Finite Group Databasebeta

← #29475231

Subgroups — #29475231

Order 15104.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438419C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436420C211yesmaximal, characteristic, complemented
4#21436345C211yesmaximal, characteristic, complemented
5#21436332C211yesmaximal, characteristic, complemented
6#21436310C211yesmaximal, characteristic, complemented
7#21436240C211yesmaximal, characteristic, complemented
8#21436218C211yesmaximal, characteristic, complemented
9#21436056C211yesmaximal, characteristic, complemented
10#21435728C211yesmaximal, characteristic, complemented
11#21435713C211yesmaximal, characteristic, complemented
12#21435709C211yesmaximal, characteristic, complemented
13#21435702C211yesmaximal, characteristic, complemented
14#21435684C211yesmaximal, characteristic, complemented
15#21435638C211yesmaximal, characteristic, complemented
16#21435581C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435191C211yesmaximal, characteristic, complemented
19#21435143C211yesmaximal, characteristic, complemented
20#21435001C211yesmaximal, characteristic, complemented
21#21434954C211yesmaximal, characteristic, complemented
22#21434914C211yesmaximal, characteristic, complemented
23#21434892C211yesmaximal, characteristic, complemented
24#21434380C211yesmaximal, characteristic, complemented
25#21434293C211yesmaximal, characteristic, complemented
26#21433398C211yesmaximal, characteristic, complemented
27#21433367C211yesmaximal, characteristic, complemented
28#21433347C211yesmaximal, characteristic, complemented
29#21433342C211yesmaximal, characteristic, complemented
30#21433155C211yesmaximal, characteristic, complemented
31C59×#3321C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C22×#11745689C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273752C2211yescharacteristic, complemented
39C2×#14273751C2211yescharacteristic, complemented
40C2×#14273748C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic, complemented
42#16838146—21no—
43#16838140—21no—
44#16838096C2211yescharacteristic, complemented
45#16838091C2211yescharacteristic, complemented
46#16838076—21no—
47#16838074C2211yescharacteristic, complemented
48#16838071C2211yescharacteristic
49#16838070C2211yescharacteristic, complemented
50#16838063C2211yescharacteristic, complemented
51#16838055C2211yescharacteristic, complemented
52#16838048C2211yescharacteristic, complemented
53#16838047C2211yescharacteristic, complemented
54#16838045—21no—
55#16838045—21no—
56#16838045C2211yescharacteristic, complemented
57#16838043—21no—
58#16838043C2211yescharacteristic
59D4×D236—21no—
60D4×D236C2211yescharacteristic, complemented
61#16838036—21no—
62#16838036C2211yescharacteristic, complemented
63#16838036C2211yescharacteristic, complemented
64#16838026C2211yescharacteristic, complemented
65#16838007—21no—
66#16838003C2211yescharacteristic, complemented
67#16837986—21no—
68#16837982—21no—
69#16837982C2211yescharacteristic, complemented
70#16837981C2211yescharacteristic, complemented
71#16837971C2211yescharacteristic, complemented
72#16837970—21no—
73#16837970—21no—
74#16837970C2211yescharacteristic, complemented
75#16837960—21no—
76#16837914C2211yescharacteristic, complemented
77#16837911—21no—
78#16837911C2211yescharacteristic
79#121×D59—21no—
80#121×D59C2211yescharacteristic, complemented
81#121×D59C2211yescharacteristic, complemented
82#16837884C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837784C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837750C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837658C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837651C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic
138#16837550C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic, complemented
141#16837550C2211yescharacteristic, complemented
142#16837550C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837546C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837541C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168C4×#11745669C2211yescharacteristic, complemented
169#16837480C2211yescharacteristic, complemented
170#16837479C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—21no—
208C2×#11745689—42no—
209C2×#11745689—42no—
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745689C2311yescharacteristic
215C2×#11745685—21no—
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C22×D236—21no—
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C22×D236C2311yescharacteristic
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×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236#14273758—42no—
237#14273755—42no—
238#14273754—42no—
239#14273754—42no—
240#14273752—42no—
241#14273751—42no—
