Finite Group Databasebeta

← #29484188

Subgroups — #29484188

Order 15104.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438611C211yesmaximal, characteristic, complemented
2#21438096C211yesmaximal, characteristic, complemented
3#21437139C211yesmaximal, characteristic, complemented
4#21437136C211yesmaximal, characteristic, complemented
5#21436865C211yesmaximal, characteristic, complemented
6#21436860C211yesmaximal, characteristic, complemented
7#21436354C211yesmaximal, characteristic, complemented
8#21436352C211yesmaximal, characteristic, complemented
9#21436242C211yesmaximal, characteristic, complemented
10#21436235C211yesmaximal, characteristic, complemented
11#21436060C211yesmaximal, characteristic, complemented
12#21436055C211yesmaximal, characteristic, complemented
13#21435717C211yesmaximal, characteristic, complemented
14#21435709C211yesmaximal, characteristic, complemented
15#21435685C211yesmaximal, characteristic, complemented
16#21435683C211yesmaximal, characteristic, complemented
17#21435639C211yesmaximal, characteristic, complemented
18#21435629C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435506C211yesmaximal, characteristic, complemented
21#21435476C211yesmaximal, characteristic, complemented
22#21435148C211yesmaximal, characteristic, complemented
23#21435143C211yesmaximal, characteristic, complemented
24#21435081C211yesmaximal, characteristic, complemented
25#21434380C211yesmaximal, characteristic, complemented
26#21434250C211yesmaximal, characteristic, complemented
27#21433638C211yesmaximal, characteristic, complemented
28#21433635C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3125C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38#16838148—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic
41#16838135C2211yescharacteristic
42#16838128C2211yescharacteristic, complemented
43#16838102—21no—
44#16838102C2211yescharacteristic, complemented
45#16838100—21no—
46#16838100C2211yescharacteristic, complemented
47#16838074C2211yescharacteristic, complemented
48#16838073—21no—
49#16838073C2211yescharacteristic, complemented
50#16838071C2211yescharacteristic, complemented
51#16838071C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic
53#16838062C2211yescharacteristic
54#16838053—21no—
55#16838053C2211yescharacteristic, complemented
56#16838049C2211yescharacteristic
57#16838045—21no—
58#16838043—21no—
59#16838043C2211yescharacteristic
60D4×D236C2211yescharacteristic
61#16838036C2211yescharacteristic
62#16838026C2211yescharacteristic
63#16838007—21no—
64#16838007C2211yescharacteristic, complemented
65#16838003—21no—
66#16838003C2211yescharacteristic, complemented
67#16837991—21no—
68#16837991—21no—
69#16837988—21no—
70#16837971C2211yescharacteristic
71#16837970C2211yescharacteristic
72#16837963—21no—
73#16837953C2211yescharacteristic
74#16837949—21no—
75#16837949C2211yescharacteristic, complemented
76#16837930—21no—
77#16837930C2211yescharacteristic
78#124×D59C2211yescharacteristic
79#16837884C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837791C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837779C2211yescharacteristic
86#16837777C2211yescharacteristic
87#16837767C2211yescharacteristic
88#16837765C2211yescharacteristic
89#16837763C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837757C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic
97#16837712C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837689C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic
106#16837656C2211yescharacteristic, complemented
107#16837656C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic
111#16837650C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic
114#16837636C2211yescharacteristic
115#16837633C2211yescharacteristic, complemented
116#16837632C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837602C2211yescharacteristic
132#16837602C2211yescharacteristic, complemented
133#16837602C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837600C2211yescharacteristic
136#16837598C2211yescharacteristic, complemented
137#16837598C2211yescharacteristic, complemented
138#16837597C2211yescharacteristic
139#16837597C2211yescharacteristic, complemented
140#16837597C2211yescharacteristic, complemented
141#16837596C2211yescharacteristic
142#16837596C2211yescharacteristic, complemented
143#16837596C2211yescharacteristic, complemented
144#16837596C2211yescharacteristic, complemented
145#16837567C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic
147#16837550C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837537C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic
160#16837534C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837513C2211yescharacteristic, complemented
