D4—2361no—
1530C2×D4—2361no—
1531C2×D4—2361no—
1532C2×D4—2361no—
1533C2×D4—2364no—
1534C2×D4—2362no—
1535C2×D4—2364no—
1536C2×D4—2364no—
1537C2×D4D4×D5911yescharacteristic
1538C2×D4C23×D5911yescharacteristic
1539C2×D4C23×D5911yescharacteristic
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—591no—
1545C22×C4—591no—
1546C22×C4—591no—
1547C22×C4—591no—
1548C22×C4—591no—
1549C22×C4—591no—
1550C22×C4—591no—
1551C22×C4—591no—
1552C22×C4—591no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—1181no—
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—2361no—
1570C22×C4—2361no—
1571C22×C4—2361no—
1572C22×C4—2361no—
1573C22×C4—2364no—
1574C22×C4—2364no—
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577Q16—1182no—
1578Q16—1182no—
1579Q16—2361no—
1580Q16—2361no—
1581SD16—22no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—1182no—
1586SD16—1182no—
1587SD16—1182no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591SD16—2361no—
1592SD16—2361no—
1593SD16—2361no—
1594SD16—2361no—
1595D8—41no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600D8—2361no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604M16—2361no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—591no—
1610C2×C8—591no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C2×C8C23×D5911yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
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⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4D4×D5911yescharacteristic
1641C4⋊C4C23×D5911yescharacteristic
1642C4⋊C4C23×D5911yescharacteristic
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1687C22⋊C4D4×D5911yescharacteristic
1688C42—21no—
1689C42—21no—
1690C42—591no—
1691C42—591no—
1692C42—591no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C42—1181no—
1698C42C23×D5911yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—591no—
1702C23—591no—
1703C23—591no—
1704C23—1182no—
1705C23—1182no—
1706C23—1182no—
1707C23—1181no—
1708C23—1181no—
1709C23—1181no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—2361no—
1715C23—2361no—
1716C23—2361no—
1717C23—2362no—
1718C23—2362no—
1719C23—2362no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723C23C2×D4×D5911yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—42no—
1728Q8—592no—
1729Q8—1184no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—4721no—
1736Q8—2362no—
1737Q8—2362no—
1738Q8—2362no—
1739Q8—2362no—
1740Q8#1427377312yes—
1741D4—22no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—1182no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—1181no—
1756D4—1181no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—2361no—
1766D4—2362no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4—2362no—
1771D4—2361no—
1772D4—2362no—
1773D4—2362no—
1774D4—2362no—
1775D4—2362no—
1776D4—2362no—
1777D4—2362no—
1778D4—2362no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—591no—
1794C2×C4—591no—
1795C2×C4—591no—
1796C2×C4—591no—
1797C2×C4—591no—
1798C2×C4—1182no—
1799C2×C4—1184no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—4721no—
1812C2×C4—4721no—
1813C2×C4—4721no—
1814C2×C4—4721no—
1815C2×C4—2361no—
1816C2×C4—2361no—
1817C2×C4—2361no—
1818C2×C4—2361no—
1819C2×C4—2361no—
1820C2×C4—2362no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2361no—
1828C2×C4—2361no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—592no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—9442no—
1865C22—9442no—
1866C22—4722no—
1867C22—4724no—
1868C22—2364no—
1869C22—2361no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22#1683819912yes—
1879C22C22×D4×D5911yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—22no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—1181no—
1891C4—1181no—
1892C4—1181no—
1893C4—1182no—
1894C4—1181no—
1895C4—1181no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4H(5,𝔽2)×D5911yescharacteristic
1901C4C2×#1427377311yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—1182no—
1907C2—4721no—
1908C2—4721no—
1909C2—4721no—
1910C2—2361no—
1911C2—2361no—
1912C2#2143772611yescharacteristic
1913C2C2×#1683819911yescharacteristic
1914C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3301C2
socleC22×C59C23×D4
hypercenter#3301D59
hypocenterC59#61594
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #21438121C2semidirect
2. #548×D59C2semidirect
3. #21436348C2semidirect
4. #21436346C2semidirect
5. #21436280C2semidirect
6. #21436278C2semidirect
7. #21436205C2semidirect
8. #21436203C2semidirect
9. #21435992C2semidirect
10. #21435808C2semidirect
11. #21435804C2semidirect
12. #21435733C2semidirect
13. #21435729C2semidirect
14. #21435678C2semidirect
