Finite Group Databasebeta

← #29475254

Subgroups — #29475254

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438392C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436430C211yesmaximal, characteristic, complemented
4#21436325C211yesmaximal, characteristic, complemented
5#21436296C211yesmaximal, characteristic, complemented
6#21436175C211yesmaximal, characteristic, complemented
7#21436163C211yesmaximal, characteristic, complemented
8#21436111C211yesmaximal, characteristic, complemented
9#21436099C211yesmaximal, characteristic, complemented
10#21435763C211yesmaximal, characteristic, complemented
11#21435753C211yesmaximal, characteristic, complemented
12#21435724C211yesmaximal, characteristic, complemented
13#21435698C211yesmaximal, characteristic, complemented
14#21435685C211yesmaximal, characteristic, complemented
15#21435652C211yesmaximal, characteristic, complemented
16#21435601C211yesmaximal, characteristic, complemented
17#21435598C211yesmaximal, characteristic, complemented
18#21435197C211yesmaximal, characteristic, complemented
19#21435171C211yesmaximal, characteristic, complemented
20#21435000C211yesmaximal, characteristic, complemented
21#21434979C211yesmaximal, characteristic, complemented
22#21434914C211yesmaximal, characteristic, complemented
23#21434897C211yesmaximal, characteristic, complemented
24#21434364C211yesmaximal, characteristic, complemented
25#21434317C211yesmaximal, characteristic, complemented
26#21433402C211yesmaximal, characteristic, complemented
27#21433370C211yesmaximal, characteristic, complemented
28#21433355C211yesmaximal, characteristic, complemented
29#21433342C211yesmaximal, characteristic, complemented
30#21433153C211yesmaximal, characteristic, complemented
31C59×#3327C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273759C2211yescharacteristic, complemented
37C2×#14273758C2211yescharacteristic, complemented
38C2×#14273755C2211yescharacteristic, complemented
39C2×#14273755C2211yescharacteristic, complemented
40C2×#14273747C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838154—21no—
43#16838149—21no—
44#16838120C2211yescharacteristic, complemented
45#16838108—21no—
46#16838107C2211yescharacteristic, complemented
47#16838105C2211yescharacteristic, complemented
48#16838096—21no—
49#16838074C2211yescharacteristic
50#16838071C2211yescharacteristic
51Q8×D236C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic
53#16838062C2211yescharacteristic, complemented
54#16838062C2211yescharacteristic, complemented
55#16838057C2211yescharacteristic, complemented
56#16838045—21no—
57#16838045C2211yescharacteristic
58#16838043—21no—
59#16838043C2211yescharacteristic
60D4×D236—21no—
61D4×D236C2211yescharacteristic
62#16838036—21no—
63#16838036C2211yescharacteristic
64#16838024C2211yescharacteristic, complemented
65#16838023—21no—
66#16838015C2211yescharacteristic, complemented
67#16838000—21no—
68#16837991—21no—
69#16837988—21no—
70#16837983C2211yescharacteristic, complemented
71#16837982—21no—
72#16837982C2211yescharacteristic
73#16837975C2211yescharacteristic, complemented
74#16837970—21no—
75#16837970C2211yescharacteristic
76#16837914C2211yescharacteristic, complemented
77#16837911—21no—
78#16837911C2211yescharacteristic
79C22⋊Q8×D59C2211yescharacteristic, complemented
80#121×D59—21no—
81#121×D59C2211yescharacteristic
82#16837884C2211yescharacteristic
83#16837797C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837775C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837639C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837612C2211yescharacteristic, complemented
123#16837608C2211yescharacteristic, complemented
124#16837602C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837598C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic
129#16837567C2211yescharacteristic
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837567C2211yescharacteristic, complemented
133#16837567C2211yescharacteristic, complemented
134#16837567C2211yescharacteristic, complemented
135#16837564C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic
137#16837563C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837558C2211yescharacteristic, complemented
140#16837556C2211yescharacteristic, complemented
141#16837555C2211yescharacteristic, complemented
142#16837555C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837552C2211yescharacteristic, complemented
147#16837552C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic
150#16837550C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic, complemented