165#16837513C2211yescharacteristic, complemented
166#16837506C2211yescharacteristic, complemented
167#16837505C2211yescharacteristic, complemented
168#16837505C2211yescharacteristic, complemented
169#16837489C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic
184#16837402C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186C2×#14273647C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic
189C59×#520C2211yescharacteristic, complemented
190C59×#483C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic
192C59×#476C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×Q8×D59C2311yescharacteristic
212C22×D236—21no—
213C22×D236C2311yescharacteristic
214C2×D4×D59—21no—
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217#14273759—42no—
218#14273754—42no—
219#14273754—42no—
220#14273752—42no—
221#14273750—42no—
222#14273747—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273726—21no—
250#14273726C2311yescharacteristic
251#14273724—21no—
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273723—21no—
256#14273723—21no—
257#14273723C2311yescharacteristic
258#14273723C2311yescharacteristic
259#14273723C2311yescharacteristic
260#14273722—21no—
261#14273722—21no—
262#14273722D411yescharacteristic
263#14273720—21no—
264#14273720D411yescharacteristic
265#14273719—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273717D411yescharacteristic
270#14273716—21no—
271#14273716—21no—
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273715—21no—
275#14273715—21no—
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273714C2311yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713D411yescharacteristic
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712D411yescharacteristic
294#14273710—21no—
295#14273710—21no—
296#14273710—21no—
297#14273710—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709D411yescharacteristic
302#14273707—21no—
303#14273707C2311yescharacteristic
304#14273705—21no—
305#14273705—21no—
306#14273705D411yescharacteristic
307#14273703—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273701—21no—
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700D411yescharacteristic
340#14273698—21no—
341#14273698—21no—
342#14273698—21no—
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273695—21no—
354#14273695—21no—
355Q8×Dic59C2311yescharacteristic
356Q8×Dic59C2311yescharacteristic
357C4×Dic118—21no—
358C4×Dic118C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236—21no—
362C4×D236—21no—
363C4×D236—21no—
364C4×D236—21no—
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368#14273689—21no—
369#14273689—21no—
370#14273689—21no—
371#14273689—21no—
372#14273689C2311yescharacteristic
373#14273689C2311yescharacteristic
374#14273689C2311yescharacteristic
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59—21no—
383C4×C22⋊D59C2311yescharacteristic
384C4×C22⋊D59C2311yescharacteristic
385#14273685—21no—
386#14273685C2311yescharacteristic
387#14273684—21no—
388#14273684C2311yescharacteristic
389C4⋊C4×D59—21no—
390C4⋊C4×D59C2311yescharacteristic
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C42×D59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
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(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C2×Q16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×Q8×C59C2311yescharacteristic
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465C2×C4⋊C4×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517#11745689—22no—
518#11745689—22no—
519#11745689—41no—
520#11745689—41no—
521#11745689—41no—
522#11745689—41no—
523#11745689—82no—
524Q8×D59—41no—
525Q8×D59—41no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—82no—
531#11745685—41no—
532#11745685—41no—
533#11745685—82no—
534#11745685—82no—
535#11745685—82no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236—82no—
554C2×D236C2×D411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×Dic118—21no—
578C2×Dic118—21no—
579C2×Dic118C2×D411yescharacteristic
580C2×Dic118C2411yescharacteristic
581Q16×C59—22no—
582SD16×C59—22no—
583SD16×C59—41no—
584D8×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59C2×D411yescharacteristic
609C22⋊C4×C59C2×D411yescharacteristic
610C42×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745672—22no—
622#11745671—22no—
623#11745671—22no—
624#11745671—22no—
625#11745671—41no—
626#11745671—41no—
627#11745670—41no—
628#11745669—41no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691#11745664—41no—
692C2×C59⋊C8—41no—
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697D472—41no—
698D472—41no—
699D472—41no—
700D472—41no—
701D472—41no—
702D472—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59C22×D411yescharacteristic
727C22×D59C22×D411yescharacteristic
728Q8×C59—21no—