15. #21435674C2semidirect
16. #21435588C2semidirect
17. #21435584C2semidirect
18. #21435081C2semidirect
19. #21435062C2semidirect
20. #21434930C2semidirect
21. #21434895C2semidirect
22. #21434856C2semidirect
23. #21434848C2semidirect
24. #21434272C2semidirect
25. #21434125C2semidirect
26. #21433345C2semidirect
27. #21433327C2semidirect
28. #21433316C2semidirect
29. C2×#16837542C2semidirect
30. #21433129C2semidirect
31. C59×#3301C2semidirect
32. C2×#41×D59C22semidirect
33. C22×Q8×D59C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745660C22semidirect
41. C22×#11745671C22semidirect
42. #16838115C22semidirect
43. #16838107C22semidirect
44. #16838105C22semidirect
46. #16838070C22semidirect
47. #16838064C22semidirect
50. #16838062C22semidirect
52. #16838061C22semidirect
54. #16838060C22semidirect
55. #16838059C22semidirect
59. #16838048C22semidirect
60. #16838047C22semidirect
63. #16838036C22semidirect
70. #124×D59C22semidirect
74. C22⋊Q8×D59C22semidirect
78. #121×D59C22semidirect
80. C4×Q8×D59C22semidirect
83. #16837790C22semidirect
84. #16837788C22semidirect
85. #16837786C22semidirect
86. #16837784C22semidirect
87. #16837763C22semidirect
88. #16837760C22semidirect
89. #16837759C22semidirect
90. #16837743C22semidirect
91. #16837739C22semidirect
92. #16837734C22semidirect
93. #16837731C22semidirect
94. #16837729C22semidirect
95. #16837725C22semidirect
97. #16837722C22semidirect
98. #16837720C22semidirect
99. #16837719C22semidirect
100. #16837706C22semidirect
101. #16837686C22semidirect
102. #16837685C22semidirect
103. #16837661C22semidirect
104. #16837659C22semidirect
105. #16837656C22semidirect
106. #16837656C22semidirect
107. #16837654C22semidirect
108. #16837654C22semidirect
109. #16837651C22semidirect
110. #16837649C22semidirect
111. #16837636C22semidirect
112. #16837633C22semidirect
113. #16837631C22semidirect
114. #16837631C22semidirect
115. #16837629C22semidirect
116. #16837629C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837623C22semidirect
121. #16837620C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837616C22semidirect
125. #16837614C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837562C22semidirect
132. #16837560C22semidirect
133. #16837559C22semidirect
134. #16837559C22semidirect
135. #16837558C22semidirect
136. #16837554C22semidirect
137. #16837554C22semidirect
138. #16837551C22semidirect
139. #16837550C22semidirect
140. #16837549C22semidirect
141. #16837548C22semidirect
142. #16837548C22semidirect
143. #16837547C22semidirect
144. #16837545C22semidirect
145. #16837544C22semidirect
148. #16837542C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837540C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
157. #16837538C22semidirect
159. #16837537C22semidirect
160. #16837535C22semidirect
161. #16837534C22semidirect
162. #16837508C22semidirect
163. #16837506C22semidirect
164. #16837505C22semidirect
165. #16837501C22semidirect
166. C4×#11745660C22semidirect
167. C4×#11745671C22semidirect
168. C4×#11745670C22semidirect
169. #16837481C22semidirect
170. #16837479C22semidirect
171. #16837473C22semidirect
172. #16837473C22semidirect
173. #16837470C22semidirect
174. #16837470C22semidirect
175. D4×C59⋊C8C22semidirect
176. #16837458C22semidirect
177. #16837453C22semidirect
178. #16837409C22semidirect
179. #16837409C22semidirect
180. #16837402C22semidirect
181. #16837400C22semidirect
182. #16837396C22semidirect
183. C2×#14273650C22semidirect
184. #16837364C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C59×#553C22semidirect
189. C59×#548C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#481C22semidirect
193. C59×#479C22semidirect
194. C59×#466C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#103×C59C22semidirect
954. #3301D59semidirect
1003. #553C2×D59semidirect
1016. #548C2×D59semidirect
1049. #488C2×D59semidirect
1051. #485C2×D59semidirect
1061. #481C2×D59semidirect
1063. #479C2×D59semidirect
1075. #466C2×D59semidirect
1081. #465C2×D59semidirect
1091. #463C2×D59semidirect
1112. #449C2×D59semidirect
1124. #448C2×D59semidirect
1137. C4×SD16C2×D59semidirect
1145. C8×D4C2×D59semidirect
1153. #416C2×D59semidirect
1155. C2×#103C2×D59semidirect
1160. C59#61594semidirect

Maximal subgroups

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

subgroupindex
#214381212
#548×D592
#214363482
#214363462
#214362802
#214362782
#214362052
#214362032
#214359922
#214358082
#214358042
#214357332
#214357292
#214356782
#214356742
#214355882
#214355842
#214350812
#214350622
#214349302
#214348952
#214348562
#214348482
#214342722
#214341252
#214333452
#214333272
#214333162
C2×#168375422
#214331292
C59×#33012
#6159459