242#14273748—42no—
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×D472—42no—
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745664C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273724—21no—
272#14273724—21no—
273#14273724C2311yescharacteristic
274#14273723—21no—
275#14273723—21no—
276#14273723C2311yescharacteristic
277#14273723C2311yescharacteristic
278#14273722—21no—
279#14273721—21no—
280#14273720—21no—
281#14273719—21no—
282#14273718C2311yescharacteristic
283#14273716—21no—
284#14273716—21no—
285#14273716C2311yescharacteristic
286#14273715—21no—
287#14273715C2311yescharacteristic
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712D411yescharacteristic
294#14273711—21no—
295#14273711—21no—
296#14273710—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709D411yescharacteristic
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705D411yescharacteristic
307#14273704—21no—
308#14273704D411yescharacteristic
309#14273703—21no—
310#14273703—21no—
311#14273703—21no—
312#14273703C2311yescharacteristic
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701—21no—
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700D411yescharacteristic
347#14273699—21no—
348#14273699—21no—
349#14273699—21no—
350#14273699—21no—
351#14273699D411yescharacteristic
352#14273698—21no—
353#14273698—21no—
354#14273698C2311yescharacteristic
355#14273698C2311yescharacteristic
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273697—21no—
367#14273697—21no—
368#14273697D411yescharacteristic
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695D411yescharacteristic
373Q8×Dic59C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236—21no—
377C4×D236—21no—
378C4×D236—21no—
379C4×D236—21no—
380C4×D236C2311yescharacteristic
381C4×D236C2311yescharacteristic
382C4×D236C2311yescharacteristic
383#14273689—21no—
384#14273689C2311yescharacteristic
385#14273689C2311yescharacteristic
386C4×C22⋊D59—21no—
387C4×C22⋊D59—21no—
388C4×C22⋊D59C2311yescharacteristic
389C4×C22⋊D59C2311yescharacteristic
390(C22⋊D59)⋊C4—21no—
391#14273684—21no—
392#14273684—21no—
393#14273684C2311yescharacteristic
394C4⋊C4×D59—21no—
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C4⋊C4×D59C2311yescharacteristic
398C2×(C2×D59)⋊C4—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
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#14273637C2311yescharacteristic
445C4×C59⋊C8C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#124×C59—21no—
456#124×C59—21no—
457#124×C59—21no—
458#124×C59C2311yescharacteristic
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×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472#117×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
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59C2×D411yescharacteristic
497#41×C59—22no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—21no—
501C2×Q8×C59—22no—
502C2×Q8×C59—41no—
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
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
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C22×Dic59—21no—
536C22×Dic59C2×D411yescharacteristic
537#11745689—22no—
538#11745689—22no—
539#11745689—22no—
540#11745689—22no—
541#11745689—22no—
542#11745689—41no—
543#11745689—41no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547#11745689—44no—
548#11745689—44no—
549#11745689—82no—
550#11745687—41no—
551#11745687—41no—
552D4×D59—22no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—44no—
559D4×D59—44no—
560D4×D59—82no—
561D4×D59—82no—
562D4×D59—82no—
563D4×D59—82no—
564D4×D59—82no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—44no—
570C2×D236—21no—
571C2×D236—22no—
572C2×D236—22no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—44no—
594C2×D236—44no—
595C2×D236C2×D411yescharacteristic
596C2×D236C2×D411yescharacteristic
597C2×D236C2411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×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—44no—
618C2×C4×D59C2×D411yescharacteristic
619C2×C4×D59C2×D411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×C4×D59C2411yescharacteristic
622C2×C4×D59C2411yescharacteristic
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625SD16×C59—22no—
626SD16×C59—41no—
627D8×C59—41no—
628M16×C59—41no—
629C2×C8×C59—41no—
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59C2×D411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C42×C59—21no—
654C42×C59—21no—
655C42×C59—21no—
656C42×C59C2411yescharacteristic
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662#11745672—22no—
663#11745672—41no—
664#11745671—22no—
665#11745671—22no—
666#11745671—41no—
667#11745671—41no—
668#11745670—41no—
669#11745669—22no—
670#11745669—41no—
671#11745669—41no—
672#11745669—41no—