153#16837550C2211yescharacteristic, complemented
154#16837549C2211yescharacteristic, complemented
155#16837549C2211yescharacteristic, complemented
156#16837545C2211yescharacteristic, complemented
157#16837542C2211yescharacteristic, complemented
158#16837542C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837537C2211yescharacteristic, complemented
162#16837506C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168C4×D472C2211yescharacteristic, complemented
169#16837481C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837462C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C4×Q16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—42no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236—21no—
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×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273759—42no—
234#14273759—42no—
235#14273759—42no—
236#14273758—42no—
237#14273755—42no—
238#14273755—42no—
239#14273747—42no—
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257SD16×D59—42no—
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745664C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268#14273727—21no—
269#14273727C2311yescharacteristic
270#14273726—21no—
271#14273726C2311yescharacteristic
272#14273724—21no—
273#14273724C2311yescharacteristic
274#14273723—21no—
275#14273723C2311yescharacteristic
276#14273722—21no—
277#14273722—21no—
278#14273722—21no—
279#14273721—21no—
280#14273721—21no—
281#14273720—21no—
282#14273718—21no—
283#14273718—21no—
284#14273717—21no—
285#14273716—21no—
286#14273716C2311yescharacteristic
287#14273716C2311yescharacteristic
288#14273715—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712D411yescharacteristic
298#14273711—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709D411yescharacteristic
304#14273707—21no—
305#14273707—21no—
306#14273707—21no—
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273706—21no—
312#14273706C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273705—21no—
315#14273705—21no—
316#14273705—21no—
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273705D411yescharacteristic
321#14273704—21no—
322#14273704D411yescharacteristic
323#14273703—21no—
324#14273703C2311yescharacteristic
325#14273703C2311yescharacteristic
326#14273702—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702—21no—
331#14273702—21no—
332#14273702—21no—
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273702C2311yescharacteristic
336#14273702C2311yescharacteristic
337#14273702C2311yescharacteristic
338#14273701—21no—
339#14273701—21no—
340#14273701—21no—
341#14273701—21no—
342#14273701C2311yescharacteristic
343#14273701C2311yescharacteristic
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700—21no—
352#14273700—21no—
353#14273700D411yescharacteristic
354#14273699—21no—
355#14273699D411yescharacteristic
356#14273698—21no—
357#14273698—21no—
358#14273698C2311yescharacteristic
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#14273697D411yescharacteristic
368#14273695—21no—
369#14273695D411yescharacteristic
370Q8×Dic59C2311yescharacteristic
371C4×Dic118—21no—
372#14273692C2311yescharacteristic
373#14273692C2311yescharacteristic
374C4×D236—21no—
375C4×D236—21no—
376C4×D236—21no—
377C4×D236—21no—
378C4×D236—21no—
379C4×D236C2311yescharacteristic
380C4×D236C2311yescharacteristic
381C4×D236C2311yescharacteristic
382#14273689—21no—
383#14273689—21no—
384#14273689—21no—
385#14273689—21no—
386#14273689C2311yescharacteristic
387C4×C22⋊D59—21no—
388C4×C22⋊D59—21no—
389C4×C22⋊D59—21no—
390C4×C22⋊D59C2311yescharacteristic
391C4×C22⋊D59C2311yescharacteristic
392#14273685C2311yescharacteristic
393#14273684—21no—
394#14273684C2311yescharacteristic
395C4⋊C4×D59—21no—
396C4⋊C4×D59—21no—
397C4⋊C4×D59—21no—
398C4⋊C4×D59C2311yescharacteristic
399C4⋊C4×D59C2311yescharacteristic
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273660C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59—21no—
456#125×C59C2311yescharacteristic
457#124×C59—21no—
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×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×D59—21no—
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×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—22no—
530#11745689—22no—
531#11745689—41no—
532#11745689—41no—
533#11745689—41no—
534#11745689—41no—
535#11745689—41no—
536#11745689—44no—
537#11745689—44no—
538Q8×D59—41no—
539Q8×D59—41no—
540Q8×D59—41no—
541Q8×D59—41no—
542D4×D59—22no—
543D4×D59—41no—
544D4×D59—41no—
545D4×D59—41no—
546D4×D59—44no—
547D4×D59—44no—