729Q8×C59—21no—
730Q8×C59—21no—
731Q8×C59—81no—
732Q8×C59H(5,𝔽2)12yes—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—42no—
738D4×C59—81no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—42no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—41no—
759C22⋊D59—41no—
760C22⋊D59—42no—
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⋊D59—81no—
772C22⋊D59—81no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—41no—
793D236—42no—
794D236—42no—
795D236—42no—
796D236—42no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—41no—
813C4×D59—41no—
814C4×D59—42no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827Dic118—21no—
828Dic118—21no—
829Dic118—41no—
830Dic118—42no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62093—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C4×C59—21no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—22no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C2×H(5,𝔽2)11yescharacteristic
887C4×C59#58511yescharacteristic
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897#3558—591no—
898#3517—591no—
899#3399—591no—
900#3399—591no—
901#3371—591no—
902#3371—591no—
903#3326—591no—
904#3326—591no—
905#3318—591no—
906#3318—591no—
907#3306—591no—
908#3306—591no—
909#3274—591no—
910#3274—591no—
911#3271—591no—
912#3271—591no—
913#3268—591no—
914#3268—591no—
915#3257—591no—
916#3257—591no—
917#3253—591no—
918#3220—591no—
919#3220—591no—
920#3213—591no—
921#3125—591no—
922#3125D5911yescharacteristic, complemented
923#3115—591no—
924#3045—591no—
925#3045—591no—
926#3040—591no—
927#2995—591no—
928C2×C59—41no—
929C2×C59—81no—
930C2×C59—81no—
931C2×C59#348811yescharacteristic
932C2×C59#358511yescharacteristic
933C2×C59#358511yescharacteristic
934D59—41no—
935D59—41no—
936D59—81no—
937D59—81no—
938D59—81no—
939D59—81no—
940D59—81no—
941C2×#137—591no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×#135—591no—
946C2×#135—591no—
947#562—1181no—
948H(3,𝔽4)—1181no—
949#559—591no—
950#559—591no—
951#557—591no—
952#553—591no—
953#553—591no—
954#553—1181no—
955#553—1181no—
956#550—591no—
957#550—591no—
958#550—591no—
959#550—591no—
960#550—1181no—
961#548—591no—
962#548—591no—
963#547—591no—
964#547—1181no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969D42—591no—
970D42—591no—
971#542—591no—
972#542C2×D5911yescharacteristic
973#540—591no—
974#540—591no—
975#540—1181no—
976#540—1181no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#535—591no—
981#535—591no—
982#534—1181no—
983#532—591no—
984#532—591no—
985#532—1181no—
986#529—591no—
987#529—1181no—
988C2×#124—591no—
989#520—591no—
990#520C2×D5911yescharacteristic, complemented
991C4×#41—591no—
992#496—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#493—591no—
997#493—591no—
998#490—591no—
999#490—591no—
1000#489—591no—
1001#489—591no—
1002#488—591no—
1003#488—591no—
1004#483—591no—
1005#483C2×D5911yescharacteristic, complemented
1006#482—591no—
1007#482—591no—
1008#481—591no—
1009#481C2×D5911yescharacteristic
1010#479—591no—
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#476—591no—
1015#476—591no—
1016#476—591no—
1017#476C2×D5911yescharacteristic, complemented
1018#475C2×D5911yescharacteristic, complemented
1019#474—591no—
1020#469—591no—
1021#469—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#466—591no—
1029#466—591no—
1030#465—591no—
1031#465—591no—
1032#464—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464C2×D5911yescharacteristic, complemented
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic, complemented
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#459—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#452—591no—
1063#452C2×D5911yescharacteristic, complemented
1064#449—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449C2×D5911yescharacteristic
1072#448—591no—
1073#448—591no—
1074#447—591no—
1075#447—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#446—591no—
1081#446—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442C2×D5911yescharacteristic, complemented
1086#441—591no—
1087#441C2×D5911yescharacteristic, complemented
1088#440—591no—
1089#440—591no—
1090C4×SD16—591no—
1091C4×SD16—591no—
1092C4×SD16C2×D5911yescharacteristic, complemented
1093C4×SD16C2×D5911yescharacteristic, complemented
1094#436—591no—
1095#436—591no—
1096#435—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#433—591no—
1101#433C2×D5911yescharacteristic, complemented
1102#432—591no—
1103#424—591no—
1104#424—591no—
1105#423—591no—
1106#419—591no—
1107#418—591no—
1108#417—591no—
1109#417—591no—
1110C2×#102—591no—
1111C2×#102—591no—
1112C59#6209311yescharacteristic, complemented, Sylow
1113C2×#41—591no—
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41—1181no—
1119C2×#41—1181no—
1120C2×#41—1181no—