673#11745669—41no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701C4⋊Dic59—21no—
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
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723#11745664—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728D472—22no—
729D472—22no—
730D472—41no—
731D472—41no—
732D472—41no—
733D472—41no—
734#11745660—22no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739#11745659—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—41no—
751C22×D59—41no—
752C22×D59—41no—
753C22×D59—42no—
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×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
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×C59—21no—
776Q8×C59—21no—
777Q8×C59—42no—
778Q8×C59—81no—
779Q8×C59H(5,𝔽2)12yes—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—41no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
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—42no—
800C2×C4×C59—42no—
801C2×C4×C59—81no—
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C2511yescharacteristic
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—41no—
829C2×Dic59—81no—
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835D236—24no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—21no—
845D236—41no—
846D236—41no—
847D236—42no—
848D236—42no—
849D236—42no—
850D236—42no—
851D236—42no—
852D236—42no—
853D236—42no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236—81no—
862D236—81no—
863D236H(5,𝔽2)12yes—
864C4×D59—24no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—41no—
872C4×D59—41no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—42no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59—81no—
882C4×D59—81no—
883C4×D59—81no—
884C4×D59—81no—
885Dic118—21no—
886Dic118—21no—
887Dic118—41no—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61653—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59C23×D411yescharacteristic
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—22no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—82no—
935C2×D59—84no—
936C2×D59—162no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—22no—
945C4×C59—21no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—21no—
957Dic59—21no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3542—591no—
962#3488—591no—
963#3332—591no—
964#3326—591no—
965#3325—591no—
966#3323—591no—
967#3321D5911yescharacteristic, complemented
968#3318—591no—
969#3317—591no—
970#3306—591no—
971#3275—591no—
972#3274—591no—
973#3274—591no—
974#3273—591no—
975#3271—591no—
976#3268—591no—
977#3264—591no—
978#3264—591no—
979#3224—591no—
980#3220—591no—
981#3204—591no—
982#3198—591no—
983#3194—591no—
984#3192—591no—
985#3125—591no—
986#3119—591no—
987#3012—591no—
988#3008—591no—
989#3006—591no—
990#3005—591no—
991#2978—591no—
992C2×C59—41no—
993C2×C59—41no—
994C2×C59—81no—
995C2×C59—81no—
996C2×C59#348411yescharacteristic
997C2×C59#358511yescharacteristic
998C2×C59#358511yescharacteristic
999D59—41no—
1000D59—41no—
1001D59—41no—
1002D59—42no—
1003D59—81no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C22×#41—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×AGL(1,ℤ/8)—591no—
1014C2×AGL(1,ℤ/8)—591no—
1015C2×#135—591no—
1016C22×D8—591no—
1017#562—1181no—
1018#560—1181no—
1019#555C2×D5911yescharacteristic, complemented
1020#553—591no—
1021#552—591no—
1022#551—1181no—
1023#550—591no—
1024#550—591no—
1025#550—591no—
1026#548—591no—
1027#548C2×D5911yescharacteristic, complemented
1028#547—591no—
1029#546—591no—
1030#546—591no—
1031#546—591no—
1032#546—591no—
1033#546—1181no—
1034#546—1181no—
1035#546—1181no—
1036D42—591no—
1037D42—591no—
1038D42—591no—
1039D42—1181no—
1040D42—1181no—
1041#542—591no—
1042#540—591no—
1043#540—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#537—1181no—
1048#535—591no—
1049#535—591no—
1050#535—1181no—
1051#535—1181no—
1052#534—1181no—
1053#525—591no—
1054#525—591no—
1055#525—1181no—
1056C2×#121—591no—
1057C2×#121—591no—
1058C2×#121—1181no—
1059#520—591no—
1060#496—591no—
1061#496—591no—
1062#495—591no—
1063#493—591no—
1064#490—591no—
1065#489C2×D5911yescharacteristic, complemented
1066#488—591no—
1067#486—591no—
1068#485C2×D5911yescharacteristic, complemented
1069#483—591no—
1070#483—591no—
1071#482—591no—
1072#482—591no—
1073#482C2×D5911yescharacteristic, complemented
1074#481—591no—
1075#481—591no—
1076#481—591no—
1077#481—591no—
1078#481—591no—
1079#480—591no—
1080#479—591no—
1081#478—591no—
1082#476—591no—
1083#475C2×D5911yescharacteristic, complemented
1084#470—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#469—591no—
1089#469—591no—
1090#469—591no—
1091#469—591no—
1092#469C2×D5911yescharacteristic, complemented
1093#468—591no—
1094#468—591no—
1095#468—591no—
1096#466—591no—