548D4×D59—82no—
549D4×D59—82no—
550D4×D59—82no—
551#11745685—41no—
552#11745685—41no—
553#11745685—41no—
554#11745685—41no—
555#11745685—41no—
556#11745685—41no—
557#11745685—44no—
558C2×D236—21no—
559C2×D236—22no—
560C2×D236—22no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
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—44no—
577C2×D236—44no—
578C2×D236C2×D411yescharacteristic
579C2×D236C2×D411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
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—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—44no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—21no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118C2×D411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—22no—
613Q16×C59—41no—
614SD16×C59—41no—
615M16×C59—41no—
616M16×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59C2×D411yescharacteristic
642C22⋊C4×C59C2×D411yescharacteristic
643C42×C59—21no—
644C42×C59—21no—
645C42×C59—21no—
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59C2×D411yescharacteristic
651C22⋊Dic59C2×D411yescharacteristic
652#11745672—22no—
653#11745672—22no—
654#11745672—41no—
655#11745672—41no—
656#11745671—22no—
657#11745671—22no—
658#11745671—41no—
659#11745671—41no—
660#11745671—41no—
661#11745670—41no—
662#11745670—41no—
663#11745669—41no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59C2×D411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59C2411yescharacteristic
719#11745664—41no—
720C2×C59⋊C8—41no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725D472—22no—
726D472—41no—
727D472—41no—
728#11745660—22no—
729#11745660—22no—
730#11745660—41no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—41no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—42no—
769Q8×C59H(5,𝔽2)12yes—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—41no—
773D4×C59—42no—
774D4×C59—42no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
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—42no—
787C2×C4×C59—42no—
788C2×C4×C59—81no—
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C2511yescharacteristic
794C22⋊D59—41no—
795C22⋊D59—41no—
796C22⋊D59—41no—
797C22⋊D59—41no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—81no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—41no—
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817D236—24no—
818D236—21no—
819D236—21no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—41no—
826D236—41no—
827D236—42no—
828D236—42no—
829D236—42no—
830D236—42no—
831D236—42no—
832D236—42no—
833D236—42no—
834D236—81no—
835D236—81no—
836D236—81no—
837D236—81no—
838D236—81no—
839D236—81no—
840D236H(5,𝔽2)12yes—
841C4×D59—24no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—41no—
849C4×D59—41no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858C4×D59—81no—
859C4×D59—81no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—41no—
868Dic118—81no—
869Dic118—81no—
870Dic118—81no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61654—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59C23×D411yescharacteristic
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—22no—
899C2×D59—21no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—82no—
912C2×D59—84no—
913C2×D59—162no—
914C2×D59—162no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—22no—
920C4×C59—21no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928C4×C59C2×H(5,𝔽2)11yescharacteristic
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—21no—
933Dic59—21no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3541—591no—
939#3488—591no—
940#3333—591no—
941#3327D5911yescharacteristic, complemented
942#3324—591no—
943#3322—591no—
944#3314—591no—
945#3313—591no—
946#3310—591no—
947#3309—591no—
948#3278—591no—
949#3277—591no—
950#3275—591no—
951#3272—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3265—591no—
956#3224—591no—
957#3222—591no—
958#3203—591no—
959#3201—591no—
960#3194—591no—
961#3193—591no—
962#3124—591no—
963#3120—591no—
964#3012—591no—
965#3009—591no—
966#3007—591no—
967#3005—591no—
968#2978—591no—
969C2×C59—41no—
970C2×C59—41no—
971C2×C59—81no—
972C2×C59#348411yescharacteristic
973C2×C59#358511yescharacteristic
974C2×C59#358611yescharacteristic
975D59—41no—
976D59—41no—
977D59—41no—
978D59—42no—
979D59—81no—
980D59—81no—
981D59—81no—
982C2×H(5,𝔽2)—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×#137—591no—
988C2×AGL(1,ℤ/8)—591no—
989C2×AGL(1,ℤ/8)—591no—
990C2×#135—591no—
991C22×SD16—591no—
992#563—1181no—
993#562—1181no—
994#556—591no—
995#554—591no—