1121C2×#41C22×D5911yescharacteristic
1122C22×Q8—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128#137—2362no—
1129AGL(1,ℤ/8)—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132#135—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8C22×D5911yescharacteristic
1158C2×M16—591no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C22×C8—591no—
1163C22×C8—591no—
1164C4⋊Q8—591no—
1165C4⋊Q8—1181no—
1166C4⋊Q8C22×D5911yescharacteristic
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#126—21no—
1177#126—591no—
1178#126—591no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—591no—
1184#125—591no—
1185#125—1181no—
1186#125—1181no—
1187#124—21no—
1188#124—591no—
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—591no—
1193#124—591no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
1204#123—21no—
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222C22⋊Q8—21no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8C22×D5911yescharacteristic
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121C22×D5911yescharacteristic
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278C4×Q8—591no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—1181no—
1283C4×Q8C22×D5911yescharacteristic
1284C4×Q8C22×D5911yescharacteristic
1285C4×Q8C22×D5911yescharacteristic
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315C4×D4C22×D5911yescharacteristic
1316#117—21no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117C22×D5911yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4C22×D5911yescharacteristic
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C42—591no—
1331C2×C42—1181no—
1332#107—591no—
1333#107—591no—
1334#106—591no—
1335#106—591no—
1336#106C22×D5911yescharacteristic
1337#106C22×D5911yescharacteristic
1338#106C22×D5911yescharacteristic
1339#106C22×D5911yescharacteristic
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97C22×D5911yescharacteristic
1392C4×C8—591no—
1393C4×C8C22×D5911yescharacteristic
1394C24—1181no—
1395C24—1181no—
1396C24—1181no—
1397#41—22no—
1398#41—41no—
1399#41—1182no—
1400#41—1182no—
1401#41—4722no—
1402#41—4722no—
1403#41—4722no—
1404#41—4722no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411C2×Q8—21no—
1412C2×Q8—591no—
1413C2×Q8—591no—
1414C2×Q8—1181no—
1415C2×Q8—1181no—
1416C2×Q8—2361no—
1417C2×Q8—2361no—
1418C2×Q8C23×D5911yescharacteristic
1419C2×Q8C23×D5911yescharacteristic
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4C23×D5911yescharacteristic
1491Q16—22no—
1492Q16—1182no—
1493SD16—22no—
1494SD16—41no—
1495SD16—1182no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—41no—
1504D8—2361no—
1505D8—2361no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514D8—2361no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518M16—2361no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8—2361no—
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C2×C8C23×D5911yescharacteristic
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4D4×D5911yescharacteristic
1556C4⋊C4D4×D5911yescharacteristic
1557C4⋊C4C23×D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
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—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4D4×D5911yescharacteristic
1605C22⋊C4D4×D5911yescharacteristic
1606C42—21no—
1607C42—21no—
1608C42—21no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C23—21no—
1620C23—21no—
1621C23—591no—
1622C23—591no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—4721no—
1629C23—4721no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—2362no—
1637C23C2×D4×D5911yescharacteristic
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—81no—
1642Q8—1181no—
1643Q8—1181no—
1644Q8—4721no—
1645Q8—2361no—
1646Q8—2362no—
1647Q8#1427377312yes—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—42no—
1653D4—81no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—2361no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2361no—
1693D4—2361no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—2361no—
1732C2×C4—2361no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4C2×D4×D5911yescharacteristic
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C24×D5911yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—1181no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—1181no—
1760C22—1181no—
1761C22—1181no—
1762C22—1181no—
1763C22—1181no—
1764C22—1181no—
1765C22—9442no—
1766C22—9442no—
1767C22—9442no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22C22×D4×D5911yescharacteristic
1784C4—21no—
1785C4—22no—
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4C2×#1427377311yescharacteristic
1805C4#1683823811yescharacteristic
1806C2—41no—
1807C2—81no—
1808C2—81no—
1809C2—4721no—
1810C2—4721no—
1811C2—4721no—