1097#465—591no—
1098#465—591no—
1099#465C2×D5911yescharacteristic, complemented
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463—591no—
1104#463—591no—
1105#463C2×D5911yescharacteristic, complemented
1106#460—591no—
1107#460—591no—
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452—591no—
1117#452—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—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#449C2×D5911yescharacteristic, complemented
1135#448—591no—
1136#448C2×D5911yescharacteristic, complemented
1137#447—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#440C2×D5911yescharacteristic, complemented
1152C4×SD16—591no—
1153C4×SD16—591no—
1154C4×SD16—591no—
1155C4×D8—591no—
1156#436—591no—
1157#436—591no—
1158#436—591no—
1159#436—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435C2×D5911yescharacteristic, complemented
1164#433—591no—
1165#433—591no—
1166#419C2×D5911yescharacteristic, complemented
1167#418—591no—
1168#418—591no—
1169#417—591no—
1170#417—591no—
1171#417—591no—
1172#416C2×D5911yescharacteristic, complemented
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#407—591no—
1177#407—591no—
1178C59#6165311yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181C2×#41—591no—
1182C2×#41—591no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—1181no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41—1181no—
1193C2×#41—2362no—
1194C2×#41—2362no—
1195C2×#41C22×D5911yescharacteristic
1196C22×Q8C22×D5911yescharacteristic
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—591no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C23×C4—591no—
1213C23×C4—1181no—
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218AGL(1,ℤ/8)—2362no—
1219AGL(1,ℤ/8)—2362no—
1220#135—2362no—
1221C2×Q16—591no—
1222C2×Q16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—591no—
1231C2×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×D8—591no—
1244C2×D8—2362no—
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C2×M16—591no—
1251C2×M16C22×D5911yescharacteristic
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8C22×D5911yescharacteristic
1255#127—591no—
1256#127—591no—
1257#127—591no—
1258#127—1181no—
1259#127—1181no—
1260#127—1181no—
1261#127—1181no—
1262#126—1181no—
1263#126—1181no—
1264#126—1181no—
1265#125—591no—
1266#125—1181no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—591no—
1271#124—591no—
1272#124—1181no—
1273#124—1181no—
1274#124—1181no—
1275#124C22×D5911yescharacteristic
1276#123—591no—
1277#123—591no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281#123—1181no—
1282#123—1181no—
1283#123—1181no—
1284#123—1181no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290C22⋊Q8—21no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—591no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8C22×D5911yescharacteristic
1303#121—21no—
1304#121—21no—
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—591no—
1318#121—591no—
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#121—1181no—
1348#121C22×D5911yescharacteristic
1349#121C22×D5911yescharacteristic
1350#121C22×D5911yescharacteristic
1351#120—591no—
1352#120—591no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8C22×D5911yescharacteristic
1371C4×D4—21no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
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×D4C22×D5911yescharacteristic
1389C4×D4C22×D5911yescharacteristic
1390#117—21no—
1391#117—591no—
1392#117—1181no—
1393#117—1181no—
1394#117C22×D5911yescharacteristic
1395#117C22×D5911yescharacteristic
1396C2×C4⋊C4—591no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4—1181no—
1400C2×C22⋊C4—1181no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C22⋊C4—1181no—
1405C2×C22⋊C4—1181no—
1406#107—591no—
1407#107C22×D5911yescharacteristic
1408#106—591no—
1409#106—591no—
1410#106—591no—
1411#106—591no—
1412#106C22×D5911yescharacteristic
1413#106C22×D5911yescharacteristic
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103C22×D5911yescharacteristic
1423#103C22×D5911yescharacteristic
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#103C22×D5911yescharacteristic
1427#103C22×D5911yescharacteristic
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
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#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97C22×D5911yescharacteristic
1464C4×C8—591no—
1465C4×C8—591no—
1466C24—591no—
1467C24—1181no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—22no—
1474#41—41no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—4722no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2364no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2361no—
1492#41—2361no—
1493#41—2364no—
1494#41—2364no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8—591no—