996#554—1181no—
997#553—591no—
998#553—1181no—
999#552C2×D5911yescharacteristic, complemented
1000#550—591no—
1001#550—591no—
1002D4×Q8—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#548C2×D5911yescharacteristic
1007#547—591no—
1008#546—591no—
1009#546—591no—
1010#546—1181no—
1011#546—1181no—
1012D42—591no—
1013D42—591no—
1014D42—1181no—
1015D42—1181no—
1016#542—591no—
1017#542—1181no—
1018#541—591no—
1019#539—1181no—
1020#538—1181no—
1021#538—1181no—
1022#537—591no—
1023#537—591no—
1024#537—1181no—
1025#536—591no—
1026#535—591no—
1027#535—1181no—
1028#525—591no—
1029#525—591no—
1030#525—1181no—
1031C2×C22⋊Q8—591no—
1032C2×#121—591no—
1033C2×#121—1181no—
1034#520—591no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#492—591no—
1039#490—591no—
1040#489—591no—
1041#488C2×D5911yescharacteristic, complemented
1042#486—591no—
1043#485—591no—
1044#484—591no—
1045#484—591no—
1046#484C2×D5911yescharacteristic, complemented
1047#483—591no—
1048#482—591no—
1049#482—591no—
1050#482C2×D5911yescharacteristic, complemented
1051#480—591no—
1052#480—591no—
1053#480—591no—
1054#480—591no—
1055#479C2×D5911yescharacteristic, complemented
1056#478—591no—
1057#477—591no—
1058#474—591no—
1059#470C2×D5911yescharacteristic, complemented
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#468C2×D5911yescharacteristic, complemented
1071#467—591no—
1072#467—591no—
1073#466—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464C2×D5911yescharacteristic, complemented
1079#463—591no—
1080#463—591no—
1081#462—591no—
1082#461—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452C2×D5911yescharacteristic, complemented
1099#451—591no—
1100#451—591no—
1101#451C2×D5911yescharacteristic, complemented
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#441—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×Q16C2×D5911yescharacteristic, complemented
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#436—591no—
1134#436C2×D5911yescharacteristic, complemented
1135#435—591no—
1136#435—591no—
1137#435—591no—
1138#435—591no—
1139#433—591no—
1140#433—591no—
1141#419C2×D5911yescharacteristic, complemented
1142#418—591no—
1143#418—591no—
1144#417—591no—
1145#417—591no—
1146#417C2×D5911yescharacteristic, complemented
1147#416—591no—
1148C2×#102—591no—
1149#408—591no—
1150#408—591no—
1151#407—591no—
1152#407—591no—
1153C59#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2362no—
1155H(5,𝔽2)—2362no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—1181no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8—591no—
1172C22×Q8C22×D5911yescharacteristic
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C22×D4—1181no—
1183C22×D4—1181no—
1184C23×C4—591no—
1185C23×C4—1181no—
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189#137—2362no—
1190AGL(1,ℤ/8)—2362no—
1191AGL(1,ℤ/8)—2362no—
1192#135—2362no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16C22×D5911yescharacteristic
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—2362no—
1213C2×SD16C22×D5911yescharacteristic
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16C22×D5911yescharacteristic
1223C2×M16C22×D5911yescharacteristic
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—591no—
1227C4⋊Q8—591no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230#127—591no—
1231#127—591no—
1232#127—1181no—
1233#127—1181no—
1234#126—21no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—21no—
1242#125—1181no—
1243#125—1181no—
1244#125—1181no—
1245#125C22×D5911yescharacteristic
1246#124—21no—
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#124C22×D5911yescharacteristic
1256#123—21no—
1257#123—591no—
1258#123—591no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268C22⋊Q8—21no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
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⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—21no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
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#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121C22×D5911yescharacteristic
1329#120—591no—
1330#120—591no—
1331#120—1181no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340C4×Q8—591no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×Q8—1181no—
1344C4×Q8C22×D5911yescharacteristic
1345C4×Q8C22×D5911yescharacteristic
1346C4×D4—21no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—591no—
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×D4—1181no—
1365C4×D4C22×D5911yescharacteristic
1366#117—21no—
1367#117—591no—
1368#117—591no—