1812C2—4721no—
1813C2—4721no—
1814C2—2361no—
1815C2—2361no—
1816C2#2143775711yescharacteristic
1817C2#2143887411yescharacteristic
1818C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3125C2
socleC22×C59C23×D4
hypercenter#3125D59
hypocenterC59#62093
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #21438611C2semidirect
2. #21438096C2semidirect
3. #21437139C2semidirect
4. #21437136C2semidirect
5. #21436865C2semidirect
6. #21436860C2semidirect
7. #21436354C2semidirect
8. #21436352C2semidirect
9. #21436242C2semidirect
10. #21436235C2semidirect
11. #21436060C2semidirect
12. #21436055C2semidirect
13. #21435717C2semidirect
14. #21435709C2semidirect
15. #21435685C2semidirect
16. #21435683C2semidirect
17. #21435639C2semidirect
18. #21435629C2semidirect
19. #21435507C2semidirect
20. #21435506C2semidirect
21. #21435476C2semidirect
22. #21435148C2semidirect
23. #21435143C2semidirect
24. #21435081C2semidirect
25. #21434380C2semidirect
26. #21434250C2semidirect
27. #21433638C2semidirect
28. #21433635C2semidirect
29. #21433587C2semidirect
30. #21433261C2semidirect
31. C59×#3125C2semidirect
32. C2×#14273759C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273747C22semidirect
42. #16838128C22semidirect
44. #16838102C22semidirect
46. #16838100C22semidirect
47. #16838074C22semidirect
49. #16838073C22semidirect
50. #16838071C22semidirect
51. #16838071C22semidirect
55. #16838053C22semidirect
64. #16838007C22semidirect
66. #16838003C22semidirect
75. #16837949C22semidirect
79. #16837884C22semidirect
80. C4×#11745689C22semidirect
81. #16837791C22semidirect
82. #16837790C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
89. #16837763C22semidirect
90. #16837760C22semidirect
91. #16837758C22semidirect
92. #16837757C22semidirect
93. #16837734C22semidirect
94. #16837728C22semidirect
95. #16837728C22semidirect
97. #16837712C22semidirect
98. #16837709C22semidirect
99. #16837702C22semidirect
100. #16837701C22semidirect
101. #16837691C22semidirect
102. #16837691C22semidirect
103. #16837689C22semidirect
104. #16837679C22semidirect
106. #16837656C22semidirect
107. #16837656C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
111. #16837650C22semidirect
112. #16837647C22semidirect
115. #16837633C22semidirect
116. #16837632C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837624C22semidirect
120. #16837624C22semidirect
121. #16837622C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
124. #16837618C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
128. #16837616C22semidirect
129. #16837614C22semidirect
130. #16837614C22semidirect
132. #16837602C22semidirect
133. #16837602C22semidirect
134. #16837601C22semidirect
136. #16837598C22semidirect
137. #16837598C22semidirect
139. #16837597C22semidirect
140. #16837597C22semidirect
142. #16837596C22semidirect
143. #16837596C22semidirect
144. #16837596C22semidirect
145. #16837567C22semidirect
147. #16837550C22semidirect
148. #16837550C22semidirect
149. #16837550C22semidirect
150. #16837549C22semidirect
151. #16837549C22semidirect
152. #16837546C22semidirect
153. #16837542C22semidirect
154. #16837539C22semidirect
155. #16837538C22semidirect
156. #16837538C22semidirect
158. #16837537C22semidirect
160. #16837534C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
163. #16837513C22semidirect
164. #16837513C22semidirect
165. #16837513C22semidirect
166. #16837506C22semidirect
167. #16837505C22semidirect
168. #16837505C22semidirect
169. #16837489C22semidirect
170. #16837487C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
184. #16837402C22semidirect
185. #16837401C22semidirect
186. C2×#14273647C22semidirect
187. #102×D59C22semidirect
189. C59×#520C22semidirect
190. C59×#483C22semidirect
192. C59×#476C22semidirect
193. C59×#475C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#452C22semidirect
198. C59×#442C22semidirect
199. C59×#441C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#433C22semidirect
922. #3125D59semidirect
990. #520C2×D59semidirect
1005. #483C2×D59semidirect
1017. #476C2×D59semidirect
1018. #475C2×D59semidirect
1037. #464C2×D59semidirect
1047. #463C2×D59semidirect
1063. #452C2×D59semidirect
1085. #442C2×D59semidirect
1087. #441C2×D59semidirect
1092. C4×SD16C2×D59semidirect
1093. C4×SD16C2×D59semidirect
1101. #433C2×D59semidirect
1112. C59#62093semidirect

Maximal subgroups

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

subgroupindex
#214386112
#214380962
#214371392
#214371362
#214368652
#214368602
#214363542
#214363522
#214362422
#214362352
#214360602
#214360552
#214357172
#214357092
#214356852
#214356832
#214356392
#214356292
#214355072
#214355062
#214354762
#214351482
#214351432
#214350812
#214343802
#214342502
#214336382
#214336352
#214335872
#214332612
C59×#31252
#6209359