1500C2×Q8—591no—
1501C2×Q8C23×D5911yescharacteristic
1502C2×Q8C23×D5911yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—1182no—
1519C2×D4—1182no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1182no—
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—4722no—
1553C2×D4—4722no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—2361no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2361no—
1561C2×D4—2364no—
1562C2×D4—2364no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2364no—
1569C2×D4—2364no—
1570C2×D4D4×D5911yescharacteristic
1571C2×D4C23×D5911yescharacteristic
1572C2×D4C23×D5911yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—591no—
1581C22×C4—591no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—1181no—
1585C22×C4—1181no—
1586C22×C4—1181no—
1587C22×C4—1181no—
1588C22×C4—1181no—
1589C22×C4—1181no—
1590C22×C4—1181no—
1591C22×C4—1181no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—2361no—
1597C22×C4—2361no—
1598C22×C4—2364no—
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—1182no—
1602Q16—2361no—
1603SD16—22no—
1604SD16—41no—
1605SD16—1182no—
1606SD16—1182no—
1607SD16—1182no—
1608SD16—2361no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613D8—41no—
1614D8—1182no—
1615D8—1182no—
1616D8—1182no—
1617D8—2361no—
1618D8—2361no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629M16—2361no—
1630M16—2361no—
1631C2×C8—41no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—591no—
1635C2×C8—591no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—591no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—591no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4D4×D5911yescharacteristic
1663C4⋊C4C23×D5911yescharacteristic
1664C4⋊C4C23×D5911yescharacteristic
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—591no—
1680C22⋊C4—591no—
1681C22⋊C4—591no—
1682C22⋊C4—591no—
1683C22⋊C4—591no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1709C22⋊C4D4×D5911yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—591no—
1714C42—1181no—
1715C42—1181no—
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—591no—
1720C23—591no—
1721C23—591no—
1722C23—1181no—
1723C23—1181no—
1724C23—1181no—
1725C23—1181no—
1726C23—1181no—
1727C23—4721no—
1728C23—4721no—
1729C23—4721no—
1730C23—4721no—
1731C23—4721no—
1732C23—4721no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—2361no—
1740C23—2361no—
1741C23—2361no—
1742C23—2362no—
1743C23—2362no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—81no—
1755Q8—1181no—
1756Q8—1181no—
1757Q8—2361no—
1758Q8#1427377312yes—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—41no—
1764D4—42no—
1765D4—42no—
1766D4—81no—
1767D4—81no—
1768D4—592no—
1769D4—1184no—
1770D4—1181no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—1181no—
1776D4—1181no—
1777D4—1181no—
1778D4—1181no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—2361no—
1800D4—2361no—
1801D4—2362no—
1802D4—2362no—
1803D4—2362no—
1804D4—2362no—
1805D4—2362no—
1806D4—2362no—
1807D4—2362no—
1808D4—2361no—
1809D4—2361no—
1810D4—2361no—
1811D4—2361no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—81no—
1828C2×C4—591no—
1829C2×C4—591no—
1830C2×C4—591no—
1831C2×C4—591no—
1832C2×C4—591no—
1833C2×C4—1184no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—4721no—
1844C2×C4—4721no—
1845C2×C4—4721no—
1846C2×C4—4721no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—2361no—
1852C2×C4—2361no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4—2361no—
1859C2×C4C2×D4×D5911yescharacteristic
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—1182no—
1885C22—1181no—
1886C22—1181no—
1887C22—1181no—
1888C22—1181no—
1889C22—1181no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—9442no—
1895C22—9442no—
1896C22—9442no—
1897C22—9442no—
1898C22—9442no—
1899C22—4724no—
1900C22—4722no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22—2361no—
1905C22—2361no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—22no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—1181no—
1927C4—1181no—
1928C4—1181no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4C2×#1427377311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—4721no—
1941C2—4721no—
1942C2—4721no—
1943C2—4721no—
1944C2—2361no—
1945C2—2361no—
1946C2—2361no—
1947C2—2362no—
1948C2#2143772611yescharacteristic
1949C2#2143887311yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3321C2
socleC22×C59C23×D4
hypercenter#3321D59
hypocenterC59#61653
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21438419C2semidirect
2. #21437762C2semidirect
3. #21436420C2semidirect
4. #21436345C2semidirect
5. #21436332C2semidirect
6. #21436310C2semidirect
7. #21436240C2semidirect
8. #21436218C2semidirect
9. #21436056C2semidirect