1369#117—1181no—
1370#117C22×D5911yescharacteristic
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—1181no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4—1181no—
1376C2×C4⋊C4C22×D5911yescharacteristic
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#107C22×D5911yescharacteristic
1386#107C22×D5911yescharacteristic
1387#106—591no—
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103C22×D5911yescharacteristic
1401#103C22×D5911yescharacteristic
1402#103C22×D5911yescharacteristic
1403#103C22×D5911yescharacteristic
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8C22×D5911yescharacteristic
1441C24—591no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—41no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2364no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2364no—
1466#41—2364no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—1182no—
1496C2×D4—1182no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1182no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—4722no—
1522C2×D4—4722no—
1523C2×D4—4722no—
1524C2×D4—2361no—
1525C2×D4—2361no—
1526C2×D4—2364no—
1527C2×D4—2364no—
1528C2×D4—2361no—
1529C2×D4—2361no—
1530C2×D4—2361no—
1531C2×D4—2364no—
1532C2×D4—2364no—
1533C2×D4D4×D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—2361no—
1559C22×C4—2361no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—22no—
1564Q16—41no—
1565Q16—1182no—
1566Q16—1182no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—41no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—1182no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581SD16—2361no—
1582SD16—2361no—
1583D8—1182no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—41no—
1589M16—2361no—
1590M16—2361no—
1591M16—2361no—
1592M16—2361no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—591no—
1616C4⋊C4—591no—
1617C4⋊C4—591no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4D4×D5911yescharacteristic
1635C4⋊C4C23×D5911yescharacteristic
1636C4⋊C4C23×D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4D4×D5911yescharacteristic
1679C22⋊C4D4×D5911yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—591no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—591no—
1691C23—591no—
1692C23—591no—
1693C23—1181no—
1694C23—1181no—
1695C23—1181no—
1696C23—1181no—
1697C23—4721no—
1698C23—4721no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—2361no—
1705C23—2361no—
1706C23—2361no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—42no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—4721no—
1725Q8—4721no—
1726Q8—4721no—
1727Q8—2361no—
1728Q8#1427377312yes—
1729D4—21no—
1730D4—21no—
1731D4—41no—
1732D4—42no—
1733D4—42no—
1734D4—592no—
1735D4—1184no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—1181no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—2361no—
1756D4—2361no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2361no—
1765D4—2361no—
1766D4—2361no—
1767D4—2361no—
1768D4—2362no—
1769D4—2362no—
1770D4—2362no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—1184no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—4721no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—4721no—
1809C2×C4—4721no—
1810C2×C4—2361no—
1811C2×C4—2361no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2362no—
1816C2×C4—2361no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—1181no—
1840C22—1181no—
1841C22—1182no—
1842C22—1181no—
1843C22—1181no—
1844C22—1181no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—9442no—
1850C22—9442no—
1851C22—9442no—
1852C22—4724no—
1853C22—4722no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—1181no—
1878C4—1181no—
1879C4—1181no—
1880C4—1181no—
1881C4—1181no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—4721no—
1892C2—4721no—
1893C2—4721no—
1894C2—2361no—
1895C2—2361no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772611yescharacteristic
1899C2#2143887311yescharacteristic
1900C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3327C2
socleC22×C59C23×D4
hypercenter#3327D59
hypocenterC59#61654
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #21438392C2semidirect
2. #21437762C2semidirect
3. #21436430C2semidirect
4. #21436325C2semidirect
5. #21436296C2semidirect
6. #21436175C2semidirect
7. #21436163C2semidirect
8. #21436111C2semidirect
9. #21436099C2semidirect
10. #21435763C2semidirect
11. #21435753C2semidirect
12. #21435724C2semidirect
13. #21435698C2semidirect
14. #21435685C2semidirect
15. #21435652C2semidirect
16. #21435601C2semidirect
17. #21435598C2semidirect
18. #21435197C2semidirect