10. #21435728C2semidirect
11. #21435713C2semidirect
12. #21435709C2semidirect
13. #21435702C2semidirect
14. #21435684C2semidirect
15. #21435638C2semidirect
16. #21435581C2semidirect
17. #21435573C2semidirect
18. #21435191C2semidirect
19. #21435143C2semidirect
20. #21435001C2semidirect
21. #21434954C2semidirect
22. #21434914C2semidirect
23. #21434892C2semidirect
24. #21434380C2semidirect
25. #21434293C2semidirect
26. #21433398C2semidirect
27. #21433367C2semidirect
28. #21433347C2semidirect
29. #21433342C2semidirect
30. #21433155C2semidirect
31. C59×#3321C2semidirect
32. C2×#14273773C22semidirect
33. C22×#11745689C22semidirect
34. C2×#14273758C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273752C22semidirect
39. C2×#14273751C22semidirect
40. C2×#14273748C22semidirect
41. C22×D472C22semidirect
44. #16838096C22semidirect
45. #16838091C22semidirect
47. #16838074C22semidirect
49. #16838070C22semidirect
50. #16838063C22semidirect
51. #16838055C22semidirect
52. #16838048C22semidirect
53. #16838047C22semidirect
56. #16838045C22semidirect
60. D4×D236C22semidirect
62. #16838036C22semidirect
63. #16838036C22semidirect
64. #16838026C22semidirect
66. #16838003C22semidirect
69. #16837982C22semidirect
70. #16837981C22semidirect
71. #16837971C22semidirect
74. #16837970C22semidirect
76. #16837914C22semidirect
80. #121×D59C22semidirect
81. #121×D59C22semidirect
82. #16837884C22semidirect
83. #16837791C22semidirect
84. #16837788C22semidirect
85. #16837784C22semidirect
86. #16837777C22semidirect
87. #16837765C22semidirect
88. #16837758C22semidirect
89. #16837750C22semidirect
90. #16837734C22semidirect
91. #16837731C22semidirect
92. #16837726C22semidirect
93. #16837726C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837707C22semidirect
101. #16837705C22semidirect
102. #16837689C22semidirect
103. #16837658C22semidirect
104. #16837656C22semidirect
105. #16837656C22semidirect
106. #16837655C22semidirect
107. #16837654C22semidirect
108. #16837653C22semidirect
109. #16837653C22semidirect
110. #16837653C22semidirect
111. #16837651C22semidirect
112. #16837649C22semidirect
113. #16837647C22semidirect
114. #16837639C22semidirect
115. #16837634C22semidirect
116. #16837631C22semidirect
117. #16837627C22semidirect
118. #16837624C22semidirect
119. #16837620C22semidirect
120. #16837618C22semidirect
121. #16837614C22semidirect
122. #16837601C22semidirect
123. #16837600C22semidirect
124. #16837598C22semidirect
125. #16837597C22semidirect
126. #16837596C22semidirect
127. #16837596C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837564C22semidirect
133. #16837561C22semidirect
134. #16837555C22semidirect
135. #16837554C22semidirect
136. #16837552C22semidirect
138. #16837550C22semidirect
139. #16837550C22semidirect
140. #16837550C22semidirect
141. #16837550C22semidirect
142. #16837550C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
145. #16837549C22semidirect
146. #16837548C22semidirect
147. #16837546C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837541C22semidirect
151. #16837538C22semidirect
152. #16837538C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837506C22semidirect
165. C4×#11745671C22semidirect
166. #16837489C22semidirect
167. #16837487C22semidirect
168. C4×#11745669C22semidirect
169. #16837480C22semidirect
170. #16837479C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837473C22semidirect
176. #16837464C22semidirect
177. #16837462C22semidirect
178. #16837406C22semidirect
179. #16837406C22semidirect
180. #16837402C22semidirect
181. #16837402C22semidirect
182. #16837402C22semidirect
183. #102×D59C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. #16837364C22semidirect
188. C59×#555C22semidirect
189. C59×#548C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#475C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C59×#416C22semidirect
967. #3321D59semidirect
1019. #555C2×D59semidirect
1027. #548C2×D59semidirect
1065. #489C2×D59semidirect
1068. #485C2×D59semidirect
1073. #482C2×D59semidirect
1083. #475C2×D59semidirect
1092. #469C2×D59semidirect
1099. #465C2×D59semidirect
1105. #463C2×D59semidirect
1134. #449C2×D59semidirect
1136. #448C2×D59semidirect
1151. #440C2×D59semidirect
1163. #435C2×D59semidirect
1166. #419C2×D59semidirect
1172. #416C2×D59semidirect
1178. C59#61653semidirect

Maximal subgroups

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

subgroupindex
#214384192
#214377622
#214364202
#214363452
#214363322
#214363102
#214362402
#214362182
#214360562
#214357282
#214357132
#214357092
#214357022
#214356842
#214356382
#214355812
#214355732
#214351912
#214351432
#214350012
#214349542
#214349142
#214348922
#214343802
#214342932
#214333982
#214333672
#214333472
#214333422
#214331552
C59×#33212
#6165359