19. #21435171C2semidirect
20. #21435000C2semidirect
21. #21434979C2semidirect
22. #21434914C2semidirect
23. #21434897C2semidirect
24. #21434364C2semidirect
25. #21434317C2semidirect
26. #21433402C2semidirect
27. #21433370C2semidirect
28. #21433355C2semidirect
29. #21433342C2semidirect
30. #21433153C2semidirect
31. C59×#3327C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273759C22semidirect
37. C2×#14273758C22semidirect
38. C2×#14273755C22semidirect
39. C2×#14273755C22semidirect
40. C2×#14273747C22semidirect
41. C2×SD16×D59C22semidirect
44. #16838120C22semidirect
46. #16838107C22semidirect
47. #16838105C22semidirect
51. Q8×D236C22semidirect
53. #16838062C22semidirect
54. #16838062C22semidirect
55. #16838057C22semidirect
64. #16838024C22semidirect
66. #16838015C22semidirect
70. #16837983C22semidirect
73. #16837975C22semidirect
76. #16837914C22semidirect
79. C22⋊Q8×D59C22semidirect
83. #16837797C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837775C22semidirect
87. #16837768C22semidirect
88. #16837763C22semidirect
89. #16837747C22semidirect
90. #16837742C22semidirect
91. #16837739C22semidirect
92. #16837736C22semidirect
93. #16837734C22semidirect
94. #16837728C22semidirect
95. #16837726C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837715C22semidirect
99. #16837714C22semidirect
100. #16837699C22semidirect
101. #16837695C22semidirect
102. #16837681C22semidirect
103. #16837656C22semidirect
104. #16837654C22semidirect
105. #16837651C22semidirect
106. #16837650C22semidirect
107. #16837649C22semidirect
108. #16837649C22semidirect
109. #16837648C22semidirect
110. #16837648C22semidirect
111. #16837647C22semidirect
112. #16837646C22semidirect
113. #16837642C22semidirect
114. #16837641C22semidirect
115. #16837639C22semidirect
116. #16837633C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837626C22semidirect
120. #16837620C22semidirect
121. #16837614C22semidirect
122. #16837612C22semidirect
123. #16837608C22semidirect
124. #16837602C22semidirect
125. #16837601C22semidirect
126. #16837601C22semidirect
127. #16837598C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837567C22semidirect
133. #16837567C22semidirect
134. #16837567C22semidirect
135. #16837564C22semidirect
137. #16837563C22semidirect
138. #16837562C22semidirect
139. #16837558C22semidirect
140. #16837556C22semidirect
141. #16837555C22semidirect
142. #16837555C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837554C22semidirect
146. #16837552C22semidirect
147. #16837552C22semidirect
148. #16837551C22semidirect
150. #16837550C22semidirect
151. #16837550C22semidirect
152. #16837550C22semidirect
153. #16837550C22semidirect
154. #16837549C22semidirect
155. #16837549C22semidirect
156. #16837545C22semidirect
157. #16837542C22semidirect
158. #16837542C22semidirect
159. #16837539C22semidirect
160. #16837537C22semidirect
161. #16837537C22semidirect
162. #16837506C22semidirect
163. #16837501C22semidirect
164. #16837500C22semidirect
165. #16837500C22semidirect
166. #16837494C22semidirect
167. #16837489C22semidirect
168. C4×D472C22semidirect
169. #16837481C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837462C22semidirect
177. #16837461C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837402C22semidirect
181. #16837402C22semidirect
182. #16837397C22semidirect
183. C2×#14273647C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. #16837364C22semidirect
188. C59×#552C22semidirect
190. C59×#488C22semidirect
191. C59×#484C22semidirect
192. C59×#482C22semidirect
193. C59×#479C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C4×Q16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#419C22semidirect
202. C59×#417C22semidirect
941. #3327D59semidirect
999. #552C2×D59semidirect
1041. #488C2×D59semidirect
1046. #484C2×D59semidirect
1050. #482C2×D59semidirect
1055. #479C2×D59semidirect
1059. #470C2×D59semidirect
1070. #468C2×D59semidirect
1078. #464C2×D59semidirect
1098. #452C2×D59semidirect
1101. #451C2×D59semidirect
1128. C4×Q16C2×D59semidirect
1134. #436C2×D59semidirect
1141. #419C2×D59semidirect
1146. #417C2×D59semidirect
1153. C59#61654semidirect

Maximal subgroups

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

subgroupindex
#214383922
#214377622
#214364302
#214363252
#214362962
#214361752
#214361632
#214361112
#214360992
#214357632
#214357532
#214357242
#214356982
#214356852
#214356522
#214356012
#214355982
#214351972
#214351712
#214350002
#214349792
#214349142
#214348972
#214343642
#214343172
#214334022
#214333702
#214333552
#214333422
#214331532
C59×#33272
#